Solve the equation. 12x – 14 = –2

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:

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: The results ARE NOT significantly HIGH so there IS NOT sufficient evidence to support the claim that most adults would erase all their personal information online if they could.

Step-by-step explanation:

To find 49.5% of 604-

49.5 ÷ 100 = 0.495

0.495 x 604 = 298.98 = 299 (I have rounded to make the estimate easier)

When someone say MOST, it usually means more than half of the total. If I divide 604 by 2 (basically halving it) it gives me 302.

299 is close enough to 302, but even if got 302 as my first result instead of 299, it is still too less to be called MOST. Therefore,

The results ARE NOT significantly HIGH so there IS NOT sufficient evidence to support the claim that most adults would erase all their personal information online if they could.

Hope this helps :)

Answer:

C

∠L and∠Q

Step-by-step explanation:

in the congruence statementit shows

A. JL and PR

JKL≅PQR

THEY MATCH-not this one

B. ∠K and ∠Q

JKL≅ PQR

THEY MATCH-not this one

C.∠L and ∠Q

JKL≅PQR

THEY DO NOT MATCH

D. ∠J and ∠P

JKL≅PQR

THEY MATCH-not this one

Answer: The factorization of  [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]

The factors of [tex]28+56t+28w[/tex] are 28 and 1+2t+w.

Step-by-step explanation:

The given expression : [tex]28+56t+28w[/tex]

To factorize it, we need to find the common factor.

As 56 can be written as 2 x 28.

So, the above expression would become

[tex]28+2\times28t+28w[/tex]

Now, taking 28 as common from all the terms, we will get

[tex]28(1+2t+w)[/tex]

Thus, the factorization of  [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]

And the factors of  [tex]28+56t+28w[/tex] are 28 and 1+2t+w.

Answer:

b&d

Step-by-step explanation:

i did khan on it and got it right

Answer:

y = 2x - 1

Step-by-step explanation:

(3, 5) (5, 9)

slope = (9-5)/(5-3) = 4/2 = 2

y = mx + b

5 = 2(3) + b

-1 = b

y = 2x -1

Answer:

f(x)=2x-1; y=2x-1

Step-by-step explanation:

First we need to find the slope and to do so you use the equation [tex]\frac{y_{1} -y_{2}}{x_{1}-x_{2}}[/tex] .

Plugging in for the values we get (9-5)/(5-3)=4/2=2, which means we have a slope of 2.

Now we just have to find the y-intercept, and to do this we multiply the x-value by the slope (2) and see what we have to add to that to get the y-value.

For example, 5*2=10, 10-1=9, so -1 is our y-intercept.

This means our equation in slope-intercept form is y=2x-1 and in function form is f(x)=2x-1

Answer:

[tex]\boxed{\red{ \frac{11}{5} = 2 \frac{1}{5} }}[/tex]

Answer B is correct.

Step-by-step explanation:

[tex]2 \frac{3}{4} \times \frac{4}{5} \\ \frac{11}{4} \times \frac{4}{5} \\ \frac{44}{20} \\ = \frac{11}{5} = 2 \frac{1}{5} [/tex]

Answer:

Hello!

_____________________

Exact Form: [tex]\frac{11}{5}[/tex]

Decimal Form: 2.2

Mixed Number Form: [tex]2\frac{1}{5}[/tex]

Step-by-step explanation: Simplify the expression.

So your anwser woould be ( B ) 2 1/5

Hope this helped you!

:D

Answer:

8√3

Step-by-step explanation:

Sin 30 =4√3/DE

DE = 4√3/Sin30 = 8√3

Answer:

Step-by-step explanation:

Using six random samples, the average number of catfish in the samples was 5.7

Answer:

Uhhhh......Hi??

Answer:

Step-by-step explanation:

4x+8=6x-1

-4x .  =-4x .

   8  = 2x-1

  -1+8=2x-1+1

    7=2x

7/2= 2x/2

3.5=x

The value of x will be;

⇒ x = 9/2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4x + 8 = 6x - 1

Now,

Solve the expression for x as;

⇒ 4x + 8 = 6x - 1

Subtract 6x both side, we get;

⇒ 4x + 8 - 6x = 6x - 1 - 6x

⇒ - 2x + 8 = - 1

Subtract 8 both side,

⇒ - 2x = - 1 - 8

⇒ - 2x = - 9

Divide by - 2 as;

⇒ x = 9/2

Thus, The value of x will be;

⇒ x = 9/2

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Answer:

25(sqrt(2)+1)

Some explanation:

The exact form is 25*sqrt(2) + 25.

If we divide by 25, we are left with sqrt(2) + 1.

So 25(sqrt(2) + 1) is the correct answer.

Hope that helps a little!

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:

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: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

Step-by-step explanation:

Years since tree was planted (x) - - - - height (y)

2 - - - - 17

3 - - - - 25

5 - - - 42

6 - - - - 47

7 - - - 54

9 - - - 69

Using a regression calculator :

The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08

With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.

