What is the missing fifth term in the
pattern below?
1,8, 27, 64, ___

The required area of the sculpture that is shaped like a circle is [tex]78.5m^2[/tex].

Given that,

Jessie designed a sculpture that is shaped like a circle,

The circumference of the sculpture is 10π meters.

We have to determine,

Which measurement is closest to the area of the sculpture in square meters.

According to the question,

Circumference of the circle = [tex]2\pi r[/tex]

Where, circumference = [tex]10\pi[/tex]

Then,

[tex]10\pi =2\pi r[/tex]

[tex]r=\frac{10\pi }{2\pi }[/tex]

[tex]r=5m[/tex]

Therefore,

Jessie designed a sculpture that is shaped like a circle.

Area of the circle = [tex]\pi r^2[/tex]

Where, r = 5m

Then,

Area of the circle is given by,

[tex]=\pi r^2[/tex]

[tex]=78.5m^2[/tex]

Hence, The required area of the sculpture that is shaped like a circle is [tex]78.5m^2[/tex].

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Answer:

-9.25

Step-by-step explanation:

Answer: Heyaa! ~

Your Exact Answer is... - 37/4 but your Decimal form is -9.25

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Hopefully this helps you!

-Matthew ~

The sequence 4, 20, 36, 52, Required 6th term is 84.

A sequence is an enumerated group of objects in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of elements (possibly infinite). In contrast to a set, the same elements can appear more than once in a sequence at various positions, and unlike a set, the order is important. The formal definition of a sequence is a function from natural numbers to the elements in each position. An indexed family, which is a function from any index set, can be thought of as a generalisation of the idea of a sequence.

For instance, the letters (M, A, R, Y) are arranged with M coming first and Y coming last.

Given, sequence is an arithematic sequence with common difference 16 and first term 4.

So,

6th term = first term + 5 * common difference

               = 4 + 5 * 16

               = 84

Hence, the required 6th term is 84.

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Answer:

So looking at the expression that was given to us, we know that we must solve for g.  In order to solve for g we need to make sure that g is alone on one side of the expression.  In this example, we need to multiply both sides by 4 to get rid of the fraction on the left and in effect we would multiply 12 by 4 also.

[tex]\frac{g}{4} > 12[/tex]

[tex]\frac{g}{4}*4 > 12*4[/tex]

[tex]g > 48[/tex]

Therefore, our final answer is [tex]g > 48[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

g > 48

Step-by-step explanation:

g/4 > 12

g > 12*4

g > 48

Answer:

see below

Step-by-step explanation:

the third one

8m^2-5m^+9m^2-9-4-2m

You add 8 and 9, as they have the same exponents, and as there is only one answer witha positive 17, it is ur answer

When observing a performance or movement pattern, you should break down the complex skills into component parts.

Complex skills are skills that are composed of many parts. This makes it difficult  to engage in these sort of skills without a rigorous training.

Thus, when observing a performance or movement pattern, you should break down the complex skills into component parts.

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Answer:

0.26 because the question states it. 0.262 can't be rounded up to 27 because 2 isn't high enough so it stays as 0.26

The model for representing the ratio of the number of orange and green rolls are [tex]\dfrac{3}{2}[/tex]

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.

A model that represents the ratio of different colored streamers.

[tex]\dfrac{3}{2}=\dfrac{O}{G}{[/tex]

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.

3O=2G

Hence the models are     [tex]\dfrac{3}{2}=\dfrac{O}{G}{[/tex]   and    3O=2G

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Answer:

12 :)

Step-by-step explanation:

18/3 = 6

Now we multiply :)

6 x 2 = 12

Have an amazing day!!

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New price = 90 dollars

25% of 120 = 30

Price is reduced 25% from 120 so,

120 - 30 = 90

Amount of discount = 30

Answer:

  30√3 ≈ 51.96 miles

Step-by-step explanation:

The distance between the two ships can be found using the Law of Cosines, or using your knowledge of the side relationships in special triangles.

__

Each ship is traveling at 10 mph, so after 3 hours will have traveled 30 miles.

