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mylen [45]
3 years ago
5

Consider the number 4n , where n is a natural number. Check whether there is any value of e N for which 4n ends with the digit z

ero
Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0
For the number 4n to end with digit zero for any natural number n, it should be divisible by 5. This means that the prime factorisation of 4n should contain the prime number 5
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Alex needs to varnish the top And the bottom of a dozen rectangular wooden planks planks are 8 feet long and 3 feet wide each pi
meriva

Answer:

It will cost approximately $16.12 to varnish all the wooden planks.                                            

Step-by-step explanation:

We are given the following in the question:

Number of rectangular planks = 12

Dimension of the rectangular wooden plank:

Length = 8 feet

Width = 3 feet

Area covered by I bottle of varnish = 125 Square feet

Cost of 1 bottle of varnish = 3.50 units

Area of 1 rectangular plot =

A = \text{Length}\times \text{Width}\\A = 8\times 3\\A = 24\text{ square feet}

Total area to be covered by varnish =

= \text{Area of 1 plank}\times 12\times \text{Top area and bottom area}\\=24\times 12\times 2\\=576

Number of varnish bottles required =

n = \dfrac{\text{Total area}}{\text{Total area covered by 1 varnish bottle}} = \dfrac{576}{125} = 4.608

Cost of varnishing =

=\text{Cost of 1bottle of varnish}\times \text{Number of varnish bottles}\\=4.608\times 3.50\\=\$16.12

Thus, it will cost approximately $16.12 to varnish all the wooden planks.

6 0
3 years ago
Solve the compound inequality for x and identify the graph of its solution.
RoseWind [281]

Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

8 0
3 years ago
Y’all please give me the answer to this. (7 questions) have to show work.Geometry. Will mark brainliest.
topjm [15]

Answer:

Step-by-step explanation:

Sweet. Get to answer finally. I was the guy commenting on your other post.

1. 72

2. 46

3. 99

4. Same side interior angles are supplementary

5. alternate interior angles are equal to each other so set up the x expressions equal to each other. 5x-7=3x+17. Solve for x

5x-7=3x+17

2x=24

x=12

plug it in for the 5x-7 and get an angle.. 5(12)-7

60-7

53.

The 5x-7 and the 4y+3 is supplementary.

so 53+3+4y=180. combine the 2 and set them equal to 180 to find y

56+4y=180

124=4y

y=31

And now we find the angle of 6. We know that corresponding angles are equal and the y expression and angle 6 are corresponding angles

so plug in your answer for y in the expression..

4(31)+3 = 127.

so angle 6 is 127

6 0
3 years ago
Samantha black, a 5-foot y'all park ranger, needs to know the height of a tree. She notices that when the shadow of the tree is
abruzzese [7]

Answer:

The tree is 30 feet tall.

Step-by-step explanation:

4 times 6 is 24, so 5 times 6 is the answer which is 30.

Or you can multiply 24/1 by 5/4

8 0
3 years ago
Answers for adding and subtracting polynomials
lakkis [162]
Please explain more :))

Oh nvm this
(4+9) + (2-1) = 12
5 0
3 years ago
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