MATHEMATICS COLLEGE

The volume of a rectangular prism is 50 5/8 cubic inches.The dimensions are given below.

What is the missing value in the table?

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

Length Width Height

5 in. 214 in.

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

A) 79in.

B) 412in.

C) 134in.

D) 1018in.

Answers

Answer 1
Answer:

mcyt mcyt mcyt mcyt mcyt
Answer 2
Answer:

Final answer:

The missing value in the dimensions of a rectangular prism having a volume of 50 5/8 cubic inches, length 5 inches, and width 214 inches, is found by dividing the volume by the product of length and width. On calculating, it is found to be approximately 1/7 inches.

Explanation:

The volume of a rectangular prism is found by multiplying the length, width, and height together. Here, you are given the total volume (50 5/8 cubic inches) and two of the dimensions (length is 5 inches and width is 214 inches). Therefore, the missing value is the height. To find this, you should divide the total volume by the length and the width.

So, Height = Volume / (Length x Width) = (50 5/8) / (5 x 214) = 81/ 14, which gives approximately 1/7 inches. Hence, none of the options (A, B, C, D) is correct.

Learn more about Volume of Rectangular Prism here:

brainly.com/question/22023329

#SPJ12

Related Questions

-3 < 5 true or false
Line A y= 2x + 3 is parallel to another line B, what is the slope of the line B?
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
What percent is equivalent to 2/366 1/3 66 3/5 66 2/3 66 7/10
Can solve this...(-2e3)4?

An automobile engineer is revising a design for a conical chamber that was originally specified to be 12 inches long with a circular base diameter of 5.7 inches. In the new design, the chamber is scaled by a factor of 1.5. What is the volume of the revised chamber? Round your answer to two decimal places.

Answers

Volume of a cone = 1/3πr²h
r = 5.7/2 = 2.85
h = 12
Volume of original design =1/3π(2.85)²(12)
= 32.49π
= 102.07.....
Linear scale factor = 1.5 = 3/2
Volumetric scale factor = (3/2)³ = 27/8
Volume of revised design = 102.07..... × 27/8
= 344.487..... ⇒ 344.5 in³

I need help please help me​

Answers

Is there anwer choices

Which formula shows a joint variation?

Answers

The answer is the first option: I, II and III.

The explanation is shown below:

1. By definition, there is a joint variation  when a variable depends on two or more different variables. Therefore, you can express it as following:

y=kxz

Where x,y and z are the variables and k is the constant of proportionality.

As you can see, y is directly proportional to x and z.

2. Keeping the information above, you have:

I) V=lwh (V varies jointly with l, w and h.

II) V=(1)/(3)r^(2)h\pi (If (\pi)/(3) is the constant of proportionality, V varies jointly with r^(2) and h).

III) V=Bh (V varies jointly with B and h.

Answer : I, II and III  

To find volume formula that shows joint variation we analyze each option

Joint variation always depends on atleast two dependent variables

for example y = kxy

The variable y depends on x  and y and k is constant of proportionality

V= lwh

It means volume depends on length , width and height. 1 is the constant of  proportionality .

v=(1)/(3) \pi r^2h

V depends on radius r  and height h. Here 1/3 pi is the constant of proportionality

V= BH

V depend on base b  and height h . 1 is the  constant of  proportionality .

So answer is I, II , III  

Cuánto le falta a 3/5para llegar a 9/10

Answers

Answer:

3/10

Step-by-step explanation:

3/5 se puede convertir en 6/10

(3x2)/(5x2).

9/10 - 6/10 = 3/10

le falta 3/10 para llegar a 9/10.

The sum of three consecutive multiples of 4 is 444. Find these multiples.

Answers

Step-by-step explanation:

Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) ...[Since, the number are consecutive multiple of 4]

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}\n

:\implies \sf x \: + \: x \: + \: 4 \: + \: x \: + \: 8 \: = \: 444 \n \n \n

:\implies \sf 3x \: + \: 12 \: = \: 444 \n \n \n

:\implies \sf 3x \: = \: 444 \: - \: 12 \n \n \n

:\implies \sf 3x \: = \: 432 \n \n \n

:\implies \sf x \: = \: (432)/(3) \n \n \n

:\implies\underline{ \boxed{\sf x \: = \: 144}} \n

_________________

Therefore,

\bullet\:\:\textsf{First multiple of 4 = x = \textbf{144}} \n

\bullet\:\:\textsf{Second multiple of 4 = x + 4 = 144 + 4 = \textbf{148}} \n

\bullet\:\:\textsf{Third multiple of 4 = x + 8 = 144 + 8 = \textbf{152}}
First multiple of 4 is x = 144

Second multiple of 4 is x + 4 = 144 + 4 = 148

Third multiple of 4 is x + 8 = 144 + 8 = 152

A bacteria culture is initially 10 grams at t=0 hours and grows at a rate proportional to its size. After an hour the bacteria culture weighs 11 grams. At what time will the bacteria have tripled in size?

Answers

A bacteria culture is initially 10 grams at t=0 hours & grows at a rate proportional to its size , After an hour the bacteria culture weighs 11 grams , The bacteria takes 11.56 hours to have tripled in size.

To find the time of bacteria when increasing the growth to tripled.

Given :    when time=0 hours , weight=10 grams.

               when time=1  hours , weight=11 grams.

To find:   when time= ? hours , weight=30grams.

Here according to question, initial size = 10 grams we have asked for tripled in size i.e. 30 grams.

Now we knows that,

The formula for exponential growth in population or size is

              \rm (P)=P_0e^(rt)  where,

               \rm P_0=initial\;size\n\nr= rate\;of\;growth\n\nt= time \;period

Now, we put the value in formula we get,

\rm P_0=10\;grams \n\nwhen ,\n\;\;t=1\;hour P(t)=11 grams\nThen,\n11=10e^{r(1)\n1.1 =e^r\n\n\rm Taking \;log(natural)\;both\;the\; side \;on \;solving\;we\;get,\nln(1.1)=r\;ln(e)\nr=ln(1.1)\nr=0.953101798043\approx0.095

Now when the bacteria increase its size to triple

\rm P(t) = 3 * 10 = 30

Then, according to the formula we substitute values in the formula,

\rm 30=10e^(0.095t)\n\n3=e^(0.095t)\n\nAgain \;we \;take\;natural\;log\;on \;both\;the\;sides, we\;get\nln\;3=0.095t\n\nt=(\rm ln\;3)/(0.095)\n\n\n\n\rm t= (1.09861228867)/(0.095) \n\n\ t=approx \; 11.56

Therefore, The bacteria takes 11.56 hours to have tripled in size.

Learn more about logical questions here : brainly.com/question/15046576

Answer: It will take 11.56 hours .

Step-by-step explanation:

Exponential growth in population or size formula :

P(t)=P_0e^(rt)

, where P_0 = initial size

r= rate of growth

t= time period

As per given , we have

P_0=10 grams

At t= 1 , P(t)= 11 grams

Then,

11=10e^(r(1))\n\n 1.1= e^r\n\n\text{Taking natural log on both sides , we get} \n\n\ln (1.1)=r\ln (e)\n\n r=\ln (1.1)\n\n r=0.0953101798043\approx0.095

When, the  bacteria have tripled in size , P(t) = 3 x10 = 30

Then,

30=10e^(0.095t)\n\n 3=e^(0.095t)

\text{Taking natural log on both sides , we get}\n\n \ln 3=0.095t\n\n t=(\ln3)/(0.095)\n\n t=(1.09861228867)/(0.095)\approx11.56

Hence, it will take 11.56 hours .
Other Questions
He takes a random sample of 49 recent charterholders and computes a mean salary of $172,000 with a standard deviation of $35,000. Use this sample information to determine the 90% confidence interval for the average salary of a CFA charterholder.
100 point question.......
Which value of x makes this equation true -5(x - 20) = 35
A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this is still true, a researcher randomly selected 100 cardiologists and found that 36 said that they took vitamin E supplements. At α = 0.05, test the claim that 39% of the cardiologists took vitamin E supplements. A recent study said that taking too much vitamin e might be harmful how might this study make the results of the previous study invalid?