Please help please show the step by step explanation:)

the decrease in emissions is due to the increase in alternative energy use. The alternative and nuclear energy use of the U.S. is given in the table below.
(Source: data.worldbank.org)
Year 2000 2003 2005 2008 2010 2011 2012
% of total
energy use 10.7696 10.6167 10.6213 11.1977 11.7184 11.9921 12.0645
Find a cubic model for this data and use it to predict the alternative energy use for 2016.

Answer:

Step-by-step explanation:

Hello, please consider the following.

\(q(t) = 4t^3-1\\\\(qop)(t)=q(p(t))=4\left( p(t) \right) ^3-1=4t-21\\\\p(t)^3=\dfrac{4t-21+1}{4}=\dfrac{4(t-5)}{4}=t-5\\\\p(t)=\sqrt[3]{t-5}\)

Cheers.

Taking into account the definition of composite function, the function p(t) is \(\sqrt[3]{t-5}\).

The composite function is one that is obtained through an operation called composition of functions, which consists of evaluating the same value of the independent variable (x) in two or more functions successively.

In other words, a composite function is generally a function that is written inside another function. The composition of a function is done by substituting a function into another function.

Solving a composite function means finding the composition of two functions.

The expression of the composite function (q∘p)(t) is read "p composite with q". This means that you should do the following compound function: q[p(t)].

The function s(t) = 4t – 21 is a result of the composition (q ∘ p)(t). And q(t)=4t³ – 1. Then:

s(t)= q[p(t)]

4t -21= 4[p(t)]³ – 1

Solving:

4t -21 +1= 4[p(t)]³

4t -20 = 4[p(t)]³

(4t -20)÷ 4 = [p(t)]³

4t÷4 -20÷ 4 = [p(t)]³

t -5 = [p(t)]³

\(\sqrt[3]{t-5}=p(t)\)

Finally, the function p(t) is \(\sqrt[3]{t-5}\).

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Answer:

let the first and second table box as 12345 and abcde

1,a

2,c

3,e

4,b

5,d

Step-by-step explanation:

you can use

y=mx+b form m is slope , b is y intercept

m with variable x and b without any variable I.e it is real value

Answer:

no

Step-by-step explanation:

because 3;2 is more the 2;3 as you know if you do it as a fraction it would be 3 over 2 and 2 over 3 the 3 over 2 whould be a whole and the 2 over 3 would be 3 forths of a whole and the 3 over 2 would be more

Answer:

152.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

step one:

Given the expression  13x(9y – 12) we are expected to expand the expression to obtain a similar expression given in the options

step two

we proceed by

\(= 13x(9y-12)\\\\=(117xy-156x)\)

step three

we proceed to both terms in the expression

bt a common factor which is 39

\(\frac{117xy}{39}-\frac{156x}{39}\)

\(3xy-4x\)

From our analysis, the option D matches the expression

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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The prices of the package by applying 35%,20%,15%,10% discounts are $87.75, $108,$114.75,$121.5.

A discount is basically reduction in price of product by the seller. It is given to increase the sales of the product. It can be a percentage of price or a single number also.

We have the price of the service package by a nail salon if he is giving 35%,20%,15% and 10% discount.

When 35% discount is given the price of the service packge will be 135*65%=$87.75.

When 20% discount is given the price of the service packge will be 135*80%=$108.

When 15% discount is given the price of the service packge will be 135*85%=$114.75.

When 10% discount is given the price of the service packge will be 135*90%=$121.5.

Hence the prices of the package by applying 35%,20%,15%,10% discounts are $87.75, $108,$114.75,$121.5.

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

The distance between two points (x1,y1) and (x2,y2) = √((x1-x2)2+(y1-y2)2) Distance between A and B = √((5--2)2+(4-1)2) = √(72+32) = √(49+9) = √58 = 7.62 Distance between A and C = √(12+82) = √65 = 8.06 Point B is closer to A. Another method to solve this problem is to draw the points on a graph paper and measure distance with a ruler.

Answer:

B

Step-by-step explanation:

|AB|=\(\sqrt{(1-4)^{2}+(-2-5)^2 }=\sqrt{58}\)

|AC|=\(\sqrt{(-4-4)^{2}+(4-5)^2 }=\sqrt{65}\)

8x + y = -16

3x + y = -5

The first to take is to subtract the second equation from the first equation

This will eliminate the y-variable leaving you with jus x-variable

That is;

5x = -11

x = -11/5

Point Form:

(1,3) (5,-9)

Equation Form:

x=1 y=3

x=5 y=-9

solve for the first variable in one of the equations, then substitute the result into the other equation.

The negative amortization at the end of year 1 is $2536.50

For the year 1 there will be still 12% rate of interest going on. There is a negative balance of $200 after payment of 1st month installment.

Thus negative amortization = FV(0.01x12 - 200)

Here 0.01 is the interest per month, 12 is the number of months in a year and -200 is the negative balance in first month

negative amortization = FV(0.01x12 - 200)

The negative amortization at the end of year 1 = $2536.50

The negative amortization at the end of year 5

The loan balance at the end of year 4 = FV(0.13x12x36x800 - 102536)

The loan balance at the end of year 4 = $16132.46

The negative amortization at the end of year 1 is $2536.50

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Answer:

2(4z − 3 − 1) = 166 − 46

8z − 6 − 2 = 120

8z − 8 = 120

8z = 128

z = 16

pls give the brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have to multiply 2(4z - 3 - 1 ). so 2 * 4z = 8z. so then you would do 2 * (-3) = -6. then you would do the same with -1. 2* (-1) = -2.

now you have to put it back in equation form. 8z - 6 - 2 = 166 - 46. now you have to combine like terms. -6-2 = -8. 166 - 46 = 120. and then put it back into equation form. 8z - 8 = 120. then you add 8 to 120. 120+8 = 128. now to find z all you have to do is divide 128/8 = 16

z = 16  

Answer:

Step-by-step explanation:

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

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

r = -11

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1) = slope

(5-r)/(4-8) = -4

(5-r)/ -4 = -4

5-r = 16

-r = 11

r = -11

im not sure but i beleive this is how you do it.

you find the agreegable slope, and then multiply it by the y value.

hope this helps! :)

Answer:

always a positive number because it represents a distance from the mean.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The standard deviation for a standard normal distribution is always equal to 1.

σ = 1

Option B is the correct answer.

A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.

It measures the unusual or extreme a particular data point is compared to the rest of the distribution

We have,

The variable that always equals 1 for a standard normal distribution is the standard deviation, which is denoted by the Greek letter sigma (σ).

The standard normal distribution has a mean of 0 and a standard deviation of 1, so its probability density function is:

f(x) = (1/√(2π)) \(e^{-x^2/2}\)

where e is the mathematical constant approximately equal to 2.71828, π is the mathematical constant approximately equal to 3.14159, and √(2π) is the square root of 2 times π, which is approximately equal to 2.50663.

The probability density function represents the relative likelihood of observing a value x in the standard normal distribution.

Since the standard deviation is always 1, the formula for calculating the probability of observing a value x is:

P(x) = f(x) = (1/√(2π)) \(e^{-x^2/2}\)

Therefore,

The standard deviation for a standard normal distribution is always equal to 1.

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Answer:

5

Step-by-step explanation:

This equation is in y = mx + b form, or, the standard form of a line.

m represents the slope, and b represents the y-intercept. No b means that the y-intercept is 0.

The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

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Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

168 students are enrolled in both classes.

This is a problem from set theory. We can solve this problem by following a few steps easily.

First of all, we have to calculate the students present in both classes.

Student present in both classes = the total student - the student not enrolled in both classes.

So the percentage of the students enrolled in both classes or any of one class is ( 100% - 42% ) = 58%.

Now, the students only enrolled in chorus class is ( 58% - 34%) = 24%

So, the students who joined both classes is ( 28%- 24%)= 4%

The total student is 1200, then 4% of the total student is

( 1200 × 14 )/100 = 168 students.

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Answer:

2 2/5

Step-by-step explanation:

3 * 4/5

~Make the whole number a fraction by adding a 1 as the denominator

3/1 * 4/5

~Multiply both numerators and denominators

12/5 or 2 2/5

Best of Luck!

Answer:

12/5 :)

Step-by-step explanation:

3/1 x 4/5

3x4/1x5

12/1x5

12/5

Answer:

To solve this problem, we will use the following steps:

Step 1: Let's assume that the larger number is x and the smaller number is y, we know that the difference between the two numbers is 9, so we can write the equation: x-y = 9

Step 2: We know that Four times the larger number plus one-half the smaller is 45, so we can write the equation: 4x + 0.5y = 45

Step 3: Now we have two equations with two unknowns, we can solve for one of the unknowns by isolating it in one of the equations.

x-y = 9

x = y+9

Step 4: Now we can substitute the value of x in the second equation

4(y+9) + 0.5y = 45

4y + 36 + 0.5y = 45

4.5y + 36 = 45

4.5y = 9

y=2

Step 5: We can substitute the value of y in one of the equation, to find the value of x

x-2 = 9

x = 11

Final Answer: The two numbers are 11 and 2.

Option(a) is the correct answer.

The inequality is:

|X+6|- 12 < 13

Here we can add 12 to both sides:

|X+6| <13 + 12

⇒|X+6| <25

⇒|X+6| < 25

We can separate it into two equations:

if x > -6, then |X+6|  = x + 6

⇒ (x + 6) < 25

⇒x < 25 - 6

⇒ x <  19

if x < -6, then |X+6|  = -(x + 6)

⇒-(x + 6) < 25

⇒ -x < 31

 ⇒ x > -31      (changing the sign)

And with those two equations, we get the:

-31 < x < 19

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Answer:

-9/4 divide (-2/3)

Step-by-step explanation:

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

9

Step-by-step explanation:

s=18

e=4*s=72

e+x=3(s+x)

e+x=3s+3x

e-3s=2x

18=2x

x=9