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Initial value is the y-intercept so x = 0. Then b⁰ = 1 because x⁰ = 1 if x ≠ 0. So the value of function is a * 1 which is equal to a.

Step-by-step explanation: The initial value of any function of the form f(x)= a(b) is equal to a because this type of function is a linear equation, which means that the rate of change (slope) is constant. This means that the output is always equal to the input multiplied by a constant, which is the coefficient a. Therefore, when the input (x) is equal to 0, the output (f(x)) is equal to 0 multiplied by a, which is equal to a.

The amount of money that the business will receipt is $44.

given:

Small business makes bottles of lemonade today they have 528 oz of lemonade to the bottle each bottle holds 24 oz of lemonade they sell each bottle for $2 how much money will the business receipt

From the above question:

24oz of Lemonade = 1 bottle

528 oz of Lemonade = x

Cross Multiply

24 × x = 528

x = 528/24

x = 22 bottles

We are told that: they sell each bottle for $2

Hence:

1 bottle = $2

22 bottles = y

Cross Multiply

y = 22 × $2

y = $44

Therefore, the amount of money that the business will receipt = $44

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Answer: 12 cups of applesauce

Step-by-step explanation:

Answer:

is not 37.5

it's 25

Step-by-step explanation:

25+25+15+115=180

50+130=180

180=180

Answer:

25°

Step-by-step explanation:

25 + x + 15 = 3x – 10 ( Sum of two opposite interior angles is equal to the exterior angle)

40 + x = 3x - 10

40 + 10 = 3x - x

50 = 2x

[tex]x = \frac{50}{2} [/tex]

x = 25°

An example of x-intercept is (3,0).

Here x=3 is the x-intercept in this line.

By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.

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Answer:

x = 2,187

Step-by-step explanation:

27×27×27+27×27×27+27×27×27 =27x

19,683+19,683+19,683 =27x

59,049 = 27x

divide both sides by the coefficient of x ( 27 )

59,049 / 27 = 27x / 27

x = 2,187

Answer:

multiply the original price ($299) by the first markup percentage (150%)

299*1.50= $448.50

that is markup price!

then you have to do the sale % (25%)

so you'll multiply your (25%) by your new price ($448.50)

448.50*.25= $112. 125

then you will subtract the sale price ($112.125) by the upcharged price ($448.50)

448.50-112.125= 336. 375

= $336. 38(round off)

The function that describes the depth of the soil is h(x) = -(1/2)x + 8.

Where x is the number of bags of soil.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Depth of the soil = 8 inches

One bag of soil increases by 1/2 of an inch.

Now,

The function denotes the depth of the soil.

h(x) = -(1/2)x + 8

Where x is the number of bags of soil

Thus,

The function is h(x) = -(1/2)x + 8.

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Answer:

A

Step-by-step explanation:

[tex]-2<-1 \frac{5}{8}<-1[/tex], and A is the only point between -2 and -1.

Answer: i believe your answer would be C.

Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.

There are five different types of Time complexity analysis:

The computational complexity that describes the amount of computer time required to run an algorithm is known as time complexity in computer science. The time complexity of an algorithm is commonly estimated by counting the number of elementary operations performed by the algorithm, assuming that each elementary operation takes a fixed amount of time to perform.

As a result, the time required and the number of elementary operations performed by the algorithm are assumed to be proportional. Because the running time of an algorithm varies among different inputs of the same size, the worst-case time complexity, which is the maximum amount of time required for inputs of a given size, is commonly considered.

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bring the variable to the left side and bring all the remaining values to the right side.

Image search results for Write the inequality and solve it. -17 -14 ■ -21 -2 -9 -15

To fix an inequality, use these steps:

Step 1: Remove fractions by multiplying all terms by the fractions’ least common denominator.

Step 2 Simplify the inequality by merging like words on either side.

Step 3 Subtract or add amounts to get the unknown on one side and the digits on the other.

In algebra, the letter “x” is frequently used to represent an unknown value. It is referred to as a “variable” or “unknown” at times. X is a variable in x + 2 = 7, but we can deal with it.

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The triangular park has three angles: 60°, at its base, 55° at its top, and 65° at its base.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

As part of a civic beautification initiative, residents in a downtown neighbourhood created a park with a triangle shape.

Let's say that the initial angle is x°.

Accordingly, the second angle is (x + 5)° and the third angle is (5x - 5)° from the information provided.

The inner angles of a triangle are known to add up to 180 degrees.

∴ x + (x + 5) + (x - 5) = 180°

3x = 180°

x = 180°/3

x =60 °.

Hence, the triangular park has three angles: The triangular park has three angles: 60°, at its base, 55° at its top, and 65° at its base.

