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3 years ago

Find the product or quotient. Express using positive exponents

Mathematics

1 answer:

Alex73 [517]3 years ago

6 0

Answer:

Step-by-step explanation:

$x^{-6}*x^{-5}=x^{(-6)+(-5)}=x^{-11}=\frac{1}{x^{11}}$

$x^{a}*x^{b}=x^{a+b}\\\\x^{-a}=\frac{1}{x^{a}}$

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Help me for a brainllest. A theater holds 2,680 seats. The lower level has 100 less than 2 times as many seats as the upper leve

Kaylis [27]

Answer: 1430

Step-by-step explanation: x + y + z = 2680

x = 2z - 100

y = 3z + 80

x + y = 5z - 20

6z - 20 = 2680

z = 450

y = 1430

Solution:

x = 800, y = 1430, z = 450

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expeople1 [14]

Answer:

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3 years ago

Which statement is true of the function f(x) = -3 squared root x

grigory [225]

Using translation concepts, it is found that the function $f(x) = -3\sqrt{x}$ is the function $g(x) = \sqrt{x}$ reflected over the x-axis and vertically stretched by a factor of 3.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, from $g(x) = \sqrt{3}$ to $f(x) = -3\sqrt{x}$ , g(x) was multiplied by -3, that is, it was reflected over the x-axis(due to the multiplication by the negative number) and vertically stretched by a factor of 3.

More can be learned about translation concepts at brainly.com/question/27948675

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2 years ago

Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh

beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = $\frac{80000}{\pi(64)^{2}}=6.2169899$

∴ The height of the water = 6.2 in. to the nearest tenth

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3 years ago