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4 years ago

Graph the ellipse with equation x squared divided by nine plus y squared divided by sixteen = 1

Mathematics

2 answers:

Yakvenalex [24]4 years ago

8 0

Here is the picture of the answer above

gladu [14]4 years ago

6 0

X²/9 + y²/16 = 1

The general for mula of an ellipse is:

(x-h)²/a² + (y-k)²/b² = 1. Since h = k = 0, this ellipse
x²/9 + y²/16 = 1
passes by the center O. (Note that a = 3 and b = 4)

Moreover sin b>a so the majore axis is (on the y-axis) and a the minor axis (on the x-axis) [Its shape is as a vertical egg].

On a system of perpendicular axis that intercept in O., take on the x-axis 2 points A & B with respective coordinate A(3.0) and B(-3,0)
On the y-axis your report A'(0,+4) and B'(0,-4). So you have the vertex of the ellipse, then it's easy to draw it

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natta225 [31]

Answer:

=106

Step-by-step explanation:

PMDAS

First thing you do is the parenthesis

6+4(5)^2

then the exponent

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then multiply

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8 0

4 years ago

Read 2 more answers

Pls help me <br> god bless u

photoshop1234 [79]

Answer:

u= 144

Step-by-step explanation:

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3 years ago

1.Show that the statement p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by

Genrish500 [490]

If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.

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3 years ago

Suppose an initial investment of $100 will return $50/year for 3 years (assume the $50 is received each year at the end of the y

nydimaria [60]

With a positive NPV, it shows that the investment is profitable.

It is a profitable investment with a positive NPV at a discount rate of 20%.

Data and Calculations

Initial investment = $100

Annual cash inflows = $50

Period of investment = 3 years

Discount rate = 20%

<h3>What is the present value?</h3>

Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return.

Present Value (PV) annuity factor for 3 years at 20% = 2.106

Present value of annual cash inflows = $105.3 ($50 x 2.106)

Net Present Value (NPV) = $5.3 ($105.3 - $100)

Thus, with a positive NPV, it shows that the investment is profitable.

To learn more about the investment visit:

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2 years ago

In this experiment researchers randomly assigned smokers to treatments. Of the 193 smokers taking a placebo, 29 stopped smoking

mezya [45]

Answer:

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Step-by-step explanation:

To solve this question, we need to understand the Central Limit Theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$