X is the independent variable which is used in calculating the value of y.

Predicted height when years since tree was planted(x) = 100

ŷ = 7.36X + 3.08

ŷ = 7.36(100) + 3.08

y = 736 + 3.08

y = 739.08

Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.

Answer:

D

Step-by-step explanation:

There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

Answer:

90.91 years

Step-by-step explanation:

If the rate of population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year, increase in yearly population = 1.1/100 × 7,100,000,000

= 1.1 × 71,000,000

= 78,100,000

The amount increases by 78.1million every year.

To know how long it will take the population to double.

double of the initial population = 2×7,100,000,000 = 14,200,000,000

Increment per year = 78,100,000

Time it will take for the population to double = 7,100,000,000/78,100,000

= 90.91

≈ 91

This means it will take about 90.91years for the population to double

Answer: C) 5

Step-by-step explanation:

First let's distribute the left side of the equation.

2/3a - 9 1/3 = -3(a-3)

Then let's distribute the right side of the equation.

2/3a - 9 1/3 = -3a + 9

Then let's move all the a's to one side, and all the constants to the other.

3 2/3a = 18 1/3

Then divide both sides of the equation by 3 2/3.

a = 5

Hope it helps <3

Answer:

Step-by-step explanation:

See below for a graph showing the parallelogram and the rectangle.

The dimensions of the rectangle are 11 by 20. The rectangle area is ...

  rectangle area = bh = (11)(20) = 220 . . . square units

There are 2 right triangles with a base of 10 and a height of 1. There are 2 right triangles with a base of 10 and a height of 10. The total area of the triangles is ...

  triangle area = 2(1/2)(10)(1) +2(1/2)(10)(10) = 10(1 +10) = 110 . . . square units

The area of the parallelogram is the difference of these, ...

  parallelogram area = rectangle area - triangle area

  = (220 units²) -(110 units²) = 110 units²

The area of parallelogram ABCD is 110 square units.

_____

Check

The parallelogram has a base of 10√2 and a height of 5.5√2, so an area of (10√2)(5.5√2) = 110 square units. This matches the above result.

Answer:

1) 11 by 20   2) 110  3) 110      correct on edg

Step-by-step explanation:

Create a rectangle around the parallelogram. The dimensions of this rectangle are

11 by 20

Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is

110 square units.

Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is

110 square units.

Step-by-step explanation:

let x be the distance between B and P

tan(67)=x/5000

x=2.3558 . 5000

x=11779feet

Answer:

11,779 feet

Step-by-step explanation:

Is the answer

Answer:

×-10×+21=0

FACTORIZATION of splitting the middle term

Answer:

4 hours

Step-by-step explanation:

To find the time it takes to travel the distance, divide the distance by the speed they are going.

(240 miles)/(60 miles per hour) = 4 hours

It will take them 4 hours.

Answer:Answer:

4 hours

Step-by-step explanation:

To find the time it takes to travel the distance, divide the distance by the speed they are going.

(240 miles)/(60 miles per hour) = 4 hours

It will take them 4 hours.

Step-by-step explanation:

Answer:

28x^2

Step-by-step explanation:

Set variables:

Width = w

Length = x

Height = h

Set Equation:

w = 2h = 4x

h = 2x

x=x

Now that we have the terms in terms of x, we can find surface area.

We find the first three then multiply answer by 2, because there are 6 sides.

w*h -> first side

w*x -> second side

h*x -> third side

Set them in terms of x:

4x*2x = 8x^2

4x*x = 4x^2

2x*x = 2x^2

Add them and get: 14x^2

Wait, you need to multiply them by 2 and get: 28x^2

Answer: The answer is in the photo I really hope it’s right

Step-by-step explanation: I don’t need a brainly(I’m joking)

Hahahaha I know it’s not the best

Answer:

1. 29.44 feet.

2. 2/3.

3. 10/9.

4. 39/5.

Step-by-step explanation:

1. 34-foot ladder makes a 60 degree angle with the ground. If you visualize a 30-60-90 triangle with the ladder and the building and the ground, you can see that the hypotenuse of the triangle is 34 feet.

With 30-60-90 triangles, the short side is x, the hypotenuse is 2x, and the long side is x and the square root of 3.

If the hypotenuse is 34 feet, that must mean that the short side is 34 / 2 = 17 feet. The long side will be 17 * sqrt(3) = 17 * 1.732050808 = 29.44486373. So, the height above the ground will be about 29.44 feet.

2. Tangent of A! For this, we will use SOH CAH TOA... TOA stands for tangent: opposite over adjacent.

According to the diagram, angle A has an adjacent side of 15 units and an opposite side of 10 units. That means that tanA = 10 / 15 = 2/3.

If you want to find the measure of angle A, you can easily find the cotangent of 2/3. That is 33.69006753, or about 34 degrees.

3. The ratio should be 5 feet to 54 inches. There are 12 inches in 1 foot, so 5 feet is the same thing as 60 inches. 60 / 54 = 30 / 27 = 10/9.

4. (p + 9) / 7 = 12 / 5

5(p + 9) = 12 * 7

5p + 45 = 84

5p = 39

p = 7.8

That is the same thing as 7 and 4/5, or (35 + 4)/5 = 39/5

Really hope this helps!!

Answer to #4:a=−p2+84/p (note:the p2 is p to the exponent of 2, not p times 2)

Explanation:

Step 1:Multiply both sides by p

1/7ap+1/7p2=12

Step 2:Step 2: Add (-1)/7p^2 to both sides.

1/7ap+1/7p2+(−1/7p2)=12+(−1/7p2)1/7ap=−1/7p2+12

1/7ap=−1/7p2+12

Step 3: Divide both sides by p/7. and you get..

a=−p2+84/p

note:the p2 is p to the exponent of 2, not p times 2

Answer:

a = - 13, b = - 10

Step-by-step explanation:

Given that x = - 1 and x = - 2 are zeros then

f(- 1) = 0 and f(- 2) = 0, that is substituting value into the polynomial

f(- 1) = (- 1)³ - 2(- 1)² - a + b = 0 , that is

- 1 - 2 - a + b = 0

- a + b = 3 → (1)

f(- 2) = (- 2)³ - 2(- 2)² - 2a + b = 0, that is

- 8 - 8 - 2a + b = 0

- 2a + b = 16 → (2)

Multiply (1) by - 2

2a - 2b = - 6 → (3)

Add (2) and (3) term by term to eliminate a

- b = 10 ( multiply both sides by - 1 )

b = - 10

Substitute b = - 10 into (1) and evaluate for a

- a - 10 = 3 ( add 10 to both sides )

- a = 13 ( multiply both sides by - 1 )

a = - 13

Hey there! :)

Answer:

g(x) = (x + 9)²

Step-by-step explanation:

If we look at the graph g(x), we can see that its vertex is at (-9, 0).

Recall the transformation form of a parabola is f(x) = ±a(b(x-h))+k where (h , k) are the coordinates of the vertex. In this instance it is (-9, 0), therefore:

g(x) = (x + 9)²

Answer:

I believe the number of terms are 10

Step-by-step explanation:

The number of terms in the given sequence(5240,4365, 3490, 2615, ..., -2635) is 10.

In mathematics, a sequence is an enumerated group of elements in which repetitions are allowed and order is significant.

The 1st term in the given sequence is 5240

The 2nd term is 4365 = 5240 - 875

The 3rd term is 3490 = 4365 - 875

The 4th term is 2615 = 3490 - 875

Then the 5th term is 2615 - 875 = 1740

The 6th term is 1740 - 875 = 865

The 7th term is 865 - 875 = - 10

The 8th term is - 10 - 875 = - 885

The 9th term is - 885 - 875 = - 1760

The 10 the term is - 1760 - 875 = - 2635.

Therefore the number of terms in the given sequence(5240,4365, 3490, 2615, ..., -2635) is 10.

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Answer:

it is 13093 i got it correct

Answer:

Positive

Step-by-step explanation:

123 1/23 + (-123 1/23)

Opening the bracket, we have ;

123 1/23 - 123 1/23 = 0

Kindly note that 0 is not a sign, so we cannot select it as an option.

0 is a positive number and not negative.

Thus the sign we have is the positive sign and that gives our answer

Answer: {4,5,6}

Step-by-step explanation: Sets could be explained as a representation of elements which could be numbers, alphabets or a collection of items which are wrapped inside a curly bracket {}. Generally in mathematical or statistical parlance, once elements are wrapped around curly braces, the collection of those emmts is called a set. And therefore, set arithmetic such as union, intersection, complement e.t.c can be performed on elements of the given set. Elements wrapped in curly braces signifies that the elements reperesents an entire entity.

In the question given above, {7,8,9} reperesents a set containing three elements : 7, 8,9.

Hey there! :)

Answer:

x = 4, y = -18 or (4, -18).

Step-by-step explanation:

Given:

5x + y = 2

2x - 3y = 62

We can use substitution to solve this problem. Rearrange the first equation in terms of y:

5x + y = 2 ---> y = -5x + 2

Substitute in this equation for y into the second equation:

2x - 3(-5x + 2) = 62

Distribute -3:

2x + 15x  - 6 = 62

Combine like terms:

17x - 6 = 62

Add 6 to both sides:

17x = 68

Divide both sides by 17:

x = 4.

Plug in this value for x into an equation to solve for y:

5(4) + y = 2

20 + y = 2

y = -18.

Therefore, the solutions to this system of equations are:

x = 4, y = -18 or (4, -18).

I totally typed the right answer for the wrong question sorry