8 Solve: 2 3= 4x + 2 - O- O 1 2 AP 4 ( ) 1 4. O 1 2

8 Solve: 2 3= 4x + 2 - O- O 1 2 AP 4 ( ) 1 4. O 1 2

Answers

Answer 1

We will have the following:

[tex]3=4x+2\Rightarrow1=4x[/tex][tex]\Rightarrow x=\frac{1}{4}[/tex]

[Third option]


Related Questions

I just need to know if You just have to tell me if the circles are open or closed.

Answers

Solution

- The solution is given below:

[tex]\begin{gathered} y-2<-5 \\ y-2>5 \\ \\ \text{ Add 2 to both sides} \\ \\ y<-5+2 \\ y<-3 \\ \\ y-2>5 \\ y>5+2 \\ y>7 \end{gathered}[/tex]

- Thus, we have:

[tex]\begin{gathered} y<-3 \\ or \\ y>7 \end{gathered}[/tex]

- Thus, the plot is:

what is 9/36 simplified?

Answers

Answer:

1/4

Step-by-step explanation:

it can be simplified by dividing both the numerator and denominator with 9.

Solution -:

[tex] \displaystyle \large{ \sf{ \frac{9}{36}}} [/tex]

[tex]\displaystyle \large{ \sf{ \frac{9}{36} = \frac{ \cancel9}{ \cancel3 \cancel6} }}[/tex]

[tex]\displaystyle \large{ \bf{ = \frac{1}{4} }}[/tex]

simplest form is 1/4

Calculate the slope of the given line using either the slope formula  m = y 2 − y 1 x 2 − x 1  or by counting  r i s e r u n . Simplify your answer. You can choose your method.

Answers

The slope of the line that passes through points (x1, y1) and (x2, y2) is computed as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Replacing with the points (-8, 3) and (0,1) we get:

[tex]m=\frac{1-3}{0-_{}(-8)}=\frac{-2}{8}=-\frac{1}{4}[/tex]

Simplify the expression -3n-8-7n + 17

Answers

We simplify by combining like terms

therefore

[tex]\begin{gathered} -3n-8-7n+17 \\ =-3n-7n-8+17 \\ =-10n+9 \end{gathered}[/tex]

which three statements are true about the line segment CBit's the radius of the circleit is the circumference of the circleit is a cordit is 6cm longit is diameter of the circle it is 7cm longit is 1.75cm long

Answers

Answer:

It is the diameter of the circle

it is 7 cm

it is a chord

Explanation:

First, we notice that the line segment CB passes through the centre of the circle and its endpoints touch the circumference - this tells us that CB is the diameter.

Furthermore, any line segment whose endpoints lie on the circumference of the circle is a chord (meaning that the diameter is the longest chord), and so we deduce that CB is also a chord.

Since CB is the diamter, its length is 2 times the radius. The raduis of the circle we know is DA = 3.5 cm; therefore, the dimater is CB = 2 DA = 2 * 3.5 = 7 cm.

Hence, the correct choices are:

It is the diameter of the circle

it is 7 cm

it is a chord

I got stuck and I need help on this I would appreciate the help:0

Answers

[tex]x=\frac{9}{\sqrt[]{2}}[/tex]

1) In this problem, we can see that this is an isosceles right triangle.

2) So, one way of solving it is to make use of the Pythagorean theorem. Note that an isosceles triangle has two congruent sides, so we can write out:

[tex]\begin{gathered} a^2=b^2+c^2 \\ b=c \\ 9^2=x^2+x^2 \\ 81=2x^2 \\ 2x^2=81 \\ \frac{2x^2}{2}=\frac{81}{2} \\ x^2=\frac{81}{2} \\ \sqrt[]{x^2}=\sqrt[]{\frac{81}{2}} \\ x=\frac{9}{\sqrt[]{2}} \end{gathered}[/tex]

Usually, we rationalize it. But since the question requests the denominator to be a rational one, so this is the answer.

solve for x in the parallelogram below

Answers

The correct answer is 9
x = 9
The equation should look like this:

2x - 4 = 14

Add 4 to both sides to remove it from the left side of the equation
2x - 4 + 4 = 14 + 4
2x = 18

Now just divide by 2 on both sides
2x / 2 = 18/2
x = 9

3. Trapezoid JKLM with vertices J(-4, 3), K(-2, 7),L(2,7), and M(3, 3) in the line y = 1.what would the reflection coordinates be

Answers

First, we graph the trapezoid and the line

If we reflect the figure across the line y = 1, then we get the following figure

As you can observe in the graph, the vertices would be J'(-4,-1), K'(-2,-5), L'(2,-5), and M'(3,-1).

