All categories

3 years ago

Solve for a.

Mathematics

1 answer:

egoroff_w [7]3 years ago

3 0

Answer: $a=\sqrt{\frac{30}{23} }$

Step-by-step explanation:

$23a^2=30$

Divide by 23

$a^2=\frac{30}{23}$

Extract the square root.

$a=\sqrt{\frac{30}{23} }$

You might be interested in

A sample of n = 4 scores is selected from a population with m = 40 with s = 8, and the sample mean is M = 43. What is the standa

vladimir2022 [97]

Standard error (SE)
$se= \frac{s}{ \sqrt{n} }$
Or

$se = \sqrt{ \frac{ {s}^{2} }{n} }$

Therefore, SE of the mean = (8)/(2) =4

5 0

2 years ago

A sequence of 7 numbers starts with 8. The second number in the sequence is unknown and may be positive or negative. The third t

scoray [572]

Answer:

Explanation:

$a_1=8,a_7=0$

Since the third term is the sum of the two previous terms

$a_3=a_2+a_1$

$a_7=a_6+a_5$

$a_7=a_5+a_4+a_4+a_3$

Continuing in like manner

$a_7=5a_3+3a_2$

Since $a_3=a_2+a_1$

$a_7=5(a_2+a_1+3a_2$

$a_7=5a_2+5a_1+3a_2$

$a_7=8a_2+5a_1$

Recall: $a_1=8,a_7=0$

$0=8a_2+5*8$

$8a_2=-40$

$a_2=-5$

The sequence is therefore:

8,-5,3,-2,1,-1,0

The sum of the seven numbers is 4.

8 0

3 years ago

How many 3/4 cup servings are in 12 cups of cherries?

AveGali [126]

Answer:

16 serving.

Step-by-step explanation:

Given: 3/4 cup servings.

Now, computing the number of serving in 12 cups of cherries.

Using unitary method to solve.

∴ Number of serving= $total\ cups \times number\ of\ serving\ per\ cup$

Number of serving in one cup is $\frac{4}{3}$

Number of serving in 12 cups = $12\times \frac{4}{3} = 16 \ serving$

Number of serving in 12 cups= $16\ serving$

∴ There are 16 serving is possible in 12 cups of cherries.

8 0

2 years ago

If a town with a population of 10,000 doubles every 14 years, what will the population be in 42 years and is it modeled by a lin

madreJ [45]

This is an exponential function.
The starting population is: 10,000 and it doubles every 14 years.
In 42 years ( 42 : 14 = 3 ) the population doubles 3 times.
The equation ( exponential ) is :
y = 10,000 * 2^n
In this case: n = 3
y = 10,000 * 2 ^3 = 10,000 * 8 = 80,000
Answer: In 42 years the population of this town will be 80,000.

5 0

2 years ago

Read 2 more answers

A snail traveled 3 over 8, of an inch in 3 minutes. How many inches can the snail travel in 9 minutes? Express the answer as a d

Elanso [62]

So, first of all, let's convert the fraction $\frac{3}{8}$ into a decimal, which would be 0.375 (3 divided by 8)

The snail travels this far in 3 minutes. To find out how far it travels in nine minutes, we have to find out how many times 3 goes into 9.

9 / 3 = 3

Now. we simply multiply our decimal by three in order to get our answer!

0.375 x 3 = 1.125 inches

The answer is 1.125 inches!

3 0

3 years ago