What is the area of a rectangle with vertices at ​ (−6, 3) ​, ​ (−3, 6) ​ , (1, 2) , and (−2, −1) ?

Enter your answer in the box. Do not round any side lengths.


What is the area of a triangle with vertices at (0, −2) , ​ (8, −2) ​ , and ​ (9, 1) ​ ?

Enter your answer in the box.



What is the perimeter of a polygon with vertices at (−2, 1) , ​ (−2, 4) ​, (2, 7) , ​ (6, 4) ​, and (6, 1) ​?

Enter your answer in the box. Do not round any side lengths.​



What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?

15.3 units

20.4 units

30.6 units

52.0 units

What Is The Area Of A Rectangle With Vertices At (6, 3) , (3, 6) , (1, 2) , And (2, 1) ?Enter Your Answer

Answers

Answer 1

(1) the area of a rectangle with vertices at ​ (−6, 3) ​, ​ (−3, 6) ​ , (1, 2) , and (−2, −1)

To find area of rectangle we need to find the length and width

Length = distance between (−6, 3)  and (−2, −1)

Distance = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

=  [tex]\sqrt{(-2-(-6))^2 + (-1-3)^2}[/tex]

=  [tex]\sqrt{(4)^2 + (-4)^2}[/tex]=[tex]\sqrt{(16) + 16}[/tex] =[tex]\sqrt{32}[/tex]

width = Distance between (−6, 3) ​, ​ (−3, 6)

Distance = [tex]\sqrt{(-3-(-6))^2 + (6-3)^2}[/tex]

=[tex]\sqrt{3^2+3^2}= \sqrt{18}[/tex]

Area = Length * width = [tex]\sqrt{32} *\sqrt{18} = \sqrt{576}= 24[/tex]

(2)  the area of a triangle with vertices at (0, −2) , ​ (8, −2) ​ , and ​ (9, 1) ​

Area of triangle = [tex]\frac{1}{2} * base * height[/tex]

base  is the distance between (0,-2) and (8,-2)

Distance =  [tex]\sqrt{(8-0)^2 + (-2-(-2))^2}[/tex] = 8

To find out height we take two vertices (8,-2) and (9,1)

Height is the change in y values = 1- (-2) = 3

base = 8  and height = 3

So area of triangle = [tex]\frac{1}{2} * 8 * 3 = 12[/tex]

(3) the perimeter of a polygon with vertices at (−2, 1) , ​ (−2, 4) ​, (2, 7) , ​ (6, 4) ​, and (6, 1) ​

To find perimeter we add  the length of all the sides

Distance between (−2, 1)  and (−2, 4) = [tex]\sqrt{(-2+2)^2 + (4-1)^2}[/tex]= 3

Distance between(−2, 4) ​and (2, 7) = [tex]\sqrt{(2+2)^2 + (7-4)^2}[/tex]= 5

Distance between (2, 7)  and (6, 4) = [tex]\sqrt{(6 - 2)^2 + (4-7)^2}[/tex]= 5

Distance between (6, 4) ​ and (6, 1) ​= [tex]\sqrt{(6 - 6)^2 + (1-4)^2}[/tex]= 3

Distance between  (6, 1) and (−2, 1) ​= [tex]\sqrt{(-2-6)^2 + (1-1)^2}[/tex]= 8

Perimeter = 3 + 5 + 5 + 3 + 8 = 24

(4) four coordinates are (-7,-1) (-6,4) (3,-3) and (4,2)

Length = Distance between  (3,-3) and (4,2) ​= [tex]\sqrt{(4-3)^2 + (2+3)^2}[/tex]= [tex]\sqrt{26}[/tex]

Width = Distance between (-6,4) and (4,2) ​= [tex]\sqrt{(4+6)^2 + (2-4)^2}[/tex]= [tex]\sqrt{104}[/tex]

Perimeter = 2(lenght + width) = 2*( [tex]\sqrt{26}[/tex]+[tex]\sqrt{104}[/tex] )

= 30.6 units

Answer 2

The area of the rectangle is [tex]24\;square\;units[/tex].

