What is the explicit rule that describes the arithmetic sequence shown in the graph
• an= 50+ (n-1) 150
• an= 50+ (n+1) 150
• an= 150+ (n-1) 50
• an= 150+ (n+1) 50

To find the radius of the sphere formed by melting five metal cubes with 7 cm sides, calculate the combined volume of the cubes and equate it to the volume of the sphere; then solve for the radius, which is approximately 7.24 cm.

To find the radius of the sphere formed by melting five metal cubes, we need to equate the total volume of the cubes to the volume of the sphere. The volume of a cube with a side length of 7 cm is found by the formula V = s³, where s is the side length of the cube. For one cube, this is V = 7 cm x 7 cm x 7 cm = 343 cm³. Since there are five cubes, the total volume is 5 x 343 cm³ = 1715 cm³.

The volume of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere. We must solve for r when the volume is 1715 cm³. Setting the volumes equal gives 4/3 * π * r³ = 1715 cm³. Solving for r yields:

r³ = (1715 cm³) / (4/3 * π)

r = (1715 cm³) / (4.14159)^√(1/3)

r ≈ 7.24 cm

Therefore, the radius of the sphere is approximately 7.24 cm.

Answer:

615,079

Step-by-step explanation:

I hope this is correct! This is the one I can asnwer! I hope this helps. Also if you use The desmos scientific calculator it may help you with  a lot of questions you may have!

Answer:

4y - 7

Step-by-step explanation:

Like terms are terms that have the same variable part. Variable part means the part of a term that is one or more variables and the exponents of the variables.

For example, in 2x^2 + 4xy + 5x^2 + 2y + 5 - 3y, the terms 2x^2 and 5x^2 have x^2 as their variable part. They are like terms. Likewise, 2y and -3y have y as their variable part. They are like terms. 2x^2 and 5x^2 can be combined into 7x^2. 2y and -3y can be combined into -y. The terms 4xy and 5 are not like terms and cannot be combined. By combining like terms in 2x^2 + 4xy + 5x^2 + 2y + 5 - 3y, you end up with 7x^2 + 4xy - y + 5.

Now we deal with your problem.

-4y - 4 + (-3)

The term -4y has a y as a variable. There is no other term with a y in it, so the term -4y cannot be combined.

The terms -4 and -3 have no variables. These two terms are like terms and can be combined.

-4y - 4 + (-3) =

-4y - 7

Answer:

7 minutes

Step-by-step explanation:

If Whitney walks 1 mile at a rate of 1 mile every 7 minutes, then it would take her 7 minutes to walk home from school.

Answer:

pi

Step-by-step explanation:

Theta is 1/2 of a circle

A circle is 360 degrees or 2pi radians

Take 1/2 of that for a semi circle

180 degrees or pi radians

Answer:

pi

Step-by-step explanation:

Arc length = r × theta

8pi = 8 × theta

theta = 8pi/8

= pi radians

To find the number of gallons of a 15% sugar solution needed to mix with a 40% sugar solution to make a 30% sugar solution, set up an equation.

In order to solve this problem, we can set up an equation based on the given information.

Let's say we need to mix 'x' gallons of the 15% sugar solution with the 5 gallons of the 40% sugar solution to get a 30% sugar solution.

The equation would be: 0.15x + 0.40(5) = 0.30(x + 5).

Solving this equation will give us the value of 'x', which represents the gallons of the 15% sugar solution needed.

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Answer:

A company wants to select 3 new employees.

We have 8 candidates, 6 males, and 2 females.

1) What is the number of combinations in which the new employees can be selected?

We have 3 positions.

For the first position, we have 8 options.

For the second position, we have 7 options, because we already selected one.

For the third position, we have 6 options, because we already selected two.

The number of different combinations is (8*7*6)/(3*2*1) = 56

The division by 3*2*1 is because if we no divide by this, we are counting multiple times the same combination of employees, but they are contracted in different orders.

2) How many ways you can select only one male?

In this case, we have 3 positions, two of those positions must be for the 2 women, so in the other position, we can select only one male.

We have 6 different males for that position, so we have only 6 combinations in this case.

3) In how many ways we can select at least one male?

Previously found that we have 56 combinations in total.

We only have 2 women and 3 positions, so in all of these combinations, we have at least one male. So there are 56 combinations with at least one male.

The number of combinations in which these 3 new employees can be selected is equal to 56.

Given the following data:

Since the company needs 3 employees, it simply means there are 3 vacant positions. Thus, the number of combinations in which these 3 new employees can be selected is given by:

_nC_r = \frac{n!}{r!(n-r)!}

Combination(n, k) = n!/(r!(n - r)!)

Combination(8, 3) = 8!/(3!(8 - 3)!)

Combination(8, 3) = 8!/(3!(5)!)

Combination = (8 × 7 × 6)/(3 × 2 × 1)

Combination = 336/6

Combination = 56.

Two (2) of the 3 vacant positions must be taken by 2 women, so we can only select one male. Thus, the number of ways is given by:

Number of ways = 6 × 1

Number of ways = 6.

Choosing 1 male = 6 ways

Choosing 2 males = two males from 6 males and 1 male from two females.

Comb(6, 2) × 2 = 6!/(2!(6 - 2)!) × 2

Comb(6, 2) × 2 = 6!/(2!(4)!) × 2

Comb(6, 2) × 2 = 15 × 2

Comb(6, 2) × 2 = 30 males.

Choosing 3 males = three males from 6 males;

Comb(6, 3) = 6!/(3!(6 - 3)!)

Comb(6, 3) = 6!/(3!(3)!)

Comb(6, 3) = 20 males.

Total combination = 6 + 30 + 20

Total combination = 56.

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Answer:

133/3=         147/5 =

  44              29.7

        44-29.7

14 pies can be made.

133/4              147/2

33.25               73.5

        73.5-33.25

40 jars of apple sauce can be made

(I rounded my decimals)

Step-by-step explanation:

3x+4y=133

5x+2y=147

3x+4y=133

-10x-4y=-294

-7x=-161

x=23

3(23)+4y=133

69+4y=133

64=4y

y=16

23 pies and 16 jars of apple sauce

Answer:

[tex]252 \: {m}^{2} [/tex]

Step-by-step explanation:

Two Squares area:

[tex]2 \times (6 \times 3) = 36 \: {m}^{2} [/tex]

1 Square perimeter:

[tex]2 \times (6 + 3) = 18 \: m[/tex]

Lateral area:

[tex](18 \times 12) = 216 \: {m}^{2} [/tex]

Total area:

[tex](216 + 36) \: = 252 \: {m}^{2} [/tex]

The surface area of the prism is 252 m².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given is rectangular prism with dimensions, 12m × 6m × 3m, we need to find its surface area,

The surface area of a rectangular prism with dimensions, L × W × H, is given by = 2(LH+LW+WH)

Therefore,

SA = 2(12×3+12×6+6×3)

= 2(36+72+18)

= 2 × 126

= 252 m²

Hence, the surface area of the prism is 252 m².

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Answer:

4 x 10^12

Step-by-step explanation:

4,000,000,000,000

The quotient is 4*10^12.

(6*10^8) / (1.5*10^-4) = 4*10^(8-(-4)) = 4*10^12

6 divided by 1.5 is 4. When the base is the same, and you're dividing, you subtract the exponents. They both have a base of 10, so 8-(-4) gives you 12. So, it would be 10^12.

Answer:

The centre is (-11, -6) and the radius = 18 units.

(Option 4).

Step-by-step explanation:

If we compare this with the standard form

(x - h)^2 + (y - k)^2 = r^2

- we see that the center is (-11, -6) and the radius id √324.

The center of the circle is at (−11, −6) and the radius is 18 units.

The equation of a circle in general form is (x - h)^2 + (y - k)^2 = r^2 where (h, k) are the coordinates of the center of the circle and r is the radius. Given the equation (x + 11)^2 + (y + 6)^2 = 324, we can see that it is in a similar form but with a positive sign in the brackets. This implies that the center of the circle is at (−11, −6) and that the radius is the square root of 324, which is 18 units.

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Answer:

87 pages are filled with stamps.

Step-by-step explanation:

We need to know how many stamps are in the album. Since it can hold 500 but is missing 13%, we can say that it is 87% (100-13=87) complete.

500*0.87=435

The album has 435 stamps.

A page can hold 5 stamps. Thus, 435/5=87

To find out how many stamp album pages are filled, calculate the total number of album pages, determine the number of empty stamps at 13%, and subtract the number of empty pages from the total to get 87 filled pages.

The mathematics problem presented asks how many pages of a stamp album are filled with stamps if 13% of the album is empty. To solve this, we need to calculate the total number of stamps that can fit in the album and determine how many stamps equivalent to 13% of the album are missing. With 500 stamps able to fit in the album and each page holding 5 stamps, we can first find out the total number of pages in the album.

