Find the Perimeter of the figure below, composed of a parallelogram and one
semicircle. Rounded to the nearest tenths place
4
14

Answer:

your answer will be C .

Step-by-step explanation:

The series and the sigma notations are[tex]\sum\limits^4_0 3(5)^n = 3 + 15 +75 + 375 +1875[/tex], [tex]\sum\limits^4_0 4(8)^n = 4 + 32 + 256+ 2048 + 16384[/tex], [tex]\sum\limits^4_0 2(3)^n = 2 + 6 + 18 + 54 + 162[/tex] and [tex]\sum\limits^4_0 5(3)^n = 5 + 15 + 45 + 135 + 405[/tex]

To do this, we simply expand each sigma notation.

So, we have:

[tex]\sum\limits^4_0 3(5)^n[/tex]

Next, we set n = 0 to 4.

So, we have:

3(5)^0 = 3

3(5)^1 = 15

3(5)^2 = 75

3(5)^3 = 375

3(5)^4 = 1875

So, we have:

[tex]\sum\limits^4_0 3(5)^n = 3 + 15 +75 + 375 +1875[/tex]

[tex]\sum\limits^4_0 4(8)^n[/tex]

Next, we set n = 0 to 4.

So, we have:

4(8)^0 = 4

4(8)^1 = 32

4(8)^2 = 256

4(8)^3 = 2048

4(8)^4 = 16384

So, we have:

[tex]\sum\limits^4_0 4(8)^n = 4 + 32 + 256+ 2048 + 16384[/tex]

[tex]\sum\limits^4_0 2(3)^n[/tex]

Next, we set n = 0 to 4.

So, we have:

2(3)^0 = 2

2(3)^1 = 6

2(3)^2 = 18

2(3)^3 = 54

2(3)^4 = 162

So, we have:

[tex]\sum\limits^4_0 2(3)^n = 2 + 6 + 18 + 54 + 162[/tex]

[tex]\sum\limits^4_0 5(3)^n[/tex]

Next, we set n = 0 to 4.

So, we have:

5(3)^0 = 5

5(3)^1 = 15

5(3)^2 = 45

5(3)^3 = 135

5(3)^4 = 405

[tex]\sum\limits^4_0 5(3)^n = 5 + 15 + 45 + 135 + 405[/tex]

Hence, the series and the sigma notations are[tex]\sum\limits^4_0 3(5)^n = 3 + 15 +75 + 375 +1875[/tex], [tex]\sum\limits^4_0 4(8)^n = 4 + 32 + 256+ 2048 + 16384[/tex], [tex]\sum\limits^4_0 2(3)^n = 2 + 6 + 18 + 54 + 162[/tex] and [tex]\sum\limits^4_0 5(3)^n = 5 + 15 + 45 + 135 + 405[/tex]

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Answer:

6cm,20cm,80cm,1m,1m,1.15m,132cm

Step-by-step explanation:

Hence,1 m=100 cm

Answer:

distributive property

Step-by-step explanation:

Answer:

The painter was more productive in week a.

Step-by-step explanation:

Find the unit rate.  How many houses could be painted in 1 day?

6/2 means that she could paint 3 houses per day

5/4 means that she could paint 1.25 houses per day.

The painter was more productive in the last week.

In this problem, we need to find in which week did the painter paint the most.

To find the solution to this problem, first, we need to divide 6 by 2 (last week)

which equals 3.

Next, divide 5 by 4 (this week)

which equals 1.25

Now, compare the two quotients and identify the larger number (3 and 1.25).

Basically, we can see that the number 3 is larger.

This means that the painter could paint 3 houses per day in the last week, and 1.25 houses per day in this week.

Therefore, we can say that the painter was more productive in the last week.

I hope this helps :)

The area of the shaded region = 810.66 ft²

What is rectangle?

Area of Shaded region:

(12+2*7)*20 - 12*20 + 3.14*((12+2*7)/2)² =

14*20 + 530.66 =

810.66 ft²

Therefore, the area of the shaded region = 810.66 ft²

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An78swer:

Step-by-step explanation:

Answer:

domain should be x=1

range is all real numbers

Step-by-step explanation:

Answer:domain should be x=1

range is all real numbers

Step-by-step explanation:

Answer:

39 hours

Step-by-step explanation:

First solve for how much Taylor would earn per hour which is to divide 203.40 by 9

= 203.40÷9 = 22.6

Let x represent the unknown hours

If 22.6 = 1 hr

Then 881.40 = x solving this simultaneously becomes

881.40 ÷ 22.6 = 39

x = 39, hence it'll take Taylor 39 hours to earn $881.40

She have to work 39 hours the next week to earn $881.40.

In simple terms, the unitary method is used to find the value of a single unit from a given multiple. For example, the price of 40 pens is Rs. 400, then how to find the value of one pen here. It can be done using the unitary method. Also, once we have found the value of a single unit, then we can calculate the value of the required units by multiplying the single value unit.

In 9 hours she earned  $203.40

∴ In 1 hour she earned $203.40/9 = $22.6

Let number of hours she worked to earn  $881.40  be x.

∴ x =   $881.40/ $22.6

x = 39 hours

Thus she have to work 39 hours the next week to earn $881.40.

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The probability that they each have a different tens digit is 0.047.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. The probability of either "heads" or "tails" is half because there are only two possible outcomes (heads or tails), and because the coin is fair, both outcomes (heads and tails) are equally likely.

Solution:- The collection contains 50 integers, hence there are [tex]^{50}C_5[/tex] different ways to select 5 different integers.

Sample space = [tex]^{50}C_5[/tex]

Each of the five numbers must correspond to one of the five available tens-digits, which are 2 through 6. There are a total of 105 ways to choose the five numbers that satisfy these properties because there are 10 ways to choose a number with a particular set of ten digits (such as 30, 31, or 39).

Therefore,

probability that each have a different tens digit = [tex]\frac{10^5}{^{50}C_5}[/tex]

                                                                                = [tex]\frac{10\times 10\times 10\times 10\times 10}{^{50}C_5}[/tex]

                                                                                = [tex]\frac{10\times 10\times 10\times 10\times 10}{\frac{50!}{(50-5)!5!} }[/tex]

                                                                                = [tex]\frac{10\times 10\times 10\times 10\times 10}{\frac{50!}{45!5!} }[/tex]

                                                                                 = 0.047

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The value of x that would make ABCD a parallelogram is x = 5

A parallelogram, opposite sides are equal and parallel, which means opposite interior angles are equal.

Opposite sides of a parallelogram are congruent and parallel

Therefore,

5x - 3 = 14x - 48

subtract 5x from both sides

5x - 5x - 3 = 14x - 5x - 48

-3 = 9x - 48

add 48 to both sides

-3 + 48 = 9x - 48 + 48

45 = 9x

x = 45 / 9

x = 5

Therefore, the value of x that would make ABCD a parallelogram is x = 5

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The three parts weigh 27/112 pound ( letter B).

The question gives:

Therefore, each part will be  [tex]\frac{\frac{9}{16} }{7} =\frac{9}{16} *\frac{1}{7} =\frac{9}{112}[/tex].

For knowing the three parts weigh, you should mulitiply the previous value for 3. Thus,

[tex]\frac{9}{112}*3=\frac{27}{112}[/tex].

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The weight of three parts is 27/112 pounds

The weight of the chocolate bar is given as:

Weight = 9/16

When it is cut into 7 equal parts, the weight of each part is

Each = Weight/7

This gives

Each = 9/16 * 1/7

Evaluate the product

Each = 9/112

The weight of three parts is then calculated as:

Three parts = Each * 3

This gives

Three parts = 9/112 * 3

Evaluate the product

Three parts = 27/112

Hence, the weight of three parts is 27/112 pounds

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The necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.

As it is given in the description itself, if we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.

Therefore, the necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.

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The value of w is 12.5 when x = 5 , y= 5  and z = 10.

What is Equation of variation?

Equation of variation w = [tex]\frac{kxy^{2} }{z}[/tex]

Constant of variation  k = [tex]\frac{wz}{xy^{2} }[/tex]

Find k when w = 1/2, x = 2 and z = 36

k = [tex]\frac{wz}{xy^{2} }[/tex]

[tex]k = \frac{\frac{1}{2} * 36 }{2 * 3^{2} }[/tex]

[tex]k = \frac{18}{2 * 9}[/tex]

[tex]k = \frac{18}{18}[/tex]

k= 1

find the value of w when x = 5 , y = 5 and z = 10

[tex]w = \frac{kxy^{2} }{z} \\w= \frac{1 * 5 * 5^{2} }{10}[/tex]

[tex]w = \frac{5^{3} }{10}[/tex]

w = 125 /10

w = 25 /2

w = 12 . 5

Therefore, the value of w is 12.5 when x = 5 , y= 5  and z = 10

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Answer:

300 degrees

Step-by-step explanation:

pi should be 180 degrees so 5*180/3 = 5*60=300

Answer: 7 1/2 cups

Step-by-step explanation:

We first need to make both fractions have an equal denominator. Cross Multiply 3/4 and 1/10. You will end up with 30/40 and 4/40.

