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3 years ago

1. Solve each of the following addition and subtraction problems.

Mathematics

1 answer:

balandron [24]3 years ago

5 0

A. 199

b. -71

c. -2.25

d. 30

e. -18

f. -4

g. 4

h. 7

i. 0

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Prove the identity:<br> 2sin(a+b)sin(a-b) = cos(2b)-cos(2a)

Alex777 [14]

Answer:

see below

Step-by-step explanation:

see attached for my workings, step-by-step and the trig identities I used.

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3 years ago

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Work out the value of: (√3)^2

Viktor [21]

Answer:

Step-by-step explanation:

Note that

( $\sqrt{a}$ )² = a, for example

( $\sqrt{100}$ )² = 10² = 100 ← value inside the radical

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( $\sqrt{3}$ )² = 3

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3 years ago

Dany scored 93 in physics, 88 in mathematics, and a score in chemistry that is double his score in geography. The average score

Leno4ka [110]

Answer:

Step-by-step explanation:

Let x be Dany's score in geography. His score in chemistry is double his score in geography and it is equal to

2 x

The average of all four scores is 79. Hence

(93 + 88 + x + 2 x) / 4 = 79

Multiply both sides of the equation by 4

4×(93 + 88 + x + 2 x) / 4 = 4×79

Simplify

93 + 88 + x + 2 x = 316

Group like terms

3 x + 181 = 316

Solve for x

3 x = 135

3 x / 3 = 135 / 3

x = 45

score in geography = x = 45

score in chemistry = 2 x = 2 × 45 = 90

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3 years ago

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Differentiating a Logarithmic Function In Exercise, find the derivative of the function.

sp2606 [1]

Answer:

$\dfrac{d(f(x))}{dx} = \dfrac{2}{x}$

Step-by-step explanation:

We are given the following function in the question:

$f(x) = \ln (3x^2)$

We have to derivate the given function.

Formula:

$\dfrac{d(\ln x)}{dx} = \dfrac{1}{x}\\\\\dfrac{d(x^n)}{dx} = nx^{n-1}$

The derivation takes place in the following manner

$f(x) = \ln (3x^2)\\\\\dfrac{d(f(x))}{dx} = \displaystyle\frac{d(\ln(3x^2))}{dx}\\\\=\frac{1}{3x^2}\times \frac{d(3x^2)}{dx}\\\\= \frac{1}{3x^2}\times (6x)\\\\=\frac{6x}{3x^2}\\\\=\frac{2}{x}$

$\dfrac{d(f(x))}{dx} = \dfrac{2}{x}$

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3 years ago

In a major hurry to finish this I was stuck doin other homework last year please help me finish this

Irina-Kira [14]

2 = m ≤ −9

3 = p ≥ 5

4 = x < -10

5 = b < -10

6 = n < 5

7 = n < 6

8 = r ≤ 4

9 = x ≥ 9

10 = p ≤ 0

11 = x < 1

12 = a > 24

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3 years ago