PLEASE HELP! 10 POINTS! I WILL MARK BRAINLIEST!! there are three separate questions, look at photo for the questions and information. *ignore the graph part, you don’t need to do that*

Answer:

72 = 2 * 2 * 2 * 3 * 3

Step-by-step explanation:

Answer:

72 = 2^3 ×3 ^ 2

Step-by-step explanation:

72 = 2 × 2 × 2 × 3 × 3

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer: Roughly 8.267*10^6 cubic centimeters

The more accurate answer is 8.266914648*10^6 cubic centimeters

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Work Shown:

\(s = 2.022*10^2\\\\v = s^3\\\\v = (2.022*10^2)^3\\\\v = (2.022)^3*(10^2)^3\\\\v = 8.266914648*10^{2*3}\\\\v = 8.266914648*10^6\\\\v \approx 8.267*10^6\\\\\)

I rounded to three decimal places because the 2.022 is to three decimal places. Round however you need. Or you can choose to leave the number unrounded.

The number 8.267*10^6 is 8,267,000 which is a little over 8.2 million.

The units for the volume are in cubic centimeters, which we can abbreviate as cm^3 or \(\text{cm}^3\)

Note that the value \(8.267*10^6\) is in the form \(A*10^b\) where \(0 \le A < 10\), which means this number is in scientific notation form.

Answer:

4, 2, 1, 2, 4

Step-by-step explanation:

-2 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-2).

f(-2) = (1/2)^-2 = 1^-2/2^-2 = 2^2/1^2 = 4/1 = 4

-1 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-1).

f(-1) = (1/2)^-1 = 1^-1/2^-1 = 2^1/1^1 = 2/1 = 2

0 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(0).

f(0) = (1/2)^0 = 1^0/2^0 = 1/1 = 1

1 > 0, so use the second equation, f(x) = 2^x, to find f(1).

f(1) = 2^1 = 2

2 > 0, so use the second equation, f(x) = 2^x, to find f(2).

f(2) = 2^2 = 4

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Answer:

it's 650 and 350

Step-by-step explanation:

3x+3y=3000

7x+6y=6650

7x+6y-2(3x+3y)=x=650

plug x in the first equation and then divide u find the 350

The volume of the rectangular prism will be (4x - 3)(x + 1)( x+2) cubic feet.

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

Given that the length, width, and height of the rectangular prism are,

The volume of the rectangular prism will be calculated as,

Volume = Length x width x Height

Volume = (4x - 3)(x + 1)( x+2) cubic feet

Therefore, the polynomial for the volume will be (4x - 3)(x + 1)( x+2) cubic feet.

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Answer:

Basic parabola:  y = ax2 + bx + c

We have 3 points we can plug in for (x, y) to create 3 simultaneous equations

(-2, 24):  24 = 4a - 2b + c   {equation 1}

(3, -1):   -1 = 9a + 3b + c    {equation 2}

(-1, 15): 15 = a - b + c        {equation 3}

Solve this system to find the values of a, b, c

Let's first eliminate variable c:

4a - 2b + c = 24   {equation 1}

 a -  b + c = 15    {equation 3}

---------------------  subtract

3a - b = 9

9a + 3b + c = -1    {equation 2}

 a -  b + c = 15    {equation 3}

--------------------  subtract

8a + 4b = -16

We now have two equations with 2 unknowns we can use to find a, b

3a - b = 9         {equation 4}

8a + 4b = -16   {equation 5}

Multiply equation 4 through by 4 and add equations

12a - 4b = 36

8a + 4b = -6

-----------------   add

20a = 30

a = 30/20

a = 3/2

8a + 4b = -6

8(3/2) + 4b = -6

12 + 4b = -6

4b = -6- 12

4b = -18

b = -18/4

b = -9/2

Plug these 2 values into one of the original equations and solve for c

15 = a - b + c        {equation 3}

15 = 3/2 + 9/2 + c

15 = 12/2 + c

15 = 6 + c

c = 15-6

c = 9

y = (3/2)x2 - (9/2)x+ 9

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Step-by-step explanation:

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

The formula for the circumference of a circle is C = 2πr or C= πd where r represents length of r and d represent length of diameter. The length of a diameter is 2r which is why C= πd. Using this formula, we know that r= 4cm. Thus, C= 2(4)π = 8π ≈ 25.13 centimeters.

Step-by-step explanation:

The assumptions include:

1. The observations are normally distributed.

2 The observertions are independent.

Test hypotheses include the null hypothesis that the anxiety level is same before after the course and the alternative hypothesis that the anxiety level derveases after taking the course.

The standard deviation is 1.1475. The value of to will be:

= -1.125 / (1.1475 / √16)

= 3.9212

Based on the p value, it should be noted that the null hypothesis is rejected.

In conclusion, the anxiety level decrease after the students take the course.

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Before you took this course, you probably heard many stories about Statistics courses. Oftentimes parents of students have had bad experiences with Statistics courses and pass on their anxieties to their children. To test whether actually taking AP Statistics decreases students' anxieties about Statistics, an AP Statistics instructor gave a test to rate student anxiety at the beginning and end of his course.

Anxiety levels were measured on a scale of 0-10. Here are the data for 16 randomly chosen students from a class of 180 students:

Do the data indicate that anxiety levels about Statistics decreases after students take AP Statistics? Test an appropriate hypothesis and state your conclusion.

Money will the group have at the end of 10 years are $82,719.58.

Money is a kind of trade that is utilized in business dealings and other types of economic activity. All economic agents within a particular nation or geopolitical region accept it as a form of asset that is used to store purchasing power and is accepted as payment. It functions as a store of value, a unit of account, and a medium of exchange. Because it allows people to buy and sell goods and services, is crucial.

\(A=P(1+\frac{r}{n})^{nt}\) is the formula for computing the amount after compound interest.

Where P is the principal amount, which is $50,000, A is the amount due after 10 years, r is the interest rate, which is 6%, n is the number of times the interest is compounded each year, which is 12, and t is the number of years, which is 10.

Putting the values in the formula,

\(A=50,000(1+\frac{0.06}{12})^{(12\times 10)}\)

\(A=50,000(1.005)^{120}\)

A=50,000(1.71958)

A=82,719.58

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Answer:

m^2 + 11m - 11

Step-by-step explanation:

Step 1: Distribute.

Step 2: Combine like terms.

Therefore, the answer is \(m^2 + 11m - 11\).

Answer:

The slope of the line is

\( - 3\)

The equation of the line is

\(y = - 3x - 5\)

Step-by-step explanation:

To find the slope of the line that is perpendicular to

\(y = \frac{1}{3} x + 12\)

We have to first understand that if two lines are perpendicular it means that their slopes are the negative inverse of each other. Since the slope of the line that we know is

\( \frac{1}{3} \)

Then in order to find the slope of the other line we have to find its negative inverse

\( \frac{1}{3} \times line \: 2 = - 1 \\ line \: 2 = \frac{ - 1}{ \frac{1}{3} } \\ line \: 2 = - 1 \times \frac{3}{1} \)

\(slope \: of \: line \: 2 = - 3 \\ \\ recall \: that: \: y = - 9 \: \ \: \: \: x = 1 \: \: \: m = -3 \\ y = mx + c \\ - 9 = ( - 3)1 = c \\ - 9 = - 3 + c \\ - 9 + 3 = c\)

\( - 6 = c \\ \\ therefore \: the \: equation \: of \: the \: \\ line \:is \\ y = - 3x - 6\)

The universal set be the letters a through j: u = {a, b, i, j}. the elements of sets A, B, and C are A = {e, g, h, i} B = {a, b, g, h} C = {a, e, h, j}.

The given list the elements of sets A, B, and C as follows:

A = {e, g, h, i}

B = {a, b, g, h}

C = {a, e, h, j}

Each of these sets is a subset of the universal set U, which contains the letters a through j. Therefore, any element in sets A, B, or C must also be one of these letters.

To summarize:

A = {e, g, h, i}

B = {a, b, g, h}

C = {a, e, h, j}

So the elements of sets A, B, and C are:

A = {e, g, h, i}

B = {a, b, g, h}

C = {a, e, h, j}

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We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

Expansion of the function f(A,B,C,D):

f(A,B,C,D) = (A+B+D')(A'C)(C+D)

= A'A'C + A'CC' + BA'C + BC + D'A'C + D'CC' + BD'(A'C) + BD'(C+D)

= 0 + 0 + BA'C + BC + 0 + 0 + BD'A'C + BD'C + BD'D

= BA'C + BC + BD'A'C + BD'C + BD'D

Minterms SOP for the function with K-map 5.16:

The truth table for the given function is:

A B C F

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 0

1 0 0 1

1 0 1 0

1 1 0 0

1 1 1 1

The K-map for this function is:

BC

A 00 01 11 10

0 |  0  1  0  1

1 |  1  0  0  1

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C) = A'B' + A'C + BC

Karnaugh map and minimum sum of products for the function F(A,B,C,D)=A'B'+CD'+ABC+A'B'CD'+ABCD:

The truth table for the given function is:

A B C D F

0 0 0 0 0

0 0 0 1 1

0 0 1 0 0

0 0 1 1 0

0 1 0 0 1

0 1 0 1 0

0 1 1 0 1

0 1 1 1 1

1 0 0 0 0

1 0 0 1 0

1 0 1 0 0

1 0 1 1 0

1 1 0 0 1

1 1 0 1 1

1 1 1 0 1

1 1 1 1 1

The K-map for this function is:

   CD

AB 00 01 11 10

00 |   0  1  0  0

01 |   1  0  0  1

11 |   1  1  1  1

10 |   0  0  1  0

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

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In the first equation, subtracting 14 from both sides gives

-a = 1

and then multipying both sides by -1 gives

a = -1

Question 2

Expanding the Left-hand side gives

21 - 7b = -42

Subtracting 21 from both sides gives

-7b = -63

dividing both sides by -7 gives

b = 9.

Answer:

4n-10

Step-by-step explanation:

First we will use n as any number.

the difference between each of the numbers is +4

This creates first part of the formula.

4n...

If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.

This creates the second part of our formula.

4n - 10

You can check this by doing the same thing for the second number and replacing n with 2.

2×4=8

8 - 10= -2 which is the second number in the sequence which confirms this is correct.

Answer:

Blinked and 20 questions

Step-by-step explanation:

The correct relationship between the angles of the two triangles is as follows:

So, in an ABC triangle, A is at ordered pair negative 1, 3, B is at ordered pair 0, 1, and C is at ordered pair negative 3, 0.

Then,

Angle measurement BCA = Angle C prime A prime B measurement.

Therefore, the correct relationship between the angles of the two triangles is as follows:

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A bounded sequence is convergent.

A) Since Sequence means its range st is bounded then it's lower bound and upper bound exist.

Ler v be an upper bound of sequence then,

\({a_{n} } < v < m\) where m is any constant greater than v.

B) Let {\(a_{n}\)} be a sequence,

Since \(a_{n}\) goes to l, for all ε >0

such that \(| a_{n} - l |\) < ε

l - ε < \(a_{n}\) < l + ε

Here \(a_{n}\) is bounded which is convergent.

C) ) f(n) =N ( set of natural numbers) which is not bounded.

D) f(n) =N ( set of natural numbers)

Since f(n) is monotone increasing, which is not convergent.

