A rose garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway through it. The garden region is shown below. There will not be roes in the walkway. Find the total area where roes will be planted. Show your work.

A Rose Garden Is Going To Be Built In The City Park In The Shape Of A Parallelogram With A Rectangular

Answers

Answer 1

760 sq feet

Step-by-step explanation:

Step 1 :

The sides of the given parallelogram are 60 feet and 40 feet and the height is 38 feet

The length of the rectangular walkway = 38 ft

Width of the walkway = 20 ft

The roses are planted in the park (parallelogram) except in the walkways 's area ( rectangle)

Hence the total area where the roses are planted is the park 's area (parallelogram) - the walkway's area ( rectangle.)

Step 2 :

Area of the park (parallelogram ) = b * h = 40 * 38 = 1520 sq ft

Area of the walkway (rectangle) = l * b = 38 * 20 = 760 sq ft

Area of the park where roses will be planted = 1520 - 760 = 760 sq ft.


Related Questions

What is the net force on this object?

0 newtons
8 newtons
22 newtons
36 newtons

Answers

Answer:

8 Newtons

Step-by-step explanation:

Friction and Gravity are both known to be negative forces such as -20 and -14

So doing the math

22 + 20 = 42

42 - 20 = 22

22 - 14 = 8

8 is your answer, hope this helped!

Answer:

8 N to the right.

Step-by-step explanation:

Resolving vertical forces

upwards = 20 N, down = 20 N

- so the Net Force = 0.

Resolving horizontally :

Net force =  22 - 14 = 8 Newtons.

Your math test has 38 questions and is worth 200 points. The test consists of
multiple-choice questions worth 4 points each and open-ended questions
worth 20 points each. How many of each type of question are there?

Answers

The test has 35 multiple-choice questions and 3 open-ended questions.

To solve this, we can set up a system of linear equations. Let x represent the number of multiple-choice questions and y represent the number of open-ended questions.

Equation 1: x + y = 38 (total questions)

Equation 2: 4x + 20y = 200 (total points)

By solving this system of equations, we can find the values of x and y. First, multiply equation 1 by 4 and subtract it from equation 2:

4(x + y) = 4(38) => 4x + 4y = 152

4x + 20y = 200 - (4x + 4y = 152) gives: 16y = 48 or y = 3.

Substituting y = 3 into equation 1 gives: x = 38 - 3 = 35.

Therefore, there are 35 multiple-choice questions and 3 open-ended questions on the test.

Gaby would like to order a Cobb salad and a drink. What is the minimum amount of money she will have to borrow?(Total money they have is $50 and a Cobb salad costs $8.95 a drink costs $1.55)​

Answers

Answer:

Gaby do not need to borrow money and they are left with $39.5      

Step-by-step explanation:

We are given the following in the question:

Total money = $50

Cost of a Cobb salad = $8.95

Cost of a drink = $1.55

Order: A Cobb salad and a drink

Cost of order =

[tex]= 8.95 + 1.55\\=\$10.5[/tex]

Thus, the total cost of order is $10.5

Money left =

= Total money - Order bill

[tex]=50 - 10.5\\=\$ 39.5[/tex]

Thus, Gaby do not need to borrow money and they are left with $39.5.

what is 240,000,591 divides by 176​

Answers

Answer:

240,000,591÷176= 1363639.72159

Answer:

1,363,639.721590909

Step-by-step explanation:

Subtract.
Your answer should be a polynomial in standard form.
(
6
y
2

9
y
+
4
)

(

7
y
2
+
5
y
+
1
)

Answers

Answer:

Step-by-step explanation:

(−8* y^2−9*y)+(8*y^3+9*y^2−2*y) 

first, remove extraneous parentheses (or distribute if negative)

=−8* y^2−9*y+8*y^3+9*y^2−2*y  

then group terms in decreasing degree of y (variable)

=+8*y^3 −8* y^2+9*y^2  −9*y−2*y

simply expression by adding/subtracting similar terms

=+8*y^3 +y^2  −11*y

to give the final answer.

