3 years ago

An equation ____has one solution.

Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

Answer:

Always

Step-by-step explanation:

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An airplane is flying 600 mph on a horizontal path that will take it directly over an observer. The airplane remains a constant

dezoksy [38]

<h2>Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph</h2>

Step-by-step explanation:

We have by Pythagoras theorem

Distance between the observer and the airplane² = Horizontal distance² + Altitude²

d² = h² + a²

Here we have

h = X = 5 miles

a = 7 miles

d² = 5² + 7² = 74

d =8.60 miles

$\frac{dh}{dt}=600mph\\\\\frac{da}{dt}=0$

Differentiating d² = h² + a² with respect to time

$2d\frac{dd}{dt}=2h\frac{dh}{dt}+2a\frac{da}{dt}\\\\8.60\frac{dd}{dt}=5\times 600+7\times 0\\\\\frac{dd}{dt}=348.84mph$

Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph

5 0

4 years ago

Determine the margin of error in estimating the population mean, μ . A sample of 74 college students yields a mean annual income

Julli [10]

Answer:

$253

Step-by-step explanation:

Margin of error is the critical value times the standard error.

MoE = z × σ/√n

At 99% confidence, z = 2.576.

MoE = 2.576 × 844/√74

MoE = 253

7 0

4 years ago

The ratio of the heights of two similar prymaids is 3:2

Charra [1.4K]

What is the question?

4 0

3 years ago

Donovan can type 45 words per minute. He needs to type a report that is 9 pages long each page has about 300 words. What is a re

Lostsunrise [7]

Answer:

C.60

Step-by-step explanation:

Just multiply 300 by 9 and then divide by 45.

3 0

3 years ago

An equation is shown below with a missing value.

bogdanovich [222]

Answer:

The missing value is 512

$8=\sqrt[3]{512}$

Step-by-step explanation:

Let

x ----> the missing value

we have

$8=\sqrt[3]{x}$

solve for x

That means-----> isolate the variable x

Elevated both sides to the cube

$8^{3}=(\sqrt[3]{x})^{3}$

Remember that

$(\sqrt[3]{a})^{3}=(a^{\frac{1}{3}})^3=a$

$(\sqrt[3]{x})^{3}=x$

substitute

$8^{3}=x$

$512=x$

Rewrite

$x=512$

the equation is

$8=\sqrt[3]{512}$

5 0

4 years ago