1. According to the question, the vertices of the rectagle are at ​ [tex](-6, 3) ;(-3, 6) ;(1, 2)[/tex] , and [tex](-2, -1)[/tex].

The distance between two vertices on the coordinate plane is

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

So,

[tex]Length=D_1\\D_1=\sqrt{(6-3)^2+(-3+6)^2}\\D_1=\sqrt{9+9}\\D_1=3\sqrt 2 units[/tex]

Similarly,

[tex]Width=D_2\\D_2=\sqrt{(-2+6)^2+(-1-3)^2}\\D_2=\sqrt{16+16}\\D_2=16\sqrt 2\;units[/tex]

The area of the rectangle is equals to product of length and width of the rectabgle.

So,

[tex]Area=length\times width\\Area=3\sqrt{2}\times 4\sqrt{2}\\Area=24\;square\;units[/tex]

Hence, the area of the rectangle is [tex]24\;square\;units[/tex].

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Related Questions

what is the mean? if the answer is a decimal, round to the nearest tenth

96. 94. 95. 89. 79

Answers

(96+94+95+89+79)/5=90.6
To see he nearest tenth 90.60
Salutations!

mean means average. To calculate the mean, you need to add up all the given numbers, and divide it with the total number of numbers given.

There are 5 numbers given, so after getting the sum of adding all 5 numbers, we will divide the sum by 5.

[tex]96 + 94 + 95 + 89. +79 = 450[/tex]

[tex]450/5=90[/tex]

The mean is [tex]90[/tex]

Hope I helped (:

Have a great day!

If a=2b, then a-c=2b-c

Answers

This is true.
a = 2b
Subtract both sides by c
a - c = 2b - c
Have an awesome day! :)
True, what you do to one side, you do to the other 

(one of the equality theorems(?) forgot)

hope this helps tho

50 points
What are the steps for using a compass and straightedge to construct a square?
Put them in order!

Answers

1. Using your straightedge, draw a reference line, if one is not provided.
2. Copy the side of the square onto the reference line, starting at a point labeled A'.
3. Construct a perpendicular at point B' to the line through ab2.
4. Place your compass point at B', and copy the side of the square onto the perpendicular b'g. Label the end of the segment copy as point C.
5. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left.
6. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.
7. Connect points A' to D, D to C, and C to B' to form a square.

Answer:

1. Using your straightedge, draw a reference line, if one is not provided.

2. Copy the side of the square onto the reference line, starting at a point labeled A'.

3. Construct a perpendicular at point B' to the line through ab2.

4. Place your compass point at B', and copy the side of the square onto the perpendicular b'g. Label the end of the segment copy as point C.

5. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left.

6. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.

7. Connect points A' to D, D to C, and C to B' to form a square.

Step-by-step explanation:

Which graph represents f(x)=−2x4 ?

Answers

abcdefghijklmnopqrstuvwxyz

The graph of y = x⁴ is also a parabola that opens upward and it is an even function.

The blue graph represents a quadratic function and the red graph represents a biquadratic function.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

We also know that graph of a quadratic function y = x² is a parabola,

Now, the graph of y = x⁴ will also be a parabola,

and it is more steeper or has a greater slope than the graph y = x² as the independent variable has a larger exponent value it is also an even function that is symmetric about the y-axis.

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Almonds cost $15.50 for 6 pounds. Find the unit rate. Round to the nearest cent if necessary.

Answers

The unit rate for almonds is approximately $2.58 per pound.

To find the unit rate, we divide the total cost by the total quantity.

In this case, the total cost is $15.50 and the total quantity is 6 pounds.

So, the unit rate is:

[tex]\[ \text{Unit rate} = \frac{\text{Total cost}}{\text{Total quantity}} \][/tex]

[tex]\[ \text{Unit rate} = \frac{15.50}{6} \][/tex]

[tex]\[ \text{Unit rate} \approx \$2.58 \][/tex]

Rounding to the nearest cent, the unit rate is approximately $2.58 per pound.

The area of a rectangular rug is given by the trinomial r squared minus 4 r minus 77r2−4r−77. What are the possible dimensions of the​ rug? Use factoring.

Answers

r2-4r-77 = (r-11)(r+7)
r has to be greater than 11 in order for the formula to represent the area of a rug since a side length cannot be less than or equal to 0.

Answer:

[tex]r>\frac{4 +\sqrt{23732} }{154} \approx1.03\\[/tex]

Step-by-step explanation:

The area of the rectangular rug is given by this equation:

[tex]77r^2-4r-77[/tex]

The area must be a number greater than 0 since a negative area, or an area equal to 0 wouldn't have much sense. So:

[tex]77r^2-4r-77>0[/tex]

Let's find the roots of this equation using the quadratic formula:

[tex]r=\frac{-b\pm \sqrt{b^2-4ac} }{2a} =\frac{-(-4)\pm\sqrt{(-4)^2-(4)(77)(-77)} }{2(77)} \\\\r=\frac{4 \pm \sqrt{23732} }{154} \\\\r_1=\frac{4 +\sqrt{23732} }{154} \approx1.03\\\\r_2=\frac{4 - \sqrt{23732} }{154} \approx-0.97[/tex]

Now, let's evaluate the area for [tex]r>r_1[/tex] for example r=1.05:

[tex]A=77(1.05)^2-4(1.05)-77=3.6925>0[/tex]

The result is greater than zero, so for [tex]r>r_1[/tex] the values make sense.

Now let's evaluate the area for [tex]r_2<r<r_1[/tex] for example r=0.5 and r=-0.7:

[tex]A=77(0.5)^2-4(0.5)-77=-59.75<0\\\\A=77(-0.7)^2-4(-0.7)-77=-36.47<0[/tex]

The result is less than zero, so for [tex]r_2<r<r_1[/tex] the values don't make sense.

Now, let's evaluate the area for [tex]r<r_2[/tex] for example r=-1:

[tex]A=77(-1)^2-4(-1)-77=4>0[/tex]

The result is greater than zero, so for [tex]r<r_2[/tex] the values make sense

However, since negative values of r wouldn't make much sense (I never heard about of -8 inches for example) the possible dimensions of the​ rug are just:

[tex]r>\frac{4 +\sqrt{23732} }{154} \approx1.03\\[/tex]

The posted speed limit in many parts in europe is 100 km/hr.what is the equivalent speed limit in miles per hour

Answers

100 kilometers per hour =
62.137 miles per hour

Answer:

62.1371 miles/hr

Step-by-step explanation:

The posted speed limit in many parts in Europe = 100 kilometers per hour

We have to convert the speed limit into miles per hour.

As we know, 1 kilometer = 0.621371 miles

Therefore, 100 kilometers = 100 × 0.621371

                                           = 62.1371 miles

The equivalent speed of 100 km/hr is 62.1371 miles/hr.

Fill in the correct justification for each step in solving the EQUATION below 36-27x=-16x+58

Answers

I'm not quite sure what it is asking, but if you need the correct order for the steps then I'll try my best:

36 - 27x = -16x + 58

You start by isolating one of the x variables, which means you can (this is what I did) start by subtracting 36 from both sides (I did this because working with negatives can sometimes be confusing):

-27x = -16x + 22

You then have to get rid of the -16x so x only shows up on one side, which means you have to add it to both sides because it is a negative:

-11x = 22

With this simple equation, all you have to do is divide both sides by -11 so you can isolate the x:

x = -2

You get the -2 because 11 goes into 22 twice and since only one number is negative, the final result is negative.

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answers

Let T denote temperature, °F

At 5:00 a.m.:
T = -6 °F

At 3:00 p.m.:
T = 36 °F
The rise in temperature from 5:00 am is
36 - (-6) = 42 °F

At 8:00 p.m.:
The temperature decreased from the high of 36 °F by 42 °F (equal to the amount of increase from 5:00 a.m. to 3:00 p.m.).
Therefore the temperature at 8:00 p.m. is
36 - 42 = -6 °F

Answer: -6 °F

EDMENTUM QUESTION:

Kayla set up an outdoor digital thermometer to record the temperature overnight as part of her science fair project. She began recording the temperature, in degrees Fahrenheit, at 10:00 p.m. Kayla modeled the overnight temperature with function t, where h represents the number of hours since 10:00 p.m. t(h) = 0.5h2 − 5h + 27.5

Answer: 15°F at 3:00 a.m.

