The table below shows the data collected on the number of car washes, y, each day since the Auto Spa opened, x.

Days Since Auto Spa Opened 0 20 40 60 80 100
Number of Car Washes 29 35 18 31 28 14

The owner of the new Auto Spa created a line of best fit for the data that can be modeled by the following equation.

y = -0.12x + 31.76

Match the slope and y-intercept with the correct description for the given situation.

titles
the number of cars washes on the day the Auto Spa opened

the ratio of car washes to the number of days since the Auto Spa opened

the number of car washes

the total number of days since the Auto Spa opened

the ratio in the number of days since the Auto Spa opened to the total profit

pair
y-intercept

slope

Answers

Answer 1

The slope is the ratio of car washes to the number of days since Auto Spa opened; and the y-intercept is the number of car washes on the day the Auto Spa opened.

Explanation:
This line of best fit is in slope intercept form: y=mx+b, where m is the slope and b is the y-intercept.

In this equation, m corresponds with -0.12 and b corresponds with 31.76.

The slope is the ratio of change in y to change in x. The y-coordinate of each point represents the number of car washes and the x-coordinate represents the number of days since Auto Spa opened; the ratio of change in y to change in x is then the ratio of the number of car washes to the number of days since Auto Spa opened.

The y-intercept is the point where the data crosses the y-axis; at this point, and all on the y-axis, the x-coordinate is 0. In this problem, the x is the number of days since Auto Spa opened; if it is 0, this means 0 days since it opened, which would be its opening day. Thus the y-intercept is the number of car washes on opening day.

Answer 2

Answer:

The slope is the ratio of car washes to the number of days since Auto Spa opened; and the y-intercept is the number of car washes on the day the Auto Spa opened.

Step-by-step explanation:

Related Questions

1. A sine function has the following key features:
Frequency = 16π
Amplitude = 2
Midline: y = 3
y-intercept: (0, 3)
The function is not a reflection of its parent function over the x-axis.
Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

2. A sine function has the following key features:
Period = 12
Amplitude = 4
Midline: y = 1
y-intercept: (0, 1)
The function is not a reflection of its parent function over the x-axis.
Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

3. A sine function has the following key features:
Period = 4π
Amplitude = 2
Midline: y = 3
y-intercept: (0, 3)
The function is a reflection of its parent function over the x-axis.
Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

4. picture

5. picture

Answers

Problem 1

See the attached image (figure 1)

16pi seems like a typo. I'm going to assume that it's a fraction and it is 1/(6pi)
f = 1/(6pi) = frequency
T = 1/f = 1/(1/(6pi)) = 6pi
Amplitude = 2
a = 2
b = 2pi/T = 2pi/(6pi) = 1/3
Midline: y = 3
d = 3

The function is
y = a*sin(bx-c)+d
y = 2*sin(1/3*x-0)+3
y = 2*sin(x/3)+3

===============================================

Problem 2

See the attached image (figure 2)

T = 12 is the period
a = 4 is the amplitude
b = 2pi/T = 2pi/12 = pi/6
y = 1 is the midline so d = 1
The y intercept is (0,1) which is the midline, which indicates no phase shifts have occurred so c = 0

The function is
y = a*sin(bx-c)+d
y = 4*sin((pi/6)x-0)+1
y = 4*sin((pi/6)x)+1

===============================================

Problem 3

See the attached image (figure 3)

Period = 4pi
T = 4pi
b = 2pi/T = 2pi/(4pi) = 1/2 = 0.5
Amplitude = 2
a = 2
Midline: y = 3
d = 3
y-intercept: (0,3)
The function is a reflection of its parent function over the x-axis, so 'a' is negative meaning a = -2 instead of a = 2

The function is
y = a*sin(bx-c)+d
y = -2*sin(0.5x-0)+3
y = -2*sin(0.5x)+3

===============================================

Problem 4

See the attached image (figure 4)

a = 10 which is half of the distance between the highest and lowest points
T = 8 is the period
b = 2pi/T = 2pi/8 = pi/4
c = -pi/2 is the phase shift since its really a cosine graph
d = 0 is the midline

