the solution to -2[1 - 4x] = 3x + 8 is

Answers

Answer 1

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________


Related Questions

A system of equations that ended with the statement 5=5 has no solution? False or true

Answers

Answer: no solution

Step-by-step explanation:

Final answer:

In a system of equations, if the final equation simplifies to a statement that is always true, like 5=5, this indicates the system has in fact an infinity of solutions, not no solutions.

Explanation:

The question given pertains to the solution of a system of equations. In a system of equations, if you simplify to a point where you end up with a statement that is always true, such as 5=5, this indicates that the system has an infinite number of solutions, not no solutions as suggested.

Let's imagine we have a system of two linear equations representing two lines on a graph. If the lines overlap perfectly (one is exactly the same as the other), every point on the line is a point of intersection, meaning it is a solution to the system. When we simplify such a system algebraically, we get an identity like 5=5 which is true no matter what values the variables may take, directly indicating that there are an infinite number of solutions.

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ce
Which rigid transformation(s) can map AABC onto a
FED?
O
reflection, then dilation
reflection, then translation
rotation, then translation
rotation, then reflection
O

Answers

Answer:

B. reflection, then translation

Step-by-step explanation:

Hope this helps :)

Triangle ABC can be mapped onto triangle FED through reflection, then translation

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Triangle ABC can be mapped onto triangle FED through reflection, then translation

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which of The following numbers is largest Try This question out and I’ll give you brainliest

Answers

Answer: 0.153 is the largest

Step-by-step explanation:

1/7=0.14, 1/12=0.08, and 15%= 0.150


The distance from Jason's house to school is 0.6 kilometer. What is this distance in meters?

Answers

Answer:

600 meters

Step-by-step explanation:

1 kilometer= 1000 meters

0.6/1=x/100

Which makes x=600

1) 1336 = 8(-14x - 29)

Answers

Answer:

x = -14

Step-by-step explanation:

Step 1:  Distribute

1336 = 8(-14x - 29)

1336 = -112x - 232

Step 2:  Add 232 to both sides

1336 + 232 = -112x - 232 + 232

1568 = -112x

Step 3:  Divide both sides by -112

1568 / -112 = -112x / -112

-14 = x

Answer:  x = -14

Answer:

The solution is x = -14

Step-by-step explanation:

To solve for x, first perform the indicated multiplication.  We get:

1336 = 8(-14x - 29) => 1336 = -112x - 232

Adding 232 to both sides isolates -112x:

1336 + 232 = -112x, or

1568 = -112x

Next, x = -1568/112 = -14

The solution is x = -14.

Which two of the following numbers are irrational?

16



6√

36−−√

0.3636

Answers

Answer:

6π,0.3636

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction for any integers.

So 6π and 0.3636 are irrational numbers

Dexter has a gift card for $20.00 to an electronics store. He also has a coupon for 25% off his entire purchase, so he will be paying 75% of the total cost. He plans to buy a video game for $10.00 and batteries for $2.00. Select the equation that represents how much money will be left on his gift card after his purchases if x represents his remaining balance.


What is the equation that represents his remaining balance?
x = 20 + 0.75(10 + 2)
x = 20 – 0.75(10 + 2)
x = 20 + 0.25(10 + 2)
x = 20 – 0.25(10 + 2)

Answers

Answer: X=20-0.75(10+2)

Please mark brainliest!

Step-by-step explanation:

It would be B x=20-0.75(10+2)

because 20 is the amount of the gift card and 0.75 is the percent you will be paying so you subtract the total of 10 and 2 and subtract from 20 and thats the amount you have left!

