Help me on this math question please

Help Me On This Math Question Please

Answers

Answer 1

Answer:

B. 24

Step-by-step explanation:

Subtract numbers from left to right.

[tex]\displaystyle 25.73-2.19=23.54[/tex]

Round to the nearest tenths.

[tex]\displaystyle 23.54=24[/tex]

24 is the correct answer.

Answer 2

Answer:

B. 24

Step-by-step explanation:

Estimation:

25.73 - 2.19 = 24


Related Questions

Which statements are true about parallelogram LMNO? Check all that apply.

x = 11

Answers

please insert the entire of the question

Answer:

1, 4, 5

Step-by-step explanation:

Use complete sentence to describe the net of a rectangular pyramid

Answers

The net of the rectangular pyramid consists of one rectangle and four triangles. The triangles are attached to each of the rectangle’s sides. Opposite triangles are identical while triangles beside one another are not always identical. The rectangle is the base of the pyramid and the triangles fold up and are the lateral faces.

Answer:

The net of a rectangular pyramid is consisting of a rectangle, for the base, and there are 4 more triangles that make up the lateral faces, and the triangles make the pyramid.

If sine theta equals one over three, what are the values of cos θ and tan θ?

cosine theta equals plus or minus four over three, tangent theta equals plus or minus one over two
cosine theta equals plus or minus two times square root of two over three, tangent theta equals plus or minus square root of two over four
cosine theta equals plus or minus four over three, tangent theta equals negative one over two
cosine theta equals plus or minus two times square root of two over three, tangent theta equals negative square root of two over two

Answers

Answer:

cosine theta equals plus or minus two times square root of two over three, tangent theta equals plus or minus square root of two over four

Step-by-step explanation:

Given:

sinθ=1/3

θ=19.47 degrees

then

cosθ= cos(19.47)=0.942 = 2(√2/3)

tanθ=tan(19.47)=0.35= √2/4

Hence option two is correct:cosine theta equals plus or minus two times square root of two over three, tangent theta equals plus or minus square root of two over four!

Answer:

So second choice.

[tex]\cos(\theta)=\pm \frac{2\sqrt{2}}{3}[/tex]

[tex]\tan(\theta)=\pm \frac{\sqrt{2}}{4}[/tex]

Step-by-step explanation:

I'm going to use a Pythagorean Identity, name the one that says:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex].

We are given: [tex]\sin(\theta)=\frac{1}{3}[/tex].

Inserting this into our identity above gives us:

[tex](\frac{1}{3})^2+\cos^2(\theta)=1[/tex]

Time to solve this for the cosine value:

[tex]\frac{1}{9}+\cos^2(\theta)=1[/tex]

Subtract 1/9 on both sides:

[tex]\cos^2(\theta)=1-\frac{1}{9}[/tex]

[tex]\cos^2(\theta)=\frac{8}{9}[/tex]

Square root both sides:

[tex]\cos(\theta)=\pm \sqrt{\frac{8}{9}}[/tex]

9 is a perfect square but 8 is not.

8 does contain a factor that is a perfect square which is 4.

So time for a rewrite:

[tex]\cos(\theta)=\pm \frac{\sqrt{4}\sqrt{2}}{3}[/tex]

[tex]\cos(\theta)=\pm \frac{2\sqrt{2}}{3}[/tex]

So without any other give information we can't know if cosine is positive or negative.

Now time for the tangent value.

You can find tangent value by using a quotient identity:

[tex]\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}[/tex]

[tex]\tan(\theta)= \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}[/tex]

Multiply top and bottom by 3 get's rid of the 3's on the bottom of each mini-fraction:

[tex]\tan(\theta)=\pm \frac{1}{2 \sqrt{2}}[/tex]

Multiply top and bottom by sqrt(2) to get rid of the square root on bottom:

[tex]\tan(\theta)=\pm \frac{1(\sqrt{2})}{2\sqrt{2}(\sqrt{2})}[/tex]

Simplifying:

[tex]\tan(\theta)=\pm \frac{\sqrt{2}}{2(2)}[/tex]

[tex]\tan(\theta)=\pm \frac{\sqrt{2}}{4}[/tex]

Emily had $56 in her account. She deposited a $265 check, and bought three equally priced backpacks for her children. The next day, when she checked her balance, it was $243. What was the price of each backpack?

