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).
For more such questions on point
https://brainly.com/question/28551043
#SPJ8
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.
Learn more about Quadratic Equations here:https://brainly.com/question/34196754
#SPJ2
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
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.
Learn more about significant figures here : brainly.com/question/29153641
#SPJ11
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
help pleaseeeeeeeeeeeeeeeeeee brainliest will be coming to you
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?
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).
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?
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?
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?
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.
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.
To learn more about equation, click here: brainly.com/question/27893282
#SPJ11
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?
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
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
Learn more about inequality click
brainly.com/question/20383699
#SPJ1
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.
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:
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)
To learn more about mapping visit:
https://brainly.com/question/28989903
#SPJ1
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
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.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ1
If you traveled 175.5 miles, how many gallons of gas were used?
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
Answer:
18Step-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)
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?
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.
learn more about the unitary method here :
brainly.com/question/28276953
#SPJ1
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?
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! :)
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
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
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!
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
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 inchesStep-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 22/7r refers to radius of circleSolution : -
After reading question we get to know that we aren't provided with radius . So finding radius :
Radius = Diameter/2Radius = 14/2Radius = 7 inNow , 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 Learningwhat day of the year does the subsolar ppoint fall on the eqautor
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).
Learn more about subsolar point :https://brainly.com/question/13020132
#SPJ11
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
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.
To learn more about geometric series visit:
brainly.com/question/4617980
#SPJ11
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?
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.
Learn more about decreasing here:
https://brainly.com/question/32610704
#SPJ11
REAL ASNWER ON THIS PLEASE
Answer:
240 degrees
Step-by-step explanation:
360 - 120 = 240
Answer:
240° i think
Please help!!! 20 points
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
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?
Learn more about work and time here https://brainly.com/question/13086625
#SPJ4
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.
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.
Learn more about hypothesis here:
https://brainly.com/question/29576929
#SPJ11
PLEASE HELP!!!
Solve for X...
Cos30=x/8
Answer MUST be in radical form. NO DECIMALS.
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