Find the product of the sum of 64 and 17 and the difference of 56 and 39.

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:

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:

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:

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

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

When the first two terms and the last two terms are grouped, the common binomial factor is 6x – 7

30x² – 35x + 54x – 63

Group the first two and the last two terms

(30x² – 35x) + (54x – 63)

Factorise

5x(6x – 7) + 9(6x – 7)

Common factor => 6x – 7

Therefore, we can conclude that the common binomial factor in the expression is 6x – 7

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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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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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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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Step-by-step explanation:

all bags are mislabeled. that means, whatever is written on either of the 3 bags, is wrong.

so, the bag labeled "green" is NOT the one with 2 green apples. the one labeled "red" is NOT the one with 2 red apples.

and - my favorite - the one labeled "red/green" is NOT the one with the mixture.

so, we pick one apple from the bag that is currently (mis-)labeled as "red/green".

as it cannot be the mixed bag, it must be one of the pure color bags.

whatever color shows up, we know this is the bag with 2 apples of that color.

then the bag that was labeled with that color must be the other pure color (if it were the mixed bag, it would mean that the third bag was labeled correctly, which is not the case). and then the third bag is the mixed one.

for example :

we get a red apple in our first pick.

so, the bag, that was originally (but wrongly) labeled as "red/green" gets the label "red".

then the bag with the original (but again wrong) label "green" gets now the label "red".

and the third bag with the original (but wrong) label "red" gets the "red/green" label.

if the first apple is green, then the same principle just with reversed colors applies.

Step-by-step explanation:

here you go best of luck on this

Answer:

( -6 , 4 ) , ( -5 , 6 ) , (-3 , 6 ) , (-1 , 4 )

Answer:

x = 45

p = 18

Step-by-step explanation:

Answer:

12 :)

Step-by-step explanation:

18/3 = 6

Now we multiply :)

6 x 2 = 12

Have an amazing day!!

Please rate and mark brainliest!!

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

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 ~

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]

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

Step-by-step explanation: Siplified

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:

+ 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

Answer:

$9629.63

Step-by-step explanation:

I assume this is simple interest.

The formula for simple interest is

F = P(rt + 1)

where F = future value,

P = present value

r = annual interest rate

t = number of years

10,400 = P(0.02 × 4 + 1)

10,400 = 1.08P

10,400/1.08 = P

9,629.63 = P

Answer: $9629.63

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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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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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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Answer:

x = 10

y = 17.321

Step-by-step explanation:

feel free to ask questions !!

I have also attached the trig rules I was using just in case you wanted a general idea

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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