Alexis bought a pyramid-like paperweight for her teacher. The paperweight has a volume of 200 cm3 and a density of 1.5 grams per cubic centimeter.
What formula you would you use to find the density of the paperweight?
How much does the paperweight weigh?

Answer:

V1  = Base x Height = 43 x 15 = 645 (mm3)

V2 = Base x Height = 12 x 7 = 84 (mm3)

Hope this helps!

:)

Answer:

1) 645 mm³

2) 84 cm³

Step-by-step explanation:

Volume of prism:

Base area × height

1) 43 × 15 = 645 mm³

2) 12 × 7 = 84 cm³

Answer:

juice wrld

Step-by-step explanation:

fast

Answer:

yuh

Step-by-step explanation:

Answer:

w = (-3/2)u + 2

Step-by-step explanation:

Since we don't know the value of u, we can only solve -12u+13=8w-3 for w in terms of u.

Adding 3 to both sides, we get -12u+13=8w-3 => -12u+16=8w, or

8w = -12u + 16

Reduce this by dividing all three terms by 8:

w = (-12/8)u + 2

... and then reduce the fraction:      w = (-3/2)u + 2

Answer:

Anything more than 89.8 miles

Step-by-step explanation:

Since Hertz charges $108/week, divide that by 7 so you have the daily rate.

Which is $15.43. Then set 28 = 15.43 + .14x. Subtract 15.43 from both sides.

12.57 = .14x Then divide both sides by .14  x = 89.8 miles is the break even point, so anything over that is when the Avis price would be less and anything under that is when the Hertz price is less.

Answer:

C

Step-by-step explanation:

I’m rusty with my math, so I’m not 100% sure this is correct. My best attempt.

(1,-5) & (3,-17)

1=1x, -5=1y, 3=2x, -17=2y

Formula is y2-y1/x2-x1

-17 - -5 = -12

3 - 1 =2

So -12/2 = -6

Formula for the line is

y-y1 = m (x-x1)

In this equation m=-6

Y - -5 = -6 ( x - 1 )

Answer:C

Step-by-step explanation:

Answer:

C. 1:27

Step-by-step explanation:

a²/b²=1/9 => a=1 and b=3

a³/b³=1³/3³=1/27

C. 1:27

I agree with the other answer. Here's another way to see why the answer is 1:27

The surface areas are in ratio 1:9. This means we could have one square that has area 1 and the larger square is area 9.

The smaller square has sides of 1 and the larger square has sides of 3 (square root both area values).

Now if we had a cube that has dimensions of 1 unit, then the volume is 1*1*1 = 1 cubic unit. If we had a larger cube with dimensions of 3 units, then the volume is 3^3 = 3*3*3 = 27 cubic units. We can fit 27 smaller 1x1x1 cubes into the larger 3x3x3 cube.

Answer:nth term=a1 - 27n + 27

Step-by-step explanation:

first term =a1

common difference=d=-1-21

d=-27

Using the formula

Tn=a1 + d x (n-1)

nth term=a1 + (-27)(n-1)

nth term=a1 - 27n + 27

Answer:

The mean is 15

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of numbers

(23+13+17+11+11)/ 5

75 /5

15

Answer:

13 books.

Step-by-step explanation:

If 100-8 equals 92 divided by 7 equals 13 rounded. That is the # of books.

PLZ MARK BRAINLIEST!!!

Answer:

13 books

Step-by-step explanation:

7b+8 < 100

Subtract 8 from each side

7b+8-8 < 100-8

7b< 92

Divide each side by 7

7b/7 < 92/7

b< 13 1/7

Since we cannot buy part of a book, Brian can buy 13 books without overspending

Answer:

DUEDY A. 32 degrees

Step-by-step explanation:

PATROLLING WEE WOOO

Xd

Answer:

55  125

Step-by-step explanation:

Let the smaller angle = x

Let the larger angle = x + 70

They are supplementary so the total of the two angles, by definition must be 180 degrees. Note that you should understand that any number of angles can but supplementary as long as they all add up to 180 degrees.

x + x + 70 = 180

2x + 70 = 180

2x + 70 - 70 = 180 - 70

2x = 110

2x/2 = 110/2

x = 55

the smaller angle = 55 degrees

The larger angle = 55 + 70 = 125

The calculation is not reasonable, because 0.45 is less tha 1/2 ( 0.50) and what he has for an answer is half the distance ( 250.17 is 1/2 of 500.34).

To find actual mileage, multiply by 0.45:

500.34 x 0.45 = 225.153 miles.

Round the answer as needed.

Answer:

B

Step-by-step explanation:

The total surface area of a cubical lunch box having each edge as 10 cm is 600 square centimeter. Therefore, option A is the correct answer.

The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.

Given that, the cubical lunch box having each edge as 10 cm.

Here, surface area = 6×10²

= 600 square centimeter

Therefore, option A is the correct answer.

Learn more about the surface area of a cube here:

brainly.com/question/23273671.

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Answer:

y-2=1/2(x+7)

Step-by-step explanation:

Point slope form:

y − y1 = m(x − x1)

We have the coordinate (-7, 2) and slope aka m (1/2)

y-2=1/2(x+7)

Hope this helps! Please mark brainliest :)

Answer:

  (x, y) = (-4, -15)

Step-by-step explanation:

Perhaps you want the solution to ...

  y = 3/4x -12

  y = -4x -31

Equating the two expressions for y gives ...

  3/4x -12 = -4x -31

  3/4x = -4x -19 . . . . . add 12

  3x = -16x -76 . . . . . multiply by 4

  19x = -76 . . . . . . . . . add 16x

  x = -76/19 = -4 . . . . divide by 19

  y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y

The solution to this system of equations is ...

  (x, y) = (-4, -15)

Answer:

the 2nd one

i am pretty sure

Step-by-step explanation:

Answer:

V =108 ft^3

Step-by-step explanation:

The volume is found by

V = Bh  where B is the area of the base

B = the area of the trapezoid

B = 1/2 (b1+b2)*h of the trapezoid

B = 1/2(4+6)*4 = 1/2(10)*4 = 20

Now we can find the volume

V = 20* 9

V =108 ft^3

Answer: 3x^4+7x^3+7x^2+11x+4

Step-by-step explanation:

(x^2+3x+4)(3x^2-2x+1)

3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4

Collect like terms

3x^4-2x^3+9x^3+x^2-6x^2+12x^2+3x+8x+4

3x^4+7x^3+7x^2+11x+4

Answer:

To multiply (x^2 + 3x + 4) and (3x^2 - 2x + 1), we need to distribute each term of the first polynomial to every term in the second polynomial:

(x^2 + 3x + 4)(3x^2 - 2x + 1)

= x^2 * (3x^2 - 2x + 1) + 3x * (3x^2 - 2x + 1) + 4 * (3x^2 - 2x + 1)

Now, let's simplify each term:

= 3x^4 - 2x^3 + x^2 + 9x^3 - 6x^2 + 3x + 12x^2 - 8x + 4

Combining like terms:

= 3x^4 + (-2x^3 + 9x^3) + (x^2 - 6x^2 + 12x^2) + (3x - 8x) + 4

= 3x^4 + 7x^3 + 7x^2 - 5x + 4

So, the product of (x^2 + 3x + 4) and (3x^2 - 2x + 1) is 3x^4 + 7x^3 + 7x^2 - 5x + 4.

Therefore, the correct answer is option C: 3x^4 + 7x^3 + 7x^2 - 5x + 4.

Answer:

0

Step-by-step explanation:

they are on the bed

The total legs on the floor excluding chicken is 50 legs

From the given question, the following animals have 4 legs

dogs, cats, girraffe and cows

Duck and chickens both have 2 legs

The total number of legs on the floor = 4(2) + 4(4) + 1(4) + 5(4) + 1(2)

Total number. = 8 + 20 + 22
Total number = 50legs

Hence the total legs on the floor excluding chicken is 50 legs

Learn more on word problems here:

https://brainly.com/question/13818690

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Answer:

9

Step-by-step explanation:

Not sure if it is right, don't at me :)

Answer:

100

Step-by-step explanation:

10 times 10=100

Answer: 100

Step-by-step explanation: The 2 in this problem means that we are going to multiply 10 twice in order to find the answer.

