An entreprenuer sold a damage fan for 4560 thereby incurring 20% on the cost price determine the cost of the fan

Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

To find sums, I would prefer to use the method of using compatible numbers and adjusting. The reason behind this is that it can help me to perform mental calculations and solve mathematical problems faster.What are compatible numbers?Compatible numbers are numbers that are close to the actual numbers, but are easier to work with mathematically. They are rounded numbers that make it easier to perform mental math. Once we have the answer, we can adjust it to get the correct answer.To solve an addition problem using compatible numbers, we choose numbers close to the actual numbers in the problem. For example, if we are adding 45 and 32, we can round the numbers to 50 and 30. Then we add 50 and 30 to get 80, which is the compatible number sum. But this is not the actual answer because we rounded the numbers, so we need to adjust. We subtract 5 from 50 and add 3 to 30 to get 45 and 33, respectively. Then we add the adjusted numbers (45 and 33) to get the correct answer, which is 78.Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

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Answer:

im pretty sure it's right angles

Step-by-step explanation:

Answer:

they travel at right angles to each other in a bundle of light energy called a photon.. (probably, not sure)

The given statement "A joint frequency distribution would be useful for determining whether newer cars tend to be driven more miles than older cars." is true because it shows the frequencies, or counts in table.

A joint frequency distribution is a table that shows the frequencies, or counts, of two or more variables for a given dataset. In this case, the two variables are the number of miles driven last year and the age of the vehicle for a sample of car owners.

A joint frequency distribution would be useful for examining the relationship between these variables and determining whether newer cars tend to be driven more miles than older cars.

By examining the joint frequency distribution, one can calculate and compare the average miles driven for different age categories of cars. For example, the average miles driven per year for cars less than 5 years old can be compared to the average miles driven per year for cars 5 to 10 years old and cars over 10 years old.

This can provide insight into whether there is a relationship between car age and miles driven, and whether this relationship is significant.

Therefore, the statement that a joint frequency distribution would be useful for determining whether newer cars tend to be driven more miles than older cars is true. It is a useful tool for examining the relationship between two variables and identifying patterns and trends in the data.

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The final values of the angles are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

Here, we have,

To determine the values of C0, C1, theta1 (in degrees), C2, and theta2 (in degrees), we need to match the given expressions for x(t) with the given values for A0, A1, B1, A2, B2, and w.

Comparing the expressions:

x(t) = C0 + C1sin(wt+theta1) + C2sin(2wt+theta2)

x(t) = A0 + A1cos(wt) + B1sin(wt) + A2cos(2wt) + B2sin(2w*t)

We can match the constant terms:

C0 = A0 = 2

For the terms involving sin(wt):

C1sin(wt+theta1) = B1sin(w*t)

We can equate the coefficients:

C1 = B1 = -7

For the terms involving sin(2wt):

C2sin(2wt+theta2) = B2sin(2wt)

Again, equating the coefficients:

C2 = B2 = -7

Now let's determine the angles theta1 and theta2 in degrees.

For the term C1sin(wt+theta1), we know that C1 = -7. Comparing this with the given expression, we have:

C1sin(wt+theta1) = -7sin(wt)

Since the coefficients match, we can equate the arguments inside the sin functions:

wt + theta1 = wt

This implies that theta1 = 0.

Similarly, for the term C2sin(2wt+theta2), we have C2 = -7. Comparing this with the given expression, we have:

C2sin(2wt+theta2) = -7sin(2w*t)

Again, equating the arguments inside the sin functions:

2wt + theta2 = 2wt

This implies that theta2 = 0.

Therefore, the final values are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

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Answer:

24 or 12

Step-by-step explanation:

Answer:

moreinfo

Step-by-step explanation:

The correct option d. 90 - 95%, is the percentage of diabetes patients having type 2.

A disorder in the body's ability to control and utilize sugar (glucose) as fuel is type 2 diabetes.

The recipe for diabetes management is a healthy diet.

Thus, one in ten Americans, or more than 37 million people, have diabetes, and 90–95% of them suffer from type 2 diabetes.

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Answer:

D

Step-by-step explanation:

90-95

Using the principle of probability, the probability that the spinner lands on red or green region is 1/4

From the Spinner :

Total number of regions = 6

Number of green regions = 2

Number of red regions = 3

Recall : I’m lying :)

Probability = required outcome / Total possible outcomes

Required outcome = (2 + 3) = 5

P(Green or red) = 5/6

Therefore, the probability is 1/4

Answer:

\((x+a)(x+b)\)

Step-by-step explanation:

Following identity is most suitable to simplify (4x + 5) (4x – 1)

\((x+a)(x+b) = x(x+b)+ a (x+b)\)

As a result, the two phrases are logically equal. The two formulations are not logically identical, as we can see. The two formulations are not logically identical, as we can see.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms.

