Find the value of y when x=2; 4y=5(x-1)

Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

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Answer:

The answer is c lma/o

Step-by-step explanation:

The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Answer:

Step-by-step explanation:

28.6 - 35 + 12.7 - (-5.2) = ?

28.6 - 35 + 12.7 + 5.2 = 11.5

The value of the expression 28.6 - 35 + 12.7 - (-5.2) is 11.5.

To find the value of the expression, simply follow the order of operations (PEMDAS):

28.6 - 35 + 12.7 - (-5.2)

Step 1: First, deal with the parentheses:

28.6 - 35 + 12.7 + 5.2

Step 2: Then, perform addition and subtraction from left to right:

(28.6 - 35) + 12.7 + 5.2

-6.4 + 12.7 + 5.2

Step 3: Continue with the addition and subtraction:

6.3 + 5.2

Step 4: Finally, calculate the sum:

11.5

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Answer:

Hello there! There is a 1/4 chance of getting the same result on both flips, keeping in mind that a coin only has 2 sides.

Step-by-step explanation:

There is a 1/2 chance of getting a result on one flip. So we now have to multiply that by getting the same result on another flip.

1/2 × 1/2 = 1/4

Hope this helps! :)

The probability of obtaining the same result on each coin will be 1/2.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Ken flips 2 fair coins. The total events are given as,

Total event = 2 x 2

Total event = 4 {TT, HT, TH, HH}

The probability of obtaining the same result on each coin will be given as,

Favorable events = 2 {TT, HH}

P = 2 / 4

P = 1/2

The probability of obtaining the same result on each coin will be 1/2.

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The total area of the quilt is: 112.5 square inches

The six-sided figure is given, and we can deduce the following parameters from the question:

The shape is made of a triangle and a rectangle

The side lengths derived from the question are:

The triangle on top:

base: 5 inches and height: 5.18 inches

The rectangle at the bottom:

Base: 16 inches with a height of 7.5 inches

So, we have the total area of the figure to be

Area of figure = 1/2 * 5 * 6 + 13 * 7.5

Area of figure = 112.5

Based on the parameters, the total area is 112.5 square inches

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Since they lost 69.1 %, only 30.9 % remains. The correct equation for the remaining amount is

t = years since 100% was present, A0 = initial amount = 100% .

Get time T to drop to 30.9% from

Take log both sides,

Hence the bones are 9742.3 years old when they are discovered.

The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

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The expected number of pizzas to be stuffed crust is given as follows:

500.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The sample size is given as follows:

408 + 224 + 208 + 200 = 1040.

Out of these, 208 are stuffed crust, hence the probability is given as follows:

p = 208/1040.

Out of 2500 pizzas, the expected number is then given as follows:

E(X) = 2500 x 208/1040

E(X) = 500.

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Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Answer:

C. 7, 14, 21, 28

Step-by-step explanation:

We want to find the multiples of 7

7*1= 7

7*2 = 14

7*3= 21

7*4 = 28

Answer:

The answer is, C. 7, 14, 21, 28

The length of the straw is √110 inches.

What is rectangle ?

Rectangle can be defined as opposites sides are equal and the area of rectangle is product of length and breadth.

We can use the Pythagorean theorem to find the length of the diagonal of the rectangular box, which will be the length of the straw.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the rectangular box forms a right triangle, and the length of the hypotenuse is the length of the diagonal from the bottom left corner to the top right back corner, which is the length of the straw.

The lengths of the other two sides of the triangle are the dimensions of the rectangular box:

The width is 2 inches, which is the length of one leg of the right triangle.

The height is 5 inches, which is the length of the other leg of the right triangle.

So we can use the Pythagorean theorem as follows:

length of straw = √(2*2 + 5*5 + 9*9)

= √(4 + 25 + 81)

= √110

Therefore, the length of the straw is √110 inches.

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The minimum surface area that such a box can have is 380 square

Represent the base length with x and the bwith h.

So, the volume is

V = x^2h

This gives

x^2h = 500

Make h the subject

h = 500/x^2

The surface area is

S = 2(x^2 + 2xh)

Expand

S = 2x^2 + 4xh

Substitute h = 500/x^2

S = 2x^2 + 4x * 500/x^2

Evaluate

S = 2x^2 + 2000/x

Differentiate

S' = 4x - 2000/x^2

Set the equation to 0

4x - 2000/x^2 = 0

Multiply through by x^2

4x^3 - 2000 = 0

This gives

4x^3= 2000

Divide by 4

x^3 = 500

Take the cube root

x = 7.94

Substitute x = 7.94 in S = 2x^2 + 2000/x

S = 2 * 7.94^2 + 2000/7.94

Evaluate

S = 380

Hence, the minimum surface area that such a box can have is 380 square

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Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

Answer:

1077.19 ft

Explanation:

Using the depression angle, we get that one of the angles of the formed triangle is also 18° because they are alternate interior angles, so we get:

Now, we can relate the distance x, the angle of 18°, and the height of the tower using the trigonometric function tangent, so:

Now, solving for x, we get:

Using the calculator, we get that tan(18) = 0.325, so x is equal to:

Therefore, the forest ranger is at 1077.19 ft from the fire.

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Answer:

$52.50

Step-by-step explanation:

210 divided by 4 equals 52.50

Answer:

Y=72

Step-by-step explanation:

First we set up the equation which is (20-2) times 4=Y

Then we solve, 20 minus 2 is risk since it is in the parentheses. 20 minus 2 is 18.

After that 18 times 4 is 72

Y=72

Answer:

The mean number of scores per game is 8

Step-by-step explanation:

Since we know we can find the mean by adding all the numbers and dividing them by many numbers there were. Once you add 8, 14, 4, 7, 6, 4, and 7, you will get 64. Since there were 8 numbers, you divide 64 by 8 to get 8.

Answer:

[g+2/3g-1] ÷ [g^2+2g/6g+2]

g+2/3g-1 × 6g+2/g^2+2g

g+2/3g-1 × 2(3g +1)/g(g+2)

1/ 3g-1 × 2(3g+1)/g

2(3g +1)÷ g(3g-1)

6g+2 ÷[3g^2-g]

Answer:B is the answer -11

Step-by-step explanation:

Answer:

Rate of change = \( \frac{9}{2} = 4.5 \).

Step-by-step explanation:

Rate of change = \( \frac{y_2 - y_1}{x_2 - x_1} \).

Use the coordinates of two points on the graph. (Any point can be chosen. We will still arrive at the same rate of change).

Using (2, 9) and (4, 18),

Let,

\( (2, 9) = (x_1, y_1) \)

\( (4, 18) = (x_2, y_2) \)

Rate of change = \( \frac{18 - 9}{4 - 2} = \frac{9}{2} = 4.5 \).

Answer:

She washed 21 cars

Step-by-step explanation:

Answer:

Jan washed 21 cars

Step-by-step explanation:

120.75 / (Divided) 5.75=21

If you were to times 5.75 by 21 you will get the amount she rasied at the car wash

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

-4/7

Step-by-step explanation:

Add 15x to each side. Then subtract 14 to each side.

Answer:

55% of the students surveyed said their favorite color was blue

Step-by-step explanation:

\(\frac{209}{380}\) as a percent = 55%, or 0.55 in decimal form.

Answer:

Table A

Step-by-step explanation:

y  = 3x^2 +2x -8

The quadratic is in the form

y = a x^2 +bx+c

a = 3  b = 2 c = -8

Since a > 0 it opens up

The y intercept is c so the y intercept is -8

The algebric expression \(cot(sin^{(-1)}\sqrt{(x^2}\)simplifies to sqrt(1 - |x|^2) / |x|.

The expression "cot(sin^(-1)(sqrt(x^2)))" involves trigonometric and square root functions. Let's break it down step by step to simplify the expression.

Inside the square root: x^2.

The square root of x^2 is |x| (the absolute value of x), as the square root eliminates the square and keeps the positive value.

The expression sin^(-1)(sqrt(x^2)) is equivalent to arcsin(sqrt(x^2)).

Since we already know that the square root of x^2 is |x|, we can rewrite the expression as arcsin(|x|).

Now, we have cot(arcsin(|x|)).

The cotangent (cot) of an angle is equal to the reciprocal of the tangent (tan) of the same angle.

So, cot(arcsin(|x|)) can be written as 1 / tan(arcsin(|x|)).

Using the inverse trigonometric identity, tan(arcsin(x)) = x / sqrt(1 - x^2), we can simplify further.

In our case, x = |x|.

Therefore, tan(arcsin(|x|)) = |x| / sqrt(1 - |x|^2).

Substituting this result back into the expression, we have 1 / (|x| / sqrt(1 - |x|^2)).

To divide by a fraction, we multiply by its reciprocal.

Hence, the final simplification of the expression is sqrt(1 - |x|^2) / |x|.

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