What is the length of DE?
2.9 units
7.2 units
12.5 units

• 2k -1 , 7 and 11 are in AP .

• The value of k .

• As we know that , In AP common difference is same .

• b - a = c - b

=> 2b = a + c

Here :

• a = 2k-1

• b = 7

• c = 11

=> 2 (7) = 2k-1+11

=> 14 = 2k+10

=> 2k = 14-10

=> 2k = 4

=> k = 4/2

=> k = 2 .

Hence ,the value of k is 2 .

Hope it will help you.

Regards.

Answer:

x^2 -144

Step-by-step explanation:

Answer:

the answers are the first one and the third one.

A's slope is y = 5.75x + 3

B's slope is y = 5.5x + 4

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

7/6 miles

Step-by-step explanation:

As, Distance for 1 hour = x

For 2 hours = 2 1/3

For 2 hours = 2(x)

So, 2(x)= 2 1/3

2(x)= 7/3

So, x = 7/3 ÷ 2

So x= 7/3 x 1/2

Therefore, x = 7/6

Final answer= 7/6 miles per hour

Answer:

The stock is worth $702.5.

Step-by-step explanation:

Giving the following information:

Present Value= $500

Number of periods  (n)= 3 years

Growth rate (i)= 12%

To calculate the value of the stock today, we need to use the following formula:

FV= PV*(1+i)^n

FV= 500*(1.12^3)

FV= $702.5

The stock is worth $702.5.

Answer:

-2x - 1

Step-by-step explanation:

-2(x-5)-11

We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)

-2(x-5)-11

-2x + 10 - 11

-2x - 1

Answer:

C: (2,3)

Step-by-step explanation:

to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you

Given:

Jack's plan charges a fee of $24 plus $0.08 per minute he talks.

Jill's plan charges a fee of $10 plus $0.15 per minute she talks.

To find:

The equation which is used to determine when Jack and Jill's plans will be the same.

Solution:

Let t be time in minutes.

Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is

[tex]f(t)=24+0.08t[/tex]

Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is

[tex]g(t)=10+0.15t[/tex]

Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].

[tex]24+0.08t=10+0.15t[/tex]

Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].

Answer:

-5

Step-by-step explanation:

Answer:

The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.

Step-by-step explanation:

Answer:

18≤n≤38

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

Answer-24

Step-by-step explanation:

3 x -4 x 2

6 x -4 =

-24

Answer:

5 Minutes

Step-by-step explanation:

If you divide 300 by 60 you get 5.

Answer: 5 MINUTES

Step-by-step explanation:

Answer:

All of the points would be eight places lower in the y value

Step-by-step explanation:

Lets check by putting 8 in the place of x y= 8^2  which equals 64, that means that y equals 64, then do the second equation y = 8^2 - 8 which equals 56, which means y equals 56, 64 minus 56 equals 8 so they have a difference of 8.

Y intercept at -4 and it will be increasing from left to right because it has a positive slope.

Answer:

2/3x-4

Step-by-step explanation:

I’m dumb too

Answer:

opposite half-planes – the two half-planes that are separated by a particular line of the plane. If points Y and Z are in opposite half-planes, the segment joining them must intersect the edge.

Step-by-step explanation:

Answer:

Not enough context.

Step-by-step explanation:

Please give us the full question. How many chocolate chips in a muffin?

Answer:

24π or about 75.4 mm

Step-by-step explanation:

The circumference of a circle is denoted by C = 2πr, where r is the radius.

Here, we see that r = 12, so plugging this in:

C = 2πr

C = 2π * 12 = 24π ≈ 75.4 mm

The answer is thus 24π or about 75.4 mm.

~ an aesthetics lover

Answer:

about 75.36

Step-by-step explanation:

The circumference formula is C=pi times the diameter and the diameter is 24 because it is twice the diameter so 24 times pi.

Answer:

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Step-by-step explanation:

Given;

total number of Mr Moretti's students = 18

number of mechanical pencils for each student = m

total number of mechanical pencils for all the students = 18m

number of regular pencils for each student = 2m

total number of regular pencils for all the students = 18(2m)

The total number of pencils given to all the 18 students by  Mr Moretti is given by;

T = Total mechanical pencils + total regular pencil

T = 18m + 18(2m)

T = 18(m + 2m)

T = 18(3m)

T = 54m

Therefore, based on the expressions above, the correct options include;

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Answer:

18(m+2m)

 18m+18(2m)

54m

Step-by-step explanation:

I took the quiz.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Distribution = Normal

Mean(m) = 66

Standard deviation (σ) = 3 inches

A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66

B.) % horses with height between 60 and 72

Using the relation :

X = 60 ; 72

Z = (x - mean) σ

Z = (60 - 66) / 3

Z = - 6/3

Z = - 2

P(Z < - 2) = 0.0228 (using table)

Z = (72 - 66) / 3

Z = 6/3

Z = 2

P(Z < 2) = 0.9772 (using table)

P(score being between 60 and 72):

0.9772 - 0.0228= 0.9544

C) number of samples = 25

Height less than 63 inches :

Answer:

It is NOT c

Step-by-step explanation:

I clicked c and it was wrong lol.

Answer:

its D

Hope this helps ⊂◉‿◉つ

The amount of interest is 208.74$

Here we have given

Amount (P)=850$

Interest (r)=12.25%

Time (t)=2 years

we have to calculate the simple interest

What is the formula for simple interest?

[tex]I=\frac{PRT}{100}[/tex]

Plug the given value in above formula

[tex]I=\frac{850*12.25*2}{100}[/tex]

Simplify above equation we get

[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]

Therefore the amount of interest is 208.74$

To learn more about the interest visit:

https://brainly.com/question/25793394

Answer:

r = 66

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)

m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then

[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )

r - 10 = 56 ( add 10 to both sides )

r = 66

Answer:

−6347653.25 or 3.0001664, not my style of math but it is definitely one of the two.

Step-by-step explanation:

−1953125 x 325 + 3

−6347656.25 + 3 = −6347653.25

Answer:

3.0001664

Step-by-step explanation:

.

Answer:

20

Step-by-step explanation:

120/6=20

Answer:

y=-4x-4

Step-by-step explanation:

-2,4

4,-20

-20-4 is -24

4--2

6

-24/6 is -4 (slope)

4=-2*-4+b

4=8+b

-4=b (y intercept)

Answer:

30

Step-by-step explanation:

12 + 8 = 20 so that means 50-20= 30 so max is 30 years old

Answer:

48 pages total

Step-by-step explanation:

hope this helps