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vlada-n [284]
3 years ago
6

What value of s makes the equation true? 14s−4−23s=5

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0
S= -1 would make the equation true. Work is shown in the picture
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Find f(-2) for f(x) = 2(4)x . will give brainliest for correct answer ​
Serhud [2]

Answer:

D

Step-by-step explanation:

This questions asks use to find what f(x) or y is, when x is equal to -2.

So, substitute -2 in for x in the equation.

f(x)=2(4)^x

f(-2)=2(4)^-2

Evaluate the exponent. Negative exponents follow this rule:

b^-x= 1/b^x

We have 4^-2. This will become 1/4^2 or 1/16

f(-2)=2(1/16)

Multiply

f(-2)=2/16

This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.

f(-2)=2/2 / 16/2

f(-2)= 1/8

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3 years ago
The side of rhombus is 14 in. The obtuse angle is 160º. Find the longer diagonal of the rhombus.
Mandarinka [93]

Answer:

x = 27.57 in to the nearest hundredth.

Step-by-step explanation:

The longer diagonal  is opposite the obtuse angle.

Also as it is a rhombus all sides = 14 in.

Use the Cosine Rule:

x^2 = 14^2 + 14^2 - 2*14^2 cos 160

x^2 =  760.36

x = sqrt 760.36

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3 years ago
Given sin thata = 2/5 and 0° < thata < 90°. find sin 2 thata​
Andrej [43]

Recall the double angle identity:

\sin2\theta=2\sin\theta\cos\theta

With \theta measuring between 0º and 90º, we know \cos\theta>0. So from the Pythagorean identity, we get

\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5

Then

\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}

5 0
3 years ago
You have 16 socks in your drawer. 4 are black, 6 are white, 4 are blue, and 2 are gray. Suppose you randomly choose a sock, repl
Alinara [238K]

Answer:

11/32

Step-by-step explanation:

4/16 + 2/16 - 1/32

simplify and solve

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3 years ago
I WILL MARK BRAINIEST IF ANSWERED RIGHT AND ASAP AND YOU WILL GET MEGA POINTS WHICH IS 99 POINTS!
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