please help me lol aaaaa

Please Help Me Lol Aaaaa

Answers

Answer 1

Answer:

−0.125 or - 1/8

Step-by-step explanation:


Related Questions

HELP ME ASAP!!! I WILL MARK BRAINLIEST!!

Answers

Answer:

76.95

Step-by-step explanation:

9.5X8/1(8.1 IS THE NUMBER YOU MULTIPLY IT BY)=76.95

Please Assist!
What is the answer to this question???

Answers

Answer:

[tex](-5,\frac{1}{2} )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

R(-2, 3)

S(-8, -2)

[tex](\frac{-2+-8}{2},\frac{3+-2}{2} )[/tex]

[tex](\frac{-10}{2},\frac{1}{2} )[/tex]

[tex](-5,\frac{1}{2} )[/tex]

Evaluate each expression.
b)

d)
169 cm2:13x13=169 13cm by cm

2500 cm2:50x50=2500 50cm by cm

/8
a) 2 + (10 − 3) =2+(10-3)
c)
(4 + 3)2 − (3 − 1)3 =
= 2+(7)=10

=


=






11.






b) (3 + 5) × 6 ÷ 3 + (8 + 52)
d)
18 + (4 + 5)2 × 2
=
=(7)x6/3+(177)


=
=(42/30


=
=


=
=



=

Answers

Answer:

atleast 1

Step-by-step explanation:

Is 8.25 greater, equal or less than 8.250

Answers

Answer:

If this is basic mathematics its =

Step-by-step explanation:

You won't have to worry about sig figs until chemistry.

Dave owns Dave's Donut Shop and must make decisions about how much to charge for donuts. As a businessowner he wants to attract a lot of customers as well as make a lot of money (revenue). The amount of revenue Dave makes can be modeled by the equation R = (p-1)(200 - 40p), where p represents the price of one donut and R represents the total revenue. Use as many strategies as you can to figure out the questions below. 0 At what price will Dave break even (make no revenue)? How much should Dave charge to maximize his revenue? What is the most money Dave can make? Dave made $100 from donut sales. How much must he have charged per donut?​

Answers

Answer:

2430

Step-by-step explanation:

The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:

The break even price is at $1 and $5To maximize his revenue, he as to charge $3The most money he can make is $160He charged $4.225 or $1.775 to make $100.

Given that:

[tex]R = (p - 1)(200 - 40p)[/tex]

To calculate the break even, we set R to 0.

So, we have:

[tex](p - 1)(200 - 40p) =0[/tex]

Split

[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]

Solve for p

[tex]p = 1[/tex] or [tex]40p = 200[/tex]

Divide by 40 in the second equation

[tex]p=1[/tex] or [tex]p =5[/tex]

The break even price is at $1 and $5

To maximize his revenue, we have:

[tex]R = (p - 1)(200 - 40p)[/tex]

Open bracket

[tex]R = 200p - 200 - 40p^2 + 40p[/tex]

Rewrite as:

[tex]R = - 40p^2+ 200p + 40p- 200[/tex]

[tex]R = - 40p^2+ 240p- 200[/tex]

Differentiate

[tex]R' = -80p + 240[/tex]

Equate to 0 and solve for p

[tex]-80p + 240=0[/tex]

[tex]-80p =- 240[/tex]

Divide by -80

[tex]p = 3[/tex]

To maximize his revenue, he as to charge $3

The most money he can make is calculated as:

[tex]R = (p - 1)(200 - 40p)[/tex]

Substitute [tex]p = 3[/tex]

[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]

[tex]R = (3 - 1)(200 - 120)[/tex]

[tex]R = 160[/tex]

The most money he can make is $160

The charges he sold when he made $100 is:

[tex]R = - 40p^2+ 240p- 200[/tex]

Substitute 100 for R

[tex]- 40p^2+ 240p- 200=100[/tex]

Collect like terms

[tex]- 40p^2+ 240p- 200-100=0[/tex]

[tex]- 40p^2+ 240p- 300=0[/tex]

Divide through by -20

[tex]2p^2- 12p+ 15=0[/tex]

Using quadratic formula, the solution of p is:

[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]

So, we have:

[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]

[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]

[tex]p = \frac{12 \± 4.90 }{4}[/tex]

Split

[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]

[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]

[tex]p = 4.225\ or\ p = 1.775[/tex]

He charged $4.225 or $1.775 to make $100.

Read more about revenue and price at:

https://brainly.com/question/11859895

Plzz help I don’t get it

Answers

You need to add your angles together to get the letter.
Add all of the angles together

Find the difference in lowest term 7/18 - 3/18

Answers

Answer:

2/9

Step-by-step explanation:

4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9

Hope that helps and have a great day!