Answers

56+265= 321
321-243= 78
78/3= 26
Each backpack cost $26

Answer:

$26

Step-by-step explanation:

Start with $56.

Add $265, obtaining a + balance of $321.

Let x represent the unit price of the backpacks.  Then:

$321 - 3x = $243.

Combining like terms:

3x = $78

Then x, the price of the individual backpack, was $78/3, or $26.

Which is the better deal? 12 pack of markers for $8.04, 8 pack of markers for $5.60, 24 pack of markers for $14.40, or 16 pack of markers for $10.40

Answers

Answer:

$14.40 for 24 markers

Step-by-step explanation:

Lets find the price per marker

$8.04 /12 = .67

$5.60/8 =.70

$14.40 /24 =.60

$10.40/16 =.65

The lowest amount is .60, which is the best deal

$14.40 for 24 markers

Refer to the coordinate system shown below. Write the ordered pair that names point M.
(9,2)
(1,8)
(1,9)
(9.1)

Answers

Answer:

(1,9)

Step-by-step explanation:

For this case we must locate the point M in the coordinate system, once we visualize it we count the number of grid that are between the axis "x" and the point M, we have that there are 9 grids, then the coordinate "y" from the point M is 9. Now we count the number of grids between the "y" axis and the point M, we see that there is a grid, so the coordinate "x" of the point M is 1.

Point M: (1,9)

Answer:

Option C


What is the measure of

Answers

Answer:

I think (c) 120 is right answer.

Answer:

C. 120°

Step-by-step explanation:

Since this is an isosceles triangle [two congruent sides], m<B is also 30°. Now, we have to the m<A by using the Interior Angles Theorem [m<1 + m<2 + m<3 = 180°]. So we do this:

60 + m<A = 180; 120 = m<A

I am joyous to assist you anytime.

8. 37.5 ÷2.5 , can y'all please help me with this one and I'm Soo close to getting an 100​

Answers

Answer:

15

Step-by-step explanation:

37.5÷2.5 goes in 15 times

Answer:

37.5 ÷ 2.5 = 15

What is the area of △ABC ? Enter your answer, as a decimal, in the box. Round only your final answer to the nearest tenth. units² Triangle A B C has leg A C labeled 10 and leg B C labeled 17. Angle A C B is labeled 25.1 degrees.

Answers

Answer: [tex]36.1\ units^2[/tex]

Step-by-step explanation:

You need to use the SAS area formula. This is:

[tex]A=\frac{a*b*sin(\alpha)}{2}[/tex]

Given the triangle ABC, you know that:

[tex]a=AC=10\ units\\b=BC=17\ units\\\alpha=\angle ABC=25.1\°[/tex]

 Therefore, substituting these values into the formula, you get that the area of the triangle ABC is:

[tex]A=\frac{(10\ units)(17\ units)*sin(25.1\°)}{2}\\\\A=36.1\ units^2[/tex]

18. The table shows the amount of money in a savings account after several weeks
Week
Savings
$125
$140
$155
$170
$185
$200
a. Is the sequence arithmetic or geometric? Explain. Find the common difference or common
b. Write a recursive formula for the sequence
c. Write an explicit formula for the sequence

Answers

Answer:

a. Arithmetic

b. [tex]a_{n} = a_{n-1} + 15[/tex]

c. [tex]a_{n} = 15n + 125[/tex]

Step-by-step explanation:

A sequence is arithmetic when the difference between one term and the next is a constant. On the other hand, a sequence is geometric when the next term is found by multiplying the previous by a constant.

In this case, the next term of the sequence can be found by adding $15. Therefore, the sequence is ARITHMETIC ✔️

The recursive formula will be the following: [tex]a_{n} = a_{n-1} + 15[/tex]

The explicit formula is the following: [tex]a_{n} = 15n + 125[/tex]

Form the union for the following sets.
X = {0, 10, 100, 1000)
Y = (100, 1000)
XU Y =
00)
{0, 10)
(100, 1000)
(0, 10, 100, 1000)

Answers

[tex]X\cup Y=\{0,10,100,1000\}[/tex]

If the distance between two objects is increased, the gravitational attraction between them will: increase decrease remain the same

Answers

It decreases
The further two objects are, the gravitational attraction decreases and the closer two objects are, the gravitational attraction increases

Solve each equation. 6x^2+1=13

Answers

Answer:

The solution of given equation is x = ±√2

Step-by-step explanation:

It is given that an equation

6x² + 1 = 13

To find the solution of given equation

6x² + 1 = 13 can be written as,

⇒ 6x²  = 13 - 1

6x² = 12

x² = 12/6 = 2

x = ±√2

Therefore the solution of given equation is x = ±√2

Jordan is kayaking upstream. The following equation models his speed: f(x) = 2x2 − 4x − 9, where x is Anna's speed relative to land. What is the domain of the function? x ≥ 1 x ≤ −4 x ≥ −9 All real numbers

Answers

Answer:

All real numbers

Step-by-step explanation:

The given equation is:

[tex]f(x) = 2 {x}^{2} - 4x - 9[/tex]

where x is Ana's speed.

This is a quadratic function.

A quadratic function is a polynomial function.

All polynomial functions are are continuous and defined for all real values of x.

Therefore the domain of

[tex]f(x) = 2 {x}^{2} - 4x - 9[/tex]

is all real numbers.

Answer:

All real numbers

Step-by-step explanation:

The domain of a continuous parabola is always all real numbers or −∞ ≤ x ≤ ∞ because the ends of the parabola continue forever and when you graph this equation, you see that the ends of the parabola never stops, it continues on and on and on.

The average rate of change of g(x) between x = 4 and x = 7 is 5/6. Which statement must be true?
A. g(7)-g(4)=5/6
B. g(7-4)/7-4=5/6
C. g(7)-g(4)/7-4=5/6 D. g(7)/g(4)=5/6

Answers

Answer:

[tex]\frac{g(7)-g(4)}{7-4}=\frac{5}{6}[/tex]

So it looks like C.

Step-by-step explanation:

Average rate of a function g(x) on the interval from x=a to x=b is given by the formula:

[tex]\frac{g(b)-g(a)}{b-a}[/tex].

You can even say:

[tex]\frac{g(a)-g(b)}{a-b}[/tex].

So we have from x=4 to x=7, so the formula becomes:

[tex]\frac{g(7)-g(4)}{7-4}[/tex]

We are given this is equal to 5/6.

Answer:

Its C

Step-by-step explanation:

A store had 100 t-shirts. Each month, 30% of the t-shirts were sold and 25 new t-shirts arrived in shipments. Which recursive function best represents the number of t-shirts in the store, given that f(0) = 100?

Answers

The correct recursive function is: [tex]\[ f(n) = f(n-1) \times (1 - 0.30) + 25 \][/tex]

Let's break down the problem:

At the start, there are 100 t-shirts in the store (f(0) = 100).

Each month, 30% of the current stock is sold, and 25 new t-shirts arrive.

So, if we denote the number of t-shirts in the store at the beginning of the nth month as f(n), we can represent the recursive relationship as follows:

f(n) = f(n-1) * (1 - 0.30) + 25

This equation means that the number of t-shirts in the store at the beginning of the nth month is equal to 70% of the number of t-shirts at the beginning of the previous month (because 30% were sold), plus 25 (because 25 new t-shirts arrive).

In this function:

- [tex]\( f(n) \)[/tex] represents the number of t-shirts in the store at the beginning of the nth month.

- [tex]\( f(n-1) \)[/tex] represents the number of t-shirts in the store at the beginning of the (n-1)th month.

- [tex]\( (1 - 0.30) \)[/tex] represents 70% of the t-shirts from the previous month remaining after 30% are sold.