Answer:

b. x = 20 – 0.75(10 + 2)

Step-by-step explanation:

I just know

--

Brianna Edwards

e d g e n u i t y things

Thanks and remember to always vote brainliest

I need the answers for these pls help

Answers

Answer:

1)

A. m arc QRS = 100°

B. m arc QRT = 255°

C. m arc UTS = 180°

D. m arc UTR = 205°

2)

1] The major arc CA = 255°

2] The minor arc AB = 90°

Step-by-step explanation:

In a circle:

The measure of an central angle is equal to the measure of its subtended arcThe measure of a circle is 360°Any chord divides a circle into two arcs, a minor arc its measure is < 180° and a major arc its measure is > 180°, the sum of the measures of the minor and major arcs is 360°If the measures of the minor and major arcs are equal, then each arc represents a semi-circle

1)

In circle O

A.

∵ m∠QOR = 75°

∵ ∠QOR subtended by arc QR

- By using the 1st note above

∴ m of arc QR = m∠QOR

∴ m of arc QR = 75°

∵ m∠ROS = 25°

∵ ∠ROS subtended by arc RS

∴ m of arc RS = m∠ROS

∴ m of arc RS = 25°

The measure of arc QRS is the sum of the measures of arcs QR and RS

m arc QRS = 75° + 25° = 100°

B.

∵ m∠SOT = 155°

∵ ∠SOT subtended by arc ST

∴ m of arc ST = m∠SOT

∴ m of arc ST = 155°

The measure of arc QRT is the sum of the measures of arcs QR, RS and ST

m arc QRT = 75° + 25° + 155 °= 255°

C.

∵ m∠UOT = 25°

∵ ∠UOT subtended by arc UT

∴ m of arc UT = m∠UOT

∴ m of arc RUT = 25°

The measure of arc UTS is the sum of the measures of arcs UT and TS

m arc UTS = 25° + 155° = 180°

D.

The measure of arc UTR is the sum of the measures of arcs UT, TS and SR

m arc UTR = 25° + 155° + 25 = 205°

2)

1]

∵ The sum of the measures of the minor and major arcs is 360°

∵ m of minor arc AC = 105°

- Subtract 105 from 360° to find the measure of the major arc CA

∴ m of major arc CA = 360° - 105°

m of major arc CA = 255°

2]

∵ m of major arc AB = 270°

- Subtract 270° from 360° to find the measure of the minor arc AB

∴ m of minor arc AB = 360° - 270°

m of minor arc AB = 90°

What is 12% on $3,200 in sales?

Answers

Answer:

The easiest way of calculating discount is, in this case, to multiply the normal price $3200 by 12 then divide it by one hundred. So, the discount is equal to $384. To calculate the sales price, simply deduct the discount of $384 from the original price $3200 then get $2816 as the sales price.


If the rate 130 miles per 2 hours is reduced to a unit rate, the result is
miles per hour.
Answer here

Answers

Answer:

65 miles every 1 hour

Step-by-step explanation:

Unit rate is found once one of the units is 1. In this case we need to reduce the ratio so that it is 1 hour and we get a unit rate. We can do this by dividing both sided by 2 so that the hours are reduced to 1.

130=2

130/2=65                2/2=1

65=1

65 miles every hour

Final answer:

The unit rate of 130 miles per 2 hours is 65 miles per hour. This is calculated by dividing the number of miles (130) by the number of hours (2).

Explanation:

In Mathematics, the term unit rate refers to the ratio of two measurements, in which the denominator is 1. In this situation, you are given the rate of 130 miles per 2 hours and need to reduce it to a unit rate. To do this, you divide the number of miles (130) by the number of hours (2).

The calculation would be 130 miles ÷ 2 hours = 65 miles per hour. Hence, the unit rate of 130 miles per 2 hours is 65 miles per hour. This means that if you travel at this rate, you would cover 65 miles in one hour.

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If MP = 6x – 5, QR = 3x + 1, and RN = 6, what is QN?

Answers

Answer:

19 units.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is given that MN=PQ.

It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.

Since non parallel sides are equal, therefore it is an isosceles trapezoid.

The diagonals of an isosceles trapezoid are equal.

[tex]MP=QN[/tex]

[tex]MP=QR+RN[/tex]

Substitute the given values.

[tex]6x-5=3x+1+6[/tex]

[tex]6x-5=3x+7[/tex]

[tex]6x-3x=5+7[/tex]

[tex]3x=12[/tex]

[tex]x=4[/tex]

The value of x is 4.

[tex]QN=MP=6x-5=6(4)-5=24-5=19[/tex]

Hence, the measure of QN is 19 units.

Final answer:

To find QN,  RN from the value of QR which is 3x - 5

Explanation:

The value can be found using Algebraic expressions.

To find QN, we need to find the value of QR and subtract RN from it.

Given that QR = 3x + 1 and RN = 6, we can substitute these values into the equation.

So, QN = (3x + 1) - 6.

Simplifying further, QN

= 3x + 1 - 6

= 3x - 5.

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Here is a system of two linear equations. Verify that the solution to this system is (3,4).
Equation A1: y = x + 1
Equation A2: y = -2x + 10

Answers

Answer:

The answer

x=3

y=4

Step-by-step explanation:

You use substitution to solve it:

x+1=-2x+10

3x+1=10

3x=9

x=3

y=4

plug in the solution to the equation to verify your answer.

9. GO DEEPER Mrs. Rodriguez has 18 packages of pens in stock at her store on Monday.
On Tuesday, she has the number of pens she had on Monday. On Wednesday, na
she has of the number of pens she had on Tuesday. How many packages of pens A
does she have on Wednesday?

Answers

Answer:

Mrs. Rodriguez has 6 packages of pens Wednesday

Step-by-step explanation:

What is the value of the expression? 32+[4×(15÷3)]−5

Answers

Answer:

47

Step-by-step explanation:

32+[4×(15÷3)]−5

At first we have to apply "BODMAS" rule. According to the rule, we will work 1st bracket.

Hence,

32+[4×5]−5

Then, we will take 3rd bracket into consideration,

32+20−5

Then, we will use addition from the BODMAS rule-

52 - 5

Finally, subtracting 5 from 52, we can get

= 47

The value of the expression is 47.

Final answer:

The value of the expression 32+[4×(15÷3)]−5 is calculated using the order of operations to be 47.

Explanation:

The value of the expression 32+[4×(15÷3)]−5 can be calculated by following the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's solve it step by step:

Solve the expression inside the parentheses: (15÷3) = 5.

Multiply this result by 4: 4×5 = 20.

Add this result to 32: 32 + 20 = 52.

Finally, subtract 5 from this sum: 52 − 5 = 47.

Therefore, the value of the expression is 47.

prove that :
1/sin^2A -1/tan^2A =1​

Answers

To prove that:

[tex]$\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}=1[/tex]

LHS = [tex]\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}[/tex]

Using basic trigonometric identity, [tex]\tan (x)=\frac{\sin (x)}{\cos (x)}[/tex]

       [tex]$=\frac{1}{\sin ^{2}A}-\frac{1}{\left(\frac{\sin A}{\cos A}\right)^{2}}[/tex]

      [tex]$=\frac{1}{\sin ^{2}A}-\frac{1}{\frac{\sin^2A}{\cos^2 A}}[/tex]

      [tex]$=\frac{1}{\sin ^{2}A}-\frac{\cos^2 A}{\sin^2A}[/tex]

      [tex]$=\frac{1-{\cos^2 A}}{\sin ^{2}A}[/tex]

Using trigonometric identity: [tex]1-\cos ^{2}(x)=\sin ^{2}(x)[/tex]

      [tex]$=\frac{\sin ^{2}A}{\sin ^{2}A}[/tex]

      = 1

      = RHS

LHS = RHS

[tex]$\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}=1[/tex]

Hence proved.

If m/n =5, then m2−25n2 =

Answers

Answer:

(1) m > 0

(2) 2m + n= 26

Step-by-step explanation:

Answer:

its 0 trust me

Step-by-step explanation:

how to find critical points

Answers

Answer:

  look for places where the derivative is zero or undefined

Step-by-step explanation:

Find the derivative. Critical points are where the derivative is zero, and where it is undefined.

__

A polynomial function may or may not have points where the derivative is zero. It will never have points where the derivative is undefined (tangent lines are vertical).

A rational function, or one involving fractional exponents may have critical points where the derivative is undefined.

__

For example, the function ...

  y = √(1 -x^2)

has the derivative ...

  y' = -x/√(1 -x^2)

This has a zero at x=0 (tangent is horizontal). It is undefined at x = ±1, where the denominator is zero (tangent is vertical). Those values of x tell you the critical points are (-1, 0), (0, 1), (1, 0).

Final answer:

Critical points in a mathematical function are found by deriving the function, setting the derivative equal to zero, and solving for x. The x-values obtained are the x-coordinates of the critical points. An example is provided for the function f(x) = x3 - 3x2.

Explanation:

To find the critical points in a function, you first need to identify the derivative of the function. Once you have obtained the derivative, you set it equal to zero and solve for x. The x-values you get are the x-coordinates of your critical points.

Let's illustrate with an example, using the function f(x) = x3 - 3x2.

First, let's find the derivative, f'(x) = 3x2 - 6x. Then set f'(x) = 0 and solve for x. This gives us x = 0 and x = 2. Therefore, (0, f(0)) and (2, f(2)) are the critical points of the function.

Please note, critical points are also the points where the derivative is undefined. However, in this case the derivative exists for all real numbers, so we do not have any such critical points here.

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Find the area of the figure.
If you really know, you don't need the answer choices
Good Luck :)

Answers

The answer is B.)

1. Find the area of the rectangle = L x W

- 5 x 6 = 30

2. Find the area of the triangle = bh/2

- 4*3/2 = 6

3. Add the areas of the figures.

- 30 + 6 = 36 cm^2

Solve for y.
-3=7(y-9/7)

Answers

Answer: Y= 6/7 or Y=0.86

Step-by-step explanation:

-3=7(y-9/7)

-3=7y-9

+9     +9

6=7y

divide both sides to get y by it self

6/7=y

Answer:

Y=6/7

Step-by-step explanation:

You have to isolate the variable by doing the opposite of PEMDAS to both sides of the equation.

What is the first operation to use to simplify the expression?

​ 3,500÷(34+8×2)−4

Answers

Final answer:

To simplify the expression 3,500÷(34+8×2)−4, first simplify the expression inside the parentheses, then divide and subtract to get the final answer of 66.

Explanation:

To simplify the expression 3,500÷(34+8×2)−4, we need to follow the order of operations which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). In this case, we first simplify the expression inside the parentheses, which is (34+8×2). We perform the multiplication first, then the addition, resulting in 34+16. Next, we divide 3,500 by the sum of 34 and 16. Finally, we subtract 4 from the quotient.

Step-by-step:
1. Simplify (34+8×2) = 34+16 = 50
2. Divide 3,500 by 50 = 70
3. Subtract 4 from 70 = 66

“I think I can make it. I’ll just jump.” says Denis, flashing a grin as he looks to the neighboring rooftop.
“Wait!” Vera exclaims. “First let's find the distance! Here, take a look at this diagram.”
“I’ve never much cared for math,” Denis frowns.
Vera rolls her eyes. “We know the distance between us, and we know the angles between ourselves and your target landing point. All we need to do is...”
Denis jumps.
“...apply the law of sines.” Vera gasps.
According to Vera's diagram, how far did Denis need to jump to reach the neighboring rooftop?

Answers

9514 1404 393

Answer:

  5.3 m

Step-by-step explanation:

The angle opposite the given side is ...

  180° -105° -40° = 35°

Then the law of sines tells us the unknown distance (d) is ...

  d/sin(40°) = 4.7 m/sin(35°)

  d = (4.7 m)sin(40°)/sin(35°) ≈ 5.267 m

Denis will need to jump about 5.3 m to reach the neighboring roof.

_____

Additional comment

Denis will need a running start. The world record for a standing broad jump is less than 4 m.

