The question says “write with prime number base” and the question is 8 square root 32 (7,d)

The Question Says Write With Prime Number Base And The Question Is 8 Square Root 32 (7,d)

Answers

Answer 1

Answer:

[tex]2^{\frac{11}{2}}[/tex].

Step-by-step explanation:

We need to write the given expression with prime number base.

In question 7, part d.

The given expression is

[tex]8\sqrt{32}[/tex]

It can be rewritten as

[tex]2^3\sqrt{2^5}[/tex]

Using properties of exponents , we get

[tex]2^3(2^5)^{\frac{1}{2}}[/tex]

[tex]2^3(2^{\frac{5}{2}})[/tex]    [tex][\because \sqrt[n]{x}=x^{\frac{1]{n}}][/tex]

[tex]2^{3+\frac{5}{2}}[/tex]    [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]2^{\frac{6+5}{2}}[/tex]    [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]2^{\frac{11}{2}}[/tex]

Here, base is 2 and it is prime number.

Therefore, the required expression is [tex]2^{\frac{11}{2}}[/tex].


Related Questions

Helppp plzz!! Will mark you as brainliest!! A bakery sells gourmet cake pops. Each pop is composed of a spherical ball of cake atop a paper lollipop stick. A jumbo cake pop has a diameter of 6 cm. What is the volume of cake in a spherical ball of cake baked for a jumbo cake pop?

A. 12cm3

B. 27cm3

C. 36cm3

D. 288cm3

Answers

Answer:

C

There you go

The volume of the spherical shaped jumbo cake pop is: 113.1 cm³

What is the Volume of a Sphere?

Volume of sphere = 4/3 πr³, where r is half of the diameter of the sphere.

Given the following:

Diameter of the spherical ball of cake = 6 cm

Radius (r) = 1/2(6) = 3 cm.

Volume of spherical shaped cake = 4/3 π(3³)

Volume of spherical shaped cake = 113.1 cm³

Learn more about volume of sphere on:

https://brainly.com/question/22807400

CAN SOMEONE PLEASE HELP ME WITH THESE 4 QUESTIONS!!! ITS IMPORTANT I WILL MARK YOU AS BRAINLIEST IF YOU GET THEM RIGHT! PLEAEEESEEE

Answers

Answer:

1) x=5

2)x=8

3)x=4

4)x=5/2

Step-by-step explanation:

2x=10

x=5

1/2x=4

x=8

x+3=7

x=4

-14x+14=-21

-14x=-35

14x=35

x=5/2

Answer:

The final answers:

1) [tex]x = 5[/tex]

2) [tex]x = 8[/tex]

3) [tex]x = 4[/tex]

4) [tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

-Calculations for every question:

1) [tex]2x - 4 = 6[/tex]

[tex]2x - 4 + 4 = 6 + 4[/tex]

[tex]2x = 10[/tex]

[tex]\frac{2x}{2} = \frac{10}{2}[/tex]

[tex]x = 5[/tex]

2) [tex]\frac{1}{2}x + 6 = 10[/tex]

[tex]\frac{1}{2}x + 6 - 6 = 10 - 6[/tex]

[tex]\frac{1}{2}x = 4[/tex]

[tex]x = 4 \times 2[/tex]

[tex]x = 8[/tex]

3) [tex]3x + 3 = 2x + 7[/tex]

[tex]3x + 3 - 2x =2x - 2x + 7[/tex]

[tex]x + 3 = 7[/tex]

[tex]x = 7 - 3[/tex]

[tex]x = 4[/tex]

4) [tex]-7x + 14 = 7x - 21[/tex]

[tex]-7x + 14 -7x = 7x - 7x - 21[/tex]

[tex]-14x + 14 = -21[/tex]

[tex]14x + 14 - 14 = -21 - 14[/tex]

[tex]-14x = -35[/tex]

[tex]\frac{-14x}{-14} = \frac{-35}{-14}[/tex]

[tex]x = \frac{5}{2}[/tex]

Which is true of a circle?

The radius of circle is sometimes longer than the diameter of a circle.

Each circle has only one diameter.

Any two points on the circumference of the circle are the same distance from the center of the circle.

Any two chords of a circle are the same length.

Answers

Answer:

Any two points on the circumference of the circle are the same distance from the center of the circle.

Step-by-step explanation:

Any two points on the circumference of the circle are the same distance from the center of the circle.

plz help me it's due today

Answers

Answer:

I can't see the half of the question before city

Step-by-step explanation:

Then i woul dbe able to help u

On the diagram i need to fond the following measures of angles. Please help quickly!

Answers

Answer:

62° and 54°

Step-by-step explanation:

The exterior angle of a triangle is equal to the 2 opposite interior angles.

116° is an exterior angle of the triangle, thus

2x + 4 + 3x - 13 = 116, that is

5x - 9 = 116 ( add 9 to both sides )

5x = 125 ( divide both sides by 5 )

x = 25

Thus

∠ A = 3x - 13 = 3(25) - 13 = 75 - 13 = 62°

∠ B = 2x + 4 = 2(25) + 4 = 50 + 4 = 54°

NEED ASAP will mark brainliest

Answers

Answer: x = 12, y = [tex]12\sqrt{3}[/tex]

Step-by-step explanation:

A 30-60-90 triangle has sides whose lengths are related. (shown in the diagram attached) The longest side, the hypotenuse (opposite the right angle) represents 2x. The shortest side is x, and the last side is [tex]x\sqrt{3}[/tex].

We know the longest side = 24 = 2x.

If the shortest side is x, that means that the shortest side = the longest side DIVIDED by 2. Therefore, shortest side = x = 24/2 = 12 .

The last side is y and equals x\sqrt{3} . We now know that x = 12. Hence, y = [tex]12\sqrt{3}[/tex].

How is the measure of an arc related to its central angle?

Answers

Answer:

Arc Measure: In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc. Arc Length: In a circle, the length of an arc is a portion of the circumference. The letter "s" is used to represent arc length.

Step-by-step explanation:

Find the surface area of the prism below. Show all of your work clearly.

Answers

Answer:

Area of Figure; 70 cubic feet

Step-by-step explanation:

See attachment below;

What is the largest car engine in the world?
A: What is the full name of the car?
B. What is the size of the engine in liters?
C. How many cylinders does it have?
WILL GIVE 100 POINTS TO WHOEVER ANSWERS THE QUICKEST

Answers

The Largest Current Production Car Engine. Congratulations Chrysler! Nobody else is crazy enough to put a 8.4-liter V10 into a production vehicle, but you've done it again. Naturally, General Motors comes to the rescue if you need even more, with the Chevrolet "572" 9.2 V8 crate engine.

Answer:

Congratulations Chrysler!

Step-by-step explanation:

Give the coordinator of the point where each line crosses the y-axis y=1/2x
y=2-x​

Answers

Step-by-step explanation:

To find the y-intercept, you need to set the x-value to 0.

Step 1:  Find the y-int for the first equation

[tex]y = \frac{1}{2}x[/tex]

[tex]y = \frac{1}{2}(0)[/tex]

[tex]y = 0[/tex] ← y-int for first equation

Step 2:  Find the y-int for the second equation

[tex]y = 2 - x[/tex]

[tex]y = 2 - (0)[/tex]

[tex]y = 2[/tex] ← y-int for second equation

Renée has 24 colored pencils and 6 bags. She puts the same number of pencils in each bag with none remaini
How many pencils does Renée put in each bag?
OA. 3
B. 4
O c. 6
D. 12
E. 24​

Answers

Answer:

B. 4

Step-by-step explanation:

divide 24 by 6 and you get 4!

                or

6 12 18 24

1   2   3   4

PLEASE HELP ! what is the grand total ?

Answers

Answer:

my answer is

5x^4-2

and i am not sure of the answer

A water pump takes 70 minutes to fill a tank. A larger pump can fill the same tank in 30 minutes.
How long will it take to fill the tank if both pumps are used?