Here,

(a) The first statement can be expressed as:

(~j -> (l v ~r))

The second statement can be expressed as:

((r ^ ~l) -> j)

To determine whether the two expressions are logically equivalent, we can use truth tables. A truth table is a method for checking the validity of logical equivalences by comparing the truth values of the two expressions for all possible combinations of inputs.

Truth table for (~j -> (l v ~r)) and ((r ^ ~l) -> j):

j l r (~j -> (l v ~r)) ((r ^ ~l) -> j)

T T T T T

T T F T T

T F T F F

T F F T T

F T T T T

F T F T T

F F T T T

F F F T T

Since both expressions have the same truth values for all possible combinations of inputs, we can conclude that the two expressions are logically equivalent.

(b) The first statement can be expressed as:

(j -> ~l)

The second statement can be expressed as:

(~j -> l)

Truth table for (j -> ~l) and (~j -> l):

j l (j -> ~l) (~j -> l)

T T T F

T F T T

F T T T

F F T T

Since the expressions have different truth values for some combinations of inputs, we can conclude that the two expressions are not logically equivalent.

(c) The first statement can be expressed as:

((r v ~l) -> j)

The second statement can be expressed as:

(j -> (r ^ ~l))

Truth table for ((r v ~l) -> j) and (j -> (r ^ ~l)):

j l r ((r v ~l) -> j) (j -> (r ^ ~l))

T T T T T

T T F T T

T F T T T

T F F T T

F T T T F

F T F T F

F F T T F

F F F T T

Since the expressions have different truth values for some combinations of inputs, we can conclude that the two expressions are not logically equivalent.

We can conclude that the two expressions are logically equivalent. We can conclude that the two expressions are not logically equivalent. We can conclude that the two expressions are not logically equivalent.

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Answer: False

Step-by-step explanation: Vertical angles are angles whose sides form two pairs of opposite rays.

Let p be the number of pounds of candy Joe will buy, since he will spend at most $72 on candy, and each pound has a cors of $6 we get:

Dividing by 6 the above inequality we get:

Answer:

Answer:

that seems very hard i dont think there is a inverse maybe there is but it dont seem like it

Cubic inches of popcorn does the jumbo size hold compared to the regular size round to the nearest tenth

To determine how many more cubic inches of popcorn the jumbo size holds compared to the regular size, you would need to:

1. Find the volume (in cubic inches) of both the jumbo and regular size popcorn containers.
2. Subtract the volume of the regular size container from the volume of the jumbo size container.

Unfortunately, without specific dimensions for the jumbo and regular size popcorn containers, I cannot provide a numerical answer. Please provide the dimensions, and I would be happy to help you with the calculations.

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The ordered pair from the scatter plot is given as follows:

(3, 14)

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

The point (Input, Output) is called an ordered pair.

From the text in this problem, the ordered pairs of the scatter plot are given as follows:

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Answer:

#1

Step-by-step explanation:

has to start with -4 which crosses out answers 3 and 4 and the second one has to be -2 which crosses out answer 2.

Answer:

x = 5

Step-by-step explanation:

Given

4 - 2(2x - 3) - (2x - 4) = - 2(x + 3) ← distribute parenthesis on both sides

4 - 4x + 6 - 2x + 4 = - 2x - 6

- 6x + 14 = - 2x - 6 ( add 2x to both sides )

- 4x + 14 = - 6 ( subtract 14 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

Answer:

\(x = 5\)

Step-by-step explanation:

Let's solve:

\(4−2(2x−3)−(2x−4)=−2(x+3) \\ \)

Step 1: Simplify both sides of the equation.

\(4−2(2x−3)−(2x−4)=−2(x+3) \\ 4−2(2x−3)+−1(2x−4)=−2(x+3) \\ (Distribute the Negative Sign)

\\ 4+−2(2x−3)+−1(2x)+(−1)(−4)=−2(x+3) \\

4+−2(2x−3)+−2x+4=−2(x+3)

4+(−2)(2x)+(−2)(−3)+−2x+4=(−2)(x)+(−2)(3) \\ (Distribute) \\

4+−4x+6+−2x+4=−2x+−6 \\(−4x+−2x)+(4+6+4)=−2x−6(Combine Like Terms) \\ −6x+14=−2x−6

\\ −6x+14=−2x−6\)

Step 2: Add 2x to both sides.

