Yancy rents a car for $20 per day plus 12 cents per mile. He had the car for one day and was charged $63.68.

The graph of the equation y = 8x - 6 is a straight line.

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept

(0, b).

Given is an equation, y = 8x - 6

Finding the coordinates,

Put x = 0, y = -6

(0, -6)

Put y = 0

8x = 6

x = 0.75

(0.75, 0)

Plotting the graph,

Hence, we will get a straight line of the graph.

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The value of x is 1.

On comparison, when two or more triangles have some common relations with respect to their sides or measure of internal angles, they are said to be similar.

To find the value of x, compare the corresponding sides of the two triangles.

To have;

7x/ 9x = (8x - 1)/ (10x + 1)

9x (8x - 1) = 7x(10x + 1)

72x^2 - 9x = 70x^2 + 7x

collect like terms

72x^2 - 70x^2 - 9x + 7x = 0

2x^2 -2x = 0

2x(x - 1) = 0

2x = 0 or x - 1 = 0

x = 0. or x = 1

Therefore,

x = 1

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Answer:

Step-by-step explanation:

ur mom ur mommy

Answer:

we conclude that an inequality 'c ≥ 5' denotes this situation.

Step-by-step explanation:

Given

When we talk about 'at least', it means we are talking about '≥' in terms of representing the 'at least' in inequality symbol.

For instance,

'm≥n' means 'm' is greater than or equal to 'n'.

It means 'm' is at least equal to 'n'.

Coming back to the question,

As the car dealer ship sells at least 5 minivans. so the

inequality will be: c ≥ 5

Thus, we conclude that an inequality 'c ≥ 5' denotes this situation.

Answer:love that pfp,  

Step-by-step explanation:

Answer:25 divided by 1,675 =67

Step-by-step explanation:

Step-by-step explanation:

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Answer:

option 4

Step-by-step explanation:

let c represent the old amount , then twice the old amount is 2c.

1.5 less than twice the old amount is 2c - 1.5 , so

2c - 5 = 6

Answer:

I believe it's (D) So I would choose that

Answer:9/40

Step-by-step explanation: Multiply probability of getting desktop by probability of getting laptop.  3/4 (desktop)* 3/10 (laptop)=9/40(desktop &laptop) .  That fraction can't be reduced and is equal to .225 or 22.5%

The length and the width of the rectangle are 1cm and 8/3cm

The formula that is used to calculate the area of a rectangle is expressed with the equation;

A = lw

Given that the parameters are;

From the information given, we have that;

Length = 3w - 7

Substitute the values, we have;

40 = (3w - 7)w

expand the bracket

40 = 3w² - 7w

3w² - 7w - 40 = 0

3w² + 15w - 8w - 40 = 0

3w(w + 5) - 8(w + 5) = 0

w = 8/3 or - 5

Length = 3(8/3) - 7 = 1

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Answer:

2 \(\frac{3}{4}\)

Step-by-step explanation:

2 + \(\frac{3}{4}\)

= 2 \(\frac{3}{4}\) ← as a mixed number

Answer:

The length of the rectangle is 13

Step-by-step explanation:

13 times 2 its equal 26

The statement that "a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect" is true.

The surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it is called a torus. The torus is a three-dimensional surface that can be thought of as a doughnut shape. The curve that generates the torus is called the generator, and the line about which the curve is rotated is called the axis of rotation. The torus has the interesting property that it has a hole in the center, and the distance from any point on the surface to the center of the torus is constant.

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According to the 68-95-99.7 rule, in a normal distribution, approximately 95% of the data falls within two standard deviations of the mean. Therefore, the monsoon rains in 95% of all years would fall between:

Mean - 2 * standard deviation = 856 - 2 * 89 = 856 - 178 = 678 mm

Mean + 2 * standard deviation = 856 + 2 * 89 = 856 + 178 = 1034 mm

So, the monsoon rains in 95% of all years would fall between 678 mm and 1034 mm.

In the driest 2.5% of all years, we need to consider the lower tail of the distribution. According to the 68-95-99.7 rule, approximately 2.5% of the data falls beyond two standard deviations below the mean. Therefore, we can calculate the value below which the monsoon rains are in the driest 2.5% of all years as follows:

Mean - 2.5 * standard deviation = 856 - 2.5 * 89 = 856 - 222.5 = 633.5 mm

So, the monsoon rains in the driest 2.5% of all years are smaller than 633.5 mm.

