In right triangle PQR PR=17 RQ=15 PQ =8 What is tan P

What is the answer

Answers

Answer 1

Answer:

The value of tan P  = 1.875

Step-by-step explanation:

Given:

PR=17

RQ=15

PQ =8

To find:

tan P = ?

Solution:

In trigonometric ratio

tan = [tex]\frac{opposite}{adjacent}[/tex]

Now on substituting the given values(refer the figure)

tan (P) =[tex]\frac{15}{8}[/tex]

tan (P) = 1.875


Related Questions

Find the numerical value of sin(a)cos(a) if sin (a)-cos (a) = 0.6

Answers

The value of sin(a)cos(a) = 0.32

Step-by-step explanation:

Step 1: Given details are sin(a) - cos(a) = 0.6

Step 2: Square the given equation on both sides.

⇒ (sin(a) - cos(a))² = (0.6)²

⇒ sin²a + cos²a - 2 sin(a)cos(a) = 0.36

⇒ 1 - 2 sin(a)cos(a) = 0.36 since sin²a + cos²a=1

⇒ - 2 sin(a)cos(a) = - 0.64

⇒ 2 sin(a)cos(a) = 0.64

sin(a)cos(a) = 0.32

At every company meeting, the president speaks for 20 minutes and then takes questions from her employees. Let q represent the number of minutes she spends answering questions and t represent the total number of minutes the meeting lasts. Complete the equation that represents the relationship between q and t.t=?

Answers

Answer:

T. T = 2q

Step-by-step explanation:

20t : q

40t : 2q

You just times the values

PLEASE ANSWER QUICKLY!
The number of bagels sold daily for two bakeries is shown in the table:


Bakery A Bakery B
45 48
52 42
51 11
48 45
57 57
30 10
55 43
46 46


Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both bakeries because the data is symmetric
Mean, because the distribution is symmetric for both bakeries
Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric
Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric

Answers

Answer:

Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Step-by-step explanation:

CALCULATIONS FOR BAKERY A

Considering the data for Bakery A

45 52 51 48 57 30 55 46

Calculating Mean for Bakery A

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

Sum of terms = 45 + 52 + 51 + 48 + 57 + 30 + 55 + 46 = 384

Number of terms = 8

As

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

[tex]Mean=\frac{302}{8}[/tex]

[tex]Mean=48[/tex]

Calculating Median for Bakery A

As the median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

As the data for Bakery A is

45 52 51 48 57 30 55 46

Ordering the data from least to greatest, we get:

30   45   46   48   51  52   55   57  

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

[tex]Median=\frac{\left(48+51\right)}{2}=\frac{99}{2}=49.5[/tex]

Getting a Plot and Leaf Plot for Bakery A

Plot and leaf plot is generally a unique table-like diagram which displays the frequency distribution of a data set. Plot and leaf plot is a visual aid that supports us in recognizing frequency classes and the center of the distribution where most of the data gets clustered around.

Data for Bakery A in ascending order

30   45   46   48   51  52   55   57  

STEM                    LEAF

3                               0

4                               5   6   8

5                               1    2   5   7

CALCULATIONS FOR BAKERY B

Considering the data for Bakery B

48 42 11 45 57 10 43 46

Calculating Median for Bakery B

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

Sum of terms = 48 + 42 + 11 + 45 + 57 + 10 + 43 + 46 = 302

Number of terms = 8

[tex]Mean=\frac{302}{8}=37.75[/tex]

Calculating Median for Bakery B

[tex]Median=\frac{\left(43+45\right)}{2}=44[/tex]

Getting a Plot and Leaf Plot for Bakery B

Data for Bakery B in ascending order

10   11   42   43   45   46   48   57  

STEM                    LEAF

1                               0   1

2                              

3                              

4                              2   3   5   6   8

5                              7

So, from the above observation, we can conclude that Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Keywords: symmetric distribution, mean, media

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Answer:

Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Which quantity is proportional to 40⁄8?

Check all that are true.


A. 120⁄24


B. 10⁄5


C. 120⁄36


D. 5⁄1


E.
20⁄4

Answers

Answer:

A and D and E is the answer.

Step-by-step explanation:

Which expression represents the number 13,809 written in expanded form?
A 13+80+9
B 13,000+800+90
C9+1,300+80
B 3,000+10,000+9+800

Answers

Answer:

The answer is b or d, but most likely d.

Answer:

B. 13,809 = 3,000+10,000+9+800

Step-by-step explanation:

13,809 = 10,000 + 3000 + 800 + 9

help me ................ i don't have time​

Answers

The angle measure of m∠ACB (x°) is 39°.

Step-by-step explanation:

Let us name the joining points as ABC and ABC forms triangle with extended lines. (refer the image)

We have to find the value of m∠ACB = x°.

the given data,

m∠A=68°.

m∠B =107°.

To find m∠CAB,

Let us consider that AB is a line traversed by a line C intersecting at A. (refer diagram)

Using the theorem of corresponding angles theorem, when a line intersects another line, then the angles opposite each other is equal to each other.

m∠A=m∠CAB.

m∠CAB  =68°.

To find m∠ABC,

Let us consider AB is a line.(refer diagram)

Using the straight line proof, the total of angles in a straight line is 180°.

Thus m∠ABC+m∠B=180°.

m∠ABC+107°=180°.

m∠ABC=180°-107°.

m∠ABC=73°.

Finally we have to find the value of x° that is m∠ACB.

Using the interior angles proof,  the sum of interior angles of triangle is 180°.

⇒m∠ABC+m∠CAB+m∠ACB=180°.

73°+68°+m∠ACB=180°.

141°+m∠ACB=180°..

m∠ACB=180°-141°.

m∠ACB=39°.

Thus the angle measure of m∠ACB (x°) is 39°.

Perpendicular to 3y=x-4 and passes through the point (-2,1)

Answers

Answer:

The equation is [tex]y=-3x-5[/tex]

Step-by-step explanation:

We are given;

The equation of a line 3y = x-4 A point (-2,1)

Assuming the question requires we determine the equation of a line perpendicular to the given line and passing through the point given.

Step 1: Determine the slope of the given line

To determine the slope from an equation requires we write the equation in the form, y = mx + c, where m will be the gradient.

In this case;

[tex]3y = x - 4\\ y = \frac{1}{3}x-\frac{4}{3}[/tex]

Therefore, the slope is [tex]\frac{1}{3}[/tex]

Step 3: Determine the slope of the line in question

We know that the product of the slope of two perpendicular line is -1

That is;

m₁ × m₂=-1

Thus;

1/3 × m₂ -1

Hence; m₂ = -3

Step 3: Determine the equation of the line in question;

We have its slope, m₂ = -3

A point (-2, 1)

Taking another point (x,y)

Thus;

[tex]\frac{y-1}{x--2}=-3\\y-1 =-3(x+2)\\y-1 = -3x-6\\y=-3x-5[/tex]

Therefore, the required equation is [tex]y=-3x-5[/tex]

The equation of the line perpendicular to the line and passing through the point is y = -3x - 5

Equation of a line

Given the equation 3y = x - 4

Find the slope of the line

y = 1/3 x - 4/3

The slope of the line is 1/3 and the slope of the line perpendicular is -3

Substitute the point (-2, 1) and the slope into equation

y - y1 = m(x-x1)

y - 1 = -3(x+2)
y - 1 = -3x - 6
y = -3x - 5

Hence the equation of the line perpendicular to the line and passing through the point is y = -3x - 5

Learn more on equation of a line here; https://brainly.com/question/13763238

Ethan had $8 more than Dakota. Ethan then gave 1/4 of his money to Dakota. The ratio of money Ethan had to the money Dakota had became 5:2. How much money did Ethan five to Dakota?

Answers

Final answer:

To find how much money Ethan gave to Dakota, we need to set up and solve an equation based on the given conditions, include the initial difference of $8, the 1/4 transfer of funds, and the resulting 5:2 ratio of their money.

Explanation:

Ethan had $8 more than Dakota. When he gave 1/4 of his money to Dakota, the ratio of Ethan's money to Dakota's became 5:2. To solve this, let's assume Dakota originally had D dollars and Ethan had D + 8 dollars. After giving away 1/4 of his money to Dakota, Ethan would have 3/4 of D + 8, and Dakota would have D plus 1/4 of D + 8.

The new ratio of Ethan's money to Dakota's money is 5/2, leading us to the equation 3/4(D + 8) / (D + 1/4(D + 8)) = 5/2. Solving this equation will not only give us the initial amounts of money each person had but also allow us to calculate the exact amount Ethan gave to Dakota, which is the 1/4 of Ethan's original money.

24 miles out of 32 miles express ratio as fraction

Answers

Answer:

Step-by-step explanation:

That would be:

24 miles       3

------------- = ------ with no units of measurement

32 miles        4

The rectangular prism shown has a surface area of 488 square inches. What is the length of the prism?

Answers

Answer:

length of the prism = 244 - (width x height) / width + height)

Step-by-step explanation:

Let length be a and width be b and height be c

2 (a * b) + 2 (b* c) + 2 (a * c) = 488

2ab+ 2bc + 2ac = 488

ab + bc + ac = 244

ab + ac = 244 - ac

a (b + c) = 244-ac

a = 244-bc / b + c

Therefore the length of the prism = 244 - (width x height) / width + height)

Answer:

teh answer is 14

Step-by-step explanation:

use teh equation for surface are

A=2(lw+hl+wh)

plug in the values

488=2(6*8+6*x+x*8)

to get x=14

which is the length

THIS IS CORRECT CAUSE I HAD TO DO IT FOR CLASS AND I GOT IT RIGHT BTW. :)

Let f(x) = x2 – 3x - 7. Find f(-3).
O 11

Answers

Answer:

plug -3 as x to find f(-3)

Step-by-step explanation:

A portrait without its frame has a height 1.5 times its width w, in inches. Its frame is 2 in. wide all along its perimeter. What is an expression for the area of
the framed portrait in terms of w?
A. 1.5W2 + 5W + 4
B. 1.5w2 + 8w + 8
C. 1.5w2 + 8.5w + 16
D. 1.5w2 + 10w + 16

Answers

Answer:

The correct answer is A. 1.5w² + 5w + 4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the portrait = 1.5 times its width in inches

Frame = 2 inches all along its perimeter

2.  What is an expression for the area of  the framed portrait in terms of w?

Let's recall that the area of a rectangle is length or height * width.

A = height * width

Now, we can replace in terms of w:

A = 1.5w * w

But we need to add the 2 inches of the frame, this way:

A = (1.5w + 2) * (w + 2)

A = 1.5w² + 2w + 3w + 4

A = 1.5w² + 5w + 4

The correct answer is A. 1.5w² + 5w + 4

Final answer:

The expression for the area of the framed portrait in terms of w is 1.5w^2 + 8w + 8.

Explanation:

To find the expression for the area of the framed portrait, we need to consider the dimensions of both the portrait and the frame. Let's assume the width of the portrait is w inches. According to the given information, the height of the portrait without the frame is 1.5 times the width, so the height is 1.5w inches.

To calculate the dimensions of the framed portrait, we need to add 2 inches to the width and height for the frame. The width of the framed portrait is w + 2 inches, and the height is 1.5w + 2 inches.

The area of the framed portrait is equal to the product of its width and height. Therefore, the expression for the area, in terms of w, is (w + 2) * (1.5w + 2). When we simplify this expression, we get 1.5w2 + 8w + 8.

13 1/6- 3 4/5=
13 1/6- 3 4/5=


Answers

[tex]13\frac{1}{6}-3\frac{4}{5}=(13*6+1)/6-(3*5+4)/5=79/6-19/5=(395-114)/30=\\ \\=281/30=9\frac{11}{30}[/tex]

Hey there! Since my last answer got reported and deleted because I messed it up, here is a second answer for you!

Answer:

Exact form : 281/30

Decimal form : 9.36 (please a line over the six to represent that the six is repeating itself. It will look like this...9.3666666666...)

Mixed Number form : 9 11/30

Step-by-step explanation: Convert the mixed number to improper fractions, then find the LCD (Least Common Denomintor) and then combine.

Hope this helps you out.

Dakota bought 2 scarves and 1 hat for $13. Kristina bought 1 scarf and two hats for $14. What was the price for one hat and one scarf?

Answers

Answer:

The price for one hat was $5 and the price for one scarf was $4

Step-by-step explanation:

Let

x ----> the price for one scarf in dollars

y ----> the price for one hat in dollars

we know that

Dakota bought 2 scarves and 1 hat for $13

so

[tex]2x+y=13[/tex] ----> equation A

Kristina bought 1 scarf and two hats for $14

so

[tex]x+2y=14[/tex] ----> equation B

Solve the system by elimination

Multiply by -2 both sides equation B

[tex]-2(x+2y)=-2(14)[/tex]

[tex]-2x-4y=-28[/tex] ----> equation C

Adds equation A and equation C

[tex]2x+y=13\\-2x-4y=-28\\---------\\y-4y=13-28\\-3y=-15\\y=5[/tex]

Find the value of x

substitute the value of y in any equation

equation B

[tex]x+2(5)=14\\x=14-10\\x=4[/tex]

therefore

The price for one hat was $5 and the price for one scarf was $4

If it takes 930 kg of food to feed a pair of elephants for 3 days how much food would u need to feed them for a week?

Answers

2170

Steps:

Divide 930 by 3 to see how much food per day

Then multiply by 7 to see how much food needed for a week

Answer:

2170 kg

Step-by-step explanation:

since there are 7 days in a week first you calculate the days

930 plus 930 equals 1860 which can feed a pair of elephants for 6 days

then since in one day it takes 310 kg then add 1860 plus 310

and then you get 2170

so, you need 2170 kg of food to feed a pair of elephants in a week

1 Which set of ordered pairs does not represent a function?
1 {(1, 10), (3, 18), (5, 26), (7, 34), (9, 42)
2 {(2, 10), (3, 20), (4, 15), (5,5), (6,25)
3 {(0,8), (5,4), (10,0), (15, 4), (20,8)
4 {(9, 1), (6,2), (3, 3), (6,4), (9,5)}

Answers

Answer: it’s D

Step-by-step explanation:

I completed it

The relation set - {(9, 1), (6,2), (3, 3), (6,4), (9,5)}

does not represent the function.

What is a function?

An expression in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given are the set of ordered pairs as given in the question.

It can be clearly seen that the relation set -

{(9, 1), (6,2), (3, 3), (6,4), (9,5)}

does not represent the function as for x = 6, there are two possible values of [y] given, which is not possible.

Therefore, the relation set - {(9, 1), (6,2), (3, 3), (6,4), (9,5)}

does not represent the function.

To solve more questions on functions, visit the link below -

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The manager of an amusement park recorded the number of visitors to the park. There were 800 visitors on Saturday, and 1,100 visitors on Sunday. What is the percent change from the number of park visitors on Saturday to the number of park visitors on Sunday?

Answers

Answer: [tex]Percent\ change=37.5\%[/tex]  (It is an increase)

Step-by-step explanation:

You need to use the following formula to find the Percent change:

[tex]Percent\ change=\frac{V_2-V_1}{|V_1|}*100[/tex]

Where [tex]V_1[/tex]  is the Initial value and [tex]V_2[/tex] is the Final value.

According to the information given in the exercise, there were 800 visitors on Saturday and 1,100 visitors on Sunday. Then, you can identify that:

[tex]V_1=800\\\\V_2=1,100[/tex]

Then, knowing these values, you must substitute them into the formula:

[tex]Percent\ change=\frac{1,100-800}{|800|}*100[/tex]

Finally, you must evaluate in order to find the Percent change from the number of park visitors on Saturday to the number of park visitors on Sunday.

You get that this is:

[tex]Percent\ change=\frac{300}{|800|}*100\\\\Percent\ change=37.5\%[/tex]

Since it is positive, it is an increase.

Answer:

37.5 percent

Step-by-step explanation:

what is 15/5 as a mixed number​

Answers

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

15 divided by 5 is 3. Which means that 15/5 is 3.

Evaluate the equation: x+3=18

Answers

Answer:

x=15

Step-by-step explanation:

x+3=18

x+3-3=18-3

x+0=15

x=15

what is 2 divideed by 8

Answers

4 is 2 divided by 8 because 4*2= 8

Answer: 0.25

Step-by-step explanation:

Which pair shows equivalent expressions?
(Look at picture)

Answers

Answer:

-2x - 10 = -2(x + 5)

Step-by-step explanation:

-2x - 10 is already simplified, but in order to understand the solution, we need to simplify -2(x + 5) in order to show that it is an equivalent expression:

-2(x + 5) = -2x - 2(5)

Further simplify:

-2x - 10

This proves that -2x - 10 = -2(x + 5) is an equivalent expression.

7+ 2x divided by 5= 13

Answers

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

Given equation :

[tex]\frac{(7+2x)}{5} =13[/tex]

Making the terms of 'x' to one side and constants to the other.

                   [tex](7+2x)=13*5[/tex]

                       [tex]7+2x=65[/tex]

                            [tex]2x=65-7[/tex]

                              [tex]2x=58[/tex]

                                [tex]x=\frac{58}{2}[/tex]

                                  [tex]x=29[/tex]

So, the value of 'x' is 29.

Answer:

x = 29

Explanation:

7 + 2x / 5 = 13

Multiply both sides by 5

7 + 2x / 5 = 13 · (5) = (13) · (5)

7 + 2x = 65

Simplify both sides of the equation

2x + 7 = 65

Subtract 7 from both sides

2x + 7 − 7 = 65 − 7

2x = 58

Divide both sides by 2

2x / 2 = 58 / 2

x = 29

Find the volume of a sphere with a radius of 4 ft.

A. 33.5 ft^3
B. 67.0 ft^3
C. 267.9 ft^3
D. 803.8 ft^3

Answers

The answer is C.

The equation to find the volume:

4/3*3.14*r^3

Answer:

≈268.08 [tex]ft^{3}[/tex]

C. 267.9 [tex]ft^{3}[/tex]

Step-by-step explanation:

Equation of volume of a sphere:

V=[tex]\frac{4}{3} \pi r^{2}[/tex]

Plug in radius (r) into the equation:

V=[tex]\frac{4}{3} \pi (4)^{2}[/tex]

Solve using a calculator:

≈268.08 [tex]ft^{3}[/tex]

A car traveling on the taconic parkway travels 84 miles in two hours.

Answers

Answer:

The speed of the car is 42 mph.

Step-by-step explanation:

Speed = distance / time. 84 / 2 = 42

Trying to prepare a budget. Chester has done research and found that he spends an average of $120 on his phone/internet/cable service, $277 on his electric bill, and
$299 on his health insurance premium. If he earns $2800 per month, estimate the amount of money he will have after paying these bills each month.

Answers

Final answer:

After adding his phone/internet/cable, electric bill, and health insurance premium costs, Chester spends $696 on bills each month. With monthly earnings of $2800, he therefore should have around $2104 left over after paying these bills.

Explanation:

To figure out how much money Chester will have left after paying his bills, you first have to add up all his bills. So, he pays on average $120 for his phone/internet/cable service, $277 for his electric bill, and $299 for his health insurance premium.

To add these together: 120 + 277 + 299 = $696. This is the total amount Chester pays for his bills each month.

