Given the cruve R(t)=2ti+3t^2j+3t^3k
Find R’(t) =
Find’’(t) =

Answer:

The area of the triangle is 180 square inches

Step-by-step explanation:

The question gives us a triangle with the dimensions as

Base = 2 feet

Height = 15 inches

However the answer should be expressed in inches, which means we have to convert the measurements in feet to inches. Remember that 12 inches make one foot. Therefore, two feet would simply be

12 x 2

= 24 inches

With the dimensions now given as

Base = 24 inches

Height = 15 inches

Area of the triangle = ½B x H

Area of the triangle = ½ x 24 x 15

Area of the triangle = 12 x 15

Area of the triangle = 180 square inches

hope this helps

Answer:   c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.

Step-by-step explanation:

A residual plot is a graph that represents

Two main kids of plot are there.

First plot gives a random pattern, indicates a good fit for a linear model.

Other plots are non- random, indicates a good fit for a non- linear model.

Two points are correct for any residual plots :

c. The pattern shows the points are far from the zero line( basically u-shaped), indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.

Answer:

2.3333333333333333333333333333333 sec

Answer:

11cm2

Step-by-step explanation:

44/4 =11

1/4 of circle is shaded

To determine the placement of 4.7 on a number line between two decimals, 4/7 should be placed between the pair of decimals 0.57 and 0.58 on a number line.

The number 4.7 falls between the integers 4 and 5, so we need to find the decimal values that come after 4 and before 5.  The decimal value that comes after 4 is 4.1, and the decimal value that comes before 5 is 4.9.
1. Convert the fraction 4/7 to a decimal.
2. Identify the two consecutive decimals on the number line that the converted decimal falls between.

Step 1: Convert 4/7 to a decimal.
To do this, divide the numerator (4) by the denominator (7):
4 ÷ 7 ≈ 0.5714 (rounded to 4 decimal places)

Step 2: Identify the two consecutive decimals.
Now, we know that 0.5714 is the decimal equivalent of 4/7. To determine the pair of decimals on the number line, we can see that 0.5714 falls between 0.57 and 0.58.

So, 4/7 should be placed between the pair of decimals 0.57 and 0.58 on a number line.

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The probability that you have to wait an additional six minutes or more is 0.01800; 310.056

X is an exponential random variable with probability density function,

f(x) = λe − λx, x>0

The required probability that you have to wait for more than 5 minutes is give,

P (X>5) = ∞∫5 λe − λx

dx = λ(e − λx − λ) ∞5

= e − 5λn as,

So, the probability is e − 5λ

That probability that you have to wait for additional five minutes or more given that you have already waited for 10 minutes will be, = e − 5λ

So, the probability is e−5λ because exponential distribution is memory-less which means that it does not consider the past events happened.

therefore, the probability that you have to wait an additional six minutes or more is 0.01800; 310.056

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The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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Answer

There are 12 more yellow apples than red.

Step-by-step explanation:

How exactly?

First find how many bags of YELLOW apples. 9 bags in total and there is 1 bag of green apples and 3 bags of red apples so 9-(3+1)= 5 bags of YELLOW apples.

So we know there is 1 bag of GREEN apples and since each bag holds/ contains 6 apples we also know that 1x6= 6 so  g or GREEN apples is 6.

Now lets find how many RED apples there are :D. There are 3 bags of RED apples each containing 6 apples so we know 6+6+6= so r or RED apples is 18.

So, now we find how many YELLOW apples there are. 6 apples in each bag and there are 5 bags remaining for YELLOW apples we do 6x5 which equals 30 apples ( WOW My girl PAM?! She looove her yellow apples)

Lastly we know there are 30 yellow apples and 18 red apples we also know the question asked " How many MORE yellow apples are there than red apples?" so this means we subtract. 30-18= 12 MORE YELLOW APPLES THAN RED APPLES

The first statement is true, as the Tolivers are not eligible for a child credit regardless of the number of their children. However, the second statement is false, as the earned income credit is available to low-income taxpayers with dependent children.

