What is x? Please explain.

Answer:

it increases by 5 basically if you graph it you will see the increase of the slope by 5 and its 10x,9y

Brainliest answer pls

The population of the study is club members who were asked whether they preferred a new sauna or new steam room

The order of operations is a collection of rules that gives the correct sequence of steps for doing a calculation. BIDMAS is an acronym used to tell you the correct order to complete a calculation when there are different operations . It stands for Brackets, Indices , Division, Multiplication, Addition and Subtraction.

Thus solving the expression;

we first solve all the multiplication parts:

7 x 6 - 5 x 4 + 1 x 3

Now addition:

= 42 - 20 + 3

Lastly subtraction:

= 42 - 23

= 19

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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Answer:

1/45

Step-by-step explanation:

Here is the complete question

here are 2 yellow, 3 green, 1 orange, and 4 red cards in a stack of cards turned facedown. Once a card is selected, it is not replaced. Find each probability.

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

1. P(two yellow cards)

there are a total of 10 cards and 2 yellows cards. If 1 yellow card is picked, it would remain 1 yellow card and 9 cards

P(two yellow cards) = 2/10 x 1/9 = 1/45

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.

The F-test is a statistical test used to compare the variances of two groups.

In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.

Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.

Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.

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Step-by-step explanation:

The correct answer is C buddy.

good luck ♥️♥️♥️♥️♥️.

Ratio ≈ 1,800

To determine how many times greater the mass of a proton is compared to the mass of an electron, we can calculate the ratio of their masses.

Mass of a proton = 1.6 x 10^(-27) kg

Mass of an electron = 9.1 x 10^(-31) kg

To find the ratio, we divide the mass of a proton by the mass of an electron:

Ratio = (Mass of a proton) / (Mass of an electron)

= (1.6 x 10^(-27) kg) / (9.1 x 10^(-31) kg)

To simplify the calculation, we can rewrite the masses using scientific notation:

Ratio = (1.6 / 9.1) x (10^(-27) / 10^(-31))

= 0.1758 x 10^(4)

Since 0.1758 is approximately 0.18, we have:

Ratio ≈ 0.18 x 10^(4)

We can further simplify this by converting the scientific notation back to regular decimal notation:

Ratio ≈ 0.18 x 10^(4)

= 0.18 x 10,000

Simplifying the multiplication, we get:

Ratio ≈ 1,800

Therefore, the mass of a proton is approximately 1,800 times greater than the mass of an electron. So the answer is not one of the options provided.

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The equivalent pair of the expression is x² + 18x + 17

Algebraic expressions are simply defined as expression that are composed of variables, terms, constants, factors, and coefficients.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are listed as;

From the information given, we have that the expression is;

(x + 1)(x + 17)

expand the bracket by multiplying the values

x² + 17x + x + 17

Now, add the like terms, we have;

x² + 18x + 17

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Answer:

D

Step-by-step explanation:

Answer:

Jada

Step-by-step explanation:

We are given Jada's distance in kilometers and Han's distance in meters. To compare the two we need to have them both in the same unit of measurement.

One kilometer is equal to 1000 meters, so Jada ran 15.25*1000=15250 meters.

Compared to Han, who ran 8500 meters, Jada ran farther. 15250>8500.

Part A: Solve the inequality, showing all necessary steps:

The solution to the inequality |1/4x - 3| - 5 > 4 is x < -24 or x > 48.

Part B: Describe the graph of the solution:

The graph consists of two disjoint intervals on the number line, one to the left of -24 and one to the right of 48, representing the values of x that satisfy the inequality.

Part A: Solve the inequality, showing all necessary steps:

Given: |1/4x - 3| - 5 > 4

Add 5 to both sides of the inequality:

|1/4x - 3| > 9

Split the inequality into two cases:

Case 1: 1/4x - 3 > 9

Case 2: 1/4x - 3 < -9

For Case 1:

Add 3 to both sides:

1/4x > 12

Multiply both sides by 4 to isolate x:

x > 48

For Case 2:

Add 3 to both sides:

1/4x < -6

Multiply both sides by 4 to isolate x:

x < -24

Therefore, the solution to the inequality |1/4x - 3| - 5 > 4 is:

x < -24 or x > 48.

Part B: Describe the graph of the solution:

The graph of the solution consists of two separate regions on the number line.

To the left of -24, all values of x satisfy the inequality, and to the right of 48, all values of x also satisfy the inequality.

However, the values between -24 and 48 do not satisfy the inequality. The graph would include an open circle at -24 and an open circle at 48 to indicate that those values are not included in the solution.

The shaded regions on the number line would be to the left of -24 and to the right of 48, representing the values of x that satisfy the inequality.

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The general solution of the given differential equation is given by:

\(\[y(x) = y_h(x) + y_p(x) = {c_1}{{\rm e}^{{r_1}x}} + {c_2}{{\rm e}^{{r_2}x}} + \frac{{53}}{6} + \frac{1}{6}{x^3}\]\)

where \(\[{c_1}\]\)and \(\[{c_2}\]\)are constants that can be found using the initial conditions.