Step-by-step explanation:

Lisa has $7.80 to spend on some tomatoes and a loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80. The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes. Solve the inequality. How many pounds of tomatoes can Lisa buy? A. x ≤ 8; Lisa can buy 8 pounds or less of tomatoes. B. x ≥ 5; Lisa can buy 5 pounds or more of tomatoes. C. x ≤ 5; Lisa can buy 5 pounds or less of tomatoes. D. x ≥ 8; Lisa can buy 8 pounds or more of tomatoes.

Answers

The answer is C, x ≤ 5; Lisa can buy 5 pounds or less of tomatoes.

Answer:

C. [tex]x\leq 5[/tex]; Lisa can buy 5 pounds or less of tomatoes.

Step-by-step explanation:

We have been given an inequality [tex]1.20x+1.80\leq 7.80[/tex], where x is the number of pounds of tomatoes. The inequality represents amount spend by Lisa on tomatoes and loaf. We are asked to find number of pounds that Lisa can buy.

First of all, we will subtract 1.80 from both sides of our inequality.

[tex]1.20x+1.80-1.80\leq 7.80-1.80[/tex]

[tex]1.20x\leq 6.00[/tex]

Now, we will divide both sides of our inequality by 1.20.

[tex]\frac{1.20x}{1.20}\leq \frac{6.00}{1.20}[/tex]

[tex]x\leq 5[/tex]

Therefore, Lisa can buy 5 pounds or less of tomatoes and option C is the correct choice.

What are not irrational out of square root of 15,16,17, and 18?

Answers

Raiz Quadrada de 17 e a de 15

The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.

Which is correct regarding the angles of the triangle?

mA > mC > mB 
mB > mA > mC
mC > mA > mB
mC > mB > mA

Answers

Answer: C) mC > mA > mB is correct regarding the angles of the  triangle ABC.


Step-by-step explanation:

Given: In Δ ABC, the side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.

AB=4p-1 , AC=p+4 , BC=3p

where p+4 < 3p        [as p≥3]

3p < 4p-1          [as p≥3]

⇒  4p-1> 3p > p+4

⇒AB>BC>AC

Angle opposite to AB ,BC and AC is m∠C ,m∠A and m∠B.

Therefore mC > mB > mA    [∵Angle opposite to greater side is greater]

Thus , mC > mA > mB is correct regarding the angles of the  triangle ABC.

Answer:

C

Step-by-step explanation:

The interior angles of a regular polygon each measure 165 degrees. how many sides does the polygon have

Answers

(N-2)x180/N = 165
180N - 360 = 165N
15N = 360
N = 24 sides of the regular polygon.
Final answer:

If a regular polygon has interior angles each measuring 165 degrees, the polygon has 24 sides. This is calculated by using the formula to find the number of sides in a regular polygon, given the angle size.

Explanation:

To find out how many sides a regular polygon has, based on the size of its interior angles, you can use the formula to calculate the sum of the interior angles of a polygon:

n

= 180(

n

- 2), where

n

is the number of sides.

However, this formula gives the sum of the interior angles as a whole. Since, in a regular polygon, all angles are equal, you can then divide this sum by the known size of each angle.

So the specific formula to calculate the number of sides of a regular polygon, given the angle size, is:

n

= 360 / (180 -

angle size

).

In this case, you can substitute the angle size of 165 degrees into this formula:

n

= 360 / (180 - 165) = 360 / 15 = 24.

So a regular polygon with interior angles each measuring 165 degrees has 24 sides.

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Which of the following describes the location of the opposite of the number that R represents on this line?

Answers

your answer is B. At a distance of 6 tick marks above 0 , Im sure
first one i think. ok have a nice day plz rate me.