The distance around a water fountian is 150 inches what is the distance from the edge of the fountian to the center

Answers

Answer:

The distance from the edge of the fountain to the centre is approximately 23.87 inches.

The water fountain forms a circle. The distance around the water fountain is the circumference of the circle formed.

Therefore,

circumference = 2πr

150 = 2πr

The distance from the edge of the fountain to the centre is the radius of the circle formed. Therefore,

75 = πr

r = 75 / 3.14159

r = 23.8732616287

r = 23.87 inches

The distance from the edge of the fountain to the centre is approximately 23.87 inches.

Janelle says that lines l and m are skew lines. Planes B and A intersect. Plane B is vertical and contains vertical line n. Plane A is horizontal and contains horizontal line m. Line m and n are perpendicular. Line l is on plane A and it is slightly diagonal. Is Janelle correct? Yes, because the lines are not parallel. Yes, because the lines will intersect. No, because the lines are in the same plane. No, because the lines are perpendicular.

Answers

Lines are parallel and on the same plane. The final answer, "No, because the lines are in the same plane," is the proper response.

What is a line that is perpendicular?

Perpendicular lines are those that cross at a perfect right angle. Parallel lines are those that are always the same distance apart from one another.

The question is incomplete.

Please see the accompanying image for a comprehensive explanation of the question.

Line l and line m are the two lines that are depicted in the image.

The skew lines are in different planes and do not overlap, as far as we are aware.

Therefore,

Lines are parallel and on the same plane. The final answer, "No, because the lines are in the same plane," is the proper response.

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farm stand has cherries on 2 shelves. Each shelf has 4 boxes. Each box has 8 ounces of cherries. How many ounces of cherries are displayed in all? Write an expression that represents the amount.

Answers

64 ounces of cherries are displayed in all in the farm stand.

According to the question,

We have the following information:

Farm stand has cherries on 2 shelves.

Number of boxes in each shelf = 4 boxes

So, the number of boxes in 2 shelves will be (2*4) or 8.

Ounces of cherries in each box = 8 ounces

Now, the ounces of cherries in 8 boxes can be easily found by multiplying the ounces of cherries in 1 box by the number of total boxes.

Ounces of cherries in 8 boxes = (8*8) ounces

Ounces of cherries in 8 boxes = 64 ounces

Now, the expression that represents the amount is (number of shelves*number of boxes*ounces of cherries in each box).

Hence, the ounces of cherries displayed in all is 64 ounces.

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On July 31, Oscar Jacobs checked out of the Sandy Beach hotel after spending four nights. The cost of the room was $76.90 per night. He wrote a check to pay for his four-night stay. What is the total amount of his check, expressed in words?

Answers

On July 31, Oscar Jacobs checked out of the Sandy Beach hotel after spending four nights. The cost of the room was $76.90 per night. He wrote a check to pay for his four-night stay. What is the total amount of his check, expressed in words?

step 1

Multiply $76.90 by 4

76.90*4=$307.6

so

expressed in words is

three hundred seven and six tenths

PLEASE HELP I REALLY NEED AN ANSWER ALSO ONLY ANSWER IF YOUR GOING TO GIVE A STEP BY STEP SOLUTION

Answers

The answer of the given expression is 80.

Exponents

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

For example:-

[tex]5^4[/tex] can be written as 5*5*5*5.

Here 4 is the exponent or power and 5 is the base.

There are some laws of exponents which we use while calculating the answer to such expressions.

Given expression:-

[tex]\frac{12^7*30^5}{25^2*8^5*27^4}[/tex]

We have to simplify the given solution using the laws of exponents.

First we will divide them in their prime factors.

We know that,

[tex](x^a)^b=x^{ab}[/tex]

We can write,

[tex]12^7 = (2^2)^7*3^7=2^{14}*3^7[/tex]

[tex]30^5=2^5*3^5*5^5[/tex]

[tex]25^2=(5^2)^2=5^4[/tex]

[tex]8^5=(2^3)^5=2^{15}[/tex]

[tex]27^4=(3^3)^4=3^{12}[/tex]

Hence, we can write the given expression as follows,

[tex]\frac{2^{14}*3^7*2^5*3^5*5^5}{5^4*2^{15}*3^{12}}[/tex]

Also, we know that,

[tex]x^a*x^b=x^{a+b}\\x^a/x^b=x^{a-b}[/tex]

We can write,

[tex]{2^{(14+5-15)}*3^{(7+5-12)}*5^{(5-4)}}[/tex]

[tex]2^4*3^0*5^1[/tex] = 16*1*5 = 80

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QuestionFind the equation of a line that contains the points (-6, 3) and (5,-8). Write the equation in slope-intercept form.

Answers

ANSWER

y = -x - 3

STEP BY STEP EXPLANATION

Step 1: The given points are:

(-6, 3) and (5, -8)

Step 2: The slope-intercept form is

[tex]y\text{ = mx + c}[/tex]

where m is the slope and c is the intercept

Step 3: Find the slope m

[tex]\begin{gathered} \text{slope (m) = }\frac{y_2-y_1}{x_2-x_1} \\ \text{m = }\frac{-8_{}-\text{ 3}}{5\text{ - (-6)}} \\ m\text{ = }\frac{-11}{11}\text{ = -1} \end{gathered}[/tex]

Step 4: Solve for intercept c using either of the points

[tex]\begin{gathered} y\text{ = mx + c} \\ c\text{ = y - mx} \\ c\text{ = 3 - (-1)(-6)} \\ c\text{ = 3 - 6} \\ c\text{ = -3} \end{gathered}[/tex]

Step 5: Re-writing the slope-intercept form to include the values of m and c

[tex]\begin{gathered} y\text{ = mx + c} \\ y\text{ = -x - 3} \end{gathered}[/tex]

Hence, the equation of the line in slope-intercept form is y = -x - 3

Identify whether the following real world examples should be modeled by a linear quadratic or exponential function

Answers

Solution

- Linear:

The general form of a linear function is

[tex]\begin{gathered} y=ax+b \\ where, \\ a,\text{ and b are constants} \end{gathered}[/tex]

- Quadratic:

The general form of a quadratic function is:

[tex]\begin{gathered} y=ax^2+bx+c \\ where, \\ a,b,c\text{ are constants} \end{gathered}[/tex]

- Exponential:

The general form of an exponential function is:

[tex]\begin{gathered} y=ab^x \\ where, \\ a,b\text{ are constants} \end{gathered}[/tex]

- Now that we know the general forms of these functions, we can proceed to solve the question.

- The amount a person is paid per hour in wages is the amount that the person collects for every hour that he works

- Let us imagine that a person receives $a for every hour worked.

- This means that:

After 1 hour, the person makes $a

After 2 hours, the person makes $a + $a = $2a

After 3 hours, the person makes $a + $a +$a = $3a

- We can therefore generalize as follows:

Thus, after x hours, the person makes:

[tex]x\times a=\$ax[/tex]

- Thus, the function representing the amount a person makes per hour of work is given by:

[tex]y=ax[/tex]

- Comparing this result with the 3 function definitions above, we can see that this corresponds to a Linear function

Final Answer

The answer is Linear

A cash register contains only five dollar and ten dollar bills. It contains twice as many fives as tens and the total amount of money in the cash register is 740 dollars. How many tens are in the cash register?

Answers

ANSWER

There are 37 tens in the cash register

EXPLANATION

Given that;

The total amount in the cash register is $740

The cash register contain five dollar and ten dollar

Follow the steps below to find the number of ten dollar in the cash register.

Let x represents the number of $5 and $10 in the cash register.

Recall, that the register contain twice as many $5 as ten dollars and this can be expressed mathematically as

[tex]\text{ 5\lparen2x\rparen+ 10\lparen x\rparen= 740}[/tex]

Evaluate x in the above expression

[tex]\begin{gathered} \text{ 10x + 10x = 740} \\ \text{ 20x = 740} \\ \text{ Divide both sides by 20} \\ \text{ }\frac{\text{ 20x}}{\text{ 20 }}\text{ = }\frac{\text{ 740}}{\text{ 20}} \\ \text{ x = 37} \end{gathered}[/tex]

Therefore, we have 37 tens in the cash register

I inserted a picture of the question please state whether the answer is a b c or d PLEASE GIVE A VERY VERY SHORT EXPLANATION

Answers

The 30-60-90 triangle is given by

AS we can note , the hypotenuse is twice as long as the shorter leg. Additionally, the longer leg is square root of 3 tines as long as the shorter leg. Therefore, the answer is option C and F

Can you please help me out with the a question

Answers

Arc XY = 2π • (PX)/ 4

. = 2π • 5/4

. = 6.28 • 5/4= 31.40/4 = 7.85

Then answer is

Option G) 7.854

Does the following table show a proportional relationship? 8 h 3 9 6 36 9 81 O Yes No

Answers

Proportional relationships are relationships between two variables where their ratios are equivalent.

From the table given;

g:h are respectively;

[tex]\begin{gathered} 3\colon9=1\colon3 \\ 6\colon36=1\colon6 \\ 9\colon81=1\colon2 \end{gathered}[/tex]

Since the ratios above are not equivalent, their relationship is not proportional.

Hence, the correct option is B

A number from 1-40 is chosen at random. Find each probability.1. Pleven | at least 12)2. P(perfect square | odd)3. P(less than 25 | prime)4. P(multiple of 3 | greater than 15)

Answers

Given:

Numbers from 1 - 40

Let's find the probability of:

Pleven | at least 12)

Where:

Even numbers = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 = 20 numbers

Even numbers that are at least 12 = 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 = 15 numbers.

Numbers that are at least 12 = 29 numbers

Therefore, to find the probability, we have:

[tex]P(even|atleast12)=\frac{P(even\text{ and at least 12\rparen}}{P(at\text{ least 12\rparen}}[/tex]

Where:

[tex]\begin{gathered} P(even\text{ and at least 12\rparen = }\frac{15}{40}=0.375 \\ \\ P(at\text{ least 12\rparen= }\frac{29}{40}=0.725 \end{gathered}[/tex]

Therefore, we have:

[tex]\begin{gathered} P(even|atleast12)=\frac{0.375}{0.725} \\ \\ P(even|atleast12)=0.52 \end{gathered}[/tex]

Therefore, the probability that a number chosen at random is even given that it is at least 12 is 0.52

ANSWER:

0.52


The height, in feet, of a particle from the ground is given by the function s(t) = 1.512 + 20r, where 0 ≤ ≤ 17.
Find the velocity of the particle at t = 4.
Answer
feet per second

Answers

The velocity is v= 30.6 ft/ sec.

What is a velocity?

Velocity defines the direction of the movement of the body or the object. Speed is primarily a scalar quantity. Velocity is essentially a vector quantity. It is the rate of change of distance. It is the rate of change of displacement.

Given that,

We have given the height

s(t) = 0.2[tex]t^{3}[/tex] + 21t, where 0 ≤ [tex]x[/tex] ≤ 17.

To find the velocity we have to differentiate s(t) wrt to t.

s(t) = 0.2[tex]t^{3}[/tex] + 21t

    = 0.6[tex]t^{2}[/tex]+21

velocity of the particle at t = 4

s(4) = 0.6*[tex]4^{2}[/tex]+21

     = 9.6+21

     = 30.6

v= 30.6 ft/ sec

Hence, The velocity is v= 30.6 ft/ sec.

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Simplify cot(t)/csc(t)-sin(t) to a single trig function

Answers

The single trig function that simplifies the function is sec(t)

How can we simplify the function?

Trigonometry deals with the functions of angles and how they're applied.

