this graph shows a proportional relationship. what’s the constant of proportionality ?

Answer:

Option B: This cannot be determined because we do not know the price of corn chips and soda and whether or not she fully spent her budget allocated to corn chips and soda.

Step-by-step explanation:

Maximization of utility of the goods given is defined as the satisfaction or benefit La Toya derived based on the amount of money she spent on the corn chips and bottles of soda.

Now, for us to know if she is maximizing utility, we need to know the price of the goods and also if she spent all the money she allocated for the corn chips and bottle of soda. This would in turn help us to know how she spent her money and if the expenses she made was most beneficial to her.

Thus, the correct answer is Option B

Answer:

Here is the answer

Step-by-step explanation:

∠1 and ∠6 are adjacent because they share the same vertex and the same common side.

∠2 and ∠5 are vertical angles since they have pairs on opposite sides of the angle.

∠3 and ∠6 have none of the above.

∠5 and ∠3 are a linear pair because the angles are opposite of each other.

Answer:a

Step-by-step explanation:

Answer:

[tex]a_n=2,\:a_n=a_{n-1}-5[/tex]

Step-by-step explanation:

If you map the sequence out, you get the following values:

a = 1, a(n) = 2

a = 2, a(n) = -3

a = 3, a(n) = -8

As you can see, the first term is 2 and the sequence is decreasing by 5 each time. Therefore, the answer is D.

Answer:

Person above is right i just did the quick check too

The answer is D

Answer:

the answer is b edge 2022

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

your answer is FandE happy to help :))))

Wait a minute - sorry I misunderstood the question lol

The equation of the parabola is y = -1/9(x- 1)^2 - 6.

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form.

It is given that the equation passes through (4 -7) and has vertex (1 -6) in vertex form will be;

y=a(x-h)^2 + k

Since the vertex is at (1, -6), we can write the equation as

y = a(x- 1)^2 - 6

Also, since the parabola passes through (4, -7), we can find the value for a,

-7 =  a(4 - 1)^2 - 6

-7 = 9a - 6

a = -1/9

Hence, the equation of the parabola is

y = -1/9(x- 1)^2 - 6

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Answer:

I believe the answer would be 10/40. First, I simplified all of the given rations. You do this by finding the two numbers greatest common factor. For example, 3/12, 3 goes into 3 once and 3 goes into 12 four times. So that ratio would be 1/4. If you continue the pattern you would get 1/4 for all of them. Therefore, 10/40 would be correct since it's ratio would also be 1/4.

Step-by-step explanation:

Answer:

C) Studying the effects of both therapy and no therapy on students

Step-by-step explanation:

Answer:

it’s d just did the quiz the above is no smart

Step-by-step explanation:

Answer:

Approximately 41 students can attend the inauguration

Step-by-step explanation:

Let x denotes number of students who can attend the inauguration.

Cost per student for food and lodging = $ 750

So,

Total cost = $ 750 x

Also,

Amount of rent = $ 11,500

As Barack Obama High School raised $42,350 for travel costs to travel to the 2021 inauguration in Washington D.C,

[tex]750x+11,500=42,350\\750x=42,350-11,500\\750x=30,850\\x=\frac{30,850}{750}\\ x=41.1[/tex]

So, approximately 41 students can attend the inauguration

Answer:

yor final answer is going to be 59

Step-by-step explanation:

59

Answer:

13

Step-by-step explanation:

Answer:

Y=4/5x-3

3=4/5x-y

Step-by-step explanation:

Percent Decimal Fraction

1%          0.01 1/100

Hope this helps

Answer/Step-by-step explanation:

Given that P varies directly with r, the equation for this direct variation would be:

[tex] P = rk [/tex],

Where,

P = power

r = radius

k = constant of variation.

If P = 550, when r = 11, constant of this direct variation is calculated as follows:

Plug in the values of P and r into the variation equation to find k.

[tex] 550 = 11k [/tex]

Divide both sides by 11

[tex] \frac{550}{11} = {11k}{11} [/tex]

[tex] 50 = k [/tex]

Constant of variation = 50

To find the radius (r) of the gear whose power (P) = 715, substitute P = 715 and k = 50 in the variation equation.

[tex] P = rk [/tex]

[tex] 715 = r*50 [/tex]

[tex] \frac{715}{50} = \frac{50r}{50} [/tex]

[tex] \frac{715}{50} = \frac{50r}{50} [/tex]

[tex] 14.3 = r [/tex]

r = 14.3

Answer:

the slope intercept formula would be: y=3/4x-3. Hope this helps!

Step-by-step explanation:

Answer:

Correct options are:

a) ( 0 , 445 )

d) ( 118 , 209 )

e) ( 172 , 101 )

Step-by-step explanation:

A nickel is worth 5 cents $0.05

A dime is worth 10 cents = $0.10

The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.

a) ( 0 , 445 )

b) ( 0.50 , 435 )

c) ( 233 , 21 )

d)( 118 , 209 )

e)( 172 , 101 )

Verifying the options

a) ( 0 , 445 )

0.10d+0.05n=22.25.

= 0.10(0) + 0.05(445) = 22.25

= 22.25 = 22.25

Options a) is correct

b) ( 0.50 , 435 )

0.10d+0.05n=22.25.

= 0.10(0.50) + 0.05(435) = 22.25

= 21.8 ≠ 22.25

Option b is incorrect

c) ( 233 , 21 )

0.10d+0.05n=22.25.

= 0.10(233) + 0.05(21) = 22.25

= 24.35 ≠22.25

Option c is incorrect

d) ( 118 , 209 )

0.10d+0.05n=22.25.

= 0.10(118) + 0.05(209) = 22.25

= 22.25 = 22.25

Option d) is correct

e) ( 172 , 101 )

0.10d+0.05n=22.25.

= 0.10(172) + 0.05(101) = 22.25

= 22.25 = 22.25

Option e) is correct

Answer:

4

Step-by-step explanation:

Let the required number be x.

Since, Five times the sum of a number and 3 is 35.

[tex]5(x + 3) = 35 \\ \\ x + 3 = \frac{35}{5} \\ \\ x + 3 = 7 \\ \\ x = 7 - 3 \\ \\ x = 4[/tex]

Answer:

5-2x=25

5-25=2x

-20=2x

x=-10

Step-by-step explanation:

Answer:

5 - 2 = 3

Step-by-step explanation:

Start with 5. Take away 2 from 5, and you get 3.

Hope this helped, if not, don’t hate.

2Answer:

r22

Step-by-step explanation:

Answer:

[tex]\boxed {x = 0}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x - 10 = 5x - 10[/tex]

-Take [tex]5x[/tex] and subtract it from [tex]x[/tex]:

[tex]x - 10 - 5x = 5x - 5x - 10[/tex]

[tex]-4x - 10 = -10[/tex]

-Add [tex]10[/tex] to both sides:

[tex]-4x - 10 + 10 = -10 + 10[/tex]

[tex]4x = 0[/tex]

-Since [tex]4x[/tex] does not equal to [tex]0[/tex], then [tex]x[/tex] must equal to [tex]0[/tex]:

[tex]\boxed {x = 0}[/tex]

Answer:

Step-by-step explanation:

If Laura wants to know how much Meyers she jogged in all, then she will need to find the perimeter of the entire soccer field.

Perimeter is a distance along the edges of a geometric shape.

Since the soccer field is rectangular in nature, the perimeter is calculated as;

P = 2(L+W)

L is the length

W is the width

Given

Length = 80meters

Width = 120metres

P = 2(80+120)

P = 2(200)

P = 400m

The total distance she covered is 400m

Hence the measurement she should find is Perimeter.

The coordinates of point B will be ( 29,-15).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that point A is (5, 7), point B is (x, y). The midpoint of AB is (17, -4).

The coordinate of the point B is calculated as,

17 = ( 5 + x ) / 2

5 + x = 34

x = 34 - 5

x = 29

( 7 + y ) / 2 = -4

7 + y = -8

y = -8 - 7

y = -15

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Answer:

The average rate of descent over the last 3 hours is 1000 ft/h.

Step-by-step explanation:

Rate of Change

It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.

The image shows the variation of Mike's height above sea level in feet with time in hours. We need to calculate the rate of change in the last three hours (from 7 to 10).

The rate of change can be calculated with the slope of the line, which formula is:

[tex]\displaystyle m=\frac{h_2-h_1}{t_2-t_1}[/tex]

Let's pick two points (7,4000) (10,1000):

[tex]\displaystyle m=\frac{1000-4000}{10-7}=\frac{-3000}{3}=-1000[/tex]

[tex]m=-1000\ ft/h[/tex]

Note the rate of change is negative, which means the height is decreasing.

The average rate of descent over the last 3 hours is 1000 ft/h.

Answer:

a is parallel to d

a and d are parallel, and are perpendicular to c and d (those are parallel to each other)

RESULT

They are parallel

Step-by-step explanation:

The distinct lines in the exercise are either parallel or perpendicular.

In geometry, || means parallel lines, while [tex]\mathbf{\perp }[/tex] means perpendicular lines

From the complete question (see attachment), we have the following highlights

Question 19.

Lines (a) to (d) are parallel.

So, lines (a) and (d) are parallel lines

Question 20.

Lines (a) to (c) are parallel.

But line (c) is perpendicular to line (d)

So, lines (a) and (d) are perpendicular lines

Question 21.

Lines (a) and (b) are parallel.

Lines (b) and (c) are perpendicular; so, lines (a) and (c) are perpendicular lines

Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines

Question 22.

Lines (a) and (b) are perpendicular.

Lines (b) to (d) are parallel; so, lines (a) and (d) are perpendicular lines

Question 23.

Lines (a) and (b) are parallel.

Lines (b) to (d) are perpendicular; so, lines (a) and (d) are parallel lines

Question 24.

Lines (a) and (b) are perpendicular.

Lines (b) and (c) are parallel; so, lines (a) and (c) are perpendicular lines

Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines

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and need to ask more questions

here is your answer

The measure of ∠5 is 64°.

In other words: m∠5 = 64°.

Answer:

See below.

Step-by-step explanation:

The cubic root of 49 is 3.66, so the dot should go between 3 and 4, a little closer to 4 than to 3.

She thought the problem was square root of 49 which is 7 and placed a dot on the 7.

Answer:

$ 175

Step-by-step explanation:

Create an equation:

5000 = ax + 2900

a > 75

x = 12 months

5000 = 12a + 2900

12a = 2100

a = 175

Answer:

b

Step-by-step explanation:

Answer:

6m+2p

Step-by-step explanation:

Simplify the expression