|y + 4| < 1
A. −5 < y < –3
B. –3 < y < 5
C. –4 < y < 1
D. 1 < y < 4

The co-ordinates of the mid-point of the line PQ are (6,4).

From the question, we have

The point P has co-ordinates (10, 12) and the point Q has co-ordinates (2,-4).

Mid-point of the line PQ =(10+2)/2 , (12-4)/2

= (6,4).

Midpoint:

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway. In addition, the halfway is reached if a line is drawn to divide the line that connects these two places. When we know the coordinates of two points, we can apply the midpoint formula to get the midpoint between them. If we know the coordinates of the other endpoint and the midpoint, we can use the midpoint formula to obtain the coordinates of the endpoint as well.

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Answer: C.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

134.77

Step-by-step explanation:

Round 134.76821 to the nearest hundredth

by placing each number in reference to what they represent.

1 - hundreds

3 - Tens

4 - units

.7=Tenth

.76=Hundredth

.768=Thousandth

.7682=Ten Thousandth

.76821= Hundred Thousandth

Nearest hundredth will be

134.[76]821

since 2,1 are both round down numbers they will produce approximately 0

since 8 is a round off number it will produce approximately 10

134.77000

or 134.77

you can award the answer as brainliest

Answer:

the answer is 18 lol....

Answer:

Step-by-step explanation:

13+(-3)^2+4(-3)+1- {-10-(-6)}

_________________________

[4+5}/ [4^2-3^2(4-3)-8]+12

15/3=5

Your answer might be 16.31 inches for each headband and wristband for each player.

---------------------------------------

Hope this helps!

Joke: What has ears but can’t hear a thing?

Answer: A cornfield.

Have a great day and God bless! :D

The cost per mile incurred by Ernest Dorsey for driving the sports coupe for last year was $0.41.

The cost per mile is the quotient of the division operation involving the total cost incurred and the driving mileage for the year.

To derive the total cost, add up the value of the car consumed (cost - current value), the annual variable, and fixed costs.

Cost of a used sports coupe last year = $8,000

The current value of the car = $6,000

Used value for the year = $2,000.00 ($8,000 - $2,000)

Gasoline               $1,589.56

Oil changes            $245.98

Repairs                     $548.11  $2,383.65

Insurance             $1,105.32

License                    $85.00    $1,190.32

Total cost for the year =        $5,573.97

Driven mileage for the year = 13,569 miles

Cost per mile = $0.41 ($5,573.97/13,569)

Thus, the cost per mile is $0.41.

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The equation of the linear function is y=8x+(-8).

What do you mean by equation?

A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation. Take the example of 3x + 5 = 15. Equations can be of several sorts, including linear, quadratic, cubic, and others.

According to data in the given question,

We have points (0,-8) and (1,0), thus

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\=\frac{(0-(-8))}{1-0} \\=8[/tex]

Then

y=8x+b

Points (0,-8) means that when x=0, y=-8 and we use this to find b,

y=8x+b

-8=8(0)+b

-8=0+b

b=-8

So, y=8x+(-8)

Therefore, the equation of the linear function is y=8x+(-8).

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The probability of picking a shirt that is red or striped is 2/3.

Given, that a drawer of shirts contains 3 solid red, 2 striped red, 4 solid blue, and 3 striped green.

We have to find the probability of picking a shirt that is red or striped,

P(R ∪ S) = P(R) + P(S) - P(R∩S)

where, R be the event that the shirt is red.

and S be the even that the shirt is striped.

P(R) = 5/12 (as, there are 5 red shirts)

P(S) = 5/12 (as, there are 5 striped shirts)

P(R∩S) = 2/12 (as, there are 5 striped red shirts)

P(R ∪ S) = 5/12 + 5/12 - 2/12

P(R ∪ S) = 8/12

P(R ∪ S) = 2/3

The probability of picking a shirt that is red or striped is 2/3.

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-6t -54  is the expression equivalent to-6(t+9)

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s)

Given: -6(t+9)

First, clear the parenthesis by using -6 to multiply t and 9:

-6(t+9) = (-6 x t) + (-6 x 9)

          = -6t + (-54)

          = -6t -54

Therefore, the -6t -54 is equivalent to -6(t+9)

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Answer:

5/48

Step-by-step explanation:

The fraction of people getting cake will be 1/6 of 5/8 thus it will be 5/48.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

James shares 5/8 of a cake between 6 people.

