If Chase needs to throw a basketball so that the path of the ball follows the curve of y=-x(x-3) at what point will the ball hit the ground?

Answers

Answer 1

To find out at what point will the ball hit the ground if Chase needs to throw a basketball so that the path of the ball follows the curve of y = -x(x - 3), we can begin by setting y equal to zero. Then, solve for x. Let's get started:y = -x(x - 3)0 = -x(x - 3). The ball will hit the ground at the points (0,0) and (3,0).

We can solve this equation by using the zero-product property. That means setting each factor equal to zero and solving for x:-x = 0orx - 3 = 0x = 0or x = 3So, the ball will hit the ground at the points where x = 0 and x = 3. To determine the corresponding y-coordinates of these points, we can substitute each value of x into the equation for y:y = -x(x - 3)For x = 0:y = -0(0 - 3) = 0For x = 3:y = -3(3 - 3) = 0

Therefore, the ball will hit the ground at the points (0,0) and (3,0).

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Answer 2
Final answer:

By setting y in the equation y = -x(x-3) to 0 and solving for x, we find that Chase's basketball hits the ground at x = 0 and x = 3.

Explanation:

In this problem, we have the equation of the basketball's trajectory as y = -x(x-3). The curve is derived from a quadratic equation, and since the basketball hits the ground when y equals to zero, we simply set y to 0 and solve for x. So we will have the following: 0 = -x(x-3). To solve this equation, we can set each factor equal to zero: -x = 0 and x - 3 = 0. Solving these equations give us x = 0 and x = 3, respectively. These are the two points where the ball hits the ground. Thus,Chase's basketball will hit the ground at the starting point of x = 0, where Chase threw the ball, and at x = 3, the point where the basketball lands.

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Related Questions

How many significant figures would this calculation have if it were completed: \[ (9.04-8.23+21.954+81.0) \times 3.1416 \]
A) 3 B)4 C)5 D)6

Answers

The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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What is the best description of parallel lines?
1. never intersect
II. form an angle of zero degrees between each other
III, never form an angle
IV. are coinciding lines
V. always maintain a constant distance from each other
VI. coplanar
A. I, II, III and VI only
B. I, II, III and V only
a. I, II, IV and V only
D I, II, V and VI only
A
B
O O O O
D

Answers

1,3,5,6 are correct answers

help pleaseeeeeeeeeeeeeeeeeee brainliest will be coming to you

help pleaseeeeeeeeeeeeeeeeeee brainliest will be coming to you

Answers

Answer:

8 in or .67

Step-by-step explanation:

Answer:

1 foot

Step-by-step explanation:

he used up 3/4 of it so 16x0.75=12 to find remaining length subtract 16-12=4

so there is a 4 foot board left then he gives 1/4 of that to his brother 4x0.25=1

so he gave his brother 1 foot of wood

How many squares are there in this diagram?​

Answers

Answer:

well sense you got the answer now, ima just take the points.

Step-by-step explanation:

its a 4x4 square with 16 squares

Consider the relationship in special right triangles to determine the tangent ratio for a 45 degree angle. Give your answer, as necessary, to the nearest thousandth place (three decimal place values).

Answers

Answer:

1

Step-by-step explanation:

The tangent of a angle is opposite side/ adjacent side

In a rights triangle with a 45° angle we have a special 45-45-90 triangle.

The legs of the triangle are congruent and are the opposite and adjacent sides of the 45° angle.  Therefore, the ratio of those two sides is 1.

Therefore, the tangent of 45° = 1

4. Leroy creates customized engraved

birthday cards for his schoolmates.

He charges them $0.75 per card, plus a

dollar for each engraved letter in

the recipient's name. The equation

C=0.75 + l describes the cost of a card

in dollars, c, that has a certain number of

letters in the name, l.

Number of Letters

in Name

Cost of Card

(dollars)

3.75

5.75

6.75

8.75

If you have $10.75 to spend on a card,

how many letters can be in the recipient's

name?

Answers

Answer:

10

Step-by-step explanation:

C = 0.75 + L

For L = 3 ; Cost, C = 3.75

3.75 = 0.75 + 3L

3.75 - 0.75 = 3L

3 = 3L

L = 3/3

L = $1

C = 0.75 + 1L

If amount spent is $10.75; C = 10.75

10.75 = 0.75 + L

10.75 - 0.75 = L

10 = L

Number of letters = 10

¿Qué relación hay entre una ecuación y una igualdad?

