A submarine begins 300 feet below sea level. It makes four moves of 30 feet each
toward the surface. How many more feet does the submarine need to move to reach
the surface?

Answers

Answer 1

Answer:

180 feet

Step-by-step explanation:

Starting number is 300.  Four moves of 30 feet is 120 feet.

30x4 = 120

300-120 = 180

Answer 2

Answer:

180 feet.

Step-by-step explanation:

Remark

You need some formal way of expressing what is happening. You start at 300 feet below sea level, and make make 4 moves of 30 feet each. Where are you and how much further do you have to go to reach the surface?

Equation

Distance to go = distance in feet below sea level - number of moves *  feet / move.

Givens.

original distance below sea level = 300 feet.

number of moves = 4

distance towards the surface for each move = 30  feet.

Distance to go. = ?

Solution

Distance to go = 300  - 4*30

Distance to go = 300 - 120

Distance to go = 180 feet


Related Questions

You work at a restaurant and the head manager has sent you to purchase livestock for an experiment. You want to grow the meat for the food right at the restaurant. You have been given 500 gold coins to spend at the store to purchase the livestock. Each sheep costs 12 gold coins, while each chicken costs seven.

If you purchase 32 sheep, how many chickens can you buy? Show all of your work. Hint: you don’t have to spend every coin.

Write an inequality that represents this situation.

If you want to buy twice as many chickens as sheep, what is the maximum number of sheep you can buy? Show all of your work.

Make a graph of the inequality from #2. Remember to label all parts of the graph. Label the intercept points.

Part 2: The animals you bought for the restaurant are doing quite well. You purchased an initial flock of 30 sheep and 20 chickens. The chickens and sheep have been breeding very successfully, and the flocks are growing. The sheep breed at a rate so that they will double every year. The chickens breed faster than the sheep (it helps when you can lay multiple chicks from one hen at a time!) The population of the chickens multiplies by 2.2 each year. (For all of these problems round to the nearest animal.)

5. How many sheep will there be in five years? Show all of your work.

6. Create an exponential equation to represent this situation.

7. How many chickens will there be in eight years? Show all of your work.

8. Create an exponential equation to represent this situation.

9. During what year will there be more chickens than sheep? Show your work or explain how you know.

10. Plot the two curves on a graph together. Remember to label all parts of the graph.

11. What is the domain of each function?

12. What is the y-intercept for each function? Explain what this number means in the context of this situation.

13. Your field can support a maximum of 3000 animals before you run out of vegetation and space. During what year will you need to purchase more land to house the animals?

Answers

The number of chickens is 16 if you purchase 32 sheep and inequality is 12x + 7y ≤ 500.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where 'a' is a constant and a>1

Total coins = 500 gold coin

Each sheep costs 12 gold coins, while each chicken costs 7 gold coins.

If purchased 32 sheep, so the total cost for the 32 sheep:

= 32×12

= 384

Remaining gold coin = 500 - 384 = 116 gold coin

Number of chicken can purchase in 166 gold coin = 116/7 = 16.57 ≈ 16

Inequality for the above scenario:

Let x be the number of sheep and y be the number of chickens.

12x + 7y ≤ 500

If you want to buy twice as many chickens as sheep.

y = 2x

12x + 7y = 500

After solving both the equation:

x = 19.23 ≈ 19 (Number of sheep)

y = 38 (double the number of sheep)

For the part 2:

The exponential equation for the sheep:

[tex]\rm y = 30(2)^x^-^1[/tex]

After 5 years, plug x = 5

[tex]\rm y = 30(2)^4[/tex]

y = 480 sheep

The exponential equation for the chicken:

[tex]\rm y = 20(2.2)^x^-^1[/tex]

After 8 years, plug x = 8

[tex]\rm y = 20(2.2)^7[/tex]

y = 4988.71 ≈ 4988 chickens

Similarly, you can find the rest of the data using the above equation.

Thus, the number of chickens is 16 if you purchase 32 sheep and inequality is 12x + 7y ≤ 500.

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The inverse of the function f(x) = 1/2x+10?

Answers

Answer:

f'(x) = 2x - 20

Step-by-step explanation:

f(x) = 1/2 x + 10

Switch x and y.

y = 1/2 x + 10

Solve for y by itself.

x = 1/2 y + 10

x - 10 = 1/2 y

y = 2 * (x - 10)

f'(x) = 2x - 20

Pls, look at the picture for the question.

