Caden exercises daily by walking on a treadmill. He sets the machine so that he will walk at a steady rate of 3.6 miles per hour.


a. If t represents time in hours and d represents distance in miles, write an equation that models the relationship between these variables.


b. Use your equation to calculate the distance Caden will walk in 3/4 of an hour.


c. Use your equation to calculate how long it will take for Caden to walk 4.32 miles.

Answer:

Step-by-step explanation:

We know the interior and exterior angles are supplementary.

Let the exterior angle be x, then the interior angle is 8x.

We have:

We now have the exterior angle measure and we know the sum of all of them is 360°.

Find the number of sides:

Answer: Perpendicular

y = 5 is a horizontal line through 5 on the y axis

x = -1 is a vertical line through -1 on the x axis

sister's age = x

24 = 2x - 2

26 = 2x

x = 13

Answer:

U just said a random thing

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Just multiply both the top and bottom by 6 you get 18/24 from 3/4

Answer:

8/12 and higher. To ensure an accurate answer, are there other fractions to compare "7/12" to?

Step-by-step explanation:

Answer:

I think he will have 6,56$

Step-by-step explanation:

Componets of a vector are

[tex]x = r \cos(x) [/tex]

[tex]y =r \sin(x) [/tex]

The vector of F1 has a angle of 30 and radius of 30 n so the component are

[tex]x = 30( \cos(30) ) = {15 \sqrt{3} }[/tex]

[tex]y = 30 \sin(30) = 15[/tex]

F2 is a 90 degree so

[tex]x = 20 \cos(90) = 0[/tex]

[tex]y = 20\sin(90) = 20[/tex]

F3 is a 240 degree so we have

[tex]x = 35( \cos(240) ) = - 17.5[/tex]

[tex]y = 35 \sin(240) = - 17.5 \sqrt{3} [/tex]

F4 is 310 angle so we have

[tex]x = 40 \cos(310) = - 21.01[/tex]

[tex]y = 40 \sin(310) = 34.04[/tex]

The probability that the three people have chronic insomnia is the likelihood of people having chronic insomnia

The probability that the three people have chronic insomnia is 0.027

The proportion of people with chronic insomnia is given as:

p = 30%

Given that three people are selected, the probability that the three people have chronic insomnia is calculated as:

[tex]P(3) = p^3[/tex]

So, we have:

[tex]P(3) = (30\%)^3[/tex]

Evaluate the exponent

[tex]P(3) = 0.027[/tex]

Hence, the probability that the three people have chronic insomnia is 0.027

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Answer:

$0.50/cm

Step-by-step explanation:

Total number of ways to arrange the given trees is equals to 24ways.

" Combination is defined as total number of ways arrangement made without considering the order."

Formula used

Fundamental principle of counting

First group has 'm' objects

second group has 'n' objects

Total number of ways objects can be arranged  =m × n

According to the question,

Number of oak trees = 3

Number of pines tree = 4

Number of maples trees = 2

Substitute the given values in the formula we get,

Total number of ways to arrange the given trees = 3 × 4 × 2

                                                                                  = 24ways

Hence, total number of ways to arrange the given trees is equals to 24ways.

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Answer:

1000π

Step-by-step explanation:

π(r^2*h/3)=volume of cone

π(10√3^2*10/3)

10√3 is from using 30 60 90 Triangle to find AO

Answer:

[tex]\tt \angle QTS=1/2(m\:\widehat {sQ}-m\:\widehat{RP}[/tex]

[tex]\tt =1/2(154^{o}-80^{o})[/tex]

[tex]\tt =1/2(74^{o})[/tex]

[tex]\boxed{\tt m\angle QTS=37^{o}}[/tex]

~

[tex]\tt m\angle GKI=1/2(m\:\widehat{GI}+m\widehat{JH})[/tex]

[tex]\tt 55=1/2(76+m\:\widehat{JH})[/tex]

[tex]\tt 55(2)=76+m\: \widehat{JH}[/tex]

[tex]\tt 110+76=m\:\widehat{JH}[/tex]

[tex]\boxed{\tt m\:\widehat{JH}=34^{o}}[/tex]

~

answer I need a picture please

The graph given below is the rational function y = 1/(x + 1).

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

In the case of the function y = 1/(x + 1), the numerator is a constant function, which means that the function has a horizontal asymptote at y = 0.

The denominator, x + 1, is a linear function, which means that the function has a vertical asymptote at x = -1.

Therefore, the graph of the function will have a shape that is similar to a hyperbola.

Thus,

The graph given below is the rational function y = 1/(x + 1).

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Answer:

pattern B

Step-by-step explanation:

just took the test

The integral distributes over the sum:

[tex]\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \int 4x^{\frac34} \, dx + \int 2x^{\frac34} \, dx + \int 4x^{\frac12} \, dx + \int 2x \, dx + \int 2 \, dx[/tex]

Then just integrate each term using the power rule; if n ≠ -1, then

[tex]\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C[/tex]

Then your integral is simply

[tex]\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \frac{4x^{\frac34+1}}{\frac34+1} + \frac{2x^{\frac34+1}}{\frac34+1} + \frac{4x^{\frac12+1}}{\frac12+1} + \frac{2x^2}2 + \frac{2x^1}1 + C \\\\\\ = \frac{16}7 x^{\frac74} + \frac87 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C \\\\\\ = \boxed{\frac{24}7 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C}[/tex]

Answer:

Frequency means the number of times the value occurs in the data set.

Therefore, to determine the frequency of height 63, count the number of times "63" occurs in the data set.  From inspection of the data set, we can see that there are five "63"s so the frequency of 63 is 5.

Height   Frequency

63                5

64                1

65                6

66                2

67                3

68                3

69                4

70                0

71                 2

72                4        

Total          30

Answer: 2x7=14

Step-by-step explanation:

There are only three numbers that go with each equation, all you have to do is eliminate the ones that don't match.

Answer:

Can't see problem 1

2. C.

3. A.

4. C.

Step-by-step explanation:

Hope this helps!

Answer:

70cm

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY

how many lines are perpendicular to AB?

Hello!

1

middle!

Answer:

A. 1

Step-by-step explanation:

since the perpendicular line has to be at a 90 degree angle of AB and there is only one line which is at a 90 degree angle at AB.

Answer:

Job A= 12hrs and Job B= 10hrs

Step-by-step explanation:

first u need to make 2 equations, with 2 variables and the pay per hour for both jobs and let the first equal to the total pay at the end of the week

5.7x + 7.3y = 141.4

then the 2nd equation, let it equal to the total hours worked:

x + y = 22

you then make one of the variables the subject of the formula:

x= 22 - y

and substitute that formula into the first equation you would've made:

5.7(22-y) + 7.3y = 141.4 in this instance you then solve for y:

where y= 10hrs

given that y=10 you can then substitute it into either of the 2 equations:

x+y=22

x= 22-y

x= 22 - 10

x= 12hrs

therefore stating that Blake worked 12 hrs at job A and 10 hrs at job B

The length of one of the sides of the larger pentagon is 24 cm. The length of one of the sides of the smaller pentagon is 8 cm.

[tex]24[/tex]÷[tex]8=3[/tex]

So, if the larger pentagon is 3x the size of the smaller pentagon, we can find the area of the smaller pentagon by dividing the area of the larger pentagon by 3.

[tex]135[/tex]÷[tex]3=45[/tex]

The area of the smaller pentagon is 45in²

Hope this helps! Pwease mark me brainliest! Have a great day!

−xXheyoXx

[tex] \qquad \qquad \huge \rm \huge \overbrace{\underbrace{ \color{red}{ Answєr}}}[/tex]

hєrє wє gσ ~

[tex] \qquad⧉ \sf \: \: {x}^{2} - 5x + 6 = 0[/tex]

[tex] \qquad⧉ \sf \: \: {x}^{2} - 3x - 2x+ 6 = 0[/tex]

[tex] \qquad⧉ \sf \: \: {x}^{} (x - 3) - 2(x - 3) = 0[/tex]

[tex] \qquad⧉ \sf \: \: {}^{} (x - 3) (x - 2) = 0[/tex]

nσw, wє gσt twσ cαѕєѕ :

[tex]\qquad \sf  \dashrightarrow \: x = 3[/tex]

αnd

[tex]\qquad \sf  \dashrightarrow \: x = 2[/tex]

Answer:

622.08

Step-by-step explanation:

576 × (0.080 ÷ 1)

576 × 1.08

622.08

Answer:

622.08

Step-by-step explanation:

hope it helps you

Answer:

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.Step-by-step explanation:

The differentiation using the chain rule gives:

[tex]\frac{d(g(f(x)))}{dt} = g'(f(x))*f'(x) = \frac{1}{(kx)}*k = \frac{1}{x}[/tex]

Remember that:

[tex]ln(x) = \int\limits {\frac{1}{x} } \, dx[/tex]

Now, we want to derivate ln(kx) where k is a constant, the problem tells us to use the chain rule, so we define two functions:

Then we have:

g(f(x))

Remember that the chain rule says that:

[tex]\frac{d(g(f(x)))}{dt} = g'(f(x))*f'(x)[/tex]

In this case:

Then:

[tex]\frac{d(g(f(x)))}{dt} = g'(f(x))*f'(x) = \frac{1}{(kx)}*k = \frac{1}{x}[/tex]

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