Jason can peel 15 potatoes in 25 minutes. Janette can peel 8 potatoes in 1/10 hour. If they start peeling at the same time how many
minutes will it take them to peel 406 potatoes?

Answers

Answer 1

9514 1404 393

Answer:

  210 minutes

Step-by-step explanation:

Jason's rate of peeling is ...

  (15 potatoes)/(25 minutes) = 15/25 potatoes/minute = 3/5 potatoes/minute

Janette's rate of peeing potatoes is ...

  (8 potatoes)/(6 minutes) = 4/3 potatoes/minute

Their combined rate is ...

  (3/5 +4/3) = (9 +20)/15 = 29/15 . . . . potatotes/minute

Then the time required for 406 potatoes is ...

  (406 potatoes)/(29/15 potatoes/minute) = (406×15/29) minutes

  = 210 minutes


Related Questions

what is twice the amount of 86

Answers

Answer:

172

Step-by-step explanation:

[tex]86[/tex] × 2 = 172

172, if you take 86 and multiply it by 2 it will give you 172. Basically do this-

What is the correct answer and how can this be solved?

Answers

Answer:

A. 0,2,0,2

Step-by-step explanation:

Firstly, Insert 1-4 into [tex]u^n=1+(-1)^n[/tex]

[tex]u^1=1+(-1)^1\\1+(-1)1=0\\\\\\\\u^2=1+(-1)^2\\\\1+1=2\\\\\\u^3=1+(-1)^3\\\\1+(-1)^3=0\\\\\\\\u^4=1+(-1)^4\\\\1+(-1)^4=2\\[/tex]

Simple explanation, for the first number.

-1+1=0

For the second number we are saying, -1*-1=1

and then 1+1=2

For the third number we are saying, -1*-1*-1=-1

-1+1=0

For the fourth number we are saying, -1*-1*-1*-1=1

1+1=2

Volume 1 (3)3 = 367
SSCE/JME-TYPE OF
2
The area of an equilateral triangle of side 8 cm is
A. 16V3 cm? B. 32/3 cm
B.
48 cm
cm?
D.
36V3 cm
A
parallelogram
of area 425 cmhas a height o​

Answers

Answer:

[tex]A.\ 16\sqrt3\ cm^2[/tex] is the correct answer.

Step-by-step explanation:

Given that:

Side of an equilateral triangle = 8 cm

To find:

Area of the triangle will be:

[tex]A.\ 16\sqrt3\ cm^2[/tex]

[tex]B.\ \dfrac{32}{3} cm^2[/tex]

[tex]C.\ 48\ cm^2[/tex]

[tex]D.\ 36\sqrt3\ cm^2[/tex]

Solution:

First of all, let us have a look at the formula for area of an equilateral triangle:

[tex]A =\dfrac{\sqrt3}{4}a^2[/tex]

Where [tex]a[/tex] is the side of equilateral triangle and an equilateral triangle is a closed 3 sided structure in 2 dimensions which has all 3 sides equal to each other.

Here, we are given that side, [tex]a=8\ cm[/tex]

Putting the value in formula:

[tex]A =\dfrac{\sqrt3}{4}\times 8^2\\\Rightarrow A =\dfrac{\sqrt3}{4}\times 64\\\Rightarrow A =\sqrt3\times 16\\OR\\\Rightarrow \bold{A =16\sqrt3\ cm^2}[/tex]

Hence, [tex]A.\ 16\sqrt3\ cm^2[/tex] is the correct answer.

4 Which object has the shape of a
rectangular prism?
O pencil
O book
O scissors

Answers

The answer is a Book.

This is because a book is a 3D object in the shape of a rectangular prism.

A rectangular prism is a 3D object which has six faces that are rectangles.

Hope this helps and please mark brainliest!

From the observation deck of a skyscraper, Isabella measures a 67
angle of depression to a ship in the harbor below. If the observation deck is 824 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Answers

The horizontal distance from the base of the skyscraper out to the ship is 349.8feet

Angle of elevation and depression

The angle situated above the hill is known as  the angle of depression

Given the following parameters

Height of the harbor = 824 feet

Angle of depression = 67degrees

According to SOH CAH TOA identity:

tan 67 = opp/adj
tan 67 = 824/d

d = 824/tan67
d = 349.8 feet

Hence the horizontal distance from the base of the skyscraper out to the ship is 349.8feet

Learn more on angle of depression here: https://brainly.com/question/12483071

Suppose that you borrow $1000.00 from a friend and promise to pay back $1390.00 in 2 years. What simple interest rate will you pay?
The simple interest rate is % (Round to the nearest tenth as needed.)

Answers

Answer:

19.5%

Step-by-step explanation:

Use the formula I = prt, where I is the interest money, p is the starting amount of money, r is the interest rate, and t is the time that the money was borrowed.

Plug in the values and solve for r:

390 = (1000)(r)(2)

390 = 2000r

0.195 = r

r = 19.5%

Answer:

19.5%

Step-by-step explanation:

Simple Interest = Principal x Time x Rate in % / 100

SI = 1000 x 2 x a / 100

=> SI = 10 x 2 x a

=> SI = 20a

Total Amount = SI + Principal

=> 1390 = 20a + 1000

=> 1390 - 1000 = 20a +1000 - 1000

=> 390 = 20a

=> 390/20 = 20a/20

=> 19.5 = a

Let's recheck

=> 1000 x 2 x 19.5 /100

=> 10 x 2 x 19.5

=> 195 x 2

=> 390

1390 = 390 + 1000

=> 1390 = 1390

So, the interest rate is 19.5 %

1. What is the difference between an exponential growth and exponential decay? 2. What is an example equation for expoential growth and an example equation for exponential decay?

Answers

Answer: see below

Step-by-step explanation:

The standard form of an exponential equation is: y = a(b)ˣ    where

a is the initial valueb is the rate

Growth:

Exponential growth is where the final value (y) is greater than the initial value (a).

An example would be the spreading of a rumor:  

You tell 1 person (a = 1) who then tells 2 people each minute (b = 2).  How many people will they have spread the rumor to after 5 minutes (x = 5)?

y = 1(2)⁵

  = 32

Decay:

Exponential decay is where the final value (y) is less than the initial value (a).

An example would be the decrease of bacteria in a person:

A person has 100 bacteria (a = 1) who takes a pill that is supposed to cut in half the number of bacteria each hour (b = 1/2).  How many bacteria will the person have after 2 hours (x = 2)?

[tex]y=100\bigg(\dfrac{1}{2}\bigg)^2\\\\\\.\quad =100\bigg(\dfrac{1}{4}\bigg)\\\\\\.\quad = 25[/tex]

Without using technology, describe the end behavior of f(x) = −3x4 + 7x2 − 12x + 13.

Answers

Answer:

11 over 13

Step-by-step explanation:

first, you deal with multiplication;

x = -12 + 14 - 12x + 13

second, deal with addition;

x = -2 - 12x + 13

third, take -12 to the other side then the negative changes to positive;

12x + x = -2 + 13

fourth, add them then simplify;

13x = 11

ans is 11 over 13

Which of these graphs represents the inequality x > 5?

Answers

Answer:

A is correct.

x>5 means all numbers greater than BUT not equal to 5.

The open circle means "not equal".

So,  A is correct.

Hope this helps!

Answer:

Graph A.

Step-by-step explanation:

Answer: x > 5 means all x values greater than 5

thus, the graph that best shows that x is greater than 5 is graph A.

Explanation: because x isn't being itself I mean by x isn't just 5 but greater than 5 (graph a)

graph b shows x being less than 5 which is wrong

graph c shows x being greater than 5 but being equal to 5 because of the bold circle

graph d shows everything wrong about x. first it's not suppose to be less than and second x isn't equal to 5

therefore the answer graph A.

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

doomdabomb: all brainliest and thanks are appreciated

and would mean a lot to me, thanks!

GIVING BRAINLIEST TO THE FIRST PERSON TO ANSWER!

A 16-inch piece of string is 40.64 centimeters long. To the nearest 0.01 centimeter, how long will a 42-inch price of string be?

