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3 years ago

Answers plz I need help really badly

Mathematics

2 answers:

sattari [20]3 years ago

8 0

8. 55/12 and 9 is 7
have a good day

topjm [15]3 years ago

8 0

Number 8 is 4.5833 I double checked

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Evaluate 6²-7²+8²-9²+..+998²-999²

Llana [10]

Answer:

-499,485.

Step-by-step explanation:

We can transform this to an arithmetic series by working it out in pairs:

6^2 - 7^2 = (6-7)(6+7) = -13

8^2 - 9^2 = (8-9)*8+9) = -17

10^2 - 11^2 = -1 * 21 = -21 and so on

The common difference is -4.

The number of terms in this series is (998 - 6) / 2 + 1

= 992/2 + 1 = 497.

Sum of n terms of an A.S:

= n/2 [2a1 + (n - 1)d

Here a1 = -13, n = 497, d = -4:

Sum = (497/2)[-26 - 4(497-1)]

= 497/2 * -2010

= -499,485.

3 0

3 years ago

Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

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

Unit: Derivatives

Book: College Calculus 10e

6 0

3 years ago

Zinc has a density of 0.258 lb/in³ (pounds per cubic inch).

Gemiola [76]

Why don’t you round the last answer

8 0

3 years ago

Read 2 more answers

Please this is overdue

andre [41]

P=12

A=15

brainiest plizz?

3 0

2 years ago

Read 2 more answers

Could some one plz help me with this question

zhuklara [117]

Answer:

Step-by-step explanation:

The formula for this type of interest is $A=P(1+\frac{r}{n})^{nt}$ , where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

$A=1800(1+\frac{0.025}{2})^{2\cdot 12}=$

$1800(1.0125)^{24}\approx 2425.23$

Now, she invests this into a new account, and you can set up the following equation:

$A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=$

$2425.23(1.0033333)^{84}\approx 3207.40$ , or option A.

Hope this helps!

3 0

3 years ago