The smallest number by which 192 should be multiplied to make it a perfect cube is

Answers

Answer 1

Answer:

[tex]9[/tex]

Step-by-step explanation:

The prime factorization of [tex]192[/tex] is [tex]2^6 \cdot 3[/tex], and since [tex]2^6[/tex] is already a perfect cube of [tex]4[/tex], we just have to deal with the [tex]3[/tex]. To make it a perfect cube, we have to multiply [tex]3[/tex] three times, and so we have to make it [tex]3 \cdot 3 \cdot 3[/tex], and we already have one three so we just add the other two threes, which equal [tex]3^2=9[/tex].


Related Questions

HELP ME OUT ON THIS ONE ‘

Answers

Answer:

180 degrees rotation

Step-by-step explanation:

you take the. values of the object and multiply by -1 to obtain the values of the image

plz plz will mark bianleast
Reflect point B across the x-axis.

What are the coordinates of point B'?


(2, 2)

(2, –2)

(–2, 2)

(–2, –2)

Answers

Answer:

(2, -2)

Step-by-step explanation:

Go along the x line to under point B (2) and then go up the y line to across form point B (2) then reflect it so (2, -2)

Answer:

(2,-2)

Step-by-step explanation:

when you reflect from b you two down to the x axis and the do it again. you will get your coordinates

What is the solution to this system of linear equations? 2x + 3y = 3 7x – 3y = 24 (2, 7) (3, –21) (3, –1) (9, 0)

Answers

2x +3y=3

7x-3y=24

solve the above equations

2x+3y=3

+7x-3y=24

9x=27

x=27/9

x=3

substitute the value of x in 2x+3y=3

2(3)+3y=3

6+3y=3

3y=3-6

3y=-3

y=-3/3

y=-1

so the solution is

{x=3,y=-1}

Answer:

C : (3, -1)

Step-by-step explanation:

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?

Answers

Answer:

[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Step-by-step explanation:

If a line passing through two points, then the equation of line is

[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that the passing through (1,3) and (-9,-2).  So, equation of line in point slope form is

[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Now,

[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Answer:

The Answer is C

Step-by-step explanation:

i think This is correct

Solve the following equation. Then place the correct number in the box provided. 7x/15-1=22
x=?

Answers

Answer:

44

Step-by-step explanation:

First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:

x/14

7 * (x/14)

eventually you get

(x-22)/2 =0

from there you can solve for 44

Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5

Answers

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

Can someone help me out?

Answers

Answer:

see explanation

Step-by-step explanation:

15

The x- coordinate of E is the same as the vertex F

The y- coordinate of E is the same as the vertex G

E = (b, c )

The x- coordinate of D is the same as vertex G

The y- coordinate of D is the same as vertex F

D = (a, 0 )

16

The x - axis is an axis of symmetry in the rhombus , thus

D is a reflection of B so D = (0, b )

The y- axis is an axis of symmetry in the rhombus, thus

E is a reflection of C so E = (a, 0 )

Which situation results in a final value of zero ?

a. The temperature after a decrease of 5 degrees from a temperature of -5 degrees .

b. The height of an airplane after taking off from ground level and rising 1,000 feet.

c.The amount of money received in change after making a $10 purchase with a $20 bill.

d. The distance above sea level after increasing 24 meters from a depth of 24 meters below sea level.

Answers

Answer:

d

Step-by-step explanation:

because what is 24 meters- 24meters=0

Express 84 as a product of prime factors

Answers

Prime factorization: 84 = 2 x 2 x 3 x 7 which can also be written as 2² x 3 x 7
prime factorisation: 84= 2 x 2 x 3 x 7

Which value for x makes the sentence true?
3/4x + 4 += 7

Answers

answer: 4

explanation: i just know

Could someone help what is the variable in “8y3”?

Answers

Answer:

y

Step-by-step explanation:

The variable in 8y^3 is y because a variable is a number that we don't know yet, and that is the only one.