Answers

Respuesta:

que es una igualdad?

R// es la proposición de equivalencia existenten entre dos exprisiones algebraicas conectadas a através del signo = en la cual, ambas expresan el mismo valor .

¿Qué relación hay entre una ecuación y una igualda?

R// una ecuación solo cumple el igual para determinados valores de la variable; mientras que la igualdad la cumple siempre, sea el valor de la variable.

perdón solo eso se

adam bought a box of fruit that weighed 6 1/4 pounds. if he bought a second box that weighed 8 1/8 pounds , what is the combined weight of the boxes?

Answers

Answer:

14 3/8 pounds

Step-by-step explanation:

6 pounds plus 8 pounds= 14 pounds. 1/4 + 1/8= 3/8. 1/4 can be turned into 2/8, and 2/8 plus 1/8 equals 3/8. Hope this helps :)

Pedro is as old as Juan was when Juan is twice as old as Pedro was. When Pedro is as old as Juan is now, the difference between their ages is 6 years, find their ages now.

Answers

Both Pedro and Juan are currently 0 years old, which does not make sense in the context of the problem.

Let's assume Pedro's current age is P and Juan's current age is J.

According to the given information, Pedro is as old as Juan was when Juan is twice as old as Pedro was. Mathematically, this can be expressed as:

P = J - (J - P) * 2

Simplifying the equation, we get:

P = J - 2J + 2P

3J - P = 0   ...(Equation 1)

Furthermore, it is given that when Pedro is as old as Juan is now, the difference between their ages is 6 years. Mathematically, this can be expressed as:

(P + 6) - J = 6

Simplifying the equation, we get:

P - J = 0   ...(Equation 2)

To find their ages now, we need to solve the system of equations (Equation 1 and Equation 2) simultaneously.

Solving Equation 1 and Equation 2, we find that P = J = 0.

However, these values of P and J imply that both Pedro and Juan are currently 0 years old, which does not make sense in the context of the problem. Therefore, it seems that there might be an inconsistency or error in the given information or equations. Please double-check the problem statement or provide additional information to resolve the discrepancy.

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Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?

Answers

I do not know that that is hard

Answer: Why does this guy need so much soda? And my brain isn't working for math right now. Sorry sweetheart.

Step-by-step explanation: Have a nice day!

5
(a)
The inequality y>-2z+6
has a y-intercept of ___?
a slope of ?
and ?
we should use a ? Line
and shaded ? Line .

(b) Graph the solutions to the linear inequality: y> -2x+6
Use the "Line" tool to click on two points to create a line
Use the "Dashed" tool to click on one of the points to switch between solid and
dashed lines
Use the "Area" tool to select the region you'd like to shade

5(a)The inequality y>-2z+6has a y-intercept of ___? a slope of ?and ? we should use a ? Line and shaded

Answers

The slope is 2 and the y-intercept is 6.

Given that an inequality y > -2x + 6, we need to graph it,

and determine the slope and the y-intercept of the same,

To determine the slope and y-intercept of the inequality y > -2x + 6, we can first rewrite it in the form of y = mx + b, where m represents the slope and b represents the y-intercept.

The given inequality can be rewritten as an equation by changing the inequality sign to an equal sign:

y = -2x + 6

Comparing this equation with the standard form y = mx + b, we can identify the slope and y-intercept:

The slope (m) is the coefficient of x, which is -2.

The y-intercept (b) is the constant term, which is 6.

Therefore, the slope of the equation y > -2x + 6 is -2, and the y-intercept is 6.

To graph the inequality y > -2x + 6, we'll start by graphing the corresponding equation y = -2x + 6.

Then, we'll determine which side of the line represents the solution to the inequality.

Graph the equation y = -2x + 6:

To plot the line, we'll need to find two points on it.

We can do this by assigning values to x and solving for y.

Let x = 0:

y = -2(0) + 6

y = 6

So, one point on the line is (0, 6).

Now, let's choose x = 3:

y = -2(3) + 6

y = 0

Another point on the line is (3, 0).

Plotting these two points, we can draw a straight line through them:

Determine the side of the line representing the solution:

Since the inequality is y > -2x + 6, we want to shade the area above the line.

Using a dashed line to represent the equation y = -2x + 6, we shade the region above the line to indicate y > -2x + 6

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5(a)The inequality y>-2z+6has a y-intercept of ___? a slope of ?and ? we should use a ? Line and shaded

A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?

A.
The y-intercept is 7.

B.
The line has a positive slope.

C.
The point (1, 4) lies on the line.

D.
This line is parallel to the line whose equation is y = 2x – 7.

Answers

Answer:

B

Step-by-step explanation:

because the slopes is 3.

Use the given image and the lesson to create your own Question which would require a mapping statement. (with solution):

My Rotation Question is:

My solution (work and answer):

Please explain how/why you chose this question:

Use the given image and the lesson to create your own Question which would require a mapping statement.

Answers

The mapping statement for the transformation is: (x, y) -> (-(x) + 5, y + 3).

What is mapping?

In geometry, mapping is often used to describe transformations of geometric shapes, such as translations, rotations, reflections, and dilations.

Consider the triangle ABC, where A(1,-4), B(4,-4), and C(4,-2). Perform a reflection of this triangle over the y-axis, followed by a translation of 5 units to the right and 3 units up. Write the mapping statement for this transformation.

Solution:

The reflection over the y-axis can be represented by the mapping statement (x, y) -> (-x, y). Applying this to each vertex of the triangle ABC, we get:

A'(−1, −4), B'(−4, −4), C'(−4, −2)

Now, we apply the translation of 5 units to the right and 3 units up. This can be represented by the mapping statement (x, y) -> (x + 5, y + 3). Applying this to each vertex of the triangle A'B'C', we get:

A''(4, -1), B''(1, -1), C''(1, 1)

Therefore, the mapping statement for the transformation is:

(x, y) -> (-(x) + 5, y + 3)

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Help
Which of the following graphs has a slope of negative two thirds and a y-intercept of 2?

graph of a line passing through the points 0 comma 2 and 3 comma 0
graph of a line passing through the points 0 comma 2 and 2 comma negative 1
graph of a line passing through the points 0 comma 3 and 2 comma 0
graph of a line passing through the points 0 comma 3 and 3 comma 1

Answers

The required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tax where x in degrees.

m = (y₂ - y₁) /  (x₂ - x₁)

The graph of lines A  has the slope of -2/3 and 2 as,

m = (y₂ - y₁) /  (x₂ - x₁)

Put points (0, 2) and (3, 0) in the above expression
m = 0-2/3-0
m = -2/3

And at x = 0 there y = 2

Thus, the required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.

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If you traveled 175.5 miles, how many gallons of gas were used?

Answers

Answer: What kind of gas? What are we traveling in? Was there supposed to be some rate you left out?

Step-by-step explanation:

how many triangles are in a 18 sided polygon

Answers

Answer:

18

Step-by-step explanation:

how many triangles are in a 18 sided polygon

An 18 sided polygon, sometimes also called an octakaidecagon, it has 18 sides and therefore is made up of 18 triangles and has 18 vertices.

(look at the picture)

how many triangles are in a 18 sided polygon

225,165 people visited Korina's website on Saturday. On Sunday, the number of visitors decreased by 1,000. How many people visited Korina's website on Sunday?

Answers

As the number of people visiting each day is the same 404 people visited on Sunday.

We have,

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.

As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,

= (1212/3).

= 404.

So, On Sunday 404 visitors were there.

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complete question:

The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday

Laura borrowed $40,500 at 3% for 10 years. what was the total interest?

Answers

Answer:

$12,150

Step-by-step explanation:

I = Prt

I = (40500)(0.03)(10)

I = 12150

someone pls help...shud be rly easy for yall...question in the pic
will give brainliest! :)

someone pls help...shud be rly easy for yall...question in the picwill give brainliest! :)

Answers

Answer:

115 Degrees

Step-by-step explanation:

Isosceles Triangles have two congruent base angles so if one is 50 degrees, 180-50=130 degrees the base angles must be 130/2=65 degrees each. ACB is 65 degrees and makes a line with BCE, so their sum must be 180 degrees. 180-65= 115 Degrees= BCE

Find the surface area of this cube

Find the surface area of this cube

Answers

Answer:

512 in^3

Step-by-step explanation:

It would be length x height x width = AREA

8 x 8 x 8= 512 and since its 3d it will be 512^3

Okay so I will not be doing an explanation cause I do them to long so I will just give you the answer 512^2 in.Hope this helps :)

One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
lengths of all three sides, to two decimal places.

i would appreciate if you showed work so i know how you did it!

Answers

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

Find the circumference of the circle and show work

Find the circumference of the circle and show work

Answers

Answer:

43.98

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·14≈43.9823

Hey ! there

Answer:

Circumference of circle is 43.96 inches

Step-by-step explanation:

In this question we are provided with a circle having diameter 14 in . And we are asked to find the circumference of circle .

For finding circumference of circle , we need to know the formula for finding circumference . So ,

\( \qquad \quad \underline{\boxed{\frak{Circumference{(Circle)} = 2\pi r}}}\)

Where ,

π refers to 3.14 or 22/7

r refers to radius of circle

Solution : -

After reading question we get to know that we aren't provided with radius . So finding radius :

Radius = Diameter/2

Radius = 14/2

Radius = 7 in

Now , finding circumference :

Substituting value of π as 3.14 and radius as 7 in the forumula :

\( \longmapsto \qquad \: 2 \times 3.14 \times 7\)

Multiplying 2 with 3.14 :

\(\longmapsto \qquad \:6.28 \times 7\)

\(\longmapsto \qquad \: \blue{\underline{\boxed{\frak{43.96 \: in}}}} \quad \bigstar\)

Henceforth , Circumference of circle having diameter 14 in is 43.96 inches .

#Keep Learning

what day of the year does the subsolar ppoint fall on the eqautor

Answers

The subsolar point falls on the equator on two specific days of the year, which are the vernal equinox and the autumnal equinox.

The vernal equinox, also known as the March equinox or the spring equinox, occurs on or around March 20th. The autumnal equinox, also known as the September equinox or the fall equinox, occurs on or around September 22nd. On these two days, the subsolar point is directly over the equator, resulting in nearly equal amounts of daylight and darkness at all latitudes.
In summary, the subsolar point falls on the equator on the vernal equinox (March 20th) and the autumnal equinox (September 22nd).

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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. 1331+ 911 121 9 81 Step 1 121 1331 Σ ar n-1, To see 9 - 11 + +-.. as a geometric series, we must express it as - 81 n- 1 Σ arn-1 , the ratio of the the two terms,-arn ir" ar-1 For any two successive terms in the geometric series simplifies into an algebraic expression given by

Answers

The sum of the given geometric series is 4165.5

The given series 1331+ 911+ 121+ 9+ 81 can be expressed as Σ arn-1, where a=1331 and r=911/1331=0.682. To see the remaining terms as a geometric series, we can express them as -81(0.75)n-1. The ratio of any two successive terms in this series is -0.75, which is the value of r in the algebraic expression. Therefore, the entire series can be expressed as Σ arn-1, where a=1331 and r=0.682 for the first term and a=-81 and r=-0.75 for the remaining terms.

To determine if this series is convergent or divergent, we need to check if the absolute value of r is less than 1. |r|=0.75<1, so the series is convergent.

To find its sum, we can use the formula S=a/(1-r), where S is the sum of the series. Plugging in the values for a and r, we get:

S = 1331/(1-0.682) + (-81/(1-(-0.75)))
S = 4165.5

The sum of the given geometric series is 4165.5.

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The height of a helicopter above the ground is given by h = 3.05t3, where h is in meters and t is in seconds. At t = 2.35 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?

Answers

the height of the mailbag decreases as time increases, and the mailbag reaches the ground at t = 5.33 seconds.

The height of the mailbag after its release is given by the equation h = 3.05t3. At t = 2.35 seconds, the height of the mailbag is h = 3.05 * 2.35 * 2.35 = 39.58 meters. This means that the mailbag is still 39.58 meters above the ground. The equation for the height of the mailbag tells us that the height of the mailbag is decreasing at a rate of 9.15t2 meters per second. This means that the mailbag will take 39.58 / 9.15 = 4.33 seconds to reach the ground.

Therefore, the mailbag will reach the ground after 1 + 4.33 = 5.33 seconds

Here is a table of the height of the mailbag over time:

Time (seconds) | Height (meters)

------- | --------

2.35 | 39.58

2.36 | 35.43

2.37 | 31.28

... | ...

5.33 | 0

As you can see, the height of the mailbag decreases as time increases, and the mailbag reaches the ground at t = 5.33 seconds.

