MATHEMATICS HIGH SCHOOL

Estimating square root of 58

Answers

Answer 1

Answer:

Answer:

7.616

Step-by-step explanation:

Hope this helps.

Answer 2

Answer:

Answer:

7.61

Step-by-step explanation:

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What is the indefinite integral of 6sin(3t) dt?

Answers

Answer:

$\displaystyle \int {6sin(3t)} \, dt = -2cos(3t) + C$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals
[Indefinite Integrals] Integration Constant C

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \int {6sin(3t)} \, dt$

Step 2: Integrate Pt. 1

[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int {6sin(3t)} \, dt = 6\int {sin(3t)} \, dt$

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

Set u: $\displaystyle u = 3t$
[u] Differentiate [Basic Power Rule, Multiplied Constant]: $\displaystyle du = 3 \ dt$

Step 4: integrate Pt. 3

[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int {6sin(3t)} \, dt = 2\int {3sin(3t)} \, dt$
[Integral] U-Substitution: $\displaystyle \int {6sin(3t)} \, dt = 2\int {sin(u)} \, du$
[Integral] Trigonometric Integration: $\displaystyle \int {6sin(3t)} \, dt = -2cos(u) + C$
Back-Substitute: $\displaystyle \int {6sin(3t)} \, dt = -2cos(3t) + C$

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

Unit: Integration

A cashier contains 53 coins worth $4.40 they are all nickels and dimes right to equations that would be used to solve the system and solve

Answers

Answer:

(n+d=53) (.05n+.10d=4.40) :)

Find three ordered pairs for x=9

Answers

Three examples are (9, 1), (9, -5), and (9, 3.2).

2. Which of the following is contained in the solution for theinequality 5x < 3(x + 2) + 2 ? Justify your answer for full credit.
A.
4
C. 7
B.
2
D.
15

Answers

The answer should be D

X>- 16/3
I used the calculator

If the sales tax is 6% and the purchase price is $271, what is the amount of tax?

Answers

do .06 x 271= 16.26 and add 271+16.26.. you should get 287.26

$100\%-price\ without\ tax\n100\%+6\%=106\%-price\ with\ tax\n\n271=106\%x\n271=1.06x\ \ \ \ \ |:1.06\nx=255.66\n\n271-255.66=15.34\n\n\nTax\ is\ equal\ \$15.34$

The price of one share of a company declined $3.50 per day for 4 days in a row. What is the overall change in the price of one share?

Answers

Answer:

$3.50

Step-by-step explanation:

"per" means that that is the unit rate

(yes, I meant to say that that)

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