Question 1 (2 points)
Which box-and-whisker plot represents the data set?

10, 5, 8, 14, 21, 7, 13, 17, 17

Answer:

-5=0

Step-by-step explanation:

g(4)=8-8-5=-5 you substitute 4 into x

-5=0

Answer:

x^2+2x-6, or C

Step-by-step explanation:

We want to combine the values of both f(x) and g(x) into one equation.

We could write this as 2x+1+x^2-7

Simplified- x^2+2x-6, or C

Step-by-step explanation:

in my opinion

total area = the width × the length

= (3x-4)(-8x+2)

= -24x²+6x+32x -8

= -24x² + 38x -8

[tex]16x^2-25\\\\=(4x)^2-5^2\\\\=(4x+5)(4x-5)[/tex]

Answer:

abce

Step-by-step explanation

correct

The circumference of the circle is 72cm.

[tex]Arc length = 2\pi r(\frac{x}{360} )[/tex]

where

r is the radius of the circle

x is the central angle of the arc

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as

circumference of the circle = 2πr

According to the given question we have

central angle of the arc, x = 15 degrees

Arc length = 3 cm

Let r be the radius of the given circle.

Then,

Arc length = 2πr[tex](\frac{15}{360} )[/tex]

⇒ 3 ×[tex]\frac{360}{15}[/tex]  = circumference of the circle   ( circumference or circle =2πr)

⇒ circumference of the circle = 72 cm

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Answer:

32.5

Step-by-step explanation:

Take the 2.30 and multiply it by 7. Then take 4.10 and multiply it by 4. From there you add the answers together.

Answer:

t=15

Step-by-step explanation:

t/3 + 3/3 = 6

combine fractions w/ common denominator:

t+3/3 = 6

multiply both sides by denominator (3):

note: the two threes from 3 x t+3/3 cancel each other out

t+3=3x6

t+3=18

subtract 3 from both sides and you get 15

t=15

hope this helps :)

Answer:

see explanation

Step-by-step explanation:

The tangent segments are equal so you set them equal to each other and solve.

7)    3x-6 = x + 10                                    8) 4x + 2 = 2x + 8

Answer:

-3+15i

Step-by-step explanation:

Apply complex arithmetic rule: [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]

[tex]\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i[/tex]

-3 * 3 -3 (-2) = -3

[tex]-3+15i[/tex]

[tex]v = \frac{4}{3} \pi \: {r}^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times \pi \times ({ \frac{60}{2} })^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times \pi \times {30}^{3} \\ [/tex]

[tex]v = \frac{27000 \times 4}{3} \pi \\ [/tex]

[tex]v = 900 \times 4\pi[/tex]

[tex]v = 3600\pi \: \: \: {ft}^{3} [/tex]

Answer:

Step-by-step explanation:

shop a=115p

shop b=106p

shop b better value as its cheaper

Answer:

The answer is D. x=-1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Divide both sides by 10.

2. Add 4 to both sides.

3. Subtract 10x from both sides.

4. Divide both sides by -8.

The answer is D.

Answer:

~ 1017.4

Step-by-step explanation:

volume of a cone  1/3 pi r^2 h

1/3 pi * 9^2 * 12 = 1017.8

Answer:

neither

Step-by-step explanation:

complementary means the angles should add up to 90∘ but here in this case they add up to 190.

Supplementary means the angles add up to 180∘ but again in this case they don't.

which means the answer only has one choice.

Answer:

33 chocolates

Step-by-step explanation:

3 chocolates times 5 days = 15 chocolates

48 chocolates minus 15 chocolates = 33 chocolates

Answer:

n=1.3125/ if the (3/4) was negative the anwser would be -1.3125

Step-by-step explanation:

Answer:

n = [tex]5\frac{1}{4}[/tex]

----------------------------------------------------------------------------------------------------------

First, evaluate 3/4 + 1 7/8 without including whole numbers for now.[tex]3/4 + 7/8 =~?[/tex]

When dealing with unequal fraction denominators, find the greatest common factor of both numbers to make the denominators match.

[tex]GCF(3,4) = 2\\GCF(7, 8) = 1\\\\\frac{3 * 2}{4 * 2} = \frac{6}{8}\\\\\frac{7 * 1}{8 * 1} = \frac{7}{8}[/tex]

Next, add these two numbers together.

[tex]\frac{6}{8} + \frac{7}{8} = \frac{13}{8}[/tex]

Oh no! It looks like we have an improper fraction. To solve this, count each time the numerator passes the denominator and count that as a whole number. Like 9/8 is 1 1/8 because the numerator went over the denominator 1 time, counting the extra unit fraction.

[tex]\frac{13}{8} = 1\frac{5}{8}[/tex]

Now, add the whole numbers.

[tex]1 + 1 + \frac{5}{8} = 2\frac{5}{8}[/tex]

Last not not least, divide by one half. Since 2 5/8 is equal to 21/8, convert it to this fraction.

[tex]\frac{21}{8} / \frac{1}{2}[/tex]

Use the 2 in 1/2 and the 1 in 1/2, then multiply 2 by 21, and 8 by 1

[tex]\frac{21*2}{8*1} = \frac{42}{8}[/tex]

Finally, simplify 42/8

if 8 × 5 is 40 you can tell the number will be close to 40

[tex]\frac{42}{8} = 5\frac{1}{4}[/tex]

That said, the answer is [tex]\frac{42}{8}[/tex] and also [tex]5\frac{1}{4}[/tex]

The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.

From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.

The length will be calculated thus:

Cos 35° = 153/AC.

AC = 153/cos 35°

AC = 153/0.819

AC = 186.78 feet.

Therefore, the length is 186.78 feet.

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Step-by-step explanation:

reference attachment ..............

Answer:

35

Step-by-step explanation:

5*³√8-（-4）*√16+9=5*2+4*4+9=35

Answer:

B. (6,2), (4,8), (2,2)

Step-by-step explanation:

When it reflects over the y-axis (the vertical line) it is going to look the exact same just in the box on the top right. Instead of negatives in the coordinate points they are going to be positive. The only one that does this is B.

Ans: B. (6,2), (4,8), (2,2)

Answer:

A) The

B) Curious

C) Young

D) Science

E) Student

F) Who

G) Sat

H) Up

I) All
J) Night

K) Trying

L) To

M) Figure

N) Out

O) Where

P) The

Q) Sun

R) Goes

S) Until

T) It

U) Finally

V) Dawned

W) On

X) Him

Answer:

[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]

Step-by-step explanation:

From the graph we can see that

Diameter = 6 units

=> Radius = 3 units and centre is at (-3,7)

=> Equation is Circle with centre (-3,7) and radius of 3 units will be

[tex] = > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2} [/tex]

[tex] = > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9[/tex]

[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]

An economic boom and bust occurred in the United States during the 1920s, which is also known as the Roaring Twenties.

This period was marked by a significant increase in consumer spending, economic growth, and technological innovation, particularly in the areas of automobiles, radio, and electricity. However, the boom came to an abrupt end with the stock market crash of 1929, which triggered the Great Depression of the 1930s.

The economic boom of the 1920s in the United States was a period of rapid economic growth and expansion, characterized by a surge in consumer spending, increased industrial production, and the expansion of credit. This period was fueled by a number of factors, including technological innovation, such as the widespread adoption of the automobile and the growth of the aviation industry, as well as the widespread availability of electricity.

The 1920s also saw significant changes in the social and cultural landscape of the United States, with the rise of a new consumer culture   that emphasized leisure and entertainment. The entertainment industry grew rapidly during this time, with the rise of radio broadcasting and the popularity of Hollywood films.

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Answer:

m = 39°

Step-by-step explanation:

angles on the circumference of the circle subtended by the same arc are congruent.

∠ BDC = ∠ BAC = 33° ( both subtended by arc BC )

then ∠ ADC = 36° + 33° = 69°

Opposite angles of a cyclic quadrilateral sum to 180° , so

∠ ABC = 180° - 69° = 111°

then

m + 72° = 111° ( subtract 72° from both sides )

m = 39°

Slope = change in y / change in x

slope = (9 - -5) / ( 6-0)

Slope = 14/6

Divide by 2

Slope = 7/3

Answer: B. 7/3

Answer:

1.3

Step-by-step explanation:

⅓ put into to decimal form is a repeating decimal

Answer:

133.3333333%

Step-by-step explanation:

1 = 1.00 = 100%

1/3 = 0.3333333 = 33.33333333%

Note that the extra 3s are for repeating decimals.

Answer:

665280

Step-by-step explanation:

12x11x10x9x8x7=665280

There are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.

Probability is defined as the branch of mathematics that deals with the numerical description of how likely an event is to occur, or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, roughly where 0 indicates the improbability of the event and 1 indicates certainty.

It is based on the probable probability of something happening while the theoretical probability is based on the logic behind the probability. For example, if a coin is tossed, the theoretical probability of getting a head is ½.

In above example,

There are 6 policemen

Number of coaches assigned are 12

So, the number of ways are 12x11x10x9x8x7=665280 ways

Thus, there are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.

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