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3 years ago

What is the solution of 3 sqrt x+8=-4?

Mathematics

1 answer:

ryzh [129]3 years ago

4 0

Answer:

$x=-72$

Step-by-step explanation:

The given equation is $\sqrt[3]{x+8}=-4$ .

We cube both sides of this equation to obtain;

$(\sqrt[3]{x+8})^3=(-4)^3$ .

This implies that;

$(x+8)=-64$

We group similar terms to obtain;

$x=-64-8$

We simplify the right hand side of the equation to obtain;

$x=-72$

Therefore x=-72 is the solution of the given equation.

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Which of the following represents the solution to the inequality

amid [387]

Answer:

the question?

Step-by-step explanation:

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3 years ago

What is the slope of the line graphed below?

melisa1 [442]

Answer:

slope is 2

Step-by-step explanation:

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3 years ago

A househusband is cooking beef stew for his family in a pan that is (a) uncovered, (b) covered with a light lid, and (c) covered

raketka [301]

Answer:

Cooking will be shortest when the househusband covers the beef stew with the heavy lid.

Step-by-step explanation:

The explanation for this is that water boils at 100°C at normal atmospheric pressure & it remains at that temperature until all the water evaporates as steam; the temperature can then go higher in steam form.

So, if he leaves the pan uncovered the pressure above the beef stew will be the atmospheric pressure and the temperature of the stew will not pass the 100°C mark and the food cooks at 100°C.

If he places a light lid on top, the pressure will build up & the temperature at which water remains liquid is a bit higher, but eventually the steam will push the lid to escape thereby releasing pressure & reducing the temperature.

If he puts a heavy lid on the pan the pressure can build up the highest and the temperature of the water in the stew will stay the highest ensuring the fastest cooking.

Basically, the heavier the lid, greater the pressure in the pan. As the pressure gets greater, the saturation temperature at which water starts boiling will be higher. And higher boiling temperatures mean shorter cooking times.

8 0

3 years ago

For a data set of the pulse rates for a sample of adult? females, the lowest pulse rate is 39 beats per? minute, the mean of the

Zarrin [17]

Answer:

a) The difference is of 35 beats per minute.

b) So 3.07 standard deviations below the mean.

c) Z = -3.07.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu = 74$ , standard deviation $\sigma = 11.4$

a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the? females?

39 - 74 = -35

The difference is of 35 beats per minute.

b. How many standard deviations is that? [the difference found in part? (a)?

|Z| when X = 39. So

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

$Z = \frac{39 - 74}{11.4}$

$Z = -3.07$

|Z| = 3.07

So 3.07 standard deviations below the mean.

c. Convert the pulse rate of 39 beats per minutes to a z score.

From item b. above, Z = -3.07.

5 0

3 years ago

A triangle has side lengths of 21, 27, and 35 inches. Is it<br> right triangle?

DIA [1.3K]

Answer: No
In right triangle we have 30:60:90
and the ratios are
x: x root of 3: 2x
so, for example, if we have side of length 3 against 30 degrees, then against 60 degrees the side will be 3 root of 3, and against 90 degrees it will be 6.
Hope it helps!

3 0

3 years ago