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4 years ago

[4|16-38|+6]-17•2

1 answer:

3 0

$\bf \underset{\textit{we start from the innermost}}{\stackrel{\mathbb{PEMDAS}}{[4|16-38|+6]-17\cdot 2}}\implies [4\cdot |\stackrel{\downarrow }{-22}|+6]-17\cdot 2\implies [4\cdot \stackrel{\downarrow }{22}+6]-17\cdot 2 \\[2em] [\stackrel{\downarrow }{88}+6]-17\cdot 2\implies \stackrel{\downarrow }{94}-17\cdot 2\implies 94-\stackrel{\downarrow }{34}\implies 60$

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Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

Alchen [17]

Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

$a^{2} = c^{2} +b^{2}$

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

Final answer:-

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

8 0

3 years ago

Read 2 more answers

Ples halp me my sister is iready testing and she asked me to help her ples help

cricket20 [7]

14/20 i believe
(i cant submit this without other characters > jdjdjdjdjfjjfjfjfjfjdj)

7 0

3 years ago

Read 2 more answers

A company plans to build a wheelchair ramp with the following

Liono4ka [1.6K]

9514 1404 393

Answer:

yes

Step-by-step explanation:

The height that would be allowed with a ramp 43.5 feet long is ...

h = (43.5 ft)·sin(4.8°) ≈ 3.64 ft

The proposed height is less than 3.64 ft, so the ramp angle is less than 4.8°.

The ramp angle is actually arcsin(3/43.5) ≈ 3.95°, which is less than 4.8°.

7 0

3 years ago

F(x) = x-5

fgiga [73]

Answer:

g(f(x)) =1 - (12/(x^2-10x+25) +4

Step-by-step explanation:

f(x) = x-5

g(x) = x^2 – 12/ x^2 +4

g(x) = 1– 12/ x^2 +4

so we have:

g(f(x)) = 1 -12/(x-5)^2 +4

g(f(x)) =1 - (12/x^2-10x+25) +4

5 0

3 years ago

beer Bottles are filled so that they contain an average of 475 ml of beer in each bottle. Suppose that the amount of beer in a b

VMariaS [17]

I attached the rest of your question in the image below.
We use the normal distribution density function f(z) to find the probability of a specific range of values.
Z= ((X-μ)/σ)
μ = 475σ = 8
a) X< 470 ml
P[X<470] = P[Z<(470-475)/8] = P[Z<(470-475)/8] = P[Z<-0.625] = 0.2659

b) 6 pack with a mean of less than 470ml
Z = ((X-μ)/(σ/√n))
Z = (470-475)/(8/√6)
P [Z<-1.53] = 0.063
c) 12 pack with a mean of less than 470ml
Z = ((X-μ)/(σ/√n))
Z = (470-475)/(8/√12)
P [Z<-2.165] = 0.0152

6 0

4 years ago