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Strike441 [17]
3 years ago
8

Please help me in answers 3 and 5

Mathematics
1 answer:
Mama L [17]3 years ago
4 0
3. The correct answer is 2) 3m² - 6. 
(2m² + 3m - 4) + (m² - 3m - 2)   Given
2m² + m²   These numbers are like terms, because they both end in m².
3m²   Since m² can also be written as 1m², and 2 + 1 = 3, this is the sum of 2m² and m² (1m²).

3m + (-3m)   These numbers are like terms, because they both end in m. -3m is negative because it was being subtracted.
0   Since we're adding a negative, it's the same as subtracting something. 3m - 3m is 0.

-4 + (-2)   These numbers are like terms, because they are both simple integers with no variable. Once again, we're adding a negative because it was being subtracted.
-6   -4 + (-2) is the same as -4 - 2, which is -6. Remember that when you're subtracting from a negative, the number seems to become larger. For instance, 1 - 1 is 0, but -1 - 1 is -2.

3m² - 6   Put all of the terms together. We don't have to write out 0, because 0 is the same as nothing.

5. This one is a bit unclear, but I think that the correct answer is 2) II and IV. The slope formula can be written as y = mx + b, where m is the slope and b is the y-intercept, or the place where the line crosses the y-axis. In this equation, b is 2, which is a positive number, so the y-intercept shifts upward. This means that the answer is either 2 or 3. As for |x - 6|, the way this is written makes the equation somewhat confusing. I believe that the bars are meant as absolute value bars, which, put simply, turn negatives into positives. This means that this part is x + 6, so the line shifts to the right. However, if they were intended as parentheses, the line would shift to the left, because we're subtracting 6 from x. I'm almost certain those were intended as absolute value bars, though, so I think that the answer is 2.

Hope this helps!
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“An architect is planning to incorporate several stone spheres of different sizes into the landscaping of a public park, and wor
Artist 52 [7]

Answer:

Part 1) The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

Part 2) The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

Step-by-step explanation:

Step 1

Find the radius of each sphere

we know that

The circumference of a circle is equal to

C=2\pi r

<u><em>Find the radius of the sphere with a 5.50-meter circumference</em></u>

For C=5.50\ m

assume

\pi =3.14

substitute and solve for r

5.50=2(3.14)r

r=5.50/[2(3.14)]=0.88\ m

<u><em>Find the radius of the sphere with a 7.85-meter circumference</em></u>

For C=7.85\ m

assume

\pi =3.14

substitute and solve for r

7.85=2(3.14)r

r=7.85/[2(3.14)]=1.25\ m

step 2

Find the surface area of each sphere

The surface area of sphere is equal to

SA=4\pi r^{2}

<u><em>Find the surface area of sphere with a 5.50-meter circumference</em></u>

For r=0.88\ m

assume

\pi =3.14

substitute

SA=4(3.14)(0.88)^{2}

SA=9.73\ m^{2}

<u><em>Find the surface area of sphere with a 7.85-meter circumference</em></u>

For r=1.25\ m

assume

\pi =3.14

substitute

SA=4(3.14)(1.25)^{2}

SA=19.63\ m^{2}

step 3

Find the cost of finishing each sphere

we know that

To find out the cost , multiply the surface area by $92 per square meter

<u><em>Find the cost of sphere with a 5.50-meter circumference</em></u>

9.73*(92)=\$895.16

therefore

The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

<u><em>Find the cost of sphere with a 7.85-meter circumference</em></u>

19.63*(92)=\$1,805.96

therefore

The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

6 0
3 years ago
Help me answer pls thanks.Dont answer if ur just put nothing or you dont know. ​
raketka [301]
Hi I want the points thanks
8 0
2 years ago
-6c&lt; -12<br> what will the answear be
murzikaleks [220]

Answer:c>2

Step-by-step explanation:

-6c (divide) (-6) > -12 (divide) (-6)

c>-12 (divide) (-6)

c>12 (divide) 6

c> 2

8 0
3 years ago
Find the simple interest on $900 for 18 months at a rate of 9.5% per year
Anestetic [448]
To get the simple interest, we must use the formula: I= (p)(r )( t)
So, in this one we need to multiply $900x18x9.% and the answer will be  $128.25. This is the amount of interest they are going to pay per year.
6 0
3 years ago
A square garden has an area of 12.25 square meters what is the perimeter of the garden?
serg [7]
Area of square= s^2
12.25=s^2
take the sqrt(12.25) = 3.5
Perimeter of square = 4s
P=4(3.5)
P= 14 m
3 0
3 years ago
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