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3 years ago

15

Your favorite baseball player is doing much better this year than he did last year. Last year he got 5656 hits. This year he has

33 times as many hits. How many hits does he have this year?

2 answers:

elena-14-01-66 [18.8K]3 years ago

7 0

Answer:

168 hits

Step-by-step explanation:

Lostsunrise [7]3 years ago

6 0

I believe the answer is 186,648.

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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

Christopher bought a new watch at the store when they were having a 20\%20% off sale. If the regular price of the watch was \$48

Aleonysh [2.5K]

Answer:

38.4

Step-by-step explanation:

48*20%=9.6 48-9.6=38.4

7 0

3 years ago

Calculate the value of (6.72 10^5)+ (3.2 x 10^4)<br> Give your answer in standard form.

dangina [55]

Answer:

$7.04\cdot 10^{5}$ <em>or 704,000</em>

Step-by-step explanation:

<u>Standard Form of Numbers</u>

Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.

We'll give here both answers.

We have to calculate:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}$

Since the numbers don't have the same exponent, we must make them equal. Let's make the second number have an exponent of 5, by dividing by 10:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+3.2/10\cdot 10^{5}$

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+0.32\cdot 10^{5}$

Now we add:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04\cdot 10^{5}$

It's correctly expressed in scientific notation. Now to convert to 'standard form', multiply by $10^5=100,000$ :

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04*100,000=704,000$

7 0

3 years ago

Find the volume of cylinder<br> Diameter of base is 11 cm<br> Height of cylinder is 16cm

just olya [345]

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

= 5.5cm

Volume = π × 5.5² × 16

=1520.5cm³

3 0

3 years ago

Which is the union of the two sets D= {0, 10, 12, 18, 19} and E= {18, 19}

Cloud [144]

Answer:

DUE= {0,10,12,18,19}

Step-by-step explanation:

The union of two sets is a set which contains all the elements of both the sets. thus DUE= {0,10,12,18,19}

5 0

4 years ago