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2 years ago

Evaluate the function g(t)=23t, when t = 30.

Mathematics

1 answer:

Mademuasel [1]2 years ago

7 0

The best answer would be be C.20

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Evaluate −x^2−5 y^3 when x = 4 and y = 1

Natali [406]

Answer:

Simplify:

$-4^2-5(1^3)$

So you get:

$-21\\$

4 0

3 years ago

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A lighthouse operator sights a sailboat at an angle of depression of 12 degrees. If the sailboat is 80m away, how tall is the li

mart [117]

Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.

Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h

In short,
adjacent = 80
opposite = h

We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below

So the lighthouse is roughly 17.0045249336018 meters tall

Answer: 17.0045249336018

Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to

4 0

3 years ago

The graph of a quadratic function intercepts the x-axis in the two places and the y-axis in one place.

wolverine [178]

Correct Answer:
Option 3: The quadratic function has two distinct real zeros.

The function is quadratic, therefore it can have only 2 zeros. The knowledge of x-intercepts is needed to determine the zeros, y-intercepts has nothing to do with the zeros of a function. The given function has 2 unique x-intercepts, so according to the fundamental theorem of algebra, this function has 2 distinct real roots as number of distinct real roots are equal to the number of x-intercepts. Therefore, option 3 is the correct answer.

4 0

3 years ago

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I need help ASAP PLEASEEE!

sergeinik [125]

Answer:

The fourth number line is the answer.

Step-by-step explanation:

$- 18 > - 5x + 2 \geqslant - 48 \\ ( - 18 - 2) > - 5x \geqslant ( - 48 - 2) \\ - 20 > - 5x \geqslant - 50 \\ \\ \frac{ - 20}{ - 5} > x \geqslant \frac{ - 50}{ - 5} \\ \\ 4 > x \geqslant 10$

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2 years ago

Which graph represents the solution set of the compound inequality -4≤3x-1 and 2x+4≤18?

Bond [772]

Answer:

can you put the pic of the graph plzz

Step-by-step explanation:

thx

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3 years ago

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