4 to the power of 2 *4 to the power of 4

Answer:

C

Step-by-step explanation:

a number is only divisible by 4, if the number formed by the last 2 digits is divisible by 4.

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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The number of shares of stock that you own is 40 shares of stock, and the stock's value is $15.10 per share on the day of your 18th birthday.

You can determine the total worth of the stock on your 18th birthday by multiplying the number of shares of stock by the value per share of stock, which is as follows:

40 shares of stock * $15.10 per share of stock = $604 worth of stock On the other hand, the stock's value has risen to $32.67 per share today.

You can determine the total worth of the stock by multiplying the number of shares of stock by the current value per share of stock, which is as follows:

40 shares of stock * $32.67 per share of stock = $1306.8 worth of stockIf you were to sell the stock today, you would receive $1306.8 in total.

The total gain from the stock is the difference between the current value and the value at the time of the purchase. The formula to calculate the total gain is as follows:

Total gain = (current value per share of stock – value per share of stock at the time of purchase) * number of shares of stock The total gain can be computed as follows:($32.67 per share of stock - $15.10 per share of stock) * 40 shares of stock = $698.8

The total gain from the stock is $698.8, and the total amount that you would receive is $1306.8 if you were to sell it today.

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Answer:

Step-by-step explanation:

The monthly interest rate is the annual rate (APR) divided by 12.

  19%/12 ≈ 1.5833%

The loan will be paid in fewer than 91 months, because Zach will be paying at least $10 per month on his current balance of $910. The attached spreadsheet shows it will take 73 payments to pay off the loan.

The car loses all of its marketable value after 9 years, the x-intercepts represent the points at which the car has lost all of its value, so they are (9, 0) and (0, 22995).

The depreciation equation for the car can be represented as y = mx + b, where y is the value of the car at time x, m is the slope of the line, and b is the y-intercept.

To find the slope, we can use the information that the car loses all of its marketable value after 9 years. The market value of the car will be 0 after 9 years, so we can set y = 0 when x = 9:

0 = m * 9 + b

To find the y-intercept, we can use the information that Jason purchased the car for $22,995. This means that the value of the car at time 0 was $22,995, so we can set y = 22,995 and x = 0:

22,995 = m * 0 + b

Combining these two equations, we can solve for m and b:

0 = m * 9 + b

22,995 = m * 0 + b

b = 22,995

Now that we have found the y-intercept, we can use it to find the x-intercepts by setting y = 0 and solving for x:

0 = m * x + 22,995

0 - 22,995 = m * x

-22,995 = m * x

x = -22,995 / m

Since we don't know the value of m, we can't find the x-intercepts directly. However, since the car loses all of its marketable value after 9 years, the x-intercepts represent the points at which the car has lost all of its value, so they are (9, 0) and (0, 22995).

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Answer:

\((x^{22})(x^7)^{3} = x^p\)

\(p = 43\)

Step-by-step explanation:

Let's review an important exponent/indicie rule:

⭐\(a^m * a^ n= a^{m+n}\)

First, let's simplify the term \((x^7)^3\).

\((x^7)^3\) is the same as \((x^7) * (x^7) * (x^7)\).

We can apply the exponent rule here because terms with the same base are being multiplied.

\((x^7) * (x^7) * (x^7) = x^{7+7+7} = x^{21}\)

Now, let's replace \((x^7)^3\) with \(x^{21}\) in our original equation and find p.

\((x^{22})(x^{21}) = x^p\)

We can apply the exponent rule here because terms with the same base are being multiplied.

\(x^{22+21} = x^p\\x^{43} = x^p\\\)

∴ p = 43

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Answer: 9

Step-by-step explanation:

First solve the system (using elimination):

x-y=7...(1)

3x+2y=26...(2)

Multiply equation 1 by -3

 -3x+3y=-21

+ 3x+2y=26

 -----------------

     5y=5

      y=1

Substitute y=1 into equation 1

x-y=7

x-(1)=7

x=8

Let a=8 (x=a) and y=1 (y=b)

a + b

= (8) + (1)

= 9

Information provided with us :

What we have to calculate :

Performing Calculations :

Here we have been given with two equations,

From the first equation we would be getting a value of x and that value of x we would substitute in the second equation.

⇒ x - y = 7

⇒ x = 7 + y

Now, substituting it in the second equation :

⇒ 3x + 2y = 26

⇒ 3 (7 + y) + 2y = 26

⇒ 3 × (7 + y) + 2y = 26

⇒ 21 + 3y + 2y = 26

⇒ 21 + 5y = 26

⇒ 5y = 26 - 21

⇒ 5y = 5

⇒ y = 5 / 5

⇒ y = 1

★ Therefore, value of y is 1.

Now, substituting this value of y as 1 in the first equation.

⇒ x - y = 7

⇒ x - 1 = 7

⇒ x = 7 + 1

⇒ x = 8

★ Therefore, value of x is 8.

Value of a + b :-

⇒ x = a = 8

⇒ y = b = 1

Now,

⇒ a + b

⇒ 8 + 1

⇒ 9

Henceforth, value of a + b is 9.

Answer:

$12

Step-by-step explanation:

10 apples = $1

10 dozen apples = 10 x 12 = $1 x 12 = $12

Answer:

$120

Step-by-step explanation

A dozen is 12 and 10 dozen would be 120 apples.

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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Answer: its B) test statistic

Step-by-step explanation:

True. Comparing two marginal distributions can show if the corresponding two variables are related. This can be done by calculating the correlation coefficient of the two variables.

The correlation coefficient is a numerical measure of the degree of the linear relationship between two variables and can be calculated by dividing the covariance of the two variables by the product of their standard deviations. The correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation and 1 indicates a perfect positive correlation.

If the correlation coefficient is close to zero, then the two variables are not significantly related. If the correlation coefficient is close to -1 or 1, then it can be inferred that the two variables are related.

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Answer: If we divide a polynomial by (x - 2) and obtain a quotient without a remainder, then (x - 2) must be a factor of the polynomial. Therefore, we need to find the factor of (x - 2) that will evenly divide the polynomial x^3 - 4x^2 + 3x - 9.

To do this, we can use long division or synthetic division. Let's use synthetic division:

2 | 1 - 4  + 3 - 9

  |    2  - 4 - 2

  |---------------

  | 1 - 2 - 1 - 11

The result is a quotient of x^2 - 2x - 1 with a remainder of -11.

Since we want to obtain a polynomial that is exactly divisible by (x - 2), we need to subtract the remainder from the original polynomial, which gives:

x^3 - 4x^2 + 3x - 9 - (-11) = x^3 - 4x^2 + 3x + 2

Therefore, we need to subtract 11 from x^3 - 4x^2 + 3x - 9 to obtain a polynomial which is exactly divisible by (x-2). The resulting polynomial is x^3 - 4x^2 + 3x + 2.

Step-by-step explanation:

The value of the (gºf)(x) is 17.

What is the function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depends on another quantity.

Here, we have

Given: f(x) = 3x² + 2x + 1

g(x) = x - 5

we have to find the value of (gºf)(-3).

First, we will find the value of  (gºf)(x)

(gºf)(x) = g(f(x))

= g(3x² + 2x + 1)

= 3x² + 2x + 1 - 5

(gºf)(x) = 3x² + 2x - 4

Now, we put the value of x = -3 and we get

(gºf)(-3) = 3)(-3)² + 2(-3) - 4

(gºf)(x) = 27 - 6 - 4

(gºf)(x) = 17

Hence, the value of the (gºf)(x) is 17,

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Answer:

U' (5, 1 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

U (5, - 1 ) → U' (5, - (- 1) ) → U' (5, 1 )

Answer:

we have

when

base=8cm

height=11cm

area of parallelogram is :base×height

=8*11=88cm³

Now for

base=15cm

height=h

we have

the area of parallelogram=88cm²

base ×height=88cm²

15*h=88

h=88/15

h=88/15 or 5 13/15 or 5.86 cm in approximately

Given parameters :

To find :

Solution :

We know that area of a parallelogram is base inti height .

In case 1 take the base as 8 cm and height as 11 cm

In second case take the base as 15 cm and the height as h cm .

Note that we are doing this in the same figure so the area would be same .

Answer:

214.6

Step-by-step explanation:

First, split 7.4 into number, this makes it easier later.

29*7=203

0.4*29=11.6

Next add them up for your total.

203+11.6=214.6

Answer:

214.6

Step-by-step explanation:

29x7.4=214.6

The 0 element for the permutation group defined over n objects is an identity permutation, which is a permutation that does not change the positions of any elements in a set.

This identity element is denoted by an empty permutation and is often referred to as the "do-nothing" permutation. In other words, it leaves the elements in the set unchanged. It is the base element of the permutation group, meaning that when it is combined with any other permutation, it does not change the result of the permutation.

This means that when it is combined with any other permutation, the end result is the same as the initial permutation.

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Answer:

1/16 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

It cannot determine causation as there may be other variables or factors that could be influencing the relationship between the two variables being analyzed.

Which one of the following cannot be determined from a scatterplot is a cause and effect relationship.

A scatterplot can show the strength and direction of a relationship between two variables, whether it is a positive or negative relationship, and whether it is curvilinear.

However, it cannot determine causation as there may be other variables or factors that could be influencing the relationship between the two variables being analyzed.

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Answer:

Jake should get $3 because he would have given more water since he had the most out of all of them. Harold should get $2 because he gave less water

Step-by-step explanation:

The amount that Harold and Jake will get is $2 and $3, respectively.

A ratio shows us the number of times a number contains another number.

Harold has 40 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 40 ounces of water / 3 person

                             = (40/3) ounces per person

Thus, Greg will get (40/3) ounces of water from Harold.

Similarly, Jake has 60 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 60 ounces of water / 3 person

                             = (60/3) ounces per person

Thus, Greg will get (60/3) ounces of water from Harold.

Further, Harold and Jake will get the money in the ratio of the amount of water they shared, therefore, we can write,

(40/3)x + (60/3)x = $5

(40x + 60x)/3 = 5

100x = 5 × 3

x = 15/100

Furthermore, the money each of two will get is,

Amount that Harold will get,

(40/3)x

= (40/3) × (15/100)

= $2

Amount that Jake will get,

(60/3)x

= (60/3) × (15/100)

= $3

Hence, the amount that Harold and Jake will get is $2 and $3, respectively.

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Answer:

31.2

Step-by-step explanation:

Change 60% into 0.6 by moving the decimal 2 points to the left

Multiply 0.6 by 78 to get 46.8

Subtract 78 and 46.8 to get 31.2 which is your answer

The steps to find the graph of the inequality are discussed below.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the inequality.

Since the inequality and their graphs are not given, we will learn how to find the graph of a inequality given. The steps are mentioned below.

Graph of a inequality can be drawn by following the steps mentioned below -

              a. If the inequality sign does not contain an equals sign (< or >)

              then draw the line as a dashed line.

              b. If the inequality sign does have an equals sign (≤ or ≥) then

              draw the line as a solid line.

Hence, the steps to find the graph of the inequality are discussed above.

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If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.

The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:

38 = 2(L + 9)

Dividing both sides by 2, we get:

19 = L + 9

Subtracting 9 from both sides, we get:

L = 105

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Answer:

f(x + 2)

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the left of a units

Here f(x) is translated 2 units to the left , then f(x + 2)

Answer:

y = x + 7

Step-by-step explanation:

Pick 2 points on the line to calculate the slope, m:  (3, 10) and (5, 12)

m = Δy/Δx = (12 - 10) / (5 - 3) = 2/2 = 1

Use the point-slope equation and the point (3, 10):   (y - y1) = m(x - x1)

(y - 10) = 1(x - 3)

y - 10 = x - 3

y = x - 3 + 10

y = x + 7

The solution  to the linear inequality  is (2, 1).

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. These figures are referred to as the equation or inequality's solutions. A set of such values is called a solution set to the considered equation or inequality.

we have given that the linear inequality y < Negative one-half + 2

y < - 1x/2 + 2

The solution of the inequality is the shaded area below the dashed line;

y = - 1x/2 + 2

The slope of the dashed line is negative 1/2.

The y-intercept of the dashed line is the point (0,2) and the x-intercept of the dashed line is the point (4,0).

Noted that Any point that lies on the shaded area is a solution to the inequality and if a point is a solution to the linear inequality, then the point must satisfy the inequality.

The complete question is : Which point is a solution to the linear inequality y < Negative one-halfx + 2? (2, 3) (2, 1) (3, –2) (–1, 3)

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Answer:(3,-2)

Step-by-step explanation: edge 2022

Answer:

sin57= 30/x

x= 30/sin57

x= 25.16

Step-by-step explanation:

1. For Joshua's triangle; the distance of the green side of the triangle d₃ is 5.

2. For Murney's triangle, the perimeter of the triangle is 12.

3. For Grace, Abby and Chris's triangle, the perimeter of the triangle is 5 + √17 +  4√2.

4. For Chloe's triangle, the perimeter of the triangle is 11 + √65.

The distance of the triangles is calculated as follows;

For Joshua's triangle;

The length of d₁, d₂, and d₃ is calculated as follows;

d₁ = √ [(3 - 2)² + (2 - 0)²] = √5

d₂ = √ [(-1 - 3)² + (4 - 2)²] = 2√5

d₃ = √ [(-1 - 2)² + (4 - 0)²] = 5

The distance of the green side of the triangle d₃ = 5

For Murney's triangle, the perimeter of the triangle is calculated as;

BC = √ [(4 - 4)² + (6 - 2)²] = 4

AC = √ [(1 - 4)² + (2 - 2)²] = 3

AB = √ [(4 - 1)² + (6 - 2)²] = 5

Perimeter = 4 + 3 + 5 = 12

For Grace, Abby and Chris's triangle, the perimeter of the triangle is calculated as;

AC = √ [(-3 - 2)² + (2-2)²] = 5

BC = √ [(1 - 2)² + (2 + 2)²] = √17

AB = √ [(1 + 3)² + (2 + 2)²] = 4√2

Perimeter = 5 + √17 +  4√2

For Chloe's triangle, the perimeter of the triangle is calculated as;

AC =  √ [(-3 - 4)² + (2-2)²] = 7

BC =  √ [(4 - 4)² + (6-2)²] = 4

AB =  √ [(4 + 3)² + (6-2)²] = √65

Perimeter = 7 + 4 + √65 = 11 + √65

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The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1

From the question, we have the following parameters that can be used in our computation:

Parent function: y = 2^x

The graph of the transformed exponential function g(x) passes through the points  (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)

So, we have the following transformation steps:

1st Transformation:

Reflect y = 2^x across the y-axis

So, we have

y = 2^-x

2nd Transformation:

Translate y = 2^-x down by 1 unit

So, we have

y = 2^-x - 1

This means that

g(x) = 2^-x - 1

Hence, the equation of the function g(x) is g(x) = 2^-x - 1

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Answer:

y = -3x + 1

Step-by-step explanation:

First, we can find the slope of the line.

The slope is (change in y)/(change in x).

We can use the points that are marked in orange: (0,1) and (1,-2)

The change in y is 1 to -2, which is -3.

The change in x is 0 to 2, which is 1.

The slope will be -3/1, which is also: -3.

We have y = -3x + b currently.

The b is the y-intercept, meaning (the point that touches the y axis, the vertical line).

The point (0,1) touches the y-intercept, so b will be 1.

We can finish our equation as: y = -3x + 1