Coffee with sugar and milk added to it can contain up to calories.

Answers

This question depends on many variables. Such as the type of coffee, the milk type and the type of sugar. If you were having a regular coffee with regular cream and sugar then the average calorie count would be around 100. If you were having a more fancier and complex coffee then it would be higher in calories.

I hope this helps!

I am four times as old as my brother and in two years time i will be just three times as old. in how many years will i be twice as old as my brother?

Answers

In 8 years you will be twice as old as your brother.

Right now, your brother is 4 years old, and 4 x 4 is 16, so you are 16.
In two years, your brother would be 6, and you would be 18, making you 3 times as old.

So, in 8 years, your brother will be 12 years old, making you 24. 12 is half of 24.
Final answer:

To solve the problem, set up and solve an algebraic equation. Find the value of x, then use it to determine the number of years it will take for you to be twice as old as your brother.

Explanation:

To solve this problem, we can use algebraic equations. Let's assume the age of your brother is x. Since you are four times as old as your brother, your age would be 4x. In two years, your age would be 4x + 2, and your brother's age would be x + 2. According to the problem, 4x + 2 = 3(x + 2). We can solve this equation to find x, and then determine the number of years it will take for you to be twice as old as your brother.

By simplifying the equation, we get 4x + 2 = 3x + 6. Subtracted 3x from both sides, we get x + 2 = 6. Subtracting 2 from both sides, we get x = 4.

So, your brother's age is currently 4 and your age is currently 16. To determine the number of years it will take for you to be twice as old as your brother, we need to find the value of y that satisfies the equation 2(4 + y) = 16 + y. By solving this equation, we'll find that it will take 8 years for you to be twice as old as your brother.

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A fish swims at a speed of 12 miles per hour. A boy swims at a speed of 4.4 feet per second.
3ft= 1yd
5280ft= 1mi
How much faster does the fish swim than the boy in yards per minutes?

Answers

Final answer:

The fish swims 264 yards per minute faster than the boy.

Explanation:

To find out how much faster the fish swims than the boy in yards per minute, we first need to convert both speeds to yards per minute. Since 3 feet is equal to 1 yard, we can convert the fish's speed of 4.4 feet per second to yards per minute by multiplying it by (3 feet/1 yard) × (60 seconds/1 minute) = 4.4 × 3 × 60 yards per minute = 792 yards per minute. Similarly, the boy's speed of 12 miles per hour can be converted to yards per minute by multiplying it by (5280 feet/1 mile) × (1 yard/3 feet) × (1 hour/60 minutes) = 12 × 5280/3/60 yards per minute = 1056 yards per minute.

To find out how much faster the fish swims than the boy, we subtract the boy's speed from the fish's speed: 792 - 1056 = -264 yards per minute. Therefore, the fish swims 264 yards per minute faster than the boy.

Which function represents the number if seats in a theater with n rows?

Answers

The number of seats in the theater can be calculated by multiplying the number of seats in each row by the number of rows. In this item, we are not given the number of seats present in each row. For the purpose of representation in this item, we let S be the number of seats in each row such that the total number of seats,

     Total number of seats = (number of rows)(number of seat / row)
     Total number of seats = nS = Sn

Ivan has 6 times as many blue beads as red beads. He has 4 red and blue beads in all. How many blue beads does Ivan have?

Answers

Do you mean 49 beads in all
If so the answer is 42 beads.
It gotta be 24 because it says as many which means multiply by 6 and 4 which is 24 !!

The 26-oz jar of chocolate fudge costs $3.12. The 16-oz jar costs $2.40. How much can you save on each ounce by choosing the better buy?

Answers

the 26 jar is $0.12 per oz and the 16 jar is $0.15 per oz. I think the answer is you save $.03 by buying the 26 oz jar.

Solve the equation.

–3x + 1 + 10x = x + 4

x = 1/2
x = 5/6
x = 12
x = 18

Answers

Answer:

x = 1/2

Step-by-step explanation:

-3x +1 +10x = x + 4

7x + 1 = x + 4

6x + 1 =4

6x = 3

x = 3/6

x = 1/2

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x in the equation -3x + 1 + 10x = x + 4 is 1/2.

x = 1/2

Option A is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 6 is an equation.

3x + 4 = 6 is an equation.

x + 5 is an equation.

3x + 4x + 5 is an equation.

We have,

The equation:

-3x + 1 + 10x = x + 4

We will solve for x.

Add 3x on both sides.

1 + 10x = x + 4 + 3x

1 + 10x = 4x + 4

Subtract 4x on both sides.

1 + 10x - 4x = 4

1 + 6x = 4

Subtract 1 on both sides.

6x = 4 - 1

6x = 3

Divide 6 on both sides.

x = 3/6

x = 1/2

Thus,

The value of x in the equation -3x + 1 + 10x = x + 4 is 1/2.

x = 1/2

Option A is the correct answer.

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I will mark the correct answer as brainliest! A piece of fabric 180 inches long is cut in 2 pieces such that 3 times the larger piece is greater than 4 times the smaller piece. How large are the 2 pieces. Also please give details if possible

Answers

let one piece be x inches long then the other piece is  180-x inches long.

3x > 4 (180-x)
3x > 720 - 4x
7x > 720

x > 103 6/7 ins

the 2 pieces could be 107 inches and 180-107 = 73 inches

The length of the larger piece lies in the interval [102.85 , 180) and the length of the smaller piece lies in the interval [0 , 77.15]

What is an interval?

In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between.

Given here, that 3 times the larger piece is greater than 4 times the smaller piece. let the length of the larger piece be x and length of the smaller piece be 180-x,  then we get the following inequality-

3x >  4(180-x)

3x>720-4x

7x>720

x>102.85

therefore 102.85≤ x <180

Hence, the larger piece lies in the interval [102.85 , 180) and the length of the smaller piece lies in the interval [0 , 77.15]

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What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ?

Enter your answer in the box. Do not round any side lengths.

Answers

The coordinates of the rectangle are (-3,-1), (1,3), (3,1) and (-1,-3).

Draw the given rectangle as shown in the figure below.

Calculate the length of the rectangle as
a = √(4² + 4²) = 4√2
Calculate the width of the rectangle as
b = √(2² + (-2)²) = 2√2
Calculate the area of the rectangle as
A = a*b = (4√2) * (2√2) = 16

Answer: 16

Find the 30th term in the sequence: 18,15,12

Answers

Since it is going down a constant rate (-3) keep subtracting 3 until you get to the 30th term.
hmmm 18, 15, 12?   what's going on?  wait a second, 15 is 18-3, and 12 is 15 -3, so... to get the next number is really just subtracting 3 from the current one, meaning, is an arithmetic sequence, the first term's value is 18, and the common difference is -3.

now, what is the 30th term anyway?

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=18\\ d=-3\\ n=30 \end{cases} \\\\\\ a_n=18+(30-1)(-3)\implies a_{30}=18+(30-1)(-3) \\\\\\ a_{30}=18-87\implies \boxed{a_{30}=-69}[/tex]


Jackson purchased some power tools totaling $1,543 using a six month deferred payment plan with an interest rate of 23.76%. He did not make any payments during the deferment period. What will the total cost of the power tools set be if he must pay off the power tools within two years after the deferment period?
$1,543.00
$1,735.63
$2,197.44
$2,746.80

Answers

The total cost of the power tools set if Jackson must pay off the tools within two years after the deferment period is  $2,644.82.

To find the total cost of the power tools set after the deferred payment period, we need to consider both the initial cost of the tools and the interest accrued during the deferment period and the subsequent payment period.

First, let's calculate the interest accrued during the deferment period:

Interest = Principal × Rate × Time

Interest = $1,543 × 23.76% × (6/12)   (since the deferment period is 6 months)

Interest = $1,543 × 0.2376 × 0.5

Interest = $183.78

Now, add this interest to the initial cost of the power tools:

Total cost after deferment = Initial cost + Interest

Total cost after deferment = $1,543 + $183.78

Total cost after deferment = $1,726.78

Next, we need to calculate the total amount Jackson must pay off within two years after the deferment period. This includes the principal amount and the interest accrued during the payment period. We'll use the formula for calculating the total payment for a loan with compound interest:

[tex]\[A = P(1 + r/n)^{nt}\][/tex]

Where:

A = Total amount to be paid

P = Principal amount (initial cost after deferment)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Time in years

In this case, we'll compound interest annually, so (n = 1), and (t = 2) years.

[tex]\[A = $1,726.78(1 + 0.2376/1)^{1*2}\][/tex]

[tex]\[A = $1,726.78(1 + 0.2376)^2\][/tex]

[tex]\[A = $1,726.78(1.2376)^2\][/tex]

[tex]\[A = $2,644.82\][/tex]

So, the total cost of the power tools set if Jackson must pay off the tools within two years after the deferment period is  $2,644.82.

the total amount of money (in cents) in x nickels, (x+2) quarters, and 3x dimes. total amount is? please help!!!!

Answers

Final answer:

To find the total amount of money in nickels, quarters, and dimes, we need to add the value of each coin together. In this case, the total amount of money is represented by the expression 60x + 50 cents.

Explanation:

To find the total amount of money, we need to determine the value of each coin in cents. A nickel is worth 5 cents, a quarter is worth 25 cents, and a dime is worth 10 cents.

The total amount of money in x nickels is 5x cents. The total amount of money in (x+2) quarters is 25(x+2) cents. The total amount of money in 3x dimes is 30x cents.

Adding these values together, we can find the total amount of money:

Total amount of money = 5x + 25(x+2) + 30x cents Now, simplify the expression:

Total amount of money = 5x + 25x + 50 + 30x cents

Total amount of money = 60x + 50 cents

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1. The graph of the function B is shown below. Find B(1).
A. -1
B. 1
C. 2

It is NOT B... it's either A or C!

Answers

ANSWER

The correct answer is C

EXPLANATION

[tex]B(1)[/tex]
is just the y-value of the point where
[tex]x = 1[/tex]

That is, the image of 1.

If we were given the function
[tex]B(x)[/tex]
,we would have plug in 1 to find
[tex]B(1).[/tex]

Since the function is not given, we were given the graph so that we trace
[tex]B(1)[/tex]
from it.

So we read from the grid to find that y-value .

Each grid is one unit. So moving one unit on the x-axis and two units on the y-axis will give us the point

[tex](1,2)[/tex]

This means that,

[tex]B(1) = 2[/tex]

Answer:ANSWER

The correct answer is C

EXPLANATION

is just the y-value of the point where

That is, the image of 1.

If we were given the function

,we would have plug in 1 to find

Since the function is not given, we were given the graph so that we trace

from it.

So we read from the grid to find that y-value .

Each grid is one unit. So moving one unit on the x-axis and two units on the y-axis will give us the point

This means that,

ANSWER The correct answer is C EXPLANATION [tex]B(1)[/tex] is just - 1

Step-by-step explanation:

Solve the equation for y
-x+y=0

Answers

The answer to this equation is y=x
Answer: y=x

Explanation: In order to solve for y, you must isolate it. To isolate it in this equation, you add x to both sides to get rid of the x on the y's side. This gives you your final answer: y=x

Simplify negative 15.5 divided by 5..
-3.1
3.1
-3.3
3.3

Answers

negatve divided by a positive gives a negative result

The answer is -3.1
Answer: -3.1

this was correct on my test, hope it helps! ;)

(Brainliest would help a lot btw)

julia knows 19 latin words. Each day, she learns 6 new words. How many days until she knows 145 words?

Answers

19 + 6x = 145
subtract 19 from both sides.

6x = 126
divide both sides by 6.

x = 21

21 days until she knows 145 words.

Number of days Julia took to learn 145 word is 21 days.

Given that, Julia knows 19 latin words. Each day, she learns 6 new words.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of days be x.

Here, 145-19=126

Number of days = 126/6

= 21

Therefore, number of days Julia took to learn 145 word is 21 days.

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