What is the surface area of the box formed by the pattern below?
2 cm
3 cm
2 cm
6 cm
6 cm
3 cm
3 cm
3 cm
2 cm

Answer:

  (c)  From the starting line, Romi ran 2 miles in 20 minutes, rested for 20 minutes, jogged 2 more miles away from the starting line in 40 minutes, rested for 20 minutes, and jogged the last 4 miles back to the starting line.

Step-by-step explanation:

You want the description that fits the attached graph of the race run by Romi and her friends.

The graph shows distance increasing for 20 minutes to a distance of 2 miles. 20 minutes later, it shows distance increasing again by 2 miles to a total distance of 4 miles. Again, after 20 minutes, the distance from the starting line is shown decreasing by 4 miles back to zero.

The best description is choice C:

From the starting line, Romi ran 2 miles in 20 minutes, rested for 20 minutes, jogged 2 more miles away from the starting line in 40 minutes, rested for 20 minutes, and jogged the last 4 miles back to the starting line.

__

The graph was drawn using Desmos.

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The best description of the graph is that Romi ran 2 miles in 20 minutes, rested for 20 minutes, ran another 2 miles in 40 minutes, rested for 20 minutes, and then ran 4 miles back to the start. This corresponds exactly to the line segments depicted on the graph.

The description that best matches the graph of Romi's terrain race is: from the starting line, Romi ran 2 miles in 20 minutes, rested for 20 minutes, jogged 2 more miles away from the starting line in 40 minutes, rested for 20 minutes, and jogged the last 4 miles back to the starting line. This is consistent with the line segments on the graph that correspond to the distance and time of each part of the race.

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The correct calculation after correcting the error in finding the circumference is 9π

Given that we have a circle of diameter 9 inches

The circumference iis the product of the diameter and pi

So, the step in the question is incorrect because the diameter is taken as the radius

Having mentioned that, the correct solution is

C = π(9)

So, we have

C = 9π

So, the circumference is 9π

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Answer:

a)

Step-by-step explanation:

a) The probability of drawing a green ball on any given draw is 30/50 (since there are 30 green balls out of a total of 50 balls). Since the ball is replace....

The number of students surveyed speak Spanish or Haitian Creole at home are 42.

What is percentage?

Percentage is a part of a whole.

Let the number of students who speak Spanish be S and the number of students who speak Haitian Creole be H. We can set up the following equations based on the given information:

24% of 175 students speak Spanish

So, S = 0.24 x 175

And 12% of 175 students speak Haitian Creole

So, H = 0.12 x 175

We need to obtain the number of students who speak either Spanish or Haitian Creole,

So, S + H - (number of students who speak both languages).

percentage who speak both languages = 100% - (24% + 12%) = 64%

So, the number of students who speak both languages is 0.64 x 175 = 112

Now, we are obtaining the number of students who speak either Spanish or Haitian Creole:

S + H - (number of students who speak both languages) = (0.24 x 175) + (0.12 x 175) - 112

= 42

Therefore, the answer is B) 42, which represents the number of students who speak Spanish or Haitian Creole at home.

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The expected value of the raffle ticket is $0.98.

Let's first calculate the probability of winning each prize.

Thanksgiving dinner: There is only one prize, so the probability of winning is 1/122.

Pumpkin pies: There are four prizes, so the probability of winning is 4/122.

Turkey sandwiches: There are ten prizes, so the probability of winning is 10/122.

Now, let's calculate the expected value:

Expected value = (probability of winning Thanksgiving dinner * value of Thanksgiving dinner) + (probability of winning pumpkin pie * value of pumpkin pie) + (probability of winning turkey sandwich * value of turkey sandwich)

Expected value = (1/122 * 120) + (4/122 * 25) + (10/122 * 6)

Expected value = 0.98

Therefore, the expected value of the raffle ticket is $0.98.

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the answer would be -10.5

you just divide 42 by -4

Answer:

The correct answer is: y = 3x + 6

According to the given data the unit vector in the same direction as v is

u = (-5/ sqrt(106))i - (9/ sqrt(106))j.

A unit vector is a vector that has a length or magnitude of 1. In other words, a unit vector is a vector that has been normalized, or scaled down to have a length of 1 while still pointing in the same direction as the original vector.

To find the unit vector in the same direction as v = -5i - 9j, we first need to calculate its magnitude.

The magnitude of v is given by:

|v| = sqrt((-5)^2 + (-9)^2) = sqrt(25 + 81) = sqrt(106)

Now we can find the unit vector in the same direction as v by dividing v by its magnitude:

u = v / |v| = (-5i - 9j) / sqrt(106)

Therefore, the unit vector in the same direction as v is:

u = (-5/sqrt(106))i - (9/sqrt(106))j

Note that the unit vector has a magnitude of 1 and points in the same direction as v.

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The quotient results from the division is 2x²-8.

We have,

(6x³ - 6x² -24x + 24) / (3x-3)

Performing the division as

                                          3x-3 | 6x³ - 6x² -24x + 24 | 2x² - 8

                                                     6x³ - 6x²

                                               _____________

                                                                0 -24x + 24

                                                                   -24x + 24

                                                                 ____________

                                                                            0

Thus, the quotient is 2x²-8.

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Answer: D perfect cube

Step-by-step explanation: same number multiplied 3 times

Answer:

-22

Step-by-step explanation:

The expression is b - 5c.

when b = -2 and c = 4,

we get:

(−2)−5(4)

＝−2−20

＝−22

Answer:

-22

Step-by-step explanation:

b - 5c                         b = -2 and c = 4

-2 - 5(4) = -2 - 20 = - 22

So, the answer is -22

The value of source of illumination (I) is 32 luxes when the distance d = 4 m.

The brightness of illumination that is denoted by I of ab object varies inversely as the square of of its distance which is denoted by variable 'd'.

So, I ∝ 1/d²

Therefore, I = k/d².......... (i), where k is a non zero proportionality constant.

It is given that if the source of illumination I = 18 luxes when d = 4 m.

Substituting I = 18 and d = 4 in the equation (i) we get,

18 = k/4²

k/16 = 18

k = 18*16 = 288

Now we have to find the value of I when d = 3m.

Now the relation becomes. I = 288/d²

Substituting the value d = 3 in equation (ii) we get,

I = 288/3² = 288/9 = 32 Iuxes.

Hence the source of illumination now is 32 Iuxes.

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Answer: -60/61

Step-by-step explanation:

Use pythagorean to solve for x first

61²=11²+x²

x=-60   It's negative because x in the 3rd quadrant is neg

so

cos∅=-60/61

a. The store should charge $90

b. The first revenue model results in a greater maximum monthly revenue.

a. We have

R(n) = (120 - 6n)(80 + 8n)

using product ruile

δr/δn = (120 - 6n)(8) + (80 + 8n)(-6)

δr/δn = 960 - 48n - 480 - 48n

δr/δn = -96n + 480

Now, we set the derivative to zero and solve for n:

0 = -96n + 480

96n = 480

n = 5

we put n as 5 in the equation

120 - 6x 5

= 120 - 30

= 90

To maximize the revenue then $90 is charged.

b. For the 4 dollar decrease in price R'(n) = (120 - 4n)(80 + 5n)

Using the product rule, we have:

dR'/dn = (120 - 4n)(5) + (80 + 5n)(-4)

this is = 600 - 20n - 320 - 20n

= -40n + 280

equate to 0

-40n + 280 = 0

n = 7

The new price would then be

120 - 4 * 7

= 120 - 28

= 92 dollars

(120 - 65)(80 + 85)

= 90(120)

= $10,800

(120 - 47)(80 + 57)

= 92(115)

= $10,580

The first revenue model results in a greater maximum monthly revenue.

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Answer:

Step-by-step explanation:

A = P * (1 + r/n)^(n*t

The function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is A = 750(1.0002)^4t. (in dollars)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

For this case, we're given that:

Initial amount Christina deposits = P = $750

Rate of interest = 2% compounding quarterly

Time = t years

Rate of interest is compounding quarterly.

Each year has 4 quarters.

Quarterly interest rate compounding quarterly = 2%.

t years has 4t quarters = T

Thus, we get the final amount in Christina’s account as

A = P * (1 + r/n)^(n*t)

A = 750(1 + 0.02/100)^4t

A = 750(1.0002)^4t

Thus, the function that gives the amount of money in dollars, J(t), in Christina’s account t years after the initial deposit is A = 750(1.0002)^4t (in dollars)

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94.5 cubic cm is the volume of the rectangular prism.

The following formula determines a rectangular prism's volume V:

L x W x H = V

where w stands for width, l for length, and h for height.

Inputting the values provided yields:

V is equal to 4.5cm × 3.5cm x 6 cm.

V= 94.5 cubic centimeters

When we round to the nearest half, we obtain:

V = 94.5 cubic cm

Hence, the rectangular prism has a volume of around 94.5 cubic cm.

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Answer:i think for p its 16 and for A is 64

i just did  8 X 8 = 64 for A and for p i did 8 + 8 = 16  

Step-by-step explanation:

The amount of the loan was $1600.

Given that the Luz an Amity owe $600 interest on a loan after 5 years. The rate of simple interest was 7.5%. We need to find the amount of the loan.

So,

SI = principal × rate × time / 100

Therefore,

600 = principal × 5 × 7.5 / 100

60000 = principal × 37.5

Principal = 60000 / 37.5

Principal = 1600

Hence the amount of the loan was $1600.

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Answer:

mark me brilliant

Step-by-step explanation:

We can use the given formula to solve for the length of the side of the square-base container:

Volume = side^2 x height

where side is the length of the side of the square base, and height is the height of the container.

We are given that the volume of the container is 3,456 cm³. However, we do not know the height of the container.

To find the length of the side of the square base, we need to first determine the height of the container. We can do this by rearranging the formula:

height = Volume / (side^2)

Plugging in the values we know:

height = 3456 cm³ / (side^2)

We know that the container has a square base, so the length of each side of the base is the same. Therefore, we can write:

Volume = side^2 x side x height

Substituting the expression we found for height:

Volume = side^2 x side x (3456 cm³ / side^2)

Simplifying:

Volume = 3456 cm³ = side^3

Taking the cube root of both sides:

side = ∛3456 cm = 18 cm

Therefore, the length of the side of the square-base container is 18 cm.

Answer:

1 <= x

Step-by-step explanation:

Domain = x values

It can be 10 or below 10.

10 >= -7x + 3

7 >= -7x

/ -7.  /-7

1 <= x

Sign switched since divided by negative #. I'm in calc 2 so just double-check this. Kinda forget how to do math like this at times.

The quantity of medication that Mrs Monroe would be given = 60 mg of the medication.

The weight of Mrs Monroe = 165 Ib

To convert pounds (lb) to kg = 165/2.2 = 75kg

If 0.8 mg = 1 kg

X mg. = 75 kg

Make X the subject of formula;

X = 75×0.8/1

= 60 mg

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Fatima lowered the setting down by 6.1 degrees Celsius.

We have,

Fatima lowered the setting of her aircon from 28.6 degrees Celsius to 28.6 - 3.5 = 25.1 degree Celsius at 11:30 am.

After an hour, she set it to 19 degrees Celsius, so she lowered the setting down by 25.1 - 19 = 6.1 degrees Celsius.

To get the answer, we simply subtracted the final temperature (19 degree Celsius) from the temperature at 11:30 am (25.1 degrees Celsius) to find the difference, which is the amount that the setting was lowered.

Therefore,

Fatima lowered the setting down by 6.1 degrees Celsius.

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The domain is all real numbers and the range is greater than zero. Then the correct option is A.

Given that:

Function, y = 1/2 · (2)ˣ

The domain means all the possible values of x and the range means all the possible values of y.

The function is an exponential function, then the domain of the function will be all real numbers.

The value of the exponential function is always positive. Then the range will be greater than zero.

The domain is all real numbers and the range is greater than zero. Then the correct option is A.

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Answer: 0.9360

Step-by-step explanation: To find the probability that at least one of the three people has been vaccinated, we need to find the probability that none of them have been vaccinated and then subtract that from 1.

The probability that a person has not been vaccinated is 1 - 0.6 = 0.4. Therefore, the probability that all three people have not been vaccinated is:

P(no one vaccinated) = 0.4 × 0.4 × 0.4 = 0.064

So, the probability that at least one of the three people has been vaccinated is:

P(at least one vaccinated) = 1 - P(no one vaccinated) = 1 - 0.064 = 0.936

Therefore, the probability that at least one of the three people has been vaccinated is 0.936 (to 4 decimal places).

Answer: 0.9360

Answer:

b.) (3x, y)

d.) (6x, y)

e.) (x+2, 2y)

c.) (5x, 5y)

All these transformation rules involve only dilation, reflection or translation, which are the basic similarity transformations.

An exponential model of the form that represents the amount of ibuprofen in the patients bloodstream in t hours after the medicine is administered is [tex]P(t) = 800e^{\frac{t}{1.8} }[/tex].

The amount of ibuprofen that would be in the patients bloodstream after he is given a second dose of 800 mg in 4 hr after the first dose is 7382.25 mg.

In Mathematics, the future value of a physical substance based on its half-life can be determined or calculated by using this exponential function:

[tex]P(t) = P_{0}e^{\frac{t}{T} }[/tex]

Where:

Based on the information provided above, the required exponential function is given by;

[tex]P(t) = 800e^{\frac{t}{1.8} }[/tex]

After 4 hours, we have;

[tex]P(4) = 800e^{\frac{4}{1.8} }\\\\P(4) = 800e^{2.2222}[/tex]

P(4) = 7382.25 mg

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Answer:  {2, 4}

Step-by-step explanation:

You need to find 2 numbers that multply to +8(last number) and add to -6(middle number)

-4 and -2 satisfy this rule

place in parentheses

(x-4)(x-2)  set both = 0 and solve

x-4 = 0             x-2 = 0

x=4                 x=2