If 3 is the input for this function machine, what is the output?
x² + 2x +1

Answer:

208 cubic units

Step-by-step explanation:

The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:

The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.

Now, let’s calculate the volume of the rectangular prism:

The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160

Now, add up the volumes of the rectangular and triangular prisms:

160 + 48 = 208 cubic units

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.

Given:

Length of the rectangular floor = 14 ft

Width of the rectangular floor = 6 ft

Edge length of square tile = 3/4 ft

First, let's calculate the number of tiles that can fit horizontally:

Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft

Since we want a whole number of tiles, we need to round down or take the floor value:

Number of tiles horizontally = floor(56/3) = 18 tiles

Next, let's calculate the number of tiles that can fit vertically:

Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft

Again, we round down or take the floor value:

Number of tiles vertically = floor(24/3) = 8 tiles

To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:

Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles

Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

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Answer:

\(\huge\boxed{\sf Option \ 1}\)

Step-by-step explanation:

Here, 6x + 6 is a linear expression since all the terms are raised to power 1 only.

\(\rule[225]{225}{2}\)

Answer:

14 ;)

Step-by-step explanation:

 (9(3))^(2/3) + (2(4))^(2/3) + (-1)^(2/3) 

8 + 4 + 1 = 14 

The answer to this math problem is 14.

Pls vote brainliest

The probability of the complement of the event is 0.05.

The complement of an event is the probability of that event not occurring. The relationship between the probability of an event and its complement is that they always add up to 1.

Therefore, if the probability of an event occurring is p, then the probability of its complement not occurring is 1-p.

In the case where the probability of an event is 0.95, the probability of its complement not occurring would be 1-0.95 = 0.05. This means that the probability of the complement of the event is 0.05.

This concept is important in probability theory and is used to calculate the probabilities of events and their complements. It allows us to consider all possible outcomes of a given situation and calculate the likelihood of each of them.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5

Answer:

-1

Step-by-step explanation:

\(f(-2)=(-2)^2 + 10=14 \\ \\ f(1)=1^2 + 10 =11 \\ \\ \frac{f(1)-f(-2)}{1-(-2)}=\frac{11-14}{3}=-1\)

Answer:

11% of the Total the entire voting population

Step-by-step explanation:

Let's bear in mind that the total number of sample candidates is equal to 600.

But out of 600 only 66 preffered candidate A.

The proportion of sampled people to that prefer candidate A to the total number of people is 66/600

= 11/100

In percentage

=11/100 *100/1 =1100/100

=11% of the entire voting population

Answer:

I'm sorry :( I can't tell you the answer because I can't see how many square feet are in the crops. But multiply the amount of peas per square foot, and same thing with the other vegetables. Then, you will get your answer! If you do need a calculator, go to calculatorsoup.c.om! (remove the . from com

Step-by-step explanation:

The solution for the equation m + ( ¼ ) < -1 ( 2/5 ) is m < -1 ( 13/20 )

Given,

The equation: m + ( ¼ ) < -1 ( 2/5 )

We have to solve this:

m + ( ¼ ) < -1 ( 2/5 )

Subtract (1/4) from both sides:

That is,

m + ( ¼ ) – ( ¼ ) < -1 ( 2/5 ) – ( ¼ )

Here, ( ¼ ) – ( ¼ ) becomes 0.

Then,

m + 0 < -1 ( 2/5 ) – ( ¼ )

m < -1 ( 18-5 / 20 )

m < -1 ( 13/20 )

That is, the solution for the equation m + ( ¼ ) < -1 ( 2/5 ) is m < -1 ( 13/20 )

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Answer:

the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2

Step-by-step explanation:

the right one is 5x-y^2 divide 2

                           5x6-4^2 divide 2

                            5x6-16 divide 2

                             30-8

                                 22

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Answer:

Step-by-step explanation:

\(F=Ir^t,\text{ where F=final amount, I=initial amount, r=rate of change, t=time}\\ \\ F=58350(1.02)^4\\ \\ F=\$ 63159.92\)

Answer:

true I'm positive that the correct answer

Answer:

Step-by-step explanation:

∠3 and ∠5 are supplementary internal angles that adds up to 180

so ∠3 + ∠5 = 180

The root(s) of f (x) are

6 with multiplicity 2

-2 with multiplicity 2.

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

We are given to find the roots of the following polynomial function :

f (x) = (x- 6)²(x + 2)²

We know that

the roots of a polynomial f(x) are given by the equation f(x) = 0.

Therefore, the roots of the given polynomial are given by

(x- 6)² =0 => x =6,6

(x + 2)² =0 , x =-2, -2

Thus, the required roots are

6 with multiplicity 2 and -2 with multiplicity 2.

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Answer:

=−15x+27

Step-by-step explanation:

OK LET ME EXPLAIN :3

First what I would do is -3 x -9 which would be a 27 (Negative x Negative = Positve)

Then I would do 27 x 5 which is 135

Answer: 135

There ya go hope this helped!!

Answer:-1/2

Step-by-step explanation:answer=-1/2

slope is equal to rise/run = y/x = (y2-y1)/(x2-x1)

(7-8)/(-2-(-4))=-1/2

slope = -1/2

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

We can expand

\(f(x,y,z) = xy\ln(yz) = xy \ln(y) + xy\ln(z)\)

Then using the product and chain rules,

\(\dfrac{\partial f}{\partial x} = y\ln(y) + y\ln(z) + \boxed{y\ln(yz)}\)

\(\dfrac{\partial f}{\partial y} = x\ln(y) + \dfrac{xy}y + x\ln(z) = \boxed{x\ln(yz) + x}\)

\(\dfrac{\partial f}{\partial z} = \boxed{\dfrac{xy}z}\)

Answer:

We know that in a triangle, given two sides, the third one must be smaller than the sum of the given sides, but greater than their difference:

z < x + y

z > x - y

Therefore, the length of the third side will be between the difference and the sum of the other two sides. In our case:

x + y = 13

x - y = 3

Hence, the correct answer is: B) The side needs a fence that is longer than 3ft. and shorter than 13ft.

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

8-2x=10

(8-2x)-8=10-8

-2x=2

-2x/-2=2/-2

x=-1

Answer:

Ans; 58.80528

Step-by-step explanation:

Ans; ( 8.73) ( 42.1)(0.16) = (873) ( 421) (16) × 10^-⁵ = ( 367533) (16) × 10^-⁵ = 5880528 × 10^-⁵ = 58.80528

I hope I helped you^_^

The value of 0.16 x 42.1 x 8.73 after multiplying is 58.80528.

Given,

(0.16)(42.1)(8.73)

We need to multiply the decimal numbers.

When we multiply decimal numbers the decimal point should be placed after the number of counts from the right side.

The number of counts is the sum of the counts of numbers before the decimal point of each decimal number from the right side.

Example:

1.23 x 134.5

Here,

In 1.23 there are two numbers before the decimal point.

In 134.5 there is one number before the decimal point.

So the count = 2 + 1 = 3

So,

There should be three numbers after the decimal point in 1.23. x 134.5.

1.23. x 134.5 = 165.435

Find 0.16 x 42.1 x 8.73 by multiplying.

We see that,

There are two numbers after the decimal point in 0.16

There are one numbers after the decimal point in 42.1

There are two numbers after the decimal point in 8.73

So,

2 + 1 + 2 = 5 numbers

There should be 5 numbers after the decimal point in 0.16 x 42.1 x 8.73

Now,

0.16 x 42.1 x 8.73 = 58.80528.

Thus the value of 0.16 x 42.1 x 8.73 is 58.80528.

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Answer:

B

D

D

Step-by-step explanation:

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The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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Answer:

Probability of spinning an odd number = 1/3

Step-by-step explanation:

4 odd out of 12 sections

Probability of spinning an odd number = 4/12 = 1/3

The p-value  for this hypothesis test was 0.001

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory's veracity. It is sometimes referred to as the "null," and its symbol is H0.

The alternative hypothesis states your research prediction of an effect or relationship.

Using the information below:

H0:p=0.40 (null hypothesis) (null hypothesis)

Ha:p>0.40 (alternative hypothesis)

It was established that the p-value was 0.001.

a 5% significance threshold

We shall rule out the null hypothesis because the p-value (0.001) is smaller than the significance level (0.05), which means that the proportion of students majoring in nursing is higher than 0.4.

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The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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Answer:

B

Step-by-step explanation:

30

Step-by-step explanation:

did it