There are 3 consecutive integers that have a sum of 36. What are the integers?

Answer:

$180

Step-by-step explanation:

Well because it is $27 per hour, you can start with the whole hours:

6*27=162

then because you are working with fractions you can find what 1/3 of 27 is:

27* (1/3)=9

this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.

Then you just add it all up:

162+18=180

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The remainder when dividing f(x) by x+2 is -1.

To find the remainder when dividing f(x) by x+2, we can use the Remainder Theorem. According to the Remainder Theorem, if we divide a polynomial f(x) by (x - a), the remainder is equal to f(a). In this case, we are dividing f(x) by (x + 2), so we need to find f(-2) to determine the remainder.

Substituting x = -2 into the function f(x), we get:

f(-2) = 4(-2)^2 - 3(-2) + 3

f(-2) = 4(4) + 6 + 3

f(-2) = 16 + 6 + 3

f(-2) = 25

Therefore, the remainder when f(x) is divided by x+2 is -1.

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Answer:

C) An outside narrator would tell (us) about the friend's and James's thoughts, feelings, and actions.

Step-by-step explanation:

In the "Third Person Point of View" a narrator (that is outside of the text) and the narrator is "All Seeing" which means the narrator knows everyone's thought and feelings.

According to "The Balance Careers" states that

"The third-person point of view is a form of storytelling in which a narrator relates all the action of their work using third-person pronouns such as "he," "she," and "they." It's the most common perspective in works of fiction."

Answer:

c

Step-by-step explanation:

edge 2020

When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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Answer: the missing part is 45

suppose:  the missing part is x

we use Thales theorem:

\(\frac{x}{18}=\frac{20}{8}\\\\=> x = \frac{20.18}{8}=45\)

Step-by-step explanation:

use thales theorem to solve this question

Answer:

2320 Degrees F

Step-by-step explanation:

We just need to add the absolute value of both to get the difference.

|-2250| + |70| = 2320

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The statement which is true about the equation is; The discriminant is greater than 0, so there are two real roots.

The discriminant of a quadratic equation of the form; ax² + bx +c = 0 is given by the formula;

This discriminant is used to determine what type of roots, the equation would have.

For this scenario;

Hence, we can conclude that the discriminant of the equation is greater than zero, so there are two real roots.

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Answer:

B on Edge 23

Step-by-step explanation:

because i said so

Answer: Harvey’s used 10.5 pounds of Colombian coffee and 7.5 pounds of mocha jave coffee

Step-by-step explanation:

Let x = pounds of Colombian coffee

Let y = pounds of mocha jave coffee

see image

Harvey used 10.5 pounds of Colombian Coffee and 7.5 pounds of Mocha Java Coffee.

It is given that per pound price of Colombian Coffee is $ 4.89 and per pound price of Mocha Java Coffee is $ 5.43.

We have to write an equation and solve for no. of pounds of each type of beans used by Harvey.

What are the algebraic expressions ?

The algebraic expressions are the combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Let's assume ; x = pounds of Colombian Coffee and y = pounds of Mocha Java Coffee.

It is given that ;

x + y = 18 pounds

or

x = 18 - y -------------- ------- ----- ----- Equation 1

Also ;

Per pound price of Colombian Coffee = $ 4.89

Per pound price of Mocha Java Coffee = $ 5.43

So;

The new expression will be ;

4.89 x + 5.43 y = 92.07

4.89 (18 - y) + 5.43 y = 92.07

4.89 × 18 - 4.89 y + 5.43 y = 92.07

88.02 + 0.54 y = 92.07

0.54 y = 92.07 - 88.02

0.54 y = 4.05

y = 4.05 ÷ 0.54

⇒ y = 7.5 pounds

So ;

x = 18 - 7.5

⇒ x = 10.5 pounds

Thus , Harvey used 10.5 pounds of Colombian Coffee and 7.5 pounds of Mocha Java Coffee.

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The chi-square goodness-of-fit test can provide important information about whether the observed data significantly deviates from the expected distribution, which categories or bins contribute to the deviation, and the overall goodness-of-fit of the data to the expected distribution.

