4. Point A has coordinates (8, -1) and Point
Bhas coordinates (-7,-4).
est
What is the slope of the line segment
with endpoints A and 8?
imes
c. - 1/3
A.
B.
5
1
D. - 3

The percentage increase in Jason's height is 11.1%.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

To find the percentage increase in Jason's height, we can use the following formula:

percent increase = (final value - initial value) / initial value x 100%

In this case, the initial value is 36 inches (Jason's height at the beginning of the year) and the final value is 40 inches (Jason's height at the end of the year). Plugging these values into the formula, we get:

percent increase = (40 - 36) / 36 x 100% = 4 / 36 x 100% = 11.11%

Rounded off to the nearest tenths, the percentage increase in Jason's height is 11.1%.

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Answer:

zero

Step-by-step explanation:

(−1)^r when r is an odd integer greater than 1 always  equals -1                                     then -1 + 1 = zero

Answer:

0

Step-by-step explanation:

(−1)^r when r is an odd integer greater than 1 always equals -1,then -1 + 1 =0.

Hope this helps.

Answer:

B

Step-by-step explanation:

The scale size that came before 2.744 is 1.92.

To find the scale size that came before 2.744, we need to understand the relationship between the consecutive scale sizes. Given that the base font size is represented as 1 on the scale, and we have two consecutive sizes as 2.744 and 3.8416, we can determine the common ratio of the geometric progression that these sizes follow.

Let's denote the common ratio as r. Then, we can write the following relationship:

[tex]\[ 2.744 \times r = 3.8416 \][/tex]

Now, we solve for r:

[tex]\[ r = \frac{3.8416}{2.744} \] \[ r = 1.4 \][/tex]

Now that we have the common ratio, we can find the scale size before 2.744 by dividing 2.744 by the common ratio:

[tex]\[ \text{Previous scale size} = \frac{2.744}{1.4} \] \[ \text{Previous scale size} = 1.92 \][/tex]

Answer:

g(x), because an increasing exponential function will eventually exceed an increasing quadratic function

Step-by-step explanation:

From data, we know that for greater x values, g(x) is greater than f(x).

It is also known that exponential function has greater values than quadratic function for large enough x values.

Answer:

∠ ACB = 56°

Step-by-step explanation:

The angle subtended at the centre AOB is twice the angle on the circumference ACB , that is

∠ ACB = 0.5 × 112° = 56°

Step-by-step explanation:

A kite is broken into two triangles

Given the base of the traingle, b = 16 cm

Height of the triangle, h = 5 cm

Area of traingle = [tex]\frac{1}{2} (b.h)[/tex]

= [tex]\frac{1}{2} (16) (5)[/tex]

= 40 [tex]cm^{2}[/tex]

Area of the kite = area of triangle 1 + area of triangle 2

  = 40 + 40

 = 80 [tex]cm^{2}[/tex]

Answer:

its five

Step-by-step explanation:

Answer: additional prop

subtraction prop

division prop

Step-by-step explanation:

Answer:

25 cups of flour

Step-by-step explanation:

we know that

A bakery uses 8 tablespoons of honey for every 10 cups of flour

so

using proportion

Find out how many cups they use with 20 tablespoons of honey

[tex]\frac{8}{10}=\frac{20}{x}\\\\x=10(20)/8\\\\x=25\ cups\ of\ flour[/tex]

There will be 25 cups of flour used for 20 table spoons of honey.

Number of teaspoonful of honey used:

We can write the relation as :

Hence, 25 cups of flour will be used for 20 teaspoonful of honey.

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Answer:

The average (mean) of the test scores is

A. 76

To find the average (mean) of test scores, add them up and divide by the total number of scores. The average of these test scores is 76.

To find the average (mean) of the test scores, you need to add up all the scores and then divide by the total number of scores. In this case, you have 5 test scores: 83, 92, 47, 78, and 80. Adding them all up, you get 83 + 92 + 47 + 78 + 80 = 380. Then, divide the sum by 5 (the total number of scores): 380 / 5 = 76. Therefore, the average of these test scores is 76.

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Answer:

Where is the data

Step-by-step explanation:

Answer:

The answer to this question is D, 2x+1.

Answer:

Quarters = 7

Dimes = 5

Step-by-step explanation:

Let d = dimes and q = quarters:

d+q = 12

10d+25q = 225

Solve for d:

d = 12-q

Substitute it into the second equation:

120+15q = 225

Subtract 120 from both sides:

15q = 105

Divide by 15 in both sides

q = 7

By setting up a system of linear equations based on the given conditions, we find that the solution involves having 9 dimes and 3 quarters. These numbers satisfy the conditions that there are 12 coins in total which combine to be worth 225 cents.

