All categories

3 years ago

After 8 minutes, a vessel had descended 640

Mathematics

2 answers:

Vesnalui [34]3 years ago

6 0

Answer:

Step-by-step explanation:

It's super simple if after 8 minutes a vessel had descended 640 feet the change in the elevation of the vessel was 80ft each minute. Hope this helps :)

Svetach [21]3 years ago

3 0

Answer:

80 feet per minute

Step-by-step explanation:

You might be interested in

This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.

PilotLPTM [1.2K]

From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

In this problem, when x increases by 20, y decays by 6, hence the slope is given by:

$m = -\frac{6}{20} = -0.3$

Then:

y = -0.3x + b.

When x = -54, y = 12, hence:

y = -0.3x + b

12 = -0.3(-54) + b.

b = -4.2.

Thus, the equation is:

y = -0.3x - 4.2.

The x-intercept is the value of x when y = 0, hence:

-0.3x - 4.2 = 0.

x = -4.2/0.3

x = -14

More can be learned about linear functions at brainly.com/question/24808124

6 0

3 years ago

If the volume of a cube is increased by a factor of 10 (so that the new volume is 10 times the size of the original volume), by

Alexeev081 [22]

Answer:

surface area of cube $10^{\frac{2}{3} }$ time

Step-by-step explanation:

given data

new volume = 10 time original volume

to find out

what factor surface area change

solution

we consider here side of cube is a

and volume is V

we consider here a is 2

then volume will be v1 = a³ = 2³ = 8

and surface area = 6a² = 6(2)² = 24 ..........1

so if volume increase 10 time

than

V = 10 × v1

a³ = 10 × 8

a³= 80

a = 2 × ∛10

and

surface area increase here

surface area = 6a²

surface area = 6( 2 × ∛10 )²

surface area = 24 × $10^{\frac{2}{3} }$ ............2

so from equation 1 and 2

surface area / surface area = 24 × $10^{\frac{2}{3} }$ / 24

surface area = $10^{\frac{2}{3} }$

so here surface area of cube will be $10^{\frac{2}{3} }$ time

5 0

4 years ago

Let f(x) = 4x – 32 and g(x) = 4x. . . Part 1 [4 points] What is (f ◦ g)(x) ? . Part 2 [2 points] Use complete sentences to descr

Paraphin [41]

To answer this equation, firs you must assign the g(x) to the value of f(x) to make the function answerable and able to find the value of x. So its gonna be f(g(x)) = 4(4x)-32. So x = 2 and f(x) = -24 and g(x) = 8

3 0

3 years ago

There are 3 consecutive even integers that sum to 126

bixtya [17]

Answer:

41,42,43

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

ALGEBRA 1 HELP!! Andrea buys 4 bags of granola and 3 bags of dried fruit. She spends $51.50. Carter buys 2 bags of granola and 4

timurjin [86]

Answer:

Granola is $6.95/bag and Dried Fruit is $7.90/bag.

Step-by-step explanation:

Let G and F stand for the cost of 1 bag Granola and 1 bag dried Fruit.

We learn that Andrea's total was $51.50. Her purchase can be written as the sum of the cost of 4 bags granola (4G) and 3 bags fruit (3F):

4G + 3F = $51.50

We can do the same for Carter:

2G + 4F = $45.50

We have two equations and two unknowns, so we should be able to solve for both unknowns. To do this, we need to find a way to eliminate one of the unknows in a single equation. Let's rearrange Carter's equation to isolate G on one side:

2G + 4F = $45.50

2G = $45.50 - 4F

G = ($45.50 - 4F)/2

Now use this expression for G in Andrea's equation:

4G + 3F = $51.50

4(($45.50 - 4F)/2) + 3F = $51.50

2($45.50 - 4F) + 3F = $51.50

($91.00 - 8F) + 3F = $51.50

-5F = - $39.5

F = $7.90 One bag of dried fruit is $7.90.

Now use this value for F in either equation for find G:

2G = $45.50 - 4F

2G = $45.50 - 4($7.90)

2G = $13.90

G = $6.95 One bag of granola is $6.95

---------------

Check to see if these values work:

Andrea:

4G + 3F = $51.50 :

4($6.95) + 3($7.90) = $51.50 ?

$51.50 = $51.50 YES

Carter:

2G + 4F = $45.50

2($6.95) + 4($7.90) = $45.50 ?

$45.50 = $45.50 YES

4 0

3 years ago