Now, subtract this total from Chester's monthly earnings. So, Chester earns $2800 per month, and his bills total $696. So, 2800 - 696 = $2104. Therefore, Chester will have around $2104 left each month after paying these bills.

Learn more about budgeting here:

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two numbers that multiply to -14 and add to -5

Answers

-7 and 2 which -7+2= -5 and -7•2=-14

The solution is 2 and -7.

To find two numbers that multiply to -14 and add to -5, we can set up a system of equations based on the properties of multiplication and addition of numbers with different signs.

Let x and y be the two numbers we are looking for, with the following conditions:

x * y = -14 (Multiplication condition)

x + y = -5 (Addition condition)

Using the addition rules, we know that if we have two numbers with opposite signs, the sign of the larger (absolute value) number will dictate the sign of the result. Similarly, the multiplication rules tell us that two numbers with different signs will give a product with a negative sign.

Applying these principles, we can guess that one number is positive and the other negative since their product is -14. We also know that the number with the greater absolute value must be negative since their sum is -5. We can begin by listing pairs of factors of 14 (since the product is -14) keeping the sign in mind:

1 and -14

-1 and 14

2 and -7

-2 and 7

From this list, the pair that adds up to -5 is 2 and -7. Hence, the two numbers are 2 and -7.

Are 3 (4x-2) and 12x-2 equivalent

Answers

no.............

3(4x-2) is using the distributive property, and completely distributed and simplified equals 12x-6 this is obviously not equivalent to 12x-2

Final answer:

The expression 3 (4x-2) is not equivalent to 12x-2, as it simplifies to 12x-6, not 12x-2.

Explanation:

The expression 3 (4x-2) is not equivalent to 12x-2 because when we distribute the 3 across the terms inside the parenthesis of the first expression, we get 12x-6, not 12x-2.

To show this step-by-step:

Multiply 3 by 4x to get 12x.

Multiply 3 by -2 to get -6.

Combine these to get 12x-6.

As a result, 3 (4x-2) simplifies to 12x-6, and this is not equal to 12x-2 unless we are considering a special case where x equals to a value that makes -6 equal to -2, which generally isn't the case.

The sum of two numbers is zero. When 13 times the smaller number is added to 8 times the larger, the result is 2. Find the two numbers.

Answers

Answer:

x = (2/5); y = (-2/5)

Step-by-step explanation:

x + y = 0

13x + 8y = 2

Multiply so the "x" variables are opposite with the same absolute value.

(-13) x + y = 0 (-13) ⇒ -13x - 13y = 0

(1) 13x + 8y = 2 (1)  ⇒  13x + 8y = 2

Add the two equations.

(13x - 13x) + (8y - 13y) = (2 - 0)

-5y = 2

Divide both sides by -5

y = [tex]-\frac{2}{5}[/tex]

Plug the value of "y" into either equations.

x + [tex](-\frac{2}{5})[/tex] = 0

Add [tex]\frac{2}{5}[/tex] to both sides.

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

There are 12 inches in 1 foot. The height of Rachel door is 7 feet Find the height in inches

Answers

Answer:

84 Inches

Step-by-step explanation:

so 12 inches are in 1 foot. 12 x 7+84

Answer: 84 in

Step-by-step explanation: since there are 12 inches in a foot multiple 12 by the number of feet.

Help please **attachment**

Answers

Answer:

i think the answer is c but im not sure

Step-by-step explanation:

The Correct Answer is C.
Other Questions
Sometimes the risks posed by a project are deemed unacceptably large compared to the potential benefits, and the ultimate avoidance strategy is to not perform the project at allA. TrueB. False A company has a $36 million portfolio with a beta of 1.2. The futures price for a contract on the S&P index is 900. Futures contracts on $250 times the index can be traded. What trade is necessary to achieve the following. (Indicate the number of contracts that should be traded and whether the position is long or short.)a. Eliminate all systematic risk in the portfoliob. Reduce the beta to 0.9c. Increase beta to 1.8 !!!Help ASAP!!!What characterizes a system at equilibrium?A. The system cannot undergo change.B. The system has stopped changing.C. The system is changing at an even rate.D. There is no net change to the system. How did Europeans profit from their Latin American colonies ? An example of larceny isA. Shoplifting a pair of jeansB. Letting the air out of someone's tireC. Setting fire in a school lockerD. Damaging the seats on a school bus For many purposes we can treat nitrogen as an ideal gas at temperatures above its boiling point of - 196.C. Suppose the temperature of a sample of nitrogen gas is raised from -98.0 C to -89.0 C, and at the same time the pressure is increased by 10.0%. A) Does the volume of the sample increase, decrease, or stay the same? Read the scenario.Arnold is interviewing a local restaurant owner and chef about his plans to renovate an abandonedbuilding for use as a new restaurant space. During the interview, he notices that the chef is talking alot about his previous restaurant, which was housed in a different building. Arnold is concerned theinterview is getting off topic.Which question would be most useful in helping Arnold to direct the interview back on topic?What neighborhood was your previous restaurant located in?Why did you decide to open your previous restaurant?Do you think that cooking and carpentry are similar hobbies?In what ways did the previous restaurant inspire you to take on this new project? what is the volume of a hemisphere with a radius of 2.3m round to the nearest tenth of a cubic meter Nine times a number y subtracted from 95 equals 37 Which equation best shows that 55 is a multiple of 11? Choose 1 answer: (Choice A) A 55 = 44 + 1155=44+1155, equals, 44, plus, 11 (Choice B) B 11\times5=55115=5511, times, 5, equals, 55 (Choice C) C 11\div55 = 51155=511, divided by, 55, equals, 5 (Choice D) D 55 - 11 = 445511=44 You look for shells when you visit the beach. However, if you're hiking in the mountains and you find shells by accident, you know that Here's Mia's profit for the month. Decide how much Mia should put into her savings account. A bookcase has two shelves. The top shelf has 10 more than 1/3 the number of books on the bottom shelf. There are 12 books on the bottom shelf. How many books are on the top shelf?a.4b.14c.40d.46Show your work below!!! Which sentence contains a dependent clause?A.Would you like to see the Washington Monument or the White House?B.For spring break, my family will visit Washington, D.C., which is the capital of the United States.C.The cherry blossom trees in Washington, D.C. are beautiful, so people like to have picnics in the park.D.The Lincoln Memorial was built in 1922, and its one of the most popular monuments in Washington, D.C. what is the inequality for 5(x+3)8 ____________ was a famous Japanese painter, known for his virtuosity in landscape images. In his painting White Clouds over Xiao and Xiang, artist ____________ was inspired by an earlier, similar 14th century work. After procrastinating for months, Pablo Picasso finished Guernica for the 1937 World's Fair. Known for breaking down boundaries between artistic mediums, ____________ had close working relationships with composer John Cage and choreographer Merce Cunningham. In detail, explain how the texture of a rock surface affects how fast it physically weathers by water. A shallow slope on a phase-change graph indicates _____.A. a little temperature increase for a lot of heatB. a phase changeC. a large change in kinetic energy of the moleculesD. a high latent heat A dock worker applies a constant horizontal force of 80.5 N to a block of ice on a smooth horizontal floor. The frictional force is negligible.The block starts from rest and moves a distance 13.0 m in a time 4.50 s.(a)What is the mass of the block of ice?----- I found this to be 56.9kg and got it right.(b)If the worker stops pushing at the end of 4.50 s, how far does the block move in the next 4.20s ? - In a study of environmental lead exposure and IQ, the data was collected from 148 children in Boston, Massachusetts. Their IQ scores at age of 10 approximately follow a normal distribution with mean of 115.9 and standard deviation of 14.2. Suppose one child had an IQ of 74. The researchers would like to know whether an IQ of 74 is an outlier or not. Calculate the lower fence for the IQ data, which is the lower limit value that the IQ score can be without being considered an outlier. Keep a precision level of two decimal places for the lower fence.