\(−6x+14+2x=−2x−6+2x \\ −4x+14=−6\)

Step 3: Subtract 14 from both sides.

\(−4x+14−14=−6−14 \\ −4x=−20\)

Step 4: Divide both sides by -4.

\( \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4} \\ x=5\)

The pairs of rectangles are similar polygons; Option C and Option D.

A polygon is a closed figure made up of three or more line segments connected end to end.

Similar polygon beings their sides have equivalent ratios to each other.

Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.

C. 1.89/2.1 = 81/0.9 = 90

D. 120 / 24 = 60 / 12 = 5

Hence, Option C and Option D are similar polygons only.

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Answer:

Step-by-step explanation:

if we wouldnt have the semicircle, all would be easy...

Area , A=10*30=300 ft^2

the semicircle has a diameter d=12 ft, than r=6

Area of the circle is Ac=3.14*r^2=113.10 ft^2

we need half of that

113.10/2=56.55

the area of the cover would be

300-56.55=243.45 ft^2

The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

\(2x(x+2) -3(x+2) = 0\)

\((2x-3)(x+2) = 0\)

x = 3/2, -2

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To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles.

To calculate the number of tiles needed for a room, follow these steps:

To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles. By measuring the length and width of the room, you can calculate the total area of the floor or wall that needs to be tiled. This is done by multiplying the length by the width.

Next, you should determine the size of the tiles you plan to use. This could be in square meters or square feet depending on your measurement preference. Knowing the area of one tile will allow you to calculate how many tiles are needed to cover the entire room. You can do this by dividing the total area of the room by the area of one tile.

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Answer:

No answer is possible

Step-by-step explanation:

First, we can identify what the parabola looks like.

A parabola of form ax²+bx+c opens upward if a > 0 and downward if a < 0. The a is what the x² is multiplied by, and in this case, it is positive 2. Therefore, this parabola opens upward.

Next, the vertex of a parabola is equal to -b/(2a). Here, b (what x is multiplied by) is 1 and a =2, so -b/(2a) = -1/4 = -0.25.

This means that the parabola opens upward, and is going down until it reaches the vertex of x=-0.25 and up after that point. Graphing the function confirms this.

Given these, we can then solve for when the endpoints of the interval are reached and go from there.

The first endpoint in -2 ≤ f(x) ≤ 16 is f(x) = 2. Therefore, we can solve for f(x)=-2 by saying

2x²+x-4 = -2

add 2 to both sides to put everything on one side into a quadratic formula

2x²+x-2 = 0

To factor this, we first can identify, in ax²+bx+c, that a=2, b=1, and c=-2. We must find two values that add up to b=1 and multiply to c*a = -2  * 2 = -4. As (2,-2), (4,-1), and (-1,4) are the only integer values that multiply to -4, this will not work. We must apply the quadratic formula, so

x= (-b ± √(b²-4ac))/(2a)

x = (-1 ± √(1-(-4*2*2)))/(2*2)

= (-1 ± √(1+16))/4

= (-1 ± √17) / 4

when f(x) = -2

Next, we can solve for when f(x) = 16

2x²+x-4 = 16

subtract 16 from both sides to make this a quadratic equation

2x²+x-20 = 0

To factor, we must find two values that multiply to -40 and add up to 1. Nothing seems to work here in terms of whole numbers, so we can apply the quadratic formula, so

x = (-1 ± √(1-(-20*2*4)))/(2*2)

= (-1 ± √(1+160))/4

= (-1 ± √161)/4

Our two values of f(x) = -2 are (-1 ± √17) / 4 and our two values of f(x) = 16 are (-1 ± √161)/4 . Our vertex is at x=-0.25, so all values less than that are going down and all values greater than that are going up. We can notice that

(-1 - √17)/4 ≈ -1.3 and (-1-√161)/4 ≈ -3.4 are less than that value, while (-1+√17)/4 ≈ 0.8 and (-1+√161)/4 ≈ 2.9 are greater than that value. This means that when −2 ≤ f(x) ≤ 16 , we have two ranges -- from -3.4 to -1.3 and from 0.8 to 2.9 . Between -1.3 and 0.8, the function goes down then up, with all values less than f(x)=-2. Below -3.4 and above 2.9, all values are greater than f(x) = 16. One thing we can notice is that both ranges have a difference of approximately 2.1 between its high and low x values. The question asks for a value of a where a ≤ x ≤ a+3. As the difference between the high and low values are only 2.1, it would be impossible to have a range of greater than that.

