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2 years ago

find the greatest number that exactly divide 16 and 24. ind the ornatost number that diido 20 and 20 min

Mathematics

1 answer:

laila [671]2 years ago

6 0

Step-by-step explanation:

The greatest common factor (GCF) is the largest common factor that the numbers share. Here, 8 is the largest common factor of 16 and 24. So the GCF of 16 and 24 is 8.

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3 years ago

a law firm charges $100 per hour plus a $300 origination fee for its services find a function notation

Kisachek [45]

F(t)= $100 x h + 300 A reasonable domain is (1,2,3) and the range is ($400,$500,$600)

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3 years ago

The number of text messages sent daily by a student is a poisson random variable with parameter λ=5 .in a class with 20 independ

Rudik [331]

This problem is a combination of the Poisson distribution and binomial distribution.

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P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961

For ALL 20 students to send less than 6 messages, the probability is
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=6.18101*10^(-5) or approximately
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3 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1)

vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

$x^{\frac{2}{3}}+y^{\frac{2}{3}}=4$

We have to find the equation of tangent line to the given curve at point $(-3\sqrt3,1)$

By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

$\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=-\frac{2}{3}x^{-\frac{1}{3}}$

$\frac{dy}{dx}=\frac{-\frac{2}{3}x^{-\frac{1}{3}}}{\frac{2}{3}y^{-\frac{1}{3}}}$

$\frac{dy}{dx}=-\frac{x^{-\frac{1}{3}}}{y^{-\frac{1}{3}}}$

Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

$\frac{dy}{dx}=-(-3^{\frac{3}{2}})^{-\frac{1}{3}}=-\frac{1}{-(3)^{\frac{3}{2}\times \frac{1}{3}}}=\frac{1}{\sqrt3}$

Slope of tangent=m= $\frac{1}{\sqrt3}$

Equation of tangent line with slope m and passing through the point $(x_1,y_1)$ is given by

$y-y_1=m(x-x_1)$

Substitute the values then we get

The equation of tangent line is given by

$y-1=\frac{1}{\sqrt3}(x+3\sqrt3)$

$y-1=\frac{x}{\sqrt3}+3$

$y=\frac{x}{\sqrt3}+3+1$

$y=\frac{x}{\sqrt3}+4$

This is required equation of tangent line to the given curve at given point.

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3 years ago

A shopkeeper bought 775 kg of wheat . He wants to divide all the wheat into 8 bags of the same size. How much Wheat Can he store

Arturiano [62]

In order to calculate how much wheat will be stored in each bag, let's divide the total amount of wheat by the number of bags:

$\frac{775}{8}=96.875$

Assuming that the amount of wheat each bag can hold is a whole number, so each bag can hold 96 kg (otherwise, each bag would hold 96.875 kg and there would be no wheat left).

Then, to find how much wheat will be left, let's calculate how much the 8 bags will hold, and then we subtract this value from the total:

$\begin{gathered} 96\cdot8=768 \\ \\ 775-768=7 \end{gathered}$

So there will be 7 kg left.

6 0

1 year ago

find the greatest number that exactly divide 16 and 24. ind the ornatost number that diido 20 and 20 min​

find the greatest number that exactly divide 16 and 24. ind the ornatost number that diido 20 and 20 min