(4k^2*2k*k^3)^3 simplify

Answer:

 682

Step-by-step explanation:

620, percentage decreased by - 10% (percent) of its value = 682

Answer:

x = 92

Step-by-step explanation:

[tex]\frac{x}{46} =\frac{78}{39}[/tex]

I did big side over small side, proportions.

Cross Multiply.

39x = 3,588

divide by 39x

x = 92

Answer:

92

Step-by-step explanation:

These triangles are similar because they share a common angle and two pairs of sides in the same ratio.

Sides of the bigger triangle are double of those of the smaller triangle

46+46 = 92

Answer:

16 inches

Step-by-step explanation:

The perimeter of the tile is 16 inches. The perimeter of a shape is the total length of all of its sides added together.

In this case, the tile has two sides that are 6 inches long and two sides that are 2 inches long.

To find the perimeter, we can add all of the side lengths together:

Perimeter = 6 inches + 6 inches + 2 inches + 2 inches

Perimeter = 16 inches

Therefore, the perimeter of the tile is 16 inches.

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Answer:

5

Step-by-step explanation:

It is given that the solution to an inequality is

[tex]5\leq x<9[/tex]

It means the original inequality is true for any values of x which is greater than or equal to 5 and less than 9.

We need to find the smallest value of x that will make the original inequality true.

[tex]5\leq x\text{ and }x<9[/tex]

Therefore, smallest value of x is 5 that will make the original inequality true.

Answer: option c

Step-by-step explanation:

margin of error = critical value × s/√n

Where s = sample standard deviation = 0.58, n = 53

The critical value = 1.96 ( this is the critical value for a two test test corresponding to a level of significance of 5%)

By substituting the parameters, we have that

Margin of error = 1.96×0.58/√53

Margin of error = 1.96 × 0.0796

Margin of error = 0.156 ~ 0.16

Answer:

0.16 oz

Step-by-step explanation:

Answer:

The coordinates of the mid-point of JL are (-5 , 2)

Step-by-step explanation:

If point (x , y) is the mid-point of a segment whose end-points are [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex], then [tex]x=\frac{x_{1}+x_{2}}{2}[/tex] and  [tex]y=\frac{y_{1}+y_{2}}{2}[/tex]

∵ JL is a segment

∵ The coordinates of J are (-6 , 1)

∴  [tex]x_{1}[/tex] = -6 and  [tex]y_{1}[/tex] = 1

∵ The coordinates of L are (-4 , 3)

∴  [tex]x_{2}[/tex] = -4 and  [tex]y_{2}[/tex] = 3

Lets use the rule above to find the mid-point of JL

∵ [tex]x=\frac{-6+-4}{2}=\frac{-10}{2}[/tex]

∴ x = -5

∴ The x-coordinate of the mid-point is -5

∵ [tex]y=\frac{1+3}{2}=\frac{4}{2}[/tex]

∴ y = 2

∴ The y-coordinate of the mid-point is 2

∴ The coordinates of the mid-point of JL are (-5 , 2)

Final answer:

The coordinates of the midpoint of the segment with endpoints J(-6, 1) and L(-4,3) are obtained by averaging the x and y coordinates of the endpoints, resulting in (-5, 2).

Explanation:

To find the coordinates of the midpoint of a segment with endpoints J(-6, 1) and L(-4,3), you use the midpoint formula which is ((x1 + x2)/2, (y1 + y2)/2). In this case, x1 is -6, x2 is -4, y1 is 1, and y2 is 3. Plugging these into the formula, we get the midpoint coordinates ((-6 - 4)/2, (1 + 3)/2) which simplifies to (-5, 2). Therefore, the midpoint of JL is at the coordinates (-5, 2).