The 68-95-99.7 rule is a guideline that helps understand the distribution of data in a normal distribution. It states that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. By applying this rule, we can estimate the range within which the monsoon rains fall in 95% of all years to be between 678 mm and 1034 mm. Similarly, for the driest 2.5% of all years, we calculate the lower threshold to be 633.5 mm. This means that in only 2.5% of all years, the monsoon rains would be smaller than this value, indicating particularly dry conditions.

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The media challenge faced in the scenario is increasing audience fragmentation.

The cost price is abbreviated as C.P.  The price at which an article is sold is known as its selling price. The selling price is abbreviated as S.P.It is a price above the cost price and includes a percentage of profit also.

The media challenge described in the scenario is increasing audience fragmentation. Audience fragmentation occurs when there are numerous media options available, and consumers have different preferences and behaviors regarding media consumption. This makes it challenging for media planners and buyers to identify the most effective media outlets to reach their target audience. In the case of Ford, their media planners and buyers had put a lot of effort into selecting the best media outlets, but still had to pull their campaign due to the challenges posed by audience fragmentation. Therefore, the media challenge faced in the scenario is increasing audience fragmentation.

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Answer:

x

Step-by-step explanation:

Answer:

the answer is Z all you have to do is move it left 4 times and then up 6 times

The power function y = √(9x^5) can be written as\(y = kx^p\) as \(y = 3x^(5/2)\)

A power function is a single-term function where the real number, the coefficient, and the variable are each raised to a specified real number. To write the given power function in the form of \(y = kx^p\) it is required to   simplify the given equation,

\(y = √(9x⁵)\)

\(= √(9 × x⁴ × x)\)

\(= √(9 × ( x² )² × x)\)

\(= 3 × x² ×√x\)

\(= 3 × x² × x^(1/2)\)

\(= 3 × x^ (5/2)\)

The above equation can be written in the form \(y = kx^p\)where;

k = 3 and p = 5/2

Therefore, the power function of  y = √(9x^5) can written as y = 3x^(5/2)

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Answer:

Step-by-step explanation:

Given functions

We can see the slopes are same, g(x) = f(x) + 8

Answer:

D

Step-by-step explanation:

F.y=6x-5

G y=6x+3

The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

Given that equation  \(\frac{16x+12}{2}=100\)  and asked to evaluate the value of x in the given equation

⇒ \(\frac{16x+12}{2}=100\)(given equation)

To solve the given equation, need to use the various mathematical  operations i.e division and subtraction)

⇒8x+6=100 ( using the operation division)

⇒8x=100-6 (using the operation subtraction)

⇒8x=94

⇒x=\(\frac{94}{8}\)(using the operation division)

⇒x=11.825

By using the mathematical  operations i.e division and subtraction the value of x came as 11.825

⇒Therefore, The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

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The width of the dumpster that minimizes its surface area is approximately 1.71 yards, and the length is approximately 3.42 yards.

The length of the rectangular dumpster is equal to two times its width, or 2x, if x is its width. The dumpster's height is not specified, however it is not necessary for this issue.

We need to determine the dumpster's size to reduce the amount of surface area it has. The following sources provide the rectangular dumpster's surface area:

A = lw + lh + lw

where w stands for width, l for length, and h for height.

Given that the container must hold \(20 yd3\) of waste, we can use the formula for the volume of a rectangular solid to create the following sentence:

\(V = lwh = (2x) (x)\\h = 2x^2 h = 20\\h = 10/x^2\)

Inputting this expression for h into the surface area A formula yields the following results:

\(A = 2lw + 2lh + 2wh = 2(x)(2x) + 2(x)(10/x) + 2(2x)(10/x) = 4(x)(2x) + 40(x)\)

We can take the derivative of A with respect to x, set it equal to zero, and solve for x to determine the dimensions that minimise A:

\(dA/dx = 8x - 40/x^2 = 0\\8x = 40/x^2\\x^3 = 5\\x = (5)^(1/3)\\\)

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The equation that describes the number of bacteria in both the foods when they are mixed is; Option C: 35T₂ + 55T + 450

We are given the equations that describes the number of bacteria in both the foods when they are mixed.

Equation for first bacteria is;

N₁(T) = 15T₂ + 60T + 300

Equation for second Bacteria is;

N₂(T) = 20T² - 5T + 150

The equation that describes the number of bacteria in both the foods when they are mixed is;

N₁(T) + N₂(T) = 15T₂ + 60T + 300 +  20T² - 5T + 150

⇒ 35T₂ + 55T + 450

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When the two values compared by the NULLIF function are equal, the function returns a NULL value. This is because the NULLIF function is designed to return NULL when the two compared values match, allowing for easier handling of data in certain situations.

