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3 years ago

Evaluate the expression for p = 3. 7p

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

8 0

7(p)

p=3

7(3)

the answer is 21.

grigory [225]3 years ago

6 0

7p
p=3
7 x 3 = 21 is the correct answer

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Solve. −3.5=−4.6x−5.1 Enter your answer as a fraction in simplest form in the box.

Law Incorporation [45]

Answer:

x = 8/23

Step-by-step explanation:

Adding 3.5 to each side

-3.5 + 3.5 = -4.6x - 5.1 + 3.5
-4.6x - 1.6 = 0

Adding 4.6x to each side

-4.6x - 1.6 + 4.6x = 0 + 4.6x
4.6x = -1.6

Dividing each side by 4.6

4.6x/4.6 = -1.6/4.6
x = 8/23

7 0

2 years ago

MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

$l^{2} + l^{2} + l^2 = 64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}$

7 0

3 years ago

Find the slope of the line that goes through the two points. (6,7) (-2,11)

Alla [95]

Answer:

-1/2

Step-by-step explanation:

The equation for slope is (y2-y1)/(x2-x1).

Plug in the values given in the problem

(11-7)/((-2)-6)

Then simplify

4/(-8)=-1/2

3 0

2 years ago

PLEASE HELP ASAP!!!!!!!!!

viva [34]

Answer:

A: 5:1

B. 2:10

Step-by-step explanation:

Please mark brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

3 0

3 years ago

Factorise x² - 7x +10

Dafna1 [17]

(x-2) (x-5)
Lmk if you need step by step

5 0

3 years ago