Answer:

y = -3cosx

Step-by-step explanation:

Let me rewrite your question:

So y = -3cosx is the function has the given properties

Answer: A

Step-by-step explanation: that’s the answer

Answer:

A

Step-by-step explanation:

Answer:

3 inches

Step-by-step explanation:

5 inches * 0.6 scale factor = 3 inches

Answer:

3 inches

Step-by-step explanation:

Answer:

1. Solution

-3w-w=3+4

-4w=7

Therefore,w= -7/4

Step-by-step explanation:

2. Solution

3(3-3x)=2(x+3)-30

9-9x=2x+6-30

9+40-6=2x+9x

43=11x

Therefore, x=43/11

#Hope it helps u

Answer:

2/3

Step-by-step explanation:

2 / (1/a + 1/b)

2 / (1/1 + 1/(½))

2 / (1 + 2)

2/3

The harmonic mean is [tex]2\div 3[/tex]

Since the string lengths of 1 and 1/2

So,

[tex]= 2 \div (1/a + 1/b)\\\\= 2 \div (1/1 + 1/(1\div 2))\\\\= 2 \div (1 + 2) \\\\= 2\div 3[/tex]

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Answer: 75 percent of the chicken are hens.

To find the number of adults and children admitted to the movie theater, we set up two equations based on the admission costs and total number of attendees. Solving these equations revealed that there were 450 adults and 225 children.

The question involves a system of equations where we are required to determine the number of adults and children who were admitted to the movie theater given the total revenue and total number of attendees.

Let's denote the number of adults by A and the number of children by C. Given the price of admission is $7 for an adult and $5 for a child, we can represent the total revenue with the equation:

7A + 5C = 4275
Also, considering the total number of people is 675, we have another equation:

A + C = 675

To solve these equations, we'll use the substitution or elimination method:

Therefore, there were 450 adults and 225 children admitted to the movie theater that day.

Yes because you have to convert the answers to 8/12 to 6/12

1/2 is not greater than 4/6 and the answer to the question "Is 1/2 greater than 4/6?" is no.

Answer:

B

Step-by-step explanation:

If it is inscribed in the circle that means all four corners of the square are touching the circle

so therefore the diagonal of the square is the diameter of the circle

the side lengths of the square as you know is 7 units ([tex]\sqrt{49[/tex]) the length of the diagonal is [tex]7\sqrt{2}[/tex] heres how I know

If you cut the square in half through the centre diagonally you will get a right  isosceles triangle, using the pythagorus theorum

[tex]7^2+7^2=C^2\\49+49=C^2\\98=C^2\\\sqrt{98}=C\\C=7\sqrt{x}[/tex]

Now we have the diameter

it's just half of that, so the answer is B

For a square inscribed in a circle, the length of the diagonal of the square equals the diameter of the circle. Given the area of the square is 49 units, the length of a side is 7 units, and thus the diagonal (or diameter of the circle) is 7√2 units. Therefore, the radius of the circle is half of the diameter, which is (7√2)/2 units.

In this question, we need to determine the radius of a circle in which a square is inscribed. The square has an area of 49 square units. In a square inscribed in a circle, the diameter of the circle is equal to the diagonal of the square. Thus, if 'a' is the length of a side of the square, the length of the diagonal, which is the diameter of the circle, is 'a√2'.

Given that the area of the square is 49 units, 'a^2=49' or 'a=7' units. Therefore, 'a√2' = '7√2' units. As this is the diameter, the radius of the circle is half of the diameter thus, it equals '(7√2)/2' units. Which means option b '(7√2)/2' units is the correct answer.

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Answer:26

Step-by-step explanation:

2x(8+5)

2x13=26

One sample cup will hold 11.51 ounces of fluid.

Step-by-step explanation:

Diameter of cone shaped cup = 4 inches

Radius = [tex]\frac{Diameter}{2}=\frac{4}{2}=2\ inches[/tex]

Height of cup = 5 inches

Volume of cone = [tex]\pi r^2 \frac{h}{3}[/tex]

Putting values

Volume of cone = [tex]3.14*(2)^2*\frac{5}{3}\\[/tex]

Volume of cone = [tex]3.14*4*\frac{5}{3}=\frac{62.8}{3}[/tex]

Volume of cone = 20.93 inches cubed

Amount of fluid in one cubic inch = 0.55 ounces

Amount of fluid in 20.93 cubic inches = 0.55*20.93 = 11.51 ounces

One sample cup will hold 11.51 ounces of fluid.