Answers

Answer:

B

Step-by-step explanation:

surface area = area of base + area of lateral faces

Area of base:

A = lw

A = 4(4)

A = 16

Area of Lateral faces:

A = 1/2 bh

A = 1/2(5)(4)

A = 1/2(20)

A = 10

There are for lateral faces.

s = 16 + 10 + 10 + 10 + 10

Question 11(Multiple Choice Worth 5 points)
(03.06A LC)
Which statement is true for the equation 2x - 2x - 7 = -7?
O It has infinitely many solutions.
O It has two solutions.
O It has one solution.
It has no solution.

Answers

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

2x-2x-7=-7

We need to solve it first as follows:

[tex]2x-2x-7=-7[/tex]

[tex]2x-2x=-7+7[/tex]

[tex]0=0[/tex]

Since L.H.S. = R.H.S.

So, it satisfies the equation for all x.

So, there will be infinitely many solutions.

Hence, Option 'a' is correct.

Solve Algebraically
y=x2−4x+3
y=x−5

Answers

Answer:

then

x2-4x+3=x-5

or,x2-4x-x= -5-3

or,x2-5x+8=0

John has a monthly net income of $2,376.80. John allots 20% of his income for food, which amounts to

Answers

Answer: 20% of 2,7376.80 = 475.36

Step-by-step explanation:

2,376.80(0.2)=475.36

Prove algebraically that the straight line with equation x =2y+5 is a tangent to the circle with equation x ² +y ²

Answers

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

x = 2y + 5 ...1

x² + y² = 5 ...2

If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.

Then from equations 1 and 2, we have

               (2y + 5)² + y² = 5

4y² + 25 + 20y + y² - 5 = 0

            5y² + 20y + 20 = 0

    5y² + 10y + 10y + 20 = 0

     5y (y + 2) + 10(y + 2) = 0

              (5y + 10)(y + 2) = 0

                                    y = -2, -2

Then the value of y is unique then the value of x will be unique.

The value of x will be

x = 2(-2) + 5

x = -4 + 5

x = 1

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

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If x=−4 is a solution to the equation x2+11x+K=0 , then K= ?

Answers

Answer:

x^2 + 11x + k = 0

(-4) ^2 + 11 (-4) + k = 0

16 - 44 + k = 0

-28 + k = 0

K = 28

Hope Helpful ~

Answer: K = 28

Step-by-Step Explanation:

x^2 + 11x + K = 0; where x = -4

Substitute the value of ‘x’ in Equation :-
= (-4)^2 + 11(-4) + K = 0
= 16 + -44 + K = 0
= -44 + K = -16
=> K = -16 + 44 = 28

Therefore, K = 28

How to simplify question below ?

Answers

Answer:

[tex]3x^2y[/tex]

Step-by-step explanation:

The cube root of 27 is 3.

With indices, cube rooting them is the equivalent of multiplying by 1/3 so:

[tex]x^2y[/tex].

Put these 2 things together and you get:

[tex]3x^2y[/tex]

A rectangular park has a perimeter of 374 feet and a length of 65 feet.

What is the width of the park?

Answers

Answer: 122

Step-by-step explanation:

▪︎ Perimeter = (width + length) * 2

374 = (width + 65) * 2

width + 65 = 374 / 2

width + 65 = 187

width = 187 - 65

width = 122

Please answer asap! show work!
11. What is (f.g)(x)?
f(x) = x3 +3
g(x) = 2x2 + x - 1

Answers

Answer:

2x⁵ + x⁴ - x³ + 6x² + 3x - 3

Step-by-step explanation:

Given :

f(x) = x³ + 3g(x) = 2x² + x - 1

Finding (f × g)(x) :

f(x) × g(x)(x³ + 3)(2x² + x - 1)2x⁵ + 6x² + x⁴ + 3x - x³ - 32x⁵ + x⁴ - x³ + 6x² + 3x - 3

Kenny plotted the following pairs of points and said they made a symmetric figure about a line with the rule: y is always 4

Answers

(3 , 2) and (3 , 6) because you add 4 to the first y coordinate, 2, it’ll give you 6, as shown in the second y coordinate.

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0) (4,-2)

Answers

Answer:

y = -2x

Step-by-step explanation:

From the figure, the given line passes through the points (0, 0) and (-4, 8).

Recall that the equation of a straight line is given by

Thus, the equation of the given figure is given by

-4y = 8x

Therefore, the answer is y = -2x.

someone help with the answer

Answers

The answer is

for parallel : y= 4/7-5x/7

for perpendicular: y=10+7x/5

What is slope- intercept equations?

The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.

Given line: 5x+7y=9

when our intersection point is (5,-3) the constant

5x+7y

= 5(5)+7(-3)

= 25-21

=4

hence, 5x+7y=4

slope intercept form

7y= 4-5x

y= 4/7-5x/7

Now, for perpendicular lines:

swap the coefficients on x and y with negative sign of x in  5x+7y=9

7x-5y= constant

again, when our intersection point is (5,-3) the constant must be

7x-5y

= 7(5)-5(-3)

=35+15

=50

7x-5y=50

slope intercept form so we solve for y:

y= (50+7x)/5

y=10+7x/5

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If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, what is the volume of the water that was displaced (in cubic inches)?

Answers

The volume of the water that was displaced will be 0.06 cubic feet.

What is density?

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

mass = density × volume

If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water.

Then the volume of the water that was displaced will be

We know that the density of the water is 62.4 pounds per cubic foot.

Then we have

3.7 = 62.4 × volume

Volume = 0.059

Volume ≅ 0.06 cubic-foot

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7. In which step does a mistake first occur? 8÷2+ (3 x 3-2) Step 1: 8÷2 + (3 x 1) Step 2: 8÷2+3 Step 3: 4+3 Step 4: 7​

Answers

Answer: Step 1

A mistake first happens in Step #1. PEMDAS is not followed correctly.

(PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction)

When solving 8÷2+(3x3-2), you first move left to write and solve the problems working through the correct order of operations.  

Correct Steps:

1)  8÷2 + (3x3-2)

2) 4 + (9-2)

3) 4 + 7

4) 4+7 = 11

there are light-bulbs at the factory

Answers

nice. are they filament lightbulbs or fluorecent lightbulbs

due to inflatation, the cost of harys hot wings grows by 4% every year. this year a dozen hot wings cost 5.99

part a. how much will a dozen hot wings cost next year

part b. how much will a dozen hot wings cost in 2 years

Answers

Answer:

Part A : $6.23

Part B : $6.48

Step-by-step explanation:

Let's apply the Simple Interest Formula, which is :

Simple Interest = Principal Amount x Interest rate x Time Period

In one year :

I = 5.99 x 4% x 1I = $0.24Cost = $5.99 + $0.24Cost = $6.23

In 2 years :

I = $6.23 x 4% x 1I = $0.25Cost = $6.23 + $0.25Cost = $6.48

Kieran enters four events in an athletics
competition. The probability of him winning each
of the events is shown below.
Order the probabilities from least likely to most
likely.
100 m
Long jump
Discus
Hurdles
2
0.46
²3
23%
3
10
5

Answers

Answer:

Discus, Hurdles, Long jump, and 100m

Step-by-step explanation:

Why can’t you Factor x^2+9

Answers

Answer:

You can't answer this because there isn't a regular x value, there is only a x squared

Step-by-step explanation:

[tex]~~~~~~x^2 +9 = 0\\\\\implies x^2 = -9\\\\\implies x = \pm\sqrt{-9}\\\\\implies x=\pm 3i\\\\\text{Which is not real, so the given expression can't be factored for} ~x \in \mathbb{R}.[/tex]

he average of 7 consecutive even integers is 10. What is the largest
of the 7 integers?

Answers

Answer:

only two brother ok bye

Help and show explanation please

Answers

Answer:

This app is very good,it help us do our homework.and we make a good passed.


[tex] \sqrt[3]{800} [/tex]
between 2 and 3
between 4 and 5
between 9 and 10​

Answers

1. 2.1, 2.2, 2.3, 2.4, 2.5 and 2.6


2. 4.1, 4.2, 4.3, 4.4, 4.5


3. 9 and 10 are whole numbers. All the numbers between them are numbers with decimals thus the answer is none.
NOTE NOT ZERO IT IS (NONE)

Find the value marked b?

Answers

Based on the alternate interior angles theorem, the value marked b is calculated as: 190°

What is the Alternate Interior Angles Theorem?

The theorem states that two alternate interior angles are always congruent to each other.

