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3 years ago

Insert <, >, or = to make the sentence true. √3 √7

Mathematics

2 answers:

anygoal [31]3 years ago

6 0

Answer:

The insertion that will be made in order to make the statement true is:

√3 < √7

Step-by-step explanation:

We are asked to compare two irrational numbers which are given as:

√3 ,√7

As we know that if a square root contains a smaller number that the value of that expression is small as compared to the expression containing a larger number in the square root sign.

As we know that:

3 < 7

Hence, taking square root we get that:

√3 < √7

Black_prince [1.1K]3 years ago

4 0

< is going to be your answer

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Write the standard equation for the hyperbola with the following conditions: vertices: (-2, -3) and (6, -3) foci: (-4, -3) and (

STALIN [3.7K]

Hello,

Vertices are on a line parallele at ox (y=-3)

The hyperbola is horizontal.

Equation is (x-h)²/a²- (y-k)²/b²=1

Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)

Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6

c²=a²+b²==>b²=36-4²=20

Equation is:
$\boxed{ \dfrac{(x-2)^2}{16} - \dfrac{(y+3)^2}{20} =1}

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8 0

2 years ago

a 96 ounce container of orange juice costs $4.80. at what price should a 128 ounce container be sold in order for the unit rate

Hunter-Best [27]

4.8 / 96 = x / 120
96x = 576
x = 576/96
x = 6

check :
unit rate for 96 oz container at 4.80 = 4.80/96 = 0.05 per oz
unit rate for 120 oz container at 6.00 = 6.00/120 = 0.05 per oz

Basically ur looking for an equivalent fraction (and that is what proportions are...this will reduce to the same unit rate. So ur answer is $ 6.00

5 0

3 years ago

What is the rate of change from x = n to x = 2n?

puteri [66]

Answer:

$\dfrac{-8}{\pi}$

Step-by-step explanation:

The rate of change of the function f(x) from point $x_1$ to point $x_2$ can be calculated using formula

$\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

Given

$x_1=\pi\\ \\x_2=2\pi$

From the graph of the function

$f(x_1)=f(\pi)=4\\ \\f(x_2)=f(2\pi)=-4$

So, the rate of change is

$\dfrac{f(x_2)-f(x_1)}{x_2-x_1}=\dfrac{-4-4}{2\pi -\pi}=\dfrac{-8}{\pi}$

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3 years ago

The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of 0.5 min

Hitman42 [59]

Given:
μ = 2 min, population mean
σ = 0.5 min, population standard deviation

We want to find P(x>3).

Calculate the z-score
z= (x-μ)/σ = (3-2)/0.5 = 2

From standard tables, obtain
P(x ≤ 3) = P(z ≤ 2) = 0.9772
Therefore
P(x > 3) = P(z > 2) = 1 - 0.9772 = 0.0228

Answer: 0.02275

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3 years ago

Say wut in 30 secs and you will get 5o points and brain crown

cluponka [151]

Answer:

wut

Step-by-step explanation:

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2 years ago

Read 2 more answers