How do you solve this geometry question?

How Do You Solve This Geometry Question?

Answers

Answer 1

The statement that <A > <C and <B > <D has been proved

How to prove that <A > <C and <B > <D?

In geometry, the side length opposite the largest angle is the longest side.

Similarly, the side length opposite the smallest angle is the shortest side.

From the given figure of quadrilateral, we have the following sides in increasing order:

Side length ABSide length BCSide length ADSide length CD

The angles opposite the side lengths are:

Angle DAngle BAngle CAngle A

This means that:

<A > <C and <B > <D

Hence, the statement that <A > <C and <B > <D has been proved

Read more about mathematical proofs at:

https://brainly.com/question/1788884

#SPJ1


Related Questions

The y-intercept of the graph of y=-7x+140y is located at (0, c) What is the value of c ?

Answers

The y-intercept of the graph is located at (0, 0). So, the value of c is 0.

What is graph?

A graph is a visual representation of data that displays the relationship between two or more variables. It consists of a set of points, called vertices or nodes, which are connected by lines or curves, called edges or arcs. The vertices represent the variables, while the edges represent the relationship between them.

To find the y-intercept of the graph of y = -7x + 140y, we need to substitute x = 0 into the equation and solve for y. This will give us the y-coordinate of the point where the graph intersects the y-axis.

Substituting x = 0, we get:

y = -7(0) + 140y

y = 140y

Simplifying the equation, we get:

139y = 0

Dividing both sides by 139, we get:

y = 0

Therefore, the y-intercept of the graph is located at (0, 0). So, the value of c is 0.

To learn more about graph visit:

https://brainly.com/question/19040584

#SPJ1

What is the slope of 8,2 & 8,4

Answers

Answer:

infinity

Step-by-step explanation:

No fr it is that i even double checked by looking it up

two vectors are linearly dependent if and only if they are collinear.
true
false

Answers

True Two vectors are linearly dependent if and only if they are collinear, i.e., one is a scalar multiple of the other.

Find the value of x and EF. A and B are midpoints.

Find the value of x and EF. A and B are midpoints.

Answers

Answer:

x = 5.5

EF = 14

Step-by-step explanation:

We can use ratios to solve

AG                  7

----------- =  -----------------

EG                   2x+3

We know that EG is 2 times AG since A is the midpoint

AG                  7

----------- =  -----------------

2 AG                   2x+3

Canceling like terms

1                  7

----------- =  -----------------

2                    2x+3

Using cross products

1 (2x+3) = 2*7

2x+3 = 14

Subtract 3 from each side

2x+3-3 = 14-3

2x =11

Divide by 2

x = 11/2

x = 5.5

EF = 2x+3 = 2*5.5+3 = 14

Use the binomial series to find the Maclaurin series for the function.
f(x) = 1/((1+x)^4)

Answers

The Maclaurin series for the function f(x) = 1/((1+x)^4) using the binomial series is: f(x) = ∑(n=0 to infinity) (-1)^n * (n+3) * x^n / 4!

To find the Maclaurin series for the function f(x), we can use the binomial series, which states that:

(1+x)^r = ∑(n=0 to infinity) (r choose n) * x^n (where (r choose n) = r! / (n! * (r-n)!).)

In this case, we have:

f(x) = 1/((1+x)^4)

We can rewrite this as:

f(x) = (1+x)^(-4)

Using the binomial series, we get:

(1+x)^(-4) = ∑(n=0 to infinity) (-1)^n * (-4 choose n) * x^n

Simplifying the expression for (-4 choose n), we get:

(-4 choose n) = (-4)! / (n! * (-4-n)!) = (-1)^n * (n+3)! / (4!)

Substituting this back into the binomial series, we get:

(1+x)^(-4) = ∑(n=0 to infinity) (-1)^n * (n+3)! / (4! * n!) * x^n

Simplifying the expression for (n+3)! / (4! * n!), we get:

(n+3)! / (4! * n!) = (n+3)(n+2)(n+1)/24

Substituting this back into the expression for f(x), we get:

f(x) = ∑(n=0 to infinity) (-1)^n * (n+3)(n+2)(n+1)/24 * x^n

Simplifying the expression for (n+3)(n+2)(n+1)/24, we get:

(n+3)(n+2)(n+1)/24 = (1/4!) * (n^3 + 6n^2 + 11n + 6)

Substituting this back into the expression for f(x), we get:

f(x) = ∑(n=0 to infinity) (-1)^n * (n^3 + 6n^2 + 11n + 6) / 4! * x^n

Simplifying the expression for (-1)^n * (n^3 + 6n^2 + 11n + 6), we get:

(-1)^n * (n^3 + 6n^2 + 11n + 6) = (-1)^n * (n+1)(n+2)(n+3)

Substituting this back into the expression for f(x), we get:

f(x) = ∑(n=0 to infinity) (-1)^n * (n+1)(n+2)(n+3) / 4! * x^n

This is the Maclaurin series for the function f(x).