The function is
y = a*sin(bx-c)+d
y = 10*sin((pi/4)*x+(-pi/2))+0
y = 10*sin((pi/4)*x+pi/2)

===============================================

Problem 5

See the attached image (figure 5)

a = 2 is the amplitude since it bobs up and down this distance from the midline
T = 8 seconds is the period (double that of the time it takes for it to go from the highest to the lowest point)
b = 2pi/T = 2pi/8 = pi/4
c = 0 is the phase shift as the buoy starts at normal depth of 20 meters
d = 20 is the midline

The function is
y = a*sin(bx-c)+d
y = 2*sin((pi/4)x-0)+20
y = 2*sin((pi/4)x)+20

===============================================

Answer:

1. Picture Below

2. Ordered Pair : (0,1) (3,5) (6,1) - Function: f(x)=4sin(pi/6x)+1

3. Ordered Pair : (0,3) (3.14,5) (6.27,3) - Function: f(x)= 2sin(1/2x)+3

4. I have no idea.

5. Plot the first point at (0, 20) and the second point at (2, 22)

Step-by-step explanation:

A circular pool is surrounded by a circular walkway. The radius of the pool is y − 4 and the radius of the full circle formed by the walkway is y + 4. Write a polynomial that represents the area of just the walkway itself, not including the space covered by the pool. (The area of a circle is given by A = πr ^2, where r represents the radius of the circle.)

Answers

Final answer:

The polynomial representing the area of the walkway is the difference between the area of the large circle (π(y + 4)²) and the small circle (π(y − 4)²).

Explanation:

To find the polynomial that represents the area of the walkway surrounding a circular pool, we need to calculate the difference between the area of the larger circle (walkway plus pool) and the area of the smaller circle (just the pool).

The radius of the pool is y − 4, and the radius of the walkway plus the pool is y + 4. The area of a circle is given by A = πr².

First, calculate the area of the large circle:

Area of the large circle = π(y + 4)²

Then, calculate the area of the small circle:

Area of the small circle = π(y − 4)²

Finally, the polynomial for the area of the walkway is found by subtracting the area of the small circle from the area of the large circle:

Area of the walkway = π(y + 4)² − π(y − 4)²

Final answer:

The polynomial that represents the area of just the walkway (not including the pool) is π(8y + 32).

Explanation:

To find the area of just the walkway, we need to subtract the area of the pool from the area of the full circle formed by the walkway. The area of the pool is given by A = πr ^2, where r is the radius of the pool (y - 4). The area of the full circle is given by A = πr ^2, where r is the radius of the walkway (y + 4). Therefore, the area of the walkway is (π(y + 4) ^2) - (π(y - 4) ^2). Simplifying this expression, we get the polynomial: π(8y + 32).

I need both answers now!

Answers

Part A:
Answer Is (B)

Part B:
Answers are: (C and E)

Hope this helps.

Please HELP.. MEDAL/ FAN
The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approximately what percent of the students are between 14 and 18 years old?
24.17%
62.47%
30.85%
93.32%,

Answers

The percentage of the students are between 14 and 18 years old is 62.47% .
So the solution for this is that P(students between 14 and 18 years) = 0.9332 - 0.3085 = 0.6247.
To get the percentage, just multiply it by 100 and you will get the answer.

Which value(s) of x would result in Set B being a function of the values in Set A? Select Function or Not a Function for each value of x. Are the following numbers a function or not a function

Answers

To determine if Set B is a function of the values in Set A, we need to ensure that each value of x in Set A has only one corresponding value in Set B:

-2: Function5: Function0: Not a Function1: Function-3: Function

For each value of x, we can determine if Set B is a function or not by checking if there is only one corresponding value in Set B.

For x = -2, there is only one corresponding value in Set B, so it is a function.

For x = 5, there is only one corresponding value in Set B, so it is a function.

For x = 0, there are multiple corresponding values in Set B, so it is not a function.

For x = 1, there is only one corresponding value in Set B, so it is a function.

For x = -3, there is only one corresponding value in Set B, so it is a function.

Therefore, Set B is a function of the values in Set A for all values of x except for x = 0.

The height of a tree was 4.8m .After one year the height of the tree was increased by 12.5%.find its new height

Answers

The new height of the tree after it has increased by 12.5% is 5.4 meters

To find the new height of the tree after it has increased by 12.5%, we start by calculating the increase in height using the following equation

Increase = 12.5% of the original height

The original height is given as 4.8m. So, the formula can be expressed as follows

Increase = 12.5% * 4.8

Increase = 0.125 * 4.8

Increase = 0.6 meters

Add the increase to the original height

New height = Original height + Increase

The above equation can then be expressed as follows

New height = 4.8 + 0.6

New height = 5.4 meters

How to solve
187=1/2*17(6+X)

Answers

The answer to 187=1/2*17(6+X) is X=16

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

the CORRECT answer is B because the person got it wrong saying A

Find the length of a line segment with endpoints of -9 and 7.
I don't understand how to do this.

A.-16
B.-2
C.16
D.26,

Answers

If you imagine a straight line, with -9 all the way on the left, then mark along the line in one number increments until you get up to 7, you will find that in total the line is 16 segments in total. Mathematically, this is a question of absolute value, ie absolute value of -9 = +9, and therefore 9 + 7=16.

evaluate the principal square root of 36 .
answer ??? help plz thank u :)),

Answers

The principal square root of a number is the positive square root of that number √36 can be +6 or -6 But the positive square root is +6 and that is the principal square root.

The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. The function below shows the relationship between f(x) and x:

f(x) = 10(1.3)x

Which of the following graphs best represents the function?

Graph of f of x equals 1.3 multiplied by 10 to the power of x
Graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity
Graph of f of x equals 10 multiplied by 1.3 to the power of x
Graph of f of x equals 1.3 to the power of x

Answers

3rd one.

f(x) = 10(1.3)^x

Answer:

The graphs that best represents the function is:

Graph of f(x) equals 10 multiplied by 1.3 to the power of x.

Step-by-step explanation:

The function that shows the relationship between f(x) and x: is:

[tex]f(x)=10\times (1.3)^x[/tex]

Graph of f(x) equals 1.3 multiplied by 10 to the power of x.

This means that the expression is given by:

[tex]f(x)=1.3\times (10)^x[/tex]

Hence, option: a is incorrect since it is not equal to the given function f(x).

Graph of exponential function going up from left to right in quadrant 1 through the point (0, 0) and continuing towards infinity.

In the given function f(x) when x=0 we have:

[tex]f(x)=10\times (1.3)^0\\\\\\f(x)=10\neq 0[/tex]

Hence, option: b is incorrect.

Graph of f(x) equals 10 multiplied by 1.3 to the power of x.

This means that the function f(x) is given by:

[tex]f(x)=10\times (1.3)^x[/tex]

which is obviously true.

Hence, option: c is correct.

Graph of (x) equals 1.3 to the power of x.

This means that the function f(x) is given by:

[tex]f(x)=(1.3)^x[/tex]

which does not m,atches the actual expression.

Hence, option: d is incorrect.

Jamie has 4 apples and 6 bananas. Each apple cost 0.75 and each banana cost 0.6” write an expression representing the total cost

Answers

(0.75*4) + (0.6*6) = 6.6

answer: 6.6

Hello!

4 x 0.75 + 6 x 0.6 = 6.6

Enjoy.
~Isabella

A. 11 cm^3
B. 14 cm^3
C. 15 cm^3
D. 25 cm^3

Answers

Lets get started :)

We need to find the radius of the larger cylinder

V = [tex] \pi [/tex]r²h
960 = [tex] \pi [/tex]r²(16)
[tex] \frac{960}{16} = \pi r^2[/tex]
60 = [tex] \pi r^2[/tex]
[tex] \frac{60}{ \pi } = r^2 [/tex]
r = [tex] \sqrt{ \frac{60}{ \pi } } [/tex]
r ≈ 4.27 cm

