what is the value of x in the equation 8x-2y=48 when y=4

The volume of the cylinder is approximately 960 cubic centimeters.

To find the volume of the cylinder, we need to use the formula V = πr^2h, where r is the radius of the cylinder, h is its height, and π is the mathematical constant approximately equal to 3.14.

Given that the diameter of the cylinder is 8 cm, we can find the radius by dividing the diameter by 2:

radius (r) = diameter / 2

r = 8 cm / 2

r = 4 cm

We are also given that the height of the cylinder is 20 cm.

Substituting the values for r and h into the formula, we get:

V = πr^2h

V = π(4 cm)^2(20 cm)

V = π(16 cm^2)(20 cm)

V = 320π cm^3

Using the value of π as 3, we can approximate the volume as:

V ≈ 320(3)

V ≈ 960 cm^3

When the value of π is rounded to 3 and the radius is 4 cm and the height is 20 cm.

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The answer is 3

16+20=36

6x2=12

36/12=3

Given data:

The initial value of the temperature is T= 31 degrees Fahrenheit.

The temperature drop is T'= 15 degrees .

The expression for the final value of the temperature is,

Substitute the given values in the above expression.

Thus, the final temperature is 16 degrees Fahrenheit.

Multiply 0.5/100 times 44 to find what is 5% of 44 equal to:

Therefore, 0.5% of $44 is equal to $0.22.

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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Answer:

A, The value of g(-2) is smaller than the value of g(4).

Step-by-step explanation:

The others DO NOT make sense.

Answer:

the last one

Step-by-step explanation:

Answer:

The 4th Option

Step-by-step explanation:

For a graph to be a function, it must not be broken up at any point (as in Option 3) and there can be no points that overlap each other vertically (as in Options 1 and 2). So, the only option that is continuous and with no overlapping points is Option 4.

To answer this problem we have to remember that the break even point occur where the revenue function and the cost function have the same value.

Then, this happens when

Pluggin the expressions of our functions and solving for x we have:

Therefore the break even point occurs when x=74000. In this points both functions have value

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

\(x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

\(x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}\)

\(x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}\)

\(x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};\)

\(x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005\)

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

\((-714.005)^2+700(-714.005)-10000=-0.360\)

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

\((14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725\)

Answer:

24

Step-by-step explanation:

Since the lines L and M are parallel:

Angle 1 and and 2 are alternate and their measurement is equal.

3x + 6 = 6x - 12 (we multiplied 6 with inside the parenthesis)

6 + 12 = 6x - 3x

18 = 3x divide both sides by 3

6 = x to find the angle measure replace x with 6

3x + 6 is 3*6 +  6 = 24

Answer:

I am solving it rn! one sec bro :)

Answer:

A

Step-by-step explanation:

Answer:

The total cost of your purchase, including sales tax, is $4.14.

Step-by-step explanation:

To calculate the total cost of your purchase, we need to determine the sales tax on each item and add it to the original price of each item.

Given:

Sales tax rate: 7%

Price of bag of chips: $1.79

Price of soft drink: $0.89

Price of candy bar: $1.19

To calculate the sales tax on each item:

Sales tax on bag of chips = $1.79 * 7% = $0.1253 ≈ $0.13

Sales tax on soft drink = $0.89 * 7% = $0.0623 ≈ $0.06

Sales tax on candy bar = $1.19 * 7% = $0.0833 ≈ $0.08

Now let's calculate the total cost of your purchase:

Total cost = (Price of bag of chips + Sales tax on bag of chips) + (Price of soft drink + Sales tax on soft drink) + (Price of candy bar + Sales tax on candy bar)

Total cost = ($1.79 + $0.13) + ($0.89 + $0.06) + ($1.19 + $0.08)

Total cost = $1.92 + $0.95 + $1.27

Total cost = $4.14

Therefore, the total cost of your purchase, including sales tax, is $4.14.

Tanner has 217 baseball cards that are not in mint condition.

To find out how many baseball cards are not in mint condition, we can start by calculating the number of cards that are in mint condition.

Tanner has 310 baseball cards, and 30% of them are in mint condition. To find this value, we multiply the total number of cards by the percentage in decimal form:

Number of cards in mint condition = 310 * 0.30 = 93

So, Tanner has 93 baseball cards that are in mint condition.

To determine the number of cards that are not in mint condition, we subtract the number of cards in mint condition from the total number of cards:

Number of cards not in mint condition = Total number of cards - Number of cards in mint condition

= 310 - 93

= 217

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Answer:

Flour: 3.25 cups

Butter: 1.75 cups

Sugar: 2.5 cups

Step-by-step explanation:

First, we know that in total, all the butter, flour, and sugar will come out to 7.5 cups. Therefore, we can have 7.5 on one side of the equation we will be making, so now we just have to find what goes on the other side of the equation:

7.5 = ?

We know that butter is going to be used the last, as it uses half the amount of sugar, and to make the equation easier to read, we should start with the smaller values and end with bigger values. Since there is 1.5 times more flour than sugar, the order will be:

7.5 = butter + sugar + flour

Now, let us say that each ingredient is determined by the variable x, since x can represent the amount of sugar going into this cake, as all the other ingredients' measurements are being based on the sugar. Therefore, going in the butter, sugar then flour order, we can put how much less or more that ingredient needs to be than the sugar:

7.5 = 0.5x + x + 1.5x

Simplify:

7.5 = 3x

Divide 3 by both sides:

7.5(/3) = 3x(/3)

2.5 = x

So, because x represents sugar, we know that there will be 2.5 cups of sugar. Using the recipe, just multiply by 1.5 to find flour, and then by 0.5 to find butter, so the answer will be:

Flour: 3.25 cups

Butter: 1.75 cups

Sugar: 2.5 cups

And if you add those up, you get 7.5 cups.

Hope this helps :)

The eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

An eigenvector is a non-zero vector that, when multiplied by a matrix, results in a scalar multiple of itself. In other words, if A is a square matrix and v is an eigenvector of A, then Av = λv, where λ is the eigenvalue associated with v.

Given the eigenvalues and eigenvectors for matrix A as λ1 = 2, v1 = [-5 1]ᵀ and λ2 = 6, v2 = [5 4]ᵀ, we can say that:

- Av1 = λ1v1 = 2[-5 1]ᵀ = [-10 2]ᵀ
- Av2 = λ2v2 = 6[5 4]ᵀ = [30 24]ᵀ

Therefore, the eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

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9514 1404 393

Answer:

  16

Step-by-step explanation:

Usually, a question like this is answered by subtracting the smaller number from the larger:

  11 -(-5) = 11 +5 = 16

The difference in their scores is 16 strokes.

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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The half-life of this substance is 150 days.

We need to find the time it takes for the substance to decay to 50% of its original amount. We can use the equation y = a(1/2)^(x/b), where a is the initial amount, y is the amount left after time x, and b is the half-life.

A sample of a certain substance decayed to 73.2% of its original amount after 300 days. Half-life can be calculated as follows:

Rearranging the equation, we get

x/b = log₂(y/a).

Plugging in the given values, we get

x/b = log₂(0.732/1)

= log₂(0.732).

Solving for x, we get

x = b*log₂(0.732)

= 300*log₂(0.732).

Since b is the half-life,

b = 300/log₂(0.732) = 150 days.

Therefore, the half-life of this substance is 150 days.

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The null hypothesis is accepted since the chi-square at the supplied critical value level value is greater than 13.388 (27.385).

In five to six key stages, the hypothesis test announces the conclusion of an assumption.

The approach to be utilized is predicated on the notion of correlating a parameter's standardized sample equivalent to the crucial boundary that permits the null hypothesis to be accepted.

For this particular question,

The value of the chi-square is 27. 385.

The crucial number is 13.388.

The following are the hypotheses for the goodness of fit test : If an expected value and the observed values are identical, the value is considered null. Alternative: The expected value and the observed values differ substantially. One tail exists in the chi-square test.

The standard is as follows:

If the test statistic is higher than the threshold value, the null hypothesis is rejected. The same null hypothesis is rejected if the test statistic is below the crucial value. Because the chi-square is greater than 13.388 and the critical value is provided, the null hypothesis is therefore accepted at that level.

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Answer:

(x+5) (x^2+5)

Step-by-step explanation:

x^3+5x^2+3x+15

Using factoring by grouping

x^3+5x^2     +3x+15

x^2(x+5)   + 3(x+5)

Factor out (x+5)

(x+5) (x^2+5)

Answer:

( x + 5 ) (x² + 3)

Step-by-step explanation:

x³ + 5x² + 3x + 15

factor out x²

x² ( x + 5 ) + 3x + 15

factor out 3

x² ( x + 5 ) + 3 ( x + 5 )

factor out x + 5 from the expression

( x + 5 ) (x² + 3)

Option E is correct. People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used.

People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used because the polling firm is specifically interested in surveying a representative sample of registered voters in the United States.

The procedure targets registered voters by calling random phone numbers within the United States.

Since the focus is on registered voters, people who are not registered to vote are not part of the target population for this survey.

Therefore, their presence or absence in the sample does not affect the representativeness of the sample for registered voters. Option E is correct.

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Complete question:

A polling firm is interested in surveying a representative sample of registered voters in the United States. The firm has automated its sampling so that random phone numbers within the United States are called. Each time a number is called, the procedure below is followed. - If there is no response or if an answering machine is reached, another number is automatically called. - If a person answers, a survey worker verifies that the person is at least 18 years of age. - If the person is not at least 18 years of age, no response is recorded, and another number is called. - If the person is at least 18 years of age, that person is surveyed. Some people claim the procedure being used does not permit the results to be extended to all registered voters. Which of the following is NOT a legitimate concern about the procedure being used? (A) Registered voters with children under the age of 18 years may be underrepresented in the sample. (B) Registered voters with unlisted telephone numbers may be underrepresented in the sample. (C) Registered voters who have more than one telephone number may be overrepresented in the sample. (D) Registered voters who live in households consisting of more than one voter may be underrepresented. (E) People who are not registered to vote may bias the sample results.

Answer:

X = 26

Step-by-step explanation:

So we know that a straight line equals 180º and we're given both equations. So you just have to set both equations equal to 180. It should look like:

2(x + 15) + (3x + 20) = 180

Use distributive property on the first equation

2(x + 15) = 2x + 30 so now your equation looks like 2x + 30 + 3x + 20 = 180

Add like terms

2x + 30 + 3x + 20 → 2x + 3x = 5x → 30 + 20 = 50

Your equation should look like

5x + 50 = 180

Subtract 50 from both sides, your goal now is to get x by itself

180 - 50 = 130

Divide both sides by 5. 130/5 = 26

X = 26

So now the equations added up should equal 180º. Just plug 26 in to x to solve.

2(26 + 15) + (3 x 26 + 20) = 180

Answer:

Step-by-step explanation:

First off, if side BC and side EC are congruent, then this is an isosceles triangle. It then goes to follow by the Isosceles Triangle Theorem that angle EBC is also 67 degrees. By the Triangle Angle-Sum Theorem then, angle BCE is 180 - 67 - 67 which is 46 degrees. Angle BCE is supplementary to angle FCA which means they add up to equal 180, so angle FCA is 180 - 46 = 134.

Angle FCA = 134

The value of given 1.86 meters after converting it into feet is equal to 6.1024 feet.

1 meter is equal to 3.28084 feet

⇒ 1.86 meters = ( 1.86 ) × ( 3.28084 ) feet

⇒ 1.86 meters =  6.1023624 feet

Round off the value upto four decimal places we get,

⇒ 1.86 meters =  6.1024 feet

Therefore, the unit of 1.77 meters after converted to feet the value is equal to 6.1024 feet ( approximately ) .

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Answer:

y = 2x we need to solve when x= -3. Using elimination, we can solve this system of equations like this:

y = 2x

x = -3

*2  *2

simplify

y = 2x

-6 = 2x

subtract

y+6=0

-6    -6

y=-6

So, when x=-3, y=-6

Answer:

254.34 m²

Step-by-step explanation:

The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:

3.14 · 9²

3.14 · 81

= 254.34 m²

hope this helps!

Answer:

Area = 254.469004940773 m²

Step-by-step explanation:

formula : (area of a circle)

Area = π × r²

where r is the radius of the circle

\(\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m\)

then

Area = π × 9²

        = π × 81

        = 254.469004940773 m²

The exclamation point in the middle of a yellow triangle is a warning icon that may be seen on a variety of gadgets and software, including Windows PCs and Android smartphones.

It often serves as a signal for a problem or issue that needs addressing. Depending on the context in which it occurs, a symbol's precise meaning may change.

On a Windows computer, for instance, it can mean that a device driver needs to be updated, but on an Android phone, it might mean that a system update or an app has a bug that needs to be fixed.

Investigate the origin of the alert and take the necessary steps to resolve any problems that could be impacting your system or device.

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Answer: She had worked 156 hours in all of the month of september.

Step-by-step explanation: ....

Answer:

equation:   y = 5x

domain: all real numbers

range: all real numbers

Step-by-step explanation: