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3 years ago

Slope 8 ; through (4,3)

1 answer:

3 0

I'm assuming you need to find the equation of that line. If that's not what you need, you can stop here, because that's what I'm going to calculate.

When we're working with the equation of a line, we know it's easy to work with if it's in the form of a "slope / intercept" equation.

That's Y = (slope) · x + (y-axis intercept)

We already know the slope of this line, because the question gave it to us. The slope is ' 8 ' . So we know the equation will be Y = 8x + (y-intercept) .

OK. We also know a point on the line ... (4, 3).

That tells us: When x=4 on this line, y=3 .

Take the equation, and put this point into it.

Y = 8x + (y-intercept)

(3) = 8(4) + y-intercept

3 = 32 + y-intercept

Subtract 32 from each side:

-29 = y-intercept

So the equation of the line is: Y = 8x - 29

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Find the sample size necessary in order to be 95% confident when determining the true mean weight within 2 units (EC2). Assume t

bogdanovich [222]

Answer:

Step-by-step explanation:

Given:

Margin of error (E) = 2

Sample variance $(s^{2})$ = 44

Confidence level = 95%

The z- value at 95% confidence level is 1.96.

The sample using the provided information can be calculated as:

$n=(\frac{z(s)}{E})^{2} \\n=\frac{z^{2} s^{2} }{E^{2} } \\n=\frac{1.96^{2} (44) }{2^{2} }\\n= 42.52\\n=43$

Hence, the correct option is (c) 43.

8 0

3 years ago

Find two consecutive odd integers whose product is 323

Harrizon [31]

Use a let statement
first
let x and x + 2 be the number so you write it like this
let x = the first consecutive integer
let x + 2 = the second consecutive integer

second
x(x+2)=323
x^2 + 2x = 323
-323 -323
x^2 + 2x -323 = 0

third
try to factor -323 so it is 19 and -17
(x + 19) (x - 17) = 0
x = 19
x = -17

hope this help

4 0

3 years ago

Greater than or less than the base?

yarga [219]

Answer:

I think grater then?

Step-by-step explanation:

4 0

3 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

3 years ago

Which net represents the figure. Plz help meeeeeeeee

Goshia [24]

The fourth graph or D (the one in the bottom right corner) this is because a pyramid consists of four triangles and one square at the bottom.

Correct me if wrong
Have a nice day :D
~Hackermcpe

3 0

3 years ago

Read 2 more answers

Slope 8 ​; through ​(4​,3​)

Slope 8 ; through (4,3)