Next we divided 30 by 4, and we will end up with 7 1/2. 7 times 4 is 28, and half of 4 is 1/2, or in this case 2/10. John can fill 7 and 1/2 cups of orange juice.

Step-by-step explanation:

x = the number of goals of the top scorer.

y = the number of goals of the second top scorer.

z = the number of goals of the third top scorer.

x + y + z = 98

x = y + 8

y = z + 15

using the third in the second equation we get

x = z + 15 + 8 = z + 23

and now using this and the third equation in the first equation gives us

z + 23 + z + 15 + z = 98

3z + 38 = 98

3z = 60

z = 20

y = z + 15 = 20 + 15 = 35

x = y + 8 = 35 + 8 = 43

the player with the most goals scored 43 goals.

The value of x in the triangle is 4

The complete question is added as an attachment

From the question, the given parameters are as follows:

Hypotenuse = 8

Adjacent = x

Angle = 60

The cosine of the angle is then calculated as:

cos(angle) = Adjacent/Hypotenuse

Substitute the known values in the above equation

cos(60) = x/8

Multiply both sides by 8

x = 8 * cos(60)

Evaluate the product

x = 4

Hence, the value of x in the triangle is 4

So, the complete parameters are:

Hypotenuse = 8

Adjacent = x

Angle = 60

x = 4

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Answer:

Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.

Step-by-step explanation:

The answer above is correct.

We've got a negative slope, but it doesn't look steep enough to go through 6 on the y-axis.

So, it's the last option:

y = - 1.25x + 5.75

Hope this helps!

Answer:

Step-by-step explanation:

the expected profit should be 2 dollars a drink

Use of identity for sum of cubes:

Change it as:

It is easy to notice that:

So the sum of cubes for the given expression will be:

Now substitute the values and calculate each of these:

(a) 4a + 5b = 5, ab = -1.

(b) 4a + 5b = -2, ab = 1/15.

(c) 4a + 5b = 1/3, ab = -1/9.

(d)  4a + 5b = -1, ab = 1.

The value of the Population Variance is 100.

According to the statement

we have given that the A population of N = 10 scores has μ = 50 and σ = 5. And we have to find the population variance.

So, For this purpose,

we know that the population variance can be defined as the average of the distances from each data point in a particular population to the mean squared, and it indicates how data points are spread out in the population.

Population variance = mean /(standard deviation/number of samples)

Population variance = μ / (σ /N )

Substitute the values in it and then

Population variance = 50 / (5 /10 )

Population variance = 50 / (0.5 )

Population variance = 100.

So, The value of the Population Variance is 100.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

A population of N = 10 scores has μ = 50 and σ = 5. What is the population variance?

a. 10

b. the square root of 5

c. the square root of 50

d. 25

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Answer:

9

Step-by-step explanation:

you have to plug in the numbers and solve it, so it would go as follows:

-(-3^2)- 2(-5)(2) - /2/

-9 + 20 - 2 =

9

i hope this helps

The alternatives that are similar monomials are given as follows:

a) 8x and -7x.

c) 4 and -17.

f) -x/3 and 11x.

Similar monomials are monomials in which the part with the letters are equal. For example, 8x and -7x, as x = x, or even 9x²y and -2x²y, as x²y = x²y.

Hence options a, c and f are correct in this problem.

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Answer: D

Step-by-step explanation:

The first term is 3 and the common difference is 2.

Substituting into the explicit formula for an arithmetic sequence gives D as the correct answer.

Answer:

372 in^3.

Step-by-step explanation:

The volume of the first prism =  9*6*3

= 162 in^3.

Volume of second prism

=  10*7*3

= 210 in^3.

Total vol = 162 + 210

= 372 in^3.

The required volume of the composite prism is 372 cubic inches,

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

here,
To determine the volume of the composite prism,
As we can see there is two rectangular prisms,
Calculate the volume of two individual prisms and add their volume to the composite volume of the figure.

The volume of the first prism
= lenght × width × height
=  9 × 6 ×3 = 162 in³

The volume of the second prism
= lenght × width × height
=  10 × 7 ×3 = 210 in³

The total volume of the composite figure = 162 + 210 = 372 in³.

Thus, the required volume of the composite prism is 372 cubic inches,

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The lines are neither parallel nor perpendicular

The equations of the lines are given as

3 x minus y equals 5

3 y equals x minus 15

Rewrite the equations properly

3x - y = 5

3y = x - 15

Make y the subject in both equations

In 3x - y = 5, we have

y = 3x +  5

In 3y = x - 15, we have

y = 1/3x - 5

The slopes of the two lines are

m1 = 3

m2 = 1/3

The above values are not equal, and they are not opposite reciprocal

This means that the lines are neither parallel nor perpendicular

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Answer:

12 m

Step-by-step explanation:

Well, imagine you got this nice room. How can it reach the other corner? It has to go along the 3 dimensions. So the shortest path would be: 5 + 4 + 3  12m

Answer:

3 + √(41) = 9.4 m (nearest tenth)

Step-by-step explanation:

The room can be modeled as a rectangular prism with:

If the ant is at the top of a corner of a room and crawls to the opposite bottom corner of the room, the shortest distance will be to travel down one vertical edge of the room then to travel the diagonal of the floor of the room (or to travel the diagonal of the ceiling and then one vertical edge).

Vertical edge = height of room = 3m

The diagonal of the floor (or ceiling) is the hypotenuse of a right triangle with legs of the width and length.  Therefore, to find the diagonal, use Pythagoras Theorem.

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

Given:

Substitute the given values into the formula and solve for c:

[tex]\implies 4^2+5^2=c^2[/tex]

[tex]\implies c^2=41[/tex]

[tex]\implies c=\sqrt{41}[/tex]

Therefore, the shortest distance the ant can travel is:

⇒ 3 + √(41) = 9.4 m (nearest tenth)

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There is a minimum value of -81 located at (x, y) = (6, -3).

The function given to us is f(x, y) = 3y² - 3x².

The constraint given to us is 2x + y = 9.

Rearranging the constraint, we get:

2x + y = 9,

or, y = 9 - 2x.

Substituting this in the function, we get:

f(x, y) = 3y² - 3x²,

or, f(x) = 3(9 - 2x)² - 3x² = 3(81 - 36x + 4x²) - 3x² = 243 - 108x + 12x² - 3x² = 243 - 108x + 9x².

To find the extremum, we differentiate this, with respect to x, and equate that to 0.

f'(x) = - 108 + 18x ... (i)

Equating to 0, we get:

- 108 + 18x = 0,

or, 18x = 108,

or, x = 6.

Differentiating (i), with respect to x again, we get:

f''(x) = 18, which is greater than 0, showing f(x) is minimum at x = 6.

The value of y, when x = 6 is,

y = 9 - 2x,

or, y = 9 - 2*6 = 9 - 12 = -3.

The value of f(x, y) when (x, y) = (6, -3) is,

f(x, y) = 3y² - 3x²,

or, f(x, y) = 3*(-3)² - 3*6² = 3*9 - 3*36 = 27 - 108 = -81.

Thus, there is a minimum value of -81 located at (x, y) = (6, -3).

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Answer:

D It repeats

Step-by-step explanation:

square root of 15 is 3.87298334621

11/25= 0.44

3/20=.6

D = 0.33333333333

Answer:

Work is incorrect

Step-by-step explanation:

I'm assuming this question is asking whether the work is correct or not? In which case the work is not correct.

The Pythagorean Theorem states: [tex]a^2+b^2=c^2[/tex] where c=hypotenuse, and "a" and "b" are the other two sides. The main thing to note here, is that the hypotenuse is the largest side of all three sides.

So the equation Arial set up: [tex]9^2+15^2=12^2[/tex] is incorrect, since the 15 would need to be on the right side. This forms the correct equation: [tex]9^2+12^2=15^2[/tex] which then simplifies to: [tex]81 + 144 =225 \implies 225=225[/tex].

Thus a right triangle can be formed using these side lengths. You can of course set up a similar equation to Ariels, where the "c" or hypotenuse is not isolated,  but you would have to rearrange the equation so that: [tex]a^2+b^2=c^2\implies b^2=c^2-a^2[/tex] but see how "a squared" is being subtracted from "c squared"? So it's a similar equation to Ariels, but not quite the same, and if she set it up like this, then she would reach the same conclussion