Find the volume and surface area of the rectangular solid. The length is 4 meters, the width is 6 meters, and the height is 3 meters.

Answers

Answer 1

Answer:

Volume = h * w * l (height, width, length)

Volume = 4* 6 * 3

Volume = 72 cube meters

Surface area is finding the are of every 2D plane on the solid.

2(w * h) + 2(l*h) + 2(w * l)

Surface are = 108 square meters


Related Questions

Daryl invested $2,200 for 3 years. He received interest of $264. What was the interest rate?

Answers

Answer:

4%

Step-by-step explanation:

264 interest/3 years=88 interest/year

principal x interest rate =interest/year

2200 x interest rate =88

interest rate =88/2200

interest rate =.04 or 4%

Help with number 16 please

Answers

Answer:

the answer is c. 300

Step-by-step explanation:

18+32×12÷2

base 1 + base 2 × height ÷ 2

the ratio between length and breadth of a rectangle is 7 : 5 find its length and breadth if it its perimeter is 60 m ​

Answers

Answer:

length= 17.5 m , breadth = 12.5 m

Step-by-step explanation:

The ratio of length : breadth = 7 : 5 = 7x : 5x ( x is a multiplier )

Then

2l + 2b = perimeter ( l is length, b is breadth )

2(7x) + 2(5x) = 60

14x + 10x = 60

24x = 60 ( divide both sides by 24 )

x = 2.5

Then

length = 7x = 7 × 2.5 = 17.5 m

breadth = 5x = 5 × 2.5 = 12.5 m

A scientist is conducting an experiment on two types of bacteria to determine which type will grow faster in a pool. After collecting data for two weeks, she finds that she can model the growth rates as follows:

Bacteria 1: y = 4x

Bacteria 2: y = 4x2

In these models, y represents the number of bacteria colonies and x represents the number of hours.
Based on these models, which type of bacteria is growing faster?

Answers

Answer:

bacteria 1

Step-by-step explanation:

i got it right

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a population standard deviation of 2 minutes.

Find the probability that it took less than one minute to find a parking space. Round answer to four decimal places.

Answers

Answer:

56

Step-by-step explanation:

Answer: 0.0062

Step-by-step explanation:

Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.

Carpeted Un-Carpeted
15.9 8.1 15 7.2 10.4 6.1
11.2 16 11.2 6.8 11.3 6.8
8.6 10 12.1 6.3

Requried:
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Answers

Answer:

The null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:

H[tex]_{0}[/tex]:  μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].

H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

Step-by-step explanation:

In the question, the given assertion is that carpeted rooms have more bacteria than uncarpeted rooms, i.e. μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

The assertion made in the question can either be the null hypothesis (H[tex]_{0}[/tex]) or the alternate hypothesis (H[tex]_{1}[/tex]). An equality must be present in the null hypothesis. The alternative hypothesis expresses the exact opposite of the null hypothesis if the claim is the null hypothesis.

Therefore, the null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:

H[tex]_{0}[/tex]:  μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].

H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

What is the equation of a circle with center (1,-4) and radius 2?
O
A. (x-1)2 + (y + 4) = 4
B. (x-1) - (y + 4)2 - 4
O C. (x+1)2 + (y - 4)2 - 4
D. (x - 1)2 + (y + 4)2 - 2

Answers

A is the correct answer to your question

What is the measure of E, in degrees?
5
48°
F

Answers

Answer:

A) 84°

Step-by-step explanation:

Since ED=EF=5

then F=D=48°

Then E=180°-48°-48°=84°

whats the probabily of drawing one blue marbel from a bag that contains 4 red marbels 6 green marbles and 1 white marbel and 3 blue marble

Answers

Answer: 3/14

Step-by-step explanation:

Number of red marbles = 4

Number of green marbles = 6

Number of white marbles = 1

Number of blue marbles = 3

Total number of marbles = 14

Therefore, the probability of drawing one blue marble will be:

= Number of blue marbles / Total number of marbles

= 3/14

Solve the following system of equations graphically on the set of axes below.
y= x+2
y= -1/2x+8

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

(4,6)

»»————- ★ ————-««  

Here’s why:  

I have graphed the two equations in a program. The point of intersection would be the solution to the system.When graphed, the lines intersect at point (4, 6). (4,6) is the solution.

⸻⸻⸻⸻

See the graph attached.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Is 11/15 repeating? If not, how many places does it take to terminate?

Answers

Answer:

repeating due to the denominator

Step-by-step explanation:

11/15 = (11/5)×(1/3)

11/5 terminates after 1 place.

but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.

Answer the following and round to one decimal place.

Answers

Step-by-step explanation:

5 1/2% = 5.5% = 5.5/100 = 0.055

0.055 * 68 = 3.74

Answer:

3.74

Step-by-step explanation:

[tex]5\frac{1}{2}%[/tex] of 68

In order to do this you need to convert 5 1/2 into a decimal!

Answer: 5.5

Explanation: 5 is a whole number and half of one unit will be 0.5

5 + 0.5 = 5.5

Then multiply 5.5 and convert 68 into "0.68"

5.5 × 0.68 = 3.74

Answer: 3.74

This is my last one I’m happy

Answers

Answer:

105

Step-by-step explanation:

So, we know the formula is:

D=rt or D=r*t

We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.

Here are the two sets we can look at:

t=2, d=210

t=3, d=315

Lets plug these in and solve:

210=r*2

Divide both sides by 2 to get r alone:

105=r

Now lets check if this is true by pluggin in 105 for r in the second set, and seeing if it works:

D=r*t

315=105*3

=

315=315

So 105 is our answer.

Hope this helps!

john had a bag of 10 marbles (2 Green, 4 Blue, 1 Yellow, 2 Red) What is the probability that john selects a green marble, replaced it, and then selects a green marble?

Answers

Answer:

2/9

Step-by-step explanation:

the question didnt say replaced it with another colour

sum of 15,-2 and 7 is​

Answers

Answer:

20

Step-by-step explanation:

15+(-2)+7=13+7=20

[tex]\longrightarrow{\blue{20}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]\:15 + ( - 2) + 7[/tex]

➺ [tex] \: 15 - 2 + 7[/tex]

➺ [tex] \: 22 - 2[/tex]

➺ [tex] \: 20[/tex]

Note:-

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

I need about 2 of these but pls explain so I can learn and try on my own pls

Answers

These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.

Obtuse: c^2 > a^2 + b^2

Acute: c^2 < a^2 + b^2

Right: c^2 = a^2 + b^2

#7 --- Obtuse

21^2 ___ 8^2 + 15^2

441 ___ 64 + 225

441 > 289

#8 --- Right

20^2 ___ 12^2 + 16^2

400 ___ 144 + 256

400 = 400

#9 --- Acute

6^2 ___ 4^2 + 5^2

36 ___ 16 + 25

36 < 41

Hope this helps!

What is the answer to number question

Answers

Answer:

1.5

Step-by-step explanation:

5*.3

Which values are NOT in the domain of the function?
f(x)
x +4
x2 – 25
O
A) x = -4,4
B) 2 = -5,4
C) x = -4,5
OD) X = -5,5

Answers

Given:

The function is:

[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]

To find:

The values that are NOT in the domain of the given function.

Solution:

We have,

[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]

This function is a rational function and it is defined for all real values of x except the values for which the denominator is equal to 0.

Equate the denominator and 0.

[tex]x^2-25=0[/tex]

[tex]x^2=25[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{25}[/tex]

[tex]x=\pm 5[/tex]

So, the values [tex]x=-5,5[/tex] are not in the domain of the given function.

Therefore, the correct option is D.

The cost of making 6 chairs is $410. The cost of making 22 chairs is $570.
What is the cost per chair?
What is the fixed cost (or startup cost) that you need to spend before making the first chair?
Write a linear equation that tells you the total cost, C. of making x chairs.
CE
What is the total cost of making 17 chairs? $
If your total cost is $820, how many chairs did you make?

Answers

Answer:

if it cost 410 dollars to make 6 chairs we can divide 410 by 6 which is 68.3333333333 or 68 1/3

now for the other set of chairs we can divide 570 by 22 which is

25.9090909091 or 25.9

and for the rest it doesn't make any sense to me sorry

2
Question 10 Multiple Choice Worth 5 points)
(06 02 MC)
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
1
5x + 2y = 2
3x - 3y = 18
The slopes are the same, and the y.Intercepts are the same
The slopes are the same, and the y-intercepts are different
The slopes are different, and the y-intercepts are the same
Previous Question
Question 1 (Answered)
ON
Type here to search
O
BE
C
84'F Rain coming
AG

Answers

Answer:

the slopes are different, and the y-intercepts are also different

Step-by-step explanation:

We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b

Let's rewrite each equation:

✔️5x + 2y = 2

Subtract 5x from each side

2y = -5x + 2

Divide both sides by 2

y = -5x/2 + 2/2

y = -⁵/2(x) + 1

The slope (m) = -⁵/2

y-intercept (b) = 1

✔️3x - 3y = 18

Subtract 3x from each side

-3y = -3x + 18

Divide both sides by -3

y = -3x/-3 + 18/-3

y = x - 6

Slope (m) = 1

y-intercept (b) = -6

✅Therefore, the slopes are different and the y-intercepts are also different

Find the area of the following circle.
plz I need this fast!

------11m------


379.94 m 2

34.54 m 2

94.985 m 2

17.27 m 2

Answers

Answer:

[tex]A=379.94\ m^2[/tex]

Step-by-step explanation:

Given that,

The radius of a circl is 11 m

We need to find the area of the circle. The forcemula for the area of a crcle is given by :

[tex]A=\pi r^2[/tex]

Put all the values,

[tex]A=3.14\cdot11^{2}\\A= 379.94\ m^2[/tex]

So, the area of the circle is equal to [tex]379.94\ m^2[/tex].

Answer:94.985 m 2

Step-by-step explanation:

which figure shows the radius of circle O?

Answers

Answer:

D

Step-by-step explanation:

The radius of a circle refers to a segment connecting the center of the circle to the circumference of the circle. This can be seen in selection D), as a segment connects the center of the circle (O) to the circumference or outer edge of the circle.

Find the 22nd term of the arithmetic sequence whose common difference is d =3 and whose first term is a_1=-20

Answers

1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49,52,55,58,61,64,67,70,73,76,79,82,85,88,91,94,97,100

f(n) = 1 + 3(n-1) = 1 + 3n - 3 = 3n -2

f(22) = 3(22)-2 = 66-2 = 64

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)

Two expressions of the equation

Answers

Step-by-step explanation:

let the expression of the equation be :

x+y=0

x²+y²= 5

hope it is helpful to you

HELP ON NUMBER 2 PLEASE

Answers

c

step by step explanation

hope this helps

Answer:

its C

Step-by-step explanation:

if u need some explanation just ask

Which function is shown in the graph below?

Answers

Answer:y=log1x

Step-by-step explanation:

PLS HELP LAST THING I NEED FOR MATH THIS SCHOOL YEAR

ANSWER WITH STEP BY STEP SOLOUTION/PROCESS = BRAINLIEST ANSWER AND 5* VOTE

TROLLS = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED

PART 2, PART 1 ALREADY POSTED CHECK PROFILE​

Answers

Answer:

B = 25 because 180-25-130 = 25 and all angles within triangle add to 180 degrees

a = 6  because the triangle is isosceles and we can see symmetry and draw this to prove on two opposite lines, therefore we can now find height easier.

c = 10. 876  because 130/2 = 65 degree and with new central height we can find Right Angle and using 6 x sin (65) = 5. 438 then we multiply by 2 to find c  

Then all you have to do is re-write and round to the nearest 10th and check the units and write degree sign where required.

Step-by-step explanation:

please help me look at the photo!

Answers

First of all multiply both sides by the power of 3 to cancel out the cube roots.

So you will be left out with:

X+4 > -x

Now simplify:

4 > -x-x

4> -2x

4/-2 > -2x/-2

-2 > x

Final answer:

It’s C , x < -2

Good luck and best of wishes!!

A​ student's course grade is based on one midterm that counts as 20​% of his final​ grade, one class project that counts as 10​% of his final​ grade, a set of homework assignments that counts as 50​% of his final​ grade, and a final exam that counts as 20​% of his final grade. His midterm score is 63​, his project score is 89​, his homework score is 92​, and his final exam score is 77. What is his overall final​ score? What letter grade did he earn​ (A, B,​ C, D, or​ F)? Assume that a mean of 90 or above is an​ A, a mean of at least 80 but less than 90 is a​ B, and so on

Answers

Answer:

85 i guess

Step-by-step explanation:

Other Questions
I have to solve the equation:[tex] |4 \sqrt{2} - 6 | + |2 \sqrt{10} - 6| [/tex]The first thing I tried is simply removing the modules, it seemed like the most logical solution and this is the answer I got, but it wasn't any of the options:[tex]4 \sqrt{2} + 2 \sqrt{10} + 12[/tex]The second thing I tried is putting both equations in one module and sum the first one with the second one in parentheses like this:[tex] |4 \sqrt{2} - 6 + (2 \sqrt{10} - 6 | = \\ = |4 \sqrt{2} - 6 + 2 \sqrt{10} + 6 | = \\ = 4 \sqrt{2} + 2 \sqrt{10}[/tex]But this wasn't in the answers either. After I checked, the correct answer was:[tex]2 \sqrt{10} - 4 \sqrt{2} [/tex]So I was wondering where does the minus come from? It is in a module and between the modules, there's a plus and even if that plus somehow turns into a minus when it goes inside the modules, which I'm not aware of, it would still turn into a plus because it is in a module ;-; Or I'm just st*pid, I don't know. What is the difference between a protein and a trait What equation is always true? Solve the system by graphing. Write the solution as an ordered pair.y = 13x + 2y = x 2PLEASE HELP!!!!! After the railroads were finished, what did nativists fear the Chinese workers would do? What caused china's phenomenal economic growth rate over the last 30 years, and why is it likely unsustainable in the long run? what were similarities between classical mesoamerican and south american civilizations Thinking Critically and Solving ProblemsWhat is the best way to manage adversity in the workplace?A) Look for the root cause of the problem.B) Brainstorm ways the problem can be overcome.C) Consider the causes and effects of the problem.D) View the problem as an opportunity to make changes. Hi savaine, this is for you Nasik is famous for its_________(a) litchies (b) seeds(c) grapes Compute straight-line depreciation on the building at the end of one year, assuming an estimated 10-year useful life and a $16,000 estimated residual value. (Do not round intermediate calculations.)What should be the book value of (a) the land and (b) the building at the end of year 2 fre point you dont have to awnser What is the purpose of a body paragraph does this graph show a function pic out of the multiple choice to explain how Doug Allen has decided to go into the insect extermination business and to operate as Doug's Extermination Service. The following transactions were completed during the first month of operations, May, 20--. 1. Doug invested $35,000 cash in the business. 2. Purchased extermination equipment for $17,000 in cash. 3. Paid $700 rent for garage and office quarters. 4. Purchased chemicals (expense) for $1,100 from Low Glow Chem Co. on account. 5. Received $1,600 revenue for extermination service. 6. Paid telephone bill, $120 7. Paid assistant's salary, $700. 8. Earned $980 revenue for extermination service, on account. 9. Paid electric bill, $230. 10. Paid for truck repairs (expense), $145. 11. Paid $600 to Low Glow Chem Co., on account. 12. Paid $131 for gas and oil for truck (expense). 13. Received $1,400 revenue for extermination service. 14. Received $500 for services previously earned on account in transaction (8). 15. Paid assistant's salary, $900. Required: Write the transactions in the T accounts, then write the total of each column. If an account has entries on both sides, determine the balance and enter it on the side with the larger total. 2. Read this passage from FEMA, the Federal Emergency Management Agency, about preparing for tornadoes. What do the details in this passage all haveBe alert to changing weather conditions. Look for approaching storms.Look for the following danger signs:Dark, often greenish skyLarge hailA large, dark, low-lying cloud (particularly if rotating)Loud roar, similar to a freight train.If you see approaching storms or any of the danger signs, be prepared to take shelter immediately.They convince the reader that tornados are dangerousThey describe the weather signs of an approaching tornadoThey inform the reader what to do in case of a tornadoThey persuade the reader to be ready for a tornadoPREVICUS 2 of 25 NEXTSAIType here to searchRi Supporters of Andrew Jackson believed that ordinary people _____. should vote in elections and hold public office should vote and run for office if they owned property could not be trusted in the political process were not equal in status to the wealthy Reason why the civil war was inevitable If f(x) = 5x, what is rx)? how many solutions does this system have?