This question is about solving a system of linear equations. Let's assign variable 'd' to the quantity of dimes and 'q' to quarters. We know from the problem that:

To solve for 'd' and 'q', we can use substitution or elimination method. In this case, let's isolate 'd' in the first equation: d = 12 - q. Then substitute 'd' into second equation: 10(12 - q) + 25q = 225. After simplifying, you will find q = 3. Subtituting q = 3 back into the first equation, we find d = 9. Thus, the man has 9 dimes and 3 quarters.

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Answer: I believe the answer is C) 8

The pattern goes 0, 4, 8, 12

Inbetween them are 2, 6, 10

Answer:

I think it’s 17:51

Step-by-step explanation:

Answer:

i believe 105ft

Step-by-step explanation:

5×5=25

8×5×.5×4=80

Answer:

105

Step-by-step explanation:

Answer:

I got 6.1 as the answer!

Step-by-step explanation:

The required number in the middle of the numbers 2.7 and 9.5 is 6.1.

To determine the number in the middle of 2.7 and 9.5.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The middle number is evaluated as the sum of the numbers divided by 2,
= 2.7 + 9.5 / 2
= 12.2/2
= 6.1

Thus, the required number in the middle of the numbers 2.7 and 9.5 is 6.1.

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Answer:

y=0

Step-by-step explanation:

if you mulitply all of thoughts with any other number you will get a huge number but anything *0 equals 0

Answer:

12.56

Step-by-step explanation:

The formula for circumference is:

Circumference = Pi x Diameter

In this case the diameter is 4.

So you can simplify Pi to just 3.14 and multiply that times 4 which gives you 12.56.

Hope this helped!

Answer::25.13

Answer:25.13

Step-by-step explanation: C=2πr=2·π·4≈25.13274

This is the correct answer to the question and thats the explanation

It wont let me turn it in for some reason

Answer:

The square root of 82 rounded to the nearest whole number is 9.

The square root of 82 is estimated to be 9, as it falls between the perfect squares 64 and 100, which have square roots 8 and 10 respectively, and it is closer to 64.

The square root of a number is the value that, when multiplied by itself, gives the original number. For example, the square root of 64 is 8, because 8*8 equals 64. To estimate the square root of 82 to the nearest whole number, you should locate two perfect squares that 82 falls between. The perfect squares nearest to 82 are 64 (8^2) and 100 (10^2), so the square root of 82 must be between 8 and 10. As 82 is closer to 64 than to 100, the square root of 82 would be closer to 8. Therefore, we can estimate the square root of 82 to the nearest whole number as 9.

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Answer:

[tex]A(\theta)=\frac{162 \theta}{(\theta+2)^2}[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

[tex]2r+s=18[/tex]

[tex]s=r \theta[/tex]

[tex]2r+r \theta=18[/tex]

solve for r

[tex]r=\frac{18}{2+\theta}[/tex]

step 2

Find the value of s

[tex]s=r \theta[/tex]

substitute the value of r

[tex]s=\frac{18}{2+\theta}\theta[/tex]

step 3

we know that

The area of complete circle is equal to

[tex]A=\pi r^{2}[/tex]

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

[tex]\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}[/tex]

substitute the value of r

[tex]A=\frac{(\frac{18}{2+\theta})^2\theta}{2}[/tex]

[tex]A=\frac{162 \theta}{(\theta+2)^2}[/tex]

Convert to function notation

[tex]A(\theta)=\frac{162 \theta}{(\theta+2)^2}[/tex]

Answer:

Stairs come in many different forms, and while building a basic staircase may appear to be a simple task, there are actually a number of parameters, calculations, and building codes that must be considered. These range from the length, width, and height of specific parts of the stairs, to where doors are placed in relation to stairs; the arc of a door must be completely on the landing or floor and not be allowed to swing over steps. Below is a list of some of the most common terminology regarding stairs, as well as some commonly used building codes. Building codes or requirements can differ at a local level, and a person building a staircase should refer to the codes specific to their locations.

Run/Tread: The run or tread is the part of the stairway that a person steps on. Its length is measured from the outer edge of the step, which includes the nosing if it is present, to the vertical portion of the stair called the riser. Both nosing and riser are discussed below. When measuring total run of a staircase, the length of the tread above the last riser is not included in the measurement. Also, when nosing is present, total run is not simply the sum of tread length, since the overhang caused by the nosing must be subtracted from the total run.

Building codes generally suggest that the minimum length of a tread be 10 inches (25.4 cm).

Rise/Riser: The rise, or height of a step is measured from the top of one tread to the top of the next tread. It is not the physical height of the riser because this excludes the thickness of the tread. The number of risers, not the number of treads, is used to determine the number of steps that comprise a staircase.