The triangle OS1S2 formed by the harbor and the two ship locations is an isosceles triangle with base angles of 30°. Each half of OS1S2 is a 30-60-90 triangle whose longer leg is √3 times half the hypotenuse. The sum of those two "longer legs" is the distance between the ships.

The distance between ships is 2×15√3 = 30√3 ≈ 51.96 miles.

_____

Additional comment

If you prefer to use the Law of Cosines, you are looking for the length of the side opposite the 120° angle in a triangle with sides of 30 miles.

  c² = 30² +30² -2·30·30·cos(120°) = 30²(2-2·(-0.5)) = 3·30²

  c = 30√3 . . . . . take the square root (miles)

Answer:

x = 45

p = 18

Step-by-step explanation:

Step-by-step explanation:

here you go best of luck on this

Step 1

Find the area of the Square in the middle

Formula for finding square:

[tex]A = L*W[/tex]

Let's apply the formula and find our answer:

[tex]A = 2*2\\=4[/tex]

The area of the square is 4 units

Step 2

Find the area of all 4 triangles around the square

As you know, the formula for finding 1 triangle is as follows:

[tex]A = \frac{1}{2} *B*H[/tex]

But, to find the area of 2 triangles, we can use this formula:

[tex]A=B*H[/tex]

And to find 4 of them (with same dimensions;as required here), we can use this one:

[tex]A=2*B*H[/tex]

Let's apply the formula then! What are we waiting for!!!!

[tex]A=2*2*2\\=2*4\\=8[/tex]

The area of ALL of the triangles around the square is 8 units

Step 3

Add all areas to find FINAL ANSWER!

Easy!

4+8=12

Answer:

12 is the answer because 2 x 2 = 4 but since it is a triangular face we half it and end up with 2, 2 x 4 is 8, the square it 2 x 2 = 4 so we add 4 and 8 which equals 12  

The tower is 260 feet away from the fire.

The height of the tower is the opposite side while the distance from the tower to the fire is the adjacent side.

Given:

Angle of depression = 30°.

Opposite side = 150 feet.

Now,

tan [tex]\thtea\\[/tex][tex]\theta[/tex]= P/B

tan 30 [tex]\thtea\\[/tex]= 150/B

1/√3= 150/B

B=  150*√3

B= 150*1.732

B= 259.8

B= 260 feet.

Hence, the tower is 260 feet away from the fire.

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Answer:

31.25 k

Step-by-step explanation:

80 %   *  x = 25 k

.80  x    = 25 k

x   = 25 k / .80 = 31.25 k

Answer:

  125k

Step-by-step explanation:

You want to know Ola's daily allowance if 25k remained after 80% was spent.

The fraction remaining was 100% -80% = 20%. If that fraction of Ola's allowance (a) is 25k, we have ...

  0.20a = 25k

Dividing by 0.20, the value of 'a' is shown to be ...

  a = 25k/0.20 = 125k

Ola's total daily allowance was 125k.

Answer:

[tex]\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy[/tex]

Step-by-step explanation:

We can use the washer method. Because the axis of revolution is vertical, our representative rectangle is horizontal. Recall that:

[tex]\displaystyle V = \pi \int_a^b \left[ R(y)\right] ^2 - \left[r(y)\right]^2 \, dy[/tex]

Solve each equation as a function of y:

[tex]\displaystyle \begin{aligned} y & = \sqrt{x} \\ \\ x_1 & = y^2\end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned} y & = \frac{1}{4}x^2 - 1 \\ \\ x_2 & = \pm\sqrt{4(y+1)} \\ \\ & = \sqrt{4(y+1)}\end{aligned}[/tex]

The outer radius R is simply (4 - x₁) and the inner radius r is (4 - x₂). The point of intersection is (3.368, 1,835), so our limits of integration are from y = 0 to y = 1.835.