Now, 1/6 of 5/8 will be as,

1/6(5/8) = 5/48

Hence "The fraction of people getting cake will be 1/6 of 5/8 thus it will be 5/48".

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Answer:

Step-by-step explanation:

y= 1/7 - x/7

Answer:

y = 1/7 - x/7

Step-by-step explanation:

4(7y + x) = 4             Distribute the 4 to 7y and x

28y + 4x = 4            Subtract the 4x on both sides

28y = 4 - 4x            To get 'y' by itself divide 28 on both sides

y = 4/28 - 4x/28      You can simplify the 4/28 since 4 goes into 28 7 times

y = 1/7 - x/7

Check the picture below.

[tex]~~~~~~\textit{initial velocity in meters} \\\\ S = -5t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&16\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&16\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ 0=-5t^2+16t+16\implies 5t^2-16t-16=0 \\\\\\ (5t+4)(t-4)=0\implies t= \begin{cases} -\frac{4}{5}\\\\ 4 ~~ \textit{\LARGE \checkmark} \end{cases}[/tex]

the equation for meters is usually as you see in the picture but for this exercise it got rounded from -4.9 to -5, which is fine.

let's notice that "t"  has two values, however the seconds cannot be a negative value, so we dismiss that one.

The ball will strike the ground 4 seconds after it is thrown When an object is thrown upward, its height , in meters, is given by the quadratic equation S = -5t² + vt + h

To find the time at which the ball will hit the ground, we need to determine when the height (S) of the ball becomes zero. At that moment, the ball will be at ground level.

The height (S) of the ball is given by the quadratic equation:

S = -5t² + vt + h

where:

S = height of the ball in meters

t = time of flight in seconds

v = initial velocity in meters/second (upward velocity, so it's positive)

h = height above level ground from which the object is thrown

Given that the initial velocity (v) is 16 meters/second, and the height above the ground (h) is 16 meters, we can substitute these values into the equation:

S = -5t² + 16t + 16

Now, to find the time (t) at which the ball hits the ground, we need to solve for t when S = 0:

0 = -5t² + 16t + 16

This is a quadratic equation in standard form (ax² + bx + c = 0), and we can solve it by factoring or using the quadratic formula. In this case, let's use the quadratic formula:

The quadratic formula is given by:

t = (-b ± √(b² - 4ac)) / 2a

In our case, a = -5, b = 16, and c = 16. Plugging these values into the quadratic formula:

t = (-(16) ± √(16² - 4*(-5)16)) / 2(-5)

t = (-16 ± √(256 + 320)) / -10

t = (-16 ± √576) / -10

Now, find the two possible solutions for t:

t₁ = (-16 + √576) / -10

t₁ = (-16 + 24) / -10

t₁ = 8 / -10

t₁ = -0.8 seconds

t₂ = (-16 - √576) / -10

t₂ = (-16 - 24) / -10

t₂ = -40 / -10

t₂ = 4 seconds

We have two solutions for t: t = -0.8 seconds and t = 4 seconds. However, we can disregard the negative value for time, as time cannot be negative in this context.

So, the ball will strike the ground 4 seconds after it is thrown.

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Quadratic equation that passes through the points (-4,2) and (2,2) and a form a graph of horizontal line y =2.

Given,

Quadratic equation passes through the points (-4,2) and (2,2)

(x₁, y₁) =(-4,2)

(x₂ ,y₂) = (2,2)

Here,

(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)

⇒(y - 2) / (x + 4) = (2 -  2) / (2 + 4)

⇒ (y-2) / (x+4) =0

⇒y -2 =0

⇒y = 2

Quadratic equation formed from the given points (-4,2) and (2,2) is y =2.

Which represents the horizontal line and does not have any vertex.

Therefore, quadratic equation that passes through the points (-4,2) and (2,2) and a form a graph of horizontal line y =2.

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The constant of variation is 1.75 for every unit increase in x (weight), and the cost(y) value increases by $ 1.75.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The difference between two consecutive entries is constant, as we can see = 1.75

⇒ 7 - 5.25 = 1.75

⇒ 8.75-7 = 1.75

⇒ Slope(m) = 1.75

The slope represents the variable's rate of change.

y - 3 = m(x - 5.25)

y - 5.25 = 1.75(x-3)

y = 1.76x

Thus, the constant of variation is 1.75

This indicates that for every unit increase in x (weight), the cost(y) value increases by $ 1.75.

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The question seems to be incomplete the correct question has been attached

Tiffany needs to pay $8,084.44 in total.