The measure of angle b based on the alternate interior angles theorem would be:

m∠b = 50 + (320 - 180)

m∠b = 190°

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find the volume of the shape​

Answers

Answer:

hmmm the mass are the numbers of the up and volume of the bottom

Step-by-step explanation:

A dance CD has 10 songs on it - 8 are slow, and 2 are fast. When the DJ at a dance plays a song it is not played again. All songs from the CD are played at random.
What is the probability that the first two songs played are slow songs?

Answers

No answer given, the probability would be 20/100 for the two slow song to be played

The probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.

To calculate the probability that the first two songs played are slow songs, we need to consider the total number of ways the first two songs can be selected and the number of ways to choose two slow songs out of the eight available.

Given:

Total number of songs = 10

Number of slow songs = 8

Step 1: Calculate the total number of ways to choose two songs out of ten (without replacement), which is represented by "10C2" (combinations of 10 things taken 2 at a time):

10C2 = (10 * 9) / (2 * 1) = 45

Step 2: Calculate the number of ways to choose two slow songs out of eight:

8C2 = (8 * 7) / (2 * 1) = 28

Step 3: Find the probability that the first two songs played are slow songs by dividing the number of favorable outcomes (choosing two slow songs) by the total number of possible outcomes (choosing any two songs from the CD):

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 28 / 45 ≈ 0.622

So, the probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.

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Solve the inequality.

Answers

Answer:

D. t < -4 or t > 5

Step-by-step explanation:

Inequality 1

5t - 1 < -215t < -20t < -4

Inequality 2

4t + 2 > 224t > 20t > 5

t < -4 or t > 5

Option D

Graph

Answer:

[tex]\sf D. \quad t < -4, t > 5[/tex]

Step-by-step explanation:

Given system of inequalities:

[tex]\begin{cases}5t-1 < -21\\4t+2 > 22\end{cases}[/tex]

Solve the inequalities by isolating t.

Inequality 1

[tex]\sf \implies 5t-1 < -21[/tex]

[tex]\implies \sf 5t-1+1 < -21+1[/tex]

[tex]\sf \implies 5t < -20[/tex]

[tex]\sf \implies 5t \div 5 < -20 \div 5[/tex]

[tex]\sf \implies t < -4[/tex]

Inequality 2

[tex]\sf \implies 4t+2 > 22[/tex]

[tex]\sf \implies 4t+2-2 > 22-2[/tex]

[tex]\sf \implies 4t > 20[/tex]

[tex]\sf \implies 4t \div 4 > 20 \div 4[/tex]

[tex]\sf \implies t > 5[/tex]

Therefore, the solution to the system of inequities is:

[tex]\sf t < -4, t > 5[/tex]

When graphing inequalities:

< or > : dashed lines≤ or ≥ : solid line< or ≤ : shading under the line> or ≥ : shading above the line

Therefore, to graph the given system of inequalities:

Draw a straight dashed line at t = -4 and shade under the line.Draw a straight dashed line at t = 5 and shade above the line.

(Refer to attachment for the graph).

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It takes 5 gardeners 48 hours to landscape a gArden how long w I'll it take 8 gardeners to landscape same garden

Answers

The time is taken by the 8 gardeners to landscape the same garden will be 30 hours.

What are ratios and proportions?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

It takes 5 gardeners 48 hours to landscape a garden.

Then the time taken by the 8 gardeners to landscape the same garden will be

The relationship between the gardeners and time is inversely proportional. Then we have

Let x be the time taken by the 8 gardeners. Then we have

8x = 5×48

 x = 30 hours

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need help with this math

Answers

Answer:

h = 5 :)

Step-by-step explanation:

Nick has planted 20 flowers and can plant 7 flowers an hour, Rachel planted 5 flowers and can plant 10 flowers an hour.

f = 7h + 20

f = 10h + 5

f = 7(1) + 20 = 27

f = 10(1) + 5 = 15

(Not this one)

f = 7(2) + 20 = 34

f = 10(2) + 5 = 25

(nope..)

f = 7(3) + 20 = 41

f = 10(3) + 5 = 35

(nope!)

f = 7(4) + 20 = 48

f = 10(4) + 5 = 45

(close, but no)

f = 7(5) + 20 = 55

f = 10(5) + 5 = 55

(Yes!)

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -3/2x + 8

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

= 5-2 / 2-4

= -2/3

Y intercept is 8

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