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3 years ago

Why must the base of an exponential function be positive?

Mathematics

1 answer:

ivolga24 [154]3 years ago

7 0

Answer:

Because we only work with positive bases, bx is always positive.

Step-by-step explanation:

The values of f(x), therefore, are either always positive or always negative, depending on the sign of a. Smaller values of b lead to faster rates of decay.

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Please help me with question 8 and part 1

larisa [96]

Answer:

m∠B = 95°

Scalene

Step-by-step explanation:

by definition, internal angles in a triangle must add up to 180°

in this case,

∠A + ∠B + ∠C = 180°

we are given ∠C = 55° and ∠A = 30°

30° + ∠B + 55° = 180°

∠B = 180 - 55 - 30 = 95° (Answer)

We can see that all 3 angles of the triangle are different. And hence we can conclude that all 3 sides of the triangle are different length (i.e it is not equilateral or isosceles). Hence it is a scalene triangle.

5 0

3 years ago

Solve 13+x>11. Enter your answer as an equality

Wittaler [7]

Answer:

x>-2

Step-by-step explanation:

13+x>11

Subtract 13 from each side

13-13+x>11-13

x>-2

5 0

3 years ago

Brainliest Brainliest Brainliest

Paladinen [302]

Answer:

2.5 times z = 10, or 2.5z = 10

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Can somebody please help me !!!!!!!!!47$4&

Andrews [41]

Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

5 0

2 years ago

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A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn

loris [4]

Answer:

95 percent confidence interval for μ is determined by

(60.688 , 69.312)

a) be the same

Step-by-step explanation:

Step (i):-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (ii) :-

Given The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (iii):-

95 percent confidence interval for μ is determined by

$(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )$

$(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )$

(65 - 4.312 ,65 +4.312)

(60.688 , 69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

Conclusion:-

it become same as (61.08, 68.92)

4 0

3 years ago