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2 years ago

What is the volume of the following rectangular prism?

Mathematics

1 answer:

sineoko [7]2 years ago

7 0

Answer:

Step-by-step explanation:

It's going to be a mixed number.

Givens

L = 4 units

w*h = 2 1/8 units^2

V=L* (w*h)

V = 4 * (2 1/8)

V = 8 1/2

Where did the 1/2 come from?

You could write 2 1/8 as 2 + 1/8 and use the distributive property.

4(2 + 1/8)

4*2 + 4 * 1/8

8 + 4/8

4/8 = 1/2

8 1/2

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The slope of the line shown in the graph is<br> and the y-intercept of the line is

Katen [24]

Answer:

y-intercept is 6, the slope is 2/3

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

6 0

1 year ago

The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)2t. There are 25 bacteria prese

nordsb [41]

Answer: 1.67 hours.

Explanation:

1) Function that models the number of bacteria:

$B(t)=B_0(10)^{2t}$

2) Bo = 25, then the function is:

$B_0=25(10)^{2t}$

3) To know how many hours will elpase until the number of bactaria is 55,00, you equals B to 55,500 in the equation and solve for t, in this way:

i) start

$55000=25(10)^{2t)$

ii) division property

$2200=10^{2t}$

iii) antilogarithm property

$2t = log_{10}2200$

iv) division property

$t=\frac{log_{10}2200}{2}$

v) Due the operations:

t = 1.67 hours.

Note that the time is less than 2 hours. That sounds fine since after 1 hour there will be 10 times 25 (250 bacteria), and after 2 hours 100 times 25 (2500 bacteria).

3 0

2 years ago

. Calculate the loss on selling 50 shares of stock originally bought at 133/4 and sold at 12.

Aleks04 [339]

is simply the difference of both numbers of course, the price it was sold minus the price it was bought at.

$\bf \cfrac{133}{4}-12\implies \cfrac{133}{4}-\cfrac{12}{1}\implies \stackrel{\textit{our LCD will be 4}}{\cfrac{(1)133-(4)12}{4}}\implies \cfrac{133-48}{4}\implies \cfrac{85}{4}$

8 0

3 years ago

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

Whitepunk [10]

-10. One type of system of equations that results in infinite solutions is one where both sides of the equation are exactly equal. Here, setting the second equation equal to -10 becomes 2y - 4x = -10. This can be rearranged into 2y = 4x - 10. Dividing everything by 2 results in y = 2x - 5, which is exactly what the first equation is. Substituting one equation into another, we get 2x - 5 = 2x - 5, which is a true statement for all values of x.

8 0

3 years ago

Read 2 more answers

11.1.30<br> How many three-digit even numbers are possible if the leftmost digit cannot be zero?

Ann [662]

The total number of 3 digit even numbers is 450

Step-by-step explanation:

Step 1 :

We need to determine the number of 3 digit numbers which is even and the leftmost digit is not zero .

The 3 digits with left most digit not equal to zero starts from 100 and goes up to 998

If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.

Step 2:

The last number l in this series is 998 .

So we have

a = 100

l = 998

d = 2

The nth term in the arithmetic progression is given by a + (n-1) d

so substituting the above values we get

100 + (n-1) 2 = 998

2n = 900 => n = 450

Step 3 :

Answer :

The total number of 3 digit even numbers is 450

4 0

3 years ago