Luna buys a shirt that costs $15.65. She gives the cashier $20 and receives $3.25 in change. What is the percent error in the amount of change she was given?

Answers

The error in the amount of change she was 25.28%.

Step-by-step explanation:

Given,

The actual price = 15.65$

The amount Luna gives to cashier = 20$

The change she receives = c = 3.25$

The actual amount of changes = x = total amount - actual price:

20$ - 15.65$ = 4.35

The percentage of error can be found using: [tex]\frac{x-c}{x}[/tex]

By putting the values in equation, we get

=> [tex]\frac{4.35 - 3.25}{4.35} * 100[/tex]

=> [tex]\frac{1.10}{4.35} * 100[/tex]

=> 25.28  %

Hence, the error in the amount of change she was 25.28%.

The percent error in the amount of change Luna was given is:

[tex]\[\boxed{25.29\%}\][/tex]

To determine the percent error in the amount of change Luna was given, we need to compare the actual change received to the correct change she should have received.

Step 1: Calculate the Correct Change

Luna gave the cashier $20 for a shirt that costs $15.65. The correct amount of change should be:

[tex]\[\text{Correct Change} = 20 - 15.65 = 4.35 \, \text{dollars}\][/tex]

Step 2: Calculate the Error

The cashier gave Luna $3.25 instead of $4.35. The error in the change given is:

[tex]\[\text{Error} = \text{Correct Change} - \text{Actual Change Given} = 4.35 - 3.25 = 1.10 \, \text{dollars}\][/tex]

Step 3: Calculate the Percent Error

Percent error is given by the formula:

[tex]\[\text{Percent Error} = \left( \frac{\text{Error}}{\text{Correct Change}} \right) \times 100\][/tex]

Substitute the values into the formula:

[tex]\[\text{Percent Error} = \left( \frac{1.10}{4.35} \right) \times 100\][/tex]

Perform the division:

[tex]\[\frac{1.10}{4.35} \approx 0.2529\][/tex]

Convert to a percentage:

[tex]\[0.2529 \times 100 \approx 25.29\%\][/tex]

The percent error in the amount of change Luna was given is:

[tex]\[\boxed{25.29\%}\][/tex]

Mr. Allen bought a new computer. His monthly payment plan is shown in the table.

Answers

Mr. Allen starts with a higher initial amount ($560) compared to Mr. Jessup ($400).

Mr. Allen pays off a larger amount each month ($80) compared to Mr. Jessup ($40).

The initial values and rates of change for Mr. Allen's and Mr. Jessup's payment plans can be compared based on the given information.

1. Initial Values:

  - Mr. Allen's initial amount S: $560

  - Mr. Jessup's initial amount: $400

  Difference in initial values: $560 - $400 = $160

  Mr. Allen's initial value is $160 more than Mr. Jessup's.

2. Rates of Change:

  - Mr. Allen's rate of change: $80 per month

  - Mr. Jessup's rate of change: $40 per month

  The rate of change represents the amount by which the owed amount decreases each month. Mr. Allen's rate of change is greater because he pays off $80 per month, while Mr. Jessup pays off $40 per month.

In summary:

Mr. Allen starts with a higher initial amount ($560) compared to Mr. Jessup ($400).

Mr. Allen pays off a larger amount each month ($80) compared to Mr. Jessup ($40).

Complete question:

Mr. Allen bought a new computer. His monthly payment plan is shown in the table.

Month                                      0        1     2         3        4       5      6     7

Amount Mr. Allen Owes (S)  560 480   400  320   240  160  80    0

Mr. Jessup buys a new computer for $400. He makes monthly payments of $40 until the computer is paid for. Compare the initial values and rates of change of each function.

