Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)

The linear equation of Johnny's charges is C(x) = 10 + 7.5x

From the question, we have the following parameters that can be used in our computation:

Initial charge = $10

Hourly rate = $7.50

Let the number of hours be x and the total cost be C(x)

So, we have the following representation

C(x) = Initial charge + Hourly rate * x

Substitute the known values in the above equation, so, we have the following representation

C(x) = 10 + 7.5x

Hence, the function is C(x) = 10 + 7.5x

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Complete question

Johnny charges $10 plus $7.50 per hour to mow lawns.

Determine the linear equation

Answer:

The correct answer is 1 feet/2.54 cm because the cm would cancel out

Step-by-step explanation:

Here, we want the ratio that would allow us convert from 45 cm into feet.

The correct answer here is 1 feet/2.54 cm because the cm would cancel out, leaving us with the feet only.

It would be a case like;

1 feet/2.54 cm * 45 cm

So, we would have;

(45 cm * 1 feet)/2.54 cm

Answer:

Step-by-step explanation:

change in x (horizontal) = 4 - 1 = 3

Change in y (vertical)  = 9 - 3 = 6

Slope = change in x / change in y

slope = 3 / 6 = 1/2

The residual if you know the actual number is 3 and the predicted value is 1.6l is 1.4.

The residual is a measure of the difference between the predicted value and the actual value. In this case, the actual number is 3, and the predicted value is 1.6. To find the residual, we subtract the predicted value from the actual value:

Residual = Actual Value - Predicted Value

= 3 - 1.6

= 1.4

Therefore, the residual in this case is 1.4.

The residual represents the error or the amount by which the predicted value differs from the actual value.

A positive residual indicates that the predicted value is lower than the actual value, while a negative residual indicates that the predicted value is higher than the actual value.

In this case, the positive residual of 1.4 indicates that the predicted value of 1.6 underestimates the actual value of 3 by 1.4.

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In RAND function, when we click anyplace in the succeed sheet use duplicate and afterward glue as values. returns an irregular number that is more noteworthy than or equivalent to 0 and under 1.

The subject of arithmetic incorporates amounts and their varieties, conditions and related designs, shapes and their areas, and where they can be found. The expression "function" alludes to the connection between a bunch of information sources, every one of which has a related result. An association among data sources and results in which each info prompts a solitary, particular outcome is known as a capability. Each capability is given a space and a codomain, or scope. Normally, f is utilized to signify capabilities (x). input is a x. There are four fundamental sorts of capabilities open. in view of the accompanying variables: on capabilities, coordinated capabilities, many-to-one capabilities, inside capabilities, and on capabilities.

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Telephone numbers, Social Security numbers, and Serial numbers are simply unique identifiers for a particular piece of currency that the issuer can use to track the issuance and eventual redemption by the check digits.

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Answer:

I think it would be 10 inches but I am not sure

Answer:

117649

Step-by-step explanation:

hope this helps :)

Answer:

117649

Step-by-step explanation:

The sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

To determine whether the sequence {an} = {\(8n^4 + n + 1\)} is convergent, we need to examine the behavior of the terms as n approaches infinity.

The sequence {an} is said to be convergent if there exists a real number L such that the terms of the sequence get arbitrarily close to L as n approaches infinity.

To investigate convergence, we can calculate the limit of the sequence as n approaches infinity.

lim(n→∞) \((8n^4 + n + 1)\)

To evaluate this limit, we can look at the highest power of n in the sequence, which is \(n^4.\) As n approaches infinity, the other terms (n and 1) become insignificant compared to n^4.

Taking the limit as n approaches infinity:

lim(n→∞) \(8n^4 + n + 1\)

= lim(n→∞) \(8n^4\)

Here, we can clearly see that the limit goes to infinity as n approaches infinity.

Therefore, the sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

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Answer:

16.5 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 13² = 21²

x² + 169 = 441 ( subtract 169 from both sides )

x² = 272 ( take the square root of both sides )

x = \(\sqrt{272}\) ≈ 16.5 cm ( to the nearest tenth )

The expression that is equivalent to √10 / (4√8) is given as √5 / 8

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

√10 / (4√8)

Simplifying:

= √10 / (4√(4 * 2))

= √10 / (8√2)

= √5 / 8

The expression that is equivalent to √10 / (4√8) is given as √5 / 8

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Answer:

3.6=30%    3.6+12=15.6       $15.6

Step-by-step explanation:

I hope this helps! Have a fantastic fri-yay! May I have brainliest!

Answer:

x = 58°

Step-by-step explanation:

The sum of the angles in Δ AHI = 180 , then

∠ AIH = 180° - (66 + 56)° = 180° - 122° = 58°

x and ∠ AIH are corresponding and are congruent , then

x = 58°

With n = 1, the total time elapsed before the ball comes to rest is 0.4 units of time. The total time elapsed before the ball comes to rest is represented by the formula t = (1/2)∑(0.8)^n as n approaches infinity.

The ball takes the same amount of time to bounce up as it does to fall, starting from the second bounce (n = 1). This means that for each subsequent bounce, the time it takes for the ball to reach its maximum height and return to the ground is the same.

The total time elapsed before the ball comes to rest is given by the formula t = (1/2)∑(0.8)^n, where n represents the number of bounces and ∑ denotes the summation notation. In this case, the summation starts from n = 1 and goes to infinity.

To calculate the total time, we substitute n = 1 into the formula: t = (1/2)(0.8)^1 = 0.4. Therefore, with n = 1, the total time elapsed before the ball comes to rest is 0.4 units of time.

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Step-by-step explanation:

73/ 4 carries additional sign +

1/2 carries (-)

so it will be 73/4+(-1/2)

It is B

Answer:

36

Step-by-step explanation:

That's it

Answer:

  180.1 g

Step-by-step explanation:

You want to know the mass of a radioactive isotope on the 19th day if it was 1200 g on the first day and decreased 10% per day.

The form of the equation for exponential decay is ...

  m(t) = a·b^(t-n)

where m is the remaining mass, 'a' is the amount on day n, and 'b' is the growth factor, equal to 1 plus the growth rate.

Here, we have a=1200 g on day n=1, and the growth rate is -10%, so ...

  b = 1 -0.10 = 0.90

That means ...

  m(t) = 1200·(0.90^(t -1))

On day 19, the beginning amount is ...

  m(19) = 1200·0.90^18 ≈ 180.1 . . . . grams

The mass of the sample at the beginning of day 19 is 180.1 grams.

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Step-by-step explanation:

\(radius = \frac{12}{2} \\ = 6 \\ area \: of \: circle =\pi \: {r }^{2} \\ = \pi \times {6}^{2} \\ \pi \times 36 \\ = 113.14\)

anss....wer....

Answer:

can be solved in two ways here you go

one is by either by finding r and using the formula

Area = πr²

Or by directly using the formula

Area = 1/4 πd²

we can see that the center is (-3, 3) and the radius is 9 units.

The general circle equation, for a circle with a center (a, b) and radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 + 6x = 6y + 63

Let's complete squares:

x^2 + y^2 + 6x - 6y =  63

(x^2 + 6x) + (y^2 - 6y) = 63

(x^2 + 2*3x) + (y^2 - 2*3y) = 63

Now we can add and subtract 9, (two times) so we get:

(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63

(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2

(x + 3)^2 + (y - 3)^2 = 9^2

Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.

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Cross sectional data are collected from several entities at the same point in time.

In statistics and econometrics, cross-sectional data, often known as a cross section of a research population, is a type of data gathered by watching numerous participants all at once. It's also possible that the analysis disregards variations in time.

You evaluate a data set at a certain point in time when you conduct a cross-sectional data analysis. Cross-sectional data is frequently sourced from surveys and public records. The datasets document observations of various variables at a specific time.

In conclusion, the correct option is A.

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The exact length of  curve y = (x^4/16) + (1/2)x^2 is obtained by integrating the arc length formula.

How we find the exact length of the curve defined by the equation y = (x\(^4\)/16) + (1/2)x\(^2\).

To find the exact length of the curve defined by the equation y = (x\(^4\)/16) + (1/2)x\(^2\), we can use the arc length formula. This formula calculates the length of a curve over a given interval by integrating the square root of the sum of the squares of the derivatives of x and y with respect to a parameter.

In this case, we need to find the derivative of y with respect to x, which is given by (4x\(^3\)/16) + x.

Using this derivative, we substitute it into the arc length formula, which becomes an integral of √(1 + ((4x\(^3/16\)) + x)\(^2\)) dx over the desired interval.

By evaluating this integral, we can obtain the exact length of the curve. The result will be a numerical value that represents the length of the curve in the given interval.

It is important to note that the specific interval over which we calculate the length will affect the final result.

The arc length formula allows us to find the precise length of the curve, taking into account its shape and path.

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Answer:

20 females

Step-by-step explanation:

40%=0.4

0.4*50=20

Answer:

10

Step-by-step explanation:

50/10 = 5

5 Seals per 10 %

5 x 2 (20 percent) gives us 10 Seals

Given: A = 43.7°, a = 8.7, and b = 10.3We can find the number of possible triangles by using the Law of Sines, which states that a / sin A = b / sin B = c / sin C, where a, b, and c are the side lengths and A, B, and C are the opposite angles. Let's first use the Law of Sines to find the value of sin B: a / sin A = b / sin B => sin B = b sin A / a.

Substituting the given values, we get: sin B = 10.3 sin 43.7° / 8.7≈ 0.641Now we know the value of sin B. We can use the inverse sine function (sin⁻¹) to find the possible values of angle B: B = sin⁻¹ (0.641)≈ 40.4° or B ≈ 139.6°Note that there are two possible angles for B because sine is a periodic function that repeats every 360°.Now that we know the possible values of angle B, we can use the fact that the sum of the angles of a triangle is 180° to find the possible values of angle C: C = 180° - A - B. For B = 40.4°, we get: C = 180° - 43.7° - 40.4° = 95.9°For B = 139.6°, we get: C = 180° - 43.7° - 139.6° = -2.3°Note that we get a negative value for angle C in the second case, which is not possible because all angles of a triangle must be positive. Therefore, the second case is not valid and we only have one possible triangle. Answer: There is only one possible triangle.

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The answer to the given binary operation is 10012. The binary operation of adding 1112 and 102 will be solved by converting the binary numbers to base 10, performing the addition in base 10, and then converting the result back to base 2.

Converting the binary numbers to base 10, we have 1112 = 7 and 102 = 2. Adding 7 and 2 in base 10 gives us 9. To convert the result back to base 2, we divide 9 by 2 repeatedly until the quotient becomes 0. The remainder in each division gives us the binary digits of the answer. In this case, 9 divided by 2 is 4 with a remainder of 1, and 4 divided by 2 is 2 with a remainder of 0. Therefore, the binary representation of 9 is 1001. Hence, the answer to the given binary operation is 10012.

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The experimental probability that the next marble drawn will be green is 41/50 or 0.82.

The experimental probability is calculated by dividing the number of favorable outcomes (green marbles drawn) by the total number of outcomes (total marbles drawn). In this case, you have drawn a green marble 41 out of 50 times.

To find the experimental probability of drawing a green marble on the next draw, we can use the data provided. Since each draw is independent and the marbles are replaced after each draw, the probability of drawing a green marble remains the same for each individual draw.

Therefore, the experimental probability of drawing a green marble on the next draw is equal to the probability of drawing a green marble in the previous draws, which is 41 out of 50.

Expressed as a fraction, the experimental probability is 41/50.

In decimal form, the experimental probability is 0.82.

So, the experimental probability that the next marble drawn will be green is 41/50 or 0.82.

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=========================================================

Explanation:

We have a triangle with these side lengths

The order of 'a' and b doesn't matter, but we must have c as the largest value. Usually a,b,c are in ascending order.

Plug those values into the formula for the pythagorean theorem. If we get the same thing on both sides, then we have a right triangle.

\(a^2 + b^2 = c^2\\\\31^2 + 72^2 = 78^2\\\\961+5184 = 6084\\\\6145 = 6084\\\\\)

We have a false statement at the end, which means the original equation is false for those a,b,c values.

Therefore, we do not have a right triangle.

Instead, this triangle is acute since the \(a^2+b^2\) side is larger than the \(c^2\) side

---------------

Rules to have in your notebook or on a reference sheet:

\(\text{If }a^2 + b^2 = c^2 \text{ then it is a right triangle}\\\\\text{If }a^2 + b^2 > c^2 \text{ then the triangle is acute}\\\\\text{If }a^2 + b^2 < c^2 \text{ then the triangle is obtuse}\\\\\)

For more information, check out the converse of the pythagorean theorem.

The distance between E(-4, 1) and F(3, -1) is √53

The coordinates are given as:

E(-4, 1) and F(3, -1).

The distance is calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

Substitute the known values in the above equation

d = √(-4 - 3)^2 + (1 + 1)^2

Evaluate the exponent

d = √53

Hence, the distance between E(-4, 1) and F(3, -1) is √53

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The area of ΔCDE will be 4 square units.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Given the triangle

Side CD is the base of the triangle

CD = 4

The height of the triangle is 2 units which can be counted by the grid.

Now,

Area of triangle = (1/2) × base × height.

Area of triangle = (1/2) × 4 × 2

Area of triangle = 4 unit square.

Hence "The area of ΔCDE will be 4 square units".

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Answer:

hmm... A is the answer but if anything comes up tell me