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Answer:

The surface area of the rectangular prism is 738 square inches.

Step-by-step explanation:

To find the area of a rectangular prism, you need only find the sum of the area of all six faces.

With any rectangular shape, you'll always have opposite sides being identical, so you can actually define the area of the shape as:

2 × (w × l + w × h + l × h)

We're given a width of 15 inches, a length of 7 inches, and a height of 12 inches, so the surface area of the shape is:

2 × (15 × 7 + 15 × 12 + 7 × 12)

= 2 × (105 + 180 + 84)

= 2 × 369

= 738

So the rectangular prism has a surface area of 738 square inches.

Answer:

False

Step-by-step explanation:

Only six states have two syllables in their name.

No, only six states have at least two syllables.

Here,

We have to check the given statement '' All state names have at least two syllables'' is true or false.

What are states which have at least two syllables?

There are only 6 states have at least two syllables.

1. Georgia.

2. Kansas.

3. New York.

4. Texas.

5. Utah.

6. Vermont.

Now,

There are only 6 states have at least two syllables.

Hence,

The given statement '' All state names have at least two syllables'' is false.

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It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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Answer:

Step-by-step explanation:

Range is largest value - smallest value. 12-3=9! EZ

With the help of probability we can say that, DUM={GG,BB,GB,BG).

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

hence, DUM={GG,BB,GB,BG)

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Answer:

6/7 = 66/77

9/11 = 63/77

6/7 is greater than 9/11

Step-by-step explanation:

To give fractions a common denominator you must find the LCM(lowest common multiple) of this two denominators.

So, we have 7 and 11. You must find a multiple 7 and 11 share. This means that the number must be divisible by 7 and 11. The LCM for 7 and 11 is 77.

Now we make both the denominators 77.

Now look at the numerators. Look at 6/7. We multipled 7 by 11 to get 77. Therefore, we must also multiply 6 by 11.

Now we have, 66/77

Do the same with the other fraction but other way around:

11 x 7 so

9 x 7 = 63

So,

63/77

So 6/7 is now 66/77 and 9/11 is now 63/77

Now compare:

66 > 63

66 is bigger so 6/7 is greater.

6/7 is greater than 9/11

Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.

What is compound interest?

compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.

Capital(p) = $6400

Rate of interest(r) = 11%

Years(n) = 3

The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).

Now

\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)

The entire amount (Capital+interest) is equal to $8752.8384.

If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)

Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.

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Answer:

y = 16.6

Step-by-step explanation:

y - 4.6 = 12

Add 4.6 to each side

y - 4.6+4.6 = 12+4.6

y = 16.6

Answer:

8 strawberries and 2 blueberries

Step-by-step explanation:

The vertex of the function is located at coordinates (119, 0).

\(f(z)= 2z^{2}+82+37\\ \\f(z)= 2z^{2}+119\)

Check the attached image.

\(\frac{d}{dz} (2z^{2}+119)\\ \\f'(z)=2*2z^{2-1}\\ \\f'(z)=4z\)

\(f'(z)=4z\\ \\4z=0\\ \\z=0\)

\(f(0)= 2(0)^{2}+119\\ \\f(0)=119\)

The vertex of the function is located at coordinates (0, 119).

Answer:

Step-by-step explanation:

Answer:

$1300

Step-by-step explanation:

Raymond currently earns $600 per month and gets an annual raise of $100 per month.

To find out how much money he will make in 7 years, first multiply the number of years by the annual raise.

7 × $100 = $700

Add the value found by the amount he makes currently

$700 + $600 = $1300

In 7 years, Raymond will earn $1300 per month.

