Can someone help me please?

Can Someone Help Me Please?

Answers

Answer 1

Answer:

64°

Step-by-step explanation:

In circle with center P, AD is diameter.

[tex] \therefore m\angle DPE + m\angle APE = 180\degree \\

\therefore (33k-9)\degree + 90\degree = 180\degree \\

\therefore (33k-9)\degree = 180\degree -90\degree \\

\therefore (33k-9)\degree = 90\degree \\

\therefore 33k-9 = 90\\

\therefore 33k= 90+9\\

\therefore 33k= 99\\

\therefore k= \frac{99}{33}\\

\therefore k=3\\

m\angle CPD = (20k +4)\degree \\

\therefore m\angle CPD = (20\times 3 +4)\degree \\

\therefore m\angle CPD =(60+4)\degree \\

\therefore m\angle CPD =64\degree \\

m\overset {\frown}{CD} = m\angle CPD\\

\therefore m\overset {\frown}{CD} = 64\degree

[/tex]


Related Questions

Question 1 (1 point)
Evaluate if t=-2, x=3 and z=5
4z + 3x -t

Answers

Answer:

27

Step-by-step explanation:

4(5) + 3(3) - 2

20 + 9 - 2

27

Which expression is NOT equivalent to −3/8·(−4+1/2)?


Drag this expression to the box.

Answers

Answer:

The answer to your question is the first option

Step-by-step explanation:

Original expression

                                 -3/8 (-4 + 1/2)

First option    -3/8 (-4)  + (3/8)(1/2)       This option is not equivalent because

                                                              they forgot the negative sign of the

                                                              second term.

Second option (-3/8)(-4) + (-3/8)(1/2)    This option is equivalent to the

                                                               original. Distributive property

Third option    (-3/2)(-3 1/2)                 This option is equivalent to the original

Fourth option  (-3/8)(-3) + (-3/8)(-1/2)  This option is equivalent to the original

Jose Has scored 28,24,26,27,and 21 Points in his five basketball game so far. How many points does he need to score in his next game so that his average mean is 25 points per game

Answers

Answer:

The correct answer is 24.

Step-by-step explanation:

Jose wants to have an average mean of 25 points per game in his 6 basket ball matches.

Total points Jose plans to achieve in 6 games is 25 × 6 = 150.

Points score by him in the first five matches are 28, 24, 26, 27 and 21.

Total points in 5 matches is 126.

Thus the points he need to score in his next game to have an average mean of 25 is given by 150 - 126 = 24.


If you reflect point A (3, 4) over
the y-axis, what is the reflected
point?

Answers

The rule for reflecting a point over the y-axis is this:

(x, y) ---> (-x, y)

The x term becomes the opposite and the y term stays the same

(3, 4) ---> (-3, 4)

Hope this helped! Let me know if you have any further questions!

~Just a girl in love with Shawn Mendes

The mean intelligence quotient (IQ) score is 100, with a standard deviation of 15, and the scores are normally distributed. Given this information, the approximate percentage of the population with an IQ greater than 130 is closest to _________.

Answers

Answer:

2.28% is the approximate percentage of the population with an IQ greater than 130.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

P(IQ greater than 130)

[tex]P( x > 130) = P( z > \displaystyle\frac{130 - 100}{15}) = P(z > 2)[/tex]

[tex]= 1 - P(z \leq 2)[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(x > 130) = 1 - 0.9772 = 0.0228 = 2.28\%[/tex]

2.28% is the approximate percentage of the population with an IQ greater than 130.

The approximate percentage of the population with an IQ greater than 130 will be 2.28%.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The mean intelligence quotient (IQ) score is 100, with a standard deviation of 15, and the scores are normally distributed.

Then the approximate percentage of the population with an IQ greater than 130 will be

The value of z-score

z = (130 - 100) / 15

z = 30 / 15

z = 2

Then the probability will be

P(x > 130) = P(z > 2)

P(x > 130) = 1 - P(z < 2)

P(x > 130) = 1 - 0.97725

P(x > 130) = 0.02275

Then the percentage will be

P = 0.02275 x 100

P = 2.275%

P ≅ 2.28%

More about the normal distribution link is given below.

https://brainly.com/question/12421652

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Let B1W2 denote the outcome that the first ball drawn is B1 and the second ball drawn is W2. Because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. List all 25 possible outcomes of the experiment on a sheet of paper.Consider the event that the first ball that is drawn is blue.

Answers

Answer:

[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]

[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]

Step-by-step explanation:

[tex]\text{If an urn contains two blue balls} (denoted \:B_1 \:and \:B_2) \text{and three white balls}[/tex],[tex](denoted \:W_1, W_2, \:and\: W_3)[/tex]

If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and  its color is recorded.

The 25 Possible outcomes of this experiment are listed below:

[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]

[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]

The tree diagram of this event is also attached.

What is the value of the rational expression x-2x2-3/4x2-12 when x = 3?
-1/4
0
1/4
undefined

Answers

Answer:

(-135)/4

Step-by-step explanation:

Evaluate -(3 x^2)/4 - 2 x^2 + x - 12 where x = 3:

-(3 x^2)/4 - 2 x^2 + x - 12 = 3 - 2×3^2 - 3/4×3^2 - 12

3^2 = 9:

3 - 29 - 3/4×3^2 - 12

3^2 = 9:

3 - 2×9 - 3/4×9 - 12

-2×9 = -18:

3 + -18 - 3/4×9 - 12

-3×9 = -27:

3 - 18 + (-27)/4 - 12

Put 3 - 18 - 27/4 - 12 over the common denominator 4. 3 - 18 - 27/4 - 12 = (4×3)/4 + (4 (-18))/4 - 27/4 + (4 (-12))/4:

(4×3)/4 - (18×4)/4 - 27/4 - (12×4)/4

4×3 = 12:

12/4 - (18×4)/4 - 27/4 - (12×4)/4

4 (-18) = -72:

12/4 + (-72)/4 - 27/4 - (12×4)/4

4 (-12) = -48:

12/4 - 72/4 - 27/4 + (-48)/4

12/4 - 72/4 - 27/4 - 48/4 = (12 - 72 - 27 - 48)/4:

(12 - 72 - 27 - 48)/4

12 - 72 - 27 - 48 = 12 - (72 + 27 + 48):

(12 - (72 + 27 + 48))/4

| 1 |  

| 7 | 2

| 4 | 8

+ | 2 | 7

1 | 4 | 7:

(12 - 147)/4

12 - 147 = -(147 - 12):

(-(147 - 12))/4

| 1 | 4 | 7

- | | 1 | 2

| 1 | 3 | 5:

Answer: (-135)/4

The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases?

Answers

Answer:

5 and 11

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)*h

We know the height  is 8 and the area is 64.  

Let one of the bases is b and the other is b+6

64 = 1/2 (b+ b+6) *8

Combine like terms

64 = 4 (2b+6)

Divide each side by 4

64/4 = 4/4 *(2b+6)

16 = 2b+6

Subtract 6 from each side

16-6 = 2b+6-6

10 =2b

Divide each side by2

10/2 =2b/2

5=b

The second base is

5+6 =11

If I am going 70 miles per hour and I am talking to someone for 66 seconds and 513 milliseconds how long would it take for my car to travel with the extra time

Answers

Answer:

Car would have traveled [tex]1.283[/tex] miles more with the extra time

Step-by-step explanation:

Given

Speed of the car - [tex]70[/tex] miles per hour

Speed of car in miles per second

[tex]\frac{70}{60* 60}[/tex]

[tex]= 0.0194[/tex] miles per second

Time wasted in talking instead of travelling

[tex]66[/tex] seconds and [tex]513[/tex] milliseconds

Total time wasted in seconds

[tex]66 + \frac{513}{1000} \\66 + 0.513[/tex]

[tex]66.153[/tex] seconds

Distance that would have been traveled in this time instead of talking

[tex]0.0194[/tex] miles per second [tex]* 66.153[/tex] seconds

[tex]= 0.0194 * 66.153[/tex] miles

[tex]= 1.283[/tex] miles

Grace had 4 3/8 yards of elastic. She used 1 2/3 yards of the elastic to make bracelets for her friends. How many yards of elastic does she have now?

A. 6 1/24
B. 3 7/24
C. 2 17/24
D. 3 17/24​

Answers

Answer: D. 3 17/24​

Step-by-step explanation:

4 3/8 - 1 2/3

Each of forty-one pet owners was asked, "Does your pet eat more dry food or wet food?" Here are the results. Among the cat owners,6 chose "Dry food" and 8 chose "Wet food". Among the dog owners, 14 chose "Dry food" and 13 chose "Wet food".

Answers

No, pet does not eat more dry food than wet food.

Here's the detailed explanation of the table:

Dog Owners: Among the owners of dogs, 6 prefer to feed their pets wet food, while 11 prefer to feed them dry food.Cat Owners: Among the owners of cats, 12 prefer to feed their pets wet food, which is typically more common for cats due to their need for higher moisture content in their diet, and 15 prefer to feed them dry food.

The numbers in the table are called "frequencies," and they show how many responses fell into each category. The table allows us to quickly see and compare the food preferences of dog and cat owners. For instance, we can observe that:

More cat owners prefer wet food for their pets compared to dog owners (12 versus 6).More dog owners prefer dry food compared to wet food (11 versus 6).Similarly, more cat owners prefer dry food compared to wet food, but the preference is less pronounced (15 versus 12).

This table does not provide the total number of respondents in each category, but since we know that there are 44 pet owners in total, we could infer additional information if needed.

For example, we can calculate the total number of dog owners (6 + 11 = 17) and the total number of cat owners (12 + 15 = 27) from the table.

The completed table is given below.

The complete question is given below:

Given that the measure of ∠x is 123°, and the measure of ∠y is 51°, find the measure of ∠z. °

Answers

Answer:

The measure of angle z is 59°.

Step-by-step explanation:

Final answer:

To find the measure of ∠z when ∠x = 123° and ∠y = 51°, add the angles and subtract the sum from 180°.

Explanation:

Given:

∠x = 123°

∠y = 51°

To find ∠z:

Add ∠x and ∠y: 123° + 51° = 174°

Since the sum of angles in a triangle is 180°, subtract the sum of ∠x and ∠y from 180° to find ∠z: 180° - 174° = 6°

Hence, ∠z = 6°.

I need help with #11 and #12 how do I do this?

Answers

Answer:

  11. x = 6; y = 6.5

  12. x = 2; y = 4

Step-by-step explanation:

In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.

__

11. 2x +1 = x +7

  x = 6 . . . . . . . subtract (x+1) from both sides

and

  3y -8 = y +5

  2y = 13 . . . . add (8-y) to both sides

  y = 6.5 . . . . divide by the coefficient of y

__

12. x +3 = 3/2x +2

  1 = 1/2x . . . . . subtract (x+2)

  2 = x . . . . . . . multiply by 2

and

  2y -1 = 3y -5

  4 = y . . . . . . add (5 -2y)

Answer:

11. x=6;y=6.5  12. x=2;y=4

Step-by-step explanation:

hope that helped

Ken can walk
40
4040 dogs in
8
88 hours.
How many dogs can Ken walk in
12
1212 hours?

Answers

Answer:

Hey.  I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.

Step-by-step explanation:

So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours.  40/8 = 5.  He walks 5 dogs an hour.  Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour.  5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.

Jose is working two summer jobs, making $10 per hour washing cars and $9 per hour walking dogs. Last week Jose worked a total of 13 hours and earned a total of $122. Write a system of equations that could be used to determine the number of hours Jose worked washing cars last week and the number of hours he worked walking dogs last week. Define the variables that you use to write the system.

Answers

Answer:

x+y =13

10x + 9y =122

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The sum of the hours he worked washing cars (x) and the hours he worked walking dogs(y) will be equal to the total hours worked (13)

x+y =13

For the second equation the product of the number of hours he worked washing cars(x) and the price per hour ($10) plus the product of the number of hours he worked walking dogs (y) and the price per hour ($9) will be equal to the total amount earned (122)-

10x + 9y =122

So, the system of equations is:

x+y =13 10x + 9y =122

Where:

x: number of hours Jose worked washing cars

y: number of hours Jose worked walking dogs  

Based on the information given, the equation will be:

x + y = 1310x + 9y = 122

Based on the information given, the sum of the hours he worked washing cars and the hours he worked walking dogs will be equal to the total hours worked. Thia can be represented by:

x + y = 13

On the other hand, the product of the number of hours he worked washing cars and the price per hour plus the product of the number of hours he worked walking dogs and the price per hour can be represented with the equation:

10x + 9y = 122

In conclusion, the equation will be x + y = 13 and 10x + 9y = 122.

Learn more about equations on:

https://brainly.com/question/13763238

5/7 = p + 4/7
p =
Solve the equation.

Answers

Step-by-step explanation:

p=5/7-4/7

7p=1

p=1/7

hope it helps

Answer:

Step-by-step explanation:

Solve for x in the equation x^2 - 4x-9= 29

Answers

x = 2 + √42, 2 - √42

I'm guessing 4+-√42 if u can understand it's the last one....

Imagine we found a strong positive correlation between worry and sleep disturbances and we hypothesized that drinking caffeine before going to bed would exacerbate this relationship. What type of analysis could we conduct to test this hypothesis?a. Moderationb. Mediationc. ANCOVAd. Two-way ANOVA

Answers

Answer:

The correct option is;

a. Moderation

Step-by-step explanation:

Here we have that the analysis is to check the hypothesis that drinking caffeine would exacerbate the effect of sleep disturbance caused worry is a form of moderator analysis.

A moderator analysis is one in which we attempt to determine if the  relationship between two investigated variables is dependent on the magnitude or presence of a third variable. We refer to the third variable as the moderator or moderator variable.

Evaluate each expression

Answers

Answer:

a. 32

b. 27

c. 64

d. 36

e. 1/16

f. 1/9

Answer:

a.32

b.27

c.64

d.36

e.1/16

f.1/9

Step-by-step explanation:

Hope it helps.!

You are building a sandbox for your little sister. You want to make sure that she has 200 cubic ft. Of space to play. Give a possible length, width, and height of the sandbox.

Answers

Answer:

10x10x2

Step-by-step explanation:

10 * 10 * 2 = 200

On Friday, 112 grocery shoppers bought a candy bar from the checkout line and 588 grocery shoppers did not. What percentage of shoppers did NOT buy a candy bar?

Answers

Answer: 84%

Step-by-step explanation:

112 grocery shoppers bought a candy bar and 588 grocery shoppers did not.

Number of grocery shoppers that bought candy bar = 112

Number of grocery shoppers that did not buy candy bar= 588

Total number of grocery shoppers= 112+588 = 700

Percentage of shoppers did not buy a candy bar= 588/700 × 100

= 0.84 × 100

= 84%

Answer:

0.84 = 84%

Step-by-step explanation:

First we need to find the total number of grocery shoppers.

If 112 bought a candy bar and 588 did not, the total number of grocery shoppers is:

588 + 112 = 700

Now, to calculate the percentage of grocery shoppers that didn't buy a candy bar, we make a division between the number of grocery shoppers that didn't buy a candy bar and the total number of grocery shoppers:

588 / 700 = 0.84 = 84%

Multiply and simplify the following complex numbers: (1 + 2i) x (1 - 4i)

Answers

Answer:

9-2i

Step-by-step explanation:

(1 + 2i) * (1 - 4i)

(1*1)-(1*4i)+(2i*1)-(2i)*(4i)

(1)-(4i)+(2i)-(8i^2)

i^2 = -1

1-4i+2i+8

1-2i+8

9-2i

Final answer:

The multiplication and simplification of the complex numbers (1 + 2i) x (1 - 4i) results in 9 - 2i.

Explanation:

To multiply and simplify the complex numbers (1 + 2i) and (1 - 4i), we must use the distributive property, just like in normal algebra. We get (1*1) + (1*-4i) + (2i*1) + (2i*-4i), which is 1 - 4i + 2i - 8i². But remember, in complex numbers, i² equals -1, so it simplifies further to 1 - 2i -8(-1), or 1 - 2i + 8, and finally, 9 - 2i which is our final, simplified result.

Learn more about Complex Numbers Multiplication here:

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Chef Selena is making her special dish that requires pasta, sauce, and onions. She has 5 1/8 pounds of pasta, 6 pounds of sauce, and 4 7/8 pounds of onions. How many servings of her dish can she make if each serving is 1/2 pound? Which two equations are needed to solve the problem?

Answers

Answer:

[tex]\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}[/tex]

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

[tex]5\frac{1}{8}[/tex] pounds of pasta, 6 pounds of sauce; and [tex]4\frac{7}{8}[/tex] pounds of onions.

Total Weight of Food Made, x

[tex]=5\frac{1}{8}+6+4\frac{7}{8}\\=5+6+4+\frac{1}{8}+\frac{7}{8}\\=16 \: Pounds[/tex]

Since each serving is [tex]\frac{1}{2} Pounds[/tex]

Number of Servings of her dish, y

[tex]16 \div \frac{1}{2}\\ =32 \: Servings[/tex]

The two equations needed to solve the problem are therefore:

[tex]\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}[/tex]

In a certain Algebra 2 class of 28 students, 8 of them play basketball and 14 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball

Answers

Answer:

[tex]P(B \cup b) =\frac{4}{7}[/tex]

Step-by-step explanation:

Total Number of students, the Universal Set [tex]n(\mathcal{E})[/tex]=28

Let the number of those who play basketball =B

Let the number of those who play baseball =n

Number who play neither sport, [tex]n(B\cup b)'[/tex]=12

From Set Theory,

Since we want to determine the probability that a student chosen randomly from the class plays basketball or baseball, we only simply exclude those who play neither sports.

Mathematically,From Set Theory,

[tex]\mathcal{E}=n(B \cup b)+n(B \cup b)'\\28=n(B \cup b)+12\\n(B \cup b)=28-12\\n(B \cup b)=16[/tex]

The Probability that a student chosen randomly from the class plays basketball or baseball

[tex]P(B \cup b)=\frac{n(B \cup b)}{n(\mathcal{E})}\\=\dfrac{16}{28}\\ =\dfrac{4}{7}[/tex]

Answer:

4/7

Step-by-step explanation:

4/7

If the volume of an object is 100cm3 and the density is 4g/cm3. What is the mass of the object in g?

Answers

Answer:

400g

Step-by-step explanation:

mass= density × volume

Substitute the given value of density and volume.

Mass of the object

= 4(100)

= 400g

A box contains 5 red marbles and 7 green marbles. Find the probability of drawing 2 red marbles.
1. a) with replacement
2. b) without replacement

Answers

Answer:

1) 25/144 or 0.1736

2) 5/33 or 0.1515

Step-by-step explanation:

Total marbles: 5 + 7 = 12

1) 5/12 × 5/12

25/144

0.173611111

2) 5/12 × 4/11

5/33

0.151515151515

Answer:

1. 25/144

2. 5/33

Step-by-step explanation:

1. There are a total of 12 marbles. The probability of drawing the first marble red is: 5/12. Since we replace the marble, when we draw the second marble, the probability will also be 5/12. So we multiply them together and get: 25/144.

2. Again the probability of drawing the first marble red is 5/12. However, this time we're not replacing. This means that there are 12 - 1 = 11 remaining marbles and 5 - 1 = 4 remaining red marbles. Then the probability of choosing a second red marble is: 4/11. Multiply these two together: (5/12) * (4/11) = 20/132 = 5/33

Hope this helps!

3. What is x?
E
4x+ 5
H

Answers

what is the question

Michael is packing his bags for his vacation. He has 6 unique toy animals, but only 5 fit in his bag. How many different groups of 5 toy animals can he take?

Answers

Answer:

6 different groups of toy animals

Step-by-step explanation:

In this question, we are to calculate the number of different groups of toy animals Michael can take.

Since we are selecting, this is clearly a COMBINATION question. Now from the question, we are trying to select 5 toy animals from a group of 6 different animals to fit in the bag

The number of ways we can do this is  6C5 ways

Mathematically, if we have to select a number of r items from a group of n items, the number of ways this can be done is;

nCr = n!/(n-r)!r!

Using the case in the question, we have; 6!/5!(6-5)! = 6!/5!1! = 720/120 = 6 groups

Answer:

6 different groups of toy animals

Step-by-step explanation:

The question above can be solved by applying the Combination technique

Combination technique uses the formula:

nCk = n! /k!(n-k)!

Where in the question above:

n = 6

k = 5

Therefore we have , 6C5

= 6! / 5! (6-5)!

= 6!/ 5!(1!)

6! = 6×5×4×3×2×1

5! = 5×4×3×2×1

Hence,

= (6×5×4×3×2×1) / (5×4×3×2×1)(1)

= 6

Hence, Michael can take 6 different groups of toy animals with him on his vacation.

Find the length of the missing side. (Use the Pythagorean theorem)

Answers

Answer:

20

Step-by-step explanation:

12square + 16 square=400

Square root it = 20

Answer:

Step-by-step explanation:

a^2+b^2=c^2

144+256=?

144+256=400

the square root of 400 is 20

so the missing side is 20

Order these to Least to greatest -3/4, -2, -1/4, 2

Answers

-2. -3/4, -1/4, 2

-2 = -2

-3/4 = -0.75

-1/4 = -0.25

2 = 2

Other Questions
Which phrase is a hit about what might happen later in the story? the difference of two numbers is 15. five times the smaller number is the same as 9 less than twice the larger number. find the numbers The leaf shown has a color pattern of green and whiteWhich part of the leaf most likely produces the most glucose?1. the green part, because it contains the chlorophyll2. the white part, because it contains the chlorophyll3. the green part, because it contains carbon dioxide4. the white part, because it contains carbon dioxide LOOK AT IMAGE TO ANSWER IT BETTERI WILL MARK BRAINIEST Select the correct text in the passage.Which excerpt from "A Jury of Her Peers" by Susan Glaspell shows how the women's inquisitive nature helps them understand what exactly occurred before the murder? Some T cells and B cells become ____ and give your body long-term protection against many diseases. The seventh term of an arithmetic sequence is 10.2 and the twelfth term is 17.7. What is the common difference of the arithmetic sequence?The common difference is ______ Use the explicit formula to find a1.a1 = _______What is the explicit formula for the arithmetic sequence?A: an = 1.2 + (n - 1)1.5B: an = 1.5 + (n 1)1.2C: an = 1.5 + (n 1)3.9D: an = 3.9 + (n 1)1.5ANSWERS: 1.5, 1.2, A: an = 1.2 + (n 1)1.5 Two objects collide and bounce apart. Assuming no outside forces act on the system, which best describes the total momentum after the collision?It is always greater than it was before the collision.It is often greater than it was before the collision. It is always the same as it was before the collision. It is often the same as it was before the collision. Progressives believed that ___________ could improve life for average Americans.a.hard workb.fewer lawsc.increased immigrationd.government reformsPlease select the best answer from the choices providedABCD Suppose that you are riding a bicycle. You exert an effort force of 697 N downward as you push on the pedals. The resulting load force that causes the bicycle to move forward is 93 N. What is the mechanical advantage of the bicycle? (Round to the tenths place) Leah has just inherited 12000 she wants to invest the money so that she can increase the value of her inheritance what are some of the ways she can do this The graph shows f(x) = (x - 5)2. What is the value of h?h= GUESTAn equation is given.6-x=yComplete the table to show the relationship between values of x and y.O2 A circle has a diameter that measures 8 inches What is the area of the circle to the nearest 10th use 3.14 for pi 3. A student constructs a coffee cup calorimeter and places 50.0 mL of water into it. After a brief period of stabilization, the temperature of the water in calorimeter is determined to be 19.1 C. To this is added 50.0 mL of water that was originally a temperature of 54.9 C. A careful plot of the recorded temperature established T0 as 31.3 C. What is the calorimeter constant (J/C)? shareholdings in Tazon Insurance by Country ( As of April in Year 1) Total number of shares: 45 million. Germany 15% France 10% Switzerland 8% Other 14% Treasury Stock 5% IS 30% UK 18% if each share had a market value of $30 in April year 1, what was the total value of the German shareholding? Who was the prime minister in 2005 of the UK Question 1 0 / 5 pts (06.07A LC) The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. (5 points) 8.54 units 9.54 units 11.00 units 24.00 units Question 2 5 / 5 pts (06.07A LC) Jacob calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it? (5 points) A B C D Question 3 5 / 5 pts (06.07A MC) What is the length of the third side of the window frame below? (5 points) (Figure is not drawn to scale.) 15 inches 27 inches 25 inches 32 inches Question 4 5 / 5 pts (06.07A MC) The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) Which of the following options is closest to the distance (in miles) between points A and B? (5 points) 2.24 miles 2.65 miles 3.74 miles 5.29 miles B / 3 - 6 equals 9. 100 POINTS!!PLEASE PROVIDE STEPS THANK YOU Putting a marshmallow directly in the fireA. Conduction B. Convention C. Radiation