A seal went 25 feet below sea level to catch a fish. A sea lion dove 10 feet less than three times as deep as the seal to catch a larger fish. Which expression represents the sea lion’s position in relation to sea level?
3(25) – 10
25 – 3(10)
3(–25) – 10
3(–25) – (–10)

Answer:

2/3 would be pure juice.

Step-by-step explanation:

This is because if you have 3/3 of juice and add 2 it would make it 2/3 or 66.66666666666% juice

Answer:

The sum is $10

Step-by-step explanation:

Since Tony got $5 on Monday and $5 on Tuesday, we can add them together by doing 5+5. We can add 5 and 5 together to get a total of $10 that Tony has earned. This means that it isn't a sum of 0 but a sum of 10.

(hope this helped)

Answer:

Step-by-step explanation:

if the sum of two consecutive even numbers is 42 find the number

42 - 2 = 40                       remove the difference (2)

40 : 2 = 20                       find the smallest number

20 + 2 = 22                      find the largest number

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

(20 + 22 = 42)                

Answer:

2nd one

Step-by-step explanation:

sorry if that is incorrect it should be right though

Answer:

30

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

5/6 of 48

In math, when the word "of" is used, it means multiplication.

5/6 of 48 ---> 5/6 × 48 = 40

How much does 6 goes in 48? Anser is 8 since 6 × 8 = 48. So this means that 6 and 48 cancels out remaining 8 and 5. 5 × 8 = 40 which is your answer. Hope this helps, thank you :) !!

Answer:

10xline y =46

Step-by-step explanation:

this is what i got dont thank me im not the best at math

With the given ratio of red to blue cars, which is 3:4, Evan has 16 blue toy cars.

To find the number of cars, follow these steps