A soccer team orders 15 wooden pedestals to mount their brass trophies on. The design of each pedestal is shown below. The team is charged $0.12 per cubic inch of wood. What is the total cost of the order, rounded to the nearest dollar?

Answer:

21 unit square

Step-by-step explanation:

First you want to find the length and width of the rectangle using the distance formula:

d=√(x2-x1)²+(y2-y1)²

AB=√(6-3)²+ (-2 - -2)²

AB=√3² + 0

AB=√9

AB=3

BC=√(6-6)²+ (5 - -2)²

BC=√0 + 7²

BC=√49

BC=7

We can find the area by multiplying these two distances together:

A=(3)(7)

A=21 units square.

Hope it helped...... And plz mark BRAINLIEST

Tysm

The given values are given below:

Distribute and combine like terms: -g + 6 + 2g = -4g - 4.

Then, simplify g = -4g - 10.

Finally, solve for g: g = -2.

To solve this, we have to distribute and combine like terms: 2.4 - 1.2x = 20.5 - 3x - 10.

Simplify 1.8x = 12.1.

Solve for x: x = 6.72.

Distribute and simplify: -2 + 3n = n/3 + 2n/3 + 6.

Combine like terms: 2n/3 = 8.

Solve for n: n = 12.

Finally, to get the answer, the next step would be to distribute and simplify: x - 1 + 3x = -3x - 12.

Combine like terms: 7x = -11. Solve for x: x = -11/7.

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Answer:

The answer should be $3.125 or $3.13 rounded.

Step-by-step explanation:

First I divided 1.25 by 100 because 1 meter equals 100 centimeters.

1.25 ÷ 100 = 0.0125

Now that we know that it costs 0.0125 for 1 centimeter we multiply it by 250.

0.0125 * 250 = 3.125

Since it says to round to the nearest cent, the answer should be 3.13

Hope this helps! :)

Answer:

$25.40

Step-by-step explanation:

1) Calculating tip

$20 x (20/100) = $4

2) Calculating sales tax

$20 x (7/100) = $1.4

3) Calculating Total cost of meal

$20 + $4 + $1.4 = $25.4

Answer:

102°

Step-by-step explanation:

that's the answer because 40+ 38 = 78. then 180- 78 = 102. Remember that in tringles, all three angles should add up to 180°

Answer:

A ≈ 75 in²

Step-by-step explanation:

the area (A) of the circle is calculated as

A = πr² ( r is the radius )

here r = 5 and using 3 for π , then

A = 3 × 5² = 3 × 25 = 75 in²

Answer:

75 in^2

Step-by-step explanation:

Since the formula to find the area of a circle is already up, we can use that to solve the question.

The image gave us the value of the radius right away, so the question will be a lot easier to solve.

--> The reason why the radius is needed is that the 'r' in the formula means radius. We need the value of the radius to find the area of the circle.

Now, we can just replace r with 5.

--> A = 25 \(\pi\)

Since the question told us to replace \(\pi\) with 3, we can do that.

--> A = 25 x 3

--> A = 75

We can conclude that the area of the circle is 75 in^2.

Answer:

Multiply

Step-by-step explanation:

You need to multiply the number by 10 or 100 or 1000 according to the number. but after multiplying it should become a whole digit. And you also need to multiply 10 or 100 or 1000 in the dividend.

Hope this has helped you.

Answer:

Peste de angolo, yawa ka ano, imo, lenguahe you pathetic yawa ka translate onion in the body of the Government agency or office wherein in a way that you may not have 3173 with the Philippines as they will not form the basis of the Government agency or office wherein you can also use the information to help you to get to your local area by using the information provided by the stator and other information centres in St Albans and you will be required for the information to help with your

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

(-3x -3 - 24x/(x²-5))

Step-by-step explanation:

(x - 3x³ - 3x² - 10x + 15) / p = x² - 5

(-3x³ - 3x² - 9x + 15) / p = x² - 5

p = (-3x³ - 3x² - 9x + 15)/(x² - 5) = -3x - 3 - 24x/(x² - 5)

- -3x³ + 15x

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

0 - 3x² - 24x + 15

- - 3x² + 15

‐-----------------------------------

0 - 24x + 0

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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The interior angle of a parallelogram is proportional to the measure of another angle with a ratio of 0.25:1.

A parallelogram is a four-sided flat shape that has opposite sides that are parallel and equal in length. The sum of the interior angles of a parallelogram is equal to 360 degrees. If the measure of one interior angle is 0.25 times the measure of another angle, this means that there is a proportionate relationship between the two angles. To find the measure of the second angle, we can use the formula:

Angle 2 = (Angle 1) / 0.25

For example, if Angle 1 is 100 degrees, then Angle 2 is 100 / 0.25 = 400 degrees. This means that if one angle measures 100 degrees, the other angle measures 400 degrees. The sum of the two angles is 500 degrees, which is still less than the total sum of interior angles in a parallelogram, which is 360 degrees.

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Answer:

x=8,RS=12*8-32=64,PR=6*8+16=64

Step-by-step explanation:

PR=PS

6x+16=12x-32

6x=48

x=8

Answer:

Step-by-step explanation:

Answer:

if use celebrates help to advertise cosmetic product than it is nothing new.

if we create cosmetic limit edition advertise than we will watch the profit grow high

if a friend of hers can advertise cosmetic products on her site than we could advertise them in our brochure

if we use a communication channels to advertise our cosmetic product than we might make it popular enough to sell them a bunch.

(4 samples)

I hope it helps.

Answer:

1. If you use this lotion, then your skin will glow

2. If you put this makeup in your face, then you will look stunning.

3. If you use this lip gloss, then your lip will not become dry.

4. If you use this soap, then germs in your body will remove.

5. If you use this hair product, then your hair will become bouncy.

Step-by-step explanation:

Hope it helps:)

Answer:

13.25

Step-by-step explanation:

Answer:

a)16      (2*2*2*2= 16)

b)16  (-4*-4-16)(-+-=+)

c)500 (5*5*5=125        125*4=500)

d)0.49  (0.7*07)

e)480  (4^=16     9^=81  121^0=1          16+81 -1 =96     96*5=480)

f)5^2  or 25 (a^m/ a^n=a^m-n)

g) 11^14 (reason same as the f one)

h)8.20

i) 4(-4*16=64)

j)900

The probability that at least 4 buyers would prefer green is 0.9963.

The researcher wishes to conduct a study of the color preferences of new car buyers.

Suppose that 30% of this population prefers the color green.

If 16 buyers are randomly selected, the probability that at least 4 buyers would prefer green is 0.9963.

Let X be the number of new car buyers who prefer the color green.

X follows a binomial distribution with n = 16 and p = 0.30.

The probability of at least 4 buyers preferring green is:

P(X ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6) + ... + P(X = 16)

Using the binomial probability formula, P(X = k) = (n C k) pk qn-k

where q = 1 - p = 1 - 0.30 = 0.70

Then: P(X ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6) + ... + P(X = 16)

P(X ≥ 4) = [16 C 4](0.30)4(0.70)12 + [16 C 5](0.30)5(0.70)11 + [16 C 6](0.30)6(0.70)10 + ... + [16 C 16](0.30)16(0.70)0= 0.9963

Therefore, the probability that at least 4 buyers would prefer green is 0.9963.

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Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

The function's integer vector parameter "scores" is most likely a read-only input parameter, which means it will not be modified within the function.

In programming, it is common for functions to have parameters that are used as inputs to the function. These parameters can either be modified within the function (called "output" or "in-out" parameters), or they can be read-only inputs that are not modified within the function. Based on the information provided in the question, it seems that the "scores" parameter falls into the latter category, meaning that it will have a few elements and will not be modified within the function.

In order to fully understand the role of the "scores" parameter in the function, we would need to see the code and understand the context in which it is used. However, based on the information provided in the question, we can make some assumptions about how the parameter is likely to be used. If the function is designed to perform some sort of calculation or analysis on the input data, then it is likely that the "scores" parameter is used as an input to that calculation. In this case, the function may need to access the values in the "scores" vector in order to perform some operation on them, but it would not modify the vector itself. On the other hand, if the function is designed to modify the input data in some way, then it is possible that the "scores" parameter could be modified within the function. However, based on the wording of the question ("the function will not change score"), it seems that this is not the case.

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Answer:

A,C, & D

Step-by-step explanation:

Answer:

Step-by-step explanation:

B,A, and C

Answer:

3:2

Step-by-step explanation:

First, we put 45 females to 30 males into a ratio:

45:30

Now we find the GCF of both 45 and 30 which is 15.

Since it's asking for the simplest form, we would divide 15 on both sides:

45/15 : 30/15

And we end up with our final answer as 3:2

Hope this helps! :)

To determine the probability that there will be an equal number of boys and girls sitting at the front of the van, we need to calculate the number of favorable outcomes (where one boy and one girl are selected) and divide it by the total number of possible outcomes.

The probability is approximately 53.07% (option b).

Explanation:

There are four boys and three girls, making a total of seven people. To select two people to sit at the front, we have a total of 7 choose 2 = 21 possible outcomes.

To calculate the number of favorable outcomes, we need to consider that we can choose one boy out of four and one girl out of three. This gives us a total of 4 choose 1 * 3 choose 1 = 12 favorable outcomes.

The probability is then given by favorable outcomes divided by total outcomes:

Probability = (Number of favorable outcomes) / (Number of total outcomes) = 12 / 21 ≈ 0.5714 ≈ 57.14%.

Therefore, the correct answer is approximately 53.07% (option b).

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You're considering a sequence of in which consecutive terms differ by 1, meaning

a(n) = a (n - 1) + 1

so a(n) is an arithmetic sequence. (I'm guessing 20102010 should actually be 2010, and 53075307 should be 5307, so 11 should probably be just 1.)

The sum of the first 2010 terms is 5307, or

\(\displaystyle\sum_{n=1}^{2010}a(n)=5307\)

Find the value of the first term in the sequence, a(1).

We can write a(n) in terms of a(1) by iterative substitution:

a(n) = a(n - 1) + 1

a(n) = (a(n - 2) + 1) + 1 = a(n - 2) + 2

a(n) = (a(n - 3) + 1) + 2 = a(n - 3) + 3

and so on, down to

a(n) = a(1) + n - 1

So the sum of the first 2010 terms is

\(\displaystyle\sum_{n=1}^{2010}a(n)=\sum_{n=1}^{2010}\left(a(1)+n-1\right)=(a(1)-1)\sum_{n=1}^{2010}1+\sum_{n=1}^{2010}n=5307\)

Recall that

\(\displaystyle\sum_{n=1}^N1=\underbrace{1+1+\cdots+1}_{N\text{ times}}=N\)

and

\(\displaystyle\sum_{n=1}^Nn=1+2+\cdots+N=\dfrac{N(N+1)}2\)

So we have

\(\displaystyle\sum_{n=1}^{2010}a(n)=2010(a(1)-1)+\frac{2010\cdot2011}2=5307\)

Solve for a(1) :

2010 (a(1) - 1) + 2,021,055 = 5307

2010 (a(1) - 1) = -2,015,748

a(1) - 1 = - 335,958/335

a(1) = - 335,623/335

Now, every second term, starting with a(1), differs by 2, so they form another arithmetic sequence b(n) given by

b(n) = b(n - 1) + 2

or, using the same method as before,

b(n) = b(1) + 2 (n - 1) = a(1) + 2n - 2

The sum of the 1005 terms in this sequence is

\(\displaystyle\sum_{n=1}^{1005}b(n)=(a(1)-2)\sum_{n=1}^{1005}1+2\sum_{n=1}^{1005}n\)

= (- 335,623/335 - 2)•1005 + 2•1005•1006/2

= 1146

Answer:

1 1/5 gallons is 6/5 volume of 1 gallon. Therefore, 8 1/3 * 6/5 = 25/3 * 6/5 = 150/15 = 10 lbs.

Step-by-step explanation:

The equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.

The position of the particle is given by the vector-valued function r(t) = (t + 4) i + (t2 + 5) j, where i and j are the standard basis vectors in the x and y directions, respectively. To find an equation in x and y whose graph is the path of the particle, we can eliminate the parameter t.

We start by solving for t in terms of x: t = x - 4. Substituting this expression into the equation for y, we get y = (x - 4)2 + 5 = x2 - 8x + 21.

Therefore, the equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.

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Answer:

8

Step-by-step explanation:

16 inchers = 128 feet

128/16=8

so 1 inch = 8 feet

Answer:

16 inches:128 feet = 1 inch:8 feet

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation: