PLEASE HELP!!! Which statement is true about the function f(x) = 5x4?

In order to determine the economy's real GDP growth rate between two time periods, we should look at real national income in each time period, which is equal to nominal national income corrected for price-level changes.

Therefore, the correct option is A.

Real national income is the total income generated by the economy in a particular time frame. It reflects the total output of the economy during a given period of time adjusted for inflation. It's calculated by adjusting nominal national income for price changes or inflation.

To calculate real national income, economists use a deflator index, which is a price index. It calculates the difference in price level between the base year and the current year for each item produced.

As a result, economists can figure out how much of the change in nominal national income from one year to the next is due to price level changes.

Hence, the answer of the question is A

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The number of solutions that are there for this system of equation is: C. no solution.

In order to solve the given system of equations, we would apply the substitution method. Based on the information provided above, we have the following system of equations:

3x + 6y = 0      .......equation 1.

x + 2y = 0         .......equation 2.

By making x the subject of formula in equation 2, we have the following:

x = -2y           .......equation 3.

By using the substitution method to substitute equation 3 into equation 1, we have the following:

3(-2y) + 6y = 0

-6y + 6y = 0 (No solution).

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Answer:

Step-by-step explanation:

\((i)\\\\2A = \begin{pmatrix}3x \times 2 & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}\)

\(\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}\)

\(\implies \dfrac{x}{-17 -93} = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1\)

Answer:

  (i)

  \(2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right]\)

  (ii) 6x+y=31; 4x-3y=17

  (iii) (x, y) = (5, 1)

Step-by-step explanation:

The matrix 2A is written by multiplying each element of A by 2.

  \(2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right]\)

__

Variables are seen in elements (1, 1) and (2, 2) of the matrices A and B, so the simultaneous equations can be chosen from those elements of the equation 2A+B=C.

__

A graphing calculator shows the solution to be (x, y) = (5, 1).

Answer:

Quadratic formula

Answer:

Let x be the original number.  Also, please note that a percentage can be written as a decimal(54%=0.54), and that a percentage increase is the percent +1(A 54% increase is x*1.54), and that a percentage decrease is 1- the percent(A 54% decrease is 0.46)

1)1.8*0.6x= 1.08x (greater than the original)

2).6666*1.5x=0.9999x (same as original)(.999999 is essentially 1, because .3333 is not equal to 1/3)

3)x+25-30 = x-5 (less than original)

4)0.5*2x=x (same as original)

5)1.2*.75x=.9x (less than original)

Hope it helps <3

Greater than the original.

Same as the original.

Less than the original.

Same as the original.

Less than the original.

To check all the scenarios, let's say that the original value is 100.

An 80% increase followed by a 40% decrease:

100 * (1 + 0.8) = 100 * 1.8 = 180.

180 * (1 - 0.4) = 180 * 0.6 = 108.

It is greater than the original.

A 33 1/3% decrease followed by a 50% increase:

100 * (1 - 0.33333333) = 100 * 0.6666666667 = 66.666666667.

66.6666666667 * (1 + 0.5) = 66.666666667 * (3/2) = 100.

It is the same as the original.

A $25 increase followed by a $30 decrease:

100 + 25 = 125.

125 - 30 = 95.

It is less than the original.

A 50% decrease followed by a 100% increase:

100 * (1 - 0.5) = 100 * 0.5 = 50.

50 * (1 + 1) = 50 * 2 = 100.

It is the same as the original.

A 20% increase followed by a 25% decrease:

100 * (1 + 0.2) = 100 * 1.2 = 120.

120 * (1 - 0.25) = 120 * 0.75 = 90.

It is less than the original.

Answer:

15x +147

Step-by-step explanation:

To write Acos(?0t) + Bsin(?0t) in the form r*sin(?0t - ?), we can use the identities. The relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2), tan? = r/R = B/A

r = sqrt(A^2 + B^2)
tan? = B/A

Therefore, r = sqrt(A^2 + B^2) and tan? = B/A.

To determine the relationship among R, r, ? and ?, we can use the identity:

R^2 = r^2 + (tan?)^2

Therefore, R = sqrt(r^2 + (tan?)^2) and tan? = r/R. Substituting the expression for tan? from earlier, we get:

tan? = B/A = r/R

Solving for R, we get:

R = r/tan? = r/(B/A) = rA/B

And substituting the expression for R in terms of r and tan?, we get:

R = sqrt(r^2 + (r/R)^2) * A/B

Simplifying this expression, we get:

R^2 = r^2 + (A/B)^2 * r^2

R^2 = r^2 (1 + (A/B)^2)

Therefore, the relationship among R, r, ? and ? is:

R^2 = r^2 (1 + (A/B)^2)
tan? = r/R = B/A

To show that Acos(ω₀t) + Bsin(ω₀t) can be written in the form r*sin(ω₀t - θ), we can use trigonometric identities. We know that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Comparing this to the given expression, we have:

Acos(ω₀t) + Bsin(ω₀t) = r*sin(ω₀t - θ) = r[sin(ω₀t)cos(θ) - cos(ω₀t)sin(θ)]

Now, let's equate the coefficients of sin(ω₀t) and cos(ω₀t):

A = -r*sin(θ)
B = r*cos(θ)

To find r and θ in terms of A and B, we can use the Pythagorean identity:

A² + B² = (-r*sin(θ))² + (r*cos(θ))² = r²(sin²(θ) + cos²(θ)) = r²

Therefore, r = √(A² + B²).

Now, to find θ, we can use the tangent function:

tan(θ) = -A/B

Now, for the second part, if Rcos(ω₀t - θ) = r*sin(ω₀t - θ), we can use the sine-to-cosine transformation:

Rcos(ω₀t - θ) = Rsin(ω₀t - θ + π/2)

This implies that:

R = r
θ + π/2 = θ'

So, the relationship among R, r, θ, and θ' is:

R = r
θ' = θ + π/2

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If there is an axis deviation, it can result in a reversal of the QRS complex polarity in certain leads. Leads that normally have positive QRS complexes may have negative QRS complexes, and vice versa.

For example, if there is a left axis deviation, leads I and aVL, which normally have positive QRS complexes, may have negative QRS complexes.

Axis deviation refers to the direction in which the electrical activity is traveling through the heart. If the electrical activity is deviated from its normal pathway, it can cause a change in the orientation of the QRS complex, which is a graphical representation of the electrical activity generated by the ventricles during the cardiac cycle.

The change in polarity occurs because the direction of the electrical activity is now opposite to what it would be in a normal heart. This change in polarity can be used to help diagnose the location and type of axis deviation. Understanding the significance of the polarity changes can help healthcare providers determine appropriate treatment plans for patients.

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Answer:

b or c

Step-by-step explanation:

Answer:

A. Angles 4 and 5 are Alternate Interior Angles.

Answer:

-1 ± 2√10

Step-by-step explanation:

first of all, do -2 on top divided by 2 on bottom to get 1st part of answer -1.

now (2√40) / 2 = 1√40 which just equals √40.

√40 = √(4 X 10) = √4 X √10 = 2 X √10 = 2√10.

so our final answer becomes -1 ± 2√10

Answer:

y= -1/6z + 6

Step-by-step explanation:

to turn 6 into a perpendicular

Answer:

3

Step-by-step explanation:

27x^0y^-2

Let x= 4 and y = 3

Anything to the zero power is 1  ( except 0)

27 * 1 * 3 ^-2

We know

a^ -b = 1/a^b

27 * 1 * 1/3^2

27 * 1 * 1/9

3

Answer: 3 hehehehehheheheh

The population mean is approximately 18.

To find the population mean, we need to calculate the average of all the data values in the population.

Given the data values 12, 8, 28, 22, 12, 30, and 14, we can add them together and divide by the total number of values (which is 7) to find the population mean.

Sum of data values = 12 + 8 + 28 + 22 + 12 + 30 + 14 = 126

Population mean = Sum of data values / Total number of values = 126 / 7≈ 18

Therefore, the population mean is approximately 18.

It's worth noting that this calculation assumes that the given data represents the entire population. If the data is a sample from a larger population, the mean calculated from the sample would be an estimate of the population mean rather than the true population mean.

In that case, statistical techniques can be used to estimate the population mean based on the sample mean and other relevant information, such as confidence intervals or hypothesis tests.

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The two sides of an inequality are not the same so inequality can never be true.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that the inequality is 2(3x - 1) +4> 6x + 2. The inequality will be solved as below;-

2(3x - 1) +4> 6x + 2

6x - 2 + 4 > 6x + 2

6x + 2 > 6x + 2

The two sides are equal so inequality can never be true.

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The factored form of the given trinomial expression: x² + 0x - 9 after using the diamond method is (x + 3)(x - 3).

The diamond method, also known as the box method or the X method, is a visual method for factoring quadratic trinomials of the form ax^2 + bx + c, where a, b, and c are constants.

The diamond method involves four steps:

Step 1: Write down the trinomial in standard form: ax² + bx + c.

Step 2: Draw a box and divide it into four cells by drawing a diagonal line.

Step 3: Write the coefficient a in the upper left cell of the box and the constant term c in the lower right cell.

Step 4: Find two numbers whose product is ac (the product of the coefficients of the leading and constant terms) and whose sum is b (the coefficient of the middle term).

