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Bezzdna [24]
3 years ago
12

A student measures the volume of a rubber stopper and finds that it is 36ml. The

Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:

the answer should be 5 I guess

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A pair of shorts are £15 in a 40%. What was the non-sale price
lana66690 [7]

Answer:

£10.71

Step-by-step explanation:

Given the original price including discount od shorts = £15

Percent discount = 40%

Original price = x

Using the expression to calculate x

x + (40%of x) = 15

x +0.4x = 15

1.4x = 15

x = 15/1.4

x = £10.71

Hence the non sale price is £10.71

4 0
3 years ago
Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,
torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

y=6x^2+14x

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

\frac{dy}{dx}=12x+14

We know that length of curve

s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx

We have a=-2 and b=1

Using the formula

Length of curve=s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

dt=12dx

dx=\frac{1}{12}dt

Length of curve=s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt

We know that

\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C

By using the formula

Length of curve=s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})

Length of curve=s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})

Length of curve=s=32.66

5 0
3 years ago
Directions: Simplify the following monomials.SHOW THE STEPS!
Pavel [41]

Answer:

I hope you enjoy it if you have any questions ask me

4 0
2 years ago
Read 2 more answers
What is the rule for the pattern 3 12 6 24 12 48 24
schepotkina [342]

Multiply by 4 is your rule

3 x 4 = 12

6 x 4 = 24

12 x 4 = 48

To solve for the answer for 24, multiply it by 4

24 x 4 = 96

96 is the match for 24

hope this helps

8 0
3 years ago
Read 2 more answers
Write 7.75 x 10^-3 in standard notation​
Natasha_Volkova [10]

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.75 × 10^−3

4 0
3 years ago
Read 2 more answers
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