To know more about Maclaurin series refer here:

https://brainly.com/question/32263336#

#SPJ11

A researcher wants to determine if the number of calories burned during an hour is the same for running and walking. What type of data would be measured?

Group of answer choices

scale

nominal

independent t test

ANOVA

Answers

The researcher wants to determine if the number of calories burned during an hour is the same for running and walking. To conduct this investigation, the researcher would measure continuous scale data.

Continuous scale data is quantitative data that can take any numerical value within a certain range.

In this case, the researcher would measure the number of calories burned, which is a continuous variable that can have various values within a specific range (e.g., 0, 100, 200, etc.).

By measuring the calories burned for both running and walking, the researcher can compare and analyze the numerical data to determine if there is a significant difference between the two activities.

It is important to note that the type of statistical analysis required to evaluate the data would depend on the specific research design and the number of groups involved.

If the researcher is comparing only two groups (running and walking), an independent t-test may be appropriate.

On the other hand, if there are more than two groups or additional factors being considered, an analysis of variance (ANOVA) might be more suitable.

The choice of statistical analysis method would depend on the specific research question and study design.

To know more about scale data refer here:

https://brainly.com/question/28302985#

#SPJ11

How do you find the domain and range of a sequence?

Answers

A sequence is a function whose domain is the set of natural numbers or a subset of the natural numbers.

The domain basically can be defined a set of all possible inputs for the function.

The range  is basically the difference between the highest and the lowest numbers of a sequence.

To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The difference gives you the range of the list.

The domain of a sequence consists of the natural (counting) numbers 1, 2, 3, 4, ...Whereas the range of a sequence consists of the terms of the sequence.

Learn more about the Domain and Range here :

https://brainly.com/question/10197594

#SPJ4

Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Are the given families of curves orthogonal trajectories of each other? That is, is every curve in one family orthogonal to every curve in the other family? x^2 + y^2 = ax
x^2 + y^2 = by

Answers

Yes, the given curves are orthogonal.

What is orthogonal trajectory?

In mathematics, an orthogonal trajectory is a curve, which intersects any curve of a given pencil of (planar) curves orthogonally.

Given equation is,

x²+y²=ax

Differentiating,

2x+2yy'=a

y' = (a-2x)/2y = m1

Again,

x²+y²=by

Differentiating,

2x+2yy'=by'

y' = -2x/(2y-b) = m2

For both curves are orthogonal, we have

m1*m2 = -1

(a-2x)/2y*-2x/(2y-b)  = -1

-2ax+4x² = -4y²+2yb

4(x²+y²) = 2ax+2yb

Since, ax = (x²+y²)

by = (x²+y²)

Then,

4(x²+y²) = 2(x²+y²) +2(x²+y²)

4(x²+y²) = 4(x²+y²)      (true)

Hence, the above response is appropriate.

Learn more about orthogonal here:

brainly.com/question/20308962

#SPJ1

Using the same facts as #16, how long would it take to pay off 60% of the a. About 45 months b. About 50 months c. About 55 months d. About 37 months

Answers

To calculate how long it would take to pay off 60% of the debt,

we can use the same facts as in problem #16. Let's go through the steps:

1. Determine the total amount of debt: Find the original debt amount given in problem #16.

2. Calculate 60% of the debt: Multiply the total debt by 0.6 to find the amount that represents 60% of the debt.

3. Divide the amount obtained in step 2 by the monthly payment: This will give us the number of months it will take to pay off 60% of the debt.

Now, let's apply these steps to the options provided:

a. About 45 months: To determine if this is the correct answer, we need to perform the calculations outlined above using the original debt amount and the monthly payment given in problem #16.

b. About 50 months: Same as option a, perform the calculations using the original debt amount and the monthly payment.

c. About 55 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

d. About 37 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

After performing the calculations for each option, compare the results with the options provided to find the correct answer.