HELP PLEASEEEEEEEEEEE

Answers

Answer:

I not see the number 2

I think that is number 2

Answer:

first and last one should be the answer (not sure about the first, cant see it too good)

list four advantages and disadvantages of measures of location​

Answers

Step-by-step explanation:

Advantages of using measures of dispersion are that it gives us a better idea of the range in which an average was calculated and it is easy to calculate and understand. A disadvantage of using measures of dispersion is that it is a broad measurement because it only shows the maximum and minimum values of data.

Determine which of the values is a solution of 17 - 2x > 5.
(-10) (-4) (0) (3) (6) (10)
ILL GIVE SOMEONE THE BRAINIEST IF THEY HELP !

Answers

Answer:  x ≤ 6

Solution:  -10, -4, 0, 3, 6

Not a solution: 10

Plz mark brainliest:)

The answer to the inequality is [tex]x[/tex] ≤ [tex]6[/tex]

First, you must subtract 17 on both sides

[tex]-2x[/tex] ≥ [tex]-12[/tex]

Then, you must divide -2 on both sides.

[tex]x[/tex] ≥ [tex]6[/tex]

Finally, since x was changed from negative to positive using division, switch the inequality sign.

[tex]x[/tex] ≤ [tex]6[/tex]

Mathematics question in my homework
2x+1=4
x=?

Answers

Answer:

x = 3/2

Step-by-step explanation:

2x = 4-1

2x = 3

x = 3/2

hope it will be helpfull

3х3 - 2х2
Simplify if not possible write simplified

Answers

Answer:

[tex] \large{3 \times 3 - 2 \times 2}[/tex]

[tex] \large{9 - 4}[/tex]

[tex] \large{5}[/tex]

True or false? The value zc is a value from the standard normal distribution such that P(−zc < z < zc) = c.

Answers

Answer:

False

Step-by-step explanation:

The standard normal distribution is represented by P(-zc < z < zc) = c

From this, you see that -zc is less than the variable of interest z and z is less than zc.

The equation simply means that the probability that -zc is less than z and z is less than zc, is c.

The value zc is NOT a value from the above distribution. All values in the distribution are of the variable z. For example, z might be equal to 1, z might be equal to 6, but the variable of interest in the distribution is z, not zc.

Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?

270 degree rotation about point 0 composition. Translation of negative 2 units x, 0 units y.
Translation of negative 2 units x, 0 units y composition 270 degree rotate about point 0.
270 degree rotation about point 0 composition reflected across the y-axis
Reflected across the y-axis composition 270 degree rotation about point 0.

Answers

Answer:

270 degree rotation about point 0 composition .translations of negative 2 units

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Took the test

Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83¯ hour.
Who runs faster? Use the drop-down menu to show your answer.

Answers

Answer:

Ava

Step-by-step explanation:

because we multiply by 3 miles, 50 minutes, 0.83

and you get 124.5

its not maura because if you multiply 5 miles, by 1.25 hours you get 6.25

sorry if wrong! hope this helps!

g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.

Answers

Answer:

Main difference between circle & ellipse

Step-by-step explanation:

Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel

Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets

Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question

Explanation:

Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord  and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not  have major and minor axis length both are different.

Thus we conclude that cricle is totally different from ellipse

To know more about cricle and ellipse

https://brainly.com/question/9689499

The cost of a taxi ride is represented by the function c(m)=2m +4, where m is the number of miles traveled. Use the graphing tool to graph the function​

Answers

Answer:

So first you must understand what your function represents the 2 is your (slope of the line) the +4 is the y intercept.

So you need to plot a point at (0,4) and then you need to use the slope to go up 2 units over 1 unit. And you need to use the negative of the slope to the left of the point you plotted on the y - int so you need to go down 2 units and left 1.

Hope you understood if you didn't drop a comment and I will try to reply.

Chantel graphs S and T. The corresponding angles are congruent. The side lengths of T are 5 times as long as the corresponding side lengths of S. Can you give a sequence of transformations that will map S onto T?

Answers

Answer:

Turn it by 90 degrees

Step-by-step explanation:

Question is too vague sorry if this doesn't help

Answer:

fernanda i have no idea how to do this

Step-by-step explanation:

Joe and Ben are saving money for a new x-box game. Joe has saved $15.00 in 2 weeks and $37.50 in 5 weeks. Ben's savings are represented by the equation
y=8.25x
y=8.25x
.
Find the difference in their savings each week?

