awnser photo quick please #8

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer:

I have graphed it and attached an image in the explanation.

Step-by-step explanation:

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

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Answer:

C.

Step-by-step explanation:

The probability that the pitcher gave up at most 2 base hits in the game is approximately 0.53.

What is probability?

Probability is a branch of mathematics in which the chances of experiments occurring are calculated.

Let X be the number of base hits given up in 120 pitches. Then X follows a binomial distribution with parameters n = 120 (number of trials) and p = 1/15 (probability of success in each trial).

The probability of giving up at most 2 base hits can be calculated as follows:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial probability formula, we have:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where (n choose k) is the binomial coefficient, which gives the number of ways to choose k successes from n trials.

Plugging in the values, we get:

P(X = 0) = (120 choose 0) * (1/15)^0 * (14/15)^120 ≈ 0.028

P(X = 1) = (120 choose 1) * (1/15)^1 * (14/15)^119 ≈ 0.17

P(X = 2) = (120 choose 2) * (1/15)^2 * (14/15)^118 ≈ 0.33

Therefore,

P(X ≤ 2) = 0.028 + 0.17 + 0.33 ≈ 0.53

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Answer:

The answer is 12, I would know because I just took it

Step-by-step explanation:

The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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Answer: M = 1

Step-by-step explanation:

Use the slope formula to find the slope

Answer:

slope=1

Step-by-step explanation:

So the equation to find slope is m=y²-y¹

-------

x²- x¹

Using that equation, we take 2= y² and 1= y¹ also 3= x² and 2= x¹

2-1 = 1

3-2 = 1

so the answer is 1!

Answer:

112 sq cm

Step-by-step explanation:

Area of the square:

A = s^2

= 8^2

=64 sq cm

Area of a triangle:

A = 1/2•b•h

= 1/2•8•12

= 48 sq cm

Area of total shape:

A_square + A_triangle

= 64 + 48

= 112 sq cm

160 students are identified to have measles in all at the end of the 6th day of the outbreak.

On the first day of a measles outbreak at a school, 5 students were identified to have the measles. Each day for the following two weeks, the number of new cases doubled from those identified with the disease the day prior. Here is the calculation below:

Number of cases of measles on the first day of outbreak = 5

Total number of cases of measles on day 2 = 5 x 2 = 10

Total number of cases of measles on day 3 = 10 x 2 = 20.

Total number of cases of measles on day 4 = 20 x 2 = 40

Total number of cases of measles on day 5 = 40 x 2 = 80

Total number of cases of measles on day 6 = 80 x 2 = 160

Therefore, 160 students are identified to have measles in all at the end of the 6th day of the outbreak.

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To find the values of z that make the product with the complex number 5-6i a real number, we need to consider the imaginary part of the product.

The product of z and 5-6i can be written as:

z * (5 - 6i)

Expanding this expression, we get:

5z - 6zi

For the product to be a real number, the imaginary part (-6zi) must be equal to zero. This means that the coefficient of the imaginary unit i, which is -6z, must be zero.

Setting -6z = 0, we find:

z = 0

So, one possible nonzero value of z is 0.

However, since we are looking for nonzero values of z, we need to find another value that satisfies the condition.

Let's consider the equation for the imaginary part:

-6z = 0

Dividing both sides of the equation by -6, we have:

z = 0/(-6)

z = 0

Again, we find z = 0, which is not a nonzero value.

Therefore, there are no other nonzero values of z that make the product with the complex number 5-6i a real number. The only value that satisfies the condition is z = 0.

Answer:   To find the average rate of change, divide the change in y-values by the change in x-values

Step-by-step explanation:

The amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

To find out the amount of money that you will have in eight years, you need to use the future value formula, which is:FV = PV × (1 + r)n

Where, FV = future value

PV = present value (initial investment) r = annual interest rate (as a decimal) n = number of years

First, you need to find the future value of the gift amount of $17,000 in two years.

Since it's a gift and not an investment, we can assume an interest rate of 0%.

Therefore, the future value would simply be:

PV = $17,000r = 0%n = 2 years

FV = $17,000 × (1 + 0%)2FV = $17,000

Now, you will loan that amount at 9.75% interest for six more years.

So, you need to find the future value of $17,000 after 6 years at an annual interest rate of 9.75%.

PV = $17,000

r = 9.75%

n = 6 years

FV = $17,000 × (1 + 9.75%)6

FV = $29,315.79

Therefore, the amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

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The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

Here is the answer...hope it helps

Answer:

1). g(x) = \(5^{3x}\)

2). g(x) = \(\frac{1}{3}5^{x}\)

3). g(x) = \(3(5)^{x}\)

4). g(x) = \(5^{\frac{1}{3}x}\)

Step-by-step explanation:

Parent function f(x) = \(a^{x}\) when transformed in the form of  \(g(x)=h(a^{\frac{x}{k} })\)

1). If h > 1, function is vertically stretched.

2). If 0 < h < 1, function is vertically compressed.

3). If k > 1, function is horizontally compressed.

4). If 0 < k < 1, function is horizontally stretched.

Parent function of the given functions in the question is f(x) = \(5^{x}\)

g(x)= \(\frac{1}{3}(5^{x})\), parent function is vertically compressed by a factor of \(\frac{1}{3}\).

g(x) = \(5^{3x}\), parent function 'f' is horizontally stretched by a factor of 3.

g(x) = \(5^{\frac{x}{3}}\), parent function 'f' is horizontally compressed by a factor of \(\frac{1}{3}\).

g(x) = \(3(5^{x})\), parent function 'f' is vertically stretched by a factor of 3.

Answer:

i think the awnser would be B Or d best of luck hope this helps

Answer:

one solution

Step-by-step explanation:

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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To find an expression for the amount of water in the tank after t minutes, we need to consider the rate at which water enters and exits the tank. Thus, the expression for the amount of water in the tank after t minutes is: W(t) = 8t - t^2 + 60

Let W(t) represent the amount of water in the tank after t minutes. Initially, the tank contains 60 litres of water. So, we have: W(0) = 60

Water enters the tank at a rate of 8 litres per minute, so the rate of change of water in the tank is +8t. Water also exits the tank at a rate of 2 litres per minute, so the rate of change of water in the tank is -2t. Therefore, we can write the differential equation for the amount of water in the tank as: dW/dt = 8 - 2t

To solve this differential equation, we can integrate both sides with respect to t: ∫ dW = ∫ (8 - 2t) dt

W(t) = 8t - t^2 + C

Applying the initial condition W(0) = 60, we can find the value of the constant C: 60 = 8(0) - (0)^2 + C

C = 60

Thus, the expression for the amount of water in the tank after t minutes is: W(t) = 8t - t^2 + 60

Let x(t) be the amount of salt in the tank after t minutes. We know that initially there are 25 grams of salt in the tank. As water is pumped in and out, the concentration of salt in the tank remains constant at 10 grams per litre. Therefore, the rate of change of salt in the tank is equal to the rate of change of water in the tank multiplied by the concentration of salt, which is 10 grams per litre.

Therefore, the differential equation for x(t) is:

dx/dt = (8 - 2t) * 10

Simplifying this equation, we have:

dx/dt = 80 - 20t

So, the differential equation for x(t) is dx/dt = 80 - 20t.

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Step-by-step explanation:

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Answer:

9x - 1

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

missing length = perimeter - sum of the two sides

sum of the two sides = (5x -1) + (2x + 5) = 7x + 4

missing length = 16x + 3 - (7x + 4) = 9x-1

Function transformation involves changing the form of a function

The function that represents the three hills is given as:

\(f(x) = (x - 1)(x -3)(x -4)\)

The above function represents the base equation.

When the function is then transformed, we have:

\(g(x) =- (x - 1)(x -3)(x -4) + 3\)

The first mistake in teen 1's design is that, the function f(x) has 3 x-intercepts

For the function to have three peaks, then the function must have three different vertices

A function with three x intercepts will have three zeros.

However, these three zeros does not mean the function has three peaks i.e. three vertices

Also, the transformed function g(x) is simply a reflection of f(x) across the x-axis, and a vertical shift up by 3 units.

This also does not mean that the function has three peaks

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EF = 45

Step-by-step explanation:

Area if Trapezium = \(\frac{a + b}{2} h\)

Median = \(\frac{1}{2} (a + b)\)

Median = 5x

5x = 1/2 ((x + 3) + 78)

5x = (x + 81) / 2

10x = x + 81

9x = 81

x = 9

EF = 5x

EF = 5(9)

EF = 45

Answer:

x is approximately 11.37 meters

Step-by-step explanation:

The given parameters of the right tringle are;

The length of the hypotenuse side = 13 m

The measure of the angle opposite the height of the right triangle, θ = 29°

The measure of the side adjacent to angle θ = x = The base length of the triangle

Therefore, by trigonometric ratios, we have;

\(cos \angle \theta = \dfrac{Adjacent \ leg \ length}{Length \ of \ Hypotenuse \ side}= \dfrac{Base \ length \ of \ triangle}{Length \ of \ Hypotenuse \ side}\)

By substituting the given values, we have;

\(cos (29^{\circ}) = \dfrac{x}{13 \ m}\)

Therefore;

x = 13 m × cos(29°) ≈ 11.37 m.

Answer:

It would be -28, -29, and -30.

Step-by-step explanation: It would be these answers since the numbers are negative the "less than" would be in the other direction.

Answer:

-33c+22d

Step-by-step explanation:

=(−11)(3c+−2d)

=(−11)(3c)+(−11)(−2d)

Answer:

a. x=0

b x=-8

c x=49/2

Step-by-step explanation:

a. x2+4=4

subtract 4 from both sides

x2=0

multiply

2x=0

divide by 2

x=0

b x2 + 16 = 0

multiply

2x+16=0

subtract both sides by 16

2x=-16

divide by 2

x=-8

c  x2 − 49 = 0

multiply

2x-49=0

add 49 to both sides

2x=49

divide both sides by 2

x=49/2

Answer:

a. X= 0

b. X= undefined or X=4i

c. X= + or - 7

Step-by-step explanation:

a. x² + 4 = 4

when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.

then x² = 0 , where √x²=√0 , finally x=0

b. x² + 16 = 0

16 goes to other side by negative sign too

x² = -16 , where √x²=√-16 , finally x= undefined

due to the negative sign under thr square root.

at √-1 = i then x can be 4i

c. x² - 49 = 0

-49 go to the other side by positive sign

x² = 49 , where √x² = √49 , finally x= + or - 7

where negative sign is neglected at even power

example:

(-7)²=(7)²