Can y'all solve this too, because I have no idea how to!!

solve for x: (x+4)/3
x= -2
x=2
x=2/3
x= -10/3

and

solve for x: 1/3 (2x - 8)=4
2
6
10
10/3​

The equation of a line is 3y+2x+59.

When we have given one point and slope we can write the equation as

y-y1=m(x-x1)

here x1=-11,y1=-13,m=-2/3

y+11=-2/3(x+13)

=3y+2x+59

The equation becomes =3y+2x+59.

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Given the following equation:

Let's determine the equation to find g.

Therefore, the equation to solve for g is:

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

1 gallon

Step-by-step explanation:

gallons of paint needed; 4

gallons used: (3/4)*4

= 1 gallon was used

Answer:

Answer is 3 gallons

Step-by-step explanation:

1 gallon= 25%

2 gallons=50%

3 gallons=75%

3/4 is equivalent to 75%

Hope this helped!

Option 1: An initial investment of $5 that increases by 50% every year

as after 20 years, it amounts to a greater value.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

The given situations can be modeled as a geometric sequence.

Option A :

a₁ = 5, r = 1.5.

We know Sₙ = a₁(rⁿ - 1)/(r -1).

Sₙ = 5(1.5ⁿ - 1)/(1.5 - 1).

Sₙ = 5(1.5ⁿ - 1)/(0.5).

Let us see for n = 20, 20th year.

S₂₀ = 5(1.5²⁰ - 1)/(0.5).

S₂₀ = 5(3324.25)/(0.5).

S₂₀ = 33242.5.

Option B :

a₁ = 0.01 and r = 2.

Sₙ = 0.01(2ⁿ - 1)/(1).

S₂₀ = 0.01(2²⁰ - 1)/(1).

S₂₀ = 10,485.75

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A quadratic function h is \(h=x^2+2x-35\).

The quadratic function can be represented by quadratic equation in the Standard form: \(ax^2+bx+c=0\), where a,b and c are your respective coefficients.

When you have the both root of this function, you can convert these roots in factors. After that, you should rewrite the equation.

        The given roots are: \(x_1=5\) and \(x_2=-7\)

         Multiplying by -1

       \(x_1=-5\) and \(x_2=7\)

      Express the equation in factors using the roots

         \(h=(x-5) * (x+7)\\ \\ h=x^2+7x-5x-35\\ \\ h=x^2+2x-35\)

Therefore, \(h=x^2+2x-35\).

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The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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Answer:

D) x2 – 10x + 29

Answer:

its D!!

Step-by-step explanation:

screenshot attached

The second approximation x2 is 2.875

and the third approximation x3 is 2.806

The root of the equation = \(4x^7 + 5x^4 + 3 = 0\)

using Newton's method.

The initial approximation x1 = 3.

Calculate the function value and derivative at x1:

\(f(x1) = 4(3)^7 + 5(3)^4 + 3 = 4083\\f'(x1) = 4(7)(3)^6 + 5(4)(3)^3 = 32640\)

We then apply Newton's method formula to find x2:

\(x_2 = x_1 - f(x_1)/f'(x1)\\x_2 = 3 - 4083/32640 = 2.875\)

\(f(x2) = 4(2.875)^7 + 5(2.875)^4 + 3 \\f(x2) = 46.48\\f'(x2) = 4(7)(2.875)^6 + 5(4)(2.875)^3 \\f'(x2) = 603.75\)

x3 = x2 - f(x2)/f'(x2)

x3 = 2.875 - 46.48/603.75

= 2.806

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Answer:

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

There are various combinations of coins.

In total there are:

Answer:

Step-by-step explanation:

Work is said to be done when force applied to an object causes the object to move through a distance.

Work done = Force * perpendicular distance.

\(\int\limits^a_b {F} \, ds\)

Given Force F = xy i + (y-x) j and a straight line (-1, -2) to (1, 2)

First we need to get the equation of the straight line given.

Given the slope intercept form y = mx+c

m is the slope

c is the intercept

m = y₂-y₁/x₂-x₁

m = 2-(-2)/1-(-1)

m = 4/2

m = 2

To get the slope we will substtutte any f the point and the slope into the formula y = mx+c

Using the point (1,2)

2 = 2+c

c = 0

y = 2x

Substituting y = 2x into the value of the force F = xy i + (y-x) j we will have;

F = x(2x) i + (2x - x) j

Using the coordinate (1, 2) as the value of s

\(W = \int\limits^a_b ({2x^2 i + x j}) \, (i+2j)\\W = \int\limits^a_b ({2x^{2}+2x }) \, dx \\W = [\frac{2x^{3} }{3} +x^{2} ]\left \ x_2=1} \atop {x_1=-1}} \right.\\W = (2(1)^3/3 + 1^2) - (2(-1)^3/3 + (-1)^2)\\W =(2/3+1) - (-2/3+1)\\W = 2/3+2/3+1-1\\W = 4/3 Joules\)

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

The probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

The distribution of the puppies is given as:

4 ​poodles, 5 ​terriers, and 2 retrievers

The probability of selecting a terrier is;

P(terrier) = 5/11

The probability of selecting a retriever is;

P(retriever) = 2/11

The required probability is

P = 5/11 * 2/11

Evaluate

P = 10/121

Hence, the probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

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To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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Answer:

Emily raised $37.50

Justin raised $57.50

Step-by-step explanation:

(Step 1)

Say "x" equals the amount of money Emily made and "y" equals the amount of money Justin made. You can set up an equation with both of these variables because we know that they made a combined $95.

x = Emily's earnings

y = Justin's earnings

Emily + Justin = 95

x + y = 95

(Step 2)

