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2 years ago

16

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

6 0

Answer:

c.33.08

Step-by-step explanation:

add all of them together and you get 140.7 divded by 5 and get 33.08

7nadin3 [17]2 years ago

5 0

C because I just know

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Sean is conducting an experiment with an isotope of a particular element that has a half life of 4 hours. He begins with a sampl

Alex Ar [27]

Answer:

/??

Step-by-step explanation:

5 0

2 years ago

a) The curve with equation y2 = x3 + 3x2 is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve a

Neporo4naja [7]

Answer:

Tangent at (1,2) has value $\frac{15}{4}$ . And (-2, 4) is the point of intersection of horizontal tangent.

Step-by-step explanation:

Given curve equation,

$y^2=x^3+3x^2\hfill (1)$

To find tangent at (x,y)=(1,2) and point of intersection of horizontal tangent, differentiate (1) withrespect to x we get,

$2y\frac{dy}{dx}=x^3+3x^2$

$\implies \frac{dy}{dx}=\frac{3(x^2+2x)}{2y}$

At (1, 2), tangent line is,

$\frac{dy}{dx}|_{(1,2)}}=\frac{15}{4}$

To find point of intersection of horizontal tangent we have to do,

$\frac{dy}{dx}=0$

$\implies x(x+2)=0\implies x=0 or -2$

Thus,

At x=0, y=0

but snce,

$\lim_{y\to 0}\frac{dy}{dx}\to \infty$

at (0,0) there exist a vertical tangent. And,

At x=-2, y=4.

Thus (-2, 4) is the point of intersection of horizontal tangent.

6 0

2 years ago

the trinomial x2 bx c factors to (x m)(x n). if b is negative and c is positive, what must be true about m and n?

galina1969 [7]

For c to be positive, and for b to be negative, m must be negative and n must be negative.

X^2 - bx + c = (x - m)(x - n).

c is the product of m and n. If both m and n are positive, c would be positive. However b is the sum of m and n, therefore to make b negative, both m and n must be negative to ensure that the product of m and n is positive

7 0

2 years ago

Read 2 more answers

The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride a

Makovka662 [10]

Answer:

$T=\frac{2}{3}$

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

Step-by-step explanation:

We are given height function as

$h=82.5sin(3\pi(t+0.5))+97.5$

where

h is the height above the ground

t is the time

we can compare it with standard equation

$y=Asin(B(t+C))+D$

Period formula is

$T=\frac{2\pi}{B}$

now, we can compare and find B

$B=3\pi$

we can find period

$T=\frac{2\pi}{3\pi}$

$T=\frac{2}{3}$

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

5 0

2 years ago

The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin

Free_Kalibri [48]

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.03

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03$

$=P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.97$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12$

Thus, 8.17 g separates the top 3% of the weights.

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90$

Thus, 7.90 separates the bottom 3% of the weights.

Thus, the correct answer is

Option D) 7.90 g and 8.12 g

7 0

2 years ago