PLEASEE HELPPP GIVING ALL MY POINTS

The slope of the line that contains the the given points is 1/5 .

The slope of the line containing the two points (x₁ , y₁) and (x₂ , y₂) is calculated using the formula

slope = (y₂ - y₁)/(x₂ - x₁)

In the question ,

it is given that the

line contains the points x [tex]=[/tex] -4 , y [tex]=[/tex] -3

and x = 1 , y = -2 .

we need two points to find the slope of the line

Substituting the values in the formula for slope ,

we get

slope = (-2 -(-3))/(1-(-4))

= (-2+3)/(1+4)

= 1/5

Therefore , The slope of the line that contains the the given points is 1/5 .

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Each part of Nick's and Autumn's expressions mean can be explained as follows;

Nick;

Autumn:

ler

Nick expression:

[tex] {20( \frac{1}{2} })^{w} [/tex]

Where,

the amount of substance he begins with = 20

the amount of substance left after each week = 1/2

If w = 2

[tex] {20( \frac{1}{2} })^{w} [/tex]

[tex]{20( \frac{1}{2} })^{2} [/tex]

= 20(0.25)

= 5 milligrams

Autumn's expression:

[tex] {(1 - 0.5)}^{w} [/tex]

The one outside of parentheses = the initial amount of the substance.

The one inside of parentheses = 100% of the original amount of the substance.

0.5 represents the 50% of the substance that is lost each time period

[tex] {(1 - 0.5)}^{w} [/tex]

[tex] {(1 - 0.5)}^{2} [/tex]

= (0.5)²

= 0.25 milligrams

Complete question:

Nick starts with 20 milligrams of a radioactive substance. The amount of the substance decreases by 1/2 each week for a number of weeks, w. He writes the expression 20(12)w to find the amount of radioactive substance remaining after w weeks. Autumn starts with 1 milligrams of a radioactive substance. The amount of the substance decreases by 50% each week for a number of weeks, w. She writes the expression (1-0.5)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Nick's and Autumn's expressions mean.

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Answer:

The answer is –3 < 1

Step-by-step explanation:

-3 is below zero. 1 is above zero. therefore, -3 less than 1

The total amount of water Karla drank before and after the tennis practice is 5 cups and 9 fluid ounces.

The correct answer option is option C.

Convert fluid ounces to cups:

1 fluid ounces = 0.125 cups

15 fluid ounces = 1.875 cups

Total volume of water Kayla drank = Volume of water Karla drank before tennis practice + Volume of water Karla drank after tennis practice

= 1.875 cups + 4 cups

= 5.875 cups

Approximately,

5 cups and 9 fluid ounces

Therefore, the total volume of water Karla drank is approximately 5 cups and 9 fluid ounce

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Answer:

1022

Step-by-step explanation:

360+600+12+45+9=1022

The equation of line having a slope of 1/4 which passes through point (8,-3) is y = (1/4)x - 5.

The equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point (8, -3 )

Determine the y-intercept 'b'.

Substitute the point and slope into the equation of line formula and solve for b.

y = mx + b

-3 = (1/4)(8) + b

-3 = 8/4 + b

-3 = 2 + b

b = -3 - 2

b = -5

Now, substitute slope and y-intercept into y = mx + b to determine the equation of the line.

y = mx + b

y = (1/4)x + (-5)

y = (1/4)x - 5

Therefore, the equation of the line is y = (1/4)x - 5.

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Answer:

(- 25, 5 )

Step-by-step explanation:

- 3x - 6y = 45 → (1)

- 5y = x → (2)

substitute x = - 5y into (1)

- 3(- 5y) - 6y = 45

15y - 6y = 45

9y = 45 ( divide both sides by 9 )

y = 5

substitute y = 5 into (2)

- 5(5) = x , then

x = - 25

solution is (- 25, 5 )

Answer:

1,198 cm

Step-by-step explanation:

To find the diameter, use the formula d = 2r.

d = 2(599)

d = 1,198

The final velocity of a vehicle with a mass of 800kg is 20000 m/s.

So, calculate the final velocity as:

Now, we know that:

Insert values in the formula and calculate as follows:

Rounding off: v =  20000 m/s

Therefore, the final velocity of a vehicle with a mass of 800kg is 20000 m/s.

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The number of full turns per minute is 235.

Given that, a cycle Wheel does 1645 full turns in 7 minutes.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

The number of full turns per minute = Number of full turns/Number of minutes

= 1645/7

= 235 full turns per minute

Therefore, the number of full turns per minute is 235.

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If  he has 7 more nickels than dimes. The number of quarters that Warren have is 7.

Let coins be:

n + d + q = 40

Where;

n = nickels

d =dimes

q = quarters

Hence,

.05n + .10d + .25q = 4.05

n = d + 7

Substitute (d+7) for n

(d+7) + d + q = 40

2d + q = 40 - 7

2d + q = 33

q = (33-2d)

So,

.05(d+7) + .10d + .25q = 4.05

.05d + .35 + .10d + .25q = 4.05

15d + .25q = 4.05 - .35

.15d + .25d = 3.70

Substitute (33-2d) for q

.15d + .25(33-2d) = 3.70

.15d + 8.25 - .5d = 3.70

.15d -.5d = 3.70 - 8.25

-.35d = -4.55

Divide both side by -/35d

d = -4.55 / -.35

d = 13 dimes

Nickels

n = d+7 where d is 13

n = 13 + 7

n = 20 nickels

Quarters

q = (33-2d)

q = 33 - 2(13)

q = 33 - 26

q = 7 quarters

Therefore 7 is the quarters.

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Each section of a highway has length of 1.5 miles.

In this question, Ms. Galindo’s class has adopted two equal sections of a highway to keep clean.

We need to find the length of each section.

Let each section measures x mile.

The combined length of the two sections is 6/8 of a mile.

So, we get an equation x + x = 6/8

We solve above equation to find the value of x.

2x = 6/8

x = (6/8) / 2

x = 6/4

x = 1.5

Therefore, each section of a highway has length of 1.5 miles.

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Answer:20 dollars per hour

Step-by-step explanation:60/3 = 20

20 dollars per hour

7 x 20 = 140

Answer:

Step-by-step explanation:

Take the amount, $4.75, multiplied by x will give you the total amount of money raised and just put that into the equation format:

$4.75 (x) = total amount of money raised

4(a + 8)

multiply out:

= 4a + 32

5 days does it take to sell 640 cupcakes.

Given:

A bakery sells 4 dozen cupcakes every 3 hours.

If the bakery is open 8 hours each day.

4 dozen cupcakes = 4*12 cupcakes

= 48 cupcakes

48 cupcakes = 3 hours

divide by 3 on both sides

3hours/3 = 48/3 cupcakes

1 hour = 16 cupcakes

Number of cupcakes for 8 hours = 8 * 16 = 128 cupcakes.

128 cupcakes sells in one day.

To sell 640 cupcakes = 640/128

= 5 days.

Therefore 5 days does it take to sell 640 cupcakes.

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As a result of using all values in the data set to calculate an average, the mean is the most widely used measure of central tendency.

A measure of central tendency, also known as a measure of center or a measure of central placement, is a summary statistic that seeks to summarize an entire collection of data by using a single number that corresponds to the middle or center of the distribution.

You are probably most familiar with the central tendency measure known as the mean, which is the arithmetic average. It is fairly easy to determine the mean. Simply add up all the values then divide by the dataset's observation count.

The teacher can get a mathematical breakdown of how well the children are doing through measures of central tendency.

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Cost will be $180 and so will be the revenue.

 Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.

Cost: C=72+6s, where s is the number of shirts sold

Revenue: R=10s

Break-even is where they are equal

72 + 6s = 10s

72/4 = s

s = 18 shirt s

Cost will be $180 and so will be the revenue.

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Answer:

x = 3.5units

Step-by-step explanation:

Congruent means the same length, so set the given lengths equal to each other.

8x - 17 = -2x + 18

Add 2x to both sides.

10x -17 = 18

Add 17 to both sides.

10x = 35

Divide by 10

x = 3.5

When x is 3.5, KL and ST are the same length. Check.

8(3.5) - 17 = 11

and

-2(3.5) + 18 = 11

a) The new principal (principal + capitalized interest) when Rich begins making loan payments will be $9,425.10.

b) The total interest that Rich will pay over the life of the loan is $4,914.20.

The interest on student loans is based on simple interest.

The only interest capitalized is the interest during the non-payment period if the student does not pay the interest.

Some students elect to pay the interest during the non-payment period to reduce the capitalized interest and principal during the payment period.

Capitalization refers to the addition of interest to the principal amount.

Period of student loan = 10 years

The amount of the federal unsubsidized student loan = $7,900

Interest rate = 4.29%

Capitalized interest during the non-payment time = $1,525.10 ($7,900 x 4.29% x 4.5)

New principal when Rich begins making loan payments = $9,425.10 ($7,900 + $1,525.10)

Total interest for loan = $4,914.20 ($7,900 x 4.29% x 14.5)

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The fault with Jerome's approach as required in the task content is; he tries to add 3 and 5 by switching 5 and 6, but, he forgets to switch the signs too.

Commutative property of addition is a property of addition which posits that Changing the order of addends does not change the sum.

On this note, the use of the commutative property of addition on the given expression; 3 - 6 + 5 would yield the expression; 3 + 5 - 6.

Consequently, the fault with Jerome's approach is that; he tries to add 3 and 5 by switching 5 and 6, but, he forgets to switch the signs too.

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The measure of angle1 in the given rectangular figure is 64° .

In the question ,

it is given that ,

the one of the angle is 116° .

From the figure below ,

we can see that

the dashed line is a transversal to AB and CD ,

the angles on the line AB form a linear pair ,

So , angle2 + 116° = 180°

angle2 = 180° - 116°

angle2 = 64°

Since the side panel of the podium is cut from rectangular piece

the figure is representing two parallel lines , cut by the transversal .

By the property of transversal that alternate interior angles are equal in measure ,

angle 1 = angle 2

hence , angle 1 = 64° .

Therefore , The measure of angle1 in the given rectangular figure is 64° .

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Answer:

A

Step-by-step explanation:

∠ A and ∠ B are vertically opposite angles and are congruent. that is

∠ A and ∠ B are vertical angles

The number of days that the food will last when an average of 18 people are at the shelter everyday is 50 days.

From the information given, the shelter has enough food to feed an average of 45 hungry people a day for 20 days.

Let the number of days that the people can be fed when 18 people come be Illustrated as x.

Therefore, this will be illustrated as x. This will be:

x = (45 × 20) / 18

x = 900 / 18

x = 50

The number of days is 15 days.

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Complete question

A shelter has enough food to feed an average of 45 hungry people a day for 20 days. If an average of 18 people are at the shelter everyday, how long will the food last?

1. Therefore, the sequence is geometric.

2. Therefore, the sequence is arithmetic.

3. Therefore, the sequence is neither arithmetic nor geometric.

4. Therefore, the sequence is geometric.

5. Therefore, the sequence is neither arithmetic nor geometric.

For the arithmetic, geometric, and harmonic sequences, a collection of sequences and series formulas is provided below. The sequence and series formulas presented here contain formulas for determining the sum of the n terms in a series as well as the nth term of the sequence.

A common difference exists between two succeeding terms in an arithmetic series. There is a typical ratio between succeeding terms in a geometric series.

1. Given sequence is 27, 9, 3, ...

As the difference between the number is large.

So, we will check for geometric sequence.

[tex]r = \frac{27}{9} = \frac{3}{3} = \frac{1}{3}[/tex]

Therefore, the sequence is geometric.

2. Given sequence is 4, 8, 12, ...

As we can see there is uniform difference of 4

Therefore, the sequence is arithmetic.

3. Given sequence is 50, 56, 60, ...

As the difference between the number is not uniform.

So, we will check for geometric sequence.

[tex]r = \frac{50}{56} \neq \frac{56}{60}[/tex]

There, the sequence is neither arithmetic nor geometric.

4. Given sequence is 36, 12, 4, ...

As the difference between the number is large.

So, we will check for geometric sequence.

[tex]r = \frac{36}{12} = \frac{12}{4} = 3[/tex]

Therefore, the sequence is geometric.

5. Given sequence is 4, 24, ...

The number of terms is very less and hence we can't decide.

There, the sequence is neither arithmetic nor geometric.

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Answer: 63 inches

Step-by-step explanation:

Answer:

63 inches

Hope this helps :)