Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.

b) How much did he have, after the purchase of the game?

Answer:

-8x-36 i think

Step-by-step explanation:

Answer: -8x-36

Step-by-step explanation: multiply -2x by 4 and -9 by 4

Answer:

Montresor deserves to be penalised in court with the sentencing of 1st degree murder. Montresor was not insane, he was a pervasive murderer because of his motive.

Hope this helps!

--Applepi101

A litter of pupples had 2 white pupples and 3 brown pupples. What percent of white pupples are in the litter? Round to the nearest whole number.?

답변:(C) 40%

We can conclude that the end behavior of the function \($h(x)$\) is that it approaches negative infinity as \($x$\) approaches either positive or negative infinity.

What is meant by end behavior?

End behavior refers to the behavior of a function as the input (usually denoted by x) becomes extremely large (approaches positive or negative infinity). It describes the trend of the function as the input approaches infinity or negative infinity, and is determined by the highest-degree term of the function.

To determine the end behavior of the function \($h(x)=-4x^2+11$\), we can use limits. Specifically, we can evaluate the limit of \($h(x)$\) as \($x$\) approaches positive infinity and as \($x$\) approaches negative infinity.

As \($x$\) approaches positive infinity, we have:

\(\lim_{x \to \infty} h(x)= \lim_{x \to \infty} (-4x^2+11) = - \infty\)

This tells us that as \($x$\) gets larger and larger, the value of \($h(x)$\) becomes more and more negative, eventually approaching negative infinity.

Similarly, as \($x$\) approaches negative infinity, we have:

\(\lim_{x \to -\infty} h(x)= \lim_{x \to -\infty} (-4x^2+11) = - \infty\)

This tells us that as \($x$\) gets more and more negative, the value of \($h(x)$\) becomes more and more negative, also approaching negative infinity.

Therefore, we can conclude that the end behavior of the function \($h(x)$\) is that it approaches negative infinity as \($x$\) approaches either positive or negative infinity.

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Answer:

(-4/5)x= -26-2

(-4/5)x= -28

x= -28/1÷ -4/5

x= -28/1 ×5/-4

x= -7/5 or -1.7

The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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Answer:

a. $256

Step-by-step explanation:

The computation of the maximum allowable recurring debt is shown below:

Given ratio = 28:36

And the monthly income is $3,200

So the maximum expense on housing = 28% of $3,200 = $896

And, the maximum expense on total debt = 36% of $3,200 = $1,152

Now the maximum alloweable recurring debt is

= $1,152 - $896

= $256

Answer:

the answer is A

Step-by-step explanation:

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer: To find the number of liters of water in the first pool after x minutes have passed, we can use the formula:

972 + 17x

To find the number of liters of water in the second pool after x minutes have passed, we can use the formula:

44x

Note that both of these formulas assume that the pools are being filled continuously, without any interruptions. If the flow of water into either pool is interrupted at any point, the actual amount of water in the pools may be different from what these formulas predict.

Answer:

a)

17x + 972

44x

b)

972 + 17x = 44x

Step-by-step explanation:

Answer:

  not similar

Step-by-step explanation:

You want to know if two isosceles triangles are similar, given that one has a base angle of 78°, and the other has an a.pex angle of 16°.

The base angles of the triangle with a.pex angle 16° will be ...

  (180° -16°)/2 = 82° . . . . . . not 78°

Two isosceles triangles will be similar if they have congruent base angles. These triangles do not, so they are not similar.

Answer:

if younger one weighs 1 ton, then older one is heavier

Step-by-step explanation:

1 ton = 2000lbs

The value of x is 4.47 units

In the given figure, there are two right angle triangle, to find the value of x we have to solve each triangle using the Pythagorean theorem.

Consider the bottom triangle

Base of the triangle = 6 units

The hypotenuse of the triangle = 9 units

Apply the Pythagorean theorem

The third side of the triangle = \(\sqrt{9^2-6^2}\)

= \(\sqrt{81-36}\)

= \(\sqrt{45}\) units

Similarly consider the top triangle

The base of the triangle = 5 units

The hypotenuse of the triangle = \(\sqrt{45}\) units

The third side of the triangle = \(\sqrt{\sqrt{45}^2- 5^2}\)

= \(\sqrt{45-25}\)

= \(\sqrt{20}\)

= 4.47 units

Hence, the value of x is 4.47 units

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Answer:

60

Step-by-step explanation:

3.92 = (6.56/100) * _

To solve for _, we can multiply both sides by 100:

100 * 3.92 = (6.56/100) * _

100 * 3.92 = 6.56 * _

_ = (100 * 3.92) / 6.56

Therefore, _ = 60.

