Jenna wants to rent a mountain bike by the week. Identify the independent variables that affect the total rental cost.

Answer:

We know that the figure has a symmetry

angle 1 = angle 2

angle 1 =180°-(18°+90°) = 180° - 108°=72°

Therefore, angle 2 =72°.

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].

Step-by-step explanation:

Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[tex][C] = \{4,0,5\sqrt{3}\}[/tex]

Answer:

[tex]Mean = 109.364[/tex]

Step-by-step explanation:

Given

[tex]Data: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110[/tex]

Required

Calculate the mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

In this case:

[tex]n = 11[/tex]

So, we have:

[tex]Mean = \frac{147+ 160+ 80+ 110+ 121+ 164+ 62+ 90+ 76+ 83+ 110}{11}[/tex]

[tex]Mean = \frac{1203}{11}[/tex]

[tex]Mean = 109.364[/tex] -- approximated

Step-by-step explanation:

Volume of a cube

= (Side length of cube)³

= (4 yards)³

= 64 cubic yards. (D)

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Here:

[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]

Thus,

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

Answer:

C.) 2/3

Step-by-step explanation:

The line is divided into three sections, and we know the three sections combined equate to 1.

That means that each section is 1/3. The dot is placed on the second section.

That's how you know the fraction represented on the number line is 2/3.

Answer:

1/3 i think

Step-by-step explanation:

Answer:

yes because 1 divided by 2 is 0.5 which can be converted to 50%

Answer:

Answer:

Walmart has the better deal.

Step-by-step explanation:

If you divide the amount of money and the packs they sell, Walmart is cheaper.

Walmart: 20/4 = 5

Kroger: 18/3 = 6

Answer:

It is Walmart 4 packs for 20$

Step-by-step explanation:

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

Parallel lines always have equal slopes. Therefore any parallel line to a given line will share the same slope.

Answer:

-5/4

Step-by-step explanation:

Parallel lines have the same slope but a different y intercepts, because if you think about parellel lines, they'll never intersect-- if two lines have the same slope, that means they won't be able to intersect. However, if they have the same slope, they would be coinciding (the same). That's why the y intercepts are different.

Since the slope of the first line is -5/4, the slope for the line parallel to it would also be -5/4

hope this helps!

Answer:

where is the question

Step-by-step explanation:

Answer:

what's the question I can't see it

Ans 7, 9, 11

Step-by-step explanation:

Think of it as an equation.  You have 3 integers x, y, and z.

x + 2y = z + 14.  

Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.

In this case, 7 + (2 * 9) = 11 + 14

In this example, it took me three attempts to get the correct answer.

Answer:

y=291

Step-by-step explanation:

I did the math got 291.

Answer:

-9x + 5y =-1

x-intercept:   ( 1 9 , 0 )

y-intercept:  ( 0 , − 1 5 )

-3x + y = 4

x-intercept:  ( − 4 3 , 0 )

y-intercept:  ( 0 , 4 )

Answer:

p = [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

let the root be α then the other root is 3α

The sum of the roots of a quadratic equation is

α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]

Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )

α = [tex]\frac{2}{7}[/tex]

The product of the roots of a quadratic equation are

α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is

3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α

3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]

3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]

[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )

49p = 84 ( divide both sides by 49 )

p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]

Answer:

648 miles

Step-by-step explanation:

864/12=72

72 x 9= 648

plz mark brainliest :)

have a great day!!!

Answer:648

Step-by-step explanation:

Answer:

the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent

C.8.0×102

Answer: Distributive because 6 has to be multiplied by x and 7

Answer:

Step-by-step explanation:

2 plus 2 is four (4)

Answer:

The initial population is 200

The population after 10 years is 687

Step-by-step explanation:

Given

[tex]P(t) =\frac{800}{1+ 3e^{-0.29t.}}[/tex]

Solving (a): The initial population

Here:

[tex]t = 0[/tex]

Substitute 0 for t in P(t)

[tex]P(0) =\frac{800}{1+ 3e^{-0.29*0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3e^{0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3*1}[/tex]

[tex]P(0) =\frac{800}{1+ 3}[/tex]

[tex]P(0) =\frac{800}{4}[/tex]

[tex]P(0) =200[/tex]

The initial population is 200

Solving (b): Population after 10 years.

Here

[tex]t = 10[/tex]

Substitute 10 for t in P(t)

[tex]P(10) =\frac{800}{1+ 3e^{-0.29*10}}[/tex]

[tex]P(10) =\frac{800}{1+ 3e^{-2.9}}[/tex]

[tex]P(10) =\frac{800}{1+ 3*0.055}[/tex]

[tex]P(10) =\frac{800}{1+ 0.165}[/tex]

[tex]P(10) =\frac{800}{1.165}[/tex]

[tex]P(10) =687[/tex] -- approximated.

The population after 10 years is 687

Answer:

32768x^5

Step-by-step explanation:

[tex] {8x}^{5} [/tex]

...

Answer:

[tex]\sqrt{34[/tex]

Step-by-step explanation:

distance formula: