Match each expression with the equivalent expanded expression

Answer:

2x [tex]\sqrt[3]{2x}[/tex] - [tex]\sqrt[3]{2x}[/tex]

Step-by-step explanation:

you can take the cubed root of [tex]\sqrt{16x^4}[/tex] and make it become the cubed root of ∛(2)³ · 2 · x³ · x   which would equal 2x· ∛2x

I don't believe 2x· ∛2x - ∛2x can be simplified

Answer:

4

Step-by-step explanation:

subtract negative 4 by negative 8

Answer:

1742 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single light:

Mean of 1700 hours and standard deviation of 400 hours, which means that [tex]\mu = 1700, \sigma = 400[/tex]

Sample of 64:

This means that [tex]n = 64, s = \frac{400}{\sqrt{64}} = 50[/tex]

The probability is 0.20 that the sample mean lifetime is more than how many hours?

This is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]0.84 = \frac{X - 1700}{50}[/tex]

[tex]X - 1700 = 50*0.84[/tex]

[tex]X = 1700 + 50*0.84[/tex]

[tex]X = 1742[/tex]

x<=4

x is less than or equal to four

children less than or equal to four can ride the train for free

Answer:

16.97056275

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

V = l x w x h

=7/2 x 4/3 x 3/2

=84/12

=7 feet cubed

Answer:

5z+30

Step-by-step explanation:

5(z+6)

^ multiply each term in the parentheses by 5

5z+5x6

then,

5z+5x6 (multiply the numbers)

the answer will be 5z+30

Answer:

-3

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Answer:

C= 1

Step-by-step explanation:

Answer: C=1

Step-by-step explanation:

Answer: it's b on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Each circle represents : [tex]\frac{3}{5}[/tex] and 5 circles

5 * [tex]\frac{3}{5}[/tex]

Answer

Step-by-step explanation:

is Each circle represents : 3/2 and 5 circles

Answer:

The difference between the greatest and smallest rational number   [tex]=\frac{3}{20}[/tex]              

Step-by-step explanation:

Step(i):-

Given that the rational numbers

[tex]\frac{7}{15} , \frac{11}{20} ,\frac{2}{5} ,\frac{12}{25}[/tex]

we have to find that the difference between the greatest and the smallest rational numbers

solution:-

The greatest rational number  =  [tex]\frac{11}{20}[/tex]

Convert into decimal = 0.55

The smallest rational number = [tex]\frac{2}{5}[/tex]

Convert into decimal = 0.4

The difference between the greatest and smallest rational number

                     [tex]= \frac{11}{20} - \frac{2}{5}[/tex]

                     = [tex]\frac{11-8}{20}[/tex]

                    [tex]=\frac{3}{20}[/tex]

Final answer:-

The difference between the greatest and smallest rational number     [tex]=\frac{3}{20}[/tex]

Answer: D. 15 square root with 3 inside

Step-by-step explanation:

Just try it

Answer:

c

Step-by-step explanation:

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

answer is x =-8

hope that helps^^

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,

a+b=8

The product of the two numbers is,

ab=17

b=17/a

now, the equation can be written as,

a+b=8

a+(17/a)=8

a² + 17 = 8a

a²-8a+17=0

a = 4±i

Hence, the two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

#SPJ2

Answer:

3.75

Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

15/4 = 3.75

The answer is rounded to the nearest four decimal points if necessary.

15/4 is an improper fraction and should be written as 3 3/4.

Answer:

3.75

Step-by-step explanation:

Answer:

I'm pretty sure it's 400w+5=s

Step-by-step explanation:

400w because thats how much he earns each week +5 because that's how much he added =s which equals the total cost in his savings

Answer:

[tex]y = - \frac{4}{5} x + 3[/tex]

Step-by-step explanation:

[tex]b = 3[/tex]

[tex] - 2 = 4a + 3[/tex]

[tex]a = - \frac{4}{5} [/tex]

Answer:

30

Step-by-step explanation:

cause i said so

Step-by-step explanation:

3+a=4-b

4+b=7+a

a=1-b

4+b=7+1-b

2b=4

b=2

a=1-2= -1

3-a= 3- -1= 3+1=4

3-a=4

Answer:

The answer is 4.

Step-by-step explanation:

First, you have to form simultaneous equations :

[tex]3 + a = 4 - b[/tex]

[tex]a + b = 1 - - - (1)[/tex]

[tex]4 + b = 7 + a[/tex]

[tex]a - b = - 3 - - - (2)[/tex]

Next, you have to solve it :

[tex](1) - (2)[/tex]

[tex]a + b - (a - b) = 1 - ( - 3)[/tex]

[tex]2b = 4[/tex]

[tex]b = 2[/tex]

[tex]sub \: \: b \: = 2 \: \: into \: \: (1)[/tex]

[tex]a + 2 = 1[/tex]

[tex]a = 1 - 2[/tex]

[tex]a = - 1[/tex]

Lastly, you have to substitute a-value into the expression :

[tex]3 - a = 3 - ( - 1) = 4[/tex]

Answer:

3 out of 15 I believe is the answer

Step-by-step explanation:

there are 3 blue marbles so he already has a chance out of 3, then I believe you add them all together which is 15 :) hope this helps

Answer:

find t when

25 + 12t - 5t^2 = 3

using g=10 (easier than using 9.81)

Answer:

19%

Step-by-step explanation:

Answer:-(3-4i) and -(6+7i)

Step-by-step explanation: To find the complex conjugate, negate the term with i.

Answer:

1.268 cups

Step-by-step explanation:

60 G=0.2536 cups  (I found a G to cup converter on the internet)

0.2536x5=1.268 cups of paint it would mix with at a 1 to 5 ratio

Answer:

Image attached

Step-by-step explanation:

Just wandering, no hate, you can post answers on brainly but can't read an analog clock.

BTW I've got one in my house

Answer:

this is clear that answer