Y=-2x^2+8x-8 What is the vertex

Answers

Answer:

Vertex is (2,0)

Step-by-step explanation:

The vertex of a parabola is x=-b/2a

Since a=-2 and b=8, we have:

x=-8/2(-2)

x=-8/-4

x=2

So the vertex is (2,0)

Max and some friends shared the cost of a meal. The meal cast $51 and each person contributed $17 how many people share the cost of the meal

Answers

Answer:

3

Step-by-step explanation:

51 divided by 17 equals 3

6 Write an equation in point-slope form given the points (-1,-7) and (2, 5). a. y - 5 = 4 (x - 2) b. y + 5 = 4 (x + 2) c. y - 2 = 4 (x - 5) d. y + 2 = 4 (x + 5)

Answers

Answer:

A - y - 5= 4(x - 2)

Step-by-step explanation:

First find slope with the two points given

( -1 , -7) and ( 2 , 5)

Using

m = y_2 - y_1 / x_2 - x_1

m - slope

x_1 = -1

y_1 = -7

x_2 = 2

ÿ_2 = 5

Inserting the values

m = 5 - (-7) / 2 - (-1)

= 5 + 7 / 2 + 1

= 12 / 3

= 4

Slope is 4

Then let's proceed

y - y_1 = m ( x - x_1)

using ( 2 , 5) as x_1 and y_1 respectively

x_1 = 2

y_1 = 5

m = 4

y - 5 = m ( x - 2)

m = 4

y - 5 = 4 ( x - 2)

We are asked to give the answer in point slope form

3/4 of m into an algebraic expression

Answers

The word OF means to multiply in math.

So, 3/4 of m becomes (3/4)m, which means 3/4 TIMES m.

We can also write the expression

this way: (3m)/4.

They both mean the same thing.

The requried 3/4 of m is represented by the algebraic expression (3/4)m, and its value depends on the specific value assigned to m.

To express 3/4 of a quantity, m, as an algebraic expression, we can multiply 3/4 by m.

The algebraic expression for 3/4 of m is (3/4)m.

To evaluate this expression, we simply multiply 3/4 by the value of m.

For example, if m = 10, we substitute m = 10 into the expression to find (3/4)(10) = (3/4) * 10 = 30/4 = 7.5.

Therefore, 3/4 of m is represented by the algebraic expression (3/4)m, and its value depends on the specific value assigned to m.

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Type the Integer that makes the following addition sentence true.​

Answers

Answer:

11

Step-by-step explanation:

3 + 38 - 63 + 33 = 11

Answer:

11

Step-by-step explanation:

I found the answer simply by doing trial-and-error, but here are the steps:

11 - 33 = -22

-22 +  63 = 41

41 + (-38) = 3

dard
3. A soda pop company is running a bottle cap
contest where "WINNER" is printed
underneath random bottle caps. If the
probability of getting a winning bottle cap is
6 in 40, what is the probability of not winning?

Answers

Answer:

34 in 40

Step-by-step explanation:

6 in 40 is the probability of winning, so

34 in 40 is the probability of not winning.

simply do 40 - 6.

This answer can also be written as

[tex] \frac{34}{40} [/tex]

or 85%

The probability of not winning a bottle cap is 34/40.

What is probability?

Probability is a field in mathematics that deals with the possibility of how an event is likely to occur or true.

The probability of favorable outcomes (winning) = 6The probability of unfavorable outcomes (not winning) = 40 - 6  = 34The total possible outcome = 40

The probability of not winning = 34/40

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Please help ASAP; it is based off of sequences

Answers

Answer:

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

Step-by-step explanation:

The given geometric sequence is :

-1,2,-4,8,...

The first term is

[tex]a_1=-1[/tex]

The common ratio is

[tex]r = \frac{2}{ - 1} = - 2[/tex]

The nth term is given by;

[tex]a_n=a_1(r^{n-1})[/tex]

We substitute the values of the first term and common ratio to get:

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

This is called the explicit formula.

Multiply. Write your answer as a fraction in simplest form.
8(3/26)

Answers

Answer:

12/13

Step-by-step explanation:

I hope this helps!