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The two values compared by the nullif function are equal, the function will return a null value. This is because the nullif function compares two expressions and returns a null value if they are equal, otherwise it returns the first expression. In other words, nullif will only return a non-null value if the two expressions being compared are not equal.

the nullif function is commonly used in SQL to handle null values in expressions or comparisons. It allows you to substitute a null value with another value or nullify an expression if a specific condition is met. If the two values compared by the nullif function are equal, it means that the expression is nullified, and the function will return a null value.

the nullif function is a useful tool for handling null values in SQL. If the two values compared by the function are equal, it will return a null value. It is important to keep this in mind when using the function in your SQL queries.
Hi! I'd be happy to help with your question.

If the two values compared by the NULLIF function are equal, the function returns a NULL value.

The NULLIF function compares two expressions and returns a NULL value if they are equal. Otherwise, it returns the value of the first expression. The syntax for the NULLIF function is: NULLIF(expression1, expression2).

the NULLIF function returns NULL when the two compared values are equal, and the value of the first expression when they are not equal.

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Answer:

the answer is 5.

Step-by-step explanation:

If you divide 8800 by 1760, the answer will be 5.

a) The approximate probability that the average test score in the class of size 25 lies between 72 and 82 is 0.576.

b) The approximate probability that the average test score in the class of size 64 lies between 72 and 82 is 0.873.

c) The approximate probability that the average test score in the class of size 25 is higher than that of the class of size 64 is 0.006.

d) The class of size 64 is more likely to have averaged 83.

In order to calculate the probabilities, we can use the concept of the Central Limit Theorem, which states that the distribution of sample means will be approximately normally distributed, regardless of the shape of the population distribution, as long as the sample size is sufficiently large.

For part (a), the sample size is 25. We can calculate the z-scores for the lower and upper bounds of the range (72 and 82) using the formula:

z = (x - μ) / (σ / sqrt(n))

where x is the value of interest, μ is the population mean, σ is the population standard deviation, and n is the sample size. Plugging in the values, we find that the z-scores for 72 and 82 are -0.33 and 0.67, respectively.

We then use a standard normal distribution table or a calculator to find the corresponding probabilities for these z-scores. The probability of the average test score in the class of size 25 lying between 72 and 82 is the difference between these two probabilities, which is approximately 0.576.

For part (b), we follow the same procedure as in part (a), but now the sample size is 64. The z-scores for 72 and 82 are -0.625 and 0.625, respectively. Using a standard normal distribution table or calculator, we find the corresponding probabilities and calculate the difference, which is approximately 0.873.

For part (c), we compare the z-scores for the two sample sizes (25 and 64) at the mean of the population distribution (77). The z-score for a sample size of 25 is (77 - 77) / (15 / sqrt(25)) = 0, and the z-score for a sample size of 64 is (77 - 77) / (15 / sqrt(64)) = 0. The probability that the average test score in the class of size 25 is higher than that of the class of size 64 is the area under the curve to the right of zero, which is approximately 0.006.

Finally, for part (d), we compare the average scores of the two classes (76 and 83) with the population mean (77). The class of size 64, with an average score of 83, is closer to the population mean of 77, suggesting that it is more likely to have averaged 83 compared to the class of size 25.

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The standard formula for finding the equation of a line is expressed as

y = mx +b

m is the slope of the line

b is the y-intercept of the line

The slope of a line is the measure of its steepness.

Given the equation y = 2x + 4, the slope of the line is 2 and the y-intercept is 4. The y-intercept shows that the line will cut the y-axis at y = 4

The required graph of the equation is as shown in the attachment.

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Answer:

40600151844.........

Answer:

40, 600, 151,844

Step-by-step explanation:

this is two million seven hundred and forty eight, times two hundred three, to get forty billion six hundred million one hundred fifty one thousand eight hundred forty-four.

We know that 4 times 64 equals 256, so know we need to figure out what 64/4 is. 16. Now, 16/4, which is 4. 4 to the power of 4 equals 256.

Answer: 4

Northside Christian Academy has 528 students enrolled this year. That is an in- crease of 10% over last year's enrollment. How many students were enrolled last year?

Let

x ------> students enrolled last year

we have that

100%+10%=110%=110/100=1.10

so

528=1.10x

solve for x

x=528/1.10

x=480

Answer:

this pdf is not downloading .

no idea what to do now .

can you give question on comments

Answer:

-21

Step-by-step explanation:

Let x be the smallest of the three consecutive integers.

\(x + x + 1 + x + 2 = - 60\)

\(3x + 3 = - 60\)

\(3x = - 63\)

\(x = - 21\)

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

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