Figure abcd is a square. Find the measure of < ABE

Answer:

x = -4, y = 1/3

Step-by-step explanation:

=> x = 3y-5        (Equation 1)

=> 2x+12y = -4  (Equation 2)

Putting (1) in (2)

=> 2(3y-5)+12y = -4

=> 6y-10+12y = -4

=> 18y = -4+10

=> 18y = 6

Dividing both sides by 18

=> y = 6/18

=> y = 1/3

Putting y = 1/3 in Equation 1

=> x = 3(1/3)-5

=> x = 1-5

=> x = -4

Answer:

a. $4.00

b. $20.00

c. $ 5000

Step-by-step explanation:

a. The given information are;

The number of tickets sold = 2000

The price of tickets sold = $24

The number extra tickets sold per decrease in price = 125

Let the number of tickets sold = y

The price of each ticket = x

Therefore, given that the fund-raising coordinator estimates that the number of tickets sold vary proportionately with the price of the ticket, we have a linear relationship of the form;

y = mx + c

Where:

m = The slope which is change in y divided by change in x

Change in y = 125

Change in x = -1

m = 125/(-1) = -125

Where the change in y = y - 2000 and change in x = x - 24

we have for a linear straight line relation;

(y - 2000)/(x - 24) = m

Which gives

y - 2000 = -125(x - 24)

y - 2000 = -125·x + 3000

y  = -125·x + 3000 + 2000 = -125·x + 5000

The revenue = Price × Quantity sold = x × y

Where y = -125·x + 5000, we have

Revenue = x×(-125·x + 5000) = -125·x² + 5000·x

The maximum revenue occur at the point where the slope of the revenue = 0, which is d(yx)/dx =d(-125·x² + 5000·x)/dx = -250·x +5000 = 0

x = -5000/(-250) = 20

Therefore, the price that gives maximum revenue = $20 which is a decrease of $24 - $20 = $4.00

b. The price that will maximize the revenue = $20

c. The quantity sold at maximum revenue = -125 × 20 + 5000 = 2500

The maximum revenue = 2500 × 20 = $5000.00

Answer:

Geometric Sequence

Step-by-step explanation:

Since we are multiplying each successive term by common ratio r of -2, we have our sequence:

[tex]a_n = 2.4(2)^{n-1}[/tex]

Answer:

They're multiplied by -2.

Step-by-step explanation:

If we analyze the terms in the sequence, we can see that the numbers are alternating between positive and negative values. So, the terms in the sequence have to do with multiplication and division instead of addition and subtraction.

In order to find out how much each value was multiplied, we need to divide.

-4.8 / 2.4 = -48 / 24 = -2

9.6 / -4.8 = 96 / -48 = -2

-19.2 / 9.6 = -192 / 96 = -2

All of the terms appear to be multiplied by the same term: -2. So, the relationship between the successive terms in the sequence shown is that they are all multiplied by -2.

Hope this helps!

Hi

I am new here

Answer: 1.25

Step-by-step explanation: This symbol is multiplication (*) so Multiply 5 by 0.25 you will get 1.25

Hope it helps you

Answer:

Hello!

________________________

5 x 0.25 = 1 .25

Step-by-step explanation: Multiply 5 by 0.25 and you'll 1.25.

Hope this helped you!

:D

Answer:

  320°

Step-by-step explanation:

Part 1

The arc length is given by ...

  s = rθ . . . . . r is the radius, θ is the central angle in radians

We want to find θ, so we can fill in the given values and divide by the coefficient of θ.

  8π = 4.5θ

  θ = 8π/4.5 = 16π/9 . . . radians

Since π radians = 180°, the degree measure of the angle is ...

  θ = (16/9)180° = 320°

The measure of the angle subtended by the arc is 320°.

_____

Part 2

We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.

Answer:

10π

Step-by-step explanation:

Circumference formula is : 2πr

So if you put r into this formula, it will be: 2π5

Now, you can multiply 2 by 5 to get 10, leaving you with 10π

Answer:

10 π

Step-by-step explanation:

The formula for circumference is C=2 πr, where r is radius, so if we do C=2 π(5), we get C=10 π

Answer: Taking a poll of how many calls someone took anonymously and randomly choose 100 people

Step-by-step explanation:

Answer:

licensed drivers who own cell phones

Step-by-step explanation:

licensed drivers who own cell phones

Answer:

1 : 6

Step-by-step explanation:

3 : 18

3 ÷ 3 : 18 ÷ 3

1 : 18 ÷ 3

1 : 6

Answer:

n=6

Step-by-step explanation:

3:18

1:6

3/1=3

18/3=6

Answer:

335.5. Is there not a symbol that goes in the middle of the two brackets?

Step-by-step explanation:

Answer:

Hello!

_____________________

(3.5+2)(345-4)= 1875.5

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Step-by-step explanation:

4×10×2=80

20×10×1=200

20×8×1=160

20×10×1=200

2×20×1=40

10×2×2=40

80+200+160+200+40+40=720

Answer:

52.02 ft

Step-by-step explanation:

We can use equation tan θ = opposite/adjacent   to solve for the opposite side x.

tan40° = x / 62

62tan40° = x

x = 52.02 ft

The solution is Option A.

The height of the tree is given by x = 52.02 ft

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Let the height of the triangle ABC be = x

Now , the base of the triangle ABC is BC = 62 feet

The angle of elevation is θ = 40°

Now , the height of the tree is the height of the triangle ABC and is given by the trigonometric relation ,

tan θ = opposite / adjacent

Substituting the values in the equation , we get

tan θ = x / 62

tan 40° = x / 62

Multiply by 62 on both sides of the equation , we get

x = tan 40° × 62

x = 0.83909963117 × 62

The value of x = 52.024 feet

Therefore , the value of x is 52.02 feet

Hence , The height of the tree is given by x = 52.02 ft

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Answer:

×-10×+21=0

FACTORIZATION of splitting the middle term

Answer:

[tex]-4x^3 - 32x[/tex]

Step-by-step explanation:

We can multiply -4x by both terms inside the parentheses.

[tex]-4x \cdot x^2 = -4x^3[/tex]

[tex]-4x \cdot 8 = -32x[/tex]

Hope this helped!

Answer:

-4x^3-32x

Step-by-step explanation:

-4x(x^2+8)=

-4x^3-32x

Answer:

7

Step-by-step explanation:

Answer:

area: 27

Step-by-step explanation:

Sides: a = 10.296   b = 14.213   c = 6

The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).

Answer:

its x in the first equation! (a)

Step-by-step explanation:

I just took the test. I used the other answer but it was wrong :( BUT  you can trust me :)    

Answer:

A: The easiest to solve for is x in the first equation.

Step-by-step explanation:

The X in the first equation is the only one without a coefficient.

Answer:

5(6x+3y) is equalivent to 30x+15y

Answer:

30x+15y

Step-by-step explanation:

distributive property

Answer:

The correct answer is Yes, because there is enough water in the cooler for about 81 cups total which is C.

Step-by-step explanation:

The water available, (approximately 81 cups) is more than the number of cups required (76 cups). Therefore, option C is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a cylindrical cooler that has a radius of 6 inches and a height of 20 inches.

Here, volume of cylindrical cooler =πr²h

= 3.14×6²×20

= 3.14×36×20

= 2260.8 cubic inches

A cone has a dimensions diameter 4.4 inches and height 5.5 inches.

Here, volume of cup = 1/3 πr²h

= 1/3× 3.14×(4.4/2)²×5.5

= 28 cubic inches

So, number of cups = 2260.8/28

= 80.74

≈ 81

The number of cups required for each of the 38 player to have two full cups is, Cups = 38 × 2 = 76 cups

Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

During practice, the Northwood football team drinks water from a cylindrical cooler that has a radius of 6 inches and a height of 20 inches. Players use conical paper cups, as shown below. A cone has a dimensions diameter 4.4 inches and height 5.5 inches.

If the water cooler is filled completely, can each of the 38 players have two full paper cups of water during practice? Explain 4.4 in.

A) No, because there is enough water in the cooler for about 3 cups total.

B) No, because there is enough water in the cooler for about 59 cups total 5.5 in.

C) Yes, because there is enough water in the cooler for about 81 cups total.

D) Yes, because there is enough water in the cooler for about 2,261 cups total.

Answer:

c

Step-by-step explanation:

Answer:

cD /100

Step-by-step explanation:

Change the percent to a fraction

c% = c/100

Multiply by the sale

D * c/100

cD /100

Answer:

Hey there!

First, do you mean simplify? I can't solve an equation if there isn't a equal sign.  If you want me to solve this, check if you have properly typed your question- Thanks!

Here is how you should simplify:

Given expression.

-3x-7(x+4)

Distributive property.

-3x-7x-28

Combine Like Terms

-10x-28

Your final answer should be -10x-28

Hope this helps :)

━━━━━━━☆☆━━━━━━━

▹ Answer

-10x - 28

▹ Step-by-Step Explanation

-3x - 7(x + 4)

-3x - 7x - 28

-10x - 28

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

f(2)= 0 and g(-2) = 0 is the answer

Step-by-step explanation:

if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y

f(x)=(2) and once again y=0

so the third option is the answer if im seeing this correctly.

f(2)=0 and g(-2)=0

parallel line so gradient stays the same at 25x

y=25x+c

substitute in the point

-7= 25(2) +c

-7 = 50 + c

(-7)-50= -57

y=25x-57

hope this helps!

The equation of the line in slope intercept form is y = 25x + 177.

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The equation is y = 25x−12 -------- (1)

The point is (−7,2)

The general form of equation of line in slope intercept form is

[tex]y=mx+c[/tex]

On comparing this equation with equation, we get

slope, m = 25

The given line is parallel to the equation of line, so slope is same.

The line passes through the point (x1, y1) is (−7,2).

Thus the equation of line in slope intercept form is

[tex]y-y1=m(x-x1)[/tex]

⇒ [tex]y-2=25(x-(-7))[/tex]

⇒ [tex]y-2=25(x+7)[/tex]

⇒ [tex]y-2=25x+175[/tex]

⇒ [tex]y=25x+175+2[/tex]

⇒ [tex]y=25x+177[/tex]

Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.

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A) Relative frequency is number of times an event happened over total number of events:

Answer is 21/50 = 0.42

B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50

C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.

Answer:

64800

Step-by-step explanation:

you will multiply 60 by 18m to get how much you go in a minute. and then you multiply that by 60 again to get how much you go in an hour.

Answer:

64800

Step-by-step explanation:

18x60= 1080

1080x60= 64800

Answer:

5 red, 5 yellow, and 4 blue

Step-by-step explanation:

Answer:

5 red, 5 yellow, and 4 blue :)

Step-by-step explanation:

Answer:

B. (3,-1)

Step-by-step explanation:

Well we have to find the ordered pair that is in the blue.

So let’s look at all the choices.

A. (-4,2) this is on the point where both lines connect but it is not a solution.

B. (3,-1) this is in the blue so it is correct.

C. (-3,4) it is in the white so it is not correct.

D. (-2,-1) This is completely out of the blue so it it wrong.

So B. (3,-1) is the correct answer.

Answer:

C

Step-by-step explanation:

in order of containment it goes

Quadrilaterals

Parallelograms and trapezoids

kites rhombuses and rectangles

squares

Answer:

Hey there!

All parallelograms are four sided shapes, also called quadrilaterals.

Hope this helps :)

Answer:

$2350.69

Step-by-step explanation:

Well first we need to find the amount of square yards and to do that we find the area.

So 15 3/4 * 3 is 47.25 yards^2.

And concrete is 49.75 per square yard so we do 49.75 * 47.25 = 2350.6875.

So it will cost about $2350.69 rounded to the nearest hundredth.