The given differential equation is given by the second order differential equation. We can solve it by finding its corresponding homogeneous equation and particular solution.

The given differential equation is:

\(\[\frac{{{d^2}y}}{{d{x^2}}} = \left\langle {12 - 12{x^2},2 - x,{x^2}} \right\rangle \]\)

To find the solution of the differential equation, we need to solve its corresponding homogeneous equation by setting the right-hand side of the equation equal to zero. Then, we can add the particular solution to the homogeneous solution.

The corresponding homogeneous equation of the given differential equation is:

\(\[\frac{{{d^2}y}}{{d{x^2}}} = \left\langle {12 - 12{x^2},2 - x,{x^2}} \right\rangle = \left\langle {12,2 - x,{x^2}} \right\rangle - \left\langle {12{x^2},0,0} \right\rangle\]\)

Therefore, the homogeneous equation is:

\(\[\frac{{{d^2}y}}{{d{x^2}}} = \left\langle {12,2 - x,{x^2}} \right\rangle\]\)

The characteristic equation of the homogeneous equation is given by:

\(\[{r^2} - (2 - x)r + 12 = 0\]\)

Using the quadratic formula, we can find the roots of the characteristic equation as:

\(\[{r_1} = \frac{{2 - x + \sqrt {{{(x - 2)}^2} - 4 \cdot 1 \cdot 12} }}{2} = \frac{{2 - x + \sqrt {{x^2} - 8x + 52} }}{2}\]and \[{r_2} = \frac{{2 - x - \sqrt {{{(x - 2)}^2} - 4 \cdot 1 \cdot 12} }}{2} = \frac{{2 - x - \sqrt {{x^2} - 8x + 52} }}{2}\]\)

Thus, the homogeneous solution of the given differential equation is given by:

\(\[y_h(x) = {c_1}{{\rm e}^{{r_1}x}} + {c_2}{{\rm e}^{{r_2}x}}\]\)

where \(\[{c_1}\]\) and \(\[{c_2}\]\)are constants that can be found using the initial conditions. To find the particular solution of the given differential equation, we can use the method of undetermined coefficients. Assuming the particular solution of the form:

\(\[y_p(x) = {A_1} + {A_2}x + {A_3}{x^3}\]\)

Differentiating the above equation with respect to x, we get:

\(\[\frac{{dy}}{{dx}} = {A_2} + 3{A_3}{x^2}\]\)

Differentiating the above equation with respect to x again, we get: \\([\frac{{{d^2}y}}{{d{x^2}}} = 6{A_3}x\]\)

Now, substituting the values of

\(\[\frac{{{d^2}y}}{{d{x^2}}}\], \[\frac{{dy}}{{dx}}\]\)

and y in the differential equation, we get:

\(\[6{A_3}x = \left\langle {12 - 12{x^2},2 - x,{x^2}} \right\rangle - \left\langle {12{x^2},0,0} \right\rangle\]\)

Comparing the coefficients of x on both sides, we get:

\(\[6{A_3}x = x^2\]\)
Therefore, \(\[{A_3} = \frac{1}{6}\]\)

Now, substituting the value of \(\[{A_3}\]\) in the above equation, we get:

\(\[\frac{{dy}}{{dx}} = {A_2} + \frac{1}{2}{x^2}\]\)

Comparing the coefficients of x on both sides, we get:

\(\[{A_2} = 0\]\)

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Answer:

B

Step-by-step explanation:

Answer:

im pretty sure that it's c

Step-by-step explanation:

3000 - 500 is 2500, and It's c because it's asking how much greater

Answer: A, i think -_-

(a) (An B)° = Aºn Bº: The interior of the intersection of sets A and B is equal to the intersection of their interiors. (b) A°UB° C (AUB)°: The union of the interiors of sets A and B is a subset of the interior of their union. (c) A° U B° ≠ (AUB)°: There are sets A and B in R where the union of their interiors is not equal to the interior of their union.

(a) To prove (An B)° = Aºn Bº, we need to show that any point in the interior of the intersection of A and B is also in the intersection of their interiors, and vice versa. Suppose x is in (An B)°, then there exists ε > 0 such that V₂(x) ⊆ An B. By definition of intersection, we can write V₂(x) ⊆ A and V₂(x) ⊆ B. Hence, x is in A° and B°, implying x is in A°n B°. The reverse inclusion can also be shown similarly. (b) To prove A°UB° C (AUB)°, we need to show that any point in the union of the interiors of A and B is also in the interior of their union. Let x be in A°UB°, then x is either in A° or B° (or both). Without loss of generality, let x be in A°. There exists ε > 0 such that V₂(x) ⊆ A. Since A ⊆ AUB, we have V₂(x) ⊆ AUB, which implies x is in (AUB)°. (c) Consider the sets A = [0, 1] and B = (1, 2) in R. The interior of A is (0, 1) and the interior of B is (1, 2). The union of their interiors is (0, 1) U (1, 2) = (0, 2). On the other hand, the interior of their union is the interior of [0, 2] which is (0, 2]. Therefore, A° U B° ≠ (AUB)°, showing that the inclusion in part (b) may not be strict.

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Answer:

If Samuel drives a compact car, he would need to buy 243.75 gallons of gas per year. If he drives a pickup truck, he would need to buy 250.25 gallons of gas per year. So he would need to buy 6.5 more gallons of gas per year if he drives a pickup truck compared to a compact car.

Step-by-step explanation:

28+19x=-8+15x​

Move the variable terms ( the one with "x" ) to the left side of the equation.

19x-15x = -8-28

4 x = -36

Divide both sides by 4:

4x/4 = -36/4

x= -9

Answer:

B

Step-by-step explanation:

44/77

=0.55

Answer:

(4,0)

Step-by-step explanation:

Solve for x so 2x - 3x = -4 then -x = -4 so x = 4

Step-by-step explanation:

80+70+2×+×=180

=150+2×+×=180

=150+3×=×180

180-150=3×

30=3×

/3=/3

×=10

The approximate circumference of this Spaceship is equal to 157 meters.

Mathematically, the volume of a sphere can be calculated by using this mathematical expression:

Volume = 4/3 × πr³

Where:

r represents the radius.

By substituting the given points into the volume of a sphere formula, we have the following;

65,417 = 4/3 × 3.14 × r³

r³ = 65,417/4.1867

Radius, r = ∛15,624.96

Radius, r = 25 meters.

Mathematically, the circumference of a sphere can be calculated by using this mathematical expression:

Circumference of a sphere, C = 2πr

Circumference of a sphere, C = 2 × 3.14 × 25

Circumference of a sphere, C = 157 meters.

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Answer: \(M=\Large\boxed{(4 ,~2 )}\)

Step-by-step explanation:

Given information

\((x_1,~y_1)=(3,~1)\)

\((x_2,~y_2)=(5,~3)\)

Given the midpoint formula

\(M=(\dfrac{x_1+x_2}{2} ,~\dfrac{y_1+y_2}{2} )\)

Substitute values into the given formula

\(M=(\dfrac{3+5}{2} ,~\dfrac{1+3}{2} )\)

Simplify the values on the numerator

\(M=(\dfrac{8}{2} ,~\dfrac{4}{2} )\)

Simplify the fractions

\(M=\Large\boxed{(4 ,~2 )}\)

Hope this helps!! :)

Please let me know if you have any questions

To find f(-4), f'(-4), and f''(-4), we can compare the given third-degree Taylor polynomial \(P(x) = 4 + 3(x+4)^2 - (x+4)\) with the Taylor expansion of f(x) centered at x = -4.

The general form of the Taylor expansion of a function f(x) centered at x=a is given by:

\(f(x) = f(a) + f'(a)(x-a) + \frac{1}{2!}f''(a)(x-a)^2 + \frac{1}{3!}f'''(a)(x-a)^3 + \ldots\)

Comparing the given polynomial P(x) with the Taylor expansion, we can identify the corresponding terms:

f(-4) = 4 (the constant term in P(x))

f'(-4) = 0 (since the derivative term (x+4) in P(x) is zero)

f''(-4) = -1 (the coefficient of (x+4) term in P(x))

From the given information, we can determine that f'(-4) = 0, which means that the derivative of f(x) at x = -4 is zero. However, this is not sufficient to determine whether f has a critical point at x = -4.

A critical point occurs when the derivative of a function is either zero or undefined. To determine whether f has a critical point at x = -4, we need to know more about the behavior of f(x) in the vicinity of x = -4, such as the values of higher-order derivatives and the behavior of the function on both sides of x = -4. Without this additional information, we cannot definitively determine whether f has a critical point at x = -4.

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Answer:

So we know that if we have an unknown variable that is not stated in the question we can always say Meg buys X vintage T-shirts.

The cost of X vintage T-shirts can be expressed as 16X.

Meg's remaining birthday money after purchasing X vintage T-shirts may be computed by subtracting the cost of the T-shirts from the total amount of birthday money received:

Amount of money Meg has left = Total amount of birthday money - Cost of X vintage T-shirts

= $200 - $16X

So, the function that describes the amount of birthday money Meg has left after purchasing X vintage T-shirts is:

f(X) = $200 - $16X

This is a linear function with a negative slope of -16, indicating that the amount of money Meg has left decreases as she buys more T-shirts.

Answer:

  $4.80

Step-by-step explanation:

You want to know the finance charge on a balance of $480 if the APR is 12%.

The monthly finance charge is the product of the monthly interest rate and the balance. The monthly interest rate is 1/12 of the annual rate.

  finance charge = (1/12 · 12%) · $480 = 0.01 · $480 = $4.80

The finance charge on the next monthly statement is $4.80.

Answer:

Step-by-step explanation:

42.00x6=252

A set of transformations that have been performed on the graph of f(x) = ∛x to obtain the graph of g(x) = 1/4(∛(x + 3) + 6 include the following:

A. Translate the graph up

B. Stretch the graph away from x-axis

E. Translate the graph to the left

In Mathematics, the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate of the pre-image or function.

In Mathematics, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

In conclusion, we can logically deduce that the graph of the parent function was stretched away from x-axis.

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