The position of a large fish relative to the water surface was −17 1/3 feet. It suddenly dove straight down and increased its depth by 6 1/2 feet. What is the position of the fish now relative to the water surface? Enter your answer as a mixed number, in simplified form, in the box.

Answers

Answer 1
So let’s imagine this on a number line…so we know that the fish starts at -17 1/3 on the number line but he dives (that means go lower in our number line) 6 1/2 feet downward so let’s set up an equation:

-17 1/3 - 6 1/2
Now, let’s subtract the two integers by finding the least common denominator of 2 and 3 so it can be easier to solve in this case it’s 6…then let’s set up our new equation:

-17 2/6 - 6 3/6
We know it’s a negative number since we are subtracting a negative number and our final answer is -23 5/6

Related Questions

I MARK BRAINLIEST AND 50 points!!! find the magnitude of the resultant. forces of 92.6 lb and 118 lb act on an object. the angle between the forces is 75.2°.
a) 208 lb
b) 130 lb
c ) 168 lb
d) 150 lb

Answers

Answer:

This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.

Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.

The magnitude of the resultant force can be found by applying the law of cosines:

c2 = a2 + b2 - 2abcos140°

where a = 80, b = 70 and c is the resultant force vector you are asked to find

Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:

sinα/a = sin140°/c

where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs

Step-by-step explanation

According to the histogram of travel times to work from the US 2000 census (Page 6 of "Journey to Work: 2000"), roughly what percentage of commuters travel more than 45 minutes?

Answers

Histograms are used to represent data, where the length of each bar represents the frequency of the data element

The histogram is not given; So, I will give a general explanation.

Assume that the number of commuters that travel more than 45 minutes is 450, while the total number of commuters surveyed is 500.

The percentage of commuters that travel more than 45 minutes is the quotient of the commuters that travel more than 45 minutes and the total number of surveyed commuters.

So, we have:

[tex]\%Percentage = \frac{450}{500}[/tex]

Divide 450 by 500

[tex]\%Percentage = 0.9[/tex]

Express as percentage

[tex]\%Percentage = 90\%[/tex]

Hence, the percentage of commuters that travel more than 45 minutes is 90%

Read more about histograms at:

https://brainly.com/question/2776232

A pet shop sells mice, rats and gerbils. The ratio of mice to rats is 4:3 and the ratio of mice to gerbils is 7:4. If there are 32 gerbils in stock at present, how many rats are there? Please could you explain your working out.

Answers

Answer:

42 rats.

Step-by-step explanation:

since the ratio of mice to gerbils is 7:4, given that there are 32 gerbils, that means 32/4=8 gerbils; in other words, 56mice:32gerbils. Then, to find the # of rats, the ratio is 4:3, so you take the previous value of the # of mice and divide it by 4 to get 14(3)= 42

To understand this question, we need to know what it's asking and what's important and what is not important. Many people skip this step, but it is very important.

It is asking us to Find how many Rats there are.

This problem is defiantly reduced to the simplistic ratio

The next step is to Find clues

The clues are 32 Gerbils, 7:4 and 4:3

Now i like to make a chart but you may skip this step if you want

Gerbils=32

Mice=??

Rats=??

First, we have to find the numbers of Mice.

(Reducing Ratios divide them by a number like 2:4=1:2)

If you have 32 Gerbils and you reduced it to 4, what did you dived?

32/4=8

So, you multiply 7x8=56

There is 56 Mice.

Our table looks like this

Gerbils=32

Mice=56

Rats=??

Now we use the ratio 4:3 to find the numbers of Rats

If there are 56 mice, and it is reduced to 4, we have to do 56/4 to find out what we have to multiply 3 by to get the total numbers of rats (Inverse Operation) by. We get 14.

So now we do 3x14 in which we get 42.

Our chart now looks like this

Gerbils=32

Mice=56

Rats=42

I Hope this helped if you have any questions just tell me

I need help with 7c please

Answers

Answer:

mx x 2 x1dadqd

Step-by-step explanation:

The ratio of men to women working for a company is to 8 to 5 . If there are employees total 208 , how many women work for the company?

Answers

Answer:

130

ratio of woman to man is : 5/8

5/8×208=130

Answer:

130 women

Step-by-step explanation:

3 men to 5 women:

We can add the variable x:

3x + 5x = 208

8x = 208

x = 26

3 * 26 = 78 men,

5 * 26 = 130 women.

Wite a numerical expression for the below problems. Simplify the expressions.
Multiply six times three then divide by lwo
The quotient of twelve and two subiracled from thirty-six

Answers

Answer:

1) 9

2) 34

Step-by-step explanation:

For the first one, it would be

= (6×3)/2

= 18/2

= 9

The second one is,

= 36- (12/6)

= 36 - 2

= 34

5. Maribel makes bead necklaces. She uses a
ratio of 4:2:3 when threading green, brown and
yellow beads on the wire. How many green and
yellow beads will Maribel use for a necklace
Icontaining a total of 117 beads?

A. 52 green beads; 39 yellow beads

B. 52 green beads; 26 yellow beads

C. 26 green beads; 52 yellow beads

D. 39 green beads; 52 yellow beads

Answers

Answer:

A.  52 green beads; 39 yellow beads

Step-by-step explanation:

See the attachment.  If we take the ratios of 4, 2 , and 3, they add to 9.  The

Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.

G:  52 Beads

B:  26 Beads

Y:  39  Beads

for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)

Answers

Recall the half-angle identity for sine,

sin²(x/2) = (1 - cos(x))/2

Then the given equation is identical to

sin²(θ) = 1 - cos(θ)

Also recall the Pythagorean identity,

sin²(θ) + cos²(θ) = 1

Then we rewrite the equation as

1 - cos²(θ) = 1 - cos(θ)

Factoring the left side, we have

(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)

and so

(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0

and we factor this further as

(1 - cos(θ)) (1 + cos(θ) - 1) = 0

which gives

cos(θ) (1 - cos(θ)) = 0

Then either

cos(θ) = 0   or   1 - cos(θ) = 0

cos(θ) = 0   or   cos(θ) = 1

[θ = arccos(0) + 2nπ   or   θ = -arccos(0) + 2nπ]

…   or   [θ = arccos(1) + 2nπ   or   θ = -arccos(1) + 2nπ]

(where n is any integer)

[θ = π/2 + 2nπ   or   θ = -π/2 + 2nπ]   or   [θ = 0 + 2nπ]

In the interval 0 ≤ θ < 2π, we get three solutions:

• first solution set with n = 0   ⇒   θ = π/2

• second solution set with n = 1   ⇒   θ = 3π/2

• third solution set with n = 0   ⇒   θ = 0

So, the first choice is correct.


Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:

Answers

Answer:

C

Step-by-step explanation:

32 / 4  = 8

56 / 7 = 8

64 / 8 = 8

I need the answers for this please

Answers

Answer:

A AND B IS TRUE  C IS FALSE

Step-by-step explanation:

which expression is equivalent to (tan(θ/2))(sin θ)

Answers

Answer:

B) [tex]-1+cos\theta[/tex]

Step-by-step explanation:

[tex](tan(\frac{\theta}{2}))(-sin\theta)[/tex]

[tex](\frac{1-cos\theta}{sin\theta})(-sin\theta)[/tex]

[tex](\frac{-sin\theta+sin\theta cos\theta}{sin\theta})[/tex]

[tex]-1+cos\theta[/tex]

Therefore, option B is correct

Helpful Tips:

Half-Angle Formula: [tex]tan(\frac{\theta}{2})= \frac{1-cos\theta}{sin\theta}=\frac{sin\theta}{1+cos\theta}=\pm\sqrt{\frac{1+cos\theta}{2}}[/tex]

12a^2*b^4-36a^2*b+44abc

Answers

Let's simplify step-by-step.

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]

There are no like terms.

Answer:

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]

he school that Tony goes to is selling tickets to a play. On the first day of ticket sales the school
sold 9 adult tickets and 8 student tickets for a total of $164. The school took in $73 on the second
day by selling 2 adult tickets and 7 student tickets.

What is the price each of one adult ticket?

What is the price each of one student ticket?

Plz explain how to do this

Answers

Answer:

The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars

Step-by-step explanation:

Make a system of equations for the two days that the play was shown.

Let x = the price of an adult ticket

Let y = the price of a student ticket

For the first day:

9x+8y=164

For the second day:

2x+7y=73

Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.

