What is the volume of the prism shown below?

A rectangular prism with length of 6 inches, height of 7 inches, and width of 3 inches.
16 cubic inches
21 cubic inches
90 cubic inches
126 cubic inches

Answer:

8 units

Step-by-step explanation:

did the assignment

Answer:

8

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

False

$25,706.48

Step-by-step explanation:

The annual percentage rate (APR) is 4%, so the monthly rate is 4%/12 = ⅓%.

25 years = 300 months.

The monthly deposit (annuity) is $50.

The future value of the annuities is:

F = A [(1 + i)ⁿ − 1] / i

Given i = 1/300, A = 50, and n = 300:

F = 50 [(1 + 1/300)³⁰⁰ − 1] / (1/300)

F = 25,706.48

The statement is false.  The amount after 25 years is less than $30,000.

The statement doesn't make sense because if you make $50 monthly deposits at a 4% APR for 25 years, you will have approximately $41,981.86 in your retirement account, not only $30,000.

The statement does not make sense or is clearly false. Let's add up the total deposits over 25 years and calculate the interest gained using the given annual percentage rate (APR) of 4%.

Therefore, if you continue to make $50 monthly deposits with a 4% APR for 25 years, you will have just under $41,981.86 in your retirement account, not $30,000 as stated. So, the statement is inaccurate.

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Answer:

The value of the investment will be worth $2466 in the year 2017

Step-by-step explanation:

In this question, we are tasked with finding the specific year in which an amount invested in a money market account reaches a particular value

To get this year, what we need to do is to get the value of t from the exponential equation given in the question. To get t, we simply make the value of A set to the particular value in the question.

Hence, we use [tex]A = 1700e^{0.062t} \\[/tex]

Now, we plug the value of A = 2466 and take the natural logarithm of both sides i.e [tex]Log_{e}[/tex] or simply ln

From;

[tex]2466 = 1700e^{0.062t}[/tex]

ln 2466 = ln[tex]1700e^{0.062t}[/tex]

ln 2466 = 0.062t ln1700

7.81 = 0.062t × 7.44

t = 7.81/(0.062 × 7.44)

t = 16.93 approximately 17 years

This means that the value of the investment will have that worth in the year 2000+17 = year 2017

Answer:d

Step-by-step explanation: just factor it out

The factorisation of the given polynomial is (x+2)(2x+3). Therefore, option D is the correct answer.

The given polynomial is 2x²+ 7x + 6.

We need to factorise the given polynomial.

In order to factorise a quadratic algebraic expression in the form ax² + bx + c into double brackets:

Now, 2x²+ 7x + 6=2x²+ 4x +3x+ 6

=2x(x+2)+3(x+2)

=(x+2)(2x+3)

Therefore, option D is the correct answer.

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Answer:

24

Step-by-step explanation:

5x - y ÷ 8

Let x=5 and y=8

5(5) -8÷8

PEMDAS

multiply and divide from left to right

25 -8÷8

25 -1

Then add and subtract

24

24

Step-by-step explanation:

First I replaced x and y so the equation was:

5(5)-8/8

multiply 5*5

25-8/8

25-1

When you subtract the answer is 24

And I solved this equation using PEMDAS!

Hope that helps!!

Answer:

34%

Step-by-step explanation:

The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.60° F.

We want to find the probability that the mean body temperature of 36 randomly selected adults is greater than 98.5° F.

The mean of the sampling distribution of the sample means is the same as the population mean,

[tex] \mu = 98.6 \degree[/tex]

The standard error of the mean becomes the standard deviation of the sampling distribution of the means.

[tex]SE= \frac{ \sigma}{ \sqrt{n} } [/tex]

[tex]SE= \frac{0.6}{ \sqrt{36} } = 0.1[/tex]

By the Central Limit Theorem, the distribution of mean of means is approximately normal

The z-score of 98.5° F

[tex] z= \frac{98.5 - 98.6}{0.1} = - 1[/tex]

By the empirical rule 68% of the distribution is within one standard deviation (-1 to 1).

Therefore from (-1 to 0), it will be approximately 34%

Final answer:

To calculate the probability that the mean body temperature of 36 randomly selected adults is greater than 98.5° F, you'd use the z-score formula after finding the standard error. The final probability is found by subtracting the z-score probability corresponding to a score of -1 from 1. The correct distribution for calculation is the z-distribution due to the known standard deviation.

Explanation:

The question pertains to calculating the probability that the mean body temperature of a randomly selected sample of 36 adults is greater than 98.5° F. Given that the mean is 98.6° F and the standard deviation is 0.60° F, one would first calculate the standard error of the mean (SE) using the formula SE = σ/√n, where σ is the standard deviation and n is the sample size. In this case, SE = 0.60/√36 = 0.10° F.

To find the probability, we can use the z-score formula, which is z = (X - μ) / SE, where X is the value we are finding the probability for, μ is the mean, and SE is the standard error. Plugging in the values, we get z = (98.5 - 98.6) / 0.10 = -1. When we look up the z-score of -1 in the z-tables or use a statistical software, we find the probability to the left of z=-1. However, since we want the probability that the mean temperature is greater than 98.5° F, we need to subtract this value from 1.

The final step will give us the probability that the mean of the selected sample is greater than 98.5° F. It's important to note that while the question hints at using the t-distribution due to not knowing the population standard deviation, since we're using the provided standard deviation of 0.60° F, we're actually using the z-distribution. If we were dealing with smaller sample sizes or truly didn't know the population standard deviation, we would use the t-distribution as suggested.

Answer:

D

Step-by-step explanation:

I interpret your problem as log49(7)=1/2

This would be the same as 49^1/2=7 because taking a number to the 1/2 power is the same as taking its square root [sqrt(49)=7].

Answer:

uh my good sir whats your question we cant help if we dont know what the questions is.

Step-by-step explanation:

Answer:

$1.85

Step-by-step explanation:

$7.00 is the price of 1 gallon of apple cider

Step 1

The first step would be to find how many ounces make a gallon

And 1 gallon of apple cider juice = 128 ounces

Therefore,

$7.00 makes 128 ounces of apple cider juice

Step 2

The second step is to find how many ounces make 1 packet or package boxes

Eight 4.23 ounces juice boxes = 1 packet

Therefore, 8 × 4.23 ounces = 33.84 ounces.

Step 3

To find cost per eight 4.23 ounce boxes of cider which is the cost per 33.84 ounces,

We used the proportion below.

If 128 ounces = $7

33.84 ounces = Y( we call this y because it is unknown)

We cross multiply

128 ounces × Y = $7 × 33.84 ounces

Y =($7 × 33.84 ounces) ÷ 128 ounces

Y = $1.85

Therefore, 33.84 ounces which is would cost us $1.85.

Therefore, the cost is $1.85 per eight 4.23 ounce boxes of cider.

Answer:

y = [tex]\frac{2}{3}[/tex]x - 3

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

You know:

m = 2/3

b = -3      So substitute/plug it into the equation

y = mx + b

[tex]y=\frac{2}{3}x-3[/tex]

Answer:

A/b = Area/base

Step-by-step explanation:

1)If area of the parallelogram has been given :

Area of a parallelogram = bxh

Area of a parallelogram/b = h

2) And if the measure of the sides is given then use Pythagoras theorem to find the height

Hope this will help u mate

Answer:

m=66

Step-by-step explanation:

Answer:

m=66

Step-by-step explanation:

Answer:

The length of the missing leg is approximately 17.49 meters.

Explanation:

To find the length of the missing leg in a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, if one leg(hypotenuse) is 15 meters and the other leg(base) is 9 meters, and we denote the missing leg as [tex]\(x\)[/tex] meters, we have:

[tex]\[x^2 + 9^2 = 15^2\][/tex]

[tex]\[x^2 + 81 = 225\][/tex]

[tex]\[x^2 =144 \][/tex]

Now, to find [tex]\(x\)[/tex] , we take the square root of both sides:

[tex]\[x = \sqrt{144}\][/tex]

[tex]\[x = 12\][/tex]

Question:

A right triangle's leg is 9 and the hypotenuse is 15, what is the other leg s length?

Answer:

The money that will be in her account in 15 years is $4965.84

Step-by-step explanation:

Given data

Principal p= $3800

rate r= 1.8% - - - - - - 1.8/100=0.018

Time t= 15 years

Final amount A=?

The model that describes the e amount in the account is the compound interest model

A = P(1 + r)^t

Substituting our given data into this model we have

A= 3800(1+0.018)^1 5

A=3800(1.018)^15

A=3800*1.3068

A= $4965.84

Answer:

-5

Step-by-step explanation:

6c + 14 = -5c + 4 + 9c

6c + 14 = 4c + 4

- 4. - 4

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

6c + 10 = 4c

- 6c - 6c

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

10 = -2c

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

-2. -2

C = -5

Answer:

-5 = c

Step-by-step explanation:

Step 1

6c + 14 = -5c + 4 + 9c

subtract 4 to the other side, then subtract 6c to the opposing side

ex: 14-4 = -5c -6c +9c

then combined..   10= -2c

Step 2

divide -2 from 10 to solve for c.

ex: 10/-2 = c

solve... -5 = c

Answer:

Statistics

Step-by-step explanation:

Statistics is the science of collecting and analysing numerical data in large quantities from a sample.

Answer:

23 1/4

Step-by-step explanation:

Answer:

1. 26.0976

2. 1048.93

3. 16.16733

Answer:

AA BB CC DD EE FF GG HH II JJ KK LL MM NN OO PP QQ RR TT UU VV WW XX YY ZZ

Step-by-step explanation:

Answer:

height goes on the  x–axis and, arm span goes on the y-axis, and the order pair is (30,27)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression that models this problem is

[tex](2b-5)+b+(b+80)=983[/tex]

To know the total points Team B scored, we just need to solve the expression for [tex]b[/tex]

[tex]2b-5+b+b+80=983\\4b=983-80+5\\4b=908\\b=\frac{908}{4} \\b=227[/tex]

Therefore, Team B scored 227 points.

Notice that the problem specifies each term of the expression.

"Team A scored 5 less than twice as many points as Team B": [tex]2b-5[/tex]

"Team C scored 80 more points than Team B": [tex]b+80[/tex]

"They combined score was 983 points": = 983.

With all this information, we defined the expression to find [tex]b[/tex]

Answer:

c

Step-by-step explanation:

Answer:

The answer is 22 centimeters.

Step-by-step explanation:

Answer:

22 centimeters squared

Step-by-step explanation:

trust me just did it on EDG

Answer:

55.75 miles/hour is the average speed

Step-by-step explanation:

In this question, we are asked to calculate the average speed attained by Yol if he traveled a certain distance within a given time frame.

To calculate his average speed, what we do is to divide the distance travelled by Yol by the number of hours he traveled.

mathematically what we are saying is that

Average speed = Total distance/ Total time

From the question, the distance is 390.25 miles while the time is 7 hours

we now input these values

Average speed = 390.25/7 = 55.75 miles per hour is the average speed

The cost of one lesson in obedience school is $8 and in community center is $5. Therefore, canine community center is better choice.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost of 12 lessons to obedience school = $96

Cost of 1 lesson to obedience school = 96/12 = $8

Also, cost of 25 lessons at canine community center = $125

Cost of 1 lesson at canine community center = 125 / 25 = $5

Since, the cost of one lesson in obedience school is $8 and in community center is $5.

So, the canine community center is better school.

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Answer:

The greatest length she can cut to have equal length in all the cables, without a left over is 3 feet each

Step-by-step explanation:

in order to solve this, we treat the length of each cable as separate numbers for which we find the highest common factor, since we are told that they must all be of the same length. The highest common factor of two whole numbers, is the highest number which completely divides both number without a remainder. The highest common factor is found as follows:

Factors of 12 are : 1, 2, 3, 4, 6, and 12

factors of 15 are : 1, 3, 5, and 15

from the above, the highest factor that is common to both numbers is 3.

Therefore, if both cables are cut into 3 feet each, , a total of 9 pieces of cables (4 from the 12 feet cable and 5 from the 15 feet cable) of equal length will be obtained without any remainder.

Answer:

3 feet

Step-by-step explanation:

To solve this problem the heed to find the factors of 15 and 12

Factors of both numbers

12 : 1,2,3,4,6,12

15: :1.3,5,15

Then we find the highest common factor between them which is 3, 3 is a factor of both 12 and 15

remainder. The highest common factor is found as follows:

So, if both cables are cut into 3 feet each, you should have a total of 9 piecesa total of 9 pieces of cables.

From the 12 feet long cable you should have 3 feet x 4 meaning 4 pieces

From the 15 fert long cable you should have 3 feet x5 meaning 5 pieces

4+5 makes it 9 pieces without any remainder

Answer:

1/4 or 0.25

Step-by-step explanation:

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