Answer: 60

Step-by-step explanation:

Answer:

1 +6 x + 12 x 2 + 8x 3

Explanation:

We must use our knowledge of the binomial expansion:

Method 1:

We can use:

(

x

+

1

)

n

=

1

+

n

x

+

n

(

n

−

1

)

2

!

x

2

+

n

(

n

−

1

)

(

n

−

2

)

3

!

x

3

+

...

Substituting  

n

=

3

and  

x

for  

2

x

⇒

(

2

x

+

1

)

3

=

1

+

(

3

⋅

2

x

)

+

3

⋅

2

2

!

⋅

(

2

x

)

2

+

3

⋅

2

⋅

1

3

!

⋅

(

2

x

)

3

=

1

+

6

x

+

12

x

2

+

8

x

3

Method 2:

We can use:

(

A

+

B

)

n

=

A

n

+

(

n

1

)

A

n

−

1

B

1

+

(

n

2

)

A

n

−

2

B

2

+

...

Letting  

A

=

2

x

and

B

=

1

for this circumstance:

(

2

x

+

1

)

3

=

(

2

x

)

3

+

(

3

1

)

(

2

x

)

2

(

1

)

+

(

3

2

)

(

2

x

)

1

(

1

)

2

+

(

3

3

)

(

2

x

)

0

(

1

)

3

=

8

x

3

+

12

x

2

+

6

x

+

1

Step-by-step explanation:

The input value for which f(x) = g(x) is true is -1

The formula for calculating the equation of a line is expressed as:

\(y=mx+b\)

m is the slope

b is the y-intercept

For table 1,

Get the slope:

\(Slope=\frac{3-3}{3-2}\\Slope =\frac{0}{1} \\Slope =0\)

Use the coordinate (-2, 3) and m = 0 to get the value of "b"

\(y=mx+b\\3 = 0(-2) + b\\b = 3\)

The required function for table 1 is f(x) = 3

For table 2:

Get the slope:

\(Slope=\frac{0-1}{3-2}\\Slope =\frac{-1}{1} \\Slope =-1\)

Use the coordinate (-2, 4) and m = -1 to get the value of "b"

\(y=mx+b\\4 = -1(-2) + b\\b = 4-2\\b=2\)

The required function for table 2 is g(x) = -x + 2

If the function f(x) = g(x), hence:

-x + 2 = 3

-x = 3 - 2

-x = 1

x = -1

Hence the input value for which f(x) = g(x) is true is -1

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Answer: -1

Step-by-step explanation:

We are given the equation

4x + 210 - 2x = 260

Firstly, we need to collect the like terms

4x - 2x + 210 = 260

2x + 210 = 260

Secondly, Make 2x the subject of the equation

2x = 260 - 210

2x = 50

Divide both sides by 2

2x/2 = 50/2

x = 25

The answer is 25

The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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Answer:

The slope is -3/4 and the y intercept is 5

Step-by-step explanation:

- 3x - 4y= -20

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

Solve for y

Add 3x to each side

- 3x - 4y+3x=3x -20

-4y = 3x-20

Divide by -4

-4y/-4 = 3x/-4  -20/-4

y = -3/4 x+5

The slope is -3/4 and the y intercept is 5

Answer:

Slope: \(\displaystyle-\frac{3}{4}\)

Y-intercept: 5

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: \(y=mx+b\), where m is the slope and b is the y-intercept.

\(-3x-4y=-20\)

To find the slope and y-intercept of the given line, rearrange the equation into slope-intercept form. We can do this by isolating y.

Add 3x to both sides:

\(-3x-4y+3x=-20+3x\\-4y=3x-20\)

Divide both sides by -4:

\(y=\displaystyle -\frac{3}{4} x+5\)

Now, we can identify \(\displaystyle-\frac{3}{4}\) to be in place of m, the slope, and 5 to be in place of b, the y-intercept. Here is a comparison:

\(y=\displaystyle -\frac{3}{4} x+5\)

\(y=mx+b\)

I hope this helps!