AB and BC are perpendicular lines find the value of x.
If you know the other please help i, will mark as branliest

Answers

Answer:

X=42

Step-by-step explanation:

AB and BC make a right angle

So, 24°+x+24° =90°

48°+x=90°

X=90°-48°

X=42

______________________________

Answers:

a. 42 degree.

b.i. q=135 degree( being vertically opposite angles)

j=135 degree( being corresponding angles)

b.ii. 225

Step by step explanation:

a. 24+X+24=90[ sum of complementary angles]

or, 48+X=90

or,X= 90-48

X=42 degree

b.i. q=135 degree( being vertically opposite angles)

Vertically angles are always equal to each other.

j=135 degree( being corresponding angles)

Corresponding angles are always equal to each other.

b.ii. p+135=180[ sum of angle in straight line]

or,p= 180-135

p=45 degree.

q= 135 degree[ being vertically opposite angles]

r=p[being vertically opposite angles]

r=45 degree

Now,

p+q+r

= 45+135+45

=225 degree

Hope it helps

Good luck on your assignment

__________________________________

Which system of equations is graphed below? On a coordinate plane, a line goes through (0, 1) and (4, negative 2) and another goes through (0, negative 6) and (6, 0). x minus y = 6. 4 x + 3 y = 1. x minus y = 6. 3 x + 4 y = 4. x + y = 6. 4 x minus 3 y = 3. x + y = 6. 3 x minus 4 y = 4.

Answers

Answer:

The correct option is (B)

(B) x-y = 6 , 3x+4y = 4

Step-by-step explanation:

As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:

Find the values of x and y for (B);

x - y = 6 ⇒ (i)

3x + 4y = 4 ⇒ (ii)

Lets consider equation (i)

x - y = 6

x = 6 + y

Substitute in equation (ii)

3(6+y) + 4y = 4

18 + 3y + 4y = 4

7y = -14

y = -2

Substitute in equation (i)

x - (-2) = 6

x + 2 = 6

x = 6 - 2

x = 4

As solution of part C is also (4, -2), it represents the graph

You can also find the (x, y) for other options the similar way, which will show you they don't have the same value

Answer:

its  B

Step-by-step explanation:

Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)

Answers

Answer:

work is shown and pictured

Answer:

(4x + 5)(4x + 5)

Step-by-step explanation:

Took test.

Want a more in-depth explanation? Try visiting the Math Nation site.

Pls help for the love of yeetus deleteus

Answers

Answer:

C 6 yd by 7 yb

Step-by-step explanation:

Answer: De ansa is A m African sista.

Step-by-step explanation:

The sum of the ages of Jan and George is 65. In 10 years, Jan will be 4 times as old as George.

Set up the system of equations and solve for how old Jan and George are now.

Answers

Answer:

J - Age of Jan

G - Age of George

J + G = 65

J+10 = 4(G+10)

Step-by-step explanation:

what is the value of x?

Answers

Answer:

x = 3 will be the answer.

Step-by-step explanation:

From right triangle ABC,

By applying Sine rule,

Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]

    [tex]\frac{1}{\sqrt{2}}[/tex]  = [tex]\frac{BC}{6\sqrt{2}}[/tex]

BC = 6 units

Now from right triangle BCD,

By applying Cosine rule,

Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]

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

x = [tex]\frac{6}{2}[/tex]

x = 3

In science class, Scott estimates the mass of a sample to be 109 grams. The actual mass of
the sample is 104 grams. Find the percent error of Scott's estimate. Round your answer to
the nearest tenth.

Answers

Answer:

Percent of error = 4.80% (Approx)

Step-by-step explanation:

Given:

Mass of sample = 109 gram

Actual mass of sample = 104 gram

Find:

Percent of error.

Computation:

Error = Mass of sample - Actual mass of sample

Error = 109 gram - 104 gram

Error =5 gram

Percent of error = (Error / Actual mass of sample)100

Percent of error = (5 / 104)100

Percent of error = 4.80% (Approx)

Lucas weighs 78kg. Convert his weight to pounds. Round to the nearest pound.

Answers

Answer:

He weighs 172 pounds

Step-by-step explanation:

you can look up conversions like this on google and it will give you the exact weight and everything!

After converting Lucas's weight of 78 kg is 171.192 pounds

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 km = 1000 m

We have,

78 kg

Now,

1 kg = 2.204 pounds

Multiply 78 on both sides.