The earned income credit helps to offset the burden of the federal payroll tax on low-income families and encourages individuals to seek employment rather than depend on welfare. Finally, the information about Mrs. Starling's employment does not provide enough information to determine any tax-related implications.
The statement regarding Mr. and Mrs. Toliver not being eligible for a child credit is true. Their Adjusted Gross Income (AGI) is $339,000, which is above the income threshold for eligibility for the child tax credit. The credit phases out for joint filers with AGI over $400,000, and they are not eligible due to their high income.
Regarding the Caseys, the earned income credit (EIC) is only available to low-income taxpayers with dependent children. The EIC helps offset the burden of federal payroll taxes on low-income families and encourages individuals to seek employment instead of relying on welfare. In the case of the Caseys, since Mrs. Casey is employed full-time as an attorney and Mr. Casey is an unpublished novelist with no income, they might not qualify for the EIC as they might not be considered low-income, depending on Mrs. Casey's salary.
Mrs. Starling worked for Abbot Inc. and earned $122,000 during her time there. She later worked for JJT Inc., and her salary from both companies should be combined to determine her total income for the year. Based on the given information, Mrs. Starling's total income can be used to determine her tax liabilities and eligibility for tax credits or deductions.

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Answer:

30 tiles

Step-by-step explanation:

We know

First store

$0.59 per tile

Rent a tile saw for $18

Second store

1 tile = $1.19

We have the equation

0.59x + 18 = 1.19x

18 = 0.6x

x = 30 tiles

So, she must buy 30 tiles for the same cost at both stores.

Answer:

Margo must purchase 30 tiles for the cost to be the same at both stores.

Step-by-step explanation:

By analyzing the "real-world" problem, we can convert the words into two algebraic equations.

Store 1:

"$0.59 per tile and rent a tile saw for $18."

y = 0.59x + 18

y = the price of the tiles bought

0.59 = price of one tile

x = number of tiles

18 = the fixed cost of a saw

Store 2:

"At another store, she can borrow the tile saw for free if she buys tiles there for $1.19 per tile."

In this case, the saw is free. Thus, we don't need to add a price to the equation.

y = 1.19x

y = the price of the tiles bought

1.19 = price of one tile

x = number of tiles

Now that we have both equations, we can write down the equations that equate other. This formula will indicate that the equations would intersect at a certain point on the x and y values. Hence, this step will answer how many tiles are required for both stores to equal the same price.

\(0.59x+18=1.19x\)

Now solve for x:

\(0.59x-0.59x+18=1.19x-0.59x\\\\18=0.6x\\\\\frac{18}{0.6} =\frac{0.6x}{0.6}\\\\30=x\)

Margo can buy 30 tiles from both stores for the cost to be equal.

You might ask, "But what about the price?" This is where we solve for y; this variable will answer how much the tiles would cost at 30 tiles. So, we can take the answer for "x" and plug it into any of the two equations.

\(y=1.19x\\y=1.19(30)\)

For this equation, all you have to do is multiply both numbers to get your answer.

\(y=35.7\)

Therefore, Margo can buy 30 tiles for the cost to be same at both stores at $35.70.

Answer:

C. Because they have the same slopes and different y-intercepts

Step-by-step explanation:

Answer:

Your answer would be the 3rd one.

Because they have the same slopes and different y-intercepts.

I hope that this is the answer you were looking for!

Have a great day!

Answer:

l = x · c / 360

l = 72 · 20 / 360

l = 1440 / 360

l = 4

Step-by-step explanation:

1. write down the arc length formula.

2. replace x and c by their values

3. multiply and then divide to get l

Answer:

Step-by-step explanation:

its a 12/14 probabiloty or a 92.5%

Step-by-step explanation:

I'll try:

7 boys choose 5   =   7! / (5!2!)  = 21 ways

4 girls  choose 2  = 4 ! / (2! 2!) =  6 ways

6 x 21 = 126 ways to choose   5 boys and 2 girls

11 cats total choose  7  =  11! /( 7! 4!)  = 330 ways to choose 7 cats

                   126 of these will be 5 boys and 2 girls

126 out of 330 = 126/330 = .382

Answer:

y = 3/4( x+5)( x+4) ( x-1)

Step-by-step explanation:

The formula for the polynomial is

y = c( x- a1)( x- a2) ( x-a3)  where c is a constant and a1,a2,a3 are the zeros

We have zeros -5,-4 and 1

y = c( x- -5)( x- -4) ( x-1)

y = c( x+5)( x+4) ( x-1)

We have a y intercept of -15

That means x=0 and y = -15

-15 = c ( 0+5)( 0+4) ( 0-1)

-15 = c( 5) ( 4) (-1)

-15 = c( -20)

Divide each side by -20

-15/-20 = c

3/4 =c

The equation is

y = 3/4( x+5)( x+4) ( x-1)

Answer:

integer natural and whole

Step-by-step explanation:

well oviously a integer because its a number and a natural i beleve because its not owned by any brakets such as a divide a multiply or a negitive so its naturalcand whole because ist a whole number and not split with fractions

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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Answer:

36

Step-by-step explanation:

Answer:

(x-3)(x-2)

= x^2-2x-3x+6

= x^2-5x+6

x(x-3)-3(x-2)

= x^2-3x-3x+6

x^2-6x+6

Answer:

Step-by-step explanation

Substitute 2y-1 for x in the second equation:

7x + 5y = -66

7(2y-4) + 5y = -66

then solve for y:

14y - 28 + 5y = -66

19y = -38

y = -2

Substitute -2 for y in the first equation:

x  = 2y - 4

x = 2(-2) - 4

x = -8

The lines intersect at (-8,-2)

Answer:

$103.5

Step-by-step explanation:

The sides are 3, 5, and 7 because 7 is less than 3 + 5, so it equals a triangle.

The smallest possible perimeter of such triangle would be 8.

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

\((a+b) > c\\(b+c) > a\\(c+a) > b\)

Given; 3 sides of the triangle are consecutive odd numbers.

The sides are 3, 5, and 7 because 7 is less than 3 + 5 so it equals a triangle.

The smallest consecutive odd numbers are 1, 3 and 5

Therefore, the smallest possible perimeter of such triangle = 8

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Answer:

D. Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?

-12 1/5 ÷ 4 2/5 = -8

A. Kari multiplied the compatible numbers –12 and 4.

-12 * 4 = 48

A. Is not correct

B. Kari found that the quotient of a negative number and a positive number is negative.

Example:

-a/a = -1

The rule is right

C. Kari found that the quotient of a positive number and a negative number is positive.

a/-a = -1

The rule is wrong

D. Kari added the compatible numbers –12 and 4.

= -12 + 4

= -8

Therefore, Kari error was that she added the compatible numbers –12 and 4.

Answer: Your answer would be 172 1/2

Step-by-step explanation: Hoped this helped you!!!

Answer:

16 cm3

Step-by-step explanation:

4 x 4 x 8 = 128

2 x 2 x 4 = 16

Answer:16 cm

Step-by-step explanation:

Answer:

d = -9

Step-by-step explanation:

d = -20 + (1 x 11)

=-20 + 11

=-9

Answer:

the slope of the line that passes throught (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)

given

(-4,3) and (-8,6)

slop=(6-3)/(-8-(-4))=(3)/(-8+4)=3/-4=-3/4

slope is -3/4

Step-by-step explanation:

Answer:

(y2-y1)/(x2-x1)

(6+1)/ (-8-10)

7/ -18 is the slope

Step-by-step explanation:

Answer:

Step-by-step explanation:

no because 6 , 7 and 10 doesn't add up to 180 so it is not

A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.

To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:

a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.

In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.

The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.

The sum of 36 kilometers and 49 kilometers is 85 kilometers.

The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.

Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.

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In a metes-and-bounds description, directions are typically given as a bearing, which is the angle measured clockwise from north.

So, if a direction is given as "north 10 degrees east," it means that the direction is 10 degrees to the east of due north.

To determine the opposite direction, we need to find the bearing that is 180 degrees opposite to "north 10 degrees east." To do this, we subtract 10 from 180, giving us a bearing of "south 170 degrees east."

In other words, the opposite direction of "north 10 degrees east" is "south 170 degrees east."

Metes-and-bounds descriptions are commonly used in real estate to describe the boundaries of a property. These descriptions rely on a series of directions and distances to outline the boundaries. Accurately understanding the directions in these descriptions is important in order to avoid boundary disputes or errors in land surveys.

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