PLEASE I'M NOT SURE WHAT TO DO: Write the following equation in point-slope form: 16. The cost to rent a video game at a rental store can be modeled by a linear function. Renting a game for 1 night costs $1.50 and renting a game for 2 nights cost $2.7%. Write a linear equation that models the total cost of renting a game, y, as a function of the number of nights rented, x. Hint: find your ordered pairs then slope, point slope form is y-yı = m(x - x1) ​

648 is the three-digit positive integers have three different digits

According to the statement

we have given that there are three positive digit number are formed with three distinct digits.

And we have to find that the how many words are formed with distinct numbers.

So, to solve this type of problem the Combination formula is best.

Because it provides the all possibilities that from how many ways numbers are formed.

So, from a combination formula

here we take 9 two times because first time when we let a number then remaining numbers are 9.  and second time remaining numbers are also 9 because we let the distinct number but for third number there will be a probability that choosing number will be same.

So, Three digit positive number become from 9*9*8 =648

So, 648 is the three-digit positive integers have three different digits.

Learn more about COMBINATION here https://brainly.com/question/4658834

#SPJ1

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

#95141404393

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

Learn more about Surface Area here:

https://brainly.com/question/29298005

#SPJ1

Answer:

Step-by-step explanation:

el

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?

The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.

The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?

Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.

Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.

The inverse sine of 0.707 is π/4 radians or 45 degrees.

To learn more about : value

https://brainly.com/question/843074

#SPJ8

Based on the definition of  parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.

If two sides of a shape have the same slopes, it then means the shape is a parallelogram.

The quadrilateral that is given is said to have the following:

Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.

Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

Learn more about the parallelogram on:

https://brainly.com/question/20526916

#SPJ1

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

for such more question on cost

https://brainly.com/question/25109150

#SPJ8

Answer:

See Explanation

Step-by-step explanation:

1.

What happens when negative adds to negative; e.g (-a) + (-b)

First, we need to simplify the expression

\((-a) + (-b)\)

Open the brackets

\(-a - b\)

Factorize

\(-(a+b)\)

So, what happens is that: the two numbers are added together and the result is negated;

E.g.

\((-5) + (-3) = -(5 + 3) = -8\)

2.

What happens when positive is added to negative; e.g. a + (-b)

First, we need to simplify the expression

\(a + (-b)\)

Open the brackets

\(a - b\)

So, what happens is that: the negative number is subtracted from the positive number

And Yes; \(a + (-b)\) is the same as \(a - b\) (As shown above)

E.g.

\(5 + (-3) = 5 - 3 =2\)

3.

What happens when to positive minus a negative; e.g. a - (-b)

First, we need to simplify the expression

\(a - (-b)\)

Open the brackets

\(a + b\)

So, what happens is that; the two numbers are added together.

E.g.

\(5 - (-3) = 5 + 3 = 8\)

4.

What happens when negative minus a negative; e.g. (-a) - (-b)

First, we need to simplify the expression

\((-a) - (-b)\)

Open the brackets

\(-a + b\)

Reorder

\(b - a\)

So, what happens is that; the first number is subtracted from the second.

E.g.

\((-5) - (-3) = 3-5 = -2\)

Answer:

According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

What is the right angle triangle property?

In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.

Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.

The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.

Re-draw, the  Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.

In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.

The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,

Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

Learn more about the right-angle triangle property here;

brainly.com/question/22790996

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

D. Point S

Step-by-step explanation

The opposite of -5.5 is 5.5, therefore since Point S is at 5.5 on the number line, the answer is D.

Answer:

12.84

Step-by-step explanation:

Picture frame = $12

Sales tax = 7% (.07)

Explanation =

1) 12 * .07 = .84

Answer = .84

Total with sales tax = $12.84

The amount of sales tax on this picture frame would be; $12.84

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that price of a picture frame is $12 plus 7% sales tax.

The Picture frame = $12

The Sales tax = 7% (.07)

Therefore, the  amount can be calculated as;

12 x 0.07 = 0.84

0.84 + 12 = 12.84

Hence, Total with sales tax would be; $12.84

The amount of sales tax on this picture frame would be; $12.84

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

The explicit rule for the g(x) is g(x) = 54000 + 6000x

The definition of the function is given as

Initial = 60000

And the table of values

The definitions from the table imply that we simply add 6000 to the previous term to get the current term

This means that

Common difference, d = 6000

The sequence is then represented as

f(x) = a + (x - 1)d

So, we have

f(x) = 60000 + (x - 1) * 6000

Evaluate

f(x) = 54000 + 6000x

Hence, the equation is f(x) = 54000 + 6000x

Read more about sequence at

https://brainly.com/question/6561461

#SPJ1

Answer:

First one is b second one is a thrid is c

Step-by-step explanation:

Lets use process of elimination

Step-by-step explanation:

1. The order of the coordinate grid is like the alphabet. a comes before b,  x comes before y.

2. Step 1 This eliminates 3 and 4. So we are left with 2 and 1.

3. It is not 1 because there is no a and b coordinate. There is only a Y and x one.

4. 4 is on the x axis, 6 is on the y axis.

