$-3\left|x\right|+2x-1\:if\:x\:=\:-5$

The description best fits the distribution of the data shown in the histogram is option D which is approximately Bell shaped .

What is bell shaped histogram ?

A bell-shaped histogram is a type of histogram that displays data that is normally distributed, also known as a Gaussian distribution. It is a common way to visually represent data that follows this particular pattern.

In a bell-shaped histogram, the x-axis represents the range of values being measured, while the y-axis represents the frequency or number of occurrences of each value. The histogram is named after its characteristic shape, which resembles a bell curve with a symmetrical peak in the middle and gradually tapering off on either side.

The bell-shaped histogram is useful because it provides a visual representation of the distribution of data, allowing us to see how the data is clustered around the mean or average value. It also allows us to identify outliers or values that fall outside of the typical range of values.

Bell-shaped histograms are commonly used in many fields, including statistics, finance, and scientific research. They can be used to analyze data from experiments, surveys, and other sources, and can help researchers make predictions about future outcomes based on past data.

Overall, a bell-shaped histogram is a powerful tool for understanding and interpreting data that is normally distributed, and can provide valuable insights into patterns and trends that might not be immediately apparent from raw data alone.

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The electric company would need a wire that is approximately 4.58 meters long to reach the top of the 5-meter electric pole from a point on the ground 2 meters from the base of the pole.

What is Meter?

The meter was originally defined as one ten-millionth of the distance from the equator to the North Pole along a meridian through Paris, but this definition was later replaced by the current definition based on the speed of light.

To determine the length of the wire required to reach the top of a 5-meter electric pole from a point on the ground 2 meters from the base of the pole, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the pole, the ground, and the wire form a right triangle, where the pole is the hypotenuse, the distance from the base of the pole to the point on the ground is one of the legs, and the length of the wire needed to reach the top of the pole is the other leg.

Therefore, we can use the Pythagorean theorem to solve for the length of the wire as follows:

wire length = sqrt([tex]pole height^{2}[/tex] - [tex]distance from base^{2}[/tex])

= sqrt([tex]5^{2}[/tex] - [tex]2^{2}[/tex])

= sqrt(25 - 4)

= sqrt(21)

≈ 4.58 meters

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Answer:

To find the horizontal distance the football travels, we need to find the maximum value of the quadratic function y = -16x^2 + 85x, which occurs at the vertex of the parabola.

The x-coordinate of the vertex is given by -b/2a, where a = -16 and b = 85:

x = -b/2a = -85/(2*(-16)) = 2.66

So the football travels a horizontal distance of approximately 2.66 feet when kicked.

To check that this is the maximum distance, we can find the value of y at x = 2.66:

y = -16(2.66)^2 + 85(2.66) = 113.56

So the maximum height reached by the football is approximately 113.56 feet.

Therefore, Dario kicks the football a horizontal distance of approximately 2.66 feet.

Answer: 1.624 gallons

Step-by-step explanation:

It takes 8.12 gallons to paint the full fence. You only need 1/5 of that. You can turn 1/5 into a decimal if it helps. In this case, that would be 0.2

8.12 x 0.2 = 1.624

The volume of the cylinder is approximately 92.7 cubic inches. Changing the radius of the cylinder while keeping the height constant will have a significant effect on the volume of the cylinder.

The quantity of space a three-dimensional item occupies is measured by its volume. Usually, it is expressed in cubic units like cubic metres or cubic feet.

a. The formula for the volume of a cylinder is:

V = πr²h

where V is the volume, r is the radius, and h is the height.

Plugging in the given values, we get:

V = π(2.3)²(5.5)

≈ 92.74 cubic inches

Rounding to the nearest tenth, we get:

V ≈ 92.7 cubic inches

Therefore, the volume of the cylinder is approximately 92.7 cubic inches.

b. If the radius of the cylinder is changed, but the height remains the same, the volume of the cylinder will change. The formula for the volume of a cylinder shows that the volume is directly proportional to the square of the radius. This means that if the radius is doubled, the volume will be four times greater. If the radius is halved, the volume will be one-fourth as great.

