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2 years ago

John spent half of his weekly allowance

Mathematics

1 answer:

Citrus2011 [14]2 years ago

5 0

Answer:

Step-by-step explanation:

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At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.? A. 2 B.

svet-max [94.6K]

Answer: C. 8

At 10:15 a.m., there are 8 cells in the bottle.

Step-by-step explanation:

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3 years ago

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What is the value of cosθ given that (−2, −3) is a point on the terminal side of θ ?

snow_tiger [21]

Answer:

-0.555

Step-by-step explanation:

The terminal point of the vector in this problem is

(-2,-3)

So, it is in the 3rd quadrant.

We want to find the angle $\theta$ that gives the direction of this vector.

We can write the components of the vector along the x- and y- direction as:

$v_x = -2\\v_y = -3$

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

$tan \theta = \frac{v_y}{v_x}=\frac{-3}{-2}=1.5\\\theta=tan^{-1}(1.5)=56.3^{\circ}$

However, since we are in the 3rd quadrant, the actual angle is:

$\theta=180^{\circ} + 56.3^{\circ} = 236.3^{\circ}$

So now we can find the cosine of the angle, which will be negative:

$cos \theta = cos(236.3^{\circ})=-0.555$

7 0

2 years ago

If x = –3, then x2 – 2x + 1 = ?

alukav5142 [94]

Since I just realized that you meant x^2-2x+1, let me evaluate this step by step:

x^2-2x+1
((-3)^2)-(2(-3))+1
9-(-6)+1
9+6+1
16

Therefore, that would equal 16.

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2 years ago

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a model of a house has been drawn on a coordinate grid. one corner of the house has been drawn at (6, 3). the drawing will be tr

Korvikt [17]

Answer:

(9, 1)

Step-by-step explanation:

6+3, 3-2

3 0

2 years ago

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Solve quadratic inequality x^2+4x≥0

klemol [59]

Answer:

Step-by-step explanation:

y = x² + 4x is an up-opening parabola with x-intercepts 0 and -4.

y ≥ 0 when x≤-4 or x≥0

range: (-∞,-4)∪[0,+∞)

7 0

2 years ago