Answers

Answer:

37.50/5 = $7.50/week

so the difference is 8.25-7.50 = $0.75/week

Step-by-step explanation:

3/5 x 1/7 please help

Answers

3/5 x 1/7 = 3/35, characters

Answer:

3/35

Step-by-step explanation:

3*1=3

5*7=35

3/35

Write the equation of the line that passes through the points (-2, -3)
and (-8,3). Put your answer in fully reduced point-slope form, unless
it is a vertical or horizontal line.

Answers

Answer:

[tex]\huge\boxed{y+3=-(x+2)}\\or\\\boxed{y-3=-(x+8)}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

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

Put the coordinates of the given point:

(-2, -3); (-8, 3)

[tex]m=\dfrac{3-(-3)}{-8-(-2)}=\dfrac{3+3}{-8+2}=\dfrac{6}{-6}=-1\\\\\text{for}\ (-2;\ -3)\\\\y-(-3)=-1(x-(-2))\\\\y+3=-(x+2)\\\\\text{for}\ (-8;\ 3)\\\\y-3=-1(x-(-8)\\\\y-3=-(x+8)[/tex]

Tracy plans to serve punch along with the chicken wings. According to her calculations, two times the amount of punch needed is more than 4 liters. Write an inequality for y, the amount of punch needed to serve at Tracy’s party.

Answers

Answer:

word problems are pretty tricky

Step-by-step explanation:

y= punch

2*y > 4  Liters

y >2 Liters

Answer:2y>4

Step-by-step explanation:

Two times the amount of punch needed =2y. Because this amount must be greater than 4 liters, the inequality is given by 2y>4

A researcher conducts two studies. Each study was a one-sample z test. Both studies placed the rejection region in both tails and measured the same sample mean. The beat level in Study 1 was larger than the beta level used in Study 2. Which study is associated with greater power to detect an effect

Answers

Answer:

Study 2 will produce a greater power to detect an effect because it has a lower beta level

Step-by-step explanation:

Generally, alpha level is the probability of rejecting the null hypothesis when it's true. Whereas beta level is the opposite and it's the probability of accepting the null hypothesis even though it’s false.

Now, in statistics the lower the alpha level, the more we require a stronger evidence. Thus, a higher alpha level is usually required to produce a stronger evidence.

Now, an increase in alpha level means a decrease in beta level and a decrease in alpha level means an increase in beta level.

This means that the lower the beta level, the greater is the power to detect an effect.

Now, we are told that the beta level in study 1 was larger than the beta level used in Study 2.

Thus, study 2 will produce a greater power to detect an effect because it has a lower beta level

Sunflower
Post Malone, Nicky Jam, ...
Ayy, ayy, ayy, ayy (ooh)
Ooh, ooh, ooh, ooh (ooh)
Ayy, ayy
Ooh, ooh, ooh, ooh
Needless to say, I keep her in check
She was a bad bad, nevertheless (yeah)
Callin' it quits now, baby, I'm a wreck (ayy)
Crash at my place, baby, you're a wreck (ayy)
Needless to say, I'm keepin' her in check
She was a bad bad, nevertheless
Callin' it quits now, baby, I'm a wreck
Crash at my place, baby, you're a wreck
Thinkin' in a bad way, losin' your grip
Screamin' at my face, baby, don't trip
Someone took a big L, don't know how that felt
Lookin' at you sideways, party on tilt
Ooh, some things you just can't refuse
She wanna ride me like a cruise
And I'm not tryna lose
Then you're left in the dust
Unless I stuck by ya
You're a sunflower
I think your love would be too much
Or you'll be left in the dust
Unless I stuck by ya
You're the sunflower
You're the sunflower
Every time I'm leavin' on ya (ooh)
You don't make it easy, no, no (no)
Wish I could be there for ya
Give me a reason to (to, to)
Oh, every time I'm walkin' out (ayy)
I can hear you tellin' me to turn around
Fightin' for my trust and you won't back down
Even if we gotta risk it all right now, oh (now)
I know you're scared of the unknown (known)
You don't wanna be alone (alone)
I know I always come and go (and go)
But it's out of my control
And you'll be left in the dust
Unless I stuck by ya
You're the sunflower
I think your love would be too much
Or you'll be left in the dust
Unless I stuck by ya
You're the sunflower
You're the sunflower
(Yeah)

Answers

Sunflower by Malone into the spider verse is answer lol

Answer:

ok

Step-by-step explanation:

heres a memeeeee

15 POINTS!!!

Based on a life insurance company's past data, each year an average of 1/90 policy holders
make a claim of $250; 1/100 policy holders make a claim of $12,000, and 1/400 make a claim
of $17,000. What would the insurance company have to charge per policyholder to break
even?

Answers

Answer:

1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165.  So that's what the premium would have to be in order to get a profit of 0.

 

2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.

 

3. The expected profit on 375 policies would be 375 * 185 = $69375

Step-by-step explanation:

Triangle A B C is reflected across the line of reflection m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point B prime 270 degrees to form triangle A double-prime B double-prime C double-prime.
Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?




Answers

Answer:

it is D trust me

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

the way you can figure this out is by looking at the figures and finding what transformation came first because of the number of prime notations on a letter in a figure. in this case is was ABC first then A'B'C' then A''B''C''

using that we can now determine the order of how the composition will be written. the first step of the composition is the left most part and the last part of the composition is the right most part. basicly the order is left to right.

we see that figure ABC is reflected across the line m to create the figure A'B'C' relections are written like r for the relection and the sub letter is the line the figure is reflected across to in this case it would be written as r sub m meaning that r sub m is the 2nd part of the composition.

the 2nd step in the composition is when figure A'B'C' turns into figure A''B''C'' the way we find out its transformation is determine whether it was slid or if it was rotated aroound a point of rotation. here we have a rotation. now we got to determine what the center of roation is. in this case its B'. looking at the options there is no negative -90 degrees which means that the rotation happened counter clockwise because all valuse are positive. counter clockwise is to the left. now simple math figure A'B'C 180 degrees would make it need 90 more degrees so 180+90=270 thats the degree of the roation around point B'

rotations are written as R sub point of rotation, __ degrees. in our case it is r sub B', 270 degrees. this is the second step so it will be on the right of the equation.  the full equation turns out to be R sub B', 270 degrees composition of transformations r sub m.

it must be that way because if you rotated the figure first then reflected it it would look like an entirely different image.

pls give brainliest

A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)

Count the number of ways in which four cards, each of a different face value, can be chosen.
ways

Answers

Answer:

17160

Step-by-step explanation:

first there are 13 options

then there are 13 - 1 that was chosen

then there are 13 - 2 that were chosen

then there are 13 - 3 that were chosen

so that's 13 options, then 12 options, then 11 options, and then 10 options

and in order to figure out all of the possibilties we mutiply the options so

13*12*11*10 = 17160

little further explaining of why this works:

we have a set of letters (3 in a set)

A B C

what are the possible combinations?

AB

AC

BC

BA

CA

CB

the answer is 6 which is also 3 * 2 * 1 = 6

HOPE THAT HELPS!1! ^_^

Using the Fundamental Counting Theorem, it is found that there are 28,561 ways in which four cards, each of a different face value, can be chosen.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, four cards are chosen, each with 13 ways, hence [tex]n_1 = n_2 = n_3  = n_4 = 13[/tex], and:

[tex]T = 13 \times 13 \times 13 \times 13 = 13^4 = 28561[/tex]

There are 28,561 ways in which four cards, each of a different face value, can be chosen.

A similar problem is given at https://brainly.com/question/19022577

The​ homoskedasticity-only F​-statistic and the​ heteroskedasticity-robust F​-statistic typically​ are:

Answers

Answer:

The​ homoskedasticity-only F​-statistic and the​ heteroskedasticity-robust F​-statistic typically​ are different.

Step-by-step explanation:

An F statistic is a value derived by running an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.

The homoskedasticity-only” F-statistic is derived by running two regressions, one under the null hypothesis and one under the alternative hypothesis. If the “unrestricted” model fits sufficiently better, reject the null.

In the first regression, the restricted regression (the null hypothesis) is forced to be true. This is the regression in which all the coefficients are set to zero; the relevant regressors are excluded from the regression. In the second regression, the unrestricted regression, the alternative hypothesis is allowed to be true. If the sum of squared residuals is sufficiently smaller in the unrestricted than the restricted regression, then the test rejects the null hypothesis

The heteroskedasticity-robust F-statistic is built in to STATA (“test” command); this tests all q  restrictions at once.

The homoskedasticity-only F-statistic is important historically (and also in practice), and can  help intuition, but isn’t valid when there is heteroskedasticity

Write the equation and slope intercept form: y-4=2(x+3)

Answers

Answer:

y = 2x + 10

Step-by-step explanation:

Remember, slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.

y - 4 = 2(x + 3)

Distribute the 2 on the right side.

y - 4 = 2x + 6

Add 4 to both sides.

y = 2x + 10

Notice, now we have the equation in slope-intercept form.

I hope this helps. Happy studying.

An ordered pair that satisfies all the equations in a linear system of equations is called a(n) __________ of the linear system.​

Answers

Answer:solution

Step-by-step explanation:

An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.

A linear function is a function that has a positive relationship between its variables.

Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.