You can graph both functions to show that the amount Mr. Allen owes starts at $560 and decreases $80 per month. The amount that Mr. Jessup owes starts at $400 and decreases $40 each month.

Mr. Allen's initial value is $160 more than Mr. Jessup's. Mr. Allen's rate of change is greater than Mr. Jessup's rate of change.

Final answer:

To calculate Peter's monthly expenses, add up the amounts in row 5 of the table. Compare the total expenses with different salaries to determine if Peter can meet them. Advise Peter to create a budget and prioritize expenses if he wants to move out.

Explanation:

To calculate Peter's monthly expenses, we need to add up all the amounts in row 5 of the table. Assuming each amount represents a monthly expense, we can sum them up to get the total monthly expenses. To determine if Peter can meet his expenses with different salaries, we compare the total expenses with each salary. If the salary is greater than or equal to the total expenses, Peter can meet his expenses. If the salary is less than the total expenses, Peter cannot meet his expenses.

If Peter wants to move out of his parent's house, I would advise him to create a budget and prioritize his expenses. He should also consider finding ways to increase his income or reduce his expenses to make moving out more affordable.

what is the measure of a? ab=15, bc=15,ac=15

Answers

Answer:

5 or 3

Step-by-step explanation:

1.
Simplify: 2.6 x 8.4-5.4
A. 2.32
B. 7.8
C. 16.44
D. 21.3

Answers

Answer:

b

Step-by-step explanation:

C. 16.44
2.6*8.4=21.84
21.84-5.4=16.44

what is 9/7+5/8 as a fraction

Answers

Answer:9/7+5/8=72/56+35/56

Step-by-step explanation:9/7 times 8 by both 9 and 7 and times 7 by both 5   and 8 and you will get your answer

Answer:

[tex]1\frac{51}{56}[/tex]

Step-by-step explanation:

In order to find the answer to this question you will have to find the common denominator, (CD) multiply the denominators by the amount it takes to receive the common deliminator then do the same with the numerators without finding the common numerator, and then add the two numerators together and reduce if needed.

[tex]\frac{9}{7} +\frac{5}{8}[/tex]

Find the common denominator:

[tex]CD=56[/tex]

[tex]9\times 8 =72[/tex]

[tex]7 \times 8 = 56[/tex]

[tex]= \frac{72}{56}[/tex]

Do the same with the second fraction:

[tex]5\times7=35[/tex]

[tex]8\times7=56[/tex]

[tex]=\frac{35}{56}[/tex]

Then you would have:

[tex]\frac{72}{56} +\frac{35}{56}[/tex]  

Add the numerators:

[tex]72+35=107[/tex]

[tex]=\frac{107}{56}[/tex]

Turn the improper fraction into a mixed number:

[tex]\frac{107}{56} = 1\frac{51}{56}[/tex]

You get this by dividing 107 by 56 which should give you 1 with the remainder of 51 and you keep the denominator the same.

[tex]=1\frac{51}{56}[/tex]

Hope this helps.

PAGE 11
2) 4x+2(x*3)=6x-6

A x=0
B x=6
C INFINITE SOLUTIONS
D NO SOLUTION

Answers

your answer would be A

ye boi its A | SMART BOIS

I need help on something on my Math assignment. In this problem, they already have the final answer to the volume of a half-sphere (1,071.79) in^3. the problem wants me to find the radius of the half-sphere, so I figured if I want to find radius, I must do the formula backward. But I only end up with a number like 0.00195311892566 and I don't think that is the correct answer.

Can you help me?


Sarah has a pond in the shape of a half sphere in her back yard. The pond currently holds 1,071.79 cubic inches of water. What is the radius of the pond?

Show your work and explain your answer.

Answers

Answer:

Hi I am cool

Step-by-step explanation:

Answer:

Don't you just divided that by 3?

Step-by-step explanation:

Please help with #48

Answers

Step-by-step explanation:

Among the three sides of length 9cm,11cm and 13cm;

9cm is the shortest and 13cm is the longest

the shortest of the corresponding i.e 9cm real - life distance= 125 km

Therefore, the longest of the corresponding i.e 13cm real - life distance= 125 ×13/9

= 180.55

= 180.6 km

Helpppppppppppppppppp

Answers

Option D:

[tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7[/tex]

Solution:

Given expression is [tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)[/tex].

To find the product of the expression:

[tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)[/tex]

Multiply each term of the first term with each term of the 2nd term.

           [tex]=y^{2}\left(8 y^{2}+y+1\right) +3 y\left(8 y^{2}+y+1\right) +7\left(8 y^{2}+y+1\right)[/tex]

Using the exponent rule: [tex]a^m \cdot a^n = a^{m+n}[/tex]

           [tex]=\left(8 y^{4}+y^3+y^2\right) +\left(24 y^{3}+3y^2+3y\right) +\left(56 y^{2}+7y+7\right)[/tex]

           [tex]=8 y^{4}+y^3+y^2+24 y^{3}+3y^2+3y+56 y^{2}+7y+7[/tex]

Arrange the terms with same power.

           [tex]=8 y^{4}+y^3+24 y^{3}+y^2+3y^2+56 y^{2}+7y+3y+7[/tex]

           [tex]=8 y^{4}+25 y^{3}+60 y^{2}+10y+7[/tex]

Hence option D is the correct answer.

[tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7[/tex]

How do you answer this question??

Answers

Answer:

1) { 2,3,4,6,8,9,10,12,15} , {2,4,8,10}, { 2,4,8,10}

Step-by-step explanation:

£ = [ 1,2,3,4,6,8,12,16,24 48}

A = { 2,4,6,8,10}

B = { 3,6,9,12,15}

1) AUB = all members in A and B

= { 2,3,4,6,8,9,10,12,15}

2) AnB' = members in A not in B

{2,4,8,10}

3) A - B = take away members of B in A that is B from A

= { 2,4,8,10}

I hope this was helpful, please mark as brainliest

The triangle cookie cutter has a base of 10 centimeters and a height of 8 centimeters. What is the area of each triangle cookie

Answers

Answer:

well im not sure but i think u multiply 8 times 10 which is 80 which might be the area hope this helps

Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.

Answers

Solve 5 - 2x < 7. A) x < -1 B) x > -1 C) x < -12 D) x > -12

Evan enjoys eating fresh fruits and vegetables. This
year, he decided to grow his own garden. The diagram
shows the dimensions of his garden
He fills his garden with enriched topsoil at a height of 2
inches. How much topsoil does Evan use?
48 in
cubic inches
24 in

Answers

Answer:

[tex]2304 \ in^3[/tex]

Step-by-step explanation:

Given the surface dimensions of the garden as 24 inches by 48 inches:

#Calculate surface area of the garden's top:

[tex]A=lw\\\\=48\times 24\\\\=1152 in^2[/tex]

Given the soil's thickness is 2 Inches, we multiply this thickness by the garden's surface area to get volume of soil used:

[tex]V=tA, t-thickness, A=Area=1152 \ in^2\\\\=2 \ in \times 1152\ in^2\\\\=2304 \ in^3[/tex]

Hence, the amount of soil used is 2304 cubic inches.

Answer: those are right!

Hope this helps ❤️

a dog and a cat together weigh 27 pounds if the dog's weight is an odd number and if he weighs twice as much as she does how much do each weight.

Answers

Answer:

Dog: 9 pounds

Cat: 18 pounds

Step-by-step explanation:

x + y= 27

y = 2x

2x + x = 27

3x = 27

x = 9

y = 2x = 18

In the diagram above, if the circle with the center A has an area of 72 pi, what is the area of the circle with center B?
18pi
24pi
30pi
36pi
48pi​

Answers

Final answer:

Without additional information about the relationship between the two circles, it is not possible to definitively determine the area of circle B based on the area of circle A. If the circles are identical, the area of circle B is also 72 pi.

Explanation:

Given the area of the circle with the centre A is 72 pi, we find the radius using the formula for the area of a circle: A = πr². Therefore, the radius of circle A, rA, can be found by rearranging the formula to rA = √(A/π). This gives us a radius of √(72) = 8.48 units. Without further information about the relationship between circle A and circle B, we cannot definitively determine the area of circle B. If the two circles are identical, then the area of circle B would also be 72 pi. However, if the radius or diameter of circle B is different, you would have to use that measurement to calculate the area using the formula A = πr².

Learn more about Circle areas here:

https://brainly.com/question/31885235

#SPJ11

Solve the word problems. Round the answer to the nearest tenth.

Mark is on his way home for work. He drives 35 miles due North and then 42 miles due west. Find the shortest distance he can cover to reach home early.

54.7 miles


54.785 miles


547 miles


54 miles

Answers

Option A:

The shortest distance Mark can cover to reach home early is 54.7 miles.

Solution:

Towards North  = 35 miles

Towards West = 42 miles

Using Pythagoras theorem,

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

Let x be the hypotenuse.

[tex]x^2=35^2+42^2[/tex]

[tex]x^2=1225+1764[/tex]

[tex]x^2=2989[/tex]

Taking square root on both sides, we get

[tex]\sqrt{x^2}=\sqrt {2989}[/tex]

x = 54.67

x = 54.7

The shortest distance Mark can cover to reach home early is 54.7 miles.

Option A is the correct answer.

Why do basic exponential functions always have a horizontal asymptote at y = 0?

Answers

Answer:

becouse the value of the exponential function cant go negative... there is no exponent that makes a number negative if the base is positive..

Step-by-step explanation:

Final answer:

Basic exponential functions have a horizontal asymptote at y = 0 because as the input x increases, the output of the function approaches zero but never touches it due to exponential decay.

Explanation:

Basic exponential functions always have a horizontal asymptote at y = 0 because as the value of x becomes very large, the value of the exponential function approaches zero. This is due to the nature of exponential decay, where the function's rate of change decreases exponentially. Exponential functions are of the form f(x) = a^x, where a is a positive constant different from 1. When a is less than 1, the function represents exponential decay, and as x approaches infinity, f(x) approaches zero, but never actually reaches it, hence creating a horizontal asymptote at y = 0.


what does have no change mean in math

Answers

Answer:

  things are the same as they were

Step-by-step explanation:

"No change" in math means the same thing it does in English. Whatever it is you're looking at is the same now as it was before. It has not changed. The amount of change is zero.

Final answer:

In mathematics, 'no change' refers to a situation where a value or quantity remains constant over time or during certain operations. It can be used in various contexts, including functions, equations, and graphing to represent a static state.

Explanation:

In mathematics, the term 'no change' often refers to a situation where a value remains constant over time or through a particular process. For example, if a quantity does not increase or decrease, we can say that there has been no change in that quantity. Another way this might come up is in functions or equations, where certain operations have no effect on the input value, meaning the output remains the same as the input.

No change could also mean that a variable or a set of variables remains unaffected by certain transformations. In algebra, it might refer to a constant function where, regardless of the input, the output is always the same. No change might also be used in the context of graphing; if a graph stays flat without any increase or decrease, it represents no change in the value being graphed over the specified domain.

One cup of cooked spinach contains 377% of the recommended value of vitamin A. What fraction of the recommended daily value of vitamin A is in one cup of cooked spinach?

Answers

Answer:

[tex]\frac{337}{100}[/tex]

Step-by-step explanation:

It is given that one cup of cooked spinach contains 337% of the recommended value of vitamin A.

Therefore, vitamin A is present in one cup of cooked spinach by 337%.

Hence, to represent the fraction of the recommended daily value of vitamin A in one cup of cooked spinach, it will be [tex]\frac{337}{100}[/tex]. (Answer)

{Converting the percentage into fraction}

HELP PLEASE BE QUICK

Answers

Answer:

8

Step-by-step explanation:

Area of a circle = πr^2

64π / π = πr^2 / π

sqrt(64) = sqrt(r^2)

8 = r

Answer:  8

The five-number summary for the number of accounts managed by each sales manager at Force Inc. is shown in the following table. \text{Min}Minstart text, M, i, n, end text Q_1Q 1 ​ Q, start subscript, 1, end subscript \text{Median}Medianstart text, M, e, d, i, a, n, end text Q_3Q 3 ​ Q, start subscript, 3, end subscript \text{Max}Maxstart text, M, a, x, end text 353535 454545 505050 656565 858585 The five-number summary suggests that about 50\%50%50, percent of sales managers at Force Inc. manage fewer than what number of accounts?

Answers

The median is is the midpoint of the data. This means half is below 50 and half is above 50.

The answer would be they handle less than 50 accounts.

50% of sales managers at Force Inc. manages fewer than 50( = the median given) number of accounts.

Given that:

[tex]Min = 35\\Q_1 = 45\\Median = 50\\Q_3 = 65\\Maximum = 85[/tex]

These 5 numbers summary tells the partition of data or quartiles with endpoints as minimum and maximum.

The median is a point for which the counts of data lying above it is equal to the counts of data lying below it.

Since the question asks about :

50% Sales managers manage < ? number of accounts

and since 50% of data lie below and above the median which is 50 given in the table.

Thus we have:

50% of the Sales manager at Force Inc. managing fewer than 50(the median given) number of accounts.

Learn more here:

https://brainly.com/question/300591

Find the slope of the line that passes through the points A(-3,1) and B(2,-5)

Answers

Answer:

Slope=-6/5

Step-by-step explanation:

Formula for calculating slope is y2-y1/x2-x1

y1=1

y2=-5

x1=-3

x2=2

Apply the above formula

-5-1/2-(-3)

-5-1/2+3

-6/5

In 20 years, Sam will be 2 times Mary's age. 20 years ago Sam was 4 times Mary's age. How old are Sam and Mary now?

Answers

Answer:

in 20 years Sam = 32 = same as Mary so 20 years before Mary was 12 and Sam was 4 times older when she was 48. Sam is now 48 and Mary is 48.  

Step-by-step explanation:

In the diagram ABCD is a rectangle and PQ is parralell to AD

Answers

For the given rectangles, [tex]f=4[/tex] cm and [tex]g = 6[/tex] cm.

Step-by-step explanation:

Step 1:

The area of a rectangle is calculated by multiplying its length with its width. Both the rectangles APQD and PBCQ have the same width.

The second rectangle PBCQ has a length of 9 cm. Its area is determined by subtracting the area of APQD from the area of ABCD.

The area of the rectangle PQBC [tex]= 60 - 24 = 36[/tex] [tex]cm^{2}[/tex].

Step 2:

The length of rectangle PBCQ is 9 cm and the area is 36 [tex]cm^{2}[/tex] so the width can be determined.

[tex]Width = \frac{area}{length} = \frac{36}{9} = 4[/tex] cm. So [tex]f=4[/tex] cm.

Step 3:

The width of the rectangle APQD is also 4cm.

The width of the rectangle APQD is 4 cm and the area is 24 [tex]cm^{2}[/tex].

[tex]length = \frac{area}{width} = \frac{24}{4} = 6[/tex] cm. So [tex]g = 6[/tex] cm.

Translate the phrase into an algebraic expression. 9 more than x

Answers

Two correct answers:
9 + x
x + 9

Or you can say
x - -9
or
9 - -x

Answer: 9+x

Step-by-step explanation:

If you have x apples, and you need nine more, you would need to ADD 9 and "x".

