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2 years ago

Simplify 8 over 56 fraction

Mathematics

1 answer:

Tom [10]2 years ago

5 0

Answer:

Therefore, 8/56 simplified to lowest terms is 1/7.

Step-by-step explanation:

brainliest plzzzzzz

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If you shift the linear parent function, (X) = x down 6 units, what is the

jeka94

Answer:

Step-by-step explanation:

For a parent function y = f(x) and n > 0:

f(x) + n : move the graph n units up

f(x) - n : move the graph n units down

f(x + n) : move the graph n units to the left

f(x - n) : move the graph n units to the right

===================================================

We have

f(x) = x

Transformation: 6 units down

f(x) - 6 = x - 6

3 0

2 years ago

You only have nickels and dimes in your piggy bank. When you ran the coins through a change counter, it indicated you have 595 c

Verdich [7]

Answer:

11 nickels and 54 dimes

21 nickels and 49 dimes

45 nickels and 37 dimes

8 0

2 years ago

Use spherical coordinates. evaluate (9 − x2 − y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0.

avanturin [10]

In spherical coordinates, we have

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}$

which gives volume element

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

and so the triple integral is given by

$\displaystyle\iiint_H(9-x^2-y^2)\,\mathrm dV$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9-\rho^2\sin^2\varphi)\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$
$=\displaystyle2\pi\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9\rho^2\sin\varphi-\rho^4\sin^3\varphi)\,\mathrm d\rho\,\mathrm d\varphi$
$=\dfrac{592\pi}{15}$

4 0

2 years ago

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Luden [163]

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Step 2: Solve for x

Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60
Combine like terms: -4.5x + 72 = -7.5x + 42
Add 7.5x on both sides: 3x + 72 = 42
Subtract 72 on both sides: 3x = -30
Divide 3 on both sides: x = -10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
Add: 4.5(18) + 36 = 102 - 2.5(-6)
Multiply: 81 + 36 = 102 + 15
Add: 117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

7 0

2 years ago

Describe two different strategies you could use to solve 16+35+24+14

kap26 [50]

$16 + 35 + 24 + 14 = 51+ 38 = 89$
$16 + 35 + 24 + 14 = 16 + 59 + 14 = 75 + 14 = 89$

3 0

2 years ago