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3 years ago

HELP PLEASE!! WILL GIVE BRAINLIEST!!!

Mathematics

1 answer:

beks73 [17]3 years ago

7 0

Answer:

Slope = 2 Y-Intercept = (0, 3)

Step-by-step explanation:

Slope : $\frac{Rise}{Run}$ which is $\frac{y2 - y1}{x2 - x1}$ from two points: point1 (x1 , y1) and point2 (x2, y2).

For the purpose of getting the slope I will be using point (0, 3) as point 1

and point (-3, -3) as point 2.

If you plug in 0 as x1, 3 as y2, -3 for x2, and -3 for y2:

$\frac{-3 - 3}{-3 - 0}$ = $\frac{-6}{-3}$ = 2

Y-Intercept: The y intercept is the point where the line is touching the y axis. Which in this graph, there is only point (0,3).

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Step-by-step explanation:

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3 years ago

Find an equation of the plane tangent to the following surface at the given point.z equals tangent Superscript negative 1 Baseli

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Let f(x, y, z) = z - arctan(x y). Compute the gradient of f at the point (0, 3, 0):

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3 years ago

Find the volume generated by the area bounded by the given curves if they are rotated about the y-axis. y=3x^2-x^3, y=0

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67 is the best answer

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4 years ago

A scientist is testing a new antibiotic by applying the antibiotic to a colony of 10,000 bacteria. The number of bacteria decrea

artcher [175]

Answer:

3.3 hours.

Step-by-step explanation:

We have been given that a scientist is testing a new antibiotic by applying the antibiotic to a colony of 10,000 bacteria. The number of bacteria decreases by 75% every two hours.

Since number of bacteria is decreasing exponentially, so we will use exponential decay function.

$y=a*b^x$ , where,

a= Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

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As number of bacteria is decreasing every 2 hours, so number of bacteria decreased in 1 hour will be x/2.

Upon substituting our given values in above formula we will get,

$y=10,000(1-0.75)^{\frac{x}{2}}$

To find the number of hours it will take to for the bacteria colony to decrease to 1000, we will substitute y = 1,000 in our equation.

$1,000=10,000(0.25)^{\frac{x}{2}}$

Let us divide both sides of our equation by 10,000.

$\frac{1,000}{10,000}=\frac{10,000(0.25)^{\frac{x}{2}}}{10,000}$

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Let us take natural log of both sides of our equation.

$ln(0.1)=ln((0.25)^{\frac{x}{2}})$

$ln(0.1)=\frac{x}{2}*ln(0.25)$

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$x=\frac{-2.302585}{-1.386294}*2$

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4 years ago

Can someone pls make me a factor tree of 995- Lower factors go first

Daniel [21]

Answer:

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3 years ago

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