Marcus is a recent college graduate. He has $18,000 in student loans. He took out a loan to buy a car and owes $16,000. The car is now worth $14,000. He got his first paycheck and has $1400 in his checking account. What is Marcus' net worth? (Enter the positive or negative dollar amount only.)

Answer:

Incorrect

Step-by-step explanation:

150 students are 100%,

82 students are x%

(82*100)/150=54,67%, so  that is more than half of all students

Answer:

Marco is NOT correct

Step-by-step explanation:

150 / 2 = 75

so more than half of the students were 6th graders

55% of students were 6th graders, that's my benchmark but I'm not really sure.

5

Step-by-step explanation:

your answer is 5 the greatest common factor is 5

10= 5

25=5

15= 5

Let 't' be the time at which Andre catches up with Morgan.

We know by definition of distance that:

where 's' is the speed and 't' is the time.

In this case, the distance that Morgan travels in time t is:

Since Andre starts 2 hours late, we have that in his case, the expression would be:

Equating both expressions and solving for t, we get the following:

therefore, Morgan would have driven for 20 hours before Andre catches up to him

Answer:

y=-2x+3 (first choice)

Step-by-step explanation:

-y-intercept is at positive 3, so the "b" value is +3

-the line is going downward from left to right, so the slope is negative

-slope is defined as rise over run, which is 2/1, or 2, so the "m" value is -2

-that gives you the functions equation to be y=-2x+3.

Answer:

Billy he is going to get 10 and the other one 1p

The area of the region bounded by the graphs of the equations y = 9/x, x 1, x e, y 0 is approximately 9.249 square units.

The given equations are:

y = 9/x

x = 1

x = e

y = 0To find the area bounded by these equations, we need to integrate the equation from

x = 1 to

x = e.To find the integral of

y = 9/x, let us first solve it for y.

x = 1,

y = 9/

1 = 9

x = e,

y = 9/

3 ≈ 2.97So the integral of

y = 9/x from

x = 1 to

x = e is:∫[1 to e]9/x

dx=9 ln x | [1 to e]Now substitute the values:9 ln(e) - 9

ln(1)= 9This is the area bounded by the given equations, and it is approximately 9 square units.

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This expression (62y) will give us the total number of books.

To calculate the total number of books that can be stacked on all the bookcases, we need to multiply the number of bookcases (y) by the number of books that each bookcase can hold (62). This expression (62y) will give us the total number of books that can fit on all the bookcases. This expression is especially useful if you have multiple bookcases with identical capacities.

For example, if there are 23 bookcases, we would multiply 23 by 62 to get 1,426 books. 23 × 62 = 1,426 books. Thus, the expression 62y can be used to calculate the total number of books that can be held in all the bookcases.

This expression is a quick and efficient way to determine the total number of books that can be held in all the bookcases. It is also useful since it can be adjusted depending on the number of bookcases. For instance, if there are 25 bookcases, we would multiply 25 by 62 to get 1,550 books. 25 × 62 = 1,550 books. Alternatively, if there are 32 bookcases, we would multiply 32 by 62 to get 1,984 books. 32 × 62 = 1,984 books

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Answer:

10.8 sec

Step-by-step explanation:

Setting \(h=10\),

\(-16t^2+170t+40=10 \\ \\ 16t^2 -170t-30=0 \\ \\ 8t^2 - 85t-15=0 \\ \\ t=\frac{85 \pm \sqrt{(-85)^2-4(8)(-15)}}{2(8)} \\ \\ t \approx 10.8 (t>0)\)

The simplification of the given expression using laws of Indices is; y³z⁷

We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.

The above can be expressed as;

(y⁻² * z³)/(z⁻⁴ * y⁵)

Collecting like terms gives;

(y⁻²/y⁵) * (z³/z⁻⁴)

= y⁻² ⁺ ⁵ * z³ ⁺ ⁴

= y³z⁷

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Answer:

y^18/z^18

Step-by-step explanation:

Answer:

6,162.50 JA

Step-by-step explanation:

Is this true?

72.50x80= 6,162.50 JA

Using the laws of simplification of fractions, we can find that in the simplest terms, cos M has a fraction value of 3/5.

In order to express a piece of a whole or a ratio of two numbers, a fraction requires a numerator (top number) and a denominator (bottom number) separated by a fraction bar.

The ratio of the neighbouring side to the hypotenuse of a right triangle is known as the cosine of an angle.

As a result, to calculate cos M, we must find the side that is perpendicular to M and divide it by the hypotenuse.

The length of the triangle's third side, KL, can be calculated using the Pythagorean theorem as shown below:

KL² + LM² = KM²

12² + 9² = 15²

144 + 81 = 225

225 = 15²

Taking the square root of both sides:

KL = √ (15² - 12²)

KL = √ (225 - 144)

KL = √81

KL = 9

As a result, angle M's neighbouring side, KL, has a length of 9. Therefore, by dividing 9 by 15, we can calculate cos M:

KL/KM = cos M = 9/15

To make this fraction simpler, divide the numerator and denominator by their 3 largest common factor:

cos M = (9/3)/ (15/3) = 3/5

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Answer:

4

Step-by-step explanation:

Please find attached my workings (Brainly equation editor is not working for me at the moment)

Answer:

4

Step-by-step explanation:

\( (3^8 \cdot 2^{-5} \cdot 9^0)^{-2} \cdot (\dfrac{2^{-2}}{3^3})^4 \cdot 3^{28} = \)

\(= 3^{-2 \times 8} \cdot 2^{-5 \times (-2)} \cdot 1 \cdot \dfrac{2^{-2 \times 4}}{3^{3 \times 4}} \cdot 3^{28}\)

\( = 3^{-16} \cdot 2^{10} \cdot \dfrac{2^{-8}}{3^{12}} \cdot 3^{28} \)

\(= \dfrac{2^{10} \times 3^{28}}{3^{16} \cdot 2^{8} \cdot 3^{12}}\)

\( = \dfrac{2^{2} \times 3^{28}}{3^{28}} \)

\( = 4 \)

Answer:

A

Step-by-step explanation:

6x° and 54° form the angle of 90° , that is

6x + 54 = 90 ( subtract 54 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

then

6x = 6 × 6 = 36°

Ramon rode his bike away from home, covering a distance of 8 meters in 4 seconds. After stopping for 3 seconds to tie his shoe, he realized he forgot something and moved back towards home, covering another 8 meters in 2 seconds. In total, Ramon covered a distance of 16 meters.

let's break down Ramon's movements step by step:
1. Ramon rides his bike away from his house and moves 2 meters every second for 4 seconds.
  - In this step, Ramon covers a distance of 2 meters/second * 4 seconds = 8 meters.
2. Ramon stops for 3 seconds to tie his shoe.
  - During this time, Ramon does not cover any distance since he is stationary.
3. Ramon realizes he forgot something at home and goes back, moving 4 meters every second for 2 seconds.
  - In this step, Ramon covers a distance of 4 meters/second * 2 seconds = 8 meters.
To find the total distance covered by Ramon, we add the distances covered in each step:
8 meters (away from home) + 0 meters (stationary) + 8 meters (back towards home) = 16 meters
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The value of the equation a = (1/4)×b in terms of a is b = 4a.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression a = (1/4)×b.

Now, Making 'b' the subject is the same as solving for 'b'.

We know when a term is multiplied by another term moving it to the other side we have to take its reciprocal.

Therefore,  a = (1/4)×b.

b = a×(4/1).

b = 4a.

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we can use trigonometry

where a is the angle

oppositeside and the oppiste side from the angle a

so replacing

the measure of theta is 11.57°

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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Among the given options, the only reaction that is spontaneous and endothermic is when Delta H = +50 kJ and Delta S = +100 J/K at 600 K.

To determine if a reaction is spontaneous, we consider the sign of the Gibbs free energy change (Delta G), which is related to Delta H (enthalpy change) and Delta S (entropy change) by the equation Delta G = Delta H - T Delta S, where T is the temperature in Kelvin.

For a reaction to be spontaneous, Delta G must be negative. In this case, an endothermic reaction (positive Delta H) can still be spontaneous if the increase in entropy (positive Delta S) dominates at a sufficiently high temperature.

Among the given options, only when Delta H = +50 kJ and Delta S = +100 J/K at 600 K satisfies this condition. By substituting these values into the equation, we have Delta G = (+50 kJ) - (600 K * +100 J/K) = -550 kJ, which is negative. Therefore, this reaction is both spontaneous (Delta G < 0) and endothermic (positive Delta H).

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a) P(X+Y = 12) = p6r6

b) True

Using the convolution formula, where X and Y are the outcomes of rolling the two dice, we can find the probability distribution of their sum for k=2, 7, and 12.

P(X+Y = k) = Σ P(X=i)P(Y=k-i)

For k = 2, we have:

P(X+Y = 2) = P(X=1)P(Y=1) = p1r1

For k = 7, we have:

P(X+Y = 7) = P(X=1)P(Y=6) + P(X=2)P(Y=5) + P(X=3)P(Y=4) + P(X=4)P(Y=3) + P(X=5)P(Y=2) + P(X=6)P(Y=1)

= p1r6 + p2r5 + p3r4 + p4r3 + p5r2 + p6r1

For k = 12, we have:

P(X+Y = 12) = P(X=6)P(Y=6) = p6r6

To show that P(S = 7) > P(S = 2)r6/r1 + P(S = 12)r1/r6, we can use the formulae we derived in part (a).

Substituting k=7, we have:

P(S = 7) = p1r6 + p2r5 + p3r4 + p4r3 + p5r2 + p6r1

Substituting k=2 and k=12, we have:

P(S = 2) = p1r1

P(S = 12) = p6r6

Substituting these into the inequality, we get:

p1r6 + p2r5 + p3r4 + p4r3 + p5r2 + p6r1 > p1r1(r6/r1) + p6r6(r1/r6)

p1r6 + p6r6 > p1r6 + p6r6

which is true. Therefore, P(S = 7) > P(S = 2)r6/r1 + P(S = 12)r1/r6.

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The interquartile range of the data set is equal to 6.

The interquartile range is a measure of statistical dispersion, or data spread. The IQR is also known as the midspread, middle 50%, or middle 50%.

The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.

Given data set is 2 4 6 8 10 12. The upper range is 8 10 12 and the lower range is 2 4 6.

Calculate the median of the upper range and the lower range and subtract it.

Median upper range = 10

Median lower range = 4

The interquartile range is calculated as,

IQR = 10 - 4 = 6

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When diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

Step 1: Create an equation that connects a sphere's volume to radius as the first step.

V = 4/3*π*r³

Step 2: Calculate each side's derivative in respect to time (Let the time be "t").

(d/dt)V = (d/dt)(4/3*π*r³)

dV/dt = 4πr²*dr/dt

Step 3: The problem description informs us that the diameter is 600 m, hence r must be 30 mm.

Additionally, it is stated that now the radius of a sphere is expanding at a rate of 2 mm/s; as a result, dr/dt must equal 2 mm/s.

We are interested in dV/dt, or the rate of change of the sphere's volume.

dV/dt = 4π(30mm)²*(2mm/s)

dV/dt = 22,620 mm³/s

So, when diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

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Answer:

Uhhhh i think its B?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

angles 3 and 7 are corresponding angles, so they are equivalent!!

if you need me to explain the types of angles in a situation like this I gladly will! i hope this helped you!! <3

Answer:

Decrease by 5.5 percent

1-.945 = .055

= 5.5 percent

The coordinates of the vertex are (-2, 2). The equation of the axis of symmetry is x = -2. The parabola opens downward.

We are given a graph. The graph represents a function. The function is quadratic in nature. We need to find the coordinates of the vertex. It is a downward parabola. The vertex of the parabola is its maximum.

The x-coordinate of the vertex of the parabola is -2. The corresponding y-coordinate of the vertex of the parabola is 2. Hence, the coordinates of the vertex are (-2, 2).

The graph shown is of a downward parabola. The axis of symmetry passes through the vertex and is parallel to the y-axis. The equation of the axis of symmetry is x = -2.

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2.55906 wide is 6.5 cm in inches by unit conversion.

What is  unit conversion ?

The same feature is expressed in a different unit of measurement through a unit conversion. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles. The units of a measured quantity can be changed without changing the value using a conversion factor, which is an expression representing the connection between units.

                               The numerator and denominator of a conversion ratio (also known as a unit factor) have the same value whether represented in various units, and the ratio itself always equals one (1).

 1 cm =  0.393701 inch

6.5 cm = 2.55906 inch

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Pie charts are effective in conveying percentages and are commonly used in data analysis and presentations.

The true statement about pie charts is that they are effective in showing percentages. Pie charts are a common data visualization tool used to represent proportions or percentages of a whole.

The chart is divided into slices, with each slice representing a specific category or data point. The size of each slice is proportional to the percentage it represents within the whole.

This visual representation makes it easier for viewers to understand the distribution and relative proportions of different categories or variables. Pie charts are therefore frequently used in data analysis and presentations because they are good at communicating percentages.

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Given:

Amanda sold 13 rolls of plain wrapping paper and 12 rolls of holiday wrapping paper for a total of $208.

And,

Mofor sold 4 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $55.

Let, x be the cost of one roll of plain wrapping paper and y be the cost of one roll of holiday wrapping paper.

The equations are,

Solve the equations,

Put the value of y in equation (2),

Answer:

The cost of one roll of plain wrapping paper is x = $4.

The cost of one roll of holiday wrapping paper is y = $13.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=2827.43\\ h=4 \end{cases}\implies 2827.43=\pi r^2(4)\implies \cfrac{2827.43}{4\pi }=r^2 \\\\\\ \sqrt{\cfrac{2827.43}{4\pi }}=r\hspace{5em}\stackrel{\textit{twice that is the \underline{diameter}}}{2\sqrt{\cfrac{2827.43}{4\pi }}} ~~ \approx ~~ \text{\LARGE 30}\)

Answer:

Equation:  \(\frac{7}{3}t + \frac{5}{2}t = 87\)

Hours: 18

Step by Step:

(7/3)t + (5/2)t = 87

(14/6)t + (15/6)t = 87

(29/6)t = 87

29t=522

t=28

Answer:

The conditional form of this statement is false.

Step-by-step explanation:

Angles that are less than 90°, also known as right angle, are known as acute angles.

So, any angle that has a measure between 0° and 90° are known as acute angles.

The statement provided is:

"An angle with a measure of 88° is an acute angle."

The conditional form of this statement provided is:

"If an angle is an acute angle, then its measure is 88°."

This statement is false.

This is because an acute angle can measure between 0° and 90°.

It is not necessary that the measure of an acute angle is 88°.

Thus, the conditional form of this statement is false.

Answer:

this angle would be acute

Step-by-step explanation:

why? because its less than 90 in which means it acute.