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Vikentia [17]
3 years ago
13

Please help with this

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

33.3 pounds

Step-by-step explanation:

Alright, so if she made a 100 percent on the gloves, then she sold them for 8 dollars, because 4 + 1.00(4) = 8.

48 - 8 = 40

She sold the skirt for 40 dollars, and if that's at a 20 percent profit, then we can do a proportion

\frac{40}{1.20} = \frac{x}{1.00}

If we solve for x, we figure out that x = 33.33333 repeating.

So out answer to the nearest decimal place is 33.3 pounds

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Given f(x)=-2x^3 + 3x^2 , find the equation of that tangent line of f at the point where x=2.
trapecia [35]

Step 1: Find f'(x):

f'(x) = -6x^2 + 6x

Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:

f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12

Step 3: Find f(2), so you have a point on y=f(x):

f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4

So, you have the point (2,-4) and the slope of -12.

Step 4: Find the equation of your tangent line:

Using point-slope form you'd have: y + 4 = -12 (x - 2)

That is the equation of the tangent line.

If your teacher is picky and wants slope-intercept, solve that for y to get:

y = -12 x + 20

5 0
3 years ago
Help please and fast!​
Brilliant_brown [7]

= [3x3^-2x(-2)^6/2x3^-1x(-2)^5]^2 = 1

6 0
3 years ago
Read 2 more answers
what is the slope of the picture (if this is super easy, the reason I asked this question is that my brain is working horrible t
Sedaia [141]

Answer:3/2 or 1.5

Step-by-step explanation:

(9-6)/(3-1)=

3/2

7 0
3 years ago
Prove tan(θ / 2) = sin θ / (1 + cos θ) for θ in quadrant 1 .
Leona [35]
We are asked to prove tan(θ / 2) = sin θ / (1 + cos θ). In this case, tan θ is equal to sin θ / cos θ. we can apply this to the equality. sin θ is equal to square root of (1-cos θ)/2 while cos θ is equal to <span>square root of (1 + cos θ)/2.
Hence, when we replace cos </span><span>θ with </span>square root of (1-cos θ)/2, we can prove already.
3 0
3 years ago
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In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently
Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Each resident randomly chooses one of the two plumbers.

This means that p = \frac{1}{2} = 0.5

Three residents:

This means that n = 3

What is the probability that all three residents will choose the same plumb

This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

p = P(X = 0) + P(X = 3) = 2*0.125 = 0.25

25% probability that all three residents will choose the same plumbe

4 0
3 years ago
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