Total number of pages = Total stamps / Stamps per page = 500 / 5 = 100 pages

Next, we calculate 13% of the total number of stamps to find out how many stamps are missing:
Number of empty stamps = Total stamps [tex]\times[/tex] 0.13 = 500 [tex]\times[/tex] 0.13 = 65 stamps

Now, we find out the number of empty pages:
Number of empty pages = Empty stamps / Stamps per page = 65 / 5 = 13 pages

Thus, the number of filled pages:
Total pages - Empty pages = 100 - 13 = 87 filled pages.

Answer:

Step-by-step explanation: 6,5

Answer:

6, 5

Step-by-step explanation:

1+5=6 It moves to the right so it's addition

2+3=5 It moves up so it's addition

1. decimal point 2. decimal 3. hundredth 4. 0.4 5. 1, 0.03 6. 80/100 0.80 7. 0.50 50/100 8. 60/100 0.60 the rest are easy

Answer:

44°

Step-by-step explanation:

∠ DEB and ∠ AEC are vertical and congruent

Thus ∠ DEB = 58°

The measure of the chord- chord angle DEB is half the sum of the measures of the arcs intersected by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (DB + AC ) = 58° ( multiply both sides by 2 )

DB + AC = 116°, that is

DB + 72° = 116° ( subtract 72° from both sides )

DB = 44°

Answer:

Hey, and also, The Answer to Your question is 44 Degrees.

Step-by-step explanation:

∠ DEB and ∠ AEC are vertical and congruent

Thus ∠ DEB = 58°

The measure of the chord- chord angle DEB is half the sum of the measures of the arcs intersected by the angle and its vertical angle, that is

(DB + AC ) = 58° ( multiply both sides by 2 )

DB + AC = 116°, that is

DB + 72° = 116° ( subtract 72° from both sides )

DB = 44°...... Stay safe Guys.

Answer:

under 7 is 35 and the next box is 9 on top and 45 on the bottom

Step-by-step explanation:

you have to multipy the books Jillian read by how many times 3 can go into 15, which is 5 times. You can also divide 15 by 3 to find out if its multiplied by 5.

Answer:

96 5/8

Step-by-step explanation:

because 96+5/8 is 96 5/8

Answer:

-18

Step-by-step explanation:

-3-15 = -3 + -15

= -18

Answer:

-18

the universe hates me

Answer:

1/42

Step-by-step explanation:

You can use a calculator and input the equation.

Answer:

1/42

Step-by-step explanation:

1/7 divided by 6= 1/7 multiplied by 1/6. We get 1/6th because we have to flip 6/1 around, 1/6 times 1/7 =1/42

Answer:

w + 4

Hope the picture helps

the y int of the function y = -2x + 8 is 8 or (0,8) because in y = mx + b form, the b represents the y int.

the graph...the y int is where the line crosses the y axis...and that is (0,8) or 8

Answer:

c would be your answer :-)

Step-by-step explanation:

Trust me bro I just know things

Answer:

The answer C

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

Unless you see a bar over one or more of the numbers (specifically 9 or 39), then it is not a repeating decimal, but rather a terminated decimal.

If there is a bar over the number, it means that specific set of numbers are repeated. Another way to tell if it is repeated is if there are dots at the end.

~

Answer:

D. q minus 22 = 24: Add 22 to both sides. The answer is 46.

Step-by-step explanation:

From the list of options, one would notice that the number is represented with letter q.

So, we'll analyse the question base on the assumption that the number is represented with letter q.

The statement "Twenty-two less than a number is twenty-four".

First, this statement can be splitted into two.

"Twenty-two less than a number" and "is twenty-four."

Taking them one after the other.

"Twenty-two less than a number" as it is means; q - 22

Then we have "is twenty-four."

is represents =

twenty-four = 24

This gives "= 24"

Bringing the two expressions together;

q - 22 = 24

To get the value of q; simply add 22 to both sides

q - 22 + 22 = 24 + 22

q = 46

Hence, option D is correct.

Answer:

ITS D

Step-by-step explanation:

Answer:

Volume Area 1 - Long Rectangle = 8 x 4 x 2 =64

Volume smaller Rectange = 2 x 2 x 3 = 12

Total Volume = 64 + 12 = 76 cubic inches

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

Answer:

c = 4.24

Step-by-step explanation:

again, you have a^2+b^2=c^2

this time, all you have to do is substitute.

3^2+3^2=c^2

9+9=c^2

18=c^2

take the square root of both sides, you get c=(18)^1/2 or about 4.24.

Answer:

the answer is 393

Step-by-step explanation:

hope we can be friends

can i please get brainliest