Can someone help me with 12 & 13.

Directions: Find the volume of each figure. Round to the nearest hundredth when necessary.

Answer:

f(9)=2

Explanation:

The function f(x) is defined as follows:

To find the value of f(9), we substitute 9 for x in f(x) as follows:

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

Answer: The equation that best represent this relationship is y=7.25x

Step-by-step explanation:

Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

Answer:

36 non repeating, 72 repeating (AB=BA)

Step-by-step explanation:

There is a theoretical approach to solving this question. We have formulae for such types of question in ‘Permutation and Combination’ chapter but let me solve it through my approach.

There are 9 members in the unit.

we have to choose only 2 people out of them randomly.

let the members be A, B, C, D, E, F, G, H an, I

A can be chosen first with one of the rest as the second person.

Like AB, AC, AD, AE … AI ………………………(1)

by this, we can choose people in 8 ways.

we will also have 8 ways as BA, CA, DA, … IA ………..(2)

the series (2) is completely reverse of series (1)

now perform the same action taking B as first-person and people after B as the second person.

by this, we will have 7 ways

and 7 ways again in reverse mode.

The same process with C, D, E and other members

we get

8*2 = 16 ways with A

7*2 = 14 ways with B

6*2 = 12 ways with C

5*2 = 10 ways with D

4*2 = 8 ways with E

3*2 = 6 ways with F

2*2 = 4 ways with G

1*2 = 2 ways with H

and I can not be selected lonely because there is no person after I.

SO total ways = 16 + 14 +12 + 10 + 8 + 6 + 4 + 2 = 72 ways

72 will be the answer if the selection of A first and B second is different from the selection of B first and A second.

If AB = BA then the answer will be 72/2 = 36

(It is my approach and easier way for me than the traditional formulae)

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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The quotient of the long division of the polynomial (6x³ - 4x² + 11)/(x+3)  is 6x² - 22x + 66.

The quotient of the polynomial divided by a factor of x + 3 is determined by applying long division method as shown below;

6x³ - 4x² + 11 ÷  x + 3

                   6x² - 22x + 66

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

  x + 3   √ 6x³ - 4x² + 11

               - (6x³ + 18x²)

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

                         -22x² + 11

                    -   (-22x² - 66x)

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

                                  66x + 11

                            -  (66x + 198)

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

                                      -187

Thus, the quotient of the long division of the polynomial is obtained as   6x² - 22x + 66.

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Find the quotient of the polynomial using long division

6x3 − 4x2 + 11/x + 3

The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

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Answer:

The minus shouls be a plus.

Step-by-step explanation:

138.75 is the total that everyone donated, Alex himself and others. Thus, 138.75 = d + 14.50.

How Alex wrote it implies that 14.50 was taken away from the donations of others to get the total of 138.75

To solve this problem, we will use the formula of rectangular prism surface area.

The formula is:

A=2(wl+hl+hw)

A is the area, w is the width, l is the length, and h is the height.

So we will put in all the numbers.

A=2((15)(10)+(8)(10)+(8)(15))

Multiple all the numbers inside:

A=2(150+80+120)

Add all the numbers inside:

A=2(350)

Multiply:

A=700ft^2

Hope this helped!

In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

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Answer:

254.34 in.²

Step-by-step explanation:

area = πr²

given, radius = 9 cm

according to formula

→ 3.14 × (9)²

→ 3.14 × 81

→ 254.34 in.² ans.

hope this helps you !

From the calculation, u is represented as x⁷ and dv as e^10xdx

The formula for calculating integration by part is expressed as:

Given \(\int\limits f(x)g(x) \, dx\)

Let u = f(x) and dv = g(x)dx, according to integration by part:

\(\int\limits u \, dv = uv - \int\limits v \, du\)

Comparing the general formula above to the given integral function \(\int\limits x^7e^{10x} \, dx\)

f(x) = x⁷ and g(x) = e^10x

Comparing this with the formula \(\int\limit {u} \, dv\)

u =  x⁷ and dv = e^10xdx

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Answer:

\(\displaystyle u = x^7\)

\(\displaystyle du = e^{10x} \ dx\)

General Formulas and Concepts:

Calculus

Integration

Integration by Parts:                                                                                               \(\displaystyle \int {u} \, dv = uv - \int {v} \, du\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \int {x^7e^{10x}} \, dx\)

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

Answer is A

Step-by-step explanation:

add 8 x 8 x 17= 1088

Answer:

P ( 2<x<18)  = 16/23

Step-by-step explanation:

Since it is a uniform distribution the f(x) is given by

f(x) = 1/b-a     a ≤x ≤b     [0,23]

f(x) = 1/23-0 = 1/23

Now we have to find the probability  that a randomly chosen eight-week-old baby smiles between two and 18 seconds

P ( 2<x<18) =  base * height

                   = ( b-a) * 1/ b-a

                  = 18-2 *1/23

                 =16/23

The uniform distribution is called rectangular distribution because its total probability is confined to a rectangular region with base equal to (b-a) and height (1/b-a).