Answer: 1300

Step-by-step explanation:

Answer:

48,24,30

Step-by-step explanation:

Let, the length of second side be x

A/c to question,

first side (a) = 2x

second side (b) = x

third side (c) = x + 6

Perimeter of ∆ (p) = 102

And,

Perimeter of ∆ = a + b + c

102 = 2x + x + x + 6

102 - 6 = 4x

96 = 4x

x = 96/4

x = 24

Now,

first side = 2*24 = 48

second side = 24

third side = 24 + 6 = 30

Answer:

(Choice A) 2(3d+3) & (Choice C) (3d+3)+(3d+3)

Step-by-step explanation:

\(4D + 6 + 2D = 6D + 6 = 2(3D + 3)\) <--- A is correct

\(4D + 6 + 2D = 6D + 6 = 6(D +1)\) < --- B is NOT correct

\(4D + 6 + 2D = 6D + 6 = 3d + 3d + 3 + 3 = (3d + 3)+(3d +3)\) by associative and commutative properties

   so C is correct

A and C are both correct.

Answer:

Choices A and C

Step-by-step explanation:

Start by simplifying the original expression.

4d+6+2d

Combine like terms

6d+6

Now, we can check each expression to see if it is equivalent to 6d+6

Choice A:

2(3d+3)

Distribute the 2

2(3d)+2(3)

6d+6 --> It is equivalent!

Choice B:

6(d+6)

Distribute the 6

6(d)+6(6)

6d+36 --> No, it is not equivalent

Choice C

(3d+3)+(3d+3)

The parentheses aren't necessary so we can take them out.

3d+3+3d+3

Combine like terms

6d+6 --> It is equivalent!

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer:

  A = 51.3°, B = 90°, C = 38.7°

Step-by-step explanation:

The given lengths satisfy the Pythagorean theorem:

  (√41)² = 4² +5²   ⇒   41 = 16 +25

so we know the triangle is a right triangle. The right angle is opposite the longest side, so is angle B, opposite side AC.

The remaining angles can be found using trig functions. For example, we know ...

  tan(A) = BC/AB = 5/4

  A = arctan(5/4) ≈ 51.3°

Then the other acute angle is ...

  C = 90° -51.3° = 38.7°

Angles A, B, C are ...

  (A, B, C) = (51.3°, 90°, 38.7°)

First find the area of the square, then the triangle.

15 times 17 = 255 sq. yd

Triangle:

(5 times 5)/2 = 12.5 sq. yd

Your answer is 267.5 sq. yd

Hope this helps.

Answer:

A.) Even.

Step-by-step explanation:

If a function is an even function, then

F(-x) = f(x)

Also, if a function is an odd function, then, f(-x) = -f(x)

You are given the below function

f(x) = 1 + 3x^2 − x^4

Let x = 2

Substitute 2 for x in the function

F(x) = 1 + 3(2)^2 - (2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Also, Substitute -2 for x in the function

F(x) = 1 + 3(-2)^2 - (-2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Since f(-x) = f(x), we can conclude that

F(x) = 1 + 3x^2 - x^4 is even

Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%. The answer is: 6 over 31.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. Probability can be expressed as a fraction, decimal, or percentage.

The question asks for the experimental probability of drawing a 3, 5, or 7 from a deck of cards, given the frequency table provided.

The frequency table tells us how many times each card was drawn out of a total of 100 draws.

To calculate the frequency of drawing a 3, 5, or 7, we add the frequencies of these cards: 4 (for 3) + 6 (for 5) + 6 (for 7) = 16. Note that we do not include the frequencies of any other cards.

To calculate the probability of drawing a 3, 5, or 7, we divide the frequency of these cards (16) by the total number of draws (100): 16/100 = 0.16. This means that in our experiment, we drew a 3, 5, or 7 approximately 16% of the time.

The total number of draws is 100, and the frequency of cards 3, 5, and 7 is 7+6+6=19.

Therefore, the experimental probability of drawing a 3, 5, or 7 is:

19/100 = 0.19

This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%.

Therefore, the answer is: 6 over 31.

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Step-by-step explanation:

3/4 of plastic container = 3/5 cups

4/4 of plastic container = 3/5 * (4/3) = 4/5 cups.

4/5 cups of water is needed to fill 1 whole container.

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22