Find the volume of the sphere to the nearest whole number. Use pi = 3.14. A. 131 in. 3 B. 393 in. 3 C. 4,187 in. 3 D. 523 in. 3

What Is -0.75-(-2/50)+0.4(-3/4)? Explain and answer the question please

lilavasa [31]

The answer is -1.01
I first changed the signs of the ones i could. So <span>-0.75+(2/50)+0.4(-3/4)
Then i multiplied the 0.4*-3/4 which equals -0.3
So you are left with </span><span>-0.75+(2/50)-0.3
2/50 is equal to 0.04 so now it is </span> -0.75+0.04-0.3 and the rest is simple math. Which equals -1.01

3 0

2 years ago

Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7

motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

In conclusion, the 8th term of the sequence is 896/2187.

8 0

2 years ago

Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9

castortr0y [4]

Answer:

<h2>x = 5√3 inches</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

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

where a is the hypotenuse

Substitute the values into the above formula

The hypotenuse is 10 inches

We have

${10}^{2} = {5}^{2} + {x}^{2}$

${x}^{2} = {10}^{2} - {5}^{2}$

${x}^{2} = 100 - 25$

${x}^{2} = 75$

We have the final answer as

<h3>x = 5√3 inches</h3>

Hope this helps you

3 0

2 years ago

Please help me. That's all I ask for.

yarga [219]

Answer:

sorry I'm not in whatever grade your in

3 0

3 years ago

A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

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:

$\mu = 14$