18x+63y= 657-18x+16y= 3280x+ 47y= 329divide both sides by 47y = 7Plug in 7 for y for the 2nd equation2x+7(7)=732x+49=73subtract 49 from both sides2x= 24divide both sides by 2x = 12 Check:2(12)+7(7)=7324+49= 73!

Answer: And I don’t know math

Step-by-step explanation:

Find the area for each of the given shapes below. If a shape has shading, find the area of the shaded region only.

Answers

Answer:

  a.  39 ft²

  c. 2x² +11x +12

  e. 35 yd²

Step-by-step explanation:

a.

The missing vertical dimension is 5-3 = 2'. The missing horizontal dimension is 11-8 = 3'. Then the figure can be decomposed into a rectangle 11'×3' and one that is 3'×2'. The sum of those areas is ...

  total area = (11 ft)(3 ft) +(3 ft)(2 f) = (3 ft)(11 +2 ft) = (3 ft)(13 ft) = 39 ft²

__

c.

We don't know what to make of the rectangles in each corner, so we'll assume they are distorted right-angle indicators. The area is the product of the dimensions shown:

  A = LW

  A = (2x +3)(x +4) = 2x² +11x +12 . . . area of figure

__

e.

The shaded area is half the area of the rectangle. That is the same area you get if you use the triangle formula for the area of the shaded triangle.

  A = 1/2(14 yd)(5 yd) = 35 yd²

Graph the solution to the system
-x+y>2
X+2y>2

Answers

Answer:

[tex]\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}[/tex]

Step-by-step explanation:

Step 1: Solve the system of equations

[tex]\begin{bmatrix}-x+y>2\\ x+2y>2\end{bmatrix}[/tex]

Isolate [tex]y[/tex] for [tex]-x+y>2[/tex]

[tex]\mathrm{Add\:}x\mathrm{\:to\:both\:sides}[/tex]

[tex]-x+y+x>2+x[/tex]

[tex]y>2+x[/tex]

Isolate [tex]y[/tex] for [tex]x+2y>2[/tex]

[tex]\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}[/tex]

[tex]2y>2-x[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2y}{2}>\frac{2}{2}-\frac{x}{2}[/tex]

[tex]y>\frac{2-x}{2}[/tex]

[tex]\bold{=\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}}[/tex]

Step 2: Graph

Instructions for graphing:

[tex]\mathrm{1.\:Graph\:each\:inequality\:separately.}[/tex]

[tex]\mathrm{2.\:Choose\:a\:test\:point\:to\:determine\:which\:side\:of\:the\:line\:needs\:to\:be\:shaded.}[/tex]

[tex]3. \mathrm{The\:solution\:to\:the\:system\:will\:be\:the\:area\:where\:the\:shadings\:}\\\mathrm{from\:each\:inequality\:overlap\:one\:another.}[/tex]

When done, it should look like this:


The students in Class A and Class B were asked how many pets they each have. The dot plots below show the
results
Students in Class A
Number of Pets
Students in Class B

What is the difference between the ranges in the dot plot

Answers

Answer:

The answer is 2

Step-by-step explanation:

The range of class A is 5-0 = 5

The range of class B is 3-0 = 3

the difference between 3 and 5 is 2.

find the value
9-2(--6-4)

Answers

70 would be the answer

Help me plzzzzzzz! I need this today!

Answers

Answer:

it looks like y int is about 2550

Step-by-step explanation:


A U.S. citizen invested a $1200 government stimulus check they received on March 1, 2020,
into stocks that grew with an annual percentage rate of 20.2%, compounded continuously.
How much are these stocks worth 9 months later on December 1, 2020? Round to two
decimal place accuracy. (Hint: 9 months = 0.75 years)

Answers

The stocks are worth $ 1396.29 nine months later.

Using the continuous compounding formula,

[tex]A = Pe^{rt}[/tex] where

A = final amount of stocks P = initial amount of stocks = $1200, r = compounding rate = 20.2 % = 0.202 t = 9 months = 0.75 years

Substituting the values of the variables into the equation, we have

[tex]A = Pe^{rt}[/tex]

[tex]A = 1200e^{0.202 X 0.75}\\A = 1200e^{0.1515}\\A = 1200(1.1636)\\A = 1396.29[/tex]

So, the stocks are worth $ 1396.29 nine months later.

