17.
A quadrilateral has the following vertices on a coordinate plane:
Point J: (3-6)
Point K(-1,-6)
Point L:(-1,2)
Point M: (3, 2)
Enter the length of side JK.
units

Answer:

126 square inches

Step-by-step explanation:

The area of the figure = area of the parallelogram + area of the square + area of the rectangle

✔️Area of the parallelogram = b*h

b = 10 in.

h = 3.5 in.

Area = 10*3.5

Area = 35 in.²

✔️Area of the square = s²

s = 4 in.

Area = 4²

Area = 16 in.²

✔️Area of the rectangle = L*W

L = 12.5 in.

W = 6 in.

Area = 12.5*6

Area = 75 in.²

✅Area of the figure = 35 + 16 + 75

= 126 in.²

Answer:

The series is convergent.

Step-by-step explanation:

1/4 + 1/8 + 1+12 + 1/16 + 1/20

In each term, the numerator stays 1, while the denominator is multiplied by 4. Thus, the series is given by:

[tex]\sum_{n=1}^{\infty} \frac{1}{4n}[/tex]

Convergence test:

We compare the sequence of this test, [tex]f_n = \frac{1}{4n}[/tex], with a sequence [tex]g_n = \frac{1}{n}[/tex].

If [tex]\lim_{n \rightarrow \infty} \frac{f_n}{g_n} \neq 0[/tex], the series is convergent. So

[tex]\lim_{n \rightarrow \infty} \frac{f_n}{g_n} = \lim_{n \rightarrow \infty} \frac{\frac{1}{4n}}{\frac{1}{n}} =  \lim_{n \rightarrow \infty} \frac{n}{4n} = \lim_{n \rightarrow \infty} \frac{1}{4} = \frac{1}{4} \neq 0[/tex]

As the limit is different of zero, the series is convergent.

Answer:

P ( snowboard I ski)​ = 0.5714

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Ski

Event B: Snowboard.

28 out of 120 students ski:

This means that [tex]P(A) = \frac{28}{120} = 0.2333[/tex]

16 out of 120 do both:

This means that [tex]P(A \cap B) = \frac{16}{120} = 0.1333[/tex]

P ( snowboard I ski)​

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1333}{0.2333} = 0.5714[/tex]

So

P ( snowboard I ski)​ = 0.5714

Answer:

The growth factor for the annual rate of change of 15% is 1.15.

The decay factor for the annual rate of change of -30% is 0.7.

The decay factor for the annual rate of change of -70% is 0.3.

The growth factor for the annual rate of change of 100% is 2.

Step-by-step explanation:

Growth or decay factor:

The growth factor is 1 + r, r as a decimal.

The decay factor is 1 - r, r as a decimal.

For the annual rate of change, find the corresponding growth or decay factor: +15%

r = 0.15, so 1 + 0.15 = 1.15.

The growth factor for the annual rate of change of 15% is 1.15.

For the annual rate of change, find the corresponding growth or decay factor: -30%

r = -0.3, so 1 - 0.3 = 0.7.

The decay factor for the annual rate of change of -30% is 0.7.

For the annual rate of change, find the corresponding growth or decay factor: -70%

r = -0.7, so 1 - 0.7 = 0.3.

The decay factor for the annual rate of change of -70% is 0.3.

For the annual rate of change, find the corresponding growth or decay factor: +100%

r = 1, so 1 + 1 = 2.

The growth factor for the annual rate of change of 100% is 2.

Answer:

6 there are 6 sidessssss

Answer: 24

Step-by-step explanation:

Answer:

The Answer is B

Step-by-step explanation:

If we are looking at money we are looking at the total amount u need to pay and if u are paying 45 a month times whatever x is. 300 would stand for the amount already paid or the down payment made.  

Option B is correct, the best description of the y-intercept of the graph is the amount of the down payment.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

In the given function, y = 45x + 300

x represents the number of months and y represents the total cost of buying new furniture and making monthly payments over that period.

The term 300 is the y-intercept of the graph, which means it is the value of y when x is zero.

Since x represents the number of months, which is zero at the time of purchase, the y-intercept of the graph represents the cost of buying new furniture without making any monthly payments.

Therefore, the best description of the y-intercept of the graph is the amount of the down payment. Option B is correct.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ3

Answer:

(-5,-10)

it is in quadrant 3 (quadrant III)

Step-by-step explanation:

Mark as Brainliest

Answer:

(-5,-10) In Quadrant III

Step-by-step explanation:

When reflecting a point accross the x-axis, the y-coordinate of the point changes signs

Ex. Positive to Negative and vice versa

Therefore, (-5,10) reflected accross the x-axis becomes (-5,-10)

Since both x and y coordinates are negative, the point falls in the third quadrant, or Quadrant III

Answer:

65,937.5

Step-by-step explanation:

Answer:

$65,937.5

Step-by-step explanation:

5.5%× 62500= $3,437.5

$62,500+ $3,437.5= $65,937.5

Answer:

5

Step-by-step explanation:

d² = (-3)² + 4²

d² = 9 + 16

d² = 25

d = 5

Answer:

The magnitude is 5.

Step-by-step explanation:

(I’m going to be using r to represent the magnitude)

r^2= (-3)^2+4^2

r^2= 9+16

r^2= 25

r = 5

Answer: A

Step-by-step explanation:

Answer:

a.30

b.12

i cant figure out the rest i am so sry im

trying to figure it out tho

Answer:

b. po

Step-by-step explanation:

that have been the most part I don't know y avg be yyyy I have a panda but the black on it and I have a panda but the black on

Answer:

4,962

Step-by-step explanation:

Answer:

4 5x4 =20

Step-by-step explanation:

Answer:

wouldn't it be 4?

Step-by-step explanation:

Answer:

1.25π

π/9

-17π/12

-7π/9

5π/12

-5π/3

Step-by-step explanation:

To convert degrees into radians mulitply it by π/180

225/180=1.25

1.25π

20/180=1/9

π/9

-255/180= -17/12

-17π/12

-140/180=-7/9

-7π/9

75/180=5/12

5π/12

-300/180= -5/3

-5π/3

Answer:

<FEB is Acute angle and it's measure is 39°

AFD is a minor arc it's measure is 25°

Answer:

qw

Step-by-step explanation:

w

Answer:50

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-1 and 2 are where the parabola hits the x-axis, or the horizontal line

none of the other options have the x-intercepts at -1 and 2

Answer:

CD = 27

Step-by-step explanation:

Given the triangles are similar then the ratios of corresponding sided are equal, that is

[tex]\frac{CD}{KD}[/tex] = [tex]\frac{CB}{KL}[/tex] , substitute values

[tex]\frac{CD}{9}[/tex] = [tex]\frac{30}{10}[/tex] = 3 ( multiply both sides by 9 )

CD = 27

4  is the maximum number of video games Olivia can buy

Answer:

4 games

Step-by-step explanation:

Find the maximum number of games she bought by dividing 259 by 64:

259/64

= 4.04

Since we can only have a whole number of games, we have to round this down.

4.04

= 4

So, the maximum number of games she can buy is 4.

Answer:

(20+75)/6 < (20+75)/2 < (20+75) × 3 < (20+75) × 4

Step-by-step explanation:

just solve each problem and compare the values.

Answer:

$155

Step-by-step explanation:

If the TV costs $985 and Jasper pays 6 * $190 = 1190 then Jasper pays $1140 - $985 = $155 in interest.

Answer:

155

Step-by-step explanation:

190

×6=1140-985=155

Answer:

717.3

Step-by-step explanation:

717.25

717.3

Hi there!  

»»————-　★　————-««

I believe your answer is:  

717.3

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]n \leq 4\text{ - Round Down}\\n \geq 5\text{ - Round Up}[/tex]

⸻⸻⸻⸻

717.25

⸻⸻⸻⸻

[tex]717.25 \approx\boxed{717.3}[/tex]

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

B. root(130)

Step-by-step explanation:

we have to use the Pythagorean Theorem for this which is

Asquared + Bsquared = Csquared

where A and B are legs of the triangle separated by 45°, and C is the hypotenuse.

we want to find X which is where the hypotenuse is so we're just solving for C.

now we plug in all of the numbers we have into the formula.

7squared + 9squared = Csquared

49 + 81 = Csquared

130 = Csquared

now we take the square root from both sides to cancel out the square on the C.

root(130) = root(Csquared)

root(130) = C

Answer:

A

Step-by-step explanation:

the point is at positive 8 and none of the other answers have positive 8

Answer:

D.108 is correct.

Step-by-step explanation:

6*3 = 18

18*4 = 72

6*6 = 32

72 + 32 = 108

Have a nice day!

Answer:

Can you show us the two expressions?

Step-by-step explanation:

Answer:

4/10 is the same as 40/100

there fore 4/10+40/100=40/100+40/100=

80/100

hope it helps :)

Answer:

80/100

4/5    as reduced fraction

Step-by-step explanation:

4/10 + 40/100

use common denominator of 100

40/100 + 40/100 = 80/100

As a reduced fraction

4/5