A. 15 minutes
B. 21 minutes
C. 40 minutes
D. 50 minutes

Answers

Answer:

21 minutes Option B

Step-by-step explanation:

1 min

Small --> 1/70

Big --> 1/30

Together --> 1/70 + 1/30 = 3/210 + 7/210 = 10/210 = 1/21

1 divided by 1/21 = 21

Thus, it's 21 minutes (B)

Answer:

40 minutes

Step-by-step explanation:

70 minutes - 30 minutes

What is the perimeter of this rectangle

Answers

Answer:

36 m

Step-by-step explanation:

15 + 15 + 3 + 3 = 36

Perimeter is the total length of the outside of the figure.

Answer: 36

Step-by-step explanation:

15+15+3+3=36

Two friends share

1/5 of a large peach pie. What fraction of the whole pie does each friend get? Let represent the fraction of the whole pie each friend gets.

Enter an equation as a multiplication equation.

The equation is n =.

Each friend gets off a whole pie.

Answers

Answer:

1/10

Step-by-step explanation:

1/5÷2/1=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

1/5×1/2=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×1 /5×2=1/10

This fraction cannot be reduced.

Therefore:

1/5×1/2=1/10

Please help! Will give brainliest, thanks and more points.

Look at the picture.

Answers

Answer:

142 sq cm

Step-by-step explanation:

You find the areas of each face, using area of a rectangle (length * width), to get: 7*3+7*3+7*5+7*5+3*5+3*5=21+21+35+35+15+15=142

Answer:

142 sq cm

Step-by-step explanation:

plssss helpppp because this is kinda hard for me

Answers

Answer:

the answer is NO! The cost of parking is not proportional.

Step-by-step explanation:

heres why! the points lie on the same line. thus there is no change in the values, so the cost stays the same!

3) The sum of two numbers is 20. Their
difference is -2. What are the two numbers?

Answers

Answer: 9, 11 (or for the picture 48 and 52)

Step-by-step explanation:

The sum of two numbers (x, y) is 20;

x+y=20

One is 2 greater than than the other;

y=x+2

Now, we can put that in for y;

x+(x+2)=20

And solve;

2x+2=20

2x=18

x=9

Now, substitute in the value of x into the second equation;

y=9+2

And we get our answer.

y=11

My explanations are bad :(

Which relation describes the graph?

Answers

Answer:

A.

Step-by-step explanation:

idk how to explain it. all you need to do is look at the graph..... every point is (x,y). x is where it is horizontally and y is vertically

-12=x/13 what is x? I need help

Answers

The answer is -12* 13 = -156

Answer:

x=-156

Step-by-step explanation:

[tex] - 12 = \frac{x}{13 } \\ cross \: multiply \\ - 12 \times 13 = x \\ multiply \: \\ - 156 = x \\ x = - 156[/tex]

What is the measure of angle DAE?

Answers

Answer:

DAE=134-89=45

Step-by-step explanation:

SINCE BAF and CAE are opposite angles they are equal so

BAF=CAD+DAE

134=89+DAE

DAE=134-89=45

The measure of angle DAE is 45 degrees.

What is vertically opposite angle?

when two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

According to the given question

m∠BAF = 134 degrees

and, m∠CAD = 89 degrees

Since, ∠CAE and ∠BAF are vertically opposite angles.

Therefore, m∠CAE = m∠BAF = 134 degrees

Now,

m∠CAE = m∠CAD + m∠DAE

⇒ m∠BAF = 89 + m∠DAE

⇒ 134 = 89 + m∠DAE

⇒ m∠DAE = 134 - 89

m∠DAE = 45 degrees

Hence, the measure of angle DAE is 45 degrees.

Learn more about the vertically opposite angles here:

https://brainly.com/question/18045519

#SPJ2

answers for all of them

Answers

Answer:

no idea

Step-by-step explanation:

Answer:

p(4)=# of 4's/# of sides p(b)= # of B's\# of sections

Autumn surveyed 500 of the students in her school about their favorite color. 25 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?

Answers

Answer:

.05%

Step-by-step explanation:

Answer:.05

Step-by-step explanation:

Does the equation below represent a
direct proportion? If yes, identify
the constant of proportionality.
3x + 4 =y
A. No
B. Yes, 4
C. Yes, 3
D. Yes, x

Answers

Answer:

Step-by-step explanation:

yes,4

Answer: A. No

Step-by-step explanation:

3x+4=y why is it no? Because if it has addition or subtraction in the equation then it does not have a constant of proportionality. If it is multiplication or division then it has a constant of proportionality.

Hope it helps!

Which group of numbers is in order from smallest to largest? 0.34, 45%, , 0.8, 75% 27%, , 0.09 0.24, 37%,

Answers

Answer:

0.09 0.24 27% 0.34 37% 45% 75% 0.8

Answer:

0.34, 45%, , 0.8

Step-by-step explanation:

hope this helps!

~mina

Need help with this pls
(Show work pls)

Answers

Answer:

6 hours

Step-by-step explanation:

6.50 - 2.00 = 4.50

4.50 ÷ 0.75 = 6

Answer:6 hours

Step-by-step explanation:

6.50 - 2.00 = 4.50

4.50 ÷ 0.75 = 6

Hoped this helped!

Which is the parametric form of the polar equation r=-4 theta?
A. x=-4 cos theta, y=-4 sin theta
B. x=-4 theta cos theta, y=-4 theta sin theta
C. x=-theta cos theta, y=-theta cos theta

Answers

Answer: Option B.

Step-by-step explanation:

we have that r = 4*θ

(you writted a negative equation, but we can never have a negative radius)

We also have that:

r = √(x^2 + y^2) = 4*θ

We can use the relationship cos(x)^2 + sin(x)^2 = 1

and write X = A*cos(θ) and Y = A*sin(θ)

and now we have:

r = √( (A*cos(θ))^2 + (A*sin(θ))^2) = √(A)^2 = 4*θ

So the correct option is:

x = 4*θ*cos(θ) or -4*θ*cos(θ)

y = 4*θ*sin(θ) or  -4*θ*cos(θ)

(We can have the positive or negative options because we are squaring the term, so the sign does not matter)

The correct option then is B

Answer:

C) x = -4θcosθ and y = -4θsinθ

Step-by-step explanation:

Other person was wrong.



Themba has 6.75 cups of yogurt and needs to make 5 bowls of fruit dip. Each bowl
uses 1.5 cups of yogurt. Complete the statement about the fruit dip.

Themba needs a total of____
cups of yogurt to make 5 bowls of fruit dip, so ___
cup(s) will be____​

Answers

Answer:7.5 cups of yogurt to make 5 bowls of fruit dip.

Step-by-step explanation:

Answer:

Themba needs a total of_7.5___

cups of yogurt to make 5 bowls of fruit dip, so _0.75__

cup(s) will be__needed__​

Step-by-step explanation:

What is y=2(x+3)^2 -4 in standard form

Answers

here hope this helps :)

Answer:

[tex]y=2x^2+12x+14[/tex]

Step-by-step explanation:

[tex]y=2(x+3)^2 -4[/tex]

[tex]y=2(x^2+6x+9) -4[/tex]

[tex]y=2x^2+12x+18-4[/tex]

[tex]y=2x^2+12x+14[/tex]

Will mark brainliest to first answer!!!

Answers

Answer:

The answer is D

Step-by-step explanation:

you just need to add the minutes to 6:00 a.m. and find where they become equal and that is 8:30 a.m.

Answer:

So the Answer would be c

Step-by-step explanation:

Ok so we know that if bus A takes a 75 minute route

and bus B takes a 15 minute route.

So now we have to add the two numbers

75+15= 1 hour and 30 minutes

add that to 6:00 and you got 7:30!

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