The function h(x) shown is the result of adding two
functions, f(x) and g(x).
Which statement could be used to describe the
functions?
y
2
2
O Both original functions have a domain of (-00,00).
O Both original functions have a domain of [-co, 2).
O The domain of f(x) is [2,00), while the domain of g(x)
is (-0,2).
The domain of f(x) is (-0, 2], while the domain of g(x)
is [2,00)
-10 -8 -6
4
6
8
10
-2.
-6
-8
-10
-12
14
16

The area of the sector which has a central angle of 5π/7 radians and a diameter of 5.6 in is 8.79 in².

The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.

It can be calculated as,

[tex]A_{sector}=\dfrac{d^2\theta}{8}[/tex]

Here, (d) is the diameter of the circle and (θ) is the central angle.

The central angle of the sector is 5π/7 radians and the diameter of the sector is 5.6 in.

Put the values in the above formula as,

[tex]A_{sector}=\dfrac{(5.6)^2\times5\pi}{8\times7}\\A_{sector}=\dfrac{(5.6)^2\times5\pi}{8\times7}\\A_{sector}=8.79 \rm \; in^2[/tex]

Hence, the area of the sector which has a central angle of 5π/7 radians and a diameter of 5.6 in is 8.79 in².

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Answer: Switch x and y

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.

Hence, the correct option is C.

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Answer:

[tex]1051 .55 {mm}^{2} [/tex]

Step-by-step explanation:

Find the area of the square - area of 4 sectors

We'll use the formula to find one sector area

[tex]a = \frac{1}{2} \times {r}^{2} \times x[/tex]

where r is the radius of one sector and x is the angle in radians

Since each angle is in a square, the angle of the sectors is 90 degrees.

Convert degrees to radians

[tex]90 = \frac{1}{2} \pi \: rad[/tex]

The radius of one sector is given by 70mm/2=35mm

One sector area:

[tex] \frac{1}{2} \times {35}^{2} \times \frac{1}{2} \pi = 306.25\pi[/tex]

Area of all 4 sectors:

[tex]4 \times 306.25\pi = 1225\pi[/tex]

Area of the square:

[tex]70 \times 70 = 4900[/tex]

Hence, Area of square - 4 Sectors:

[tex]4900 - 1225\pi = 1051.55 {mm}^{2} (2dp)[/tex]

Answer:

1053.50 mm^2

Explanation:

first calculate the area of square ABCD

area of ABCD = AB × AB

= 70 × 70 = 4900 mm^2

if you look closely, there are 4 quater-circles with radius (AB/2 = 35 mm) and their center A,B,C and D.

now

area of any one quater circle =( pi × r^2 )/4

area of 4 quater circle =(pi × r^2)

where, pi = 3.14 and r = radius of quater circle

area of 4 quater-circle = (3.14 × 35^2)= 3846.50 mm^2

hence area of shaded region = area of square - area of 4 quater circles

= 4900 - 3846.50

=1053.50 mm^2

The amount of Canadian dollar that can be exchanged with NC. 45000 is; 533.69 canadian dollar

We are told that;

NC. 200 = 2.45 Australian dollar

8116 Australian dollar = 8152 canadian dollar

Thus;

NC per Australian dollar = 200/2.45 NC/AUS Dollar

Thus;

200/2.45 NC = 1 Australian dollar

8116/8152 Australian dollar = 1 canadian dollar

Since 1 Australian dollar = 200/2.45 NC , then

8116/8152 Australian dollar = 8116/8152 * 200/2.45

⇒ 81.272 NC

Thus;

81.272 NC = 1 canadian dollar

Then; NC.45000 = 45000/81.272  = 533.69 Canadian dollar

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Answer:

Theoretical Probability: 33%

Experimental Probability: 25%

Which is greater?: Theoretical

Step-by-step explanation:

If two out of the six sections are labeled as 2, you'd have a theoretical probability of [tex]\frac{1}{3}[/tex] or 33% of winning.

Based on Stacy's experiment results, the pointer landed on a winning spin 30 out of the 120 times it was spun. This makes the experimental probability [tex]\frac{1}{4}[/tex] or 25% of winning.

In this scenario, the theoretical probability is greater than the experimental probability.

Hope this helps~!

Answer:

it would take 3/5 of an hour or 0.6 as a decimal

Step-by-step explanation:

3 3/4 divided by 2 1/4 is 3/5 or 0.6

Hope this helped!

Answer:

it would take 3/5 of an hour or 0.6 as a decimal

Step-by-step explanation:

3 3/4 divided by 2 1/4 is 3/5 or 0.6

Answer:

7(x-1)

Step-by-step explanation:

If you factor out 7 from each term,

you end up with 7([tex]\frac{7x}{7} -\frac{7}{7}[/tex])

or 7(x-1)

Answer: 13

Step-by-step explanation:First, based on the data, find the probability of a water cooler being a student's first choice of additions to the lunchroom.

Robert has surveyed 10+7+4+5=26students.

7 of these students ranked a water cooler as their first choice.

So, the probability of a water cooler being a student's first choice of additions to the lunchroom is

7

26

.

You can estimate how many of the next 50 students surveyed will rank a water cooler as their first choice by assuming that

7

26

of the 50 students will do so. Find

7

26

of 50.

7

26

50=13.461…

Based on the data, about 13 students out of the next 50 surveyed will rank a water cooler as their first choice of additions to the lunchroom.

Complete question :

Ryan is mowing lawns. It takes him an hour to mow one lawn. He has already spent 2 hours mowing lawns today. He can only mow today for a total of 5 hours at most. The given inequality can be used to find x, the number of lawns he can still mow today. Which statement is true? A. Ryan can mow no fewer than 7 additional lawns today. B. Ryan can mow no more than 3 additional lawns today. C. Ryan can mow no more than 7 additional lawns today. D. Ryan can mow no fewer than 3 additional lawns today.

Answer:

B. Ryan can mow no more than 3 additional lawns

Step-by-step explanation:

Given that :

Time taken to now 1 lawn = 1 hour = 60 minutes

Number of hours already spent mowing today = 2

He can mow at most 5 hours mowing today

Find the number of lawn x he can still mow today:

Since 1 lawn takes 1 hour to mow ;

Lawns mowed in 2 hours = 2 lawns

The most number of lawn he can mow today Given that he can only spent at most 5 hours mowing will be (5/1) = 5 lawns

Lawns mowed already + x ≤ 5

2 + x ≤ 5

x ≤ 5 - 2

x ≤ 3

Hence, Ryan can mow no more than 3 additional lawns.

yea yea yea slat whole lotta red red slat yeaaaa

Answer:57.95

Step-by-step explanation:

24.25

16.70

17.00=57.95

Answer:

what 35 minus 42

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: you just multiply 35 bye different percent and obviously more than 50 is too much in less than 10 is too little so just multiply from numbers that you know are close and from 35 to 42 is seven so once you multiply those percent by 35 you have to get seven as your answer

Answer:

Step-by-step explanation:

10 pound of apple Sells and 20 pound of Raspberry sells

Using the statistical formula, the median of the given data-set is 20.5.

It is given that

Number of touchdowns in 10 sessions are:

29, 5, 26, 20, 23, 18, 17, 21, 28, 20

The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.

For the median, let us arrange the given data in ascending order.

5, 17, 18, 20, 20, 21, 23, 26, 28, 29

Number of terms = 10

Median of n terms when n is even is given by:

(n/2^th term+ (n/2 +1)^th term)/2

n/2 th term = 5th term = 20

(n/2+1)th term = 6th term = 21

So median= (20+21)/2 = 20.5

Therefore, the median of the given data-set is 20.5

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Answer:

The range is 24 touchdowns.

The interquartile range is 8 touchdowns.

Step-by-step explanation:

-12kxand up a 2 +1

your welcome

your girl unique

Answer:

[tex]-12kx^2+1[/tex]

Step-by-step explanation:

Given;

k(-3)4x²+1

Solve;

[tex]k\left(-3\right)\cdot \:4x^2+1[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:\left(-3\right)\cdot \:4=-12[/tex]

[tex]=k\left(-12\right)x^2+1[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \:k\left(-12\right)x^2=-k\cdot \:12x^2[/tex]

[tex]=-k\cdot \:12x^2+1[/tex]

[tex]=-12kx^2+1[/tex]

Answer = [tex]-12kx^2+1[/tex]

~Learn with Lenvy~

Answer:

300.2

7505/25=300.2 or300

Answer:

256b^4

Step-by-step explanation:

4b^2*4b16b

4b^2*64b^2

256b^4

Answer:

indictmentindictmentindictmentindictmentindictmentindictment

Step-by-step explanation:

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor. The scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic. The copy will be bigger if the scaling factor is a full number. The duplicate will be smaller if the scaling factor is a fraction.

As it is given that the perimeter of the original figure is 68 feet while the perimeter of the scale drawing is 17 feet. therefore, the scale factor can be written as,

[tex]\rm Scale\ factor = \dfrac{\text{Perimeter of the Scale Drawing}}{\text{Perimeter of the Original Drawing}}[/tex]

[tex]\rm Scale\ factor = \dfrac{17}{68} = \dfrac{1}{4}[/tex]

Hence, the scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].

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Answer:

It’s 1/4

Step-by-step explanation:

Answer:

E. 0.75%

Step-by-step explanation:

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

Answer:

Where is the question???

Answer:

John wanted to buy a toy that cost 13 dollars, he has 5 already and 2 days to make the rest of the money. Let x be the amount of money John has to make each day in order to be able to buy the toy.

Step-by-step explanation:

Hope this helps, please mark brainliest.

If a cab takes the money as a fixed charge of 5 Rupees and then it takes money twice the distance travelled. Then find the how many kilometres Alice travelled if she paid the cab 13 rupees.

1. The Variable here is x

2. 2x + 5 = 13

=> 2x= 8

=> x = 4

Alice travelled 4km

Answer:

7

Step-by-step explanation:

Because the lines are parrell and there is and a line intersecting both, you can say that the angles are interior corresponding angles. Thus you can have an equation 46=6x-2 then 48=6x divide x=7

Answer:

We have two independent events.

A number cube, with 6 possible outcomes.

A spinner, with 3 possible outcomes.

Each element in the combined sample space will be something like:

(outcome of the number cube, outcome of the spinner).

Then the number of possible outcomes in the sample size is equal to the product between the number of outcomes in each event.

Sample space size = 6*3 = 18.

Answer:

The answer is D. With all the 18 options.

Step-by-step explanation:

Answer:114Step-

Step-by-step explanation:

Answer: x = 114Step-by-step explanation:Angle A is equivalent to angle D because of the properties of parallelograms. So we know angle A is 66 degrees. Angles C and B also have the same measure because they are opposite angles. The sum of all four angle measures is 360 degrees. Therefore, you can write this equation:m<A + m<B + m<C + m<D = 360 Step 1) plug in the degree measure of each angle that you know. (I will represent angle C with “x”)66 + m<B + x + 66 = 360(We know that the m<B is the same as m<C, so we can plug in “x” for m<B)66 + x + x + 66 = 360(x + x is the same as 2x)66 + 2x + 66 = 360(66 + 66 = 132)132 + 2x = 360Step 2) solve for x by continuing with this equation: 132 + 2x = 360(Subtract 132 from both sides)2x = 228(Divide by 2 on both sides)x = 228/2(228/2 equals 114)x = 114Check:Add all four angle measures. It should add up to 360.66 + 114 + 114 + 66180 + 114 + 66294 + 66360Yay it worked! FYI: the angles that are across from each other in a parallelogram are always congruent. The sides that are opposite (across from) each other are also congruent. All 4 angles in a parallelogram will add up to 360 degrees. This info will help when you’re solving for the sides or angles of a parallelogram. Good luck!

Answer:

8 red flyers and 8 blue flyers

Step-by-step explanation:

Packs of red flyers = 8

Blue flyers = 4

Jenny realizes that she gave out the same number of red and blue flyers

Find the lowest multiples of 8 and 4

8 = 8, 16, 24, 32

4 = 4, 8, 12, 16

The lowest common multiples of 8 and 4 is 8

Therefore,

The minimum number of flyers of each color is

8 red flyers and 8 blue flyers