Given cot(t)/csc(t)-sin(t)

since csc(t) =  1/sin(t) , we have:

[tex]\frac{ cot(t)}{csc(t)-sin(t)} = \frac{cot(t)}{\frac{1}{sin(t)} - sin(t) }[/tex]

[tex]\frac{ cot(t)}{csc(t)-sin(t)} = \frac{cot(t)}{\frac{1-sin^{2}(t) }{sin(t)} }[/tex]

since:

cos²(t) = 1 - sin²(t)

Therefore we have:

cot(t) / csc(t)-sin(t) = cot(t)/ cos²(t)/sin(t)

cot(t) / csc(t)-sin(t) = cot(t) / cos(t).cos(t)/sin(t)

Since  cos(t) / sin(t) = 1/tan(t) = cot(t)

Therefore:

cot(t) / csc(t)-sin(t) = cot(t)/ cot(t)×cos(t)

cot(t) / csc(t)-sin(t) = 1/cos(t)

Since   1/cost = sec(t)

Finally, cot(t) / csc(t)-sin(t) is sec(t).

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I have a practice problem in the calculus subject, I’m having trouble solving it properly

Answers

The limit of a function is the value that a function approaches as that function's inputs get closer and closer to some number.

The question asks us to estimate from the table:

[tex]\lim _{x\to-2}g(x)[/tex]

To find the limit of g(x) as x tends to -2, we need to check the trend of the function as we head towards -2 from both negative and positive infinity.

From negative infinity, the closest value we can get to before -2 is -2.001 according to the values given in the table. The value of g(x) from the table is:

[tex]\lim _{x\to-2^+}g(x)=8.02[/tex]

From positive infinity, the closest value we can get to before -2 is -1.999 according to the values given in the table. The value of g(x) from the table is:

[tex]\lim _{x\to-2^-}g(x)=8.03[/tex]

From the options, the closest estimate for the limit is 8.03.

The correct option is the SECOND OPTION.

[tex]((1.25 \times {10}^{ - 15} ) \times (4.15 \times {10}^{25} )) \div ((2.75 \times {10}^{ - 9}) \times (3.4299 \times {10}^{8} ))[/tex]solve. final answer in scientific notation

Answers

[tex]\begin{gathered} \frac{1.25x10^{-15}x4.15x10^{25}}{2.75x10^{-9}x3.4299x10^8} \\ \frac{5.1875x10^{10}}{0.9432} \\ 5.4999x10^{10} \end{gathered}[/tex]

done

[tex]\text{result = 5.4999 x 10}^{10}[/tex]

[tex]Inscientificnotation=5.4999x10^0[/tex]

Pure acid is to be added to a 10% acid solution to obtain 90L of 81% solution. What amounts of each should be used?How many liters of 100% pure acid should be used to make the solution? 04

Answers

Let's use the variable x to represent the amount of pure acid and y to represent the amount of 10% acid.

Since the total amount wanted is 90 L, we can write the equation:

[tex]x+y=90[/tex]

Also, the final solution is 81%, so we can write our second equation:

[tex]100\cdot x+10\cdot y=81\cdot(x+y)[/tex]

From the first equation, we can solve for y and we will have y = 90 - x.

Using this value in the second equation, we have:

[tex]100x+10(90-x)=81(x+90-x)[/tex]

Solving for x, we have:

[tex]\begin{gathered} 100x+900-10x=81\cdot90 \\ 90x+900=7290 \\ 90x=7290-900 \\ 90x=6390 \\ x=\frac{6390}{90} \\ x=71 \end{gathered}[/tex]

Therefore the amount of pure acid to be used is 71 L and the amount of 10% acid is 19 L.

Use the substitution u = (2x - 2) to evaluate the integral x³e(^2x^4-2) dx

Answers

The substitution u = (2x - 2) to the integral x³e(^2x^4-2) dx is (2x – 2)/4 +c

What is meant by integral?In mathematics, an integral assigns numerical values to functions in order to describe concepts like displacement, area, volume, and other outcomes of the combination of infinitesimally small data. Integral discovery is a process that is referred to as integration. One of the fundamental, crucial operations of calculus, along with differentiation, is integration[a]. It can be used to solve issues in mathematics and physics involving, among other things, the volume of a solid, the length of a curve, and the area of an arbitrary shape. The integrals listed here are those that fall under the category of definite integrals, which can be thought of as the signed area of the region in the plane that is enclosed by the graph of a particular function between two points on the real line.