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Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both.

For a square whose side are 2 units long is :

= 2 + 2 x 2 + 2

= ( 2 + 2 ) x 2

= 2 x 4

= 2 x 3 + 2 = 8

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The answer is no, we would not be surprised if the sample mean housebroken age for the small breed dogs is at least 3 months more than the sample mean housebroken age for the large breed dogs, as the probability of this happening is very small, 2.28%.

    z = (3-2) / 0.5 = 2

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An inequality that represents the number of signatures Ali needs to collect in each of the remaining weeks so that he will have enough signatures to submit the petition: 520 + 6m ≥ 1000

and the minimum number of signatures he needs to collect = 80

Given that Ali wants to collect the same number of signatures each week.

Assume that Ali collects m number of signatures each week.

He has 6 weeks to collect the remaining signatures he needs.

So, by unitary method in 6 weeks the number of signatures he would collect:

6 × m

He currently has 520 signatures and he needs a total of at least 1,000 signatures before he can submit the petition.

so, we get an inequality.

520 + 6m ≥ 1000

We solve above inequality.

6m ≥ 1000 - 520

m ≥ 480/6

m ≥ 80

Ali needs to collect at least 80 signatures, so that he will have enough signatures to submit the petition.

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The school is 24.63 meters tall.

To calculate the height of the school, Elijah can use the concept of similar triangles. Since the mirror is on the ground and parallel to it, the angle between the ground and the line from his eyes to the mirror is 90 degrees. The angle between the ground and the line from his eyes to the top of the school is also 90 degrees. The triangle formed by these lines and the line from his eyes to the top of the school is similar to the triangle formed by these lines and the line from his eyes to the mirror.

Using the similar triangles, the ratio of the height of the school to the distance from Elijah's eyes to the mirror is equal to the ratio of the distance from Elijah's eyes to the ground to the distance from the mirror to the school.

Therefore

(Height of school) / (Distance from eyes to mirror) = (Distance from eyes to ground) / (Distance from mirror to school)

Plug in the given values:

(Height of school) / 0.8 = 1.45 / (8.25 - 0.8)

Solving for the height of the school:

Height of school = (0.8 * 1.45) / (8.25 - 0.8)

= 1.16 / 7.45

= 0.1562

= 24.63 meters

The school is 24.63 meters tall.

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The graph of the line y = 4x + 3 is shown below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 4x + 3

When x = 0, y = 3

When x = 1, y = 4 + 3 = 7

When x = 2, y = 11

Similarly for negative x values, we get,

x = -1, y = -4 + 3 = -1

x = -2, y = -8 + 3 = -5

So on......

So we must get the following coordinates:

(-1, -1), (-2, -5), (0, 3), (1, 7), (2, 11),, ........

Thus,

The graph is shown below.

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The distance traveled after 2 hours will be 324 miles.

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

The table shows the average speed of the winner of a car race for different

years.

year      average speed

2005     135.17

2010      137.28

2015      161.94

2020     141.11

In order to find out how many miles the winner of the car race in 2015 traveled after 2 hours, we need to know the average speed at which they were traveling, which is given as 161.94 miles per hour. To find out how far they traveled in 2 hours, we can multiply this speed by the time, measured in hours.

So, if the average speed was 161.94 miles per hour, then the distance traveled in 2 hours is:

161.94 miles/hour × 2 hours = 323.88 miles.

Rounding up to the nearest whole number, the distance traveled after 2 hours is 324 miles.

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The question seems to be incomplete the missing table has been attached below

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{3 +4}{4 +2} \implies {\large \begin{array}{llll} \cfrac{7 }{ 6 } \end{array}}[/tex]

If Alice tests positive and the experts are right on the population prevalence, the probability that Alice has the disease is 0.489.

In the given question, a new disease has been observed, and experts believe that 1% of the population have it.

A test is developed that has 95% true positive rate and 1% false positive rate.

From the given data,

Let E be the event that a patient has a disease and F be the event that a patient has tested positive.

Then according to Bayes' theorem we have,

P(E/F) = P(E)P(E/F)}/(P(E)P(E/F)+P(E')P(F/E')

P(E/F) = (1*95)/(1*95)*(99*1)

P(E/F) = 95/194

P(E/F) = 0.489 (approx.)

Hence, the probability that Alice has the disease 0.489.

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The price that maximize the profit is $10 or $22.

What is maximum profit?

In economics, profit maximization is the short run or long run process by which a firm may determine the price, input and output levels that will lead to the highest possible total profit.

Given:

f(p) = -50p^2 + 1600p - 11000

Now to find velocity point

[tex]-\frac{b}{2a} = \frac{-1600}{2(-50)} = \frac{1600}{100} = 16[/tex]

So for the price p = 16 that generates maximum profit.

