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ira [324]
3 years ago
10

Please help, last two questions.

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0
First problem.
The function is f(x) = 3^x.
The base, b, is 3 since 3 is raised to power x.
The question is what value of x used in 3^x makes the expression 3^x equal to 3?
Look at the graph, and find the point that has y-value 3.
Which x-value does that point have?
The point is (1, 3), and the x-value is 1.

Second question.
The question is similar to the question above using a different exponential function.
(1/4)^1 = 1/4, so the answer is x = 1
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Which statements are true about the trigonometric ratios of this triangle​
rosijanka [135]

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(30°) = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

sin(30°) = \frac{BC}{AB}

             = \frac{11}{22}

             = \frac{1}{2}

cos(60°) = \frac{BC}{AB}

              = \frac{11}{22}

              = \frac{1}{2}

sin(60°) = = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

Options (1), (2), (3) and (4) are the correct options.

3 0
3 years ago
The temperature is -2°C. If the temperature rises by 15°C, what is the new temperature?
Furkat [3]

Answer:

13 C

Step-by-step explanation:

15-2=13

8 0
3 years ago
The probability that a student pilot passes the written test for a private pilot's license is 0.7. what is the probability that
zhenek [66]
<span>Probability = 0.063 Fourth try = 0.0973 Let X be the number of failed attempts at passing the test before the student passes. This is a negative binomial or geometric variable with x â {0, 1, 2, 3, . . .}, p = P(success) = 0.7 and the number of successes to to observe r = 1. Thus the pmf is nb(x; 1, p) = (1 â’ p) xp. The probability P that the student passes on the third try means that there were x = 2 failed attempts or P = nb(2, ; 1, .7) = (.3)2 (.7) = 0.063 . The probability that the student passes before the third try is that there were two or fewer failed attmpts, so P = P(X ≤ 2) = nb(0, ; 1, .7) + nb(1, ; 1, .7) + nb(2, ; 1, .7) = (.3)0 (.7) + (.3)1 (.7) + (.3)2 (.7) = 0.973 .</span>
4 0
4 years ago
Can u pls help me with this question ​
AleksandrR [38]

Answer:

Step-by-step explanation:

5.5 * (12) - 8.35 * (4) = 66 - 33.4

                                 = 32.6

the bottom part is the same thing

3 0
3 years ago
Please help with this question
tankabanditka [31]

Answer:

Slope = 4

Step-by-step explanation:

Hope this helps!

:)

:)

:)

<3

-Josh

5 0
3 years ago
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