Building codes generally suggest that the maximum height of a riser be 7.75 inches (19.7 cm)

Nosing: The nosing is the protrusion at the edge of a tread that hangs over the riser below. Not all steps have a nosing, but when present, the nosing is included in the length of the tread. The main purpose of a nosing is to improve safety by providing extra space on which a person can place their feet.

Common building codes generally suggest that the nosing have a minimum length of 0.75 inches (1.9 cm) and a maximum length of 1.25 inches (3.2 cm).

Headroom: Headroom is the height measured from the top of a tread to the ceiling above it. While building codes for headroom are primarily intended to ensure enough room for people to comfortably use the stairs, the codes typically require far more room than the average height of a person to allow for moving larger objects such as furniture.

Building codes generally suggest at least 6 ft. 8 inches (203.2 cm) of stair headroom.

Stair Width: Stair width is measured from edge to edge of each side of the tread, perpendicular to tread length. While measurements of length are conventionally longer than those of width when considering rectangles, in the case of steps, the width is usually the longer side. Stair width does not include handrails.

Building codes generally suggest that stairs be at least 36 inches (91.44 cm) wide.

Handrails & Guards/Guardrails: A handrail is a railing that runs up a stair incline for users to hold when ascending or descending a staircase. A guard is "a building component or a system of building components located near the open sides of elevated walking surfaces that minimizes the possibility of a fall from the walking surface to the lower level." Guards can include rails (guardrails), but can be any number of other constructions such as walls, half-walls, or even a bench.

Building codes generally require guards for stairs that have a total rise of more than 30 inches above the floor, and require that these guards be at least 34 inches (86.36 cm) in height measured from the top of the treads. Similarly, handrails must be between 34 and 38 (96.52) inches high measured from the top of the treads, with a diameter between 1.25 inches (3.18 cm) and 2.675 inches (6.79 cm).

Stringer: A stair stringer is a structural member that supports the treads and risers of a staircase. Typically, there are three in a staircase: one on each side, and one in the middle. Stringers are not always visible, but can be seen on stairs with open sides. The stringers can either be cut to the shape of each step, or in some cases are uncut and conceal the edges of the treads.

Step-by-step explanation:

Internet

Answer:

(2u-1)(5u+1)=0

(2u-1), sin(x)= 1/2

(5u+1), sin(x)= -1/5

The solutions to the equation:

x=pi/6 + 2kpi

x=5pi/6 +2kpi

3.34+2kpi

-0.201+2kpi

Step-by-step explanation:

Correct on edge

[tex](2u-1)(5u+1)=0(2u-1), sin(x)= 1/2(5u+1), sin(x)= -1/5The solutions to the equation:x=pi/6 + 2kpix=5pi/6 +2kpi3.34+2kpi-0.201+2kpi[/tex]

To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent. If "x" is different (i.e., the equations have different roots), then the equations are not equivalent.

For example, if we take 3x + 12 = 7x - 2 and subtract 3x from both sides and add 2 to both sides, we get 14 = 4x. In doing this, we haven't changed the solution set, so 3x + 12 = 7x - 2 and 14 = 4x are equivalent.

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The solution is Option C.

The equation of the parabola is y = 2x² - 28x + 104

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the vertex of the parabola be ( h , k ) = ( 7 , 6 )

Now , the point P ( 6 , 8 ) lies on the parabola

The equation of the parabola is given by

y = a ( x - h )² + k

Substituting the values in the equation , we get

y = a ( x - 7 )² + 6

8 = a ( 6 - 7 )² + 6

Subtracting 6 on both sides of the equation , we get

2 = a ( 1 )

So , the value of a = 2

Now , the equation of parabola is

y = 2 ( x - 7 )² + 6

On simplifying the equation , we get

y = 2 ( x² - 14x + 49 ) + 6

y = 2x² - 28x + 98 + 6

y = 2x² - 28x + 104

Hence , the equation of parabola is y = 2x² - 28x + 104

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Answer:

¼

Step-by-step explanation:

m1 × m2 = -1

m2 = -1 ÷ -4

m2 = 1/4

Answer:

1/4

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other.

Perpendicular slope = [tex]\frac{-1}{m}[/tex]

The slope (m) of the green line is -4.

To solve the slope of the red line, substituted -4 into the equation:

[tex]\frac{-1}{-4}[/tex]

Solve:

[tex]\frac{-1}{-4}[/tex] which give you [tex]\frac{1}{4}[/tex]

Answer: No solution

Step-by-step explanation: -12x-14=-62-12x

You would have to simplify the -12x but you can't so this would be a no solution.

Answer:

No solution

Step-by-step explanation: