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AnnyKZ [126]
2 years ago
13

What is the volume of this right rectangular prism?

Mathematics
1 answer:
vfiekz [6]2 years ago
8 0
The volume of this right rectangular prism is 263.52 and it is to the nearest hundredths as a decimal, hope it helps!
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Log10 (2x + 1) - logio(3x - 2) = 1​
Pavlova-9 [17]

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

2x+1=30x-20

Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .

3 0
3 years ago
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST (and correctly ofc)
torisob [31]

Answer:

y = 3 (4)^x

Step-by-step explanation:

quadruples means multiplies by 4

This equation is in the form

y = ab^x  where a is the initial amount and b is the amount we multiply by

y = 3 (4)^x

4 0
3 years ago
Read 2 more answers
Factor the expression using the GCF 12 + 20
Rus_ich [418]

Answer:

3 + 5

Step-by-step explanation:

GCF = 4

12 / 4 = 3

20 / 4 = 5

3 + 5 = 8

6 0
3 years ago
Write an equation in slope-intercept form for the line with slope -5 and y-intercept 3. Then graph the line.
kumpel [21]

The slope-intercept form for the line with slope -5 and y-intercept 3 is,

y= -3x+5.

What is the slope-intercept form of a line?

The conventional form Ax + By = C and y= mx + b have been used to describe linear equations. The slope-intercept form y = mx + b will now be the focus of our attention.

You can write a linear function using the slope of the line and the y-intercept in the slope-intercept form.

y=mx+b

Where b is the y-intercept and m is the slope.

A straight line's slope-intercept equation is written as y=mx+b, where m denotes the slope and b is the y-intercept.

In this case, m=3 and b=5 and y=3x+5 y=3x+5 is the necessary equation.

Hence,The slope-intercept form for the line with slope -5 and y-intercept 3 is,

y= -3x+5.

to learn more about slope-intercept from the given link,

brainly.com/question/19440459

#SPJ1

8 0
1 year ago
The scatter plot and table show the number of grapes and blueberries in 10 fruit baskets.
balu736 [363]

c is the correct answer i believe

4 0
3 years ago
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