Yes, there is another way to rewrite the trinomial that can make factoring easier. The trinomial x² + 0x - 9 can be rewritten as:

x² - 9

This is a difference of squares because 9 is a perfect square and can be written as 3². So, we can factor this expression using the formula for the difference of squares:

x² - 9 = (x + 3)(x - 3)

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Answer:

1.804 L

Step-by-step explanation:

Answer:

697cm³

Step-by-step explanation:

Volume = Base area* Height

= 17 x 10* 4.1

= 697cm³

Answer:

I thinks its 30

Step-by-step explanation:

because they add 3 twice then 2 twice to sooooooo yeh

Answer:

A

Step-by-step explanation:

Revenues and expenses are closed every year so that the profit or loss can be determined for the yearly period.

Answer:

348 of them are not postgraduates

Step-by-step explanation:

Answer:

348

Step-by-step explanation:

Out of 725 employees, 52% are postgraduates.

First find the percentage who are not postgraduates, or the "remaining."

100% - 52% = 48%

48% of 725 employees = how many employees?

48/100 × x/725

Cross multiply

48 × 725 = 100 × x

34800 = 100x

Divide both sides by 100

34800 ÷ 100 = 100x ÷ 100

348 = 1x

348 employees are not postgraduates

The total simple interest earned by Liz at the end of 5 years is found as: $28.5

A straightforward but effective idea. Very simply: interest is the benefit for saving - and the penalty of borrowing.

Principal P = $570

Interest r = 1%

Time t = 5 years.

SI = P*R*t / 100

SI = 570*1*5 / 100

SI = 28.5

Thus, the total simple interest earned by Liz at the end of 5 years is found as: $28.5.

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The complete question is-

Liz spent her summer break working at Wild Lakes waterpark. At the end of the summer, she put $570 of her earnings into a savings account that earns 1% interest each year. Find her simple interest after 5 years.

The probability that the sample mean would differ from the population mean by greater than 2.4 gallons

To solve this problem, we need to use the central limit theorem and the formula for the standard error of the mean:

Standard error of the mean = standard deviation / square root of sample size

In this case, the standard deviation is the square root of the variance, which is 7. Therefore, the standard error of the mean is:

Standard error of the mean = 7 / square root of 43 ≈ 1.061

Next, we need to calculate the z-score for a difference of 2.4 gallons:

z-score = (sample mean - population mean) / standard error of the mean
z-score = (101 - 101.6) / 1.061 ≈ -0.566

Note that we subtract the population mean from the sample mean because we want to know how much the sample mean differs from the population mean.

Finally, we can use a standard normal distribution table (or a calculator) to find the probability that a z-score is less than -0.566 or greater than 0.566 (since the distribution is symmetric). The probability of a z-sitcore less than -0.566 is approximately 0.2881, so the probability of a z-score greater than 0.566 is also approximately 0.2881. Therefore, the probability that the sample mean would differ from the population mean by greater than 2.4 gallons is:

Probability = 0.2881 + 0.2881 ≈ 0.5762

Rounding to four decimal places, the answer is 0.5762.

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Answer:

D. 0

Step-by-step explanation:

A function must not have 2 or more first number or X that have the same value.

Answer:

f(-2) = -28

Step-by-step explanation:

f(x) = 12x-4

Let x = -2

f(-2) = 12(-2) -4

Multiply

    = -24-4

Add

  = -28

Answer:

7.25

Step-by-step explanation:

58 dollar divided by 8 passes. Each is the same amount, therefore each is 7.25  

The minimum value is 0.5 and the maximum value is 3.5.

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The geometric power series for the function f(x) = 1 / (9 + x), centered at 0, using long division is (9 - x) / ((9 + x) * (9 - x)).

To find a geometric power series for the function f(x) = 1 / (9 + x) using long division, we can start by expanding the function into a fraction:

f(x) = 1 / (9 + x)

To begin the long division process, we divide 1 by 9 + x:

1 ÷ (9 + x)

To simplify the division, we can multiply the numerator and denominator by the conjugate of the denominator:

1 * (9 - x) / ((9 + x) * (9 - x))

Simplifying further:

(9 - x) / (81 - x^2)

Now, we have expressed the function f(x) as a fraction with a simplified denominator. To find the geometric power series, we can rewrite the denominator using the concept of a geometric series:

(9 - x) / (81 - x^2) = (9 - x) / (9^2 - x^2)

We can see that the denominator is now in the form a^2 - b^2, which can be factored as (a + b)(a - b). In this case, a = 9 and b = x:

(9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

Now, we can express the function f(x) as a geometric power series:

f(x) = (9 - x) / ((9 + x)(9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / ((9 + x) * (9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x) * (9 - x))

The geometric power series for the function f(x) centered at 0 is given by (9 - x) / ((9 + x) * (9 - x)).

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