what is 8+4=2(x-1), someone help me.

Answer:

c^4 + 8c^3 - 3c^2 - 7c

Step-by-step explanation:

Simplify (−3c 4 −5c 2 −7c) + (4c 4 +8c 3 +2c 2 ),

Which will take you the second portion of -3c^4 - 5c^2 - 7c + 4c^4 + 8c^3 + 2c^2

Combine like terms : 3c^4 + 4c^4 + 8c^3 - 5c^2 + 2c^2 - 7c

Add Similar elements: c^4 + 8c^3 - 5c^2 + 2c^2 - 7c

Do the final combining leaving you with the answer of :

c^4 + 8c^3 - 3c^2 - 7c

Derek needs to make contributions of approximately $21,038.34 per year from his 26th birthday to his 65th birthday in order to accumulate $2,742,310.00 in his retirement account by the time he fully retires.

To determine the amount Derek needs in his retirement account on his 65th birthday, we can use the concept of present value. Since he plans to withdraw $184,036.00 per year, starting from his 66th birthday until his 90th, the cash flows can be treated as an annuity. The interest rate is 5.00%, and the time period is 25 years (from 66 to 90). Using the formula for the present value of an annuity, we can calculate the required amount. The formula is:

PV = PMT * (1 - \((1 + r)^(-n)\)) / r

where PV is the present value, PMT is the annual withdrawal amount, r is the interest rate per period, and n is the number of periods.

Plugging in the values, we get:

PV = $184,036.00 * (1 - \((1 + 0.05)^(-25)\)) / 0.05 ≈ $2,744,607.73

Therefore, Derek needs approximately $2,744,607.73 in his retirement account on his 65th birthday to cover his desired annual withdrawals.

Moving on to the second part, Derek plans to make contributions to his retirement account from his 26th birthday to his 65th birthday. To reach his goal of having $2,742,310.00 in his retirement account after fully retiring, we can calculate the necessary contributions using the formula for the future value of an ordinary annuity:

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

Rearranging the formula, we can solve for the required contributions (PMT):

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

Plugging in the values, we get:

PMT = $2,742,310.00 * (\(\frac{0.05} {((1+0.05)^{39}-1 )}\))≈ $21,038.34

Learn more about interest here:

https://brainly.com/question/25720319

#SPJ11

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

Know more about multiplication principle here:https://brainly.com/question/10275154

#SPJ1

The second derivative function of y = 0² (60 + 7) is y'' = 0.

To calculate the second derivative (y'') of the function y = 0² (60 + 7), to differentiate the function twice with respect to the independent variable.

calculate the first derivative (y')

y = 0² (60 + 7)

Using the power rule of differentiation, the derivative of 0² is 0, and the derivative of (60 + 7) is 0 since it is a constant term. Therefore, the first derivative is

y' = 0

calculate the second derivative (y'')

Differentiating y' = 0 with respect to the independent variable ,

y'' = d/dx (y')

Since y' is a constant (0), its derivative is 0

y'' = 0

To know more about function here

https://brainly.com/question/31062578

#SPJ4

How does cellular respiration help maintain homeostasis in animals?

Answer: Cellular respiration helps animals maintain homeostasis by breaking down glucose to produce ATP, which is the energy currency of the cell. ATP is necessary for many cellular processes that help maintain homeostasis such as active transport and protein synthesis.

Explain why cells separate and expel waste.

Answer: Cells separate and expel waste to prevent the accumulation of toxic substances that can disrupt cellular function and lead to disease. The waste products are transported out of the cell and into the bloodstream where they are filtered and excreted by organs such as the kidneys.

Why do cells in organisms such as animals reproduce?

Answer: Cells in organisms such as animals reproduce to replace damaged or dying cells, and to enable growth and development. Reproduction ensures that the organism maintains the proper balance of cells and that there is enough tissue to perform necessary functions.

Explain how plant cells use photosynthesis to maintain homeostasis?

Answer: Plant cells use photosynthesis to maintain homeostasis by converting light energy into chemical energy in the form of glucose. This glucose is then used to produce ATP, which is necessary for cellular processes such as active transport and protein synthesis. Additionally, plants use photosynthesis to produce oxygen, which is necessary for respiration.

I hope this helps :)

Answer:

c is the answer

Step-by-step explanation:

Answer:

Answers                                                     Work

a.60 miles in one hour                               420/7                

b.12 customers in one day                        360/30

c.2.5 meters in I second                            40/16

d.$1.59 for 1 pound                                   7.96/5

Step-by-step explanation:

The estimated total cost of the clothes in your cart is $104.