For example, if we double the radius from 2.3 inches to 4.6 inches, the new volume will be:

V' = π(4.6)²(5.5)

≈ 409.56 cubic inches

This is approximately four times the original volume of 92.7 cubic inches.

On the other hand, if we halve the radius from 2.3 inches to 1.15 inches, the new volume will be:

V'' = π(1.15)²(5.5)

≈ 20.55 cubic inches

This is approximately one-fourth the original volume of 92.7 cubic inches.

Therefore, changing the radius of the cylinder while keeping the height constant will have a significant effect on the volume of the cylinder.

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The simplified form of the fraction is A = ( 5q - 20 ) / ( 5q - 6 )

Given data ,

Let the fraction be represented as A

Now , the value of A is

A = ( 10q - 40 ) / ( 10q - 12 )

On simplifying , we get

Divide by 2 on both the numerator and denominator of the fraction , we get

A = ( 5q - 20 ) / ( 5q - 6 )

Hence , the fraction is A = ( 5q - 20 ) / ( 5q - 6 )

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Answer:1

just like my answer dawg

Step-by-step explanation:

Using one of circle theorems, the value of x in the given circle is 2

From the question, we are to determine the value of x in the given diagram

In the diagram, we have a circle that shows an arc measure of 186°.

From one of circle theorems, we have that

The angle subtended by an arc at the center of the circle is twice the angle subtended at the circumference.

From this, we can write that

186° = 2(36x + 21)

Solve the equation for x

186° = 2(36x + 21)

Divide both side by 2

186/2 = 2(36x + 21) / 2

93 = (36x + 21)

93 = 36x + 21

Subtract 21 from both sides

93 - 21 = 36x

72 = 36x

Divide both sides by 36

72 / 36 = 36x / 36

2 = x

Hence,

The value of x is 2

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Answer:

The volume of the spray can is given by the formula for the volume of a cylinder:

V = πr^2h

where r is the radius of the base (which is half the diameter), and h is the height.

The diameter of the spray can is 7 inches, so the radius is 7/2 = 3.5 inches.

The height of the spray can is 8 inches.

Substituting these values into the formula, we get:

V = π(3.5)^2(8)

V = π(12.25)(8)

V = 98π

Therefore, the volume of the spray can is 98π cubic inches.

give me thanks and rate 5* po~ if this helps u! your welcome!

To graph the line with a slope of -4 and a y-intercept of 8, you can start by plotting the y-intercept point on the y-axis, which is (0, 8). Then, use the slope to find additional points on the line. Since the slope is -4, you can move down 4 units and to the right 1 unit to find another point on the line. Plot this point and draw a straight line through both points to complete the graph. The resulting line will be a straight line that slopes downward to the right and passes through the points (0, 8) and (1, 4).

Answer:

Match the polynomial to it's correct name.

1. Quadratic trinomial – a. ƒ(x) = 3x² - 5x + 7

2. Quartic trinomial – b. ƒ(x) = x⁴ - 3x³ + 9x²

3. Cubic monomial – c. h(x) = 15x + 2

4. Linear binomial – d. g(x) = -5x³

[tex]\begin{gathered}\end{gathered}[/tex]

Match the polynomial to it's correct name.

1. Quadratic trinomial – a. ƒ(x) = 3x² - 5x + 7

2. Quartic trinomial – b. ƒ(x) = x⁴ - 3x³ + 9x²

3. Cubic monomial – d. g(x) = -5x³

4. Linear binomial – c. h(x) = 15x + 2

Answer:

Option A (1040 x 246)

Step-by-step explanation:

To see if there is a remainder, we can multiply the quotient and the divisor and subtract it from the dividend. If there is no remainder, the result will be zero. If there is a remainder, the result will be a non-zero number.In this case, we have:

1040 x 246 = 255,840

When we subtract this from the dividend, we get:

256,000 - 255,840 = 160

Since the result is not zero, we can conclude that there is a remainder of 160 when 256,000 is divided by 246.

Using mathematical operations involving unit conversions, the greatest number of 16-inch pieces of wood the carpenter can cut from 8 boards is 54.

