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2 years ago

Question 5 and 6 I need answers to

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

4 0

Answer:

and also mark me the brainliest for the answer

Step-by-step explanation:

You might be interested in

The number 3.892 x 10/6 writing in standard

aniked [119]

To write the number is standard form we need to move the decimal point six times to the right, then:

$3.892\times x10^6=3,892,000$

therefore the answer is b.

3 0

1 year ago

Peter hired a cleaning company to clean his house. The cleaning company charges a fixed fee of $15 plus $17 per hour to clean a

almond37 [142]

Answer:

5 (for c only)

Step-by-step explanation:

for c:

1st cleaning company: $y=17x+15$

2nd cleaning company: $y=20x$

set up as a system of equations. for them to cancle out make the y of one equation negative. I'll be making the second one negative ( it doesn't matter though)

it will look like:

$y=17x+15$

$-y=-20x$

make the two equations on top of eachother and line the terms up. Then combine them. The variable "y" will cancle out and you'll be left with

$0=-3x+15$

then you will add 3x to both sides to get $3x=15$ then divide both sides by 3 to get $x=5$

if you plug in 5 for x into both of the original equations you will see that they will both make $100 in five hours. So you answer is 5

8 0

3 years ago

Dale is 35 years old and planning to retire at age 65. He will invest an average of $155 each month with an average annual retur

weeeeeb [17]

Since he is investing the same amount monthly, we have to apply annuity formula. And it is planned for the future. So that, we'll apply future value annuity formula. The formula is $FV=A[ \frac{(1+ \frac{r}{s})^{Ns} -1 }{r} ]$ , where A is the monthly payment, r is the percentage rate, s is 12 (monthly compound) and N is the time, which is 30. Plugging the numbers into the formula, we write that $FV=155[ \frac{(1+ \frac{0.037}{12} )^{12*30} - 1 }{0.037} ]$ = $8485.450857

3 0

4 years ago

8090 [49]

Answer:4 hours

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

lagrange multiplier what are the points on the intersection of the ellipsoid with the plane that are respectively closest and fu

sleet_krkn [62]

The points on the intersection of the ellipsoid with the plane that are respectively closest and furthest from the origin are

(2–√,−2–√,2−22–√)

(−2–√,2–√,2+22–√)

Using Lagrange multipliers we attempt to find the extrema of f(x,y,z)=x2+y2+z2 given that g(x,y,z)=x−y+z−2=0 and that h(x,y,z)=x2+y2−4=0.

Given,

∇f=⟨2x,2y,2z⟩

∇g=⟨1,−1,1⟩

∇h=⟨2x,2y,0⟩

Extrema satisfy the condition that ∇f=μ∇g+λ∇h for some λ,μ∈R.

This is to say,

2x=2λx+μ

2y=2λy−μ

2z=μ

If λ=1 then μ=0 and so z=0, the g constraint tells us that x=y+2, and the h constraint tells us that y2+(y+2)2=4, meaning that either y=0 or y=2. This provides us with two crucial points in addition to the g constraint:

(2,0,0)

(0,−2,0)

Now assume λ≠1, and so

x=μ2−2λ

y=−μ2−2λ=−x

Since x=−y, we have that x=±2–√, y=∓2–√. Using the g constraint, our two critical points are

(2–√,−2–√,2−22–√)

(−2–√,2–√,2+22–√)

And then it's east to determine which is the max and which is the min out of these four critical points.

To learn more about Lagrange multiplier

brainly.com/question/4609414

#SPJ4

3 0

2 years ago