To Learn more about amount of debt:

https://brainly.com/question/28929846

#SPJ11

Answer with explaination every steps​

Answer with explaination every steps

Answers

Answer:

y = - 35

Step-by-step explanation:

Expressing as a fraction , that is

\(\frac{y}{-7}\) = 5 ( multiply both sides by - 7 to clear the fraction )

y = - 35

Which two lengths for a ratio of 1:2

Which two lengths for a ratio of 1:2

Answers

Answer:

D. AI. EF

HERE AI is radius of circle while EF is diameter of the circle hence the ratio would be 1:2

indicate the answer choice that best completes the statement or answers the question. 1. how many different samples of size 3 (without replacement) can be taken from a finite population of size 10? a. 30 b. 1,000 c. 720 d. 120

Answers

The correct option is option (d).

Using Combination,

Total 120, different samples of size 3 (without replacement) can be taken from a finite population of size 10.

Population size: The population is the entire group of guesses. A sample is a specific group for which you collect data. It is denoted by N.

Sample Size: The sample size is always smaller than the total size of the population. A sample is a subset of the population set. It is denoted by n.

we have given that , n = 3 and N = 10

Using the following formula for calculating the possible number of different samples of size 3 (without replacement) can be taken from a finite population of size 10.

Number of possible different samples of size n from Population size N = NCn = N!/n! (N-n)!

then we have, 10C3 = 10!/3! × 7!

=> 10×9×8/3×2 = 15×8 = 120

Hence, 120 different samples of size 3 (without replacement) is possible from Population of size 10.

To learn more about Number of samples from population,

https://brainly.com/question/29494439

#SPJ4

A company sells two different safes. The safes have different dimensions, but the same volume. What is the height of Safe B?



Safe A is a rectangular prism with a length of 18 inches, a width of 15 inches, and a height of 24 inches. Safe B is a rectangular prism with a length of 18 inches, a width of 18 inches, and a height of h inches

Answers

Answer:

125/6

Step-by-step explanation:

So if these two have the same volume it is just the sense of plugging number in. Let’s first find the whole volume of cube a


Cube A : L x W x H

             18 x 15 x 25

             270 x 25

             6750 inches cubed


now let’s find what we know of cube b


Cube B: L x W x H

             18 x 18 x h

             324 x h


Now we know that in order for the volumes to be the same, we have to find a number that when multiplied by 324 would give us 6750. We can do this by dividing the two numbers


6750 / 324

125/6


when we multiply

18 x 18 x (125 / 6)

We get a volume of 6750


lmk if this helps

The height of safe B is 20 inches.

How do you determine the volume of a rectangular prism?

The volume of a rectangular prism is the product of all its dimensions.

∴ The volume of a rectangular prism = height*width*length

How do we solve the given question?

We are given dimensions of two safes A and B, in the shape rectangular prism.

Denoting safe A with subscript 1, and the safe B with subscript, we get:

l₁ = 18 inches, w₁ = 15 inches, h₁ = 24 inches.

l₂ = 18 inches, w₂ = 18 inches, h₂ = h inches.

We are told that the volumes of the safe A and B are equal, so

The volume of safe A = The volume of safe B

or, 18*15*24 = 18*18*h

or, h = (18*15*24)/(18*18) = 20

∴ The height of safe B is 20 inches.

Learn more about the volume of figures at

https://brainly.com/question/11850851

#SPJ2


In a class of 147 students, 95 are taking math (M), 73 are taking science (S), and 52 are taking both math and science. What is the theoretical probability of randomly choosing a student who is taking math? Round your answer to the nearest tenth.

 In a class of 147 students, 95 are taking math (M), 73 are taking science (S), and 52 are taking both

Answers

Answer:

The correct answer is 64.6%

Step-by-step explanation:

95 student total are taking a math class out of 147 kids. 95/147 = 0.646, carry the decible and you get your percentage which is 64.6%

Which answer choice shows two hundred two and two thousandths?
OA) 200.02
B) 200.202
OC) 202.02
OD) 202.002

Answers

Answer: D

Step-by-step explanation:

Two hundred two =202

The thousands place is the third place=.002

Answer:

D

Step-by-step explanation:

pls help

Find the missing side length.

Assume that all intersecting sides meet at right angles.

Be sure to include the correct unit in your answer.

pls help Find the missing side length.Assume that all intersecting sides meet at right angles.Be sure

Answers

Answer:

the answer is 12 yd if you are talking about the question mark.

Step-by-step explanation:

Well, if you split this  figure into two rectangles, then the 16 yd length becomes 12 yd because the one congruent to it is 4 yd. Both sides are congruent so you'd get 12 yd.

Answer:

BRAINLIEST

Step-by-step explanation:

A marrathon is 26.6 miles long. There is a water station every 1 31/100 miles along the race route which expression represents the total number of water stations

Answers

Answer:

We are told that a  marathon is 26.2 miles long. There is a water station every 1 and 3/100 miles along the race route. We are supposed to write an expression that represents the total number of water stations.

Let x be the total number of water stations.

First of all, we will convert our mixed fraction into an improper fraction.

1 3/100 = 103/100

The total number of water station in the marathon of 26.2 miles will be,

103/100 * x = 26.2

x = 26.2 * 100/103

Therefore, x = 26.2 * 100/103 will represent the total number of water stations.

Have a nice day and stay safe.

: )

Find the perimeter of the triangle.

Find the perimeter of the triangle.

Answers

Answer:

P

=

a

+

b

+

c

Step-by-step explanation:

What is the slope of the line RS that contains the points R(-2, -3), S(3, -5)
HELP ASAP

Answers

Answer:

\(slope = \dfrac{-2}{5}\)

Step-by-step explanation:

The slope of a line passing through points , \( (x_1,y_1) \) and \( (x_2,y_2) \) is ,

\(\implies slope = \dfrac{y_2-y_1}{x_2-x_1}\)

Using this we have ,

\(\implies slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\implies slope = \dfrac{-5+3}{3+2}\\\\\implies \boxed{\boxed{slope = \dfrac{-2}{5}}}\)

which is the better buy chord charts A 13:10 B 18:15

Answers

Step-by-step explanation:

is there more to the question?

how much 550 ml to cups

Answers

550 ml was found to be equivalent to approximately 2.324 cups using conversion factor method.

To convert 550 ml (milliliters) to cups, you can use the following conversion factor:

1 cup = 236.588 ml

Dividing 550 ml by 236.588 ml/cup, we get:

550 ml / 236.588 ml/cup = 2.324 cups (rounded to three decimal places)

Therefore, 550 ml is equivalent to approximately 2.324 cups

A conversion factor is a mathematical ratio used to convert a quantity from one unit of measurement to another. The conversion factor is usually derived from the relationship between the two units of measurement.

For example, if you want to convert a length measurement from feet to meters, you can use the conversion factor 1 ft = 0.3048 m.

Learn more about conversion factor here brainly.com/question/30166433

#SPJ4

12x5 what is the answer

Answers

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's 60 5+5+5+5+5+5+5+5+5+5+5+5

Can you please answer these questions?
1. Enzo is distributing the snacks at snack-time at a day-care. There are 11 kids attending today. Enzo has 63 carrot sticks, which the kids love. (They call them orange hard candy!)
Wanting to make sure every kid gets at least 5 carrot sticks, how many ways could Enzo hand them out?
2. How many 3-digit numbers must you have to be sure there are 2 summing to exactly 1002?
3. Find the co-efficient of x^6 in (x−2)^9?

Answers

The coefficient of x^6 is given by the term C(9, 6) * x^3 * (-2)^6.

Therefore, the coefficient of x^6 in (x - 2)^9 is 84.

To distribute the carrot sticks in a way that ensures every kid gets at least 5 carrot sticks, we can use the stars and bars combinatorial technique. Let's represent the carrot sticks as stars (*) and use bars (|) to separate the groups for each kid.

We have 63 carrot sticks to distribute among 11 kids, ensuring each kid gets at least 5. We can imagine that each kid is assigned 5 carrot sticks initially, which leaves us with 63 - (11 * 5) = 8 carrot sticks remaining.

Now, we need to distribute these remaining 8 carrot sticks among the 11 kids. Using stars and bars, we have 8 stars and 10 bars (representing the divisions between the kids). We can arrange these stars and bars in (8+10) choose 10 = 18 choose 10 ways.

Therefore, there are 18 choose 10 = 43758 ways for Enzo to hand out the carrot sticks while ensuring each kid gets at least 5.

To find the number of 3-digit numbers needed to ensure that there are 2 numbers summing to exactly 1002, we can approach this problem using the Pigeonhole Principle.

The largest 3-digit number is 999, and the smallest 3-digit number is 100. To achieve a sum of 1002, we need the smallest number to be 999 (since it's the largest) and the other number to be 3.

Now, we can start with the smallest number (100) and add 3 to it repeatedly until we reach 999. Each time we add 3, the sum increases by 3. The total number of times we need to add 3 can be calculated as:

(Number of times to add 3) * (3) = 999 - 100

Simplifying this equation:

(Number of times to add 3) = (999 - 100) / 3

= 299

Therefore, we need to have at least 299 three-digit numbers to ensure there are 2 numbers summing to exactly 1002.

To find the coefficient of x^6 in the expansion of (x - 2)^9, we can use the Binomial Theorem. According to the theorem, the coefficient of x^k in the expansion of (a + b)^n is given by the binomial coefficient C(n, k), where

C(n, k) = n! / (k! * (n - k)!).

In this case, we have (x - 2)^9. Expanding this using the Binomial Theorem, we get:

(x - 2)^9 = C(9, 0) * x^9 * (-2)^0 + C(9, 1) * x^8 * (-2)^1 + C(9, 2) * x^7 * (-2)^2 + ... + C(9, 6) * x^3 * (-2)^6 + ...

The coefficient of x^6 is given by the term C(9, 6) * x^3 * (-2)^6. Calculating this term:

C(9, 6) = 9! / (6! * (9 - 6)!)

= 84

Therefore, the coefficient of x^6 in (x - 2)^9 is 84.

To know more about combinatorial visit

https://brainly.com/question/31502444

#SPJ11

find x: 3x-14+6-4-2x=12

Answers

Answer:

x=24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

G.SRT.B.5 Worksheet #2

G.SRT.B.5 Worksheet #2

Answers

b): x=8, y=8root2, z=16
c): x=4, y=12, z=8root3
The ones later one you can do by your self.
30 60 90 triangle side ratio: 1:root3:2
90 45 45 triangle side ratio: 1:1:root2

What do the coordinates of an undefined slope have in common?

Answers

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Elion has three more quarters than dimes in his pocket, for a total of 2.50 write an equation that could be used to determine the number of dimes, d, in his pocket

pls show work

Answers

The equation that could be used to determine the number of dimes, d, in his pocket is: 0.35d + 0.75 =2.50.

How to find the equation?

Let the number of dimes be d

Let number of quarters be q

Hence,

d + q = 2.50

q = d+3

1 dimes = $0.10

1 quarters = $0.25

0.10d +0.25q = 2.50

Substitute value of  q into 0.10d +0.25q = 2.50

0.10d +0.25 (d+3) = 2.50

0.10d +0.25d +0.75 = 2.50

0.35d + 0.75 =2.50

Hence, the equation is : 0.35d + 0.75 =2.50.

Learn more about equation here:https://brainly.com/question/13763238

#SPJ1

what would be examined by determining how many students met the cutoff score and how many did not meet the cutoff score for a test on day 1 and again on day 2?

Answers

The appropriate test statistic for comparing the number of students who met or did not meet a cutoff score on two different days would be the McNamar's test.

McNamar's test is a statistical test used to compare paired proportions or counts of dichotomous data.

In this case, the paired proportions would be the number of students who met or did not meet the cutoff score on day 1 and day 2.

The test statistic for McNamar's test is the chi-square statistic, calculated using the following formula,

X² = ((b-c)²) / (b + c)

where b is the number of students who met the cutoff score on day 1 but not day 2,

And c is the number of students who did not meet the cutoff score on day 1 but did meet the cutoff score on day 2.

The chi-square statistic follows a chi-square distribution with 1 degree of freedom.

A p-value can be calculated based on this distribution to determine if there is a statistically significant difference between the paired proportions.

learn more about test statistic here

brainly.com/question/31139273

#SPJ4

The above question is incomplete, the complete question is:

What test statistic would be examined by determining how many students met the cutoff score and how many did not meet the cutoff score for a test on day 1 and again on day 2?

A rectangular prism has a length of 16in, a height of 15in, and a width of 6in. What is its volume, in cubic in?

Answers

Answer:

9in

Step-by-step explanation:

a p e x

Answer:

Step-by-step explanation:

my electric bills for june, july, and august last summer were $75, $75, and $150, respectively. what was the mean amount for the three bills?

Answers

The mean amount for the three bills is  $100  .

In the question ,

it is given that

the electricity bill for June is = $75

the electricity bill for July is = $75

the electricity bill for August is = $150

Sum of the electricity for three months = 75 + 75 + 150 = 300

number of months =  3

The mean of the three months can be calculated using the formula ,

mean = (sum of bill for three months )/( number of months)

Substituting , the  values

we get

mean = 300/3

= 100

Therefore , the mean amount is $100 .

Learn more about Mean here

https://brainly.com/question/21800892

#SPJ4

Other Questions
You are given a sample of a Group II metal chloride, but the identity of the metal is unknown. Knowing that all Group II metal chloride compounds have the general formula, MCI2 and that the percentage of chlorine in the compound is 34.1%, what is the identity of the unknown substance? 5 of 105 of 10 Items 34:04 Skip to resources Question The Community Center has exercise classes on Monday and Friday. The Monday class is 1 3 hours and the Friday class is 1 1 hours. 4 2Patrick attended both exercise classes last week and this week. How many hours did Patrick spend in exercise classes last week and this week? Responses A 6 1 hours 26 1 hours 2 B 3 1 hours 43 1 hours 4 C 6 1 hours 46 1 hours 4 D 8 1 hours 2 In mammals, colorblindness is controlled by a recessive X-linked allele (b) while normal vision is produced from a dominant X-linked allele (B). On a separate autosome, polydactyly (multiple fingers) is controlled by a dominant allele (F) while normal finger amount is controlled by a recessive allele (f). What are the genotype and phenotype proportions of offspring predicted from a cross between a male with normal vision and normal amount of fingers and a female that is heterozygous for normal vision and heterozygous for number of fingers? The speed of an airplane is 1,240 km per hour. Find the distance covered by the airplane in3 hours and 20 minutes. Also, express the distance in scientific notation. the compound c7h4n3o6 burns explosively with oxygen to produce co2, h2o, and n2. write a balanced chemical equation for this reaction: True/False? One of the ways to represent superclass and subclass relationships when mapping EER Model Diagrams into Relational Schema is by creating a single relation for the superclass that also includes all of the subclass attributes, along with a single discriminating attribute that indicates which subclass each tuple is contained. This method works whether the superclass whether the relationship is disjoint or overlapping Cree usted que el artista debe tener un compromiso etico income-related items are excluded from gross income unless specifically included by a provision in the tax code.truefalse 1. Explain the concept of "natural selection" using your moths as an example (please use the data you collected to support your answer).Answer: Natural selection can be seen in peppered moths, according to Tutt. In the gloomy bush, the brilliant moth's camouflage had worn off. Because dark moths live longer, they have more time to breed in a dark forest. All living creatures are impacted by natural selection. The peppered moth's evolution is an evolutionary example of moth population-directed color change as a result of industrial pollution. Question 9A policy loan is made possible by which of these life insurance policy features?O Policy loan provisionGrace period provisionOwner's rights provisionConsideration provision7 of 15 Questions Remaining The book mentions that many forms of price discrimination are unpopular with consumers. What is one economic reason why? -Price discrimination takes away consumer surplus- Having so many options is confusing to consumers -Consumers do not like discounts for certain groups because they are unfair -Consumers do not like their cookies being read by Amazon if you get a new credit card with a different expiration and security code do you need to update it everywhere? 1. Describe the various rock tunnel support systems.2. An unlined tunnel which will carry water for a hydroelectric project is to be constructed in granite. The maximum water pressure acting on the granite is estimated to be 10MPa. The modulus of elasticity of the granite is measured to be 3.4 x 104 MPa: i) How much will 3 m of rock around the tunnel be strained by the force of the water? ii) If the weight of the rock is 25.9 kN/m and the tunnel is overlain by 20 m of rock, what is the rock stress in kN/m acting on the top of the tunnel which of the following should be considered a part of the job offer evaluation? job content. working conditions. compensation. all of these should be considered a part of the job offer evaluation. what number would you be rather guessing correctly? the number of rolls of a fair six-sided die will If the point (-3, 8) lies on the graph of a power function with an even exponent, which of the followingpoints must also lie its graph?O (8,-3)O (3.8)O (3,-8)O (-3,-8) Fred Jones bought a home with a 13% adjustable rate mortgage for 20 years. He paid $11.72 monthly per thousand on his original loan. At the end of 4 years he owes the bank $55,000. Now that interest rates have gone down to 11.5%, the bank will renew the mortgage at this rate or Fred can pay $55,000. Fred decides to renew and will pay $10.67 monthly per thousand on this loan. What is the amount of the old and new monthly payment? What is the percent of decrease in his new monthly payment (to the nearest tenth)? You can ignore the small amount of principal that has been paid.old payment = $ _____new payment = $ __________ % decrease Which of the following best describes a mandate?A. Set of beliefs about how the world ought to beB. An official order to take authorized actionC. Person in charge of the United NationsO D. Tax on imported goodsSUE Jullas monthly gasoline bill dropped from 33.57 last month, to 30.83 this month. Find thepercent decrease, Round to the nearest whole percent. at which level of anxiety is the person able to work effectively towards a goal and examine alternatives?