if the digit in one’s place of a number is 2 then the last digit of its cube will be?

9514 1404 393

Answer:

  6 × 5

Step-by-step explanation:

If you want to reduce the fraction 12/30, you want to find the greatest common factor of 12 and 30. We can find that by looking at the prime factorization of each number.

  12 = 2·2·3

  30 = 2·3·5

The greatest common factor is 2·3 = 6. This means ...

  [tex]\dfrac{12}{30}=\dfrac{12}{6\times5}[/tex]

The product of interest is 6 × 5.

_____

Additional comment

Any of the factor pairs of 30 could be used. Only the one shown is useful for reducing the fraction to lowest terms.

  30 = 1×30 = 2×15 = 3×10 = 5×6

Answer:

a) 10 cucumbers

b) two fifth x, or 2/5x

c) 15 vegetables

Answer:

$973.32

Step-by-step explanation:

(800)(1+.04)^5=973.32232192 rounded to the nearest penny =973.32

Answer:

A (obviously)

Step-by-step explanation:

Info Given

Answer:

[tex]w =7\ or\ w =3[/tex]

Step-by-step explanation:

Given

The right question is:

[tex]\log(w^2+ 21) = \log(10w)[/tex]

Required

Solve for w

[tex]\log(w^2+ 21) = \log(10w)[/tex]

Cancel log on both sides

[tex]w^2+ 21 = 10w[/tex]

Equate to 0

[tex]w^2 - 10w+ 21 = 0[/tex]

Split

[tex]w^2 - 3w - 7w+ 21 = 0[/tex]

Factorize

[tex]w(w - 3) - 7(w-3) = 0[/tex]

Factor out w - 3

[tex](w - 7)(w-3) = 0[/tex]

Solve for w

[tex]w - 7 = 0\ and\ w - 3 = 0[/tex]

[tex]w =7\ or\ w =3[/tex]

Hi!

-6(2y + 3) + 6 = 24

-12y - 18 + 6 = 24

-12y = 24 + 18 - 6

-12y = 36 || : (-12)

y = -3

Answer:

y = 3/2x + 8

Step-by-step explanation:

using points (-2,5) and (0,8),

we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!

Answer:

bestieeee wheres the equationsss

Step-by-step explanation:

Answer:

the answer is A

y= 1.9x + 69

y=6x

Answer:

Yeah they similar

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

These triangles are both obtuse with a 102 degree angle, 30 degree angle, and a 48 degree angle. (180 - 48 = 30.)

Answer:

see the list below

Step-by-step explanation:

did all the formulas for each and I believe the order is from (smallest to biggest)

1. The half sphere or hemisphere (3rd in the pic)

2.The pyramid

3.slanted cone

4.cone

5.slanted cylinder

6.and finally the cylinder

Volume of cylinder II< Volume of cylinder I< Volume of Cone II< Volume of pyramid <Volume of Cone I

The amount of space occupied by a three-dimensional figure as measured in cubic units.

                            = 1/3*22/7*5*5*7

                            =25 cm³

                               = 22/7*4*4*5

                               = 251.42 cm³

                               = 2/3*22/7*3.5*3.5*3.5

                               = 89.833 cm³

                               = 10*5*6

                               = 100 cm³

                               = 22/7*6*6*8

                               = 905.14 cm³

                            = 1/3*22/7*4.5*4.5*7.5

                            =159.107 cm³

Learn more about volume here:

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Answer:

6 the correct answer okay.

Answer:

A)15x+30=weekly income

B)8 hours

Step-by-step explanation:

15x+30= weekly income

The 15 multiplies because it says per hour

The 30 is constant because she only earns it once (per week)

15x+30=150

minus 30 from both sides

15x=120

divide by 15

x=8

ANSWER:

245.83

Step-by-step explanation:

16,780/100=167.8

167.8 x 1.465= 245.827

Using unitary method, Adam's monthly payment is 245.83 dollar.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.

Learn more about unitary method here

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Answers:

Each approximate value used pi = 3.14

=====================================================

Explanations:

Problem 12

The larger circle has a diameter of 48 inches. Each smaller circle has a diameter of 48/3 = 16 inches because we have three identical smaller circles stacked on top of each other to exactly the height or diameter of the larger circle.