Option B: 13.9 is the value of y

Explanation:

Given triangle is a right angled triangle.

The legs of the triangle are 8 and y.

The hypotenuse of the triangle is x.

And the angle opposite to y is 60°

We need to determine the value of y.

Let us find the value of y using the tangent formula.

The formula for tan is given by

[tex]tan \ \theta=\frac{opp}{adj}[/tex]

Since, we know that [tex]\theta = 60^{\circ[/tex] , [tex]opp=y[/tex] and [tex]adj=8[/tex]

Substituting these values in the formula, we get,

[tex]tan \ 60^{\circ}=\frac{y}{8}[/tex]

Multiplying both sides by 8, we have,

[tex]8\times tan \ 60^{\circ}=y[/tex]

Substituting the value of [tex]\tan 60^{\circ}[/tex] , we get,

[tex]8\times 1.732=y[/tex]

Simplifying, we have,

[tex]13.856=y[/tex]

Rounding off, we get,

[tex]13.9=y[/tex]

Thus, the value of y is 13.9

Hence, Option B is the correct answer.

Answer:

164 square feet

164 ft^2

Step-by-step explanation:

Base: 10 × 4 = 40 (×2 = 80)

Front/back face: 10 × 3 = 30 (×2 = 60)

Left/right face: 3 × 4 = 12 (×2 = 24)

Add: 80 + 60 + 24 = 164

Answer:

$467.05

Step-by-step explanation:

The price is $562

First, 20% off of that:

562 - 20% of 562 = 562 - 0.2(562) = $449.60

Second, he has to pay 6% tax on this amount, so:

6% = 6/100 = 0.06

449.60 + 0.06*449.60 = $476.58

He won't be paying this amount, because paying through credit card will give him 2% discount on this, so:

476.58 - 0.02(476.58) = $467.05

Final Price: $467.05

Answer:

14x+3y=3

Step-by-step explanation:

Answer:

The answer is elimination and the equation evaluated would be (2,1)

Step-by-step explanation:

Answer:

1) 200

2) 10100

3) less than

explanation:

just did it :))

The sum of the first 100 even natural numbers will be 10,100.

Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

S = (n / 2)[a₁ + L]

S = (n/2) [2a + (n − 1) d]

The arithmetic sequence is given below.

2, 4, 6, 8, 10, .....

The first term is 2 and the common difference is 2. Then the sum of the first 100 even natural numbers will be

S = (100/2) [2 x 2 + (100 − 1) x 2]

S = 50 [4 + 99 x 2]

S = 50 [4 + 198]

S = 50 [202]

S = 10,100

The sum of the first 100 even natural numbers will be 10,100.

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Answer:

x=2, y= -1

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

$8.75

Step-by-step explanation:

He had $60 to spend on sports equipment.

He bought 6 footballs and was left with $7.50

First get the amount used in buying all the footballs

That’s

$60 - $7.50 = $52.5

He bought the 6 balls for $52.5

Therefore, amout paid for each football will be amount spent in buying the footballs divided by number of footballs bought

That’s

$52.5/6 = $8.75

Each football cost $8.75

Ratio of areas of similar triangles is 9 : 25.

Solution:

Given data:

Ratio of sides of two similar triangles = 3 : 5

To find the ratio of areas of the triangles:

We know that,

In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.

[tex]$\text{Ratio of areas} = \frac{\text{Area of triangle 1}}{\text{Area of triangle 2} }[/tex]

                      [tex]$=\left(\frac{3}{5}\right) ^2[/tex]

                      [tex]$=\frac{9}{25}[/tex]

Ratio of areas of similar triangles is 9 : 25.

