what is the value of 3 3/8+1/2 ÷ 4/5 × 2​

Answers

Answer 1

Answer:

ans: 37/ 32

Step-by-step explanation:

(33/8 + 1/2 ) / ( 4/5 ×2)

= { ( 33 + 4) / 8} / ( 8 / 2)

= 37/ (4×8)

= 37 / 32


Related Questions

Benecio skis 748 yd in 3 min. At this rate, how many miles does Benecio ski in an
hour in miles?

Answers

Answer:

8.5 miles an hour.

Step-by-step explanation:

There are many ways to do this, but I am going to do it the way I think is the most simple.

First, divide 748 yards by 3 minutes to get the amount of yards per minute. 748 / 3 = 249.33333

Second, divide the previously gotten number (249.33333, [3's go on forever]) by the amount of yards in a mile (which is 1760 yards per mile). This turns into 249.33333 / 1760 = 0.1416666 (6's go on forever). This is miles per minute so you must make it per hour.

You then multiply that infinite number by the amount of minutes in an hour (60 minutes per hour). 0.14166666 * 60 = 8.5 miles per hour.

differentiate loge(x/x^2+7)​

Answers

Answer:

1+1=11 2+2=22 ok na yan kuya or ate

Identify the solutions to the quadratic equation.
Check all that apply.
x2 + 3x-28 = 0
D A. X=4
B. X= 3
O C. x= -5
O D. X = 28
O E. x= -7

Answers

Answer:

A and E

Step-by-step explanation:

x²+3x-28=0

x²+7x-4x-28=0

x(x+7)-4(x+7)=0

(x-4)(x+7)=0

x=4, x= -7

Please give brainliest if it helps

Triangle A B C is cut by line segment D E. Line segment D E goes from side A C to line A B. The length of A E is 12, the length of E B is 4, and the length of A D is 9. What is the length of Line segment D C? 2 units 3 units 6 units

Answers

Answer:

3 units

Step-by-step explanation:

Enlarge the triangle by scale factor -1/3 with centre (-1,2)

PLEASE CAN SOMEONE HELP?????????????/

Answers

The coordinates of the image after a dilation by scale factor -1/3 with center (-1, 2) are (0, 2), (0, 4), and (-1, 4).

What is dilation?

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of -1/3 centered at the point (-1, 2) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate A, we have;

Coordinate A = (-4, 2)  →  (-1/3(-4 - (-1)) + (-1), -1/3(2 - 2) + 2)

Coordinate A = (-4, 2)  →  (-1/3(-4 + 1) - 1, -1/3(2 - 2) + 2)

Coordinate A' = (1, 1)  →  (0, 2)

For coordinate B, we have;

Coordinate B = (-4, -4)  →  (-1/3(-4 - (-1)) + (-1), -1/3(-4 - 2) + 2)

Coordinate B = (-4, -4)  →  (-1/3(-4 + 1) - 1, -1/3(-4 - 2) + 2)

Coordinate B' = (1, 1)  →  (0, 4)

For coordinate C, we have;

Coordinate C = (-1, -4)  →  (-1/3(-1 - (-1)) + (-1), -1/3(-4 - 2) + 2)

Coordinate C = (-1, -4)  →  (-1/3(-1 + 1) - 1, -1/3(-4 - 2) + 2)

Coordinate C' = (1, 1)  →  (-1, 4).

Read more on dilation here: brainly.com/question/20482938

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factor the polynomial by grouping
[tex]5 {x}^{2} - 11x + 6[/tex]

Answers

(x-1)(5x-6)

Factor

11
-
11
out of

11
x
-
11
x
.
5
x
2

11
(
x
)
+
6
5
x
2
-
11
(
x
)
+
6
Rewrite

11
-
11
as

5
-
5
plus

6
-
6
5
x
2
+
(

5

6
)
x
+
6
5
x
2
+
(
-
5
-
6
)
x
+
6
Apply the distributive property.
5
x
2

5
x

6
x
+
6
The answer is (x-1) (5x-6) don’t get confuse on the first answer thank me later.

112x/5= 43.60 solve for x

Answers

Answer:

x=109/56

dn did djs. hd hd hd hd hd hd

What is the smallest number you should subtract from 456 to make it divisible by 9?

Answers

Add up all the digits

4+5+6=15

The sum of the digits must be equal to 9 so,


15=9

15–9=0

So,it is equal to 6.If we subtract 6 from 456 i.e.,

=456–6

=450

Which is divisible by 9 so,the answer is 6.But if we subtract any digit less than 6 it will not be divisible by 9.






5 is subtracted from the sum of 8 and 7.​

Answers

Answer:

10

Step-by-step explanation:

Sum of 8 and 7 = 8 + 7 = 15

5 subtracted from sum of  8 and 7 = 15 - 5 = 10

The answer to this question = 10

What do you mean by a sum?

The sum is the result of the addition of two or more numbers.

What do you mean by subtraction?

The difference between the two numbers is called subtraction.

How do we evaluate the given question?

First, we find the sum of 8 and 7

8 + 7 = 15

Now, we subtract 5 from 15

15 - 5 = 10

∴ The result to the given question = 10

Learn more about the Addition/Subtraction at

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Write Ratio 2:12 in the form 1:n

Answers

1:6

Hope this helps! :)

______________

Answer:

n value is 6

2:12=1:6

n is 6

HELP ME WITH THIS GEOMETRY QUESTION!!! 18 POINTS!

Answers

Answer:

72

72

96

120

Step-by-step explanation:

The arcs are in the ratio:

3 : 3 : 4 : 5

Add all numbers in the ratio:

3 + 3 + 4 + 5 = 15

In the ratio, the sum of all numbers is 15.

In the real circle, the sum of the measures of all the arcs is 360.

360/15 = 24

Multiply all numbers in the ratio by 24.

72 : 72 : 96 : 120

Answer:

72

72

96

120

PLEASE HELPPPPpdododp

Answers

Answer:

f(x) - g(x) = x^3 - 3x^2 - 4x - 4

Step-by-step explanation:

f(x) - g(x)

x^3 - 2x^2 - 3x - 5 - ( x^2 + x - 1 )

x^3 - 2x^2 - 3x - 5 - x^2 - x + 1

x^3 - 3x^2 - 4x - 4

Find the value of y and show work

Answers

Answer:

75

Step-by-step explanation:

∠K and ∠ R are congruent (equal)

Triangle Sum Theory - angles of all triangles add to 180

180 - 79 - 26 = 75

What is the volume of a cone that has a radius of 11.2 cm and a height of 25.3 cm?
Your Answer:
Sim​

Answers

Step-by-step explanation:

V≈3323.42cm³

r Radius

11.2

cm

h Height

25.3

cm

Solution

V=πr2h

3=π·11.22·25.3

3≈3323.41966cm³

hope it is helpful

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals

Answers

Answer:

One leg: 3

So, the hypo: 2*3 = 6

And the third is according to the formula for right angle triangles: a^2 + b^ = c^2

So: √9+36= c

6.7 to get an exact number round it: 7

Answer:

sides are √3 ft,2√3 ft,3 ft

Step-by-step explanation:

let one leg=x

length of hypotenuse=2x

third side=3 ft

(2x)²=x²+3²

4x²-x²=9

3x²=9

x²=9/3=3

x=√3 ft

hypotenuse=2√3 ft

What is the area of a triangle in square units with the points (-3,-4), (8,-4), (-1,4)

Answers

Step-by-step explanation:

base = 11

height = 8

so are is 11 x 8 /2

= 44

Help find instantaneous rate of change :)!

Answers

Answer:  0

=========================================================

Explanation:

Let's say that point A is at (0,0) and B is somewhere else on the parabola.

I'll make point B go to the right of point A.

For now, let's say B is at (4,16).

If we compute the slope of line AB, then we find the average rate of change (AROC). The AROC in this case is (y2-y1)/(x2-x1) = (16-0)/(4-0) = 16/4 = 4. Because point A is at (0,0), we're really just computing y/x where the x,y values come directly from point B.

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

Now let's move B to (3,9). If we used the slope formula again, we would get the slope of 3. Note how y/x = 9/3 = 3.

Then let's move B to (2,4). The AROC is now y/x = 4/2 = 2

As B gets closer to A, the AROC is decreasing. The AROC is slowly approaching the IROC (instantaneous rate of change).

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

Point B is generally located at (x,x^2) for any real number x. Keeping A always fixed at the origin, the slope of line AB is y/x = (x^2)/x = x.

What does this all mean? It means that if x = 0, then the IROC is 0. You might be quick to notice that we cannot divide by zero. So instead of letting x be zero itself, we'll just get closer and closer to it. This is where the concept of limits come into use. This is what calculus is based on (both integral and differential calculus).

Anyway, when calculating the IROC, we're really calculating the slope of the tangent line to the f(x) curve. Refer to the diagram below.

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

In short, the slope of the tangent line at x = 0 is m = 0. We have a flat horizontal line that touches the parabola at (0,0).

You are working as an office apprentice for the bksb Newcastle Arena. You are helping collect a customer satisfaction survey for the arena. Enter the following replies into the table below.

Answers

Answer:

Step-by-step explanation:

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width.4x+y^2=12, x=yThen find the area S of the region.

Answers

Answer:

The Area of the Enclosed Region Is 64/3.

Step-by-step explanation:

As Given in Question

We have, Curve 4x+[tex]Y^{2}[/tex]=12

& X=Y

Solution.

4Y+[tex]Y^{2}[/tex]=12   (X=Y)

[tex]Y^{2}[/tex]+4Y-12=0

[tex]Y^{2}[/tex]+6Y-2Y-12=0

Y(Y+6)-2(Y+6)=0

(Y-2)*(Y+6)=0

Y=2 & -6  (X=Y)

Now at (2,2) & (-6,-6) both curves intersect each other.

The Area Of Enclosed Region is    [tex]\int\limits^2_{-6} [(3-Y^{2}/4 )-Y] \, dy[/tex]

by Solving This Equation we get Area of Region = 64/3 .    

this equation Solution & Curve Diagram please see In Attachment .  

Prove the following statement by contradiction.
If a and b are rational numbers, b ≠ 0, and r is an irrational number, then a + br is irrational.
Proof by contradiction: Select an appropriate statement to start the proof.
A. Suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational.
B. Suppose not. That is, suppose there exist rational numbers a and b such that b ≠ 0, r is an irrational number, and a + br is irrational.
C. Suppose not. That is, suppose there exist rational numbers a and b such that b ≠ 0, r is an irrational number, and a + br is rational.
D. Suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is an irrational number, and a + br is rational.
E. Suppose not. That is, suppose there exist rational numbers a and b such that b ≠ 0, r is a rational number, and a + br is irrational.
Then by definition of rational,
a = c/d, b = i/j , and a + br = m/n
where c, d, i, j, m, and n are___and____. Since b ≠ 0, we also have that i ≠ 0. By substitution,
c/d + i/j r = m/n
Solving this equation for r and representing the result as a single quotient in terms of c, d, i, j, m, and n gives that
r = c - a/b

Answers

Answer:

spongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

The step would be, "Suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational." Option A is correct.

Given that,
a and b are rational numbers, b ≠ 0, and r is an irrational number, then a + br is irrational. the first step of the proof with contradiction is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
For the statement,

a and b are rational numbers, b ≠ 0, and r is an irrational number, then a + br is irrational.

Contradiction will be "suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational."

Thus, the step would suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational.

Learn more about simplification here:

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Joe drives for 3 hours and covers 201 miles. In miles per hour, how fast was he driving?​

Answers

Answer:

67 mph

Step-by-step explanation:

201/3 = 67

Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30 times and got heads 18 times. Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50%. Which answer choice shows the correct null and alternative hypotheses for this test?

Answers

Answer:

H0 : p = 0.5

H1 : p ≠ 0.5

Two tailed test

Step-by-step explanation:

The test if the true proportion of heads is different from 50%; this means the initial truth, that is the true proportion is 50% ; which is the null ;

H0 : p = 0.5

The researcher intends to test if the true proportion is not 50% ; that is the researcher is n spwcudfic about if the proportion is lower or higher, he just wants to test that the proportion is different, hence the test could go either way ;

Alternative hypothesis ;

H1 : p ≠ 0.5

Since the sign in the alternative hypothesis could be in either direction, then we have a two tailed test

Help me pleaseeeeeeeee

Answers

The answer is (((((A ))))))

During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 30%, CBS 27%, NBC 26%, and independents 17%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 96 homes, CBS 69 homes, NBC 90 homes, and independents 45 homes.Test with α = 0.05 to determine whether the viewing audience proportions changed.State the null and alternative hypotheses.H0: pABC ≠ 0.30, pCBS ≠ 0.27, pNBC ≠ 0.26, pIND ≠ 0.17Ha: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17 H0: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17Ha: pABC ≠ 0.30, pCBS ≠ 0.27, pNBC ≠ 0.26, pIND ≠ 0.17 H0: The proportions are not pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17.Ha: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17 H0: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17Ha: The proportions are not pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17.Find the value of the test statistic. (Round your answer to three decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.Reject H0. There has been a significant change in the viewing audience proportions. Reject H0. There has not been a significant
change in the viewing audience proportions. Do not reject H0. There has been a significant change in the viewing audience proportions. Do not reject H0. There has not been a significant change in the viewing audience proportions.

Answers

Part 1: Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

Part 2:

H0:  

Ha:  

Part 3: The test statistic is given as 3.0081.

Part 4: The p-value is given as  0.39037

Step-by-step explanation:

As per the data

Part 2

H0:  

Ha:  

Part 3

As per the sample is of 300 homes, the expected values are given as

ABC=p(ABC)*300=0.30*300=90

CBS=p(CBS)*300=0.27*300=81

NBC=p(NBC)*300=0.26*300=78

IND=p(IND)*300=0.17*300=51

Now the values actually are given as

ABC=94

CBS=71

NBC=88

IND=47

So the test static is given as

So the test statistic is given as 3.0081.

Part 4

Now the degree of freedoms are given as 4-1=3

and chi square  is given as 3.0081 so for α = 0.05 , the p-value is given as  0.39037

Part 1.

As the value of p in part 4 is greater than the value of α = 0.05, thus Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

What is the domain of the function y=3 sqrt x?

Answers

Answer:

Step-by-step explanation:

y=3√x

domain : all real values≥0

Can someone help me please

Answers

Answer:0.02

Step-by-step explanation:

`show that the normal to the parabola y²=8x at (2 4)meets the parabola again in(18, -12)`​

Answers

Answer:

See Below.

Step-by-step explanation:

We want to show that the normal line to the parabola:

[tex]y^2=8x[/tex]

At the point (2, 4) meets the parabola again at (18, -12).

First, find the tangent line to the parabola at the point (2, 4). We can take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\left[ y^2\right]=\frac{d}{dx}\left[8x\right][/tex]

Implicit differentiation:

[tex]\displaystyle 2y\frac{dy}{dx}=8[/tex]

Therefore:

[tex]\displaystyle \frac{dy}{dx}=\frac{8}{2y}=\frac{4}{y}[/tex]

Then the slope of the tangent line to the point (2, 4) is:

[tex]\displaystyle \frac{dy}{dx}\Big|_{y=4}=\frac{4}{(4)}=1[/tex]

Thus, the slope of the normal line is -1.

And since it passes through the point (2, 4), by the point-slope form:

[tex]y-(4)=-1(x-2)[/tex]

Simplify:

[tex]y=-(x-2)+4[/tex]

By letting x = 18:

[tex]y=-(18-2)+4=-16+4=-12[/tex]

So, the normal line indeed passes through (18, -12).

Answer:

answer is in the picture.

What is the value of x in this number sentence
[tex]\frac{x}{7} - 4 = 6[/tex]

Answers

x/7= 10

x=10(7)
x=70
Hope this helps!

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex] \frac{x}{7} - 4 = 6 \\ \frac{x}{7} = 6 + 4 \\ \frac{x}{7} = 10 \\ x = 10 \times 7 \\ x = 70[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

RainbowSalt2²2²

If you horizontally stretch the linear parent function, f(x) = x, by a factor of 3,
what is the equation of the new function?
A. g(x) = x - 3
B. g(x) = 3x
O C. g(x) = 3 - x
D. g(x) = 3 *
SUBMIT

Answers

Answer:

The equation of the new function is [tex]g(x) = \frac{x}{3}[/tex]

Step-by-step explanation:

Horizontally stretching a function:

Horizontally stretching a function f(x), by a factor of a, means that:

[tex]g(x) = f(\frac{x}{a})[/tex]

In this question:

[tex]f(x) = x[/tex], horizontally stretched by a factor of 3, so [tex]a = 3[/tex], and:

[tex]g(x) = f(\frac{x}{3}) = \frac{x}{3}[/tex]

The equation of the new function is [tex]g(x) = \frac{x}{3}[/tex]

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.

Compare the rules of two games:

Game A: Two six-sided dice are thrown.The numbers on the dice determine which player gets a point.Player 1 gets a point if the product of the numbers on the dice is even.Player 2 gets a point if the product is odd.

Game B: Two six - sided dice are thrown.The numbers on the dice determine which player gets a point.Player 1 gets a point if the sum of the numbers on the dice is even.Player 2 gets a point if the sum is odd.

Which statement accurately describes whether these games are fair?

A: Both Game A and Game B are fair.

B: Game A is not fair,and Game B is fair.

C: Neither Game A nor Game B is fair.

D: Game A is fair,and Game B is not fair.


Answers

Answer: Choice B

Game A is not fair, and game B is fair.

==============================================================

We'll start with game A.

The sides of the dice are {1,2,3,4,5,6}

There are 6*6 = 36 ways to roll two dice.

If we roll two odd numbers, say 3 and 5, the product is odd because 3*5 = 15.

If any of the numbers are even, then the product is even. Eg: 4*5 = 20 or 2*6 = 12.

To be an even number, 2 must be a factor.

So you can probably see that it's more likely to get an even number product considering that in order to get an odd product, both values must be odd (which narrows the selection pool). We can say that game A is not fair. It favors player 1 more. If you're sure about this, then I recommend looking at a multiplication table but only focus on the first 6 rows and 6 columns. Ignore the row and column that has 0s in it.

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

Now onto game B

The rules are nearly the same, except now instead of multiplying the dice values, we add them up.

We still have 6*6 = 36 outcomes.

Here are some handy rules we'll take into account

even+even = eveneven+odd = oddodd+odd = even

If the first dice rolls to '1', then there are 3 ways to get an even number (rolling either 1,3,or 5 on the second dice) and there are 3 ways to get an odd number (rolling either 2,4,or 6 on the second dice). We can see that there are the same number of ways to get an even sum or an odd sum. Apply this in general to any result that the first dice shows, and this basically leads to the conclusion that half of the 36 sums are even, and the other half are odd. We have a fair game now. Refer to a sum of dice chart if you need more convincing.

Answer:

Game A is not fair, and game B is fair.

Step-by-step explanation:

test on iready

Other Questions
1. The characters in the play have depth. Audiences learn their strengths and dreams, their weaknesses, and fears. Choose Tom or Amanda as the focus of your response. Is Amanda a good mother in the play, or is she the "witch" that Tom calls her in anger? OR Is Tom a goodson in the play, or is he, like his father, a faithless man? How do these characters' different definitions of happiness cause them to clash? Include at least 2 quotes from the play. answer the question in the picture A. IDENTIFICATION. Read the statements below carefully. Identify what is asked. Choose your answer from the words inside the box. Accuracy Source Facts Biased Reliable Truth Author Taking Notes Quotation Errors of Logic Presentation 1. Words or statements used that are taken from the original source. 2. It is the origin of the facts or information presented in the material viewed. 3. The reality behind facts. 4. It is the occurrence of assumptions and opinions to some information. 5. It is the available data. 6. The speaker or the subject that has expertise of the available data. 7. This means not only getting the objectively verifiable 'fact' right but accurately reporting opinions expressed by those who you report. 8. If this is without fallacies and errors the material is considered truthful and accurate. 9. A material viewed that presents on side of the information or with personal opinion is considered 10. A good source of information is truthful and accurate if the facts are also present in other sources. B. MULTIPLE CHOICE. Write the letter of the correct answer. 11. Which is NOT a purpose of listening? if 2000 is placed into a bank account that pays 3% interest compound into how much will be in the account after 2 years? The following standards have been established for a raw material used to make product O84: Standard quantity of the material per unit of output 8.6 meters Standard price of the material $ 19.80 per meter The following data pertain to a recent month's operations: Actual material purchased 4,900 meters Actual cost of material purchased $ 101,430 Actual material used in production 4,600 meters Actual output 650 units of product O84 The direct materials purchases variance is computed when the materials are purchased. Required: PLS HELP! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER! PLS PROVIDE A STEP BY STEP EXPLANATION! The church at Philadelphia was alive.TrueFalse 40 in 2000 US Caucasian newborns have Tay Sachs Disease. T for normal is dominant over t for Tay sachs Disease. a.) What percent of the above population have Tay Sachs Disease (tt or q2)? b.) Calculate the allelic frequencies of p and q for this example c.) Now, calculate the genotypic frequencies for the population Two particles, with identical positive charges and a separation of 2.65 10-2 m, are released from rest. Immediately after the release, particle 1 has an acceleration 1 whose magnitude is 5.00 103 m/s2, while particle 2 has an acceleration 2 whose magnitude is 7.70 103 m/s2. Particle 1 has a mass of 6.20 10-6 kg. (a) Find the charge on each particle. q1 = C q2 = C (b) Find the mass of particle 2. kg need help with this asap! PRIMARY SOURCEA You went down one step even from the foul area into the cellar in which a family of human beings lived. It was very dark inside. The window-panes many of them were broken and stuffed with rags....the smell was so fetid [foul] as almost to knock the two men down.... and to see three or four little children rolling on the damp, nay wet brick floor, through which the stagnant, filthy moisture of the street oozed up. .they began to penetrate the thick darkness of the place, ELIZABETH GASKELL, Mary Barton The probability that a student takes calculus or is on scholarship is 0.85. The probability that a student is on scholarship is 0.61 and the probability that a student is taking calculus is 0.31. If a student is randomly chosen, find the probability that the student is taking calculus and is on scholarship. Is the following shape a square? How do you know? A. Yes, the opposite sides are parallel, and all sides are the same length. B. No, because opposite sides are not parallel. C. There is not enough information to determine. D. No, because the sides are not congruent. The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 97. Find x. During the current year, Rothchild, Inc., purchased two assets that are described as follows:Heavy EquipmentPurchase price, $275,000.Expected to be used for 10 years, with a residual value at the end of that time of $50,000.Expenditures required to recondition the equipment and prepare it for use, $75,000.PatentPurchase price, $75,000.Expected to be used for five years, with no value at the end of that time.Rothchild depreciates heavy equipment by the declining-balance method at 150 percent of the straight-line rate. It amortizes intangible assets by the straight-line method. At the end of two years, because of changes in Rothchild's core business, it sold the patent to a competitor for $35,000.a. Compute the amount of depreciation expense on the heavy equipment for each of the first three years of the asset's life.(Omit the "$" sign in your response.)Year 1 Year 2 Year 3Depreciation expense $ $ $b. Compute the amount of amortization on the patent for each of the two years it was owned by Rothchild.(Omit the "$" sign in your response.)Year 1 Year 2Amount of amortization $ $c-1. Prepare the plant and intangible assets section of Rothchild's balance sheet at the end of the first and second years.(Amounts to be deducted should be indicated with a minus sign. Omit the "$" sign in your response.)Year 1Accumulated amortization Equipment Accumulated depreciation Purchase price Patent $ Equipment Patent Less: Accumulated depreciation Accumulated amortization Add: Accumulated depreciation $Equipment Patent Accumulated amortization Purchase price Accumulated depreciation Total plant and intangible assets $Year 2Accumulated depreciation Accumulated amortization Equipment Purchase price Patent $Accumulated amortization Patent Add: Accumulated depreciation Equipment Less: Accumulated depreciation Total plant assets $c-2. Calculate the amount of the gain or loss on the patent that would be included in the second year's income statement.(Input the amount as positive values. Omit the "$" sign in your response.)Gain Losson sale by $ 2 divide by 7/6pls help Which was a means the federal government used to safeguard blacks' civil rights during congressional Reconstruction? The three parts of quality assurance are determining use objectives, setting specifications, and assessment of results. Classify the actions taken during quality assurance by the part of quality assurance in which they should be taken.a. Document procedures and keep suitable records. b. Use quality control samples to monitor performance. c. Compare data and results with specifications. d. Consider the accuracy and precision needed. e. Determine the sampling requirements. f. Follow standard operating procedures. What is the volume of sphere with radius 13 ft? C. Directions: Complete the table ( Area of a Circle). Radius Diameter Area 16. _____ 7.5cm _______ 17. 10cm _______ _______18. 21cm ________ _______pasagot po plss bukas na po pasahan ko