What is the range of the function on the graph?
all the real numbers
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers greater than or equal to -3

Answer:

b and c

Step-by-step explanation:

Total number of parts = 3 + 2 = 5 parts

\(each \: part \: = \frac{(540 \div 5)}{2} \: m\)

\( \\ each \: part \: = \frac{108}{2} m \: \\ \\ each \: part \: = 54 \: m\)

Then , the length of this triangle :

\(54 \times 3 \: m\)

\( = 162 \: m\)

Then , the width of this triangle will be :

\(54 \times 2 \: m\)

\(108 \: m\)

∴ The length of this rectangle is 162 m and the width of this rectangle is 108 m .

Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q. You can choose 3 of these 4 letters and arrange them in order in 24 different ways.

To solve this problem, we need to use the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, we need to find the number of permutations that can be made from the letters D, O, G, and Q when we choose 3 of these 4 letters.

The formula for finding the number of permutations is:

n! / (n-r)!

where n is the total number of objects and r is the number of objects we choose.

Using this formula, we can calculate the number of permutations as follows:

4! / (4-3)!

= 4! / 1!

= 4 x 3 x 2 x 1 / 1

= 24

Therefore, we can arrange the chosen 3 letters in 24 different ways.

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The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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Answer:

You can convert -150 degrees to radians by multiplying it by π/180

Explanation:

We want to convert -150 degrees to radians

Note that

1 degree = π/180 radians

Let

-150 degree = x radians

Then

Answer:

7pi/6

Step-by-step explanation:

we use the unit circle and since it is negative we have to use the terminal angle by adding 360 to - 150 and get 210 and we look at the unit circle we get 7pi/6

Answer:

Neither

Step-by-step explanation:

First find the slope for both lines.

m= slope

Line 1: (y2-y1)/(x2-x1)

2-5/4-6

=-3/-2

m=3/2

Line 2: (y2-y1)/(x2-x1)

8-(-1)/2-(-8)

m=9/10

These lines are neither parallel or perpendicular because they don't have the same slope (parallel lines), and they don't have opposite reciprocal slopes either (perpendicular lines).

Answer:

x = 6

Step-by-step explanation:

5 - 4x = -19

-5          -5

-4x = -24

divide both sides by -4

x = 6

to check your work- plug in 6 for x.

Hope this helps!

Also- I am not entirely sure what inverse operations is in terms of algebra but I hope what I did is right!

Answer:

Step-by-step explanation:kytiyfkutfdc

Answer:

Angles that are vertical or across from each other are congruent or equal.

If they are growing at a rate of 25% every day you can expect to have approximately 100 cockroaches in your living room.

Growth rate refers to the rate at which something (such as a population, a quantity, or a value) increases or decreases over a certain period of time.

Assuming that the growth rate is compounded daily, we can calculate the number of cockroaches you will have after three days using the formula for exponential growth:

\(N = N_0(1 + r)^t\)

Where:

N₀ is the initial number of cockroaches (64 in this case)

r is the growth rate (25% or 0.25 in decimal form)

t is the time in days (3 in this case)

N is the number of cockroaches after t days

Plugging in the values, we get:

\(N = 64(1 + 0.25)^3\)

\(N = 64(1.25)^3\)

N = 64(1.5625)

N = 100

Thus, after three days, you can expect to have approximately 100 cockroaches in your living room.

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Answer:

4

Step-by-step explanation:

You can find the slope of two points with the point slope form, \(\frac{y_2-y_1}{x_2-x_1}\)

in this case, y2=8, y1=0, x2=3, x1=1

plug those numbers in

(8-0)/(3-1)

8/2, or 4

Answer:

C

Step-by-step explanation:

Choose C. 2,2,5

semoga membantu

The requried value of the sides of the triangle DEF is DE = 2, DF = 2, and EF = 5.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,

Since Triangle ABC is similar to Triangle DEF,
And  ABC = 1/5 DEF

So,
DE = 1/5 AB ;  DF = 1/5 AC ;  EF = 1/5BC

Put the values in the above expression we get:
DE = 2; DF = 2; EF = 5

Thus, the requried value of the sides of the triangle DEF is DE = 2, DF = 2, and EF = 5.

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Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Answer:

Vertical angles are angles opposite of each other. hope it helps

The probability that X is between 17 and 27 is given as follows:

0.6826.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 22, \sigma = 5\)

The probability that X is between 17 and 27 is the p-value of Z when X = 27 subtracted by the p-value of Z when X = 17, hence:

Z = (27 - 22)/5

Z = 1

Z = 1 has a p-value of 0.8413.

Z = (17 - 22)/5

Z = -1

Z = -1 has a p-value of 0.1587.

0.8413 - 0.1587 = 0.6826.

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The value of the S & P 500 before the open on June 22nd, 2010 is 1,113.20 points.

The percent change points is -1.61%/

The value of the S & P 500 before the open would be higher than the value at the close of June 22nd, 2010. This was because the index declined over the day.

Value before the open of June 22nd, 2010 = value at the close + change

17.89 + 1095.31 = 1,113.20 points

Percentage change = (change in points / points before open) x 100

(-17.89 /1,113.20) x 100 = -1.61%

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Answer: \(\dfrac{11}{36}\)

Step-by-step explanation:

Total outcomes for rolling a pair of six-sided dice n(S)= 6 x 6 =36

Let A be the event that the first die is one and B be the event that the sum of the dice is eight.

A = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)}

P(A)= \(=\dfrac{n(A)}{n(S)}=\dfrac{6}{36}\)

B= {(2,6), (6,2), (3,5), (5, 3), (4,4)}

P(B)= \(=\dfrac{n(B)}{n(S)}=\dfrac{5}{36}\)

A ∩ B = Ф

P(A ∩ B)=0

P(A or B)= P(A)+P(B)+P(A∩ B)

\(=\dfrac{6}{36}+\dfrac{5}{36}+0\\=\dfrac{11}{36}\)

Hence, P(A or B) = \(\dfrac{11}{36}\)

The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.

To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.

The velocity vector is the derivative of the position function r(t):

\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)

\(= (t^2, 2t, 2)\)

The speed of the particle at any given time t is:

|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)

= √(t^4 + 4t^2 + 4)

= √((t^2 + 2)^2)

To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.

distance = ∫[from -1/3 to 9] |v(t)| dt

= ∫[from -1/3 to 9] |t^2 + 2| dt

= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt

= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)

Evaluating the definite integrals:

distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]

= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]

= [1/27 + 2/3] + [729/3 + 18]

= 1/27 + 2/3 + 729/3 + 18

= 1/27 + 18/27 + 729/3 + 18

= (1 + 18 + 729)/27 + 18

= 748/27 + 18

= 27.63 + 18

= 45.63 units (approximately)

Therefore, the particle travels approximately 45.63 units along the path.

To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.

average speed = distance / time

= 45.63 / (28/3)

= 45.63 * (3/28)

= 4.9179 units per unit time (approximately)

The displacement is the straight-line distance between the initial and final positions of the particle.

displacement = |r(9) - r(-1/3)|

= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|

= |(27, 81, 18) - (-1/27, 1/9, -2/3)|

= |(27 + 1/27, 81

= 2781.

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Answer:

I assume you are referring to a rectangular prism with dimensions of 7 feet by 13 feet by 5 feet and you are trying to identify which dimension represents the length, width, and height.

In a rectangular prism, the length is typically considered the longest dimension, while the width and height are interchangeable depending on the orientation of the prism.

So, in this case, it is likely that the 13 feet dimension represents the length, while the 7 feet and 5 feet dimensions represent the width and height (in either order). However, it is important to note that without more context, it is impossible to know for sure which dimension is which.

67-32x= 54-34

Subtract 54-34

you would get 20

67-32x= 20 (subtract 67 from both sides of the equation )

-67            -67

-32x/-32=  -47/-32     (Divide -32  on the both sides )

You get a decimal :

x= 1.46875    

Round this answer:

x= 1.5

Answer:

x = 47/32 or 1.46875 ( 1.5 rounded)

Step-by-step explanation:

1) Simplify 54 - 34 to 20.

67 - 32x = 20.

2) Subtract 67 from both sides.

-32x = 20 - 67.

3) Simplify 20 - 67 to -47.

-32x = -47.

4) Divide both sides by -32.

x = -47/-32.

5)  Two negatives make a positive.

x = 47/32

Answer:

93

Step-by-step explanation:

I think if the average is 93 or more, she has to get a 93% to get A.

Answer:

1980

Step-by-step explanation:

It’s right, trust me

The cirfumference of a circle is:

Use the formula above and the given data to find the radius:

Answer:

4000

Step-by-step explanation:

140$ = 3.5 , divide by 3.5 on both sides

1% = 40$

100% = 4000$

Answer:

\(\huge\boxed{\$4,000}\)

Step-by-step explanation:

\(p\%=\dfrac{p}{100}\\\\3.5\%=\dfrac{3.5}{100}=0.035\\\\3.5\%\ \text{of}\ x\ \text{is}\ \$140\\\\0.035\cdot x=140\qquad\text{divide both sides by 0.035}\\\\\dfrac{0.035\cdot x}{0.035}=\dfrac{140}{0.035}\\\\x=4,000\)

Answer:

J = $1740.99

I = $1302.52

Step-by-step explanation:

1) Write Equations

I + J = 3043.51

I + 438.47 = J

Where I = amount paid by Isabella and J = amount paid by Jesus

Thus by substituting I + 438.47 for J the equation becomes,

I + I + 438.47 = 3043.51

Combining like terms gives the final equation

2I + 438.47 = 3043.51

2) Solve the final Equation to find how much Isabella paid

2I + 438.47 = 3043.51

2I + 438.47 - 438.47 = 3043.51 - 438.47

2I = 2605.04

2I/2 = 2605.04/2

I = 1302.52

3) Then use the Third Equation to solve how much Jesus paid

I + 438.47 = J

(1302.52) + 438.47 = J

1740.99 = J

Answer:

ok

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

60/3=20

1 shirt costs $20 sooo...

20x12=240

$240

can i get branilest for first answer