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Answer:

2x + 2(x - 3)

Step-by-step explanation:

Answer: sorry but i need this points but you got this sorry

Step-by-step explanation:

Answer:

200 and 120

Step-by-step explanation:

(5x + 3x )*2 = 640

8x = 320

x = 40

5*40 = 200

3*40 = 120

Answer:

Range of the function → (-∞, 1)∪(1, ∞)

Step-by-step explanation:

Two function has been given as,

f(x) = (x + 1)

and g(x) = \(\frac{1}{x}\)

Then (fog)(x) = f[g(x)]

Now f[g(x)] = \(\frac{1}{x}+1\)

As shown in the graph,

Domain of the graph is (-∞, 0) ∪ (0, ∞) [Since vertical asymptote of the function is x = 0, so x = 0 will not be included in the domain]

And the range is (-∞, 1) ∪ (1, ∞) [Since horizontal asymptote is y = 1, so y = 1 will not be included in the range]

Answer:

if you help me, i help you

Answer:

x = 2.5

Step-by-step explanation:

2.4x - 6 = 0

2.4x - 6 + 6 = 0 + 6

2.4x = 0 + 6

2.4x = 6

2.4x ÷ 2.4 = 6 ÷ 2.4

x = 6 ÷ 2.4

x = 2.5

The area of the shaded region would be 4π - 8 square units.

What is the area of a circle?

The area of a circle is given by the formula: A = πr^2, where A is the area, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. The radius is the distance from the center of the circle to its edge.

In the given figure we have to find the height of the triangle and that will be the radius of the triangle.

In the triangle LMO,

Angle opposite to 45 = 1/√2* hypotenuse

MO = 1/√2 * 4

MO =2√2

Radius of the circle= 2√2

Area of the triangle = 1/2* MO * LN

                                  = 1/2 * 2√2*4√2

                                  = 8

Area of semi-circle =1/2 * πr²

                      =1/2 * π(2√2)²    

                     = 4π  

Area of shaded region = 4π - 8

Hence, the area of the shaded region would be 4π - 8 square units.

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The system of equations is:

3a + 2r + 7b = 21

2a + 6r + b = 29

a + 4r + 5b = 23

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

a = price of apples

r = price of oranges (I used r instead of letter o since o can be confused with zero)

b = price of bananas

Sally went to the grocery store and bought 3 lbs. of apples, 2 lbs. of oranges, and 7 lbs. of bananas for $21.

3a + 2r + 7b = 21

Kevin bought 2 lbs. of apples, 6 lbs. of oranges and 1 lb. of bananas for $29.

2a + 6r + b = 29

Heather bought 1 lb. of apples, 4 lbs. of oranges and 5 lbs. of bananas for $23.

a + 4r + 5b = 23

The system of equations is:

3a + 2r + 7b = 21

2a + 6r + b = 29

a + 4r + 5b = 23

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Answer:

a.c,means ac or ca and 5.5=25,So 10 ac is not equivalent

The function f is increased by a factor 9.58 rounded to two decimal place with the homogeneity property.

The homogenity property states that if the input factor is increased by a certain value then the output factor will increase by the same value.

Given that, f(x) = cx^1.43

We need to find by what factor is f increased, if x is tripled and round the answer to two decimal places.

Let's put x = 3x =

3f(x) = c(3)^1.43

= 9.58c

Therefore, if x is tripled, then f is increased by a factor of 9.58 rounded to two decimal places.

Hence, the answer is 9.58.

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In his practice, dr. Howard uses the idea that because actions are learned, they can also be unlearned through classical and operant conditioning. dr. Howard is most likely a Behavior therapist.

Classical conditioning is known to be one that is based on learned behaviors that tends to exist between stimuli as well as involuntary responses. On the other hand, operant conditioning focuses at the modifying of voluntary behaviors through reinforcements and punishments.

Hence, Dr Howard is a behavior therapist because he uses the idea that because actions are learned, they can also be unlearned through classical and operant conditioning.

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