Other Questions
A mine shaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young's modulus of the cable is 101010 N/m2. When the cable is fully extended, the end of the cable is 700 m below the support. Vlad tried to solve an equation step by step.\qquad\begin{aligned} -8p+14&=42\\\\ \\ -8p&=28&\green{\text{Step } 1}\\\\ \\ p&=-3.5&\blue{\text{Step } 2}\\\\ \end{aligned} 8p+148pp=42=28=3.5Step 1Step 2 Russel wants to buy three ties and a belt and must spend no more that $80. The belt costs $28.50. If three ties are the same price, then how much can he pay for each tie? What happens to water when it freezesA its mass increasesB its mass decreasesC its density increasesD its density decreases Which of the following is included in the statement of cash flows? a.Cash flows from investing activities b.Total changes in stockholders' equity c.Changes in retained earnings d.Total assets A rectangular box has a width of x meters, length of x + 3 meters, and a height of x 2 meters. Write an expression for its volume. Remember an expression does NOT have an equal sign The reason the hypodermis acts as a shock absorber is that This psychological model holds that everyone experiences repetitive, unwanted, and intrusive thoughts, but those with obsessive-compulsive disorder are not able to dismiss or ignore those thoughts. The Waking Dead Co provides services for both cash and on account The accounts are adjusted monthly, For September, the folowing information is available Accounts Receivable on September 1st is $22,400 Allowance for Doubtful Accounts on September 1st is $4,400 Services provided during September for cash $20,000 Services provided during September on account $45,000 During the month collections on account were $34,400 and accounts wrilten off as bad debts were $2.000 The Walking Dead essmates bad detes at % of credt sales Do not use the dollar sign or a decimal in your answer. Commas are ok. What is the September 30th net realzable value of Accounts Recelvable? The x-intercept of a function y = f(x) are the real solutions of theequation f(x) = 0. Myers Business Systems is evaluating the introduction of a new product. The possible levels of unit sales and the probabilities of their occurrence are given:Possiable Market Reaction Sales in Units ProbabilitesLow Response 20 0.10Moderate Response 40 0.30Hight Response 55 0.40Very High Response 70 0.20a. What is the expected value of sales for the new product?b. What is the standard deviation of unit sales? The initial temperature of a bomb calorimeter is 28.50C. When a chemist carries out a reaction in this calorimeter, its temperature decreases to 27.45C. If the calorimeter has a mass of 1.400 kg and a specific heat of 3.52 J/(giC), how much heat is absorbed by the reaction? Use . On January 1, 2020, Morgan Enterprises issued 8%, 20-year bonds with a face amount of $5,000,000 at 101. Interest is payable annually on January 1. Prepare the entries to record the issuance of the bonds and the first annual interest accrual and amortization assuming that the company uses straight-line amortization A friend tells you to apply for a sales job at a certain company because the mean income of salespeople last year was $47,500. Last year, 6 salespeople earned $33,000, 3 earned $46,000, 2 earned $42,000 and 1 earned $150,000. Would you apply for the job based on what your friend says? Explain in reference to the 3 measures of center. Documentation should be provided certifying that trucks transporting eggs were kept at 45 degrees F or lower.TrueFalse Find the slop for each ordered pair During crossing over:__________. 1. Chromosomes become chromatin. 2. Chromatids exchange segments of genetic material 3. Chromosomes switch poles. 4. Chromatin becomes chromosomes. 5. Mitosis becomes meiosis. In a study of pain relievers, 50 people were given product A, and all but 11 experienced relief. In the same study, 100 people were given product B, and all but 14 experienced relief. Fill in the blanks of the statement below to make the statement the most reasonable possible. Produ. V ? performed worse in the study because % failed to get relief with this product, whereas only 6 failed to get relief with Product ? What is the solution to the system of equations below?y = three-fourths x minus 12 and y = negative 4 x minus 31(4, 15)(4, 12)(4, 9)(4, 47) Is 9 + 97 positive or negative?A) PositiveB) Negative