5. Thus, the answer is 2.

I hope this helps you. Please give me brainliest. also, a free comic i made, for being a good person.

Answer: It would be the first one (20 pens for 8$)

Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.

84.5 minutes reeeeeee

The car will take 84 minutes to go from Miami to Key Largo.

Given that, speed=80 km/hour and distance = 70 miles.

Speed is the rate at which an object's position changes, measured in meters per second. The equation for speed is simple: distance divided by time.

Now, convert miles to kilometres. We know that 1 mile=1.6 kilometre.

That is 70 miles =70×1.6 =112 km

Then, Time=Distance/Speed

⇒Time =112/80=1.4 hours

So, 1.4 hours=60×1.4=84 minutes

Therefore, the car will take 84 minutes to go from Miami to Key Largo.

To learn more about the speed visit:

https://brainly.com/question/7359669.

#SPJ2

Your question is incomplete, probably the complete question/missing part is:

A car is travelling 80 KM in an hour how many minutes will it take to go from Miami to key largo? (70 miles)

She took a 45.5% loss on the investment

Parameters:

Initial value = $16,000

Final value = $11,000

Clearly, she has sold shares at a lower price to how she bought, so we should expect a loss.

She took a 45.5% loss on the investment

Answer:

0.1875 and 0.12

Step-by-step explanation:

3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12

Answer:

1)0.1875

2)0.12

Step-by-step explanation:

Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

Answer:

a gas can hold 7×10=70 litters of gas

Answer:

y=4x-2

Step-by-step explanation:

We'll figure this out using our equation y=mx+b! m = slope and b = y-intercept. You start on the y line at -2 so we already know our y-intercept will be -2 so we have half the equation done, use rise (y) over run (x) to figure out the slope from (0,-2) to (1,2) as they're our two closest points, though you can work from wherever you choose. Our difference in y is 4 and our difference in x is 1, so 4 over 1 (4/1) = 4 our slope. :-) hope this helped and that I didn't oversimplify lol

it's 8,

let the no. of tired students be x

add all the numbers of the happy, hungry and in between students and then subtract from the total of the student

which has to look smth like this

happy = 10

so we fill all the numbers in between then we add them and see what's missing

1+3+2 = 6

10-6 = 4

4 students are happy

hungry = 7

1+1+3 = 5

7-5 = 2

2 students are hungry

and lastly for tired, they didn't mention the total so we add all the numbers we got and subtract them by the total of students (just like mentioned above)

2+1+1+3+4+2 = 13

21-13 = 8

8 students were tired

x = 8

Step-by-step explanation:

first lets do the bottom rectangular prism

v = l * w * h

l = 9

w = 3

h = 3

can you work out the volume and answer in the comments

Pennington's rate of change is; 80 miles per hour.

William's rate of change is; 60 miles per hour.

The family which is travelling faster is; Pennington's family.

It follows from the task content that the rate of change, otherwise termed slope is to be determined for each of Pennington and Williams.

For Pennington;

As evident in the given graphs; the distance travelled and time of travel are proportional.

Hence, by observation; Pennington's family travelled 40 miles in 0.5 hours and hence;

the rate of change = Distance / time is;

= 40/0.5

= 80 miles per hour.

For Williams;

As evident in the given graphs; the distance travelled and time of travel are proportional.

Hence, by observation; William's family travelled 180 miles in 3 hours and hence;

the rate of change = Distance / time is;

= 180/3

= 60 miles per hour.

On this note, the Pennington's family are traveling faster as their rate of change is greater.

Read more on rate of change;

https://brainly.com/question/25184007

#SPJ1

Answer:

Its all of them or just 6

Step-by-step explanation:

Answer:

0.025 = 2.5% probability that the sample mean would differ from the population mean by greater than 1.9 millimeters

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean diameter of 136 millimeters, and a variance of 36.

This means that \(\mu = 136, \sigma = \sqrt{36} = 6\)

Sample of 50:

This means that \(n = 50, s = \frac{6}{\sqrt{50}} = 0.8485\)

What is the probability that the sample mean would differ from the population mean by greater than 1.9 millimeters?

This is the probability that it is less than 136 - 1.9 = 134.1 millimeters or more than 136 + 1.9 = 137.9 millimeters. Since the normal distribution is symmetric, there probabilities are equal, which means that we can find one of them and multiply by two.

Probability that it is less than 134.1 millimeters:

This is the pvalue of Z when X = 134.1. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{134.1 - 136}{0.8485}\)

\(Z = -2.24\)

\(Z = -2.24\) has a pvalue of 0.0125

2*0.0125 = 0.025

0.025 = 2.5% probability that the sample mean would differ from the population mean by greater than 1.9 millimeters

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

Learn more about   Gaussian integral equation at:

https://brainly.com/question/33550421

#SPJ1