The chi-square goodness-of-fit test is a statistical test used to determine if a sample of data comes from a population with a specific distribution. Specifically, the test compares the observed frequencies of data in different categories or bins with the expected frequencies of data in those categories based on a hypothesized distribution.

It can determine whether the observed data significantly deviates from the expected distribution. If the test results in a p-value less than the chosen level of significance, it indicates that the observed data significantly deviates from the expected distribution, and the null hypothesis (that the data follows the expected distribution) can be rejected.

It can identify which categories or bins contribute the most to any significant deviation. The test statistic and associated p-value can help to identify which categories or bins show significant differences between the observed and expected frequencies.

It can provide information on the overall goodness-of-fit of the data to the expected distribution. The test statistic provides a measure of the overall goodness-of-fit, with higher values indicating greater deviation from the expected distribution.

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The probability that the card has a multiple of 3 and an odd number is 20%.

Given:

The number of cards: 15

Multiples of 3 and odd no are 3,9, and 15.

The number of cards Multiples of 3 and odd number = 3

Probability of getting a multiple of 3 cards = 3/15× 100

⇒ 20%

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

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A confidence interval of 0.111 is not specific enough to interpret without more information about the context of the problem and the parameter being estimated.

A confidence interval is a range of values that is estimated to include an unknown parameter. The parameter is usually a mean or proportion and the range of values is estimated by using data from a sample.

A confidence interval of 0.111 expresses that the point estimate of the parameter (mean or proportion) falls within a range of values from 0.111 units below to 0.111 units above the point estimate.

The interpretation of the confidence interval depends on the context of the problem. For example, if the parameter is a mean of heights of all adult men in a population and the confidence interval is (175, 185), we would interpret this interval as follows:

we are 95% confident that the true mean height of all adult men in the population is between 175 and 185 centimeters long.

Another example: if the parameter is a proportion of registered voters who support a certain candidate and the confidence interval is (0.46, 0.54), we would interpret this interval as follows:

we are 95% confident that the true proportion of registered voters who support the candidate is between 46% and 54%.

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The length of each arc intercepted by each slice is 2.09 inches.

The area of each slice 18.85 square inches .

To find the length of each arc intercepted by each slice and the area of each slice of a pizza that is 12 inches in diameter, follow the steps below. Length of each arc intercepted by each slice

The formula to find the length of each arc is given by:

L = θ/360 * 2πr

WhereL = length of arc

θ = angle of arc in degrees

r = radius of circle (diameter/2)

Given, diameter of pizza = 12 inches

So, radius of pizza = 12/2 = 6 inches

Since the pizza is cut into 6 equal slices, each slice will have an angle of 360/6 = 60 degrees.

Now, substituting the given values in the formula:

L = 60/360 * 2π* 6L = 1/6 * 12πL = 2π/3 ≈ 2.09 inches

The formula to find the area of each slice is given by:

A = θ/360 * πr²

Given, diameter of pizza = 12 inches

So, radius of pizza = 12/2 = 6 inches

Since the pizza is cut into 6 equal slices, each slice will have an angle of 360/6 = 60 degrees.

Now, substituting the given values in the formula:

A = 60/360 * π* 6²A = 1/6 * 36π

A = 6π ≈ 18.85 square inches

Thus, the length of each arc intercepted by each slice is approximately 2.09 inches and the area of each slice is approximately 18.85 square inches.

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Answer:

D (12.8)

Step-by-step explanation:

There are ten spaces between 12 and 13, and the point is on the eighth space

Answer:the answer is d.

Step-by-step explanation:

To find the equation of a line parallel to the given line y - 5 = -13(x + 2), we need to determine the slope of the given line.

The given line is in slope-intercept form y = mx + b, where m is the slope. By comparing the equation y - 5 = -13(x + 2) with the slope-intercept form, we can see that the slope is -13.

A line parallel to this line will have the same slope of -13.

Now we can use the slope-intercept form of a line (y = mx + b) and substitute the given point (6, -1) to find the y-intercept (b).

-1 = -13(6) + b

-1 = -78 + b

b = 77

Therefore, the equation of the line parallel to y - 5 = -13(x + 2) and passing through the point (6, -1) is:

y = -13x + 77

Comparing this equation with the given answer choices, we can see that the correct answer is:

d. Y = -x/3 - 17/3

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Answer:

slope: 1/2

y int: 1

equation: y=1/2x + 1

Step-by-step explanation:

first you look at the graph and see how many times the table goes up by, the y goes up by 2 and the x goes up by 1 and since it is rise over run (x being run and y being rise) your slope is 1/2.

The y intercept is easy, you always start at 0 and see where the y starts with the 0 and since the 1 is underneath the 0 your y intercept is 1.

The equation is simple add al your parts together. Your slope (make sure to put an x right next to it) and your y intercept: ex. y=3x + 2

The common ratio of the set of data is 0. 1

To determine the common ratio of a set of data, we have to

For the given set of data

0.1,0.01,0.001

Let's divide the second term by the first term

= 0. 01/ 0. 1

= 0. 1

Thus, the common ratio of the set of data is 0. 1

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Answer:

Samir would need to invest about $6,644.96, rounded to the nearest ten dollars, for the value of the account to reach $14,000 in 16 years.

Step-by-step explanation:

We can use the formula for compound interest:

A = P(1 + r/n)^(n*t)

where:

A = final amount (in this case, $14,000)

P = initial principal (what Samir needs to invest)

r = interest rate (2.5% or 0.025)

n = number of times the interest is compounded per year (365, since it's compounded daily)

t = time (16 years)

Substituting these values into the formula, we get:

14000 = P(1 + 0.025/365)^(365*16)

Simplifying the right side, we get:

14000 = P(1.00006849315)^5840

Dividing both sides by (1.00006849315)^5840, we get:

P = 14000/(1.00006849315)^5840

Using a calculator, we get:

P ≈ 6,644.96

So Samir would need to invest about $6,644.96, rounded to the nearest ten dollars, for the value of the account to reach $14,000 in 16 years.

The function $f(x) = \frac{1}{|x^2 + 3x - 4| + |x^2 + 9x + 20|}$ is not defined when the denominator is equal to zero. $(-\infty, -5) \cup (-5, -4) \cup (-4, 1) \cup (1, \infty)$

So we need to find the real values of $x$ where:
$|x^2 + 3x - 4| + |x^2 + 9x + 20| = 0$
We know that the absolute value of a number is always non-negative. So for the equation above to be true, both absolute value expressions must be equal to zero simultaneously:
$x^2 + 3x - 4 = 0$ and $x^2 + 9x + 20 = 0$
Now, we can solve these quadratic equations to find the real values of $x$:
$x^2 + 3x - 4 = (x + 4)(x - 1) = 0$, so $x = -4, 1$
$x^2 + 9x + 20 = (x + 4)(x + 5) = 0$, so $x = -4, -5$
Thus, the real values of $x$ that are not in the domain of the function are $x = -4, 1, -5$. In interval notation, this can be written as: $(-\infty, -5) \cup (-5, -4) \cup (-4, 1) \cup (1, \infty)$

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Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

Time taken to cross the field will be 3.36 seconds.

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. There are four different types of speed. constant speed, varying speed, an average rate, instantaneous speed.

Solution,

Given,

speed=60 mph

length of football field=0.056 miles

time taken to cross it = distance/speed

time=0.056/60=0.00093 hour = 3.36 seconds.

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Plot the Graph with time on X-axis and Cost on Y-axis.

It costs 12$ for 8,10,12 hours.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables (as a series of one or more points, lines, line segments, curves, or regions). In other words, depending on what you are attempting to prove or establish, values may be represented on a Cartesian coordinate system in a variety of ways. Discrete data would be shown on the graph as single points, such as the average price of vehicles from year to year. Since the calculation is only performed once each year, the data is discrete. The y axis would show the average price of cars for each year, while the x axis would indicate each year.

Given;

5$ for first hour;

10$ for up to 2 hours;

12$ for entire day.