The ratio of the bigger cylinder to smaller is:
16 : 4

Therefore, the big cylinder is 4 times bigger than the small cylinder

[tex] \frac{4.37}{4} [/tex] = r
r = 1.09 cm (radius of small cyclinder)

V (small cylinder) = [tex] \pi [/tex](1.09)²(4)
= 15 cm³

Your answer will be C. 15 cm³

the volume of a cylinder= height * base area
while the base area = [tex] \pi r^{2}[/tex]
since the two cylinders are similar then the ratio between the two radii= the ratio between the two heights =16/4 =4
then the volume of the large cylinder with respect to the smaller dimensions= [tex] \pi * (4r)^{2} *(4*4)=(\pi r^{2} *4)*4*16[/tex]
but [tex] the volume of the smaller one = \pi r^{2} *4[/tex]
then the volume of the large cylinder = the volume of the smaller cylinder*4*16=960
then the smaller's volume= [tex] \frac{960}{4*16}=15[/tex]

Which of the following is equal to (2x/3 - 7) + 7

A. (2x - 7) + 21

B. 2x - 21/3

C. 3x/2

D. 2x/3

@texaschic101

Answers

Which of the following is equal to: (2x/3 - 7) + 7
The order of the mathematical operations is PEMDAS.
Therefor the first step you will take is to solve the operation inside the parenthesis.
(2x/3 - 7) =(2x/3 - 7)* 3/3 = 2x/3 - 21/3 = (2x - 21)/3
While adding or subtracting fractions, dont forget to check that each term have the same denominator.

Then the operation outside the parenthesis,

(2x - 21)/3 + 7 = (2x-21)/3 + 7 * 3/3 = (2x - 21)/3 + 21/3 =

(2x - 21 + 21) / 3 = 2x/3

The final answer is D. 2x/3

The correct answer is D. The number 7 is subtracted from the first term, 2x/3, but then an equal sum is added, and the two effectively cancel each other out. This means that the value of the first expression is essentially 2x/3, which is option D.

The table shows different geologic time periods: Period Number of Years Ago Jurassic 2.08 ⋅ 108 Silurian 4.38 ⋅ 108 Tertiary 6.64 ⋅ 107 Triassic 2.45 ⋅ 108

Order the time periods from oldest to youngest. (4 points)

1. Tertiary, Jurassic, Triassic, Silurian
2.Jurassic, Triassic, Silurian, Tertiary
3.Silurian, Triassic, Jurassic, Tertiary
4.Triassic, Silurian, Jurassic, Tertiary

Answers

I think it is C, or #3 Hope this helps pls mark brainliest if correct

What is 8.3x10^-9 in standard form?

Answers

.0000000083

( eight zeros.)

Time 6 years Interest rate 1.9% Principal- $850 What amount of simple interest will be earned? $16.15 O $96.90 $946.90 $9,690.00

Answers

Amount of simple interest will be earned is $96.90

Two numbers are in the ratio of 2 to 3. If the smaller number is 18, the larger number is _____. 21 27 36 54

Answers

x*3/2 - it's the larger one. The smaller number is 18. => the larger number is 18*3/2=27

the answer is 27

Answer: If two numbers are in a ratio of 2 to 3, this means that two times one number is equal to 3 times the other, or:

2*X = 3*Y, where X and Y are any numbers, and X is the bigger one and Y is the smaller one.

If Y=18, then:

2*X = 3*18 = 54

X=54/2 = 27

So the answer is 27.

A prism with a volume of 3125 ft³ is scaled down to a volume of 200 ft³.

What is the scale factor?
Enter your answer, as a decimal or a fraction in simplest form, in the box.