Sam drove approximately 246 miles.

Let's start by subtracting the base fee from the total amount Sam paid to find the additional fee he incurred for the miles driven:

213.33 - 18.99 = 194.34

We know that the additional fee is 79 cents per mile, so we can set up an equation to find the number of miles Sam drove:

194.34 = 0.79x

where x is the number of miles driven.

To solve for x, we can divide both sides of the equation by 0.79:

x = 194.34 / 0.79 ≈ 246

Therefore, Sam drove approximately 246 miles.

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The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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Answer:

c

Step-by-step explanation:

1. The stochastic matrix for the given transitions is:

   \(T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\\)

2. 40.0% people in February and 32.0% people in March will be the low  users if there are 50% low users in January.

It is given that,

80% of the people who were Low users one month will be Low users the next month.

That means for the transition low-low (L-L)

p = 0.80

So, for Low-high transition (L-H)

p = 1-0.80 = 0.20

It is also given that 70% of the people who were High users one month will be High users the next month.

That means, p = 0.70 for the transition high-high (H-H)

Then for H-L transition, p = 1-0.70 = 0.30

(a) The 2x2 stochastic matrix for these transitions is:

\(T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\\)

(b) Given that 50% users are the low users in month of January.

\(\text{Percent of the customers will be Low users in February}= (\text{low users in month of January} \times \text{Probability of L-L transition.}) \times 100\%\)= (0.50 x 0.80)x100%

= 0.4x 100%

=40.0%

Now, the percentage of people who will be low users in the month of march = (low users in February x probability of L-L transition)x100%

=(0.40x0.80)x100%

=0.32x100%

=32.0%

Hence, the percentage of people who will be low users in the month of February and in the month of March are 40.0% and 32.0% respectively.

Therefore, the results are:

1.2x2 stochastic matrix for the transitions is as:

         \(T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\\)

2. The percentage of people who will be low users in the month of     February and in the month of March are 40.0% and 32.0% respectively.

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To divide

First we have to transform the dividend from a mixed number to an improper fraction. We can do that with a diagram. We need 2 units and 3/5 of another unit:

So we have that 2 3/5 is 5/5 plus 5/5 plus 3/5:

Now our division is:

To compute this division we'll use KCF rule:

• K,eep the dividend

• C,hange division sign by multiplication sign

• F,lip divisor

This result cannot be simplified but it can be written as a mixed number. We can see that 90/10 plus 1/10 is 91/10. 90/10 can be simplified to 9. So:

The correct answer is the first option

So, on solving the provided question, we can say that As a result, this equation student's predicted overall college grade point average is 3.18744.

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

The following is an estimation of the final college GPA for a student with an 84 high school average and a 540 on the SAT mathematics test using the provided regression equation:

y = -1.41 + 0.0235(84) + 0.00486(540) \sy = -1.41 + 1.974 + 2.62344 \sy = 3.18744

As a result, this student's predicted overall college grade point average is 3.18744.

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Answer:

36 divided by 6 = 6

Step-by-step explanation:

Answer:

it's 10.00 because I used a calculator

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Dau coroana rapid e urgent va rog frumos SOARELE PRIETEN SAU DUSMAN ... o fisa de lucrurespectiv modeu da va veti decumenta despre influenta luminii soare ... Ajutati -ma sa fac aceasta problema la matematica Ma gandesc la un nr X.

1

2

ai putea te rog sa retrimiti fisa nu imi apare , te-as putea ajuta daca mi-ar aparea dar nu imi apare in caz ca poti sa o repostezi sa imi spui ca sa te ajut.

Liam and Sam write the correct number.

Option D is true.

What is Expanded form of a number?

The splitting of numbers based on the place value is called Expanded form of a number.

The number is given as;

4×1 + 6 × 1/10 + 9 × 1/1000

Now, The number is written in standard form as;

⇒ 4×1 + 6 × 1/10 + 9 × 1/1000

⇒ 4 + 0.6 + 0.009

⇒ 4.609

Then write the number in word form,

⇒ 4.609 =  Four and six hundred nine thousandths.

So, Liam and Sam write the correct number.

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