A scientist uses a submarine to study ocean life.• She begins at sea level, which is an elevation of o feet.
She travels down 31.6 feet.
• She then ascends 19.2 feet.
Next, she travels down a second time, 89.5 feet.
How many feet must she now ascend to get back to sea level?

Answers

Answer 1
Answer: since she is now 101.9 below sea level she will now need to ascend/go up 101.9 to reach sea level

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A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period.

Answers

Money earned by restaurant on Friday=$1073

Money earned by restaurant on Saturday=$1108

Let Money earned by restaurant on Sunday=$x

Average=$1000

\text { average}=\frac  { sum of all the observation}{total number of observation}

Number of observation=3

                           ⇒  3×  1000=1073+1108+x

                            ⇒3000=     2 181+x

                              ⇒3000-2181=x

                            ⇒x=819

The restaurant needs to earn on Sunday to average $1000 per day over the three-day period=$819


1073+1108+x/3=1000

answer is $819

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.

Answers

Answer: The prove is mentioned below.

Step-by-step explanation:

Here the given functions are,

f(x)=(x-7)/(x+3)

g(x)=(-3x-7)/(x-1)

We have to prove that: f(g(x)) = x and g(f(x)) = x.

Since f(g(x))= ((-3x-7)/(x-1) -1)/((-3x-7)/(x-1) +3)

f(g(x))= (-3x-7-7x+7)/(-3x-7+3x-3)

f(g(x))= (-4x)/(-4)

f(g(x))= x

Now, g(f(x))= (-3(x-7)/(x+3) -7)/((x-7)/(x+3) -1)

g(f(x))= (-3x+21-7x-21)/(x-7-x-3)

g(f(x))= (-10x)/(-10)

g(f(x))= x

Answer with Step-by-step explanation:

We are given that

f(x)=(x-7)/(x+3)

g(x)=(-3x-7)/(x-1)

We have to confirm that f and g are inverses by showing that f(g(x))=x=g(f(x))

f(g(x))=f((-3x-7)/(x-1))

f(g(x))=((-3x-7)/(x-1)-7)/((-3x-7)/(x-1)+3)

f(g(x))=((-3x-7-7x+7)/(x-1))/((-3x-7+3x-3)/(x-1))

f(g(x))=(-10x)/(x-1)* (x-1)/(-10)

f(g(x))=x

g(f(x))=g((x-7)/(x+3))

g(f(x))=(-3((x-7)/(x+3))-7)/((x-7)/(x+3)-1)

g(f(x))=((-3x+21-7x-21)/(x+3))/((x-7-x-3)/(x+3))

g(f(x))=((-10x)/(x+3))/((-10)/(x+3))

g(f(x))=(-10x)/(x+3)* (x+3)/(-10)=x

Hence, f(g(x))=g(f(x))=x

Therefore, f and g are inverses.

A Greenhouse has the shape of a cylinder and rectangular prism, as show.?In order to air condition the building the owner needs to know the volume of the empty green house.What is the volume, in cubic feet? leave your answer to the nearest hundredths.

Volume Cylinder= _______cubic feet

Volume total= ______cubic feet

Answers

what is the starting volume

A line has a gradient of 4 and passes through the post (1,7). what is the equation?

Answers

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

Classify the following triangle. Check all that apply.

Answers

Triangle is both acute and scalene.

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

we know that,

A scalene triangle has three unequal sides and angles, whereas an acute triangle has three acute angles (measured fewer than 90 degrees). Consequently, the characteristics of an acute scalene triangle are as follows: three lines that cross each other. a trio of sharp angles All sides are not equal.

Given

All angles are less than 90 degrees so it is acute. The sides are of difference lengths so it is scalene.

To know more about  acute triangles refer to :

brainly.com/question/1368335

#SPJ7

It has 90 degrees so it's right
And none of the sides are equal so it's scalene

Marco's bedroom is a square that one side is 7 1/2 feet. Marco wants to come in at five carpet how many square feet of carpet will be needed for the bedroom.

Answers

Answer:11.25 square feet of each carpet will be needed for the bedroom.

Step-by-step explanation:

The formula for determining the area of a square is expressed as

Area = length^2

Marco's bedroom is a square that one side is 7 1/2 feet. Converting

7 1/2 feet to improper fraction, it becomes 15/2 feet.

Therefore, the area of Marco's bedroom would be

(15/2)^2 = 225/4 = 56.25 square feet.

Marco wants to come in at five carpet. It means that the number of square feet of each carpet that will be needed for the bedroom is

56.25/5 = 11.25