78 kg = 78 x 2.204 pounds

78 kg = 171.912 pounds

Thus,

78 kg is 171.912 pounds

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

Angle α is in quadrant III, and angle β is in quadrant II. If sin α = –4∕5 and sin β = 1∕2, find cos (α + β).

Answers

Answer:

cos (α + β) = 0.9196

Step-by-step explanation:

Given sin α = –4∕5 and sin β = 1∕2

To get α from sin α = –4∕5,

α = arcsin(-4/5)

α = arcsin (-0.8)

α = -53.13°

If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)

Similarly for sin β = 1∕2

β = arcsin(1/2)

β = arcsin(0.5)

β = 30°

Since  β is in quadrant II,  β = 180-30 = 150°

To find  cos (α + β). where α = 233.13° and  β = 30°

cos (α + β)= cos (233.13 + 150)

= cos 383.13°

cos (α + β) = 0.9196

Use the distributive property to factor out y.
5y-3y + 12
The new expression becomes
O By+ 12
0-2y+ 12
0 2y+ 12
O 147

Answers

________________________________

5y-3y+12

=2y+12

So the new expression becomes 2y+12

hope it helps

Good luck on your assignment

________________________________

Answer:

2y+12

Step-by-step explanation:

Find the area of the given triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 7.3

Step-by-step explanation:

We're going to use the formula for the area of a triangle:

Area = 1/2 x base x height

We can see that the height of the triangle is 10, but we don't know what the base length is.

We know that one of the angles is 54 °, so we're going to use SOH CAH TOA to work out the length of the base.

We're using the height and the base, which are the opposite (O) and adjacent  (A) sides relative to our angle. According to SOH CAH TOA we'll use tan (T).

The equation is tan(Ф°) = O/A, where Ф is our angle (54°), O is our opposite side (10), and A is our adjacent side. Since we don't know what A is we'll use x.

tan (54°) = 10/x

Multiply both sides of the equation by x.

x tan (54°) = 10

Divide both sides of the equation by tan(54°).

x = 10/tan(54°)

Use your calculator to solve for x.

x = 7.265

To the nearest tenth, x = 7.3

student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 ​centimeters, and the length of the other leg is 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.7 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.

Answers

Answer = 42.8

Step-by-step explanation:

All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle

Determine the value of z. answers: A) 57° B) 53° C) 121° D) 239°

Answers

Answer: a

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

The exterior angle  measurement is equal to the sum of the opposite interior angles

34+ 87 = z

121 = z

What are the zeroes of f(x) = x2 − 6x + 8? (1 point) x = −4, 2 x = −4, −2 x = 4, 2 x = 4, −2

Answers

Answer:

x = 4 , 2

Step-by-step explanation:

x² - 6x + 8=0

(x -2)(x + 4)=0

x= 4,2

Therefore the zeros of f(x) are 4 and 2.

Hope this helps.

Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?

Answers

Answer:

7

Step-by-step explanation:

10-3=7

3. At Windy Pines Summer Camp, there are 255 campers
and 30 counselors. Express the ratio of counselors to
campers as a fraction in simplest form. Explain its
meaning.

Answers

Answer:

15:2; there are 2 counselors to every 15 campers

Step-by-step explanation:

Choose the equation for the graph
below.
x+1
x-2
2x-3
a. y =
b.y =
X-4
3-X
c. y =
x+2
d.y=
e. y =
2x+4
x-1
x+4

Answers

Answer:

B. y=(2x-3)/(x-4)

Step-by-step explanation:

Find the asymptotes.

Vertical Asymptotes:  

x  =  4

Horizontal Asymptotes:  

y  =  2

No Oblique Asymptotes.

The graph.

Identify an equation in point-slope form for the line parallel to y -
passes through (4.-5).
*+ 8 that
O A. y-5--3(x+4
O B. y-t-ix+5)
O C. y+5=(x-4)
O D. y-5--3(x-4)
SUBMIT
Helppp

Answers

I think it’s D but I’m not sure

he center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost

Net games 99$ 8$

Equipment cost mouthy fee

anytime games 19$ 19$


1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.


2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.


3. Use your answers from 1 and 2 to justify which service the community center should purchase.

Answers

Answer:

see below

Step-by-step explanation:

From Netgames

175≥ 99 + 8x

Subtract 99 from each side

175-99 ≥ 99-99 + 8x

76≥  8x

Divide each side by 8

76/8 ≥  8x/8

9.5≥  x

He can get up to 9 months along with the equipment

From Anytime

175≥ 19 + 19x

Subtract 19from each side

175-19 ≥ 19-19 + 19x

156≥  19x

Divide each side by 19

156/19 ≥  19x/19

8.210526316≥  x

He can get up to 8 months along with the equipment

Since he can get more months from Netgames, he should rent from netgames

Answer:

The center should rent from Net games

Step-by-step explanation:

1. Net games:

175 ≥ 99 + 8x

175 - 99 ≥ 8x

76 ≥  8x

9.5 ≥  x

It can rent games for 9 and a half months

2. anytime games:

175 ≥ 19 + 19x

156 ≥  19x

8.2 ≥  x

It can rent games for 8 months

3. Since the center can rent games for a longer period of time with Net games (9.5 months compared to anytime's 8 months), it should rent from there.

Hope this helps, and please mark me brainliest if it does!

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Match the vocabulary term with its meaning Chattel Slavery Indenture Indulgence Dictatorship What happened at the Sand Creek Massacre?A. Apache and Navajo Indians attacked a peaceful town of Mexicansettlers.B. U.S. troops attacked a village of peaceful Cheyenne and ArapahoIndians.C. Cheyenne and Arapaho Indians attacked a group of Apache andNavajo Indians.D. Mexican troops attacked a fort of U.S. soldiers. Please help! Correct answer only, please! Find the following product if possible. Explain if it is not possible. A. B. C. D. Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all their credit card customers. This promotion will be considered a success if more than of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of credit card customers. Click on the datafile logo to reference the data.a. Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national.b. The file Eagle contains the sample data. Develop a point estimate of the population proportion.c. Use = .05 to conduct your hypothesis test. Should Eagle go national with the promotion? In an RC-circuit, a resistance of R=1.0 "Giga Ohms" is connected to an air-filled circular-parallel-plate capacitor of diameter 12.0 mm with a separation distance of 1.0 mm. What is the time constant of the system? Determine the x-intercepts of the following equation.(-x + 5)(-x - 2) = y(-10,0(5,0) and (-2,0)(0,10)(0, -10)(5,0) and (2,0)O(0,5) and (0, -2) HELP ME PLEASE ITS NOT THAT HARD A train travels at a speed of 45 kmph. In 48 minutes, how much distance will it travel? ( with explanation ) If /61 is the longest side length in the triangle, find the value of x that makes the triangle above a right trianganswer in simplest radical form.A. 5B. 6C. 2V15D. 6V10 What is the value of 4 2 ? how many chromosomes does an elephant's egg cell have ? True or False: The Land Law of 1851 caused many Mexican-Americans to lost their land in CalifomiaO TrueFalse what is the dot product of vectors c) work out the value of 3 + 2 d) work out the value of 2 - 3 (06.02 LC)Simplify (3x - 5) - (5x + 1).0-2x + 60-2x - 6O 2x - 6O 2x + 6 A mixture of compounds containing diethylamine, phenol, ammonia, and acetic acid is separated using liquid-liquid extraction as follows: Step 1: Concentrated HCl is added followed by draining the aqueous layer. Step 2: Dilute NaOH is added to the organic layer followed by draining the aqueous layer. Step 3: Concentrated NaOH is added to the organic layer followed by draining the aqueous layer. Which compound would you expect to be extracted into the aqueous layer after the addition of dilute HCl, step 1? Group of answer choices Triangle ABC has a perimeter 22cm AB = 8cm BC =8cm By calculation, deduce whether triangle ABC is a right angle triangle. NEED AN ANSWER ASAP Plane V and Plane J intersect at which of the following? Please help me Simplify 5+(z+2) Maybe try to simplify Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans ofcocktail fruits to make a fruit punch for the Christmas party. Each carton ofjuice is 1 gallon and 3 quarts. Each soda water bottle contains quarts, Thecans of cocktail fruit are 2 pints each. How much (measured in gallons) offruit punch did Josh made?