Help please please please please please

Help Please Please Please Please Please

Answers

Answer 1
Answer is 46. Brainliest?
Answer 2

Answer:

B. 46 Degrees

Step-by-step explanation:

Remember that the angles of a triangle add up to 180 degrees.

L and K are congruent as shown with the line, since L is 67 degrees K is also 67 since they are congruent so,

67 + 67 = 134

Since the angles add up to 180 degrees subtract the angles of L and K by 180 to find the value of J:

180 - 134 = 46

So, the measure of J is 46 degrees.


Related Questions

−2∣x−14∣+5=−6∣x−14∣−1


HELP

Answers

Answer:

No solutions

---------------------------------

Given equation:

−2∣x − 14∣ + 5 = −6∣x − 14∣ − 1

Add - 6|x - 14| to both sides:

4∣x − 14∣ + 5= − 1

Add - 5 to both sides

4∣x − 14∣ = − 6

No solution since the left side can't be negative as an absolute value.

The positive GCF of -24y and -20 is 4. Complete each equation with an expression or integer factor.

Answers

The missing factor in the second equation is 1, and the completed equation is: -24y + (-5) = -4(6y + 5/4)

How to complete each equation with an expression or integer factor.

We know that the GCF of -24y and -20 is 4. To find the missing factor in each equation, we can divide both terms by the GCF of 4.

For the first equation, we have:

-24y = 4 * (-6y)

Dividing both sides by 4, we get:

-6y = -24/4

Simplifying, we get:

-6y = -6

Therefore, the missing factor in the first equation is -1, and the completed equation is:

-24y + 20 = -4(6y - 5)

For the second equation, we have:

-20 = 4 * (-5)

Dividing both sides by 4, we get:

-5 = -20/4

Simplifying, we get:

-5 = -5/1

Therefore, the missing factor in the second equation is 1, and the completed equation is:

-24y + (-5) = -4(6y + 5/4)

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a menu has 30% vegatarian options. if there is a total of 70 options on the menu, how many options are vegatarian

Answers

Answer:

49 options are vegan hope this helps have a nice day please give me brainliest:)))

Step-by-step explanation:

The weights of 1500 bodybuilders are normally distributed with a mean of 190.6 pounds and a standard deviation of 5.8 pounds.

A. About how many bodybuilders are between 180 and 190 pounds?

B. What is the probability that a bodybuilder selected at random has a weight greater than 195 pounds?

Answers

Answer:

A.  637

B.  0.2240 (4 dp) = 22.4% (nearest tenth)

Step-by-step explanation:

Normal Distribution

\(\sf X \sim N(\mu, \sigma^2)\)

Given:

\(\sf \mu = 190.6\)\(\sf \sigma=5.8\)

\(\implies \sf X \sim N(190.6, 5.8^2)\)

Part A

\(\begin{aligned}\sf P(180 < X < 190) & = \sf P(X < 190)-P(X\leq 180)\\& = \sf 0.4588035995-0.03380583874\\& = \sf 0.4249977608\end{aligned}\)

Total number of bodybuilders = 1500

Therefore, the number of bodybuilders between 180 and 190 pounds is:

\(\begin{aligned}\sf P(180 < X < 190) \cdot1500 & = \sf 0.4249977608 \cdot 1500\\& = \sf 637.4966412\\& = \sf 637\end{aligned}\)

Part B

\(\begin{aligned}\sf P(X > 195) & = \sf 1-P(X\leq 195)\\& = \sf 1-0.7759602537\\ & = \sf 0.2240397463\\ & = \sf 0.2240\:(4\:dp)\end{aligned}\)

————-PLEASE HELP————



Oscar has a $2,500 balance on his credit card that accumulates 14.5% interest compounded annually. Which of the following could be used to find the balance on the card after 5 years?

Answers

Answer:

35$

Step-by-step explanation:

It will take 10 years and 11 months to payoff the balance. The total interest is $2,574.43

Point A is at (-7, 5) and point B is at (7,3).
What is the midpoint of line segment AB?

Answers

\(m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)\)

be alert m represents the MIDPOINT.

THE MIDPOINT IS (0,4)

Answer:

-1/7

Step-by-step explanation:

HELP ME PLEASE AND THANKS :) <3

HELP ME PLEASE AND THANKS :) &lt;3

Answers

Answer:

D. Cost

It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.

Step-by-step explanation:

Please mark brainliest I hope this helps.

Answer:

D the cost

Step-by-step explanation:

cause the costs always go on the y axis

scenario 6-3 in a certain population of students, the number of calculators a student owns is a random variable x described by the following probability distribution: x 0 1 2 p(x) 0.2 0.6 0.2 use scenario 6-3. which of the following is the mean of x? group of answer choices 1 the answer cannot be computed from the information given. 2 0.5 1.2 next

Answers

1.0 is the mean of the variable x

How to find the mean of x?

The mean or expected value is defined as the predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.

Given :

x|  0      1     2      

p| 0.2 0.6  0.2

The expected value of x, E(x) =Σ xp

where x = number of classes and p = probability

E(x) = (0×0.2) + (1×0.6) + (2×0.2)

E(x) = 0 + 0.6 + 0.4

E(x) =  1.0

Therefore, the mean of the variable x is 1.0

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0.6 If the probability that student A will fail a certain statistics examination is 0.5, the probability that student B will fail the examination is 0.2, and the probability that both student A and student B will fail the examination is OJ. what is the probability that at least one of these two students will fail the examination

Answers

The probability that at least one of the two students will fail the examination is 0.7.

To find the probability that at least one of the two students will fail the examination, we can use the principle of complementary probability.

Let's denote the event of student A failing the examination as A and the event of student B failing as B.

We are given that P(A) = 0.5, P(B) = 0.2, and the probability that both student A and student B will fail the examination is denoted as P(A ∩ B).

The complementary probability of at least one student failing is equal to 1 minus the probability that both students pass the examination.

In other words:

P(at least one student fails) = 1 - P(both students pass)

To find P(both students pass), we can use the concept of independent events.

If the events A and B are independent, then:

P(A ∩ B) = P(A) \(\times\) P(B)

However, since we are not given information about the independence of A and B, we cannot assume they are independent.

Therefore, we cannot directly calculate P(both students pass) using the given information.

However, we can make use of the principle of inclusion-exclusion to calculate the probability that at least one student fails.

The principle states that:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Using this principle, we can calculate P(at least one student fails) as:

P(at least one student fails) = P(A) + P(B) - P(A ∩ B)

Substituting the given values, we have:

P(at least one student fails) = 0.5 + 0.2 - P(A ∩ B)

Unfortunately, without knowing the value of P(A ∩ B), we cannot provide a specific numerical answer.

However, we can conclude that the probability of at least one of the two students failing the examination is equal to 0.7 minus the unknown value of P(A ∩ B).

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2. If f(x) = 2x2 – 7x -10, find the following: a) f(x-1) b) x, if f(x) = 5 Please helpppppp


Answers

Answer:

a) f(x-1) = 2x^2-11x-1

b) x = -1.5 or 5

Step-by-step explanation:

a) To get f(x-1)

We proceed to substitute x-1 for x as follows

f(x-1) = 2(x-1)^2 -7(x-1) -10

f(x-1) = 2(x^2 - 2x + 1) -7(x-1)-10

f(x-1) = 2x^2 -4x + 2 -7x + 7-10

f(x-1) = 2x^2-11x-1

b) What we have to do here is substitute 5 for f(x) and solve for x

5 = 2x^2 -7x-10

2x^2 -7x -10-5 = 0

2x^2 - 7x - 15 = 0

2x^2 -10x + 3x -15 = 0

2x(x-5) + 3(x-5) = 0

(2x + 3)(x-5) = 0

2x + 3 = 0 or x -5 = 0

2x = -3 or x = 5

x = -3/2 or x = 5

x = -1.5 or 5

Joey's piano lesson started at 4:50 p.m. his lesson ended at 5:26 p.m. how long was joey's piano lesson?

Answers

Answer:

36 minutes

Step-by-step explanation:

5:26

4:50

4:50 plus what is 5:00? 10 min.

And then you add 26 minutes from 5:26.

which would be 36.

EASY POINTS!! EASY POINTS!!

Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on the bottom?

A. 36 cm
B. 15 cm
C. 21 cm
D. 12 cm

EASY POINTS!! EASY POINTS!!Above are two different models of the same rectangle. If the length of the

Answers

Answer:

A. 36cm

Step-by-step explanation:

When measuring it with a ruler, you will get six of the top rectangle

6 x 6 = 36

A.36 is the answer because of the math

What is the value of the expression 16 + 56/n when n = 8?

Answers

Answer:

23

Step-by-step explanation:

\(16 + \frac{56}{n} \)

\(where \: n = 8\)

\(16 + \frac{56}{8} \)

\(23\)

23Remember pemdasparenthesesexponentsmultiplicationdivisionadditionsubtractionDivide first

\(56 / 8 = 7\)

Add second

\(7 + 16 = 23\)

With that information, your answer is twenty-three.

Question 3
If 5x + 2 = 17, then 12x =
?

Answers

Answer:

36

Step-by-step explanation:

in 5x+2=17, you solve and get x=3. Then you do 12(3) to get 36.

Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, and (iii) convergent. Find the limit of any convergent sequence. 1 (a) {5+(-1)} " (b) {-e"} (c) {-e-"}

Answers

The sequence given in (a) part is a constant sequence and its limit is 4, (b) is a constant sequence and its limit is -e. (c) part is a constant sequence and its limit is -e-1.

To determine if a sequence is bounded, we need to check if its terms stay within certain limits as n increases.

To determine if a sequence is monotone, we need to check if its terms are always increasing or always decreasing.

To determine if a sequence is convergent, we need to check if its terms get closer and closer to a certain value as n increases.

(a) {5+(-1)} is a constant sequence that is bounded, monotone, and convergent. Its limit is 4.

(b) {-e"} is a constant sequence that is bounded, monotone, and convergent. Its limit is -e.

(c) {-e-"} is a constant sequence that is bounded, monotone, and convergent. Its limit is -e-1.

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i need step by step please 3(x-2)^2+1=13

Answers

Answer:

\( x_{1} = 0. \: \: \: x_{2} = 4\)

Step-by-step explanation:

\(3(x - 2)^{2} + 1 = 3\)

\(3( {x}^{2} - 4x + 4) + 1 = 13\)

\( {3x}^{2} - 12x + 12 + 1 = 13\)

\( {3x}^{2} - 12x + 13 = 13\)

\( {3x}^{2} - 12x = 0\)

\(x \times (x - 4) = 0\)

\(x = 0\)

\(x - 4 = 0\)

\( \boxed{\green{x_{1} = 0. \: \: \: x_{2} = 4}}\)

The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.

Answers

Answer:

25.252

Step-by-step explanation:

Farmer Ed has 3,000 meters of fencing. and wants to enclose a reclangular plot that borders on a river. If Famer Ed does nat fence the side along the river, What is the largest area that can be enclos

Answers

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

What is the largest area that can be enclosed?

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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During a science experiment,the temperature of a solution in beaker 1 was 5 degrees below zero. The temperature of a solution in Beaker 2 was the opposite of the temperature in beaker 1. What was the temperature in beaker 2?


A. - 5 degrees
B- 0 degrees
C- 5 degrees
D- 10 degrees

Answers

Answer:
5 degrees

Step-by-step explanation:

We are given that during a science experiment
The temperature of a solution in a beaker 15 degrees below zero
The temperature of solution in a beaker 2 was opposite of the temperature in beaker 1
We have to determine the temperature of beaker 2.
It mean temperature of beaker 1 solution=-5 degrees
According to question
Temperature of beaker 2 solution =5 degrees
Hence, the temperature of solution in a beaker 2=5 degrees

A shape that is can be suggested by dots or dashes that do not connect is known as ___________ shape.Quizlet

Answers

A dotted shape is a type of shape that can be suggested by dots or dashes that don't connect. A shape that can be suggested by dots or dashes that do not connect is known as a Dotted shape.

The term "dotted shape" refers to the shapes that are created by drawing dots or dashes that don't connect. The idea behind this technique is to suggest the shape of an object without drawing its entire outline.The dotted shape technique is commonly used in drawing and graphic design to add a decorative touch to a design. It is also used in children's books and educational materials to teach children about shapes and how to draw them.

There are different types of dotted shapes, including circles, squares, triangles, and rectangles, to name a few. The dotted shape technique can be used to create a variety of designs, from simple to complex, depending on the desired effect.

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The sum of five consecutive positive integers is 2020. Find the largets of these numbers.

Answers

Answer:

406

Step-by-step explanation:

let the 5 consecutive positive integers be

n , n + 1 , n + 2 , n + 3 , n + 4 , then

n + n + 1 + n + 2 + n + 3 + n + 4 = 2020

5n + 10 = 2020 ( subtract 10 from both sides )

5n = 2010 ( divide both sides by 5 )

n = 402

then

largest integer = n + 4 = 402 + 4 = 406

Billy makes mortar by mixing 360 kg of cement with 90 kg of sand.
Sam makes mortar by mixing 340 kg of cement with 85 kg of sand.
Whose mortar has the higher proportion of cement?

Billy makes mortar by mixing 360 kg of cement with 90 kg of sand.Sam makes mortar by mixing 340 kg of

Answers

Both Billy and Sam have the same proportion of cement in their mortar, which is 80% of the total mass. Billy's mixture has more cement than Sam's.

Billy and Sam make mortar by mixing cement and sand. Billy uses 360 kg of cement and 90 kg of sand, while Sam uses 340 kg of cement and 85 kg of sand. We need to determine which of them has a higher proportion of cement.

Let's calculate the proportion of cement in Billy's mortar:

Proportion of cement in Billy's mortar = (mass of cement / total mass of mixture) x 100%

Proportion of cement in Billy's mortar = (360 / (360+90)) x 100%

Proportion of cement in Billy's mortar = 80%

Now let's calculate the proportion of cement in Sam's mortar:

Proportion of cement in Sam's mortar = (mass of cement / total mass of mixture) x 100%

Proportion of cement in Sam's mortar = (340 / (340+85)) x 100%

Proportion of cement in Sam's mortar = 80%

Therefore, both Billy and Sam have the same proportion of cement in their mortar.

In other words, the amount of cement in their mixture is 80% of the total mass of the mixture. Billy's mixture has more cement than Sam's mixture.

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which one of the following sampling methods is more likely to be appropriate for calculating confidence intervals?

Answers

The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.

This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.

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The principal P is borrowed at a simple interest rate r for a period of time t. Find the​ loan's future value​ A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years

Answers

Answer:

$2720

Step-by-step explanation:

Given data

Principal=$2000

r= %6

T= 6 years

The expression for the final amount is

A= P(1+rt)

A=2000(1+0.06*6)

A=2000(1+0.36)

A=2000*1.36

A=2720

Hence the amount is $2720

The graph of h is a translation 6 units down and 2 units left of the graph of f(x)=x2−7x. For each value of x, g(x) is 115% of h(x). Write a rule for g

Answers

I’m just doing this for some points to ask questions but hey

Answer:

HELPPPPPP

Step-by-step explanation:

HELPPPPPPP

rachel and robert run on a circular track. rachel runs counterclockwise and completes a lap every 9090 seconds, and robert runs clockwise and completes a lap every 8080 seconds. both start from the same line at the same time. at some random time between 1010 minutes and 1111 minutes after they begin to run, a photographer standing inside the track takes a picture that shows one-fourth of the track, centered on the starting line. what is the probability that both rachel and robert are in the picture?

Answers

The probability that both Rachel and Robert are in the picture is 3/16.

The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.

Given that

Rachel and Robert both begin at the same point

Rachel completes a lap every 90 seconds.

Robert completes a lap every 80 seconds.

The photographer captures 1/4th of the track, centered on the starting line.

As a result, the photo captures 1/8th of the track on either side of the starting line.

The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.

Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.

Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.

Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).

Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.

i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.

Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}

= {90/8}/60

= 3/16

Therefore the probability that both Rachel and Robert are in the picture is 3/16

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Samir is going to invest $22,000 and leave it in an account for 9 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Samir to end up with $38,000?

Answers

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

What is the interest rate?

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .

r = n[(A/P)1/nt - 1]

r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]

r = 0.0909090

Then convert r to R as a percentage

R = r × 100

R = 0.0909090 × 100

R = 9.0909 %/year

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

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Answer: 6.1

Step-by-step explanation:

Find the area of each figure

Find the area of each figure

Answers

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

What is the area of a rectangle?

The area of a rectangle is,

\(A=length\times width.\)

What is the area of triangle?

The area of triangle is

\(A^*= \frac{1}{2} \times base\times height\)

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

\(R =l\times w \\R=10\times 6 \\R= 60\)

The triangle to the right

\(T_1 = (14-10)\times 6/2 = 12\)

The triangle on the top

\(T_2 = 10\times (10-6)/2 = 20\)

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

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The formula to convert Celsius to Fahrenheit is F=9/5 C +32. Convert 87°F to Celsius.
Round to the nearest degree.
A. 16°C
B. 55°C
C. 99°C
D. 31°C

Answers

Answer:

D. 31°C

Step-by-step explanation:

I hope it helps you

The formula to convert Celsius to Fahrenheit is F=9/5 C +32. Convert 87F to Celsius. Round to the nearest

What is -3 over 9 in standard form

Answers

Answer:

-1/3

Step-by-step explanation:

-3/9

= -1/3

Other Questions
exposures in which type of cohort do not change over time and are followed from a defined starting point to a defined ending point but may suffer from losses to follow-up? Which admendment in tbe us constitution includes rhe right to appeal a guilty verdict and attempt to have it overturned in a higher court? HELP QUICK PLS FAST!!!!!!!!! his question deals with Net-Zero Energy Buildings (NZEBs). Four of the following statements are true, and one is false. Which one is false?A. NZEBs are designed to sell excess electricity they generate back to the local utility company when conditions are favorable (sunny and/or windy).B. NZEBs use zero energy.C. NZEBs are get their name from the fact that they sell back to the local electric utility as much energy as they purchase from that utility, over the course of a year or more.D. NZEBs generate a significant amount of electricity on their property, using technologies such as solar and wind power.E. NZEBs are almost always connected to the local electric utility grid. How did Shays's Rebellion help lead to changing the Articles of Confederation?Group of answer choicesThe rebellion showed how America should have been a kingdom.The rebellion showed that farmers had too many guns.The rebellion showed how the national government was too weak to enforce laws or collect taxes.The rebellion showed how the state governments were stronger. Pleases solve this problem for me:((( Who is the biggest consumer of avocados? find the equation of the line in slope-intercept form that is perpendicular to the line y=1/3x+4 containing the point (2,-3) Given the normally distributed random variable X with mean 18 and variance 6.25, find (a) P(16 < X < 22). (b) the value of k1 such that P(X < k1) = 0.2946 (c) the value of k2 such that P(X > k2) = 0.8186 (d) the two cut-off values that contain the middle 90% of the normal curve area At a football game, 8% were supporting the visiting team. If 2576 people attendingsupported the home team, what was the total number of people attending the game? A substance made up of two or more types of atoms that are NOT chemically combined is called what A element B mixtureC CompoundD pure substance how does the purpose of the excerpt from queen elizabeth's address to the troops at tilbury compare to the excerpt from response to parliament's request that she marry? Employees of the Horizon Distributing Company will receive annual pension payments from the company when they retire. The employees will receive their annual payments for as long as they live. Assume on average each employee will receive 15 annual payments beyond retirement. Tinker will receive $24,000 annual pension payments starting from Dec 31 of 2027. Compute the present value of the pension obligation to Tinker as of December 31 , 024. Assume a 12% interest rate. 7. Which of these characterizes an American Indian cultural region?O A. People migrated together.O B. People have the same leader.O C. People share a similar language.O D. People come from the same family.Helppp helppp What does Ira Berlin mean when he says that freedom and slavery were created at the same moment? How does creating an out group strengthen the identity and status of the in group? (Who ever answers the question will get Brainliest) The short-run supply curve for a firm in a perfectly competitive market is Group of answer choices horizontal. likely to slope downward. determined by forces external to the firm. the portion of its marginal cost curve that lies above its average variable cost. Illinois local units of government receive their powers of eminent domain from what source? Numerical integration Calculate the definite integral 4 0 4x+2/x+2 dx, by: a) trapezoidal rule using 6 intervals of equal length. b) Simpson's rule using 6 intervals of equal length. Round the values, in both cases to four decimal points. 2. (5pt) Short questions about \( 8 b i t \) binaries A. What is the unsigned and signed \( 2 s \) complement of 01001110 ? B. Write down the output of a standard UNSIGNED 8-bit subtractor when doing Suppose one of your ancestors invested $500 in 1800 in an account paying 45 interest compounded annually. Find the balance of the account in the following years. a. 1850 b. 1900 c. 2000 d. 2021