What is the exact length of EC?

A. 4√29/7 Feet
B.√164 Feet
C. 4√5 Feet
D. 2√41 Feet

Answer:

Step-by-step explanation:

You want to identify the expressions equivalent to 11x -4x +6x and 3(1 +9y).

We can identify the equivalent expressions by putting them all in their simplest form. This means using the distributive property to eliminate parentheses, and combining like terms.

The simplified version of the given expression is ...

  (11 -4 +6)x = 13x

The other expressions simplify to ...

  7x +6x = (7+6)x = 13x . . . equivalent

  7x -6x = (7 -6)x = 1x = x . . . not equivalent

  13 +x (already simplest) . . . not equivalent

  13x (already simplest) . . . equivalent

The simplified form of the given expression is ...

  3·1 +3·9y = 3 + 27y

The other expressions simplify to ...

  3 +1·3 +9y = 6 +9y . . . not equivalent

  3 +27y . . . equivalent

  3·1 +3·9y = 3 + 27y . . . equivalent

  3 +9y (already simplest) . . . not equivalent

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Using it's concept, it is found that there is a 0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that 13 out of 28 students did not earn an A on the final course, and 21 out of 28 students did not earn an A for the entire course, hence:

[tex]p = \frac{13}{28} \times \frac{21}{28} = 0.3482[/tex]

0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.

More can be learned about probabilities at https://brainly.com/question/14398287

Step-by-step explanation:

P×R×T/100

39.50×11×0.5/100

195.25/100

1.9525

Answer:

$2.22

Step-by-step explanation:

First, we know that the cost of one mailing letter is $0.23 per once, plus $0.14.

Our formula is: c = 0.23w + 0.14

Let's rewrite our variables to the way it's suppsed to be.

C = cost

W = weight ounces.

Now, we have to add 0.23 plus 0.14 to get our cost.

That equals 0.37.

Now that we know that our cost for one letter is 0.37, we have to multiply

it by 6, because we are trying to figure out the cost of mailing a 6 ounce letter.

0.37 × 6 = 2.22

In conclusion, the cost of mailing a 6 ounce letter is $2.22

Answer:

Charges of Turkey is $6.25

Charges of French Fries is $1.90

Step-by-step explanation:

Given

Represent Turkeys with T and French Fries with F;

[tex]4T + 7F = 38.3[/tex]

[tex]5T + 5F = 40.75[/tex]

Required

Determine the values of T and F

[tex]5T + 5F = 40.75[/tex]

Divide through by 5

[tex]T + F = 8.15[/tex]

Make F the subject

[tex]F = 8.15 - T[/tex]

Substitute 8.15 - T for F in the first equation

[tex]4T + 7F = 38.3[/tex]

[tex]4T + 7(8.15 - T) = 38.30[/tex]

[tex]4T + 57.05 - 7T = 38.30[/tex]

Collect Like Terms

[tex]4T - 7T = 38.30 - 57.05[/tex]

[tex]-3T = -18.75[/tex]

Solve for T

[tex]T = -18.75/-3[/tex]

[tex]T = 6.25[/tex]

Recall that:

[tex]F = 8.15 - T[/tex]

[tex]F = 8.15 - 6.25[/tex]

[tex]F = 1.90[/tex]

Answer:

y= -6x - 15

Step-by-step explanation:

First you need to plug in the x and y coordinates into the equation y = -6x and you should get (-3) = -6(-2). Then you do -6 x -2 which is 12 then subtract 12 from -3 and get -15.

Just took the exam and the answer is c :)

Answer:

Hey there!

9) Answer: D. :---- (x +8)(x-8)

10) Answer: P. :------(x-2y)^2

11) Answer: D. :-----(2a+3b)*(2a-3b)

12) Answer: P. :-----(a+4b)^2

13) Answer: P. :-----(x-3)^2

14) Answer:. D. :----(5xy+9z)*(5xy-9z)

15) Answer: P. :-----(2a+1)^2

16)Answer: D. :---(4ab+5)*(4ab-5)

Answer:

3, 4, and 5, i think

Step-by-step explanation:

because its continious and the other ones arent

Answer:

2,3,5, and 6

Step-by-step explanation:

Answer:

First multiply 30.75 by 0.06 to get a total of about 1.85 . Then and 1.85 to 30.75 to get 32.60.

Step-by-step explanation:

Hope that helps!

Answer:

The pyramid consists of 4 triangles having bases of 3 km and height of 4 km (measured along the face)

A = 4 * 3 / 2 * 4 = 24 km^2

Each triangle has an area of 1/2 * bottom length * height

3 cannot refer to the length of one of the isosceles triangles because a slant height of 4 km is given and is less than one such side

The surface area of the square pyramid is 24 km².

The surface area of a square pyramid with a slant height can be determined by the product of the base perimeter with the slant height divided by two.

Mathematically, it can be expressed as:

Surface Area S.A = P × l/2

where;

Surface Area (S.A) = 12 × (4/2)

Surface Area (S.A) = 24 km²

Learn about calculating the surface area of a square pyramid here:

https://brainly.com/question/22744289

#SPJ6

Answer:

Step-by-step explanation:

When the balloons collide, they have the same x and y:

-3x^2 + 24x + 3 = y = -4x^2 + 25x + 15

Rearranging like terms together:

(4x^2 - 3x^2) + (24x - 25x) + (3 - 15) = 0

x^2 - x - 12 = 0

(x - 4)(x +3) = 0

x = 4 or -3

As x represents time, it cannot be negative.

The time when the balloons collide is at 4.00 seconds.

The collision means that y is equal

So

As it's time so must be positive

Step-by-step explanation:

since x=3

1. substitute into the equation

g(3) = 1/5 x (1/3)^3

2. solve

g(3) = 1/5 x (1³/3³)

= 1/5 x (1/27)

= 1/5 x 1/27

= 1/135 (0.00740740741)

Answer:

App. percent decrease of 29.41%

Step-by-step explanation:

60-85/85=0.2941- 29.41%

Answer:

B $13,660.27

Step-by-step explanation:

Step-by-step explanation:

just add all the given angles and equate it with 540° and then find x

x/2 + x/2 + x - 25 + 100 + x - 15 = 540°

3x + 60 = 540°

3x = 540 - 60

x = 480/3

x = 160°

on checking, the given shape values of x-25 and x - 15 are both still obtuse angles thus the answer is correct.

1/2(2 + 8)(4) and (2 + 3)(4)

area of trapezoid:

[tex]\sf \dfrac{1}{2} (a + b) *h[/tex]

Here:

So area of this trapezium:

[tex]\sf \dfrac{1}{2} (2 + 8) *4[/tex]

[tex]\sf 20 \ units[/tex]

area of rectangle:

length * width

5 * 4

20 units²

Area of trapezoid:-

Put the values

Answer:

The answer to the question is 5:3:4

Answer: x > [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

-4x + 5 < -5

Subtract 5 from both sides

-4x < - 10

Divde each side by -4

x < -10 / -4

Dividing each side by a negative number flips the inequality

x > - 10 / -4

- 10 / -4 = 10 / 4 = 5/2

x > 5/2

Answer:

-4x+5<-5

-4x<-5-10

-4x<-15

-4x/-4>-15/-4

x>15/4

The relationship between the variables x, y and z is an illustration of similar triangles

The values of x, y and z are 6, [tex]\sqrt{117}[/tex] and [tex]\sqrt{52[/tex]

Right triangles are triangles with an angle measure of 90 degrees, and we have the following equivalent ratio from the triangle

[tex]x : 9 = 4 : x[/tex]

Express as fraction

[tex]\frac x9 = \frac 4x[/tex]

Cross multiply

[tex]x^2 = 36[/tex]

Take the square root of both sides

[tex]x = 6[/tex]

The value of y is then calculated using the following Pythagoras theorem

[tex]y = \sqrt{9^2 + x^2[/tex]

This gives

[tex]y = \sqrt{9^2 + 6^2[/tex]

[tex]y = \sqrt{117[/tex]

The value of z is then calculated using the following Pythagoras theorem

[tex]z = \sqrt{4^2 + x^2[/tex]

This gives

[tex]z = \sqrt{4^2 + 6^2[/tex]

[tex]z = \sqrt{52[/tex]

Hence, the values of x, y and z are 6, [tex]\sqrt{117}[/tex] and [tex]\sqrt{52[/tex]

Read more about triangles at:

https://brainly.com/question/17972372

Answer:

-2.9, -2 3/5, -2.4

Step-by-step explanation:

Convert 3/5 in -2 2/5 to a decimal (3/5x2=6/10=0.6)

Sort it from least to greatest (-2.9, -2 3/5, 2.4)

Answer:

$90

Step-by-step explanation:

We use the simple interest formula,

I = Prt

where

I = interest

P = principal amount = $500

r = interest rate = 6% = 0.06

t = time = 3 years

I = Prt

I = $500 × 0.06 × 3

I = $90

l = a x w

Hes trying to find lenth so the equal we be getting a and w's attention

Answer:

She will receive 22% commission

Step-by-step explanation:

18% commission when the profit on a car is under $400

22% when the profit is at least $400 and less than $1,000

24% when the profit is $1,000 or more.

How much will she receive if she sold $800 in profits?

She will receive 22% commission

$800 profits is greater than $400 but less than $1000

Answer:

The graph is compressed horizontally by a factor of 2, shifted left 3, reflected over the x-axis, and translated up 3.

Step-by-step explanation:

Answer:

Dude where is your picture?

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

Common difference  = 2nd term - 1st term

                                   = 6.1 - 6.05

                                   = 0.05

Answer:

4x8x4x1x67 it's that cuz I learned

Answer:

g(x) = - 16x² + 4

Step-by-step explanation:

Given the model:

First drop:

h(x) = - 16x² + 64

Second drop hits the ground 1.5 seconds sooner

Function g(x) to model the second drop:

-16t² + V0t + h0

h(x) = - 16x² + 64

0 = - 16x² + 64

16x² = 64

x² = 64/16

x = 2

1.5 seconds sooner :

X = 2 - 1. 5

x = 0.5

0 = - 16(0.5)² + 0 + h0

0 = - 4 + h0

h0 = 4

Hence,

g(x) = - 16x² + 4

Answer:

Move all terms not containing

x

to the right side of the inequality.

Inequality Form:

x > 48

Interval Notation:

(48,∞)

Hope this helps