Estimated costs are approximate projections of future costs associated with producing goods or completing a project. This includes both fixed and variable costs such as labor, materials and capital. Cost forecasting is very important for project-based companies. Upon notice, the parties must comply with the Fixed Price Agreement. Based on the prices you provided, the estimated cost of the items in your cart would be:

$23 (shirt) + $38 (trousers) + $17 (sweatshirt) + $26 (shoes) = $104

Therefore, the estimated total cost of the clothes in the cart is $104. However, please note that this is only an approximation and actual costs may vary due to factors such as sales tax and applicable discounts. 

To know more about variable costs visit:

https://brainly.com/question/30355738

#SPJ1

The longest possible distance between two points on the surface of a sphere is equal to the diameter of the sphere. In this case, the volume of the sphere is given as 36 m³.

The volume of a sphere is given by the formula V = (4/3)πr³, where V is the volume and r is the radius. Rearranging the formula, we can solve for the radius as r = (3V/(4π))^(1/3).

Substituting the given volume of 36 m³ into the formula, we have r = (3*36/(4π))^(1/3) = (27/π)^(1/3) ≈ 2.1848 meters.

Therefore, the diameter of the sphere, and hence the longest possible distance between two points on its surface, is equal to 2 times the radius, which is approximately 2 * 2.1848 = 4.3696 meters.

Therefore, none of the given options A, B, C, or D match the longest possible distance between the two points through the sphere.

To learn more about surface click here: brainly.com/question/1569007

#SPJ11

Answer:

The graph in the middle with points all around the place would be the answer.

Step-by-step explanation:

The result of the survey showed no correlation, so there would be no pattern or trend line in the graph. So it cannot be the 1st graph or the 3rd.

The distance a car travels varies directly with the amount of gasoline it uses. If a car uses 28 gallons of gasoline to travel 924 miles, the car can travel 627 miles with 19 gallons of gasoline.

We can set up a proportion to solve the problem:

distance / gasoline = constant

Let's use x to represent the distance the car can travel with 19 gallons of gasoline:

924 / 28 = x / 19

Simplifying and solving for x:

x = (924 / 28) * 19 = 627 miles

Therefore, the car can travel 627 miles with 19 gallons of gasoline.

To know more about car travel:

https://brainly.com/question/6288568

#SPJ4

First frame is for b and second frame is for c

Answer:

23

Step-by-step explanation:

height of building plus x

Answer: Scatter Plot 2

Step-by-step explanation: Usually with graphs like this, anything relative to time (age) will be on the x axis because the text messages depends on the age. This immediately knocks out number 1. Then you just have to start graphing points on the scatter plot and whichever one lines up best, which happens to be #2, is the correct answer.

Hope this helps.

Answer:

51

Step-by-step explanation:

The two tangent lines can be set equal to each other

10x - 19 = 4x + 23

Solve for x

10x - 19 = 4x + 23

-4x         -4x

6x - 19 = 23

    +19    +19

6x = 42

6       6

x = 7

Plug in x and solve for FE

10x - 19 = 10(7)-19 = 51

Answer:

13 inches

Step-by-step explanation:

I have done a Little draw because I don't know how i can explain you this exuse me

The number of plastic tubing needed to fit around the edge of the pool is 423.3 ft².

The number of plastic tubing needed to fit around the area is calculated from the difference between the area of the rectangle and area of the circular pool.

Area of the circular pool is calculated as;

A = πr²

where;

A = π (15 ft / 2)²

A = 176.7 ft²

The area of the rectangle is calculated as follows;

A = length x breadth

A = 20 ft x 30 ft

A = 600 ft²

The number of plastic tubing needed to fit around the edge of the pool is calculated as;

The difference in the area = 600 ft² - 176.7 ft² = 423.3 ft²

Learn more about area of circular pool here: brainly.com/question/18205358

#SPJ1

For the given graph local maximum (2.1,0.7), end behavior is positive infinity to negative infinity, local minimum (-2.7,-4.9), y interception (0,-1.5), and x interception will be at (2.1,0.7).

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given the graph with 1 maximum and 1 minimum and 1 x and y-intercept.

A key feature of the polynomial graph ;

Local maximum (2.1,0.7),

End behavior is positive infinity to negative infinity,

Local minimum (-2.7,-4.9),

y interception (0,-1.5),

x interception (2.1,0.7).

Hence "For the given graph local maximum (2.1,0.7), end behavior is positive infinity to negative infinity, local minimum (-2.7,-4.9), y interception (0,-1.5), and x interception will be at (2.1,0.7)".

For more information about the graph of a function,

brainly.com/question/27757761

#SPJ1

Answer: True

Step-by-step explanation:

Answer:

True..

Hope you will highly rate this answer..

Answer:

11.3

Step-by-step explanation:

Just plug in the known variables.

d = rt

d = 545.79

r = 48.3

545.79 = 48.3t

you need to get T alone

so divide

the end answer is 11.3

Answer:

Step-by-step explanation: Volume is the amount of space something takes up, just add up the numbers once you found them.

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

Learn more about discount here: brainly.com/question/31746893

#SPJ11

For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

Find more exercises on linear equation;

https://brainly.com/question/29739212

#SPJ1

If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

To know more about scale visit:

https://brainly.com/question/4261493

#SPJ4

Answer:

1

Step-by-step explanation:

Should be -3 if i am correct.

Answer:

C. 5

Step-by-step explanation:

The given data can be presented as follows;

\(\begin{array}{ccc}x&&y\\2&\leftrightarrow &1\\3&\leftrightarrow &4\\4&\leftrightarrow &6\\5&\leftrightarrow &7\\6&\leftrightarrow &6\\7&\leftrightarrow &3\\8&\leftrightarrow &2\\9&\leftrightarrow &1\\10&\leftrightarrow &1\end{array}\)

We find the sum of the data points as follows;

n = 1 + 4 + 6 + 7 + 6 + 3 + 2 + 1 + 1 = 31

The median will be located in the (n + 1)/2 th data point

Therefore the median is the (31 + 1)/2 = 16th data point

The sum of the first three bars on the histogram = 11

The sum of the first four bars on the histogram = 18

Therefore, the 16th data point is located in the fourth bar which has x value of 5

The median is therefore, C. 5

(a) The rectangles represent a left sum, as the rectangles are drawn starting from the left endpoints of the intervals.

(b) The rectangles lead to a lower estimate of the integral, as the rectangles are drawn underneath the curve of the function.

(c) The value of n is 5, as there are 5 rectangles drawn.

(d) The value of Δx is 1, as the interval between the limits 0 to 6 is divided into 5 equal parts.

(e) The approximate value of the integral g(x)dx between the limits 0 to 6 is 22.5.

left-end points:

\(g(0)\)Δ\(x\) \(+ g(2)\)Δ\(x + g(4)\)Δ\(x\)

Right-end points:

\(g(2)\)Δ\(x + g(4)\)Δ\(x + g(6)\)Δ\(x\)

\((g(2)+g(4)+g(6))^{2}\)

Δ\(x=\frac{b-a}{n}\)

   \(2=\frac{6-0}{n} \\\\2=\frac{6}{n}\\\\n=\frac{6}{2}=3 \\\\n=3\)

Δ\(x=2-0=2\) (each sub-interval length)

\(g(x)=x^{2} \\\\\int\limits^6_0{g(x)} \, dx = \int\limits^6_0 {x^{2} } \, dx\)

              \(=[\frac{x^3}{3} ]^6_0\\\\=\frac{6^3}{3} -0\\\\=72\)

The integral can be evaluated using the Fundamental Theorem of Calculus, which states that the integral of a function \(f(x)\) with respect to \(x\)from \(a\) to \(b\) is equal to the difference between the values of the antiderivative of \(f(x)\) evaluated at \(b\) and at \(a\).

Therefore, the integral of \(f(x)\) from \(a\) to \(b\) is given by:

\(\int\limits f{(x)} \, dx =f(b)-f(a)\)

where\(F(x)\) is the antiderivative of \(f(x)\).

In this case, the antiderivative of f(x) is given by \(F(x) = \frac{x2}2 + c\), where \(c\) is the constant of integration. Therefore, the integral of f(x) from \(a\) to \(b\) is given by:

\(\int\limits f(x)dx = F(b) - F(a)\\\\= (\frac {b2}{2} + c) - (\frac{a2}{2} + c)\\\\= \frac{(b2 - a2)}{2}\)

To learn more about Integration, visit:

brainly.com/question/18125359

#SPJ4

The height of the cylinder jar is 6/4 centimeters

The formula for determining the volume of a cylinder is expressed with the equation;

V = πr²h

Such that the parameters are;

From the information give, we have that;

Volume = 24π cubic centimeters

Radius = 4cm

Now, substitute the values into the formula

24π = π(4)²h

find the square

24π = 16πh

Make 'h' the subject of formula, we get;

h = 24π/16π

h = 24/16

h = 6/4

Hence, the value is 6/4

Learn about cylinders at:

https://brainly.com/question/76387

#SPJ1

Answer:

Leena consumed 1,500 calories at dinner

Step-by-step explanation:

The reason the answer is Leena consumed 1,500 calories at dinner is because she consumes 2/3 of her daily calories at dinner.

The system of equations has one solution, so it is consistent and independent, the correct option is C.

Here we have the system of equations:

x = 5

y = 6

-x - y + z = 0

By replacing the first and second equations into the third one, we get:

-5 - 6 + z = 0

-11 + z = 0

z = 11

So the solution is (5, 6, 11)

So it is consistent, and it is independent as clearly, the equations are linearly independent (system of 3 equations with 3 variables having only one solution).

Then the correct option is C.

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1