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

Given:

P= 8000

R= 7%= 0.07

Time= 8 years.

Now, Amount = P[tex](1 + r/n)^{nt[/tex]

Amount = 8000 [tex](1 + 0.07/15)^{12 . 15[/tex]

Amount = 8000 x (1 + 5.8333333333333E-5)

amount = $8,084.44

Hence, Tiffany needs to pay $8,084.44 in total

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Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm,  An award for creating the monster causes these feelings.

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Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm,  An award for creating the monster causes these feelings.

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1/1728 is the value of negative integers .

What in math is an integer?

= 12⁻³

= 1/12³

=  1/1728

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The simplified value of the above expression is 5.00248967e-19

we know,'^' this symbol means by times

[tex]3^{3}[/tex] =27

[tex]6^{6}[/tex] =46,656

27 multiplied by 46,656

[tex]27 \times 46,656 = 1,259,712[/tex]

[tex]1,259,712 ^{-3} = 5.00248967e-19[/tex]

if you want you can apply the BODMAS  system here.

it is just a fraction try to simplify it.

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The share Kyle sells worth $55000 and Kyle's gain amount is $5000

Given,

The share bought by Kyle of company XYZ = $50,000

The share price = $100

The  share price after an year = $110

We have to find the gain amount by Kyle when Kyle sells all his shares.

Here,

We can apply Unitary method;

100 ⇒ 110

50000 ⇒ x

Compute;

100x = 110 x 50000

x = (110 x 50000) / 100

x = 110 x 500

x = $55000

Now,

Kyle gains,

55000 - 50000 = $5000

That is,

The share Kyle sells worth $55000 and Kyle's gain amount is $5000

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Answer:

Thank you,Hope you like it and it will help you

The interval where the product will be at least break even equals to 18 units.

In accounting, the break-even point refers to the production level at which total revenues equal total expenses.

Given data

Cost is given as C = 45x + 450

Revenue is given as: R = 70x

In this case, the point of breakeven will be:

Cost = Revenue

45x + 450 = 70x

We will collect like terms:

70x - 45x = 450

25x = 450

We will divide both side by 25:

25x/25 = 450/25

x = 18

Therefore, the interval where the product will be at least break even equals to 18 units.

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Answer:

10th term

Step-by-step explanation:

given [tex]T_{n}[/tex] = 5n + 2 and [tex]T_{n}[/tex] = 52 , then equate right sides and solve for n

5n + 2 = 52 ( subtract 2 from both sides )

5n = 50 ( divide both sides by 5 )

n = 10

that is the 10th term has a value of 52

The amount of interest to be charged on the note, based on the face value of the note, is $302. 22.

The amount the borrower would receive is $16, 697. 78.

The interest charged on the simple discount note can be found by the formula:

= Face value of note x discount rate x number of days / total days in a year

= 17, 000 x 4% x 160 / 360

= $302. 22

The amount that the borrower would receive is then:

= Face value of note - Interest charged on note

= 17, 000 - 302.22

= $ 16, 697. 78

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Measure of largest. smallest and middle angle of a triangle under given conditions is 145°, 15° and 20° respectively.

What is angle sum property of a triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

According to the given question:

Let the measure of middle angle = x

The measure of the smallest angle is three-quarters the measure of the middle angle.

∴ Smallest angle = (3/4)x

The measure of the largest angle in a triangle is 110° larger than the sum of the measures of the other two angles.

∴ Largest angle = 110° + x + (3/4)x

Now, by Angle sum property of a triangle

x + (3/4)x + 110° + x + (3/4)x = 180°

On solving for the value of x we get

2x + (3/2)x = 70°

7x = 140°

x = 20°

Therefore,

measure of middle angle x = 20°

measure of smallest angle (3/4)x = 15°

measure of the largest angle 110° + x + (3/4)x = 145°

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Answer:

  (d)  24/49

Step-by-step explanation:

You want to know P(A|B) when P(AB) = 3/7 and P(B) = 7/8.

The general equation for conditional probability tells you ...

  P(A|B) = P(AB)/P(B)

  P(A|B) = (3/7)/(7/8) = (3/7)·(8/7)

  P(A|B) = 24/49

Answer:

see explanation

Step-by-step explanation:

this can be expressed in ratio form and fractional form , that is

45 : 30 ( divide each part by 15 )

= 3 : 2 ← in simplest form

= [tex]\frac{3}{2}[/tex]

Answer:Qadrant 4

Step-by-step explanation: