ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.

Answer:

$3.96

Step-by-step explanation:

If he gave $.88 per each pound he bought all you have to do is multiply $.88 by how many pounds he bought 4.5. $.88x4.5 equals $3.96

Answer:

$3.96

Step-by-step explanation:

0.88*4.5= 3.96

Answer:10:05

Step-by-step explanation:

subtract 45 from 50!

Answer:

She started the test at 10:05 am

Step-by-step explanation:

Take the end time and subtract the time of the test

10:50-45 = 10:05

She started the test at 10:05 am

Answer:

-11

Step-by-step explanation:

input=x

output=y

Replace x with 12.

\(y=-\frac{1}{3}(12) -7\)

Solve.

Answer:

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

Since 60 is the profit you need to make, you plug in 60 into P(x). So, you get the equation 60=0.3\(x^{2}\)+7x-40. The answer to this equation is 10. I think this is the correct answer.

Answer:

the answer is 224, if it is asking for the amount of megabytes she bought

Step-by-step explanation:

If she adds 2 megabytes each day, and after 64 days she only has 96 megabytes then

64 times 2 = 128

128 + 96 = 224

so 224 = the amount of megabytes she bought

The value of this golden ratio = 1/2 (1 + √5) = 1.618

Ratio:

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Students occasionally struggle to understand the difference between ratio and proportion.

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Answer:

Choice C    (1/3b)/7 = 25.50

Step-by-step explanation:

1/3 of budget b =(1/3)b

7 bills at $25.50 per bill = 7 x 25.50

Setting both equation to each other we get
(1/3)b = 7 x 25.50

Dividing by 7:
(1/3b)/7 = 25.50

Answer:

The density is 1.59 g/mL. Therefore, the substance will NOT float in water.

Step-by-step explanation:

The following data were obtained from the question:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Mass of CCl₄ =.?

Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)

Mass of CCl₄ = 444.6 – 245.8

Mass of CCl₄ = 198.8 g

Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:

Mass of CCl₄ = 198.8 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Density = mass / volume

Density of CCl₄ = 198.8 / 125

Density of CCl₄ = 1.59 g/mL

The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.

The density of carbon tetrachloride is 1.59 grams per milliliter.

Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:

Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).

Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.

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Answer:

-3 * -7 = 21

Step-by-step explanation:

-3(-7) = -3 * -7

Multiply

Remember: negative * negative = positive

So -3*-7 = 21

If my answer is incorrect, pls correct me!

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Let

y ----> total charge in a month

x ----> number of minutes

so

Plan A

y=0.21x+11

Plan B

y=0.10x+20

Equate both equations

0.21x+11=0.10x+20

solve for x

0.21x-0.10x=20-11

0.11x=9

x=9/0.11

x=81.82 minutes

Convert to hours and minutes

81.82 minutes=60+21.82=1 hour 22 min

therefore

The absolute value inequality -8 > |x| is sometimes true, depending on the value of x. The inequality is satisfied when x is any number greater than 8 or less than -8.

An absolute value inequality or equation can be true, false, or sometimes true depending on the values of the variable involved. In this specific case, the inequality -8 > |x| is sometimes true.

To determine when this inequality is true, we need to consider two cases:

Case 1: x > 0

When x is a positive number, the absolute value of x (|x|) will be equal to x itself. So, the inequality -8 > |x| can be rewritten as -8 > x. In this case, the inequality is true if x is any number greater than 8.

Case 2: x < 0

When x is a negative number, the absolute value of x (|x|) will be equal to -x. So, the inequality -8 > |x| can be rewritten as -8 > -x, which simplifies to 8 > x. In this case, the inequality is always true since any negative value of x will satisfy it.

Therefore, the inequality -8 > |x| is sometimes true, depending on the values of x. It holds true for x > 8 or x < 0.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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There is no the vertical asymptote of given exponential function.

Consider the fact that the exponential function's domain is x ∈ R in order to identify its vertical asymptote. There is thus no value of x for which y is not true. Therefore, there is no vertical asymptote for the exponential function.

Assume that x is the variable and that f(x)=ax is an exponential function.

So let's determine the domain for x; it is x ∈  R for an exponential function, where R is the set of real numbers.

As a result, the exponential function has no vertical asymptote (as there is no value of x for which it would not exist).

However, the horizontal asymptote occurs at y=0 as    lim ax=0 if we talk about it.                                                                                x→∞

As a result, the exponential function has no vertical asymptote.

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Answer:

A. 3 meters

Step-by-step explanation:

A right circular cylinder with a height of 3 meters has a volume of 16 cubic meters.

Answer:

The real answer is 1

Step-by-step explanation:

your welcomeeeeeeeee

Answer: 0.00330033003

Answer:

-21/5 or -4.2

Step-by-step explanation:

y = 2x + 6

3y - x + 3 = 0

Substitute the value for y from the first equation into the second equation.  Solve for x.

3y - x + 3 = 0

3(2x + 6) - x  + 3= 0

6x + 18 - x + 3 = 0

5x + 18 + 3 = 0

5x + 21 = 0

5x + 21 - 21 = 0 - 21

5x = -21

x = -21/5 or -4.2

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

1/5

Step-by-step explanation:

If you mix 30 ml of orange juice, 20 ml of apple juice and 50 ml of coconut milk you will get a total of 30 + 20 + 50 = 100 ml of cocktail

The proportion of apple juice in the cocktail is merely the volume of apple juice added to the total volume of cocktail

= 20/100 = 1/5

The rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.

To find the rate of change of the area of a circle when the radius is 2 centimeters, we need to use the formula for the area of a circle, which is \(A = πr^2.\)

We know that the radius is increasing at a rate of 8 centimeters per minute, so we can use this information to find the rate of change of the area.

We can start by finding the area of the circle when the radius is 2 centimeters. Substituting r = 2 into the formula, we get:

A = π(2)^2
A = 4π

So the area of the circle is 4π square centimeters when the radius is 2 centimeters.

Now, let's find the derivative of the area with respect to time. Using the power rule of differentiation, we get:

dA/dt = 2πr (dr/dt)

Substituting r = 2 and dr/dt = 8, we get:

dA/dt = 2π(2)(8)
dA/dt = 32π

So the rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute. To round this to one decimal place, we can use a calculator to get:

dA/dt ≈ 100.5

Therefore, the rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.

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Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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Answer:

x = 3

Step-by-step explanation:

2x + 3 = 9

9 - 3 = 6

3 - 3 = 0

2x = 6

6/2 = 3

2/2 = 1

x = 3

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The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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Rounding to the nearest square unit, the area is approximately 21 square units.

A quadrilateral is a polygon with four sides, four vertices (corners), and four angles. Some examples of quadrilaterals include rectangles, squares, parallelograms, trapezoids, and rhombuses. Quadrilaterals can have sides and angles of different lengths and sizes. However, the sum of the angles in a quadrilateral always adds up to 360 degrees. Quadrilaterals are commonly studied in geometry, where their properties and characteristics are analyzed and used to solve various problems related to area, perimeter, and other geometric concepts.

Here,

To find the area of the figure ABCE, we need to find the height of the triangle ABCE with respect to base AB.

Let's call the point where the height meets base AB as D. Since angle E is 65 degrees, we know that angle AED is 180 - 65 = 115 degrees (since the sum of the angles in triangle AED is 180 degrees).

We also know that angle ADB is a right angle (since AD is perpendicular to AB), so angle EDB is 180 - 115 - 90 = 25 degrees.

Using trigonometry, we can find that the length of AD is:

AD = AB * sin(25) = 10 * sin(25) ≈ 4.24 units.

Therefore, the area of quadrilateral ABCE is:

Area = (1/2) * base * height = (1/2) * AB * AD ≈ (1/2) * 10 * 4.24 ≈ 21.2 square units.

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Answer:9

Step-by-step explanation:

the square root of 87 is 9.32737905309 which rounds to 9

Answer:

16

Step-by-step explanation:

Given expression:

\(4^{7}\times 4^{-5}\)

Applying exponent rule: [\(a^{b} \times a^{-n} = a^{b-n}\)]

\(\implies 4^{7 - 5}\)

\(\implies 4^{2}\)

When evaluating the exponent, we get:

\(\implies 4^{2} = 4 \times 4 = \boxed{16}\)

Therefore, 16 is the simplified expression.

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the required sample size is approximately 178. Answer (c) is correct.To determine the required sample size, we can use the formula:

n = (z * σ / E)^2

where:
- n is the sample size
- z is the z-score for the desired level of confidence (99% corresponds to z = 2.58)
- σ is the standard deviation of the population
- E is the maximum error we want to allow in our estimate of the population mean

Plugging in the values given in the problem, we get:

n = (2.58 * 14 / 4)^2 ≈ 178

Therefore, the required sample size is approximately 178. Answer (c) is correct.

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Answer:

30.8

Step-by-step explanation:

Answer:

30.8

Step-by-step explanation:

-9.240/-0.3

9.24/0.3

30.8