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dalvyx [7]
3 years ago
13

Irene thinks she has space for a 45-inch wide bookcase.it turns out that she only has space for a 40 inch wide bookcase.what is

the present error in Irene’s measurement
Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0
Answer: Apply the percent error formula:
(Experimental-Theoretical)/Theoretical
(45-40)/40
The percent error of her measurement was 12.5%
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Please solve i and ii for me
KengaRu [80]

If you know the derivative f'(x) of some function f(x), you can tell exactly who f(x) is, up to an additive, constant term. In fact, knowing f'(x), you have

\displaystyle \int f'(x) = f(x)+c

In your case, we have

\dfrac{d}{dx} \sqrt{x+3} = \dfrac{1}{2\sqrt{x+3}}

So, the integral is almost immediate:

\displaystyle\int \dfrac{2}{\sqrt{x+3}} = \int \dfrac{4}{2\sqrt{x+3}} = 4\int\dfrac{1}{2\sqrt{x+3}} = 4\sqrt{x+3}+c

So, up to some constant additive term, our function is 4\sqrt{x+3}+c

To fix this constant, we know that the function passes through the point (6,10), so we have

f(6) = 4\sqrt{6+3}+c = 4\sqrt{9}+c=12+c=10 \iff c=-2

And so our function is 4\sqrt{x+3}-2

If we want to know when this function equals 6, we simply have to ask f(x)=6 and solve for x, so we have

4\sqrt{x+3}-2=6 \iff 4\sqrt{x+3} = 8 \iff \sqrt{x+3} = 2 \iff x+3=4 \iff x = 1

5 0
3 years ago
The girls and boys' basketball teams sponsored a car wash that made $109. There were twice as many girls as
V125BC [204]

Answer:

Boys - 36$ 33 cents

Girls - 72$ 67 cents

Step-by-step explanation:

Boys x

Girls 2x

Total 109

2x+x=109

3x=109/:3

X=36,3333

Boys x =36$ 33c

Girls 2x= 72,666= 72$ 67c

7 0
3 years ago
Simplify the expression. (2x^5)^4
Jlenok [28]

Answer:

16 x^20

Step-by-step explanation:

Simplify the following:

(2 x^5)^4

Multiply each exponent in 2 x^5 by 4:

2^4 x^(4×5)

4×5 = 20:

2^4 x^20

2^4 = (2^2)^2:

(2^2)^2 x^20

2^2 = 4:

4^2 x^20

4^2 = 16:

Answer: 16 x^20

6 0
4 years ago
A study showed that the ratio of the number of people who get their news from social media to the number of people who their new
zhenek [66]

Answer: 270 people

Step-by-step explanation:

The ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7.

This shows that the number of people who get their news from social media is 3 out of 10 i.e (3+7).

Therefore, the number of people in a town of 900 people that get their news from social media will be:

= 3/10 × 900

= 270 people.

7 0
3 years ago
Read 2 more answers
What is the solution to this system of linear equations?
Molodets [167]

Answer:

(-1,3)

Step-by-step explanation:

Start with combining the two equations.

2x + 3x = 5x

y-y=0

1-6=5

so the equation is now:

5x=-5

now divide the left side to the right, only the number though not the variable. so no it is. x=-1.

Well. the normal coordinate is (x,y).

Right now we have (-1,y)

We now just need to find the Y. To do that:

1) plug the value of x back into any equation. the bottom or top. (DO NOT COMBINE THE EQUATIONS NOW)

so you have 2x + y =1

(insert value) 2(-1) + y = 1

the equation is now -2 + y = 1

add 2 to both sides to have y by itself

y = 3.

so your final answer is (-1,3)

7 0
3 years ago
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