A. 56.64 cm

B. 82.64 cm

C. 106.68 cm

D. 1,706.88 cm

Please show ALL work! <3

Answers

Answer:

106.68 centimeters

Step-by-step explanation:

40.64 cm/16 in = x cm/42 in

Cross multiplying, we get:

16x = 40.64(42)

16x = 1706.88

x = 106.68 centimeters

How much money will you have in 5 years if you invest $9000 at a 5.4% annual rate of interest compounded quarterly? How much will you have if it is compounded monthly?
SHOW YOUR WORK PLEASE:)

Answers

Answer: Amount in 5 years( if compounded quarterly) = $11,768.40

Amount in 5 years( if compounded monthly = $11782.54

Step-by-step explanation:

Formula for accumulated amount in t years at annual rate of r% compounded quarterly: [tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]

Formula for accumulated amount in t years at annual rate of r% compounded monthly: [tex]A=P(1+\dfrac{r}{12})^{12t}[/tex], where P= principal amount.

Given: P= $9000, r= 5.4%= 0.054, t= 5 years

Amount in 5 years if compounded quarterly =[tex]9000(1+\dfrac{0.054}{4})^{4\times5}[/tex]

[tex]=9000(1.0135)^{20}\\\\=9000(1.30760044763)\approx11768.40[/tex]

i.e. Amount in 5 years( if compounded quarterly) = $11,768.40

Amount in 5 years if compounded monthly =[tex]9000(1+\dfrac{0.054}{12})^{12\times5}[/tex]

[tex]=9000(1.0045)^{60}\\\\=9000(1.309171267)\approx11782.54[/tex]

i.e.  Amount in 5 years( if compounded monthly = $11782.54

i will rate you brainliest

Answers

Answer:

(3x+11)/ (5x-9)

Step-by-step explanation:

The numerator is what is on the top of the bar in the middle

(3x+11)/ (5x-9)

Answer:

[tex]\large \boxed{\mathrm{Option \ B}}[/tex]

Step-by-step explanation:

The numerator of a fraction is the top section of the fraction.

Please help 5/2 (2m - 4/5) = -(m+2)

Answers

Answer: m = 0

Step-by-step explanation:

5/2 (2m-4/5) = -m-2

or, 5m-2 = -m-2

or, 5m+m = -2+2

or, 6m = 0

so, m = 0

It’s 0
Simply both sides
Add to m to both sides
Add 2 to both sides
Divide by 6

9. Find the mean of the following data :
Х
8
10
12
20
16
F
2
3
7
2
5​

Answers

Answer:

[tex] \boxed{13.15}[/tex]

Step-by-step explanation:

( See the attached picture )

Now,

Mean = [tex] \mathsf{\frac{Σfx}{n} }[/tex]

[tex] \mathsf{ = \frac{250}{19} }[/tex]

[tex] \mathsf{ = 13.15}[/tex]

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

In the case of repeated data , follow the steps given below to calculate the mean :

Draw a table with 3 columnsWrite down the items ( x ) in ascending or descending order in the first column and the corresponding frequencies in the second column.Find the product of each item and it's frequency ( fx ) and write in the third column.Find the total of f column and fx column.Divide the sum of fx by the sum of f ( total number of items ) , the quotient is the required mean.

Hope I helped!

Best regards!

If the true mean is 50 and we reject the hypothesis that μ = 50, what is the probability of Type II error? Hint: This is a trick question.

Answers

Answer:

Zero

Step-by-step explanation:

Given that:

the true mean is 50 and we reject the hypothesis that μ = 50

The probability of the Type II error will be zero, given that we reject the null hypothesis. This has nothing to do with if it is true or false.

Type II error is occurs when you accept a false null hypothesis. The probability of this error is denoted by beta which relies on sample size and population variance.

The probability of rejecting is equal to one minu beta. i.e it is the researchers goal to reject a false null hypothesis.

Which option is correct and how would one solve for it?

Answers

Answer:

2+4+6+8

Step-by-step explanation:

We have the sum of 2n  where n runs from 1 to 4

n=1  2(1) = 2

n=2  2(2) = 4

n=3  2(3) = 6

n=4  2(4) = 8

The sum is add

2+4+6+8

Use a definition, postulate, or theorem to find the value of x in the figure described. Point E is between points D and F. If DE = x − 3, EF = 6x + 5, and DF = 8x − 3, find x. Select each definition, postulate, or theorem you will use. A)definition of segment bisector B)definition of midpoint C)Linear Pair Theorem D)Segment Addition Postulate The solution is x =?

Answers

Answer:

Option (D)

x = 5

Step-by-step explanation:

Since point E is in the mid of the segment DF,

Therefore, by the Segment addition postulate,

DF = DE + EF

Since DF = (8x - 3), DE = (x - 3) and EF = (6x + 5)

By substituting these values in the given postulate,

(8x - 3) = (x - 3) + (6x + 5)

8x - 3 = (x + 6x) + (5 - 3)

8x - 3 = 7x + 2

8x - 7x = 3 + 2

x = 5

Therefore, x = 5 will be the answer.

Answer:

x=6 and D

Step-by-step explanation:

Which of the following phrases are expressions?

6-1>L,

-6k = -8,

1/4<3/8,

3 + 5

Answers

Answer:

-6k = -8 is an expression

A and C are inequalities

D is arithmetic

An art teacher has 60 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each
student get? Write the answer as a mixed number.

Answers

Answer:

60.5/25

2 21/50

Step-by-step explanation:

60.5/25

Equals

2 21/50

The total money earned if we sold for scarves at $20 each

Answers

Answer:

below

Step-by-step explanation:

Depending on the amount of scarves you sell, you will multiply that amount to $20 since that is the unit rate. For example, if you sold 5 then you would multiply; 20 * 5 = $100.

Best of Luck!

Answer:

Say t is the total money and x is the number of scarfs sold your equation would look like, t=20x

You could find the total amount of money earned by putting in the number of scarfs sold in x's spot.

find the values ​​of x and y for the following matrix equations​

Answers

Answer:

Step-by-step explanation:

Joey’s pizza sells large cheese pizzas for $12.00. Each additional topping costs $0.50. Basketball Boosters bought 12 large pizzas, each with 3 toppings. There are 8 slices per pizza. How much does it cost per slice? Round to the nearest cent.

Answers

Answer:

So first you do $0.50 x 3 = 1.5

then you add that to $12.00

$12.00 + 1.5 = 13.5

13.5 is the cost of one pizza.

Since they bought 12:

The total cost of the 12 pizza is $162 <== not important

13.5 divided by 8 is 1.687

round 1.56875 to the nearest cent 1.7 = $2

so each slice costs $2

Please please help :((((

Answers

Answer:

y = x-4

Step-by-step explanation:

The y intercept is -4

We have 2 points so we can find the slope

( 0,-4) and(4,0)

m = ( y2-y1)/(x2-x1)

    = ( 0- -4)/ (4-0)

    = 4/4

   =1

The slope intercept form is

y = mx+b

y = 1x-4

y = x-4

State whether the data described below are discrete or​ continuous, and explain why.

The widths (in centimeters) of different paintings in an art museum

nothing

Choose the correct answer below.

A. The data are continuous because the data can only take on specific values.

B. The data are discrete because the data can only take on specific values.

C. The data are discrete because the data can take on any value in an interval.

D. The data are continuous because the data can take on any value in an interval.

Answers

D) The data are continuous because the data can take on any value in an interval

What 2/3 as a percentage

Answers

Answer:

66 2/3 %

Step-by-step explanation:

2/3

Take 2 and divide by 3

.666666(repeating)

Multiply by 100

66.6666(repeating)%

But .6666666(repeating) is 2/3

66 2/3 %

Answer:

[tex] 66.66\%[/tex]

Step-by-step explanation:

[tex] \frac{2}{3} \times 100\% \\ \frac{200}{3} \% \\ 66.66\%[/tex]

-3(10b+10)+5(b+2 help me solve this

Answers

-30b-30 + 5b+10 (distributed the outer numbers to the ones inside the parentheses. Next,add. Answer: -25b-20
the answer is -25b-20

There was 1500ml of orange juice in the carton. Molly used 1/4litre at breakfast. How much orange juice was left in the carton.?

Answers

Answer:

1250ml

Step-by-step explanation:

1/4litre=250ml

1500-250

What is the value of x?

Enter your answer in the box.

__units.



Please help click the picture to see the problem!

Answers

Using basic proportionality theorem

[tex]\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{42}{15}[/tex]

[tex]\\ \sf\longmapsto 15x=42(10)[/tex]

[tex]\\ \sf\longmapsto 15x=420[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{420}{15}[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

The number of hearing aids that needs to be produced and sold is??

Answers

Answer:

14.36 AND 9.89 ===> 14 or 10

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  -4 97 -568

   

Standard Form: y = -4x²+97x-568    

-24.25 -12.125 147.015625 -588.0625 20.0625

Grouped  Form: No valid Grouping      

   

Graphing Form: y = -4(x-12.13)²+20.06    

     

Factored Form: PRIME    

   

Solution/X-Intercepts: 14.36 AND 9.89    

   

Discriminate =321 is positive, two real solutions    

   

VERTEX: (12.13,20.06)     Directrix: Y=20.13    

Write 8:18 as a fraction in simplest form.

Ratio as a Fraction:

Fraction in Simplest Form:

Answers

Answer:

[tex]\text{Ratio as a fraction - \: \boxed{\frac{8}{18}}}[/tex]

[tex]\text{Fraction in simplest form - \boxed{\frac{4}{9}}}[/tex]

Step-by-step explanation:

Part 1: Writing a ratio as a fraction

A fraction and a ratio are the same thing - just a different name. Therefore, the colon in a ratio is the same as a divisor line in a fraction. Therefore, to write a ratio as a fraction,

Replace the colon with a divisor line or the divisor line with a colon (use the first portion to transform a ratio into a fraction and the second form to transform a fraction into a ratio).

Therefore, 8:18 as a fraction is 8/18.

Part 2: Fraction in simplest form

To put a fraction in simplest form, first divide the numerator by the denominator. If it contains a remainder, you cannot use this step to verify it.

8 only goes into 18 twice and leaves a 2 as a remainder, so this method does not work.

Instead, if both numbers are even, divide by 2.

8/2 = 4

18/2 = 9

Check to see if the new numerator and denominator can reduce any further.

4/9 = 4/9

The fraction in simplest form is 4/9.

Other Questions
When writting a equation how do you know where to put the equal sign? Read and choose the option that best answers the question. Paulo, siempre trabajas solo. La comunidad tiene mucha basura. Por favor, solicita ayuda de otras personas para limpiar los parques y las reas verdes. Based on these instructions from his coordinator, what does Paulo need to do? -Contar con los dems -Delegar -Dar tutora -Limpiar las jaulas 2. Calculate the rate of population increase for the whales and the seals from the data in table 2, trial 1. What does this rate represent?Hint: From the point of zero change on the graph to the highest population achieved is a change in time of 100 months. (Refer to the science skills practice in the lesson for the correct formula for the rate of population change.) four attitude that encourage the progress in society 20 points! :oQuestion 2A. Describe how an Anglo-Saxon soldier felt when he saw a Viking longboat for the first time. Excel:In cell B13, create a formula using the VLOOKUP function that looks up the value from cell A11 in the range A5:B7, returns the value in column 2, and specifies an exact match. If d-1/d=6 evaluate d+1/d Comparative financial statement data for Oriole Company and Blossom Company, two competitors, appear below. All balance sheet data are as of December 31, 2017.Blossonm Company Oriole Company 2017 2017Net sales $2,592,000 $892,800Cost of goods sold 1,692,000 489,600Operating expenses 407,520 141,120Interest expense 12,960 5,472Income tax expense 122,400 51,840 Current assets 501,300 191,836 Plant assets (net) 766,080 201,208 Current liabilities 95,508 48,551 Long-term liabilities 156,240 58,585Net cash provided by operating activities 198,720 51,840Capital expenditures 129,600 28,800Dividends paid on common stock 51,840 21,600Weighted-average number of shares outstanding 80,000 50,000 1. Compute the net income and earnings per share for each company for 2017. 2. Compute working capital and the current ratios for each company for 2017. 3. Compute the debt to assets ratio and the free cash flow for each company for 2017. When the legislative and executive powers are united in the same person, or in the same body of magistrates, there can be no liberty; because apprehensions may arise, lest the same monarch or senate should enact tyrannical laws, to execute them in a tyrannical manner. Baron de Montesquieu, The Spirit of the Laws, 1748 According to Montesquieu, what would happen in an absolute monarchy? Laws could not be enacted. Citizens could lose their freedom. Tyranny would be avoided. Powers would be limited. Please help me. What is the y intercept of the graph shown below? young apple-tree, which, planted by birds or cows, had shot up amid the rocks and open woods there, and had now much fruit on it, uninjured by the frosts, when all cultivated apples were gathered. It was a rank wild growth, with many green leaves on it still, and made an impression of thorniness. The fruit was hard and green, but looked as if it would be palatable in the winter. Some was dangling on the twigs, but more half-buried in the wet leaves under the tree, or rolled far down the hill amid the rocks. The owner knows nothing of it. The day was not observed when it first blossomed, nor when it first bore fruit, unless by the chickadee. There was no dancing on the green beneath it in its honor, and now there is no hand to pluck its fruit,which is only gnawed by squirrels, as I perceive. It has done double duty,not only borne this crop, but each twig has grown a foot into the air. And this is such fruit! Bigger than many berries, we must admit, and carried home will be sound and palatable next spring. What care I for other apples so long as I can get these? 2 When I go by this shrub thus late and hardy, and see its dangling fruit, I respect the tree, and I am grateful for Natures bounty, even though I cannot eat it. Here on this rugged and woody hillside has grown an apple-tree, not planted by man, no relic of a former orchard, but a natural growth, like the pines and oaks. Most fruits which we prize and use depend entirely on our care. Corn and grain, potatoes, peaches, melons, etc., depend altogether on our planting; but the apple emulates mans independence and enterprise. It is not simply carried, as I have said, but, like him, to some extent, it has migrated to this New World, and is even, here and there, making its way amid the aboriginal trees; just as the ox and dog and horse sometimes run wild and maintain themselves. 3 Even the sourest and crabbedest apple, growing in the most unfavorable position, suggests such thoughts as these, it is so noble a fruit. Excerpt from "Wild Apples" by Henry David Thoreau. In the public domain. I Hear America Singing by Walt Whitman I hear America singing, the varied carols I hear, Those of mechanics, each one singing his as it should be blithe and strong, The carpenter singing his as he measures his plank or beam, The mason singing his as he makes ready for work, or leaves off work, 5The boatman singing what belongs to him in his boat, the deckhand singing on the steamboat deck, The shoemaker singing as he sits on his bench, the hatter singing as he stands, The wood-cutters song, the ploughboys on his way in the morning, or at noon intermission or at sundown, The delicious singing of the mother, or of the young wife at work, or of the girl sewing or washing, Each singing what belongs to him or her and to none else, 10The day what belongs to the dayat night the party of young fellows, robust, friendly, Singing with open mouths their strong melodious songs. "I Hear America Singing" by Walt Whitman, from Leaves of Grass. In the public domain. Question 1 Which sentence BEST states the authors point of view regarding people who are ambitious? A It was a rank wild growth, with many green leaves on it still, and made an impression of thorniness. B Some was dangling on the twigs, but more half-buried in the wet leaves under the tree, or rolled far down the hill amid the rocks. C Most fruits which we prize and use depend entirely on our care. D It is not simply carried, as I have said, but, like him, to some extent, it has migrated to this New World, and is even, here and there, making its way amid the aboriginal trees. Hola! En este grupo, estare subiendo muchos datos interesantes sobre la sag de peliculas ''Harry Potter''. ''Harry Potter'', Es una saga de peliculas conformadas por:1.-Harry Potter y la piedra filosofal2.-Harry Potter y la camara secreta3.-Harry Potter y el prisionero de askaban4.-Harry Potter y el caliz de fuego5.- Harry Potter y la orden del fenix6.-Harry Potter y el misterio del principe7.-Harry Potter y las reliquias de la muerte-Parte 18.-Harry Potter y las reliquias de la muerte-Parte 2 Siganme! Asi de enteraran de todos los datos que no sabian de Harry Potter (Se recomienda a ver visto todas las peliculas de ''Harry Potter'' para que no te haga spoiler) Acellus, Inscribed AnglesFind the value of y.x120 Which empire was in competition with England over the New World? Which religion were they attempting to diminish? Which sentence uses an apostrophe correctly?Penelopes' children are staying over tonight.Phillip's car broke down on the highway.Papas tacos' are the best I've ever tasted.Pams plates' have been washed and put away. Q1) Determine the force in each member of thetruss and state if the members are in tension orcompression. Set P1 = 10 kN, P2=15 KN What is the value of x?26xOx= [?] Consider these four statements about a line that passes through two points on a plane.Statement A: The lines on a different plane from the points.Stament B: The line lies in only one plane.Statement C: The line is on the same plane as the points.Statement D: The line passes through only one plane.Which statement is true? is a carbon atom alive? "The principle of ______________ states that programs tend to access data and instructions nearby recently used data and instructions."