A jewelry box has a volume of 240 in cubic in. Its height is 12 inches, its width x in inches and its length ( x + 8) inches.

Answer:

(-∞, -1]∪{5}

Step-by-step explanation:

We know that:

f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.

So we can just look at the graph, we can see that in the interval:

(-∞, -1]   (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)

the graph is below or intersecting the x-axis

and this also happens at x = 5 or just denoted as {5}

Then the correct notation is:

(-∞, -1]∪{5}

Answer:

2 1/2

Step-by-step explanation:

divide in 5 then divide half in 5 also

Answer:

2,5

Step-by-step explanation:

The length of a piece of wood is:

12 ½ : 5 = 5/2 = 2,5

Answer:

I think the answer is yes

Multiply x by 12 to get y

Answer:

Step-by-step explanation:

Step 1

Find the fraction of the money he gave the charity

Let the total amount he had = 1

Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.

Fraction of money he gave to charity =

1 - (4/5 + 3/4 + 2/3)

He gives the remaning $50,000 to a charity. How much did he win?

Answer:

625 N

Step-by-step explanation:

First, find the area of the square.

Area = side x side

        = 5 x 5

        = 25 m²

Force = pressure x area

          = 25 x 25

          = 625 N

Hope this helps!

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅

Step-by-step explanation:

[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

(3x + 4)²

Step-by-step explanation:

Let the unknown number be x.

(3x + 4)²

Answer:

He should measure the length of the bowling alley using meters

Step-by-step explanation:

The score does Tyrone need in the fifth game so that his mean score is 125 is 168.

It is defined as the sum of all observations divided by the number of observations.

Given

Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.

[tex]\frac{120+123+105+109+x}{4+1} =125[/tex]

⇒ [tex]\frac{457+x}{4+1} =125[/tex]

⇒ [tex]\frac{457+x}{5} =125[/tex]

⇒ [tex]{457+x} =125[/tex] × [tex]5[/tex]

⇒ [tex]{457+x} =625[/tex]

⇒ [tex]x =625-457[/tex]

⇒ [tex]x =168[/tex]

Hence, the score does Tyrone need in the fifth game so that his mean score is 125 is 168.

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Answer:

1/2 chance

Step-by-step explanation:

5 and 10 can be divided down to 1/2

Answer:

The volume 27.

The volume of a cube:

Volume = side³

The volume of a cube with side 3 units is 27 cubic units.

It is a polygon having six faces.

The volume of a cube:

Volume = side³

Example:

The volume of a cub with a side length of 2 cm is 8 cubic cm.

We have,

Side = 3 units

Volume = Side³

Volume:

= 3³

= 3 x 3 x 3

= 27 cubic units

Thus,

The volume of a cube with side 3 units is 27 cubic units.

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Answer:

9 and 2

Step-by-step explanation:

9+2=11

9×2=18

Answer:

9 and 2

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

Answer:

compressibility, particle motion, shape

Step-by-step explanation:

just took it

Answer: A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.

Step-by-step explanation:

Long-term capital gains are indeed from investments that have been held for more than a year as opposed to short term gains from investments of less than a year. This means that long term gains can come from investments such as stocks and bonds.

Long-term capital gains are taxed at a lower rate than short term gains with most long term gains being taxed at 15% or lower. This is in contrast to short-term gains that are taxed at the same rate as ordinary income which means it could go up to as high as 37%.

Answer: A

Step-by-step explanation:

Answer:

1:2.25

12/12 = 1

27/12 = 2.25

Hope this helps!

Given:

Radius of a cylinder = 5 units.

Surface area of the cylinder = [tex]160\pi[/tex]

To find:

The height of the right cylinder.

Solution:

Surface area of a cylinder is:

[tex]A=2\pi rh+2\pi r^2[/tex]

Where, r is radius and h is the height of the cylinder.

Putting [tex]r=5, A=160\pi[/tex] in the above formula, we get

[tex]160\pi =2\pi (5)(h)+2\pi (5)^2[/tex]

[tex]160\pi =10\pi h+2\pi (25)[/tex]

[tex]160\pi =10\pi h+50\pi [/tex]

Subtract [tex]50\pi[/tex] from both sides.

[tex]160\pi -50\pi=10\pi h [/tex]

[tex]110\pi=10\pi h [/tex]

Divide both sides by [tex]10\pi[/tex].

[tex]\dfrac{110\pi}{10\pi}=h[/tex]

[tex]11=h[/tex]

Therefore, the height of the cylinder is 11 units.