The four basic mathematical operations are multiplication, division, subtraction, and addition.

In this situation, the units are converted from feet to inches using multiplication, before the greatest number of pieces are determined using division.

The quantity of boards the carpenter wants to cut = 8 boards

The length of each board = 9 feet

The total quantity of the boards in feet = 72 feet (8 x 9)

12 inches = 1 foot

72 feet = 864 inches (72 x 12)

The length of each piece of wood = 16 inches

The greatest number of 16-inch pieces of wood = 54 pieces (864 ÷ 16)

Thus, we can conclude that the carpenter will get 54 pieces of 16-inch wood from the 8 boards of 9 feet each in length.

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Answer:

Step-by-step explanation:

a. Let's first calculate Fatima's balance after the withdrawal.

Starting balance = $207

Withdrawal amount = $120

Balance after withdrawal = $207 - $120 = $87

Now, we need to consider the monthly fee of $7.25 that is charged if the balance is below $100. If the balance is at or above $100, there is no fee.

Let Y be the balance in dollars and X be the number of months since the withdrawal. Then the equation that models Fatima's balance after X months is:

Y = 87 - 7.25X if 0 <= Y < 100

Y = 87 if Y >= 100

Note that the balance can never be negative in this case, so we only need to consider the case when the balance is below $100.

b. To solve for Y when X=4, we plug in X=4 into the equation we derived in part (a):

Y = 87 - 7.25X

Y = 87 - 7.25(4)

Y = 87 - 29

Y = 58

So after 4 months since the withdrawal, Fatima's balance will be $58.

c. We want to find when the balance reaches $0 or below. We can use the equation we derived in part (a) and set Y to 0:

0 = 87 - 7.25X

Solving for X, we get:

X = 87/7.25

X ≈ 12

So after 12 months since the withdrawal, Fatima's balance will reach $0.

Answer:

a. y=87-7.25x

b. y= 58, amount of money she will have in four months

c. 12 months

Step-by-step explanation:

So First, since she removed 120 dollars from her 207, we need to minus 120 from 207

207-120=87

So she has 87 dollars in her account, which means that she needs is going to get charged 7.25 a month. If x equals the amount of months, and y equals the total amount of money in her bank account, that means that every month she will get another 7.25 taken away from her bank account. We can write that equation like this:

y=87-7.25x

The Next problem is to solve for how much money she has after four months. We simply just plug in the number for x like so:

y=87-7.25(4)

And solve

y=87-7.25(4)

        -7.25*4=-29

y=87-29

   87-29=58

y=58

So she will have 58 dollars left in her bank account, because y equals the amount in her bank account.

The next problem asks when Fatima's bank account will be 0 or below, so plug in zero for y

y=0

0=87-7.25x

Then solve

0=87-7.25x

-87 -87

-87=-7.25x

/-7.25  /-7.25

12=x

In twelve months she will have zero dollars in her bank account, since x represents months.

Answer:

Step-by-step explanation:

To calculate the area of a parallelogram, you need to know the length of the base and the height of the parallelogram.

The formula for the area of a parallelogram is:

Area = base x height

where the base is any side of the parallelogram and the height is the perpendicular distance between that side and the opposite side.

For example, if you have a parallelogram with a base of 8 meters and a height of 5 meters, you can calculate its area as:

Area = 8 meters x 5 meters = 40 square meters

So, the area of the parallelogram is 40 square meters.

The sum of 1/5 + 2 1/3 = 38/15 is an improper fraction.

To add fractions, convert the mixed numbers to improper fractions. Find a common denominator for the fractions and make the denominators the same. Now add or subtract the fractions. Simplify the resulting fraction if necessary.

Here we have

1/5 + 2 1/3 =

To add 1/5 and 2 1/3, convert 2 1/3 to an improper fraction:

=> 2 1/3 = 7/3   [ (3 × 2) + 1 = 7 ]

Now, find a common denominator between 5 and 3, which is 15.

1/5 = 1/5 × 3/3 = 3/15

7/3 = 7/3 × 5/5 = 35/15

Now we can add:

3/15 + 35/15 = 38/15

Therefore,

The sum of 1/5 + 2 1/3 = 38/15 is an improper fraction.

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To calculate the monthly deposit needed to purchase a house worth $170,000 in 10 years with a 6% annual interest rate compounded monthly, we can use the formula for future value of an annuity:

FV = PMT x [[tex](1 + r/n)^{nt}[/tex] - 1] / (r/n)

where FV is the future value, PMT is the monthly deposit, r is the annual interest rate (as a decimal), n is the number of compounding periods per year, and t is the number of years.

In this case, we have FV = $170,000, r = 0.06, n = 12 (since interest is compounded monthly), and t = 10. We want to solve for PMT.

Plugging in the values, we get:

$170,000 = PMT x [[tex](1 + 0.06/12)^{(12×10)}[/tex] - 1] / (0.06/12)

Simplifying the right-hand side of the equation, we get:

PMT = $170,000 / [[tex](1 + 0.06/12)^{(12×10) }[/tex]- 1] / (0.06/12)

PMT ≈ $905.60

Therefore, Rosalie and Jayden would need to deposit approximately $905.60 each month in order to save enough to purchase the house with cash in 10 years, assuming a 6% annual interest rate compounded monthly.

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The value of 'x' for given problem is 81 degrees.

The intersection of two lines produces vertical angles, which are pairs of angles. Consistently having the same measure, they are congruent. A pair of vertical angles is a pair of non-adjacent, opposing angles that have the same vertex but different sides.

In given Problem, we have two vertical angles:

one measures (x + 3) degrees and

other measures 84 degrees.

As a result of the congruence of vertical angles, we may construct an equation to get the value of x. 84 degrees and (x + 3) degrees are both vertical angles, hence they must be equal to one another:

x + 3 = 84

To solve for x, we can subtract 3 from both sides of the equation:

x + 3 - 3 = 84 - 3

x = 81

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Correct Question: (x+3) degrees and 84 degrees are pair of vertical angles.Find x?

Answer:

a) since 27% below the target pressure value =target pressure

Step-by-step explanation:

The linear equation that describes this situation is:

y = 2500 + 300*x

A general linear equation is written as:

y = ax + b

where a is the slope and b is the initial value.

Here we know that she starts with 2,500 points in the game, and then she wins 300 points for every minute.

Then the initial value is 2,500, and the slope is 300, then we can write the linear equation:

y = 2500 + 300*x

That is the correct option.

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Answer:

15cm

Step-by-step explanation:

in an isosceles triangle two sides are equal so represent the two sides as p also those two sides are the longer sides and the perimeter equals to 36 that is the sum of the three sides equals to 36 , so our equation will now be : p+p+6=36 ,. 2p+6=36. ,2p=36-6. 2p=30. divide both side by 2 so p =15 so each longer sides measure 15cm

The value for each greatest integer function is:

[55.9] = 55

[55.001] = 55

[0.65] = 0

[-34.11] = -35

[16(3/14)] = [227/14] = [16.214] = 16

[-8.21] = -9

[19] = 19

[-0.45] = -1

[-8(1/2)] =[-8.05] = -9

[2/3] = [0.67] = 0

We have,

The greatest integer function, denoted as [x] gives the largest integer that is less than or equal to x.

So,

We can create the inequalities as:

55 ≤ 55.9 ≤ 56

[55.9] = 55

55 ≤ 55.001 ≤ 56

[55.001] = 55

0 ≤ 0.65 ≤ 1

[0.65] = 0

-35 ≤ -34.11 ≤ -33

[-34.11] = -35

16 ≤ 16.214 ≤ 17

[16(3/14)] = [227/14] = [16.214] = 16

Similarly,

[-8.21] = -9

[19] = 19

[-0.45] = -1

[-8(1/2)] =[-8.05] = -9

[2/3] = [0.67] = 0

Thus,

The value for each greatest integer function is given above.

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a)Angle are m∠1=70°

b)m∠2=70°

c)m∠3=20°

d)m∠4=20°

e)m∠5= 110°

Alternate angles are a pair of angles formed by two parallel lines and a transversal intersecting them. Alternate angles are congruent, which means that they have the same measure or size.

Given: line AX parallel to line DY

m∠1=70° (co-interior angle)

∠BED=180-40-70=70° ( sum of angle of triangle 180)

m∠2=70° ( vertically opposite angle)

∠2=50°+∠3(alternate angle)

m∠3=70°-50°=20°

∠2+∠5=180(sum of angle on straight line is 180°)

m∠5=180-70=110°

∠5+∠4+50°=180(sum of angles of triangle is 180°)

∠4=180-50-110=20°

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The y-intercept of the function f(x) = - 0.5x² + x + 2 is 2.

The y-intercept is the point where a graph crosses the y-axis. In other words, the y-intercept of a function is the value of y when x = 0.

Therefore,

f(x) = - 0.5x² + x + 2

Hence, let's make x = 0 as follows:

f(x) = - 0.5x² + x + 2

f(0) = - 0.5(0)² + (0) + 2

hence,

f(0) = 2

Therefore, the y-intercept of the function is 2.

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We have shown that if two lines are parallel, then they have the same slope.

A shape is translated when it is moved up, down, left or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

We can prove that parallel lines have the same slope by using the fact that the distance between corresponding points of a figure and its translated image is the same at every point.

Suppose we have two parallel lines, line A and line B, with slopes m₁ and m₂, respectively. Let P be any point on line A, and let Q be the corresponding point on line B such that P and Q are equidistant from the line of intersection of A and B.

Now let us translate line A to a new line A', such that P is mapped to Q. Since the distance between corresponding points of A and A' is the same at every point, we know that the distance between P and the line of intersection of A and B is equal to the distance between Q and the line of intersection of A' and B.

Since A' and B are still parallel, the distance between Q and the line of intersection of A' and B is equal to the distance between any point on line B and the line of intersection of A' and B.

Therefore, the distance between P and the line of intersection of A and B is equal to the distance between any point on line B and the line of intersection of A' and B. This means that the slope of line B, m₂, must be equal to the slope of line A', which is also equal to m₁.

Hence, we have shown that if two lines are parallel, then they have the same slope.

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The complete question is:

A line and its translated image are parallel because the distance between corresponding points of a figure and its translated image is the same at every point. How could you use that information to show that parallel lines have the same slope?

Answer:

y[tex]\leq[/tex]-2x + 6

y[tex]\leq[/tex][tex]\frac{5}{2}[/tex] x + [tex]\frac{1}{2}[/tex]

y [tex]\geq[/tex][tex]\frac{-2}{3}[/tex]x + [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Put each equation in the slope intercept form of the in line and then look to see if the graph is above or below the line graphed.  Above the line would be greater than and below the line would be less than.

Helping in the name of Jesus.

Answer:  D is the answer. trust me.

Step-by-step explanation:

The problem that could be solved using the equation 10x+5=35 is option D: After a $5 discount, an order of 10 items cost $35. How much did each item cost?

To solve this problem, we can use the equation 10x + 5 = 35, where x represents the cost of each item. The $5 discount reduces the total cost of the 10 items by $5, so the total cost of the 10 items before the discount would be 10x. Therefore, we can set up the equation:

10x + 5 = 35

Subtracting 5 from both sides, we get:

10x = 30

Dividing both sides by 10, we get:

x = 3

So, each item cost $3 before the discount.

Answer:

A

Step-by-step explanation:

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

The solution for the system of equations is the one in option B   (2,5)

Here we have the equations:

y=2x+1

y=-x+7

A point is a solution if it solves both of the equations, then we need to replace all the points in the equations and see if they are true.

The póint that is a solution for both equations (from the ones given in the options) is (2, 5)

Replacing it in each equation we can see that:

5 = 2*2 + 1

5 = -2 + 7

So that is the correct option.

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Answer:

4300

Step-by-step explanation:

If 171 out of 400 people like pop music, that means that 42.75% of all citizens prefer pop music.

To calculate the amount of citizens that prefer pop music in a sample of 10000 citizens, all we need to do is multiply 10000 by 0.4275=4275 citizens, which is roughly 4300.