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2 years ago

What is the solution to the equation?

Mathematics

1 answer:

ki77a [65]2 years ago

7 0

Answer:

Step-by-step explanation:

$3 {(x + 9)}^{ \frac{3}{4} } = 24 \\ \\ {(x + 9)}^{ \frac{3}{4} } = \frac{24}{3} \\ \\ {(x + 9)}^{ \frac{3}{4} } = 8 \\ \\ {(x + 9)}^{ \frac{3}{4} } = {2}^{3} \\ \\ (x + 9) = {2}^{3 \times \frac{4}{3} } \\ \\ x + 9 = {2}^{4} \\ \\ x + 9 = 16 \\ \\ x = 16 - 9 \\ \\ x = 7$

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

son4ous [18]

Answer:

Step-by-step explanation:

Length=18

Width/Breadth =10

Height=2

The formula for a diagonal face of a cuboid is=√(l²+ b²)

Face diagonal=√(18²+10²)

= 20.59 to 2.d.p

The formula for the body diagonal of a cuboid is=√(l² + b² + h²)

Body diagonal=√(18² + 10² + 2²)

=20.69 to 2.d.p

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2 years ago

The points (8, -10) and (-21, 4) form a line segment.

Citrus2011 [14]

Answer:

The coordinates of the midpoint are;

(-6.5, -3)

Step-by-step explanation:

Here, we want to get the midpoint of the line segment

To get this, we use the midpoint formula;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

Thus;

(x,y) = (8 - 21)/2, (-10 + 4)/2

(x,y) = -13/2 , -6/2

(x,y) = (-6.5 , -3)

5 0

2 years ago

ASAP! GIVING BRAINLIEST! Please read question 10 THEN answer correctly! No guessing.

Lana71 [14]

Answer:

$x\degree = 75\degree$

Step-by-step explanation:

Property used: <em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>

$= > 62\degree + (x + 13)\degree = 2x\degree \\ \\ = > 62\degree + x\degree + 13\degree = 2x\degree \\ \\ = > 75\degree = 2x\degree - x\degree \\ \\ = > 75\degree = x\degree \\ \\ = > x\degree = 75\degree$

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2 years ago

Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What p

zvonat [6]

Answer:

15.39% of the scores are less than 450

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 565, \sigma = 113$