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Eva8 [605]
3 years ago
5

If x/5 +6=-14,then x=

Mathematics
2 answers:
Alexandra [31]3 years ago
6 0

Answer:

-100

Step-by-step explanation:

\frac{x}{5}  + 6 =  - 14

Subtract 6 from both sides

\frac{x}{5}  =  - 20

Multiply both sides by 5

x =  - 100

Otrada [13]3 years ago
3 0

Answer: x= -100

Step-by-step explanation:

X/5=-14-6

X/5=-20

X=-100

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Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not
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Correct Answer: 
C option: 6 feet

Solution:
Since <span>Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
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This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>
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3 years ago
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g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and
scoray [572]

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \overline{x} = Sample mean , \mu= population mean, \sigma = population standard deviation, n= sample size.

As per given , n=10

\mu= $29,056

\sigma = $3,339

\overline{x} =  $31,650

Then,

z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46

Hence, the z-score = 2.46

4 0
3 years ago
A fish is 12 feet below the sea level. A bird is 28 feet above sea level. If the bird is directly
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Answer:

they are 40 feet apart!

Step-by-step explanation:

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Find the indicated function values for the function f(x) = 3x² + 2x - 6.
Mariulka [41]

The function values for the function f(x) = 3x² + 2x - 6, for the values are:

a. f(0) = -6

b. f(2) = 10

c. f(-4) = 34

d. f(b) = 3b² + 2b - 6

e. f(4a) = 48a² + 8a - 6

<h3>How are function values calculated?</h3>

To calculate function value f(k) for a function f(x), we substitute variable x = k, in the function f(x).

<h3>How to solve the question?</h3>

In the question, we are asked to find the function value for the function f(x) = 3x² + 2x - 6 for:

a. f(0)

b. f(2)

c. f(-4)

d. f(b)

e. f(4a).

We calculate these in the following ways:-

a. f(0):

We substitute the value of x = 0 in the function f(x).

Therefore f(0) = 3(0)² + 2(0) - 6,

or, f(0) = 0 + 0 - 6 = -6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>-6</u>.

b. f(2):

We substitute the value of x = 2 in the function f(x).

Therefore f(2) = 3(2)² + 2(2) - 6,

or, f(2) = 12 + 4 - 6 = 10.

Therefore, the function value f(2) for the function f(x) = 3x² + 2x - 6 is <u>10</u>.

c. f(-4):

We substitute the value of x = -4 in the function f(x).

Therefore f(-4) = 3(-4)² + 2(-4) - 6,

or, f(-4) = 48 - 8 - 6 = 34.

Therefore, the function value f(-4) for the function f(x) = 3x² + 2x - 6 is <u>34</u>.

d. f(b):

We substitute the value of x = b in the function f(x).

Therefore f(b) = 3(b)² + 2(b) - 6,

or, f(b) = 3b² + 2b - 6.

Therefore, the function value f(b) for the function f(x) = 3x² + 2x - 6 is <u>3b² + 2b - 6</u>.

e. f(4a):

We substitute the value of x = 4a in the function f(x).

Therefore f(4a) = 3(4a)² + 2(4a) - 6,

or, f(0) = 48a² + 8a - 6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>48a² + 8a - 6</u>.

Learn more about finding function values at

brainly.com/question/27943419

#SPJ2

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2 years ago
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