Therefore,

Use the substitution

U = (2x -2)

to evaluate integral x³e(^2x^4-2) dx

let u = 2x -2

du = x dx or dx =du/2

u = 2x-2

du = d(2x – 2)

du = 2dx

dx = du/2

∫ (2x -2)dx = ∫u du/2

=1/2 ∫u du

= ½ u square /2 +c

= u square /4 +c

= (2x – 2)/4 +c

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find the slope. A. y= -1/2x - 19/2.

Answers

The equation of the line follows the following general structure:

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

Where m is the slope of the line and b is the y intercept.

Find the corresponding values in the given formula, this way:

In the given equation, m has a value of -1/2, it means the slope is -1/2.

I need help ASAP

Jeannette is participating in a hot-dog-eating contest. She has already eaten 18 hot dogs but needs to eat more than 35 hot dogs to win. Jeannette is eating 2.6 hot dogs per minute. Which of the following inequalities could be used to solve for x, the number of minutes Jeannette needs to continue eating hot dogs to win the contest
A.
2.6x > 35

B.
2.6x - 18 > 35

C.
2.6x > 18

D.
2.6x + 18 > 35

Answers

Answer:

I may be wrong but I think it's D.

Step-by-step explanation:

I made an educated guess.

The circle has center O. Its radius is 4 cm, and the central angle a measures 30°. What is the area of the shaded region?Give the exact answer in terms of pi, and be sure to include the correct unit in your answer

Answers

Explanation

The area of a portion of a circle with radius 'r' and central angle 'a' in radians is:

[tex]A_{\text{portion}}=\frac{1}{2}\cdot r^2\cdot a[/tex]

In this problem, the radius is r = 4cm, and the angle a = 30º.

First we have to express the angle in radians:

[tex]a=30º\cdot\frac{\pi}{180º}=\frac{1}{6}\pi[/tex]

And now we can find the area of the shaded region:

[tex]\begin{gathered} A=\frac{1}{2}\cdot(4\operatorname{cm})^2\cdot\frac{1}{6}\pi \\ A=\frac{1}{2}\cdot16\operatorname{cm}^{2}\cdot\frac{1}{6}\pi=\frac{4}{3}\pi \end{gathered}[/tex]

Answer

The area of the shaded region is:

[tex]A=\frac{4}{3}\pi cm^{2}[/tex]

Solve: 5|4x+5|−2≤33 Give your answer as an interval. If no solutions exists - enter No solutions.

Answers

The expression given is,

[tex]5|x-3|+3>7[/tex]

Subtract 3 from both sides

[tex]\begin{gathered} 5|x-3|+3-3>7-3 \\ 5|x-3|>4 \end{gathered}[/tex]

Divide both sides by 5

[tex]\begin{gathered} \frac{5|x-3|}{5}>\frac{4}{5} \\ |x-3|>\frac{4}{5} \end{gathered}[/tex]

Apply absolute rule:

[tex]\begin{gathered} x-3<-\frac{4}{5}\text{ or x-3>}\frac{4}{5} \\ \end{gathered}[/tex]

Add 3 to both sides

[tex]\begin{gathered} x-3+3<-\frac{4}{5}+3\text{ or x-3+3>}\frac{4}{5}+3 \\ x<\frac{11}{5}\text{ or x>}\frac{19}{5} \end{gathered}[/tex]

Therefore, the answer has the form:

[tex](-\infty,A)\cup(B,\infty)[/tex]

Hence, the solution using interval notation is

[tex](-\infty,\frac{11}{5})\cup(\frac{19}{5},\infty)[/tex]

Other Questions
I need some help with this (and no this is not a test) Graph, on a separate piece of paper, the equation of a line with a slope of 3 and a y-intercept of 2.Select the points that appear on the graph.Multiple select question.cross outA)(0, 0) cross outB)(0, 2) cross outC)(1, 1) cross outD)(1, 1) cross outE)(2, 0) I need help doing this its the homework but I need to understand it for the test geometric series in context What are the coordinates of the midpoint of segment whose endpoints are A(-2,7) and B(4,-2)? 2x + y = 2Step 2 of 2: Determine the missing coordinate in the ordered pair (?, -3) so that it will satisfy the given equation. PLEASE HELP!!!!!Which of the following equations represents the line that passes through the point (4, 3) and has a slope of 1/2?A) 2x-3y=-18B)2x-3y=17C)3x-2y=-17D)3x-2y-18 A football player runs from his own goal line to the opposing team's goal line, returning to his twenty-yard line, all in 27.0 s. Calculate his average speed and the magnitude of his average velocity. (Enter your answers in yards/s.)HINTApply the definitions of average speed and average velocity.Click the hint button again to remove this hint.(a) Calculate his average speed. ____yards/s(b) Calculate the magnitude of his average velocity. ____yards/s Identify the constant of variation. 8y-7x=0 What were some of the reasons slavery was used more in the Southern United States than the north? Why did the sale of indulgences become a critical point of focus during the renaissance but not during the middle ages?. Write an inequality, in slope-intercept form, for the graph below. If necessary,use "=" for >.5(-3,0)5(0, -3) I will provide another picture with the questions to this problemBefore beginning: please note that this is lengthy, pre calculus practice problem what persuasive technique does Lincoln use in the last paragraph of his speech? how does this technique relate to his argument? In a long run equilibrium in a perfectly competitive market we should expect to see thatA. Firms are producing the largest output B. The average variable costs are bigger than the average fixed costs C. The marginal cost of firms is the average total cost D. Firms make 0 profit 100 POINTS!!! MY LAST CHANCE PART 2 Which of the following do semicolons not do? Join an independent clause with a dependent clause Join clauses with a conjunctive adverb THIS ONE IS WRONG!! Join two independent clauses Join items in a serial list__________________________________________________________Which of the following sentences properly uses semicolons in a serial list? There is so much you can do to cut down on waste; such as composting, which uses food waste to help plants grow, recycling, which keeps plastic, metal, and glass out of landfills, and thrifting, which cuts down on clothing waste from fast fashion. There is so much you can do to cut down on waste, such as composting, which uses food waste to help plants grow; recycling, which keeps plastic, metal, and glass out of landfills; and thrifting, which cuts down on clothing waste from fast fashion. THIS ONE IS WRONG!! There is so much you can do to cut down on waste, such as composting; which uses food waste to help plants grow; recycling; which keeps plastic; metal; and glass out of landfills; and thrifting; which cuts down on clothing waste from fast fashion. There is so much you can do to cut down on waste; such as composting; which uses food waste to help plants grow, recycling; which keeps plastic, metal, and glass, out of landfills, and thrifting; which cuts down on clothing waste from fast fashion.____________________________________________________________Which of the following sentences properly uses a semicolon to join two independent clauses? There have been incredible updates in vegan food in the 21st century; vegan cheese didn't even melt just 10 short years ago, and now it's delicious. THIS ONE IS WRONG!! There have been incredible updates in vegan food. In the 21st century, vegan cheese didn't even melt just 10 short years ago; and now it's delicious.There have been incredible updates in vegan food in the 21st century vegan cheese didn't even melt just 10 short years ago; and now it's delicious. There have been incredible updates; in vegan food in the 21st century, vegan cheese didn't even melt just 10 short years ago, and now it's delicious. the d score is a standardized measure of the degree to which the independent variable caused a change in the dependent variable. this is also known as the A box has 14 candies in it: 3 are taffy, 7 are butterscotch, and 4 are caramel. Juan wants to select two candies to eat for dessert. The first candy will be selectedat random, and then the second candy will be selected at random from the remaining candies. What is the probability that the two candies selected are taffy?Do not round your intermediate computations. Round your final answer to three decimal places. Divide. Enter the correct answer.17+2= The given point (-3,-4) is on the terminal side of an angle in standard position. How do you determine the exact value of the six trig functions of the angle?