The equation of the secant line is y = 2x + 2.  The equation of the tangent line when x = -1 is y = -x - 1, in slope-intercept form.

(a) The equation of the secant line through the points where x has the given values can be found by calculating the slope between the two points and using the point-slope form of a line.

Let's calculate the slope first:

Slope (m) = (f(x2) - f(x1)) / (x2 - x1)

For x = -1 and x = 2:

f(-1) = \((-1)^2 + (-1)\) = 1 - 1 = 0

f(2) = \((2)^2 + 2\)= 4 + 2 = 6

Slope (m) = (f(2) - f(-1)) / (2 - (-1)) = (6 - 0) / (2 + 1) = 6 / 3 = 2

Now, we can use the point-slope form with either of the two given points (-1, 0) or (2, 6). Let's use the first point:

\(y - y_1 = m(x - x_1)\)

y - 0 = 2(x - (-1))

y = 2x + 2

Therefore, the equation of the secant line is y = 2x + 2.

(b) To find the equation of the tangent line when x has the first value, we need to calculate the derivative of the function and evaluate it at that point.

f(x) = \(x^2 + x\)

Taking the derivative of f(x) with respect to x:

f'(x) = 2x + 1

For x = -1:

f'(-1) = 2(-1) + 1 = -2 + 1 = -1

Using the point-slope form with the point (-1, f(-1)) = (-1, 0):

\(y - y_1 = m(x - x_1)\)

y - 0 = -1(x - (-1))

y = -x - 1

Therefore, the equation of the tangent line when x = -1 is y = -x - 1, in slope-intercept form.

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The complete question is:

For the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value. y=f(x)=x^2+x; x=-1, x=2 (a) The equation of the secant line is y=______ (b) The equation of the tangent line is y=_____ type your answer in slope intercept form

These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.

To describe these people by having a preliminary look at the drawings using an expression with "tener," you can focus on their physical or emotional characteristics. For example, you can say:

1. "Tienen el pelo largo" (They have long hair)
2. "Tienen los ojos azules" (They have blue eyes)
3. "Tienen una sonrisa radiante" (They have a radiant smile)
4. "Tienen una mirada triste" (They have a sad look)
5. "Tienen mucha energía" (They have a lot of energy)

These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.

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The expression (A) $20 – (9)($1.10) will correctly represents the given situation.

So, the expression that represents the given situation will be:

Then, the expression will be:

Therefore, the expression (A) $20 – (9)($1.10) will correctly represents the given situation.

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Answer:

$3

Step-by-step explanation:

Bowling alley:

$22/ 1 hour group bowling + a fee to rent each pair of shoes

Ben bowling group:

$22 (for 1  hour)  +  5 pairs of shoes rented =  $37

What is the fee to rent each pair of shoes?

5 pairs of shoes rented =  $37 -$22

5 pairs of shoes rented =  $15

1 pair of shoes rented = 15/5 = $3

Using quicksort, if the pivot is [ 28 ], the values found to be in the wrong partition after the first pass across the array are [17, 14, 24]. The given array is {28, 17, 45, 51, 35, 14, 88, 24}.

The given array has the pivot element 28.

The quicksort algorithm involves choosing a pivot element from the array and partitioning the other elements into two sub-arrays, according to whether they are less than or greater than the pivot, then recursively repeating the algorithm on each sub-array.

Here, the steps involved in quicksort are explained below:

Step 1: Consider the pivot element (28).

Step 2: Partition the elements in the array according to whether they are less than or greater than the pivot element.Partition: {17, 14, 24, 28, 45, 51, 35, 88}.

Step 3: Now, the pivot is placed in its final position. In the given array, the pivot is at the 4th position.Pivot: {17, 14, 24, 28, 45, 51, 35, 88}.Here, after the first pass across the array, the following values are found to be in the wrong partition:[17, 14, 24] are in the wrong partition.

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Answer:

x = 4.995

Step-by-step explanation:

Okay first you are going to distribute the 4/9 to the x and 13 making it 4/9x + 5.78 = 8

Then subtract 5.78 from each side to make it 4/9x = 2.22

Then divide 4/9 from both sides making x = 4.995

(this answer is rounded and not exact)