I think it's 2/5 or 0.4

Answers

the right answer is 2/5

Answer:

The scale factor is equal to [tex]0.4[/tex] or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

we know that

If two figures are similar. then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z------> the scale factor

x------> the volume of the dilated prism

y------> the volume of the original prism

[tex]z^{3}=\frac{x}{y}[/tex]

we have

[tex]x=200\ ft^{3}[/tex]

[tex]y=3,125\ ft^{3}[/tex]

substitute

[tex]z^{3}=\frac{200}{3,125}[/tex]

[tex]z=\sqrt[3]{\frac{200}{3,125}}[/tex]

[tex]z=0.4[/tex] or [tex]z=\frac{2}{5}[/tex]

6.
Evaluate cot 290º. Round your answer to the nearest hundredth.

–1.06
–0.36
2.92
–2.75,

Answers

The answer to your question is -0.36

The solution this is the following:
cot(110°) = -cot(70°)
cot(70°) = -1/tan(70°)
tan(70°) ≈ 2.75
-1/tan(70°) ≈ -0.36

The slope of the line whose equation is x+2y=3 is

Answers

See picture for answer.

Let m = slope in the picture.

Find the derivative of f(x) = |x2 – 1| at the point (1, 0).

Answers

[tex]\bf \stackrel{f(x)}{y}=|x^2-1|\implies y=\sqrt{(x^2-1)^2}\implies y=[(x^2-1)^2]^{\frac{1}{2}} \\\\\\ \cfrac{dy}{dx}=\stackrel{chain~rule}{\cfrac{1}{2}[(x^2-1)^2]^{-\frac{1}{2}}\cdot 2x}\implies \cfrac{dy}{dx}=x[(x^2-1)^2]^{-\frac{1}{2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{x}{[(x^2-1)^2]^{\frac{1}{2}}}\implies \cfrac{dy}{dx}=\cfrac{x}{\sqrt{(x^2-1)^2}} \\\\\\ \left. \cfrac{dy}{dx}=\cfrac{x}{|x^2-1|} \right|_{x=1}\implies \cfrac{1}{|1-1|}\implies \cfrac{1}{0}\implies und efined[/tex]

meaning, the function is not differentiable at x = 1, graph wise, it simply means is not a "smooth curve", instead is an abrupt edge, or a "cusp" or a "spike", so the graph may be continuous at x = 1, however, is the extremum is not a smooth curve, notice the picture below.

If the public debt of the United States in 2002 was $6,228,235,965,597.16 and the budget deficit in 2003 was $554,995,097,146.46, what was the public debt in 2003?

A. $11,778,186,937,061.76
B. $5,673,240,868,450.70
C. $5,549,950,971,464.60
D. $6,783,231,062,743.62

Answers

the answer is D
i am taking the test as well

Based on the public debt in 2002 and the budget deficit incurred in 2003, the public debt in 2003 was D. $6,783,231,062,743.62.

The budget deficit refers to the amount that the government had to borrow in order to fund the budget of the country.

To find the public debt in 2003 therefore, you need to add the debt of the previous year to the deficit of the current year.

= 2002 Public debt + Budget deficit

= 6,228,235,965,597.16 + 554,995,097,146.46

= $6,783,231,062,743.62

In conclusion, the public debt in 2003 was $6,783,231,062,743.62.

Find out more at https://brainly.com/question/3638352.

You are standing 40 feet away from a building that is 115 feet tall. What is the angle from the ground to the top of the building to the nearest degree?

Answers

whats the answer? i got 0.348??

PLEASE HELP ASAP!! WILL GIVE BRAINLIEST

Answers

I believe that it is D, so sorry if it's wrong, I haven't done this in a while.

i think you should have studied because it's real easy

And it's obvious that it's d

Choose the correct discount or markup. If an item has a retail price retail price = $995 and a discount of 15%, how much is the discount? It is $ options a. 149.25 b. 139.25 c. 144.50

Answers

To find the discount, simply multiply $995 times .15 (which is the decimal equivalent of 15%). 995 x .15 = 149.25
So the correct answer is (a). 149.25

Final answer:

The discount amount on an item with a retail price of $995 and a 15% discount is $149.25 that is option a is correct answer.

Explanation:

Discount Amount Calculation:

Calculate the discount amount by multiplying the retail price by the discount percentage.

Discount = $995 x 0.15 = $149.25.

The correct answer is $149.25 (option a).