Answer:

16

:

81

Explanation:

Scale factor for the sides of these triangles.

k

=

4

9

.

Therefore the ratio of area will be:

k

2

=

Area Triangle A

Area triangle B

k

2

=

(

4

9

)

2

=

16

81

Answer:  37.5 is 5% of 57.6923077

Step-by-step explanation:

The number where 75% of it equals 37.5 is 50.

To find the number, we can set up an equation based on the given information: 75% of a certain number is equal to 37.5. Mathematically, this can be represented as:

0.75x = 37.5

To isolate x, we can divide both sides of the equation by 0.75:

x = 37.5 / 0.75

Evaluating the division:

x = 50

Therefore, the number we are looking for is 50.

The equation 0.75x = 37.5 states that 75% (or 0.75 as a decimal) of a certain number x is equal to 37.5. By dividing both sides of the equation by 0.75, we "undo" the multiplication and solve for x. Dividing 37.5 by 0.75 gives us the value of 50.

To check our solution, we can substitute x = 50 back into the original equation:

0.75 x 50 = 37.5

37.5 = 37.5

The equation holds true, confirming that 50 is indeed the number where 75% of it equals 37.5.

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Answer:

3 apples per $ is the greatest unit rate when someone buy 12 apples for $4, because we are able buy more apples with this rate for the same price.

Step-by-step explanation:

As we know that unit rate can be calculated by dividing the two quantities having different units.

For example, Madrid has been champions 10 times in 30 seasons,

i.e. 10 champions / 30 seasons = 0.33 champions per season

and

Barcelona has been champions 5 times in 30 seasons.

i.e.  5 champions / 30 seasons = 0.16 champions per season

Thus, the champion rate for Real Madrid is greater than the champion rate for Barcelona. It means, Real Madrid has been a better team.

Now, let us check and answer the question.

       12 apples / $4 = 3 apples per $

       21 apples / $8 = 2.62 apples per $

       35 apples / $14 = 2.5 apples per $

       45 apples / $16 = 2.81 apples per $

From the above calculations and observation, we can conclude that 3 apples per $ is the greatest unit rate when someone buy 12 apples for $4.

This unit rate is the greatest because we are able buy more apples with this rate for the same price.

In other words, the rate is cheaper than the unit rate of the rest, because can buy more apples with this rate for the same price.

The value of [tex](\frac{f}{g})(5)[/tex] is [tex]\frac{27}{35}[/tex]

Explanation:

Given that [tex]f(x)=7+4x[/tex] and [tex]g(x)=7x[/tex]

The value of [tex](\frac{f}{g})(5)[/tex]:

The value of [tex](\frac{f}{g})(5)[/tex] can be determined by substituting x = 5 in the functions f(x) and g(x) and then dividing the terms, we get, the value of [tex](\frac{f}{g})(5)[/tex]

Thus, we have,

[tex](\frac{f}{g})(5)=\frac{f(5)}{g(5)}[/tex]

Substituting the value of x = 5 in the functions f(x) and g(x), we get,

[tex](\frac{f}{g})(5)=\frac{7+4(5)}{7(5)}[/tex]

Simplifying the terms, we have,

[tex](\frac{f}{g})(5)=\frac{7+20}{35}[/tex]

Adding the terms in numerator, we have,

[tex](\frac{f}{g})(5)=\frac{27}{35}[/tex]

Thus, the value of [tex](\frac{f}{g})(5)[/tex] is [tex]\frac{27}{35}[/tex]

Check the picture below.

[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{parallel~sides}{bases}\\ h=height\\[-0.5em] \hrulefill\\ a=12\\ b=15\\ h=16 \end{cases}\implies A=\cfrac{16(12+15)}{2}\implies A=216[/tex]

Answer: $240

Step-by-step explanation:

Simple interest= Principal x Rate x Time

Where P= 1600, R= 5% = 0.05, T=3

= 1600 x 0.05 x 3

$240