When we multiply a number by itself, it's called squaring.

So any number squared is that number times itself.

So 10² is just 10 · 10 or 100.

Answer:

b, d

Step-by-step explanation:

finished the exam review and was correct (sorry for the late response)

The gap would be filled in the prism shown below as 12 blocks each measuring One-fourth times 1 x 1. 6 blocks each measuring One-half times 1 x 1.

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is the same as its base, then its volume is:

[tex]V = B \times h[/tex]

where h is the height of that prism and B is the area of the base of that prism.

The block has a volume of 2 x 5/2.

The remaining part of the block is filled by

12 blocks each measuring One-fourth times 1 x 1.

6 blocks each measuring One-half times 1 x 1.

Learn more about the volume of a prism here:

https://brainly.com/question/4113799

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Answer:

9 meters every second

Step-by-step explanation:

45/5=9

5/5=1

9:1

Answer:

k=5

Step-by-step explanation:

10÷2=5

20÷4=5

and so on

Answer:

The right answer should be 6

Step-by-step explanation:

Answer:

  -5

Step-by-step explanation:

If the second equation is multiplied by 4, the coefficient of the x-variable will be 5·4 = 20. To eliminate the x-variable by addition, the first equation needs to be multiplied by a value that will result in an x-coefficient of -20. If that value is k, then we have ...

  4k = -20

  k = -20/4 = -5

The first equation should be multiplied by -5 to eliminate the x-variable by addition.

_____

Comment on general case

In general, if you have ...

  ax +by = c

  dx +ey = f

to eliminate the x-variable by addition, you can multiply the second equation by "a" and the first equation by "-d". In the problem above, those numbers are 4 and -5.

Answer:

-5

Step-by-step explanation:

Answer:

  3.3 ft

Step-by-step explanation:

Side NO is opposite the angle M, so the applicable trig relation is ...

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse×Sin

  NO = MN×sin(39°) = (5.3 ft)sin(39°)

  NO ≈ 3.3 ft

Answer:

c

Step-by-step explanation:

You can either try each answer on the table above, or find the slope then find the function/equation.

c-y1=s(n-x1)

(x1,y1) being any pair from the table and s being the slope.

Answer:

198

Step-by-step explanation:

If you add 11,18, 19, 81, 88, 89, 91, 98, 99 then the sum would be 594 then dividing by 3 would be 198.

PLZ MARK BRAINLIEST!!!

Answer:

the answer would be 139000

Answer:139000

Step-by-step explanation:

Answer:

a) The range of scores that includes the middle 95% of these test scores is between 470 and 674.

b) The range of scores that includes the middle 90% of these test scores is between 488.1 and 655.9.

Step-by-step explanation:

68-95-99.7 rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Z-score:

Problems of normally distributed samples are solved using 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.

In this question:

Mean [tex]\mu = 572[/tex], standard deviation [tex]\sigma = 51[/tex]

a. Use the 68-95-99.7 rule to estimate the range of scores that includes the middle 95% of these test scores.

By the 68-95-99.7 rule, within 2 standard deviations of the mean.

572 - 2*51 = 470

572 + 2*51 = 674

The range of scores that includes the middle 95% of these test scores is between 470 and 674.

b. Use technology to estimate the range of scores that includes the middle 90% of these test scores.

Using the z-score formula.

Between these following percentiles:

50 - (90/2) = 5th percentile

50 + (90/2) = 95th percentile.

5th percentile.

X when Z has a pvalue of 0.05. So when X when Z = -1.645.

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

[tex]-1.645 = \frac{X - 572}{51}[/tex]

[tex]X - 572 = -1.645*51[/tex]

[tex]X = 488.1[/tex]

95th percentile.

X when Z has a pvalue of 0.95. So when X when Z = 1.645.

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

[tex]1.645 = \frac{X - 572}{51}[/tex]

[tex]X - 572 = 1.645*51[/tex]

[tex]X = 655.9[/tex]

The range of scores that includes the middle 90% of these test scores is between 488.1 and 655.9.

Answer:

675/12

Step-by-step explanation: