Can someone help me please? It’s like my 3rd time trying to get some answers for this question. Thanks. :)

Can Someone Help Me Please? Its Like My 3rd Time Trying To Get Some Answers For This Question. Thanks.

Answers

Answer 1

Answer:

both rates of change equal the slope of the line (3/4)

Step-by-step explanation:

Part a)

We calculate the rate of change using the formula:

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

for the first interval [0,6], we calculate the y-values at x=0 and x=6;

at x=0 : [tex]y=\frac{3}{2} (0)+2=2[/tex]

at x=6 : [tex]y=\frac{3}{2} (6)+2=11[/tex]

therefore, the rate of change in this interval is: [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{11-2}{6-0}=\frac{9}{6} =\frac{3}{2}[/tex]

For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;

at x=-4 : [tex]y=\frac{3}{2} (-4)+2=-4[/tex]

at x=4 : [tex]y=\frac{3}{2} (4)+2=8[/tex]

therefore, the rate of change in this interval is: [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-(-4)}{4-(-4)}=\frac{12}{8} =\frac{3}{2}[/tex]

Part b):

Notice that both rates of change equal the value of the slope of the linear function (3/2)


Related Questions

Which of the following are true about x? Check all that
apply.
0 xEA
XEB
хе С
XEAUB
XEAUC
XEANB

Answers

Answer:

all except the first one

Step-by-step explanation:

just did this assignment

The statements true about x are all the statements other than first one. x ∈ B, x ∉ C, x ∈ A∪B, x ∈ A∪C and x ∈ A∩B.

What is Venn Diagram?

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Given is a Venn diagram.

The blue portion of the circle is A.

Pink portion is B.

Green portion is C.

x is inside the blue circle.

So x belongs to A. x ∈ A

So the statement 1 is not true.

x is also inside the pink portion.

So, x ∈ B

x is not inside the green portion.

So, x ∉ C

A ∪ B consists of all the elements inside A and all the elements inside B.

So x ∈ A∪B

Since x ∈ A, x will be included in A ∪ C.

So, x ∈ A∪C

A ∩ B consists of elements which are both in A and B.

Since, x ∈ A and x ∈ B, x ∈ A∩B

Hence all the statements other than first are true.

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The complete question is given below.

What is the measure of ?
Angles are not necessarily drawn to scale.
149

Answers

Answer:

60

Step-by-step explanation:

Evan's science class planted sunflower seeds as part of a research project. A student was sent out each week to measure the height of a flower of their choice. The data in the scatter plot shows their findings from week 2 to week 12.


Which function, h(w), approximates the height of the sunflowers after w weeks?

A) h(w) = 0.30x - 1.09

B) h(w) = 0.30x + 1.52

C) h(w) = 3.18x + 3.78

D) h(w) = 3.23x - 4.14

Answers

Answer:

D

Step-by-step explanation:

If you graph equation D you get the following graph, which is closest to the plots

Final answer:

It's impossible to determine the accurate function h(w) that approximates the height of the sunflowers after w weeks from the question alone. This would typically involve evaluating a scatter plot and applying linear regression to find the best fitting function. The approximating function would be understood as the one that best matches the given options, minimizing the distance between the data points and the line.

Explanation:

The function that approximates the height of the sunflowers after w weeks (h(w)) cannot be determined directly from the question as it depends on the data present in the scatter plot that was mentioned. Given a scatter plot, we would aim to find a function that best approximates the trend or pattern seen in the plot.

It's an instance of linear regression, a statistical method used to model the relationship between a dependent variable (in this case, height of the sunflowers) and one or more independent variables (in this case, number of weeks). Assuming a linear relationship between weeks and the height of the sunflowers, we want to fit a linear equation (like the given options) that represents this correlation, minimizing the distance between the data points and the line.

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The time it takes for a canoe to go 3 miles upstream and back 3 miles downstream is 4 hours. The current in the lake is 1 mile per hour. Find the average speed of the canoe.

Answers

Final answer:

The average speed of the canoe is 1.5 mph.

Explanation:

To find the average speed of the canoe, we need to calculate the time it takes for the canoe to go both upstream and downstream. Let's start with the time it takes to go upstream:

Distance = 3 miles
Speed of canoe = Speed in still water - Speed of current = 8 mph - 1 mph = 7 mph

Time = Distance / Speed = 3 miles / 7 mph = 0.429 hours

Now, let's calculate the time it takes to go downstream:

Distance = 3 miles
Speed of canoe = Speed in still water + Speed of current = 8 mph + 1 mph = 9 mph

Time = Distance / Speed = 3 miles / 9 mph = 0.333 hours

Finally, we can find the average speed of the canoe by dividing the total distance traveled (6 miles) by the total time taken (4 hours): average speed = total distance / total time = 6 miles / 4 hours = 1.5 mph.

PLS HELP ME IF YOU WANT A BRAINLIEST IM DOING THIS NOW and IDU, Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in each school day for a month were divided by quartiles and summarized in the box plot. Use the drop-down menus to choose the median, interquartile range, and range.

>Median:

>Interquartile range:

>Range:

Answers

Answer: Median: 18

              Interquartile range: 4

              Range: 18

Step-by-step explanation: The median line is at 18, the interquartile range is the difference between the ends of the box, 20 - 16 = 4. The range is the difference between the ends of the line, 28 - 10 = 18. Let's take a look at how the data can be compared, from the two schools using the box plot.

From the information provided, it is clear that the

Median = 18Interquartile range = 4Range = 18

How do we arrive at the following above?

By observation, the median line is at 18. Note that the median of a distribution is the quantity that lies at the midpoint of a frequency distribution.

The interquartile range is the variance between the quantity at the end of the box, 20 - 16 = 4. The interquartile range (IQR)is defined as the mid 50% of the values in distribution when arranged from the lowest to the highest.

The range is defined as the difference between the quantities at the terminal points of the line. Hence, 28 - 10 = 18.

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You need $40 to buy a new pair of shoes. You have saved $15. Which inequality
models how much more you must save?

Answers

you must save $25 in order to buy a new pair of shoes

Answer:

40<or= 15+ x

Step-by-step explanation:

Plz plz plz this is due today and I really need help

Answers

Answer:

The y-intercept is (0, 34).

I used Demos graphing calculator and included an image of what values I put in.

given the sequence 3, 6... what would the 10th term be?

Answers

Answer:

30

It is the multiple of 3.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

That are counting by 3’s so the 10th term would be 30 because 3×10 =30

Please mark me as Brainliest:)

Does someone knows the correct answer?? I think is d but I don’t know

Answers

Answer:

I think you are right

Step-by-step explanation:

Answer:

YES I AM PRETTY SURE ITs :D GOOD LUCK HAVE A GREAT DAY

Step-by-step explanation:

Which complex number is equivalent to (5 + 12i) − (9i2 − 6i), where i =
−1
?

Answers

Answer:

14 + 18i

Step-by-step explanation:

[tex](5 + 12i) - (9 {i}^{2} - 6i) \\ = (5 + 12i) - (9 \times (- 1) - 6i) \\ = (5 + 12i) - ( - 9 - 6i) \\ = (5 + 12i) + ( 9 + 6i) \\ = 5 + 12i + 9 + 6i \\ \red { \bold{ = 14 + 18i}}[/tex]

Answer: It's 14+18i I got a correct

Tessa bought stock in a restaurant for $238.00. Her stock is now worth $330.82. What is the percentage increase of the value of Tessa's stock?

Answers

Answer:

39%

Step-by-step explanation:

Old value = $238.00

New value = $330.82

Change in value = New value - old value

= $330.82 - $238.00

= $92.82

percentage increase = Change in value/ old value * 100

= 92.82 / 238 * 100

= 0.39 * 100

= 39%

The polynomial p(x) = x^3 - 21x - 20 has a known factor of (x-5). Rewrite p(x) as a product of linear factors.

Answers

Answer:

p(x) = (x - 5)(x + 1)(x + 4)

Step-by-step explanation:

Using Synthetic division to find the quotient on dividing p(x) by (x - 5)

5 | 1  0  - 21   - 20 ← 0 to represent the coefficient of x² term

        5    25     20

    -----------------------

     1  5   4        0 ← remainder is zero

quotient = x² + 5x + 4 = (x + 1)(x + 4)

p(x) = (x - 5)(x + 1)(x + 4)

The polynomial p(x) = x^3 - 21x - 20 can be written as a product of linear factors as follows;

(x-5) (x+4) (x+1).

According to the question, the polynomial, p(x) = x^3 - 21x - 20 has a known factor of (x- 5).

To further factorise this polynomial such that it becomes a product of linear factors, we must first, perform the long division of x³ - 21x - 20 divided by (x-5).

The polynomial long division is as in the image attached;

The result of the division of x³ - 21x - 20 by (x-5) yields;

x² + 5x + 4.

The expression, x² + 5x + 4 can however be further factorised so that we have;

x² + 5x + 4 = (x+4) (x-1)

Ultimately, the polynomial p(x) = x^3 - 21x - 20 can be written as a product of linear factors as follows;

(x-5) (x+4) (x+1).

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How many centimeters is Campsite 3 from the canoe rental office?

Answers

Answer:

hi

Step-by-step explanation:

u need to give more information plz thanks

Answer:5 centimeterts

Step-by-step explanation:it right

400 ml squash is made by mixing 50 ml of cordial with water. what fraction of the drink is water?give your answer in its simplest form.

Answers

squash = cordial + water

400 ml = 50 ml + x ml

350 ml = x ml

Therefore, 350 ml are water.

350 ml / 400 ml = 0.875 = [tex]\frac{350}{400} = \frac{35}{40} = \frac{7}{8}[/tex]

So the answer is 7 / 8

PLEASE HELP ME OUT I NEED HELP ASAP!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

when you add the same number to the previous number it forms a straight line

!NEED HELP URGENTLY!
p − 10p + -5p + 14p − -9p − 2 = -20

Answers

Answer:

p = -2

Step-by-step explanation:

p − 10p + -5p + 14p − -9p − 2 = -20

-9p + 9p + 9p = -20 + 2

9p = -18

p = -2

I will give you a Brainly crown if it is right. Will you help me

Answers

Answer: 811.2

Step-by-step explanation:

At 6: 00 a.m., Buffalo, NY had a temperature of 10℉. At noon, the temperature was −10℉, and at midnight it was −20℉.
write a statement comparing -10 and -20

Answers

Answer:

It got colder Because some nights it gets colder?

Larry is building a frame around a rectangular picture. He will need 46 inches of wood to do the entire frame. If the frame is 13
inches long, how wide is the frame?
A. 10 inches
B. 23 inches
C. 8 inches
D. 20 inches​

Answers

33 inches wide for the frame

Answer:

Step-by-step explanation:

Based on these results, which of these statements
are true?
-You would expect to get 0 heads and 3
heads about the same number of times.
-You would expect to get 1 head and 2 heads
about the same number of times.
-This would be a good experiment to use to
find the probability that a family has a dog or
a cat.
-This would be a good experiment to use to
find the probability that a family with 3 kids
has 1 boy

Answers

Answer:

e2020 is A and B

Step-by-step explanation:

Answer:

A-you would expect to get 0 heads and 3 heads about the same number of times

B-You would expect to get 1 head and 2 heads about the same number of times

Step-by-step explanation:

Find the tangent of theta

Answers

Given:

Right triangle.

Base = 10

Hypotenuse = 26

To find:

The missing side length

Solution:

Let the missing side length be x.

Using Pythagoras theorem:

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]10^2+x^2=26^2[/tex]

[tex]100+x^2=676[/tex]

Subtract 100 from both sides.

[tex]100+x^2-100=676-100[/tex]

[tex]x^2=576[/tex]

Taking square root on both sides.

[tex]x=24[/tex]

The missing side length of the right triangle is 24.

Genevieve works on her scrapbook from 11:27 am to 11:58 am. How many minutes does she work on her scrapbook

Answers

Answer:

31

Step-by-step explanation:

time is tricky due to the 60 minute interface. In those questions add to the lower number until you hit a rounded number.

Fortunately you don't need to use this in this problem, and can just subtract 58-27 to get 31

What is 351.68 rounded to the nearest tenth?

Answers

Answer:

351.7

Step-by-step explanation:

The first number after the decimal is the tenth. Round up if the second number is 5 or above, round down if the second number is below 5.

Answer:

351.7

Step-by-step explanation:

Look at the tenths space which is one place to the right of the decimal. It is a 6.

Then look at the number behind it: if the number behind is is 4 or less the number in front stays the same, if the number behind it is 5 or more the number in front goes up one more

so there is an 8 behind the 6, so you round the 6 to a 7

What is the slope of y = -4?

Answers

Answer:

Slope is 0

y-intercept:-4

Step-by-step explanation:

Answer:-4

Step-by-step explanation:

Because the slope is 0 so substitute

Factor each trinomial completely.
4x^2 - 25b^2 and x^2 - 81

Answers

Step-by-step explanation:

4x2 - 25b2

We can solve it by the squares so

(2x - 5b) (2x + 5b)

2) x2 - 81

The same case is here so

(x - 9) (x + 9)

The factorization of the trinomial are;

a. 4x² - 25b² = (2x + 5b)(2x - 5b)

b. x² - 81 = (x + 9)(x - 9)

What is the factorization of the trinomial?

To factor the trinomial 4x² - 25b², we can use the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b).

Applying this formula to 4x² - 25b², we have:

4x² - 25b² = (2x)² - (5b)²

Now, we can rewrite the trinomial as a difference of squares:

4x² - 25b² = (2x + 5b)(2x - 5b)

Therefore, the trinomial 4x² - 25b² can be factored as (2x + 5b)(2x - 5b).

To factor the trinomial x^2 - 81, we can use the difference of squares formula once again:

x² - 81 = x² - 9²

This can be written as a difference of squares:

x² - 81 = (x + 9)(x - 9)

Thus, the trinomial x² - 81 can be factored as (x + 9)(x - 9).

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Calculate the Rate of Return on an initial investment of $6,000 valued at $6,500.

Answers

Answer:

8.3%

Step-by-step explanation:

The rate of return on initial investment is 8.34%.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the investment is $6,000 and valued at $6,500. The rate of the return will be calculated as,

Rate of return = ( 6500 - 6000) / 6000

Rate of return = 800 / 6000

Rate of return = 8.34%

Therefore, the rate of return on initial investment is 8.34%.

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factor polynomial 4a^2-4a+1

Answers

Answer:

(2a−1)(2a−1)

Step-by-step explanation:

Factor 4a2−4a+1

4a2−4a+1

=(2a−1)(2a−1)

Answer:(2a-1)(2a-1)

Step-by-step explanation:

4a2-4a+1

Factorise

Factors of -4 is -2&-2

Substitute

4a2-2a-2a+1

2a(2a-1)-1(2a-1)

(2a-1)(2a-1)

Or we say

(2a-1) twice

The base diameter and the height of a cone are both equal
to x units
Which expression represents the volume of the cone, in
cubic units?
Pix^2

Answers

Answer:

1/3 times x squared divided by 4 times pi times x.

Step-by-step explanation:

Hope this helps!

Jim Tree bought a home with a 10% adjustable rate mortgage for 20 years. He paid $9.66 monthly per thousand on his original loan. At the end of 2 years he owes the bank $55,000. Since interest rates have risen to 12%, the bank will not renew the mortgage at this rate, or Jim can pay the bank $55,000. He decides to renew and will now pay $11.02 monthly per thousand on his loan. For comparison purposes the small amount of principal that has been paid during the 2 years can be ignored.

Old monthly payment =_______
New monthly payment =_______
Percent increase in monthly payment (to nearest tenth) =______

Answers

Old monthly payment = $966

New monthly payment = $605.10

Percent increase (to nearest tenth) = -37.3%

Given that,

Jim Tree bought a home with a 10% adjustable rate mortgage for 20 years.

He paid $9.66 monthly per thousand on his original loan.

At the end of 2 years, he owes the bank $55,000.

Interest rates have risen to 12%, and the bank will not renew the mortgage at this rate.

Jim can either pay the bank $55,000 or renew the mortgage at the higher interest rate.

Jim decides to renew and will now pay $11.02 monthly per thousand on his loan.

For comparison purposes, the small amount of principal that has been paid during the 2 years can be ignored.

Based on the information provided, Jim's old monthly payment can be calculated as follows:

Calculate Jim's original loan amount. We know that he paid $9.66 monthly per thousand on his original loan,

So if we divide his monthly payment by 1000,

We get his monthly interest rate:

$9.66 ÷ 1000 = 0.00966

Use the loan formula to calculate Jim's original loan amount:

Loan amount = Payment amount ÷ (Interest rate x (1 + Interest rate[tex])^N[/tex]- 1)

Where N is the number of payment.

Using this formula, and plugging in Jim's numbers, we get:

Loan amount = $9.66 ÷ (0.00966 x [tex](1 + 0.00966)^{240}[/tex] - 1)

                      = $100,000

Now that we know Jim's original loan amount, we can calculate his old monthly payment:

Old monthly payment = Loan amount x Payment amount per thousand

                                    = $100,000 x $9.66

                                    = $966

Therefore, Jim's old monthly payment was $966.

To calculate the new monthly payment and the percent increase,

We can follow these steps:

First, we need to calculate Jim's new loan amount.

We know that he owes the bank $55,000 after 2 years,

So we can use this amount as his new loan amount:

New loan amount = $55,000

Calculate Jim's new monthly interest rate.

We know that the interest rate has increased from 10% to 12%,

So we can calculate the new monthly interest rate as follows:

New monthly interest rate = 12% ÷ 12

                                            = 0.01

Use the loan formula again to calculate Jim's new monthly payment:

New monthly payment = Loan amount x Payment amount per thousand

                                      = $55,000 x $11.02

                                      = $605.10

Therefore, Jim's new monthly payment is $605.10.

To calculate the percent increase,

we can use the following formula:

Percent increase = ((New value - Old value) ÷ Old value) x 100%

Plugging in Jim's numbers, we get:

Percent increase = ((605.10 - 966) ÷ 966) x 100% = -37.3%

Therefore, the percent increase (to the nearest tenth) is -37.3%.

However, note that this is a negative value, which means that Jim's new monthly payment is actually lower than his old monthly payment.

This is likely due to the fact that the loan amount has decreased significantly since Jim has already paid off a portion of the loan during the first 2 years.

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Final Answer:

Old monthly payment = $531.30
New monthly payment = $605.10
Percent increase in monthly payment (to the nearest tenth) = 13.9%

Explanation:

Let's calculate each part step by step.
Firstly, we will calculate the old monthly payment. Jim was paying at a rate of $9.66 monthly per thousand dollars of the original loan. We'll first determine how many thousands of dollars Jim owed at the beginning:

1. Old Monthly Payment:
Since he owes $55,000 at the end of 2 years and hasn't paid much towards the principal, we assume that the original loan amount was approximately $55,000.

Now, if he paid $9.66 per thousand dollars of the loan, we will calculate the monthly payment with the following steps:
- Divide the loan amount by 1,000 to find out how many "units" of $9.66 he would have to pay.
- Multiply the number of units by $9.66 to find the monthly payment.

Doing the calculations:
[tex]\( \frac{55,000}{1,000} = 55 \) units. \\\\\( 55 \text{ units} \times $9.66 = 55 \times 9.66 = $531.30 \).[/tex]
So, the old monthly payment was $531.30.

2. New Monthly Payment:
Now that the interest rate has increased to 12%, Jim will be paying at a rate of $11.02 monthly per thousand dollars.

Using the same method as above:
- Divide the loan amount by 1,000 to get the number of units.
- Multiply the number of units by $11.02 to find the new monthly payment.

Calculations:
[tex]\( \frac{55,000}{1,000} = 55 \) units.\\\\\( 55 \text{ units} \times $11.02 = 55 \times 11.02 = $605.10 \).[/tex]
So, the new monthly payment is $605.10.

3. Percent Increase in Monthly Payment:
To find the percent increase, we'll use the formula:

[tex]\[ \text{Percent Increase} = \left( \frac{\text{New Payment} - \text{Old Payment}}{\text{Old Payment}} \right) \times 100 \][/tex]
Performing the calculation:
[tex]\[ \text{Percent Increase} = \left( \frac{605.10 - 531.30}{531.30} \right) \times 100 \\\\\[ \text{Percent Increase} = \left( \frac{73.80}{531.30} \right) \times 100 \\\\\[ \text{Percent Increase} = 0.1388 \times 100 \\\\\[ \text{Percent Increase} = 13.88\% \][/tex]

To find the nearest tenth, we'll round the percent increase to one decimal place:
13.88% rounded to the nearest tenth is 13.9%.

Now, we can write down the final answers:
Old monthly payment = $531.30
New monthly payment = $605.10
Percent increase in monthly payment (to the nearest tenth) = 13.9%

Heather earns 8.00 per hour for walking a dog how many hours must she work to earn 256.00
Pls be quicckkkkkk

Answers

32 hours. Hope this is quick!

Answer:

32

Step-by-step explanation:

Other Questions
Billy is an 11-year-old boy who was admitted to hospital with dehydration. His parents said that over the last few months, he had seemed tired and lacking in energy, and that despite eating well and drinking large quantities of fluids he had lost about 7 kg (15 lbs) in weight. He also seemed to be going to the toilet frequently, not only during the day but also during the night. On examination, there was evidence of dehydration (sunken eyes, loss of tissue turgor); his pulse rate was 115 BPM, blood pressure was 95/55 mmHg, respiratory rate was 20 breaths per minute, and his breath smelled of acetone.1. Comment on the history and findings following the physical examination of Billy.2. Comment on and interpret the test strip results. Are they consistent with your provisional diagnosis based on the history and physical examination findings? Where does 17 belong on the Venn diagram?A)IntegersB)Natural NumbersC)Rational NumbersD)Irrational NumbersREALLY NEED HELP I HAVE 8 MORE QUESTIONS PLS HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND 10 POINTS These box plots show daily low temperatures for a sample of days in twodifferent towns. Which statement is the most appropriate comparison of the spreads? Please help me! greatly appreciated A Deaf person goes to a sports bar, and asks the manager to turn on the captions. The manager turns it on. After a few minutes, a hearing customer nearby asks the manager to turn off the captions. The manager turns it off. The Deaf person asks the manager to mute the TV. The manager laughs and mutes the TV. What is this called? A cartoon last is one 1/2 of an hour. A movie is 6 times longer than the cartoon. How many minutes does it take to watch both the cartoon and the movie? (1hour = 60 minutes) To store stacks of clean plates, a cafeteria uses a closed cart with a spring-loaded shelf inside. Customers can take plates off the stack one at a time through a hole in the top. A stack of plates compresses the spring 0.40 m. The spring constant is 240 N/m. What is the elastic potential energy of the spring? 1. Selena can eat a large pizza by herself. True or False2. Who writes the song Como la Flor?3. What does A.B add to the music to make it special?4. What is the issue with Chris having a relationship withSelena?5. How does Selena feel when she thinks about Chris?6. How is Selenas Spanish described by her dad?7. According to Abraham (Selenas dad) being Mexican-American is easy. True or False8. What city in Mexico does the band play in the movie?9. How does Selena win over the Mexican press?10. What is happening to the stage during her concert inMexico?11. How did Selena finish high School?12. How does Selena feel when she is on stage?13. What does Selena tell her dad when confronted about herrelationship with Chris?14. Selena and Chris plan on leaving the band after they talkto her dad. True or False15. What is going to happen to the band if they continueseeing each other?16. Selena is poor and famous according to her dad. True andfalse17. Selena gets double dare to do what?18. According to the guy working at the water park. What isthe hardest thing to do?19. who would be wearing the different color dresses thatChris is talking about? In standardization of NaOH solution, a student found that 25.55cm3 of base neutralized exactly 21.35cm3 of 0.12M HCl. Find the molarity of the NaOH. What makes Boadicea's character a warrior archetype? Check all that apply.She is a powerful.She wears beautiful clothing.O She has a husband who loves her.O She is forced to make a difficult decision.She has duties to both family and country. How did the Constitution set up the legislative branch?OA) Two representative housesOB) One leader elected by a special collegeOC) Individuals appointed by the presidentOD) One representative house Sean and Katherine have been married for two years. They want to start a family soon. However, before having a child, they would like to secure their future and the future of their child. Which financial option will help them secure their familys future?A. invest in in several real estate optionsB. invest in high-risk shares that promise big returnsC. invest in a joint insurance and retirement plansD. become entrepreneurs or invest in a profit-making business Why was this congressional structure created by the framers of the Constitution? What function can be used to model the coronavirus growth A)linear b)quadratic c) exponential d) none of the above Plurals. Write out the plural form of each noun in Spanish spelling it correctly. Accent marks anddiacritical markings must be used correctly in order to receive credit for the question. (Note: You canenter accent marks easily by using the accent bar provided at the beginning of this exam.)38. actriz39. perro40. francs41. telfono42. flor answer to -18x-17=-53 What was Egypts first true pyramid? 21.In the standard equation for a line, what does the variable b stand for?y = mx + bX-coordinatey-coordinatey-interceptslope Every place experiences scarcities and shortages. Think about your community and your area: give an example of a scarcity or shortage it experiences. a father has brown hair (B), but the offspring have red hair (a recessive trait), like their mother (b). How is this possible?