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3 years ago

3. When Antoine or Adriane is halfway to the top of the Ferris wheel, what is his or her elevation? (Use the

Mathematics

1 answer:

klemol [59]3 years ago

3 0

Answer: 70

Step-by-step explanation:

Antoine's elevation when he is halfway to the top is 70. You cut the diameter (120) in half which gets you 60 and you add the height of the stand holding the wheel (10) which gets you 70.

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The scale on a map is 1 inch : 500 miles.

Radda [10]

875 miles times 500 miles per one inch, equals 1.75 inches on the map!

6 0

3 years ago

Solve for a. a+(−4)=−13

dangina [55]

In your equation: a+(-4)=-13
you then add four to each side,
so a= negative 13 plus 4
so a= -9

6 0

2 years ago

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The family of solutions to the differential equation y ′ = −4xy3 is y = 1 √ C + 4x2 . Find the solution that satisfies the initi

slega [8]

Answer:

The correct option is 4

Step-by-step explanation:

The solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}$

Now for the initial condition the value of C is calculated as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(-2)=\frac{1}{\sqrt{C+4(-2)^2}}\\4=\frac{1}{\sqrt{C+4(4)}}\\4=\frac{1}{\sqrt{C+16}}\\16=\frac{1}{C+16}\\C+16=\frac{1}{16}\\C=\frac{1}{16}-16$

So the solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}$

Simplifying the equation as

$y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1-256+64x^2}{16}}}\\y(x)=\frac{\sqrt{16}}{\sqrt{{1-256+64x^2}}}\\y(x)=\frac{4}{\sqrt{{1+64(x^2-4)}}}$

So the correct option is 4

8 0

3 years ago

Read 2 more answers

Topic: Area of non shaded area.

Dimas [21]

Answer:B) 150

Step-by-step explanation:

Area of rec= L×W

= 10×30= 300

Area of shaded area= 1/2 Base× Height

1/2×10×15=75

75×2 = 150

Area of unshaded part= 300-150= 150

8 0

2 years ago

Read 2 more answers

Katie invests $5,000 in an account earning 4% interest, compounded annually for 5 years. Two years after Katie's initial investm

Lyrx [107]

Emily earned $166 more in her account than Katie.

We use the compound interest formula for both of these:

$A=p(1+r)^t$

For Katie's deposit:
$A=5000(1+0.04)^5=5000(1.04)^5 = 6083.26$

This gives Katie 6083.26-5000 = 1083.26 in interest (1083, to the nearest dollar).

For Emily's deposit:
$A=10000(1+0.04)^3=10000(1.04)^3=11248.64$

This means she earned 11248.64-10000=1248.64 in interest (1249, to the nearest dollar).

The difference in interest is given by 1249-1083=166

4 0

3 years ago

Read 2 more answers