Answer:

1. 8:15

2. 6

3. 32

4. 12.4

Answer:

27

Step-by-step explanation:

V_cylinder = pi r^2 h

h = 36

V_cylinder = 36 pi r^2

V_Sphere = 4/3 * pi * r^3

But the volumes are given as equal

36pi r^2 = (4/3) pi r^3                           divide by pi r^2

36 =  4/3 r                                             Multiply both sides by3/4

36 * 3/4 = r

r = 27

Answer:

(-2,-5)

Step-by-step explanation:

Y=x^2/2 +2x-3

Y=1/2 ×(x+2)^2 -5

a=1/2

h=-2

k=-5

(-2,-5)

The requried vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).

A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².

To find the vertex of the parabola defined by the equation y = (1/2)x² + 2x - 3, we can use the fact that the vertex is located at the point (-b/2a, f(-b/2a)), where a and b are the coefficients of the quadratic term and the linear term, respectively.

In this case, a = 1/2 and b = 2, so we can substitute these values into the formula to get:

x-coordinate of vertex = -b/2a = -2/(2*1/2) = -2

To find the y-coordinate of the vertex, we can substitute this value of x into the equation and simplify:

y-coordinate of vertex = (1/2)(-2)² + 2(-2) - 3

= 1/2(4) - 4 - 3

= -5

Therefore, the vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).

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Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

It can be written as:

[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]

[tex]\dfrac{1}{2}x+1+3y<8[/tex]

[tex]\dfrac{1}{2}x+3y<8-1[/tex]

[tex]\dfrac{1}{2}x+3y<7[/tex]

All the points that satisfy the above inequality are in the solution set of the given inequality.

For example (0,0).

[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]

[tex]0<7[/tex]

This statement is true. It means (0,0) is in the solution set.

For example (0,3).

[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]

[tex]9<7[/tex]

This statement is false. It means (0,3) is not in the solution set.

The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

Answer:

The answer I'd the option D

exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

Answer:

Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$

2+2+2+7=$13

Answer:

We have the inequality:

3*(2*x - 1) < 9

Where the given options are:

0, 1, 2, 3, 4

(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).

Again, let's start with the inequality:

3*(2*x - 1) < 9

and let's isolate the variable x.

(2*x - 1) < 9/3 = 3

(2*x - 1) < 3

2*x < 3 + 1 = 4

2*x < 4

x < 4/2

x < 2

Then all the values of x that are strictly smaller than 2 make the inequality true.

From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:

x = 0

and

x = 1.

Answer:

Exposed group has 2 times the odds of bladder cancer than not exposed group based on our odds ratio.

The disease is bladder cancer.

Explanation:

Calculate odds for exposed group =

1293 with bladder cancer had used artificial sweeteners in the past/

855 without bladder cancer had used sweeteners= 1.51

Calculate odds for not exposed group=

1707 with bladder cancer had never used artificial sweeteners/ 2145 without bladder cancer had never used artificial sweeteners=0.795

Odds ratio=odds for exposed group/odds for not exposed group

= 1.51/0.795

= 1.899

Therefore exposed group has two times the odds of bladder cancer than not exposed group.

Answer:

B. Parallelogram

Step-by-step explanation:

1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)

2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.

3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.

4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.

5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.

6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that  B. Parallelogram is the type of polygon that this figure is.

Answer:

x = -2    

x=-12

Step-by-step explanation:

5 | x+7| +14 = 39

Subtract 14 from each side

5 | x+7| +14-14 = 39-14

5 | x+7|  = 25

Divide each side by 5

5 | x+7| /5 = 25/5

| x+7|  = 5

Make two equations, one positive and one negative

x+7 =5     x+7 = -5

Subtract 7 from each side

x+7-7 = 5-7    x+7-7 = -5-7

x = -2               x=-12

Answer:

option A

Step-by-step explanation:

[tex]\frac{x^a}{x^b} = x^{a-b}[/tex] , [tex]z^0 = 1[/tex]

So,

[tex]\frac{18x^5 y}{6xy^8z^0} = \frac{18}{6} \times x^{5 -1} \times y^{1-8} = 3 x^4 \times y^{-7} = \frac{3x^4}{y^7}[/tex]

Answer:

Solution given:

x+x+24°=90[being complementary angle]

2x=90-24

x=66/2

x=33

again

2x=3y[vertically opposite angle]

y=2*33/3

y=22

Answer:

2x +24 =90

2x =90-24

2x =66

x =33

CAK=24

2X=3Y

3Y=2×33

3Y=66

Y. =22