Now

f(16) = -50(16)^2 + 1600(16) - 11000 = 1800

The maximum profit is 1800.

At breakeven, f(p) = 0

So,

[tex]-50p^2 + 1600p - 11000 = 0\\p = \frac{-1600 + -\sqrt{(1600)^2 - 4(-50)(-11000)} }{2(-50)} \\p = \frac{-1600 + - \sqrt{2560000 - 2200000} }{-100} \\p = \frac{-1600+-\sqrt{360000} }{-100} \\p = \frac{-1600+-600}{100}\\ p = 10, 22[/tex]

So p = $10   or  p = $22

Hence, the price that maximize the profit is $10 or $22.

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Answer:

Step-by-step explanation:

I dont understand the question.

If a value of y relates only to one value of x, then the function does have an inverse function.

A relation between such a collection of inputs and outputs is known as a function.

Thus, if a value of y relates only to one value of x, then the function does have an inverse function.

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The degree of the given polynomial is 2 because the highest exponent is 2 present in terms 2x^2 or 5y^2.

First, try to understand what is polynomial.

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x^2+ 3x - 5 is an illustration of a polynomial with a single variable. There are three terms in this example: x^2, 3x, and -5.

The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases."

Now let's talk about the degree of the polynomial.

The highest exponent of a monomial contained within a polynomial is referred to as the polynomial's degree. As a result, a polynomial equation with one variable having the biggest exponent is referred to as a polynomial degree.

The terms of a given polynomial is 2x^2, 3xy, 5y^2, and 2 Highest exponent is 2 in 2x^2 or 5y^2.

So the degree of the polynomial is 2.

The given Question is an incomplete complete question here.

[tex]2x^2 + 3xy + 5y^2 +2[/tex].

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The population standard deviation of the data is 111.

1. Find the mean of the data:

Mean = (314 + 158 + 482 + 284 + 310 + 281) / 6 = 1029 / 6 = 171.5

2. Find the difference between each data point and the mean:

Feb: (314 - 171.5) = 142.5

Mar: (158 - 171.5) = -13.5

Apr: (482 - 171.5) = 310.5

May: (284 - 171.5) = 112.5

Jun: (310 - 171.5) = 138.5

Jul: (281 - 171.5) = 109.5

3. Square each of the differences:

Feb: (142.5)^2 = 20,312.5

Mar: (-13.5)^2 = 182.25

Apr: (310.5)^2 = 95,822.25

May: (112.5)^2 = 12,656.25

Jun: (138.5)^2 = 19,082.25

Jul: (109.5)^2 = 11,982.25

4. Sum all of the squared differences:

20,312.5 + 182.25 + 95,822.25 + 12,656.25 + 19,082.25 + 11,982.25 = 149,047.5

5. Divide the sum of the squared differences by the number of data points minus one:

149,047.5 / (6 - 1) = 149,047.5 / 5 = 29,809.5

Square root of 29,809.5 = 111 (rounded to the nearest integer)

Therefore, the population standard deviation of the data is 111.

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Slope of the line AB is 7/6.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the given graph the coordinates of A are (4, 3) and B is (-2, -4)

Slope AB=-4-3/-2-4

=-7/-6

Slope=7/6

Hence, slope of the line AB is 7/6.

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Answer:

C.

Step-by-step explanation:

To find the equation of the line that goes through the points (5, 3) and (-1, 2), we can use the point-slope form of a linear equation. The point-slope form is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line.

To find the slope of the line, we can use the following formula:

m = (y2 - y1)/(x2 - x1)

Plugging in the coordinates of the two points, we get:

m = (2 - 3)/(-1 - 5) = -1/6

Substituting this value of m and the coordinates of one of the points into the point-slope form, we get:

y - 3 = -1/6(x - 5)

This simplifies to:

6x + y - 13 = 0

Therefore, the equation of the line is:

6x + y - 13 = 0

Answer: The greatest of the three is 10.

Step-by-step explanation:

27/3=9 so the numbers will be around nine.

8+9+10=27

Answer:

Let x represent the value of the smallest of the three consecutive integers.

Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.

Since the sum of the three integers is 27, we have:

x + (x+1) + (x+2) = 27

Combining like terms, we have:

3x + 3 = 27

Subtracting 3 from both sides, we have:

3x = 24

Dividing both sides by 3, we have:

x = 8

Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.

Thus, the value of the greatest integer is 10.

Step-by-step explanation:

Answer:

5% of 120 is 6, so you would add that 6 to 120.

120 + 6 = 126.

The total cost will sales tax would be $126.00.

Step-by-step explanation:

Hope it helps! =D