Learn more about continuous compounding here:

https://brainly.com/question/24722580

Help me with this question lol

Answers

Answer:

i think that it would be 0

Simplify 1.25 (-x -4)

Answers

Answer:

1.25(-xsquare - 8x + 16)

Step-by-step explanation:

pls give me brainliest

I'm not sure but I think so

Which graph shows a function and it’s inverse?

HELP PLEASE

Answers

Answer:

C

Step-by-step explanation:

A function and its inverse are obtained by reflecting in the line y = x

Under a reflection in the line y = x

a point (x, y ) → (y, x )

In graph C

the red line has a point (0, 2 )

the blue line has a point (2, 0 )

Then graph C shows a function and its inverse

The perimeter of a rectangle is 39.2 km, and its diagonal length is 14 km.
Find its length and width

Answers

Using the formulas to find its length =

P= 2 ( l + w )

d= w² + l²

There are 2 solutions for,

l = P / 4 + 1 / 4 √8d² - p²

= 39.2 / 4 + 1 / 4 × √8 × 14² - 39²

= 11. 2 km answer.

Using the formula to find its width =

w = p / 2 - l

= 39.2 / 2 - 11.2

= 8.4 km answer.

≈ the length of a rectangle is 11.2 km and the width is 8.4 km

el valor númerico del término n=15 de la sucesión 5 20 80... es?​

Answers

Answer:

É 5x3=15

Step-by-step explanation:

Which equation correctly uses the law of cosines to solve for y? 92 = y2 + 192 – 2(y)(19)cos(41°) y2 = 92 + 192 – 2(y)(19)cos(41°) 92 = y2 + 192 – 2(9)(19)cos(41°) y2 = 92 + 192 – 2(9)(19)cos(41°) PLS HELP!!

Answers

Answer:

[tex]Fourth \: option: y^2=9^2+19^2-2(9)(19) cos(41°)[/tex]

[tex]The \: law \: of \: cosines \: to \: solve \: for \: one \: side  \: is:[/tex]

[tex]c^2=a^2+b^2-2ab \: cos \: C[/tex]

We must know the other two sides (a and b) and the angle between these sides (angle C, the opposite to the side that we want to determine)

In this case c=y, a=9, b=19, and C=41°, then:

[tex]y^2=9^2+19^2-2(9)(19) \: cos \: (41°)[/tex]

PLEASE help me answer this!!!

Answers

Check the picture below.

please help me in this question
3(x-2)=2x+10​

Answers

Answer:

[tex]3(x-2)=2x+10\\3x-6=2x+10 | +6\\3x=2x+16 | -2x\\x = 16[/tex]

30.

a) [tex]180^{0} - 134^0-22^0=24^0[/tex]

[tex]r=24^0[/tex]

b)

[tex]90^0=2x^0+3x^0\\90^0=5x^0 |:5\\x^0=18^0[/tex]

[tex]2x^0= 2* 18^0=36^0[/tex]

[tex]3x^0=3*18^0=54^0[/tex]

Take care!

A hose fills a pool up at a rate of 15 gallons every 2 hours. At this rate how many
gallons of water will be in the pool in 24 hours?

Answers

Answer:

there will be 180 gallons of water in the pool after 24 hours

Step-by-step explanation:

[tex]\frac{15}{2} *\frac{12}{12}= \frac{180}{24}[/tex]

Answer:

180 gallons

Step-by-step explanation:

Ok so,

2 hours = 15 gallons.

if we multiply both sides by 12 we can find out how many gallons of water will be in the pool in 24 hours

2 x 12 = 24

15 x 12 = 180

There will be 180 gallons of water in the pool after 24 hours.

What is the horizontal asymptote of j(x)=14x^3+45/2x^3+x+9

Answers

Answer:

It's C! y = 7

Step-by-step explanation:

Yesterday, Carmen went surfing and was out for 5 hours. Today, she spent 60% more time
than yesterday riding waves. How long was Carmen out surfing today?

Answers

Answer:

Today, Carmen out surfing for 8 hours

Step-by-step explanation:

160/100 × 5 = 8

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