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LiRa [457]
3 years ago
8

16 increased by twice a number is -24. Find the solution??

Mathematics
2 answers:
marin [14]3 years ago
7 0
<em>The required equation is </em>

<em>2x + 16 = -24</em>
<em>=> 2x = -24 -16</em>
<em>=> 2x = -40</em>
<em>Dividing both sides by 2</em>

<em>x = -20</em>
Radda [10]3 years ago
6 0
x=?\\\\16+2x=-24\\2x=-24-16\\2x=-40\ /:2\\x=-20
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6.
joja [24]

Answer:

x² - 16

Step-by-step explanation:

Given

(x - 4)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) - 4(x + 4) ← distribute both parenthesis

= x² + 4x - 4x - 16 ← collect like terms

= x² - 16

6 0
4 years ago
Justin has a rectangular garden measuring 10ft by 16ft that he wants to split diagonally from corner to corner using a fence. Ho
balandron [24]

Answer:

The fence is 18.9 ft long.

Step-by-step explanation:

If you were to create a diagonal line from corner to corner with a square that is 10x16ft, you would have a triangle with 2 known sides and an unknown value. In this case, because you are making a 90° triangle, you can use Pythagorean Theorem:

a^{2} + b^{2} = c^{2}

  • by plugging in the two values given (10 and 16):

10^{2} + 16^{2} = c^{2}

  • solve

100 + 256 = c^{2}

356 = c^{2}

√356 = c

18.9 = c

4 0
3 years ago
A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise
DiKsa [7]

Answer:

We Reject H₀ if t calculated > t tabulated

But in this case,

0.83 is not greater than 2.056

Therefore, we failed to reject H₀

There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.

Step-by-step explanation:

Refer to the attached data.

The Null and Alternate hypothesis is given by

Null hypotheses = H₀: μ₁ = μ₂

Alternate hypotheses = H₁: μ₁ ≠ μ₂

The test statistic is given by

$ t = \frac{\bar{x}_1  - \bar{x}_2}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }  $

Where \bar{x}_1 is the sample mean of people who do not exercise regularly.

Where \bar{x}_2 is the sample mean of people who do exercise regularly.

Where s_1 is the sample standard deviation of people who do not exercise regularly.

Where s_2 is the sample standard deviation of people who do exercise regularly.

Where n_1 is the sample size of people who do not exercise regularly.

Where n_2 is the sample size of people who do exercise regularly.

$ t = \frac{72.7  - 69.7}{\sqrt{\frac{10.9^2}{16} + \frac{8.2^2}{12} } }  $

t = 0.83

The given level of significance is

1 - 0.95 = 0.05

The degree of freedom is

df = 16 + 12 - 2 = 26

From the t-table, df = 26 and significance level 0.05,

t = 2.056 (two-tailed)

Conclusion:

We Reject H₀ if t calculated > t tabulated

But in this case,

0.83 is not greater than 2.056

Therefore, We failed to reject H₀

There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.

4 0
3 years ago
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional
Harrizon [31]

Answer:

a right triangle has at lease on 90 degree angle

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What methods do stock analysts use to value an asset if they calculate profit minus the cost of capital?
Elan Coil [88]

Answer:

Economic Value Added (EVA)

4 0
3 years ago
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