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REAL ASNWER ON THIS PLEASE

REAL ASNWER ON THIS PLEASE

Answers

Answer:

240 degrees

Step-by-step explanation:

360 - 120 = 240

Answer:

240° i think

Please help!!! 20 points

Please help!!! 20 points

Answers

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

A company has two large computers. The slower computer can send all the company's email in minutes. The faster computer can complete the same job in minutes. If both computers are working together, how long will it take them to do the job

Answers

Both the computers will take 18 minutes to do the job together.

The slower computer sends all the company's email in 45 minutes.

The faster computer completes the same job in 30 minutes.

Let's take minutes t  to complete the task together.

As they complete one job, we get the following equation:

\(\frac{t}{45}\)+\(\frac{t}{30}\)=1

LCM of 45 and 30 is:

45 = 3 x 3 x 5

30 = 2 x 3 x 5

LCM = 2 x 3 x 3 x 5 = 90

Now, solving for t;

⇒\(\frac{2t+3t}{90} = 1\\\frac{5t}{90} =1\\5t=90\\\)

Dividing both sides by 5;

\(\frac{5t}{5}=\frac{90}{5}\)

We get t = 18

Hence, it will take both the computers 18 minutes to do the job together.

A company has two large computers. The slower computer can send all the company's emails in 45 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?

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Fifteen turkey hens were randomly assigned to three groups of five. One group was given diet A, the second group diet B, and the third group diet C. We wish to know if there is a difference in the weight of eggs produced by the birds on these diets, and if so, which diet results in the largest eggs. The data are the mean weights of ten eggs from each bird. Check the normality and homogeneity assumptions first to see if you can use ANOVA.


Diet A 124 118 120 127 115

Diet B 98 100 95 102 105

Diet C 116 97 100 89 98


Required:

a. Create a data frame called turkey where the first column is the Diet and the second column is the EggWeights.

b. Test the normality assumption by running the Shapiro-Wilk Normality Test

c. Is the normality assumption violated? Explain.

Answers

The result will provide the test statistic and the p-value. If the p-value is less than 0.05, we would conclude that the normality assumption is violated.

a. To create a data frame called "turkey" with the first column as "Diet" and the second column as "EggWeights," you can use the following code in R:

R

Copy code

Diet <- c(rep("A", 5), rep("B", 5), rep("C", 5))

EggWeights <- c(124, 118, 120, 127, 115, 98, 100, 95, 102, 105, 116, 97, 100, 89, 98)

turkey <- data.frame(Diet, EggWeights)

b. To test the normality assumption using the Shapiro-Wilk test, you can use the following code:

R

Copy code

shapiro.test(turkey$EggWeights)

c. The normality assumption is violated if the p-value from the Shapiro-Wilk test is less than the significance level (typically 0.05). If the p-value is greater than 0.05, we fail to reject the null hypothesis of normality.

Based on the provided data, the Shapiro-Wilk test can be performed in R:

R

Copy code

shapiro.test(turkey$EggWeights)

The result will provide the test statistic and the p-value. If the p-value is less than 0.05, we would conclude that the normality assumption is violated. If the p-value is greater than 0.05, we would fail to reject the null hypothesis and conclude that the data are consistent with normality.

Note: Since the provided data is relatively small, the Shapiro-Wilk test may not have high power to detect departures from normality. However, it can still provide some insight into the normality assumption.

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PLEASE HELP!!!
Solve for X...
Cos30=x/8
Answer MUST be in radical form. NO DECIMALS.

Answers

cos(30)=x/8

Rewrite the equation as

x/8=cos(30)

Multiply both sides of the equation by

8

.

8

x/8=8⋅cos(30)

Simplify both sides of the equation.

Tap for more steps...

x=4√3

The result can be shown in multiple forms.

Exact Form:

x=4√3

Decimal Form:

x=6.9282032

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In considering muscle cell hypertrophy during exercise, the total amount of degraded protein depends upon the rate of protein catabolism and _________________. Convert 85 feet per day into miles per year. In order to receive positive cash returned on investment, the rate of return on an investment during periods of inflation should At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0. 15 and the probability that the flight will be delayed is 0. 11. The probability that it will not rain and the flight will leave on time is 0. 75. What is the probability that the flight would be delayed when it is raining? Round your answer to the nearest thousandth Classify each error as a sampling error or a non-sampling error. Sampling error Non-sampling error A mistake is made while copying down the responses. A specific group was accidentally excluded from the sample. The person distributing the medicine subconsciously made a face when handing out the placebo pill. The way questions were worded influenced the responses. The proportion in the sample is not equal to the proportion in the population. Some people refused to answer certain questions, and these people are likely to have different opinions from those who did answer those questions. A second hand car dealer has 7 cars for sale. She decides to investigate the link between the age of the cars, x years, and the mileage, y thousand miles. The date collected from the cars is shown in the table below.Age, x Year2376458Mileage, y thousand20181524292120Use your line to find the mileage predicted by the regression line for a 20 year old car.a.243b.21c.15d.234A second hand car dealer has 7 cars for sale. She decides to investigate the link between the age of the cars, x years, and the mileage, y thousand miles. The date collected from the cars is shown in the table below.Age, x Year2376458Mileage, y thousand20181524292120Find the least square regression line in the form y = a + bx.a.Y= 23- 0.4 Xb.Y= 23 + 4 Xc.Y= 10 + 53 Xd.Y= 43 + 10 XEach coffee table produced by Robert West Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Wests firm is small and its resources limited. During any given production period, 10 gallons of varnish and 12 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood.Formulate Wests production-mix decision as a linear programming problem, and solve. How many tables and bookcases should be produced each week? What will the maximum profit be?Use:x = number of coffee tables to be producedy = number of bookcases to be producedWhich objective function best represents the problem?a.P= 9 X + 12 Yb.P= 10 X + 12 Yc.P= X + Yd.P= X + 2 YEach coffee table produced by Robert West Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Wests firm is small and its resources limited. During any given production period, 10 gallons of varnish and 12 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood.Formulate Wests production-mix decision as a linear programming problem, and solve. How many tables and bookcases should be produced each week? What will the maximum profit be?Use:x = number of coffee tables to be producedy = number of bookcases to be producedFor the problem above, what is the optimal solution?a.96b.72c.90d.98 The vertical component of a force id 75N and the force itself is 140N. Calculate the horizontal component How did Islam spread from the Arabian Peninsula to Africa?A. Muslim armies took control of the Kingdom of Axum.B. African scholars traveled to Saudi Arabia to study Islam.C. Muslim traders spread their religion as they traveled.O D. African leaders invited Arab advisers to help them govern. breaking glass is an example of what type of change A. chemicalB. physicalC. elementD. compound Read this line from "For You O Democracy."I will make inseparable cities with their arms about each others necksWhat does this line suggest? Democracy will create unbreakable bonds among people.Whitman worries democracy may limit the expression of individuality in society.Democracy is more likely to be successful in highly populated areas.Whitman believes democracy will look the same in every part of the country. What is an equation of the line with slope 6 and y-intercept -4? Practiced terrace farmingBuilt a major road systemBuilt a large empirePioneered artistic techniquesUnified tribes under one religion whats the answer? 1.50x10^-1 m glucose solution made by dissolving the glucose in 100.0 kg of water:2.60x10^-2 m Na2CrO4 solution made by dissolving the Na2CrO4 in 1000.0 g of water:1.0010^-1 m urea solution made by dissolving the urea in 500.0 g of water: Is geothermal energy a natural resource I need assistance please.Your AssignmentMr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure A"B"C"D"E" using a series of two different transformations. They give two different answers.Answer the questions to investigate ways to transform ABCDE.1. Olivia finds a combination of two different transformations that moves ABCDE onto A"B"C"D"E". What is one way she might have done this? (3 points)2. Angelica reflects ABCDE over the y-axis and translates it up 8 units. Does her transformed figure match A"B"C"D"E"? If not, describe how her transformed figure compares to A"B"C"D"E". (3 points)3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not. (4 points) Besides the seed, what other major structure diminishes a plant's reliance on water for reproduction? consider the plane which passes through the three points and find the vector normal to this plane which has the form:(-7,2,-1)(-2,1,-5)(-2,2,-3) Someone please help I absolutely suck at these During his pilgrimage Musa carried tons of gold throughout Africa, whatMuslim country did Mansa Musa reach in the Eastern region of Africa?O SomaliaMoroccoEgyptZambia ASSAPP PLS!!! which of the following events did not occur during the 1970s?A President Richard Nixon was forced to resign.B. The OPEC embargo led to an oil shortage.C. Carl Albert served as Speaker of the House.D. The USSR shot down an American U2 spy plane.