The fact that there are two variables makes it difficult to find how much each person made individually. However, we can eliminate the "y" variable when we remember that Justin made $20 more than Emily. Now, we can substitute "x + 20" in for "y".

x + 20 = y

x + y = 95

x + (x + 20) = 95

(Step 3)  

Finally, we can solve for the "x" variable.

x + (x + 20) = 95

2x + 20 = 95                                <------ Combine like terms

2x = 75                                         <------ Subtract 20 from both sides

x = 37.5                                        <------- Divide both sides by 2

(Step 4)

Since we know the value of "x", we can plug it into one of the equations to find the value of "y".

x + 20 = y

37.5 + 20 = y

y = 57.5

Answer:

Emily raised $37.5 and justin raised $57.5

Answer:D

Step-by-step explanation:

Answer:

A

E

F

Step-by-step explanation: there the even ones

Answer:

62.8 meters

Step-by-step explanation:

Use the formula for circumference.

\(C = d\pi \\C = 20(3.14)\\C = 62.8\)

A) If out of 92 cars in the train 49 are boxcars, then 92-49 = 43 cars are not boxcars.

B) We can calculate the fraction of the cars that are not boxcars as:

Answer:

A) 43

B) 0.4674

Answer:

I believe it should be A

Step-by-step explanation:

Answer:

Answer:A. gross pay − deductions = net income

Step-by-step explanation:

The first step is to find the values of x and y. From the information given,

x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below

3x + 5y = 50

x + 5y = 31

From the second equation,

x = 31 - 5y

We would substitute x = 31 - 5y into 3x + 5y = 50. We have

3(31 - 5y) + 5y = 50

By expanding the parentheses, we have

93 - 15y + 5y = 50

- 15y + 5y = 50 - 93

- 10y = - 43

Dividing both sides of the equation by - 10,

- 10y/- 10 = - 43/- 10

y = 4.3

Substituting y = 4.3 into x = 31 - 5y, we have

x = 31 - 5 * 4.3 = 31 - 21.5

x = 9.5

If an adult ticket costs $9.5, then the cost of 4 adult tickets is

4 x 9.5 = $38

The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.

Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.

It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.

The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.

Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.

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The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer:

B

Step-by-step explanation:

edg 2021

Answer: b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

According to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22.

What is Statistics ?

Statistics is a branch of mathematics that deals with collecting, analyzing, interpreting, presenting, and organizing data. It provides methods and techniques to make sense of complex data sets, to draw conclusions and make decisions based on the data. Statistics can be applied to a wide range of fields, including business, economics, social sciences, medicine, and many others. Some key topics in statistics include probability theory, hypothesis testing, regression analysis, and data visualization.

Minimize:

Z = 110X11 + 120X12 + 120X21 + 130X22

Subject to:

X11 + X12 ≤ 1500 (capacity constraint for Amarillo)

X21 + X22 ≤ 3300 (capacity constraint for Charlotte)

X11 + X21 ≥ 2100 (demand constraint for Detroit)

X12 + X22 ≥ 1000 (demand constraint for Atlanta)

where:

X11 = number of components produced in Amarillo and supplied to Detroit

X12 = number of components produced in Amarillo and supplied to Atlanta

X21 = number of components produced in Charlotte and supplied to Detroit

X22 = number of components produced in Charlotte and supplied to Atlanta

Therefore, according to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22

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This problem is solved using a Poisson distribution. This is because we have an average number of events happening in a certain time frame. In this case, that time frame is 1 day.

In this case, the average is mu = 2, which is the number of tools rented per day.

What we need to do is find P(x = 0), P(x = 1) and P(x = 2) which represent the probabilities of renting x = 0, x = 1, and x = 2 tools out respectively. Once we know those three items, we add them up to get P(x <= 2). This is the probability of getting at most 2 requests.

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

Evaluate the probability when k = 0

P(x = k) = ( mu^k*e^(-mu) )/(k!)

P(x = k) = ( 2^k*e^(-2) )/(k!)

P(x = 0) = ( 2^0*e^(-2) )/(0!)

P(x = 0) = 0.135335

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

Repeat for k = 1

P(x = k) = ( 2^k*e^(-2) )/(k!)

P(x = 1) = ( 2^1*e^(-2) )/(1!)

P(x = 1) = 0.270671

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

Repeat for k = 2

P(x = k) = ( 2^k*e^(-2) )/(k!)

P(x = 2) = ( 2^2*e^(-2) )/(2!)

P(x = 2) = 0.270671

We get the same result because (2^1)/(1!) = (2^2)/(2!)

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

Now add up those three results

P(x <= 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x <= 2) = 0.135335 + 0.270671 + 0.270671

P(x <= 2) = 0.676677

The probability that the firm can meet demand is roughly 0.676677

Round this however you need to

9514 1404 393

Answer:

  (d)  y = 1/2sin(2x)

Step-by-step explanation:

The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.

For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...

  y = 1/2sin(2x)

The expanded form of log4(4 / [7x^2]) is 1 - log4(7) - 2 * log4(x)

To expand the expression log4(4 / [7x^2]), we can use logarithmic properties to simplify it. First, we can rewrite the numerator as a power of the base 4:

log4(4) - log4(7x^2)

Since log4(4) is equal to 1 (since 4 raised to the power of 1 equals 4), the expression becomes:

1 - log4(7x^2)

Next, we can apply the logarithmic property log_a(b^c) = c * log_a(b) to simplify the logarithm of a product:

1 - (log4(7) + log4(x^2))

Using another logarithmic property log_a(b^c) = c * log_a(b), we can simplify the expression further:

1 - (log4(7) + 2 * log4(x))

Therefore, the expanded form of log4(4 / [7x^2]) is:

1 - log4(7) - 2 * log4(x)

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