Answer: She will earn $1275

Step-by-step explanation:

it says sue earns 600 for working 40 hours so divide 600 by 40 to find out how much earns per hour which is $15 (600/40=15) then you take 15 time 85 to find out how much she earns (15x85=1275).

Answer:

The force pulling down the ramp is 374.6 lb

The force pressing on a line perpendicular to the ramp is 927.1 lb

Step-by-step explanation:

Given;

weight of boat (mg) , w = 1000 lb

angle of inclination of the ramp, θ = 22 degrees.

The force pulling the boat down, which is 'mg' has two components; the parallel component of the force which is pulling down the ramp and the vertical component of the force which is force pressing on a line perpendicular to the ramp

Parallel component of the force, F = mgsinθ

                                                      F = wsinθ

                                                      F = 1000 sin(22)

                                                      F = 1000 x 0.3746

                                                     F = 374.6 lb

Vertical component of the force which is force pressing on a line perpendicular to the ramp.

F = mgCosθ

F = wCosθ

F = 1000 x Cos(22)

F = 1000 x 0.9271

F = 927.1 lb

The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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Therefore, the probability of pumping gas into more than 5 cars during the 30-minute period is 0.

To find the probability of an event, we sum the probabilities of the individual outcomes that make up the event. In this case, we want to find the probability that the service station will pump gas into more than 5 cars during the 30-minute period.

The given probabilities for pumping gas into 0, 1, 2, 3, 4, and 5 or more cars are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively.

To find the probability of pumping gas into more than 5 cars, we need to sum the probabilities of pumping gas into 0, 1, 2, 3, 4, and 5 cars and subtract it from 1:

P(more than 5 cars) = 1 - [P(0 cars) + P(1 car) + P(2 cars) + P(3 cars) + P(4 cars) + P(5 cars)]

P(more than 5 cars) = 1 - (0.03 + 0.18 + 0.24 + 0.28 + 0.10 + 0.17)

P(more than 5 cars) = 1 - 1.00

P(more than 5 cars) = 0

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Answer:

that all depends on the car mileage, say she gets 20 mpg itd be 20x22

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.

The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.

In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.

To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.

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It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.

Given data: Bending rheometer: 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm for t = 15s, 30s, 45s, 60s, 75s, and 90s.

We are supposed to calculate the values of S(t) and m to check if the asphalt meets PG grading requirement.

Calculation of m:

Mean wheel track rut depth = (0.4+0.5+0.65+0.82+0.98+1.3)/6

= 0.7933mm

Calculation of S(t)

S(t) = (x - m)/0.3

Where, x = 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm

Given, m = 0.7933mm

Substituting these values into the formula above:

S(15s) = (0.4 - 0.7933)/0.3

= -1.311S(30s)

= (0.5 - 0.7933)/0.3

= -0.9777S(45s)

= (0.65 - 0.7933)/0.3

= -0.4777S(60s)

= (0.82 - 0.7933)/0.3

= 0.128S(75s)

= (0.98 - 0.7933)/0.3

= 0.62S(90s)

= (1.3 - 0.7933)/0.3

= 1.521

It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.

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The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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The total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200. To split a group of 10 people into two groups of size 3 and one group of size 4, we can use the concept of combinations.

The number of ways to split the group can be calculated by determining the number of combinations of selecting 3 people from 10 for the first group, then selecting 3 people from the remaining 7 for the second group, leaving the remaining 4 people for the third group.

To split the group of 10 people into two groups of size 3 and one group of size 4, we can calculate the number of ways using combinations. The first group of size 3 can be formed by selecting 3 people from the total of 10 people. This can be represented as C(10, 3) = 10! / (3!(10-3)!).

Evaluating this expression:

C(10, 3) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120.

After selecting the first group, we are left with 7 people. From these 7 people, we need to select another group of size 3, which can be represented as C(7, 3) = 7! / (3!(7-3)!).

Evaluating this expression:

C(7, 3) = 7! / (3! * 4!) = (7 * 6 * 5) / (3 * 2 * 1) = 35.

Lastly, we have 4 people remaining, and they will form the third group of size 4. Since there is only one group left, there is only one way to assign the remaining 4 people to this group.

Therefore, the total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200.

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Answer:

b) 360 degrees

Step-by-step explanation:

180° x 2 triangles = 360°