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3241004551 [841]
4 years ago
9

Simplify sqrt of 4x^6

Mathematics
1 answer:
In-s [12.5K]4 years ago
4 0

Answer:

4x^6 = sqroot(4) *  sqroot(x^2) * sqroot(x^2) * sqroot(x^2)

= 2 * x * x * x  = 2x^3

Step-by-step explanation:

You might be interested in
What is the future value of the loan in the previous problem if the interest is compounded
GenaCL600 [577]

Answer:Your calculator should now display a screen with these variables. I have written what each

variable stands for next to the variable. You calculator likely has numbers next to some of the

variables. This is okay. We will type over them when we need to solve a specific loan problem.

N Number of payments

I% Annual interest rate

PV Loan amount (Normally

entered as a POSITIVE

number in loan problems.)

PMT Monthly payment amount

(Usually entered as a

NEGATIVE number in loan

problems.)

FV Balance when loan is paid

off. (Usually 0 in a loan

problem.)

P/Y Number of payments per

year. (Usually 12 in a loan

problem.)

C/Y How often interest is

charged. (Usually 12 in a

loan problem)

Begin / End Choose Begin if you make a

loan payment the day you

take your loan. Otherwise

choose End. We will always

leave this on END.

Example: A new car is purchased and a $25,000 loan is taken. The loan is for 6 years (72

months) and the interest rate is 4.9% compounded monthly. What is the monthly payment?

Calculator steps: Hit APPS button then select Finance then select TVM solver.

We will solve most of the problems in this chapter from this screen. We need to know what

each variable represents. We will enter values for every variable except for the one we are

solving for. We are computing a monthly payment. We will put values in for every variable,

except (PMT). PMT stands for the payment.

Enter these values on your calculator.

N (number of payments) 72

I% (annual interest rate) 4.9

PV (Loan amount, make

this amount positive.)

25000

PMT Move cursor here and hit

green alpha button then

enter after you have entered

every other value.

FV (what you owe after

make all payments)

0

P/Y (payments per year) 12

C/Y (how often interest is

paid)

12

Begin / End

(We will always leave this

on end.)

End

Once you have entered all of the amounts scroll up to PMT. Make sure your cursor is flashing

next to PMT. It doesn’t matter what value is in the PMT. Your calculator will put in the correct

payment when you tell it to compute the payment. Hit the green ALPHA button the ENTER.

Answer: $401.46

Step-by-step explanation:

3 0
4 years ago
A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches.
Svetllana [295]

Answer:

The perimeter of the plaque is 28 inches.

Step-by-step explanation:

Given : A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches. The perpendicular distance from a side to the center is 5 inches to the nearest inch.

To find : What is the perimeter of the plaque?

Solution :

The 7-sided polygon can be divided into seven triangles whose height, h is equal to the perpendicular distance from each side to the center.

The base of each triangle is equal to the length of a side, s.

The area of each triangle is A=\frac{1}{2}\times s\times h

The area of the whole polygon is A_p=\frac{1}{2}\times 7s\times h

Now, the perimeter of a regular 7-sided polygon is P=7s.

Substitute in area,

A_p=\frac{1}{2}\times P\times h

We have given, A_p=70\ in^2 and h=5\ in

70=\frac{1}{2}\times P\times 5

P=\frac{70\times 2}{5}

P=28

The perimeter of the plaque is 28 inches.

3 0
4 years ago
Dr dylan collects 2 hailstones during a storm. one hailstone weighs 2 3/8 pounds and the other hailstone weighs 1 3/10 pounds. h
kap26 [50]

Answer:

1  3/40 pounds

Step-by-step explanation:

difference in weight

= 2 3/8- 1 3/10

= 19/8-13/10

=(19*5 -13*4)/40

=95-52/40

=43/40

=1  3/40 pounds

8 0
3 years ago
Read 2 more answers
Solve equation 3x=2x+5
dem82 [27]

Answer:

x=5

Step-by-step explanation:

So first you would subtract 2x from both sides to get:

1x = 5

Then you divide both sides by 1:

x = 5

4 0
4 years ago
Read 2 more answers
A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken
mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

X=1 number of citrus trees that are infected with the citrus red mite.

n=5 random sample taken

\hat p=\frac{1}{5}=0.2 estimated proportion of citrus trees that are infected with the citrus red mite.

p true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values would be given by:

t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56  

And rounded up we have that n=6147

5 0
4 years ago
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