- [tex]\( + 25 \)[/tex] represents the 25 new t-shirts that arrive each month.

Complete question: A store had 100 t-shirts. Each month, 30% of the t-shirts were sold and 25 new t-shirts arrived in shipments. Which recursive function best represents the number of t- shirts in the store, given that f(0)=100?

a-f(n)=f(n-1) 0.3+25,n>0

b-f(n)=100-f(n-1) = ( 3.3+25 n>0

c-f(n)=f(n-1) -( 0.7+25 n>0

d-f(n)=100-f(n-1) - C 7+25 n>0

An arithmetic sequence has this recursive formula:
A1=6
An=an-1-3
What is the explicit formula for this sequence?

Answers

Answer:

A

Step-by-step explanation:

Sn=a(n-1) d

this formula for Calculating arithmetic sequence

Answer:  D. [tex]a_n=6+(n-1)(-3)[/tex]

Step-by-step explanation:

Given : An arithmetic sequence has this recursive formula:

[tex]a_1=6 \ \ \; \ a_n=a_{n-1}-3[/tex]

Using the given information, Second term of arithmetic sequence will be :-

[tex]a_2=a_{1}-3=6-3=3[/tex]

That means common difference = [tex]a_2-a_1=3-6=-3[/tex]

The explicit formula for arithmetic sequence is given by :-

[tex]a_n=a+(n-1)d[/tex], where a is the first term and d is the common difference.

Put a= 6 and d= -3, we get

The explicit formula for this sequence :-

[tex]a_n=6+(n-1)(-3)[/tex]

Is this right? Or is the answer B?

Answers

For this case we must find an expression equivalent to:

[tex]\sqrt [4] {f}[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So, rewriting the given expression we have:

[tex]f ^ {\frac {1} {4}}[/tex]

Answer:

Option 1

Answer:

f^(1/4)

Step-by-step explanation:

The fourth power of f, expressed with a rational exponent, is f^(1/4).

The PTO purchased 6 gallons of ice cream for a party if they served 2/3 cup to each student how many student will be served ice cream?

Please answer fast

Answers

Answer:

144 people

Step-by-step explanation:

1 gallon  = 4 quarts

6 gallons = 6*4 quarts

6 gallons = 24 quarts

1 quarts= 2 pts

24 quarts = 2*24 = 48 pts

1 pts = 2 cups

48 pts = 48 * 2 cups = 96 cups

We know 6 gallons = 96 cups

96 cups ÷ 2/3 cups per person =

Copy dot flip

96 * 3/2 = 144 people

Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

Answers

Answer:

Summation notation is:

[tex]\sum_{n=1}^{16}[5(x-1)-9][/tex]

If you prefer it a little more simplified:

[tex]\sum_{n=1}^{16}(5x-14)[/tex]

Step-by-step explanation:

First my favorite part, finding a pattern between the consecutive terms.

This is an arithmetic series because the terms are going up by 5 each time.

So arithmetic sequence, think linear equations:

x     |      y

1            -9

2           -4

3             1

4             6

..................

n             66

We are going to have to find that n but will will eventually...

The equation for a line in point slope form is [tex]y-y_1=m(x_x_1)[/tex] where [tex](x_1,y_1)[/tex] is a point on the line and m is the slope.

We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).

I'm going to use the first point (1,-9).

So the equation in point slope form is [tex]y-(-9)=5(x-1)[/tex]

Subtract 9 on both sides:

[tex]y=5(x-1)-9[/tex]

Now we need to know how many terms we are adding so what is x if y=66.

[tex]66=5(x-1)-9[/tex]

Add 9 on both sides:

[tex]75=5(x-1)[/tex]

Divide both sides by 5:

[tex]15=x-1[/tex]

Add 1 on both sides:

[tex]16=x[/tex]

We have 16 terms in this sequence where the 16th term is 66.

Summation notation is:

[tex]\sum_{n=1}^{16}[5(x-1)-9][/tex]

You could simplify the 5(x-1)-9.