G(t) = 5$ up to first hour, 10$ for up to 2 hours and 12$ for more than 2 hours.(So G is a function of t)

So for 0 hours,\(\frac{1}{2}\) hours,1 hours it takes 5$;

and 10$ for 1\(\frac{3}{4}\)hours, 2 hours

and 12$ for 5h,8h,12h.

Plot the Graph with time on X-axis and Cost on Y-axis.

It costs 12$ for 8,10,12 hours.

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Answer:

a)

We know that:

There is a fixed cost of $7

for each mile, you need to pay $0.65

Then if you take the taxi for "m" miles, the total cost is:

c(m) = $0.65*m + $7

Now we know that Gavin also gives a $3 tip, so we need to add this to the cost:

c(m) = ($0.65*m + $7) + $3 = $0.65*m + $10

c(m) = $0.65*m + $10

Now we know that he paid a total of $62.65

Then:

c(m) = $62.65 =  $0.65*m + $10

This is the equation we need to solve in order to find m, the number of miles between Gavin's house and the airport.

b)

$62.65 =  $0.65*m + $10

We only need to isolate m, we will get:

$62.65 - $10 =   $0.65*m

$52.65/$0.65 =  m = 81

This means that there are 81 miles between the airport and Gavin's house.

Answer:

(0, 2) and (1, 3)

Given equation's:

Solve them simultaneously:

x + 2 = x^2 + 2

x^2 -x + 2 - 2 = 0

x^2 -x = 0

x(x - 1) = 0

x = 0, x = 1

Value of y's:

when x = 0, x + 2 = 0 + 2 = 2

when x = 1, x + 2 = 1 + 2 = 3

So, coordinates: (0, 2), (1, 3)

By equating the equation, we can determine that the x value is 13. Whatever the value of the variables, an identity holds.

Its precise nature is supposed to be the score's smallest equivalent fraction. How to obtain the basic definition. Looking for shared factors in the denominator and ratio. A fractional number can be checked to discover if it is a power of two. A statement having two rotational symmetry and an equal sign in the middle is called to as a mathematical equation. Every variable's degrees are listed in ranking in the standard form of any equation. The formula for a linear equation is x + b = 0. The conceptual model of a two-variable linear equation is an x + b y + c = 0. (or something similar). Either conditioned equations or identities are categories for equation. An identification holds true because of whatever value of the variables.

given

equation = x + 7 = 20

x = 20 - 7

x = 13

By equating the equation, we can determine that the x value is 13. Whatever the value of the variables, an identity holds.

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The complete question is :-

Solve for x .

x + 7 = 20

x = ?

The hypotheses of Theorem 2.4.2 are satisfied when the points lie on the ty-plane. Specifically, the points should be in the region bounded by the inequality |ty| <=1.

Theorem 2.4.2 is also known as the Mean Value Theorem. It states that if a function f is continuous on a closed interval [a, b] and differentiable on an open interval (a, b), then there exists a number c in the interval (a, b) such that f'(c) = (f(b) - f(a))/(b - a).

The hypotheses of the Mean Value Theorem are satisfied in the ty-plane at any point where the function is continuous and differentiable. This means that the function must have no breaks or sharp turns at that point. Additionally, the function must be defined at the endpoints of the interval [a, b] and must be differentiable on the open interval (a, b).

In the ty-plane, the hypotheses of the Mean Value Theorem are satisfied at any point that meets these conditions. For example, if the function f(t) = t^2 is graphed in the ty-plane, the hypotheses of the Mean Value Theorem are satisfied at any point on the curve because the function is continuous and differentiable at all points.

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The equations to find the areas would be:

A = W*(L - x)

A' = W*x

Where W is the width, L is the length, and x is defined by where she divides the rectangle.

So originally, we have a rectangle of length L and width W.

Let's assume that tina divides the length, by cutting "x" of the length to make one of the rectangles.

Then, we have two rectangles of width W, and one has a length of (L - x) and the other has a length of x. (A diagram of this can be seen below).

Then the area of these two rectangles will be:

A = W*(L - x)

A' = W*x

Now we want to see another way of dividing the rectangle, and well, we could also divide it along its width, and the calculations are exactly the same.

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