That 16 inch diameter cuts in half to 8 inches, which is the radius of any given smaller circle. We'll plug r = 8 into the area formula below to get the following result:

A = pi*r^2

A = 3.14*8^2

A = 200.96

This is the approximate area of one smaller circle. The value is approximate because pi = 3.14 is approximate. To get a more accurate answer, use more decimal digits of pi.  

The units for the area are in "square inches" which we can write as "square in" or as "in^2".

-----------------------------------------

Problem 13

The diameter is d = 48 which is plugged into the circumference formula below

C = pi*d

C = 3.14*48

C = 150.72

The perimeter of the larger circle is roughly 150.72 inches

The circumference is the perimeter of the circle, i.e. the distance around the circle's edge.

Answer:

will be sufficient to prove triangles congruent. If three sides of a triangle are congruent to three sides of another triangle, the triangles are congruent. If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Answer:

15/5

Step-by-step explanation:

because 7.5 ÷ 4.5 = 1.66667

5 ÷ 3 = 1.66667

and 45 ÷ 27 = 1.66667

but 15 ÷ 5 = 3 therefore it's the off one out.

Answer:

-7/4 = 2/5t

x5        x5

-35/4 = 2t

Divide by 2 on both sides

-4 3/8 = T

Answer:

35/8

Step-by-step explanation:

Answer:

A.

The first 5 terms:

B.

The first 5 terms:

Answer:

-6x+27

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-6x+27

Step-by-step explanation:

3(-2x + 9)

-6x+27

Answer:

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Step-by-step explanation:

95% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{2.6}{\sqrt{36}}[/tex]

[tex]M = 0.85[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 0.85 = 1.75 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 0.85 = 3.45 grams per milliliter.

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

99% confidence level:

By the same logic as for the 95% confidence interval, we have that [tex]Z = 2.575[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.575\frac{2.6}{\sqrt{36}}[/tex]

[tex]M = 1.12[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 1.12 = 1.48 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 1.12 = 3.72 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Answer:

d.

Step-by-step explanation:

The gradient is -5 meaning that it's going downwards as x increases

The y-intercept is 3

Feel free to mark as brainliest :D

Answer:

$732

Step-by-step explanation:

Given

[tex]y \to profit[/tex]

[tex]x \to widgets[/tex]

[tex]y = -x^2 + 64x - 292[/tex]

Required

The maximum profit

First, we calculate the maximum amount of widgets that can be sold using:

[tex]x = -\frac{b}{2a}[/tex]

Where:

[tex]a = -1; b = 64; x = -292[/tex]

So, we have:

[tex]x = -\frac{64}{2 * -1}[/tex]

[tex]x = -\frac{64}{-2}[/tex]

[tex]x = -(-32)[/tex]

[tex]x = 32[/tex]

The maximum profit is:

[tex]y = -x^2 + 64x - 292[/tex]

[tex]y = -(32)^2 + 64 * 32 - 292[/tex]

Using a calculator, we have:

[tex]y = 732[/tex]

Answer:  8.7 in

Step-by-step explanation:

Answer:

8.7inches

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

Given: 5(x+5) = 10

Find: x

Set the equation up.

5(x+5) = 10

Simplify.

5x + 25 = 10

Subtract 25 from both sides.

5x = -15

Divide to isolate the variable.

x = -3.

Answer:

x = -3

Step-by-step explanation:

Lets start simplifying:

Method 1:

5(x+5) = 10      Multiply parenthesis by 5

5x+25 = 10     Subtract 25 from both sides

5x = -15           Divide by 3 on both sides

x = -3

Method 2:

5(x+5) = 10     Divide by 5 on both sides

x+5 = 2           Subtract 5 from both sides  

x = -3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

10 cubes

Step-by-step explanation:

2.5 × 1 × 2 = 5 cm³

5 ÷ 0.5

10 cubes

Answer:

10 cubes

Step-by-step explanation:

1 × 2 × 2.5 = 5cm^3

5 ×× .5 = 10

so 10 cubes would fit

Answer:

c but you have it so thanks

Step-by-step explanation:

Answer:

The Answer is C) 18.5

Step-by-step explanation:

Answer:

B. (0.87, 0.48)

Step-by-step explanation:

I calculated it logically