Sienna earns $9.36 for each hour she works. This week she worked 15.67 hours. How much did Sienna earn this week?

Answers

Answer:

146.67 dollars

Step-by-step explanation:

9.36*15.67

Answer:

$146.67

Step-by-step explanation:

$9.36 per hour

15.67 hours

Multiply

$146.67

Hope this helps :)

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In the other 50 houses, the residents agree to keep their houses at 70 degrees. For several nights, Dr. Ramos collects the sleep data for the people living in the houses to see how the residents sleep patterns have changed. Assuming that the study allows people to use as many or as few blankets as they like, number of blankets would be a(n) ____ variable in the experiment. The measure of an angle is 63.7. What is the measure of its supplementary angle? Write a sequence that has two geometric means between -6 and 2/9 The proximal end of the radius illustrates the relationship of form and function. The cup-like surface of the radial head articulates with the rounded shape of the capitulum. This forms a joint that allows for _____. Clem is married and is a skilled carpenter. Clem's wife, Wanda, works parttime as a substitute grade school teacher. Determine the amount of CLem's expenses that are deductible for AGI this year (if any) under the following independent circumstances:A) Clem is self-employed and this year he incurred $525 for tools and supplies related to his job. Since neither were covered by a qualified health plan. Wanda paid health insurance premiums of $3,600 to provide coverage for herself and Clem (not through an exchange).B) Clem and Wanda own a garage downtown that they rent to a local business for storage. This year they incurred $1,250 in utilities and depreciation of $780. When Thomas Jefferson said in 1801, "We are all Republicans-we are all Federalists," he meant that A) Americans would never ally themselves with monarchical governments B) federalists would be appointed to his cabinet C) the two parties' platforms were identical D) the principles of American government were above party politics E) he admired Hamilton's policies At a campground, a rectangular fire pit is 7 feet by 6 feet. What is the area of the largest circular fire that can be made in this fire pit? Round to the nearest square inch. A bag contains 4 red chips and 2 blue chips. another bag contains 2 red chips and 6 blue chips. A chip is randomly selected from one bag and it is blue. What is the probability that it came from the first bag If we start at the point (1,0) and travel once around the unit circle, we travel a distance of 2 pi units and arrive back where we started at the point (1,0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use the this discussion to evaluate the following expressions sin (2pi + 3pi/2) What is the equation of the line that passes through the point (-4, 4) and has aslope of -3 A spinner is divided into 5 sections of equal size. You spin it 4 times, with the following results 1,5,3,2 which of the following is false?a. The theoretical probability of a 1 is 20%. c. If you spin the spinner again and gresults, the theoretical probabilityb. The experimental probability of a 2 is 25%. d. All of the above are true. A 1050 kg sports car is moving westbound at 13.0 m/s on a level road when it collides with a 6320 kg truck driving east on the same road at 14.0 m/s . The two vehicles remain locked together after the collision.a. What is the velocity (magnitude and direction) of the two vehicles just after the collision? b. At what speed should the truck have been moving so that both it and the car are stopped in the collision? c. Find the change in kinetic energy of the system of two vehicles for the situations of part (a) and part (b). For which situation is the change in kinetic energy greater in magnitude? If np greater than or equals 5 and nq greater than or equals 5, estimate Upper P (fewer than 3 )with nequals13 and pequals0.4 by using the normal distribution as an approximation to the binomial distribution; if npless than5 or nqless than5, then state that the normal approximation is not suitable. The following spelling rule explains that likely is spelled likely rather than likly.A. When the suffix ends with a consonant, keep the "e" on the main word.B. When the suffix begins with a consonant, keep the "e" on the main word.C. When the main word ends in "e", keep the "e" and add "ly" (I don't think this one is right myself.)D. When the main words end in a consonant then a vowel, keep the "e" and add "ly" nononononononononono How many five-digit numbers are there for which each digit is either equal to both adjacent ones, or differs from its neighbors exactly by 1 (from one smaller by 1, and from the other larger by 1) and which contain the digit 5?