What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

{x | x = –4, –1, 3, 5, 6} {y | y = –2, 0, 1, 4, 9} {x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9} {y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}

Answers

the domain is all the x values that makes the graph work so its -4,-1,3,5,6

What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
The domain is formed by the values of x, the first value of the ordered pairs (x,y), in this case 3, 6, -1, 5, and -4. Ordering the values:
Domain of the function={x | x = –4, –1, 3, 5, 6}
Answer: First option {x | x = –4, –1, 3, 5, 6}

What is the measure of
A. Cannot be determined
B. 74
C. 16
D. 32

Answers

The answer would be D. 32

Why? The triangle in the problem is an isosceles triangle. That means the two legs of the triangle are equal and the angle opposite to the equal legs are also equal.

Therefore, angle C is also 74°.

The sum of the interior angles of a triangle is equal to 180°.
Thus,
180° = ∡A + ∡B + ∡C
180° = 74° + ∡B + 74°
180° = 148° + ∡B
∡B = 180° - 148°
∡B = 32°

A trinket factory can produce 3,000 trinkets per day. The warehouse has a capacity of 50,000 trinkets. Currently, there are 8,000 trinkets in the warehouse. Assume that no trinkets are going to be shipped out of the warehouse for a while. 1) Write an equation for the number of trinkets in the warehouse after days. 2) How many days will it take to fill the warehouse?

Answers

An equation for the number of trinkets in the warehouse after x days:
8,000 + 3,000x = 50,000

How many days will it take to fill the warehouse?

8,000 + 3,000x = 50,000
3,000x = 42,000
x = 14

The equation for number of trinkets after x days is 8,000 + 3000 * x = y and the number of days required to fill the warehouse is 14.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The trinket factory can produce 3,000 trinkets per day

Total Capacity of warehouse is 50,000 trinkets

The trinkets in the warehouse is 8,000

The equation for the number of trinkets in the warehouse after x days is

Let y represents the total number of trinkets after x days

8,000 + 3000 * x = y

The days required to completely fill the warehouse is

8,000 + 3,000 * x = 50,000

3,000* x = 42,000

x = 14

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Eighty percent of the dogs have completed obedience classes. How many of the dogs have completed obedience classes? Five dogs of different breeds 4 dogs 3 dogs 2 dogs 1 dog

Answers

let
x--------> number of dogs that completed the obedience class

we know that
total number of dogs=5
Eighty percent of the dogs have completed obedience classes
so
x=0.80*5------> x=4

the answer is
4 dogs have completed obedience classes

Answer:
4 dogs have completed the obedience classes

Explanation:
We are given that 80% of the dogs completed the obedience classes and that the total number of dogs who attended the class was 5

This means that 80% of the 5 dogs have completed the class

Therefore:
number of dogs that completed the class = 80% * 5
= 0.8 * 5
= 4 dogs

Hope this helps :)

Other Questions

I know this for a fact, because when I was growing up, my mothers limited English limited my perception of her. I was ashamed of her English. I believed that her English reflected the quality of what she had to say. That is, because she expressed them imperfectly her thoughts were imperfect. What is the purpose of this text? a. to inform readers based on Tans childhood experienceb. to persuade readers to speak a different wayc. to inform readers of Tans mothers feelingsd . to persuade readers that Tans mother is intelligent Select three equations that have no solution. A.19 + b + 12b 8 5b = 2b 7 + 3b + 3b 4 B.4b 9b 13 6 + 16b = 1 8 + 6b + 5b 12 C.7 + 7b 2 15b + b = 4b 5 11b + 2 + 10 D.10b + 8b + 9 18b + 3 = 5 + 6b 2b 12 + 7 E.9 19b 9 2b + 7b = 4b + 3 + 14 4b 17 F.8b 10 + b + 3b + 2 = 7 + 2b + 10b 18 3 PLEASE HELP!!! In Act 2, how does Oberon and Titania's fighting make a negative impact on the Earth? A. the weather changes B. lovers' relationships become erratic C. worship of the gods cease D. all of the above Describe the way in which Gregors relationship with his family members changes or stays the same. After assessing a client, the nurse anticipates that the client has hyperpituitarism. which questions asked by the nurse helps confirm the diagnosis? select all that apply. Energy in most ecosystems must flow through autotrophs because ______. If a large Rubik's cube has a volume of 1331 cubic inches what is its surface area ? By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%? The speed limit on a highway is 55 miles per hour. This means that vehicles cannot legally drive at speeds over 55 miles per hour. Write an inequality that is true only for speeds in miles per hour, x, at which vehicles can drive legally on the highway. Howdidthestampact,theteaact,andtheintolerableactsencourageamericancoloniststoconsiderrevolutionagainstbritishrule?a)byrepresentinganeffortinbritaintoendthe? You have a potential difference of 8 v. how much work is done to transfer 0.32 c of charge through it? answer in units of j. a store received 500 containers of milk to be sold by Febuary 1. Each container the store sold $0.83 and sold for $1.67. The store signed a contract with the distributor in which the distributor agreed to a $0.50 refund for every container not sold by Febuary 1. If 470 containers were sold bu February 1, how much profit did the store make? Evaluate the expression 14.3 minus 2 times 5 to the 2nd power divided by 5 Rodney bought a 25-pound bag of dog food. His dog ate 10 2/5 pounds of the food in the first month and 10 4/5 pounds in the second month. How much dog food, in pounds, was remaining in the bag at the end of the two months? A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week. No, because the bike order does not meet the restrictions of 4c + 6a 120 and 4c + 4a 100 No, because the bike order does not meet the restrictions of 4c + 4a 120 and 6c + 4a 100 Yes, because the bike order meets the restrictions of 4c + 6a 120 and 4c + 4a 100 Yes, because the bike order meets the restrictions of 4c + 4a 120 and 6c + 4a 100 Explain at least 3 elements of Japanese culture that help Algren overcome his demons What would BEST account for the lack of population in the southwestern portion of Africa?A)The Sahara DesertB)The Kalahari DesertC)dense tropical rainforestsD)repeated volcanic activity Read the rough draft of a students conclusion to an argumentative editorial. (1) Year-round schooling would help student achievement. (2) Not so much information would have to be crammed into nine months. (3) Furthermore, the elimination of long breaks, particularly summer break, would significantly reduce "learning loss and the additional time wasted at the beginning of each academic year to reteach previously learned material. (4) It is clear that year-round schooling helps students learn and retain more. (5) The United States is not the only country to experiment with a year-round school schedule. (6) Although many still claim that evidence about year-round school and its link to higher achievement is inconclusive, these people need to open their eyes and see that students in these schools consistently score higher on certain assessments than students who attend schools with traditional nine-month calendars. (7) It is about time that we replaced our outdated and inefficient school calendars. Why should sentence 4 be removed from this conclusion? The two tables below show the success rates of several groups of businesses in a certain city. The first shows the number of businesses of several types started in Sharons city over the course of two years, and the number of those businesses which did not succeed and were forced to shut down within two years of opening. The second deals with separate records of successful new businesses, showing how much profit those new businesses turned over two years. Businesses on the boundary lines fall in the lower category. Type Food Retail Financial Service Opened 3,193 2,280 1,898 5,045 Closed 1,977 1,626 1,443 3,548 Up to $25k $25-50k $50-75k $75-100k Over $100k Food 945 623 601 258 114 Retail 813 548 347 188 63 Financial 316 244 195 86 51 Service 979 739 432 174 124 Using the tables as experimental data, determine which of the following situations have a probability of at least 15.00%. I. a food establishment succeeding and earning $50,000 or more II. a service establishment succeeding and earning between $25,000 and $75,000 III. a retail establishment succeeding and earning no more than $50,000 a. I only b. I and II c. II and III d. III only A message is sent from the Galileo spacecraft orbiting Jupiter to earth at a distance of 928,000,000km. If it took the signal 51.6 minutes to arrive, what is the calculated the speed of the signal in km/s?