Therefore, the integral that represents the region being revolved around

x = 4 is:

[tex]\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy[/tex]

Answer:

Kayla , why do you find the question tricky?  :/

Step-by-step explanation:

HP total = 3*3/4 +  5*1/4  + 6*3_1/3  + 8* 1/2

HP total = 9/4 + 5/4 + 18_6/3 + 8/2

HP total = 9/4 + 5/4 + 60/3 + 16/4

HP total = 27/12 + 15/12 + 240/12 +48/12

HP total = 330/12

HP total = 165/6

HP total = 55/2

HP total = 27_1/2

Answer:

27.5 HP

Step-by-step explanation:

Sum

Answer:

+ 5, - 5

Step-by-step explanation:

p^2 - 8 = 17

p^2 = 17 + 8

p^2 = 25

      = 5 x 5

p^2 = 5^2

p = ± 5

The amount of the profit at x = -2 can not be determined because the number of the shirt can not be negative. Then the amount of the profit at x = 12 is $ 2 and at x = 17.5 is $ 35.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A company manufactures and sells shirts.

The daily profit the company makes depends on how many shirts they sell.

The profit, in dollars, when the company sells x shirts can be found using the function f(x) = 6x − 70.

Find and interpret the given function values and determine an appropriate domain for the function.

Then at x = −2, then the profit will be

For this condition, the amount of the profit can not be determined because the number of the shirt can not be negative.

Then at x = 12, then the profit will be

f(12) = 6 × 12 − 70

f(12) = 72 − 70

f(12) = $ 2

Then at x = 17.5, then the profit will be

f(17.5) = 6 × 17.5 − 70

f(17.5) = 105− 70

f(17.5) = $ 35

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The person must leave the money in the bank for about 10.1 years at interest 4.25% to reach $11200 when compounded annually.

Compound interest is when interest is added to the principal of an investment, allowing the interest to compound over time. In other words, the beginning principal as well as the total interest from prior periods are both used to compute interest. In contrast to simple interest, which only affects the initial capital, this causes the investment to expand exponentially over time. Often utilised in banking and investment, compound interest is sometimes defined in terms of a yearly interest rate and the frequency with which it is compounded.

Given that, bank pays 4.25% interest compounded annually on the invested amount.

The compound interest is given as:

[tex]A = P(1 + r/n)^{(n*t)}[/tex]

Substituting the values of P = $5500, r = 4.25% = 0.0425, A = $11200, and n = 1.

[tex]11200 = $5500(1 + 0.0425/1)^{(1*t)}\\t = log(11200/5500)/log(1.0425) = 10.1 years[/tex]

Hence, the person must leave the money in the bank for about 10.1 years to reach $11200.

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Using the Central Limit Theorem, it is found that the best prediction is given by:

A: Gabby.

It states that higher sample sizes and a higher number of experiments lead to more accurate predictions.

Gabby's sampling method has the higher sample size and also the higher number of experiments, hence her experiment gives the best prediction and option A is correct.

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Answer: \sqrt[4]{xy^{2} }

Step-by-step explanation: Siplified

Answer:

Hamburgers and Tacos.

Step-by-step explanation:

If you divide 6 by 3 you get 2, and if you divide 9 by 3 you get 3.

2:3

Using the percentage concept, it is found that 1 serving of walnuts provides 10% of daily calories.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, one serving has 21 grams, each with 10 calories, hence the number of calories is given by:

C = 21 x 10 = 210 calories.

Hence, out of a 2,100 calorie diet, the percentage is given by:

[tex]P = \frac{210}{2100} \times 100\% = 10\%[/tex]

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Answer:

see explanation

Step-by-step explanation:

the arc length of a circle is calculated as

arc = circumference of circle × fraction of circle

(5)

circumference (C) is calculated as

C = 2πr ( r is the radius )

here diameter = 12 , then r = 12 ÷ 2 = 6

C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )

(6)

JK = 2πr × [tex]\frac{75}{360}[/tex]

    = 2π × 7 × [tex]\frac{5}{24}[/tex]

    = 14π × [tex]\frac{5}{24}[/tex]

    = [tex]\frac{14\pi (5)}{24}[/tex] ≈ 9.2 in ( to the nearest tenth )

(7)

7.5 = 2πr × [tex]\frac{120}{360}[/tex]

7.5 = 2πr × [tex]\frac{1}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

22.5 = 2πr ( divide both sides by 2π )

r = [tex]\frac{22.5}{2\pi }[/tex] ≈ 3.6 ft

Answer

North of the box plot speed over 72 is the answer because it is a very high speed of the chart and it shows that the its going over the average speed