Bill drove his car at a constant speed while on a trip. Kevin drove his car at a different constant speed while on the same trip. The graph and the table show information about the trips Bill and Kevin took.
​
​
​
​Which sentence correctly compares the rates Bill and Kevin drove on their trips​

Direct variation is represented by the formula [tex]\frac{y}{x} = k[/tex]

where k is the constant of variation.

So here, since we know that x = 24 and y = 8,

the constant of variation must be equal to 8/24.

if we write 8/24 in lowest terms, we have 1/3.

So 1/3 = k.

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

Answer:

9

Step-by-step explanation:

Answer:

0.5x⁴ - 9.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

0.5(x⁴ - 5) + 12

Step 2: Simplify

Answer:

1

Step-by-step explanation:

The answer is simply 1 as the leading term, x^4 has a coefficient of 1.

Answer:

The equation are true.

Step-by-step explanation:

Given

[tex]m * (-1) = m / (-1)[/tex]

Required

True or false?

We solve this question from right to left:

[tex]m * (-1) = m / (-1)[/tex]

Express / as *

[tex]m * (-1) = m * 1/(-1)[/tex]

[tex]m * (-1) = m * (-1)[/tex]

The expression on both sides of the equation are true.

Answer:

1

Step-by-step explanation:

Answer:396

Step-by-step explanation:your volume is 5.5 * 3 * 3 = 5.5 * 9 = 45 + 4.5 = 49.5 cubic inches. multiply that by 2*2*2 = 8 and you get 49.5 * 8 = 396 half cubic half inches. let's see if that makes sense. 11 half inches * 6 half inches * 6 half inches = 396 cubic half inches.brainliest?

Answer:

135

Step-by-step explanation:

The measure of the angle KSO is 135°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65

We know that, opposite angles of a parallelogram are equal,

Therefore, ∠ ORK = 70°

In triangle, SRO, ∠ ORK and ∠ ROS are interior angles, and ∠ KSO is an exterior angle,

We know, The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Therefore, ∠ KSO = ∠ ORK + ∠ ROS

∠ KSO = 135°

Hence, The measure of the angle KSO is 135°

For more references on parallelogram, click;

https://brainly.com/question/29147156

#SPJ2

Answer:

40

Step-by-step explanation:

maria is x

linda is 4x

x+ 4x = 200

5x = 200

x= 40

Answer:

[tex]f(x)=5(4)^x[/tex]

Step-by-step explanation:

The exponential function is [tex]f(x)=ab^x[/tex].  [tex]a[/tex] is the initial value of the function, or the y-value when x=0. In this case, [tex]a[/tex]=5. If we enter that into the equation:

[tex]f(x)=5b^x[/tex]

Then we can use another point to solve for [tex]b[/tex].

[tex]20=5b^1[/tex]

Since anything raised to the power of 1 remains the same, we can continue to solve algebraically.

[tex]20=5b\\\frac{20}{5}=\frac{5b}{5}\\b=4[/tex]

Now that we have both the [tex]a[/tex] and [tex]b[/tex] value, we can return to the exponential function and fill in the blanks.

[tex]f(x)=5(4)^x[/tex]

I hope this helps!

Answer:

4x+1

Step-by-step explanation:

Answer:

9.4 secs

Step-by-step explanation:

From Newton's law of cooling;

T(t) = Ts + Do e^-kt

Where;

D0= initial temperature difference

Ts= Temperature of the surroundings

t= time

K = positive constant

Do = 185 - 60 = 125 degrees

167 = 60 + 125 e^-3k

167 - 60 = 125 e^-3k

107/125 = e^-3k

ln(e^-3k) = ln(107/125)

-3k = -0.1555

k = 0.1555/3

k = 0.0518

Substituting the value of k to find the time taken to reach 137 degrees

T(t) = Ts + Do e^-kt

137 = 60 + 125 e^-(0.0518t)

137 - 60 = 125 e^-(0.0518t)

77 = 125 e^-(0.0518t)

e^-(0.0518t)= 77/125

ln [e^-(0.0518t)] = ln(77/125)

-0.0518t = -0.4845

t = 0.4845/0.0518

t = 9.4 secs

Answer:

Step-by-step explanation:

-2x - 6 = 2 - 4x - x + 1

-2x - 6 = 3 - 5x

3x - 6 = 3

3x = 9

x = 3

Answer:

6/35

Step-by-step explanation:

6/5÷7/1=6/5 x 1/7 = 6/35

Answer:

6/35

Step-by-step explanation:

Answer:

I think it would be 120

Step-by-step explanation:

You add 120+120 and it would equal 240. Then 240 dived by 2 which will equal 120.

(120 + 120)= 240 dived by 2= 120 I might be wrong

Answer: 3

Reason: 5 + 3 = 8

Answer:

t = 0.625

Step-by-step explanation:

Assuming this is 5t = 8:

5t = 8 | Given

t = 0.625 (5/8, divide 5 by 8 to separate the coefficient 5 from the variable t.)

Answer:

$75

Step-by-step explanation:

let 'x' = full price ticket

x + x + 0.4x = 180

2.4x = 180

x = 75

Answer:

11 : 8

Step-by-step explanation:

3 + 8 = 11

Answer:

11:8

Step-by-step explanation:

I think i may be wrong I hope this is right

Answer:

B. The change in the total amount if money for every one additional ride she goes on

Step-by-step explanation:

Given,

y = 26 + 1.5x, where,

y = total amount of money Eva will spend

x = number of rides Eva rides on

Thus,

Set price of admission into the amusement park = $26

Price per ride = $1.5

Therefore, the 1.5 I'm the equation can be said to be "the change in the total amount if money for every one additional ride she goes on".

Step-by-step explanation:

the answer is

3+5x=3

5x=0

x=0

Answer:

9+10=19 but if you are talking about the meme 21

Step-by-step explanation:

Answer:

Step-by-step explanation:

sorry need the points

Answer:

See below, I will let graphing part to yourself.

Step-by-step explanation:

First function: domain: [tex][-9,\infty)[/tex], range: [tex](-\infty, -2][/tex], decreasing

Second function: domain: [tex](-\infty, \infty)[/tex], range: [tex](-\infty, \infty)[/tex], increasing

Third function: domain: [tex][3, \infty)[/tex], range: [tex][-5,\infty)[/tex], increasing

Answer:

First function: domain: [-9,\infty)[−9,∞) , range: (-\infty, -2](−∞,−2] , decreasing

Second function: domain: (-\infty, \infty)(−∞,∞) , range: (-\infty, \infty)(−∞,∞) , increasing

Third function: domain: [3, \infty)[3,∞) , range: [-5,\infty)[−5,∞) , increasing

Step-by-step explanation:

this is what I use go to your app store and get Math. way and type your answer in

Answer:

a)  (c + 2)²

b)  (x + 2)(x - 4)

c)  (g + 2)(g + 6)

d)  (x + 2)(x - 9)

e)  (r + 9)(r + 1)

f)  (x - 6)(x - 4)

Step-by-step explanation:

Responder:

[tex]\frac{1}{10},\frac{4}{10},\frac{6}{10},\frac{8}{10},\frac{10}{10},\frac{14}{10}[/tex]

Explicación paso a paso:

Dado que los denominadores son iguales, organice los numeradores.

Answer:

[tex]\frac{1}{10} ,\frac{4}{10}, \frac{6}{10}, \frac{8}{10}, \frac{10}{10}, \frac{14}{10}[/tex]

¡Espero que ayude!

Lo siento si es mal español. No soy un hablante nativo. :P

Step-by-step explanation: