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3 years ago

Hannah and Zach together earn $950 for an

Mathematics

1 answer:

OlgaM077 [116]3 years ago

8 0

Answer:

$450

Step-by-step explanation:

Let R be the hourly pay rate in dollars per hour. Hannah worked 10 hours and Zach worked 9 hours for a total of $950, so we get the equation:

10R + 9R = 950

Solve for R:

19R = 950

R = 50

Zach worked for 9 hours, so the total he earned is:

9 hours * 50 dollars/hour = $450

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an initial population of 700 trout increases at an annual rate of 22%. Which exponential function models the trout population?

REY [17]

Answer:

$y=700(1.22)^{x}$

Step-by-step explanation:

Let

y-----> the trout population

x----> the time in years

we know that

$22\%=22/100=0.22$

$y=700(1+0.22)^{x}$

$y=700(1.22)^{x}$ ----->exponential function that models the trout population

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3 years ago

Find the slope from the graph

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Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Tanzania [10]

Tyler concludes that 5x² will always have a larger output for the same value of x.

<u>Look at the graph below and the table given</u>

Take a random value: x = 0

When 5x², y = 0

When 2^x, y = 1

Here, 1 > 0, making 2^x > 5x²

Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.

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3 years ago

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A sphere has a diameter of 10 in. What is the volume of the sphere?

givi [52]

The volume of sphere is $\frac{500}{3}\pi$ inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = $\frac{Diameter}{2}=\frac{10}{2}$

Radius of sphere = 5 inches

Volume of sphere = $\frac{4}{3}\pi r^3$

V = $\frac{4}{3}\pi (5)^3$

$V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi$

The volume of sphere is $\frac{500}{3}\pi$ inches cubed.

Keywords: volume, division

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3 years ago

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Four-fiths of a number minus two is greater then three-tenths of twice of that number

pashok25 [27]

Answer:

Step-by-step explanation:

4/5 x - 2 > 3/10 * 2x

4/5 x - 2 > 3/5 x

4/5 x - 2 - 3/5x> 0

1/5x > 2

x > 10

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3 years ago