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tiny-mole [99]
3 years ago
14

How many crew members in all were in Expeditions 1 through 6?-in mathematics book page 6-7

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0
Can you be more specific?
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M,H, and G have written more than a combined total of 22 articles. H has written 1/4 as many as M. G has written 3/2 as M. Write
Natalka [10]

Missing part of the question:

Write an inequality to determine the number of articles, M could have written for the school newspaper.

Answer:

The inequality: 11M > 88

The solution: M > 8

Step-by-step explanation:

Given

From the question, we have the following parameters:

M + H + G > 22

H = \frac{1}{4}M

G = \frac{3}{2}M

Required

Determine the inequality to solve for M

Substitute the values for H and G in the inequality:

M + H + G > 22

M + \frac{1}{4}M + \frac{3}{2}M > 22

Multiply through by 4

4(M + \frac{1}{4}M + \frac{3}{2}M) > 22*4

4M + M + 6M > 88

11M > 88

Divide both sides by 11

M > 8

4 0
3 years ago
Evaluate: 792.6 ÷ 10-4<br><br> remember it is not 10-4. it is 10 to the -4 power
jarptica [38.1K]

Answer:

792600

Step-by-step explanation:

For this question you can add four zeroes to the back of 792.6 andmove the decimal to get you the answer, hope this helps

It's also good to know that if the exponent was positive the answer would be 0.07926

3 0
3 years ago
Read 2 more answers
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=4x2 2y2; 3x
nevsk [136]

For given f(x, y) the extremum: (12, 24) which is the minimum.

For given question,

We have been given a function f(x) = 4x² + 2y² under the constraint 3x+3y= 108

We use the constraint to build the constraint function,

g(x, y) = 3x + 3y

We then take all the partial derivatives which will be needed for the Lagrange multiplier equations:

f_x=8x

f_y=4y

g_x=3

g_y=3

Setting up the Lagrange multiplier equations:

f_x=\lambda g_x

⇒ 8x = 3λ                                        .....................(1)

f_y=\lambda g_y

⇒ 4y = 3λ                                         ......................(2)

constraint: 3x + 3y = 108                .......................(3)

Taking (1) / (2), (assuming λ ≠ 0)

⇒ 8x/4y = 1

⇒ 2x = y

Substitute this value of y in equation (3),

⇒ 3x + 3y = 108

⇒ 3x + 3(2x) = 108

⇒ 3x + 6x = 108

⇒ 9x = 108

⇒ x = 12

⇒ y = 2 × 12

⇒ y = 24

So, the saddle point (critical point) is (12, 24)

Now we find the value of f(12, 24)

⇒ f(12, 24) = 4(12)² + 2(24)²

⇒ f(12, 24) = 576 + 1152

⇒ f(12, 24) = 1728                             ................(1)

Consider point (18,18)

At this point the value of function f(x, y) is,

⇒ f(18, 18) = 4(18)² + 2(18)²

⇒ f(18, 18) = 1296 + 648

⇒ f(18, 18) = 1944                            ..............(2)

From (1) and (2),

1728 < 1944

This means, given extremum (12, 24) is minimum.

Therefore, for given f(x, y) the extremum: (12, 24) which is the minimum.

Learn more about the extremum here:

brainly.com/question/17227640

#SPJ4

6 0
2 years ago
Helpppp please ASAP
Molodets [167]

Answer:

I got 12√ 2  

PLZ CORRECT ME IF I AM WRONG PLZ AND THXS YOU

Step-by-step explanation:

7 0
3 years ago
One year after you buy a tree, it is 15 feet tall. Each year after you buy the tree, it grows 2.5 feet. Write a function that re
stiv31 [10]

Answer:

hey! this is your answer:

Step-by-step explanation:

function =

f(n)= 2.5n + 15

It takes 4 years for it to grow to 25 ft.

becuase,

25= 2.5(4) + 15

the equation equals itself out when 4 is put in.

6 0
2 years ago
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