The following graph shows how many gallons of water leaves a bucket every hour.

- right the slope intercept equation. Find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation

Step-by-step explanation:

When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.

Answer:

y= 6/7

Step-by-step explanation:

0.5y + 7 = 5( 0.2 + 1.5y )

Get rid of the brackets first

0.5y + 7 = 1 + 7.5y

Move the like terms

0.5y + 7 - 7.5y = 1

0.5y - 7.5y = 1 - 7

Collect the like terms

-7y = -6

Divide both sides by -7 to get y on its own

y= -6/-7

A negative number divided by a negative number gives a positive number so

y = 6/7

Answer:

y=6/7  or 0.857 aprox.(0.86)

Step-by-step explanation:

[tex]0.5y+7=5(0.2+1.5y)[/tex]

[tex]0.5y+7=1+7.5y[/tex]

[tex]7.5y-0.5y=7-1[/tex]

[tex]7y=6[/tex]

[tex]y=6/7= 0.857[/tex]

I hope this help you

Answer:

3

Step-by-step explanation:

3

Answer:

4

Step-by-step explanation:

2 + 2 = 4

Answer:

Your answer is  B = 6

Step-by-step explanation:

[tex]A^{2} +B^{2} = C^{2} \\5^{2} + B^{2} = \sqrt{61} ^{2} \\B^{2} = \sqrt{61} }^{2} -5^{2} \\B^{2} = 61 - 25\\B = \sqrt{36} \\B = 6[/tex]

Hope this helps!

Answer:

1:102

2:78

3:102

4:78

5:102

6:78

7:102

8:78

Step-by-step explanation:

it is given r=s

then, t =100.

2s+t=180°

2s=180-100

2s=80°

s=40° = r

hope this helps you.

Answer:

It's the last option "24 + 49i + 15i^2"

Step-by-step explanation:

To solve you must do FOIL, (First, Outer, Inner, Last). To do this, you must do:

8 × 3 = 24 , 8 × 5i = 40i , 3i × 3 = 9i , and

3i × 5i = 15i^2 .

Don't forget to combine like terms.

Altogether: 24 + 49i + 15i^2 .

Picture does better job at explaining FOIL⤴⤴⤴

Hope this helps :)

Answer: 9+49i

Step-by-step explanation:

Answer:

Step-by-step explanation:

k= 100- 4n

what is n if k is 99 ​

-------

99 = 100 - 4n

4n = 100 - 99

4n = 1

n = 1/4 or 0.25

--------------check

99 = 100 - 4 × 1/4

99 = 100 - 1

99 = 99

the answer is good

Answer:

Step-by-step explanation:

i think its the third one..

Answer:

its 35 feet less

Step-by-step explanation:

but can u take another angled photo

Answer:

[tex]a_{n}[/tex] = 10n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then

[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n

The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.

Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.

Looking at the sequence we can see that the common difference d can be obtained as;

d = S2 - S1

= 20 - 10

= 10

d = S3 - S2

= 30 - 20

= 10

Learn more about arithmetic sequence:https://brainly.com/question/34721740

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Answer:

34 N.

Step-by-step explanation:

Net force in x direction = 65 cos 58

= 34 N.

Answer:

34N is the answer :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1000mm=1m

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Answer:

sorry man I dont know what it is

Answer:

points on the line: (0,3) (1,4) (-4,-5)

Step-by-step explanation:

put those points on the graph and just draw a line that connect to all of them

The function g(x) is a transformation (flipped upside down and horizontally stretched) of the quadratic parent function, f(x) = x2. g(x) = -0.5x².

Flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is −f (x).

Since, g(x) is an upside down function of f(x), g(x) = -f(x).

If we multiply a function by a coefficient, the graph of the function will be stretched.

A function h(x) represents a horizontal compression of f(x) if h(x) = f(cx) and c > 1.

A function h(x) represents a horizontal stretch of f(x) if h(x) = f(cx) and 0 < c < 1.

Since, g(x) is clearly a stretched transformation of f(x), c < 1.

The possible function g(x) = -0.5x².

Learn more about stretching a graph here

https://brainly.com/question/25753477

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Answer:

Approximately 13.41

Step-by-step explanation:

First do square root of each, which is finding what number multiplies by its self to get the number.

For example: The square root of 80 is approximately 8.94, and the square root of 20 is approximately 4.47.

So: 8.94 + 4.47 = 13.41 (Add normally, but remember to put the decimal in the right place).

Hope this helped :)

Answer:

−1(−15)(−3)

Hope this helps :)

-m2 + 18 m = 45

-m2 + m = 45/18

-m2 + m = 15/6

-m2 + m = 2.5

hope this helps

Answer: -2x + 12/5

Step-by-step explanation:

Answer:

A) 7.5 seconds

Step-by-step explanation:

Height of the ground is zero

-16t^2 + 120t = 0

Divide both sides by 16

-t^2 + 7.5t = 0

Factor out t

t(-t + 7.5) = 0

From the zero product rule

t = {0, 7.5}

0 would be time of launch

7.5 is time back to the ground

Answer: 8.75

Step-by-step explanation:

575 divided by 3 equals 175. Divided by 20 equals 8.75. Probably rounds up to 9 but i dont know.

t2-t1=20-10=10 t3-t2=30-20=10. t4-t3=40-30=10 therefore it is in proportion

Answer:

270

Step-by-step explanation:

because 25% blue 30% pink

so 25+30=55

100-55=45

600×45%=270 shirts

Answer:did u get it right

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first member of the pattern is 5

Thereafter, you subtract 2 from the member on the left

5 - 2 = 3

3 - 2 = 1

1 - 2 = - 1

Answer:

The answer is 27 6 times 4.5 is 27 Welcome!!!

Step-by-step explanation:

Brainiest ????

Answer:

567

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2x2=4-2 =2

Answer:

Option B, would be the correct option as she sets it in the attic window. I hope this helps you! :)