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RideAnS [48]
2 years ago
7

According to the graph what is the value of the constant in the equation below

Mathematics
2 answers:
murzikaleks [220]2 years ago
6 0
The width is the x-value, meaning that the constant has to be divided by the x-value to get the y-value (height), so take (5,20) for example.

The equation would be 20=(x/5). Multiply both sides by 5 to get x by itself. This gives you that x=100. The constant is 100.

Therefore, the answer is C: 100.
Musya8 [376]2 years ago
6 0

Answer:

100 is the answer

Step-by-step explanation:

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A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10:00am.If the Temperature drops by 3 degrees Fahrenheit
AysviL [449]

Given:

Temperature at 10:00 am = 8 degrees Fahrenheit

Temperature drops by 3 degrees Fahrenheit every hour.

To find:

The temperature by 2:00pm of the same day.

Solution:

Let y be the temperature after x hour after 10:00 am.

The temperature at 10:00 am is the initial temperature.

So, y-intercept of the linear function is 8.

Temperature drops by 3 degrees Fahrenheit every hour.

So, slope of linear function is -3. Here, negative sign represents the decrease in the temperature.

Slope intercept form of a linear function is

y=mx+b

where, m is slope and b is y-intercept.

Substitute m=-3 and y=8 in the above equation.

y=-3x+8

Difference between 2:00pm and 10:00 am is 4 hours. So, substitute x=4 in the above equation.

y=-3(4)+8

y=-12+8

y=-4

Therefore, the temperature by 2:00pm of the same day is -4 degrees Fahrenheit.

5 0
2 years ago
A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since t
kompoz [17]
400+600+600+600 which is basically 400+(600•3)
4 0
2 years ago
At a store, apples cost $0.80 $0.80 each and oranges cost $0.95 $0.95 each. Harry buys some apples and oranges and spends $9.55
gregori [183]

Answer:

Harry buys 6 apples and 5 oranges at the store.

Step-by-step explanation:

Given:

Cost of each apples = $0.8

Cost of each oranges = $0.95

Total money spend =$9.55

Number of fruits bought= 11

We need to find the number of apples bought and number of oranges were bought.

Solution:

Let the number of apples bought be 'a'.

Let the number of oranges were bought be 'o'.

Number of fruits bought= 11

So we can say that;

Number of fruits bought is equal to sum number of apples bought and number of oranges were bought.

framing in equation form we get;

a+o=11 ⇒ equation 1

Now we can say that;

Total money spend is equal to number of apples bought multiplied by Cost of each apples plus number of oranges were bought multiplied by Cost of each oranges.

framing in equation form we get;

0.8a+0.95o=9.55 ⇒ equation 2

Now Multiplying equation 1 by 0.8 we get;

0.8(a+o)=0.8\times11

0.8a+0.8o=8.8 ⇒ equation 3

Subtracting equation 3 from equation 2 we get;

0.8a+0.95o-(0.8a+0.8o)=9.55-8.8\\\\0.8a+0.95o-0.8a-0.8o=0.75\\\\0.15o=0.75

Dividing both side by 0.15 we get;

\frac{0.15o}{0.15}=\frac{0.75}{0.15}\\\\o=5

Substituting the value of o in equation 1 we get;

a+o=11\\\\a+5=11\\\\a=11-5=6

Hence Harry buys 6 apples and 5 oranges at the store.

3 0
2 years ago
You are visiting your friend Fabio's house. You find that, as a joke, he filled his swimming pool with Kool-Aid, which dissolved
Rzqust [24]

Answer:

The amount of work required to remove all of the water by pumping it over the side = 3.12 × 10⁶ lbs.ft

Step-by-step explanation:

Work done in moving anything from point A to point B = Fx

For this setup,

If we take an elemental vertical height, dx, The volume would be A.dx

where A = Cross sectional Area = πr² = π(18)² = 1017.88 ft²

dV = 1017.88 dx

The elemental force on that part will be

dF = ρg dV

ρg = 63.8 lbs/ft³

dF = 63.8 × 1017.88 dx = 64940.5 dx

F = ∫dF = 64940.5 dx

W = Fx = (∫dF)x = ∫ 64940.5x dx = 64940.5 ∫ xdx

We'll be integrating from (11 - 6) ft to 11 ft because that's the total height it'll be pumped through

W = 64940.5 (x²/2)¹¹₅ = 64940.5((11² - 5²)/2) = 3.12 × 10⁶ lbs.ft

4 0
2 years ago
Casey has a small business making dessert baskets. She estimates that her fixed weekly costs for rent, electricity, and salaries
Daniel [21]
500=2.5x+200

x=the amount of desserts.

500-200=2.5x
300=2.5x
x=120
C is the answer.
4 0
2 years ago
Read 2 more answers
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