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Bumek [7]
3 years ago
15

What is the answer to -7(z-6)=-70

Mathematics
2 answers:
Slav-nsk [51]3 years ago
5 0
-7(z - 6) = -70

-7z + 42 = -70
        - 42    -42

-7z = -112

-7z/-7 = -112/-7
z = 16

Answer: z = 16
aivan3 [116]3 years ago
5 0
Distribute to get rid of parentheses.                                     -7z+42= -70
Subtract 42 on both sides to get closer to isolating variable. -7z=-112
Divide -7 on both sides to finally isolate variable.                       z=16
Answer is z=16
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It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.
vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

y\ \alpha\ \frac{1}{x^2}

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

y\ = \ \frac{k}{x^2}

Where k is the constant of proportionality

When x decreased by 50%

Y = \frac{k}{(x - 0.5x)^2}

Y = \frac{k}{(0.5x)^2}

Y = \frac{k}{0.25x^2}

Expand

Y = \frac{1}{0.25} * \frac{k}{x^2}

Substitute \frac{k}{x^2} for y

Y = \frac{1}{0.25} * y

Y = 4 * y

Y = 4 y

The percentage change is then calculated as:

\%Change = \frac{Y - y}{y} * 100\%

\%Change = \frac{4y - y}{y} * 100\%

\%Change = \frac{3y}{y} * 100\%

\%Change = 3 * 100\%

\%Change = 300\%

<em>The percentage in y is 300%</em>

7 0
3 years ago
(7+4)6 =<br> Step by step is 42+24=66
ddd [48]

Answer:

66

Step-by-step explanation:

Add what is in the parenthesis, in this case 7+4:

(7+4)

=11

Multiply 11 by 6:

(11)6

=66

hope this helps :)

5 0
3 years ago
Read 2 more answers
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Delvig [45]

Answer:

f(x) = 2x + 2

Step-by-step explanation:

1×2=2+2=4

3×2=6+2=8

and keep going

6 0
3 years ago
You have never seen your favorite superhero in real life. Out of curiosity you calculate her height to be 1.57 mm . If the super
hjlf

Answer:

You are at the top of the Empire State Building on the 102nd floor, which is located 373 m above the ground when your favorite superhero flies over the building parallel to the ground at 70.0% the speed of light.

You have never seen your favorite superhero in real life. Out of curiosity you calculate her height to be 1.57 mm . If the superhero landed next to you, how tall would she be when standing?

Step-by-step explanation:

so this problem is from Einstein's special theory of relativity about length contraction.

the formula is given by:

L'=L\sqrt{1-\beta^2 }

where \beta =v/c

c is speed of light c=3*10^8 m/s and v is velocity of object.

L is called proper length. L' is length that the observer measure in moving frame.

here velocity of object is 70% speed of light. i.e   v=209 854 721 m / s

so L=1.57 m

putting all values

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3 years ago
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