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3 years ago

Round to the nearest thousandth, Height 8 cm and radius 2cm

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

Answer:

125.660 cm^2

Step-by-step explanation:

Surface area of a right cylinder is A=2πrh+2πr^2

π= 3.14

h= 8 cm

r= 2 cm

A=(2)(3.14)(2)(8) + (2)(3.14)(2)^2

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Find the derivative of ln(cosx²).

RoseWind [281]

Answer:

$\displaystyle \frac{dy}{dx} = -2x \tan (x^2)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = \ln (\cos x^2)$

Step 2: Differentiate

Logarithmic Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}$
Trigonometric Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}$
Basic Power Rule: $\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}$
Rewrite [Trigonometric Identities]: $\displaystyle y' = -2x \tan (x^2)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0

3 years ago

Solve the inequality. 5q + 22-13

kirill115 [55]

Answer:

The answer is 5q + 9.

Step-by-step explanation:

1) Collect like terms.

$5q + (22 - 13)$

2) Simplify.

$5q + 9$

hence, the answer is 5q + 9.

6 0

3 years ago

Bob is having a cookout. He bought 6 gallons of seltzer water. How many full 1-pint servings of seltzer can he pour?

sergejj [24]

Answer:

48 pints

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Of all sixth graders, 70% sent a text message yesterday. Ten trials of a simulation are conducted and the data are recorded belo

Effectus [21]

Answer:

80%

Step-by-step explanation:

According to the given data, the numbers 0 through 6 represent students who sent a text yesterday while the numbers 7 through 9 represent students who did not send a text yesterday.

Based on this key, we will calculate the number of students who sent the text yesterday and the number of students who did not sent the text yesterday.

The given data is: 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511

For each group we will identify how many students sent the text and how many students did not. According to the key, a number from 0 to 6 will be counted as a student who sent the text and a number from 7 to 9 will be counted as a student who did not send the text. Students who did not sent the text are made bold in the groups below.

62072: 4 students sent the text, 1 did not

34570: 4 students sent the text, 1 did not

80983: 2 students sent the text, 3 did not

04292: 4 students sent the text, 1 did not

83150: 4 students sent the text, 1 did not

36330: All 5 students sent the text

96268: 3 students sent the text, 2 did not

14077: 3 students sent the text, 2 did not

77985: 1 student sent the text, 4 did not

13511: All 5 students sent the text

We need to find the probability that 3 or more of a group of 5 students randomly selected will send a text today.

From the given groups, the number of groups where 3 or more students sent a text = 8

This represents our number of favorable or desired outcomes.

Total number of possible outcomes is the total number of groups = 10

Since, probability is defined as the ratio of number of favorable outcomes to total number of outcomes, based on the simulated data the probability that 3 or more of a group of 5 students randomly selected will send a text today will be = $\frac{8}{10}=0.80=80\%$

Thus, based on the simulated data there is 80% probability that 3 or more of a group of 5 students randomly selected will send a text today

5 0

3 years ago

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Write the following word phrases as inequalities: Seven times a number increased by one is at most twelve. If you need these sym

DiKsa [7]

Answer:

7x+1 ≤12

Step-by-step explanation:

The common letter used to represent a variable is x. Thus, a 7 is added to it to signify that it is being multiplied. Then, increased by one means +1. At most is a fancy word for less than or equal to ( ≤).

7 0

3 years ago