Distribute:  5x-5-9

Add like terms:  5x-14

Answer:

Step-by-step explanation:

Box A contained 1.67 kg of flour. Box B contained 8600 g of flour. After same amount of
flour was added to each box, Box B contained 4 times as much flour as Box A. How
much flour was added to each box? Give your answer in kg.

Answers

Answer:

The amount of flour added to each box was 0.64 kg

Step-by-step explanation:

Let

x ----> the amount of flour added to each box in kg

Remember that

1 kg=1,000 g

8,600 g=8,600/1,000=8.6 kg

we know that

The linear equation that represent this situation is

(8.6+x)=4(1.67+x)

Solve for x

8.6+x=6.68+4x

4x-x=8.6-6.68

3x=1.92

x=0.64 kg

To solve this problem, we'll use algebra. Let's denote the initial amount of flour in Box A as A and in Box B as B. Also, let the amount of flour added to each box be x (in kilograms).
Given:
A = 1.67 kg
B = 8600 g, which we need to convert to kilograms. Since 1 kilogram is 1000 grams, we get:
B = 8600 / 1000 kg
B = 8.6 kg
After adding x kg of flour to each box, Box B contains 4 times as much flour as Box A. Therefore, we can set up the following equation:
B + x = 4(A + x)
Now, we plug in the values for A and B:
8.6 + x = 4(1.67 + x)
Distribute the 4 on the right side of the equation:
8.6 + x = 6.68 + 4x
Now we'll consolidate like terms:
8.6 - 6.68 = 4x - x
1.92 = 3x
To solve for x, we divide both sides by 3:
x = 1.92 / 3
x = 0.64 kg
So 0.64 kg of flour was added to each box.

x + 5 = -3^x + 4
A. X= -2.25
B. X= 3.75
C. X= -1.25
D. X= 1.25

Answers

I think it is D the answer choose

Answer:

C. X= -1.25

Step-by-step explanation:

x + 5 = -3^x + 4

We change x for  -1.25

-1.25 + 5 = -3^(-1.25) + 4

3.75=-0.25+4

3.75=3.75

Same number on both sides, therefore is correct!

I hope you find this information useful and interesting! Good luck!

If y= x-6 were changed to y= x+8, how would the graph of the new fun
compare with the first one?​

Answers

Answer:

Step-by-step explanation:

The graph of the new function would be the graph of the old one, translated 14 units to the left.

Over the last 3  evenings, Keisha received a total of 81  phone calls at the call center. The first evening, she received 6  fewer calls than the second evening. The third evening, she received 3  times as many calls as the first evening. How many phone calls did she receive each evening

Answers

Answer:

First: 15

Second: 21

Third: 45

Step-by-step explanation:

In order to create the equation we need to represent the evenings with an alebraic term, in thsi case we are going to represent the second evening with an X

Second evening:x

The first night she got 6 fewer calls than the second: Second-6=x-6

The third night she received 3 times the first: 3(first night)=3(x-6)

The equation is First Night plus second night plus third night equals 81.

[tex]First+second+third=81\\x+(x-7)+3(x-6)=81\\x+x-7+3x-18=81\\5x=81+21+6\\5x=105\\x=\frac{105}{5} \\x=21[/tex]

So the first evening he received 15 calls, the second he received 21 and the third one he received 45.

simplify : (x^-2y^-4x^3)^-2

Answers

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x^{-2}y^{-4}x^3)^{-2}\implies (x^{-2}x^3y^{-4})^{-2}\implies (x^{-2+3}y^{-4})^{-2}\implies (x^{1}y^{-4})^{-2} \\\\\\ \stackrel{\textit{distributing the exponent}~\hfill }{(x^{-2\cdot 1}y^{-2\cdot -4})\implies x^{-2}y^8}\implies \cfrac{1}{x^2}\cdot y^8\implies \cfrac{y^8}{x^2}[/tex]

What is 2/3 times 3/5 in simplest form

Answers

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] × [tex]\frac{3}{5}[/tex]

Cancel the 3 on the numerator/denominator of the fractions leaving

[tex]\frac{2}{1}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{5}[/tex]

Answer:

2 over 5

Step-by-step explanation:

Given the equation 3x + 1 = 16, solve for x

Answers

Answer:

x = 5

Step-by-step explanation:

3x + 1 = 16

Subtracting 1 on both sides of the equation,

3x + 1 – 1 = 16 – 1

Summing algebraically (in this case subtracting by having different signs) on both sides,

3x = 15

Isolating x by dividing both sides by 3

3x / 3 = 15 / 3

Dividing,

x = 5

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

We have the following expression:

[tex]3x+1=16[/tex]

and we need to solve for [tex]x[/tex], so the first thing we have to do (in order to leave the x alone on one side of the equation) is move the +1 to the left sife with the opposite sign (-1):

[tex]3x=16-1\\3x=15[/tex]

now we divide each side by 3, and we get:

[tex]\frac{3x}{3}=\frac{15}{3} \\x=5[/tex]

the answer is [tex]x=5[/tex]

Which of the following describes a similarity between the British colonies in
India and Palestine during the Cold War?
O
A. After gaining independence, leaders in both former colonies
embraced Soviet-style communism.
O
B. After gaining independence, British authorities in both former
colonies still controlled the government.
O
C. After gaining independence, territory in both former colonies was
divided due to religious conflicts.
O
D. After gaining independence, both former colonies became close
allies of the United States.

Answers

Answer:

C. After gaining independence, territory in both former colonies was divided due to religious conflicts

Step-by-step explanation:

The British had India as their colony, and Palestine as their mandate. Once the World War II ended though, the British saw that they are not in a financial position to be able to keep their colonies and mandates, so they decided to grant them independence. The independence didn't went as desired by the locals though, as both India and Palestine got partitioned because of religious reasons. India was partitioned into Hindu and Muslim part, while Palestine and Muslim and Jewish part. The situation in the Indian subcontinent quickly escalated, as well as in Palestine where the Arabs saw the formation of Israel as stealing of their land.

Answer:  C. After gaining independence, territory in both former colonies was  divided due to religious conflicts.

Find y. Thank you so much if you can answer!!!

Answers

Answer:

Y=3

Step-by-step explanation:

Sin30=y/6

y=6sin30

Y=3

If m ∥ k and m ∥ ℓ, then _____

Answers

Answer: I think it’s t II k

Step-by-step explanation:

Final answer:

If m is parallel to k and m is also parallel to ℓ, then by the transitive property of parallel lines, k must be parallel to ℓ.

Explanation:

If m ∥ k and m ∥ ℓ, then k is parallel to . In terms of geometry, when a line m is parallel to lines k and , and all the lines are coplanar, then lines k and must be parallel to each other as well. This is due to the transitive property of parallel lines which states that if two lines are parallel to the same line, they are parallel to each other. An example of this could be railway tracks: if the sleepers (the wooden blocks) are considered to be line m, which is parallel to both rails (k and ), the rails (k and ) have to be parallel to each other in order for the train to travel smoothly.

Learn more about Transitive Property of Parallel Lines here:

https://brainly.com/question/2437149

#SPJ2

Other Questions
An electron is released from rest in a uniform electric field. The electron accelerates, travelling 5.50 m in 4.00 s after it is released. What is the magnitude of the electric field in N/C? The spleen filters lymph, whereas lymph nodes filter blood.a. True b. False A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishing touches on a house they built. Working alone, Wade can paint a certain room in 5 hours. Rhonda can paint the same room in 6 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary. Ocean dumping:A)can contaminate beaches.B)is the most sanitary form of dumping.C)provides a food source for fish.D)All of these choices are correct. Read the passage from Olaudah Equianos autobiography.The closeness of the place, and the heat of the climate, added to the number in the ship, which was so crowded that each had scarcely room to turn himself, almost suffocated us. The air soon became unfit for respiration from a variety of loathsome smells, and brought on a sickness among the slaves, of which many died . . . The shrieks of the women, and the groans of the dying, rendered the whole a scene of horror almost inconceivable. What is described in the text? You are riding the bus to school and you realize it is taking longer because of all the stops you are making. The time it takes to get to school, measured in minutes, is modeled using the function g(x) = x4 3x2 + 4x 5, where x is the number of stops the bus makes. If the bus makes 2 stops after you board, how long does it take you to get to school? Braizen, Inc. produces a product with a $30 per-unit variable cost and an $80 per-unit sales price. Fixed manufacturing overhead costs are $100,000. The firm has a one-time opportunity to sell an additional 1,000 units at $60 each that would not affect its current sales. Assuming the company has sufficient capacity to produce the additional units, how would the acceptance of the special order affect net income? The projected benefit obligation (PBO) is best described as thea. Present value of benefits accrued to date based on future salary levels.b. Present value of benefits accrued to date based on current salary levels.c. Increase in retroactive benefits at the date of the amendment of the plan.d. Amount of the adjustment necessary to reflect the difference between actual and estimated actuarial returns. Some people want healthy cereal that will help them lose weight or possibly prevent certain kinds of cancer. Some want pre-sweetened cereal. Some want fruits and nuts in their cereal. Some people want whole wheat cereal while others want rice cereal. There are some who like hot cereal and others who like to eat their cereal right out of the box. The diversity of consumers for cereal is an example of ________. How did the Vietnam War affect immigration to the United States in the 1970s?-Asian immigration increased because many Vietnamese people escaped the chaos and violence after the war.-Only a few children emigrated from Vietnam because families of US service personnel faced restrictive policies.-War refugees were kept from entering the country because they were considered illegal immigrants.-Fewer Vietnamese people were interested in immigrating to the United States in the wake of the war. Isotopic dating relies on a process called _______, where heavier radioisotopes transform into lighter elements.No choices to choose from! For Cynthia's third lab report, she calculated the mass of an object as it slid down an inclined plane. She got the following three masses.1.20 kg0.91 kg1.08 kgThe true mass of the object is 1 kg.Cynthia's percent error was [blank]%.Enter your answer as the number that correctly fills in the blank, rounded to two decimal places, like this: 42.53 Which of the following is the best helping paraphrase response to the following statements? I cant stand that class! The lectures are a waste of time, and the tests are full of nitpicking questions. Im not learning anything.(A) Sounds like youre fed up with the class.(B) Sounds like youre thinking about dropping the class.(C) Sounds like the class has nit-picking tests and is a waste of time.(D) Sounds like you resent spending so much time on information you dont consider useful.(E) Sounds like youre fed up with school. Shannon purchases reams of copy paper for $1.75 and sells them for $4.25. Her business is all on the internet, so she works from home and has minimal business expenses. She pays shipping costs of $1.18 per ream. She has one other employee that she pays $1,200 per month plus a commission of 8% of sales revenue. What is Shannons unit contribution margin? How many real and complex roots exists for a polynomial? A right rectangular prism has base dimensions of 3 inches by 12 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches.If the prisms are the same height, how do their volumes compare?The volumes are equal, because the bases are congruent.The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.The volumes are not equal, because their horizontal cross-sectional areas are not the same at every level. 16. Mexican hairless dogs have little hair and few teeth. When a Mexican hairless is mated to another breed of dog, about half of the puppies are hairless. When two Mexican hairless dogs are mated to each other, about 1/3 of the surviving puppies have hair, and about 2/3 of the surviving puppies are hairless. However, about two out of eight puppies from this type of cross are born grossly deformed and do not survive. Explain this pattern of inheritance. Chester used the regression equation of the weight loss plan to make a prediction within the given data range. Complete his work to calculate the number of weekly hours of aerobic activity needed for a monthly weight loss of 3 pounds. Round to the nearest hundredth.Interpolated DataAbout hours of weekly aerobic activity will result in 3 pounds of monthly weight loss. Simplify the expression below.3 -8 + 5 - 4 2A-11.5B-21C-12.5S-27 A baboon steals an apple and runs to a nearby boulder 10.0 m to its left. The baboon reaches the boulder in 1.0s with a constant acceleration of 20.0m/s^2 leftward. What was the baboon's initial velocity when it started running to the boulder?