How do u simplify 5(2x-3)

The measurenicnt of the circumference of a circle is found to be 56 centimeters. The possible error in measuring the circumferen

BartSMP [9]

Answer:

(a) Approximate the percent error in computing the area of the circle: 4.5%

(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm

Step-by-step explanation:

(a)

First we need to calculate the radius from the circumference:

$c=2\pi r\\r=\frac{c}{2\pi } \\c=8.9 cm$

I leave only one decimal as we need to keep significative figures

Now we proceed to calculate the error for the radius:

$\Delta r=\frac{dt}{dc} \Delta c\\\\\frac{dt}{dc} = \frac{1}{2 \pi } \\\\\Delta r=\frac{1}{2 \pi } (1.2)\\\\\Delta r= 0.2 cm$

$r = 8.9 \pm 0.2 cm$

Again only one decimal because the significative figures

Now that we have the radius, we can calculate the area and the error:

$A=\pi r^{2}\\A=249 cm^{2}$

Then we calculate the error:

$\Delta A= (\frac{dA}{dr} ) \Delta r\\\\\Delta A= 2\pi r \Delta r\\\\\Delta A= 11.2 cm^{2}$

$A=249 \pm 11.2 cm^{2}$

Now we proceed to calculate the percent error:

$\%e =\frac{\Delta A}{A} *100\\\\\%e =\frac{11.2}{249} *100\\\\\%e =4.5\%$

(b)

With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

$\%e =\frac{\Delta A}{A} *100\\\\3\%=\frac{\Delta A}{249} *100\\\\\Delta A =7.5 cm^{2}$

Now we calculate the error for the radius:

$\Delta r= \frac{\Delta A}{2 \pi r}\\\\\Delta r= \frac{7.5}{2 \pi 8.9}\\\\\Delta r= 0.1 cm$

Now we proceed with the error for the circumference:

$\Delta c= \frac{\Delta r}{\frac{1}{2\pi }} = 2\pi \Delta r\\\\\Delta c= 2\pi 0.1\\\\\Delta c= 0.6 cm$

5 0

4 years ago

A grocery store recently sold 10 cartons of yogurt, of which 5 were raspberry. What is the experimental probability that the nex

Greeley [361]

Answer:

mijuhygtfr

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

You are taking an exam and there are still many questions left to be solved. You already got 18 questions correct out of 25. The

UkoKoshka [18]

The answer is 2

Step-by-step explanation: 100% is the highest score you can have . then you have to divide 25 by 100 because 25 is the total amount of questions ,you should get 4,wich means each question is worth 4 points.

18 correct is a score of 72

20 correct is a score of 80

4x2=8 wich you need 8 more to get to 80 from 72

feel free to ask for more help :)

8 0

4 years ago

Which algebraic expression is a polynomial with a degree of 3?

Irina18 [472]

Option a: $4x^{3} -\frac{2}{x}$

Option b: $2y^{3} +5y^{2} -5y$

Option c: $3y^{3} -\sqrt{4y}$

Explanation:

The highest degree of a polynomial is the largest exponent of that variable.

Now, we shall determine the polynomial with degree 3.

Option a: $4x^{3} -\frac{2}{x}$

From the expression $4x^{3} -\frac{2}{x}$ , the highest degree of the polynomial is 3.

Hence, $4x^{3} -\frac{2}{x}$ is a polynomial with a degree of 3.

Hence, Option a is the correct answer.

Option b: $2y^{3} +5y^{2} -5y$

From the expression $2y^{3} +5y^{2} -5y$ , the highest degree of the polynomial is 3.

Hence, $2y^{3} +5y^{2} -5y$ is a polynomial with a degree of 3.

Hence, Option b is the correct answer.

Option c: $3y^{3} -\sqrt{4y}$

From the expression $3y^{3} -\sqrt{4y}$ , the highest degree of the polynomial is 3.

Hence, $3y^{3} -\sqrt{4y}$ is a polynomial with a degree of 3.

Hence, Option c is the correct answer.

Option d: $-xy\sqrt{6}$

From the expression $-xy\sqrt{6}$ , the highest degree of the polynomial is 1.

Hence, $-xy\sqrt{6}$ is a polynomial with degree 1.

Hence, Option d is not the correct answer.

5 0

4 years ago

Read 2 more answers

Point F is on line segment \overline{EG}

Dovator [93]

Answer:

EG = 13

Step-by-step explanation:

EG = EF + FG

EG = 4+ 9 = 13

5 0

3 years ago