Mathematically, the graph of a linear function is a straight-line and its slope is always constant.

On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.

Read more: https://brainly.com/question/24085666

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The corporation cannot be sued there as well as in its home state.TrueFalse This activity is important because any business that offers multiple product lines to multiple market segments is faced with the task of making the product/market decisions and prioritizing those decisions. Products and market segments that are growing quickly and are very profitable should get more attention and resources than a product and market segment that does not show as much potential. Once a marketing manager creates a market-product grid, they must select which segments to target. To do this, the marketing manager should use several criteria in assessing the different segments. Those criteria include: market size, expected growth, competitive position, cost of reaching the segment, and the compatibility with the organization's objectives and resources. The goal of this exercise is to demonstrate your understanding of the market-product development process by analyzing a gift shop's markets and products. Read the case below and then answer the questions that follow as you consider its markets and product offerings. A small local gift shop recently marked its 25th anniversary of being in business. Over that time, the owners have continually changed the products sold in its store to reflect changes in the market. From the early days of selling small gift-type items such as figurines and collectibles, the store now offers a more eclectic mix of merchandise that includes Vera Bradley purses and inexpensive jewelry, as well as items that could be classified as "gift-type" products and merchandise that is best described as "collectibles." However, the demographics of the store's market, as well as the needs of that market, seem to be changing. 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In a Petri dish a certain type of bacterium doubles in number every 40 minutes,there were originally 64,or 2^6,bacteria in the dish after 20 minutes,the number of bacteria has doubled 3 times,multiplying by 2^3.Now the population of bacteria is 2^62^3. Expressed as a power,how many bacteria are in the Petri dish after 120 what was the reason for founding the colony of rhode island? Promises Made in Consideration of Marriage. After twenty-nine years of marriage, Robert and Mary Lou Tuttle were divorced. They admitted in court that before they were married, they had signed a prenuptial agreement. They both acknowledged that the agreement had stated that each would keep his or her own property and anything derived from that property. Robert came into the marriage owning farmland, while Mary Lou owned no real estate. During the marriage, ten different parcels of land, totaling about six hundred acres, were acquired, and two corporations, Tuttle Grain, Inc., and Tuttle Farms, Inc., were formed. A copy of the prenuptial agreement could not be found. Required:Can the court enforce the agreement without a writing? Why or why not? An artery of radius 3 mm sends blood to three smaller arteries that are all the same size. Each of the smaller artermuch blood to flow as the larger artery does. What is the radius, in mm, of one of the smaller arteries?A)3B)3T1C)V3D)2/3 please can i have help with this question What was one reason for the expansion of machine politics in the late nineteenth century? PLEASE HELPPP!!!The graph of y = ax2 + C contains the point (2, 14). Which point lies on the graph ofy= a(x - 2)2 + c?A. (4, 14) B. (2, 16)C. (0, 14)D. (2, 12) What is -2x-4y=36 written in slope-intercept form?Question 3 options:y=12x+9y=12x+9y=2x9y=12x9I will give a brainliest Can someone help me on questions 10-15 Does las Casas believe the Spaniards actions to be in accordance with the beliefs of Christianity? Which of the following could be the ratio between the lengths of the two legsof a 30-60-90 triangle?Check all that apply.OA. VE2 B. 1: 13C. 5 : 13OD. 2.5: 6E. 1: 2OF. : 3 what's for the last 1? Approximate the value of the positive square root of 110 to the nearest hundredth Introduction: Match the philosopher with the idea that he supported,Thomas HobbesJohn LockeHe favored absolute rule.Life is "nasty, brutish, and short."People are naturally reasonablePeople have "natural rights."He opposed absolute ruleRulers must respect rightsPeople are naturally selfish Which pairs of angles are always congruent? (select all that apply)Corresponding AnglesSame Side Exterior AnglesAlternate Exterior AnglesLinear Pair AnglesVertical AnglesSame Side Interior AnglesAlternate Interior Angles Valerie is going to purchase a new car. The car she wants has a list price of $32,495. Valerie is planning to make adown payment of $1,877. Furthermore, she plans to trade in her current car, which is a 2006 Hyundai Sonata in goodcondition. She will finance the rest of the cost by making monthly payments over five years. She can finance the costat a rate of 8.64%, compounded monthly. She will also have to pay 8.23% sales tax, a $2,243 vehicle registration fee,and a $314 documentation fee. If the dealer gives Valerie 87.5% of the trade-in price on her car, listed below,approximately how much will Valerie pay in total for her new car? (Round all dollar values to the nearest cent, andconsider the trade-in to be a reduction in the amount paid.)OPEN TOP TO SEE ANSWER!!!!