Solve for the sum of 2ab2 and (-5ab2) is the same as the sum of (-6ab2) and____.

Answers

Answer 1

Answer: The problem ask to find the sum of the said polynomial equation and first of all, you must use the FOIL method in getting the sum of it, you should sum First, Outside, Inside and last and the answer 3ab2. I hope you are satisfied with my answer and feel free to ask for more

Answer 2

Answer: what is the value for the a variable and b variable?

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Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1.5 m/s, how fast is the area of the spill increasing when the radius is 30 m?

Answers

Answer:

The area of the oil spill is increasing at a rate 180 π m²/s, when the radius is 30 m.

Step-by-step explanation:

Derivative Rule:

$(d)/(dx)x^n=nx^(n-1)$
$(d)/(dx)(y^n)=ny^(n-1)(dy)/(dx)$

Given that

The radius of the oil spill increases at a rate 1.5 m/s.

i.e $(dr)/(dt)= 1.5\ m/s$

We need to find the rate of area increase i.e $(dA)/(dt)$ .

We know,

The area of the oil spills A = $\pi r^2$ ( since it spreads in circular pattern)

$\therefore A=\pi r^2$

Differentiating with respect to t

$(dA)/(dt)=\pi. 2r(dr)/(dt)$

Plug the value of $(dr)/(dt) =1.5 \ m/s$

$(dA)/(dt)=\pi. 2r(3\ m/s)$

$\Rightarrow (dA)/(dt)=6\pi r \ m/s$

Plug r= 30 m

$\Rightarrow (dA)/(dt)=6\pi (30\ m) \ m/s$

=180 π m²/s

The area of the oil spill is increasing at a rate 180 π m²/s, when the radius is 30 m.

Joe says that the product of 4-digit number and a 1-digit number is always a 4-digit number. Does Jose's statement make sense?

Answers

We cannot say that the product of 4-digit number and a 1-digit number is always a 4-digit number.

Joe's statement does not make sense.

Given :

Joe says that the product of 4-digit number and a 1-digit number is always a 4-digit number.

Lets take an example and analyze Joe's statement

Let the 4 - digit number is 2131

and a one digit number is 5

Lets multiply it

$2131 \cdot 5=10665$

We can see the the result is a 5-digit number

We cannot say that the product of 4-digit number and a 1-digit number is always a 4-digit number.

Joe's statement does not make sense.

Learn more : brainly.com/question/11262281

The correct answer is:

No.

Explanation:

The number of digits in the product depends completely on what digits are being multiplied. For instance, multiplying 2222 by 4 would result in a 4-digit number, 8888. However, if you multiply by 5, since 5(2) = 10, this will change the number of digits in the answer.

If it takes Mark twice as long to earn $6.00 as it takes Carl to earn $4.00, what is theratio of Mark’s pay per hour to Carl’s pay per hour?

Answers

The ratio of Mark’s pay per hour to Carl’s pay per hour is 3:4 given that Mark takes twice as long as to earn $6.00 as it takes Carl to earn $4.00. This can be obtained by dividing their hourly wages.

What is the required ratio?

Given that, Mark takes twice as long as to earn $6.00 as it takes Carl to earn $4.00.

(Time taken for Mark to earn $6)=2×(Time taken for Carl to earn $4)

Time taken for Mark to earn $3 = Time taken for Carl to earn $4

This means that Mark takes the same amount of time to earn $3.00 as Carl earn $4.00.

Thus the ratio of Mark’s pay per hour to Carl’s pay per hour, 3/4 = 3:4

Learn more about ratio here:

brainly.com/question/24559300

#SPJ2

If it takes Mark twice as long to make $6.00 than Carl making $4.00, this means Mark made $3.00 in the time it took Carl to make $4.00.
So the ratio is $3.00 to $4.00, or 3/4.

Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on the trunk of the tree, 5 feet above the ground. They will tie each section of the rope to a stake in the ground 12 feet out from the base of the tree. How much rope will he need altogether?

Answers

Answer:

39 ft

Step-by-step explanation:

Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.

Pythagorean theorem: $a^(2) +b^(2) = c^(2)$ .... which a and b are the two sides while x is the diagonal.

$5^(2) +12^(2) = x^(2)$

$25 + 144 = x^(2)$

$169 = x^(2)$ ... now we square root both sides

$13 = x$

Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.

13 * 3 = 39 ft

What is the solution of the equation? 3 = b + 3
a. 1
b. 6
c. 9
d. 0

Answers

If you would like to know what is the solution of the equation 3 = b + 3, you can calculate this using the following steps:

3 = b + 3
b = 3 - 3
b = 0

The correct result would be d. 0.

$3 = b + 3$

Subtract 3 on both sides.

$3 = b + 3\n3-3= b+3-3\n3-3 = b\n\n0 = b\n\n\n\boxed{\bf{b=0}}$

Your final answer is d. 0.

What is the domain and range of the following? (1,5) (-2,4) (-3,0) (-6,2)

Answers

Domain: {1, -2, -3, -6}

Range: {5, 4, 0, 2}

im not 100% sure but Im pretty sure it’s that

I know someone answered but I’m going to say why the answer is the answer.

When it is asking for the domains it is asking for the x values. (1, -2, -3, -6)

When it is asking for the ranges it is asking for the y values. (5, 4, 0, 2)

Hope this helped :)

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