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makvit [3.9K]
2 years ago
6

Find the simplified product 2 square root 5x^3(-3 square root 10x^2

Mathematics
1 answer:
Ivanshal [37]2 years ago
5 0

The simplified product of 2\sqrt{5x^{3} } and -3\sqrt{10x^{2} } is -30x^{5/2} \sqrt{2}.

Given Two expressions: -3\sqrt{10x^{2} } and 2\sqrt{5x^{3} }.

We have to multiply both the expressions and it can be done as under:

-3\sqrt{10x^{2} } *2\sqrt{5x^{3} }

Firstly we have to multiply -3 with 2 to get

=-6\sqrt{10x^{2} }\sqrt{5x^{3} }

Then we have to find square root of x cube and x square which is x to the power 3/2 and x to the power 1.

=-6x^{3/2} x\sqrt{10}\sqrt{5}

Now we have to multiply both the numbers in the root to get the answer;

=-6x^{5/2} \sqrt{50}

Square root of 50 is 5 root 2.

=-6*5\sqrt{2}x^{5/2}

=-30\sqrt{2}x^{5/2}

Hence the simplified product is -30\sqrt{2}x^{5/2}.

Learn more about product here brainly.com/question/10873737

#SPJ10

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Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took
jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

=============================================

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b =  -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

3 0
2 years ago
F) The marked price of a radio is 25 % above the selling price and the cost pr
Ostrovityanka [42]

Answer:

See explanation below.

Step-by-step explanation:

Let's say, x represents the sale price of radio.

Then the marked price of the radio is 1.25x

The cost price of the radio is (1.25x)(0.70)

The discount is simply 25% because the radio is being sold at 25% less then the marked price.

The gain percent is given as:

\frac{x-1.25x\times \:0.70}{x}\times 100\\\\=12.5\%

The radio is being sold at 12.5% gain.

Best Regards!

8 0
3 years ago
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MAXImum [283]

Answer:

uh. the answer to this is

8 0
2 years ago
Read 2 more answers
Is the point (16,20) on line ℓ?<br><br><br>​
kicyunya [14]

Answer:

YES

Step-by-step explanation:

Find the equation of the line written as, y = kx. The graph shows a proportional relationship between y and x.

Constant of proportionality/unit rate/slope (k) = rise/run = ⁵/4.

Substitute ⁵/4 in y = kx

We would have:

y = ⁵/4x.

Using the equation of the line, we can know if a given point is on the line by plugging the value of x and y coordinates of the point into the equation. If it makes the equation true, then it is a point on the line. If it doesn't make the equation true, then it isn't a point on the line.

Let's plug in (16, 20) into y = ⁵/4x.

Thus substitute x = 16 and y = 20, we have:

[tex] 20 = \frac{5}{4}(16) [/trex]

[tex] 20 = (5)(4) [/trex]

[tex] 20 = 20 [/trex]

It makes the equation true. Therefore, the point, (16, 20) is a point on line l.

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2 years ago
Which of the following is NOT a way to determine if a piece of art is a reproduction or an original?
sergij07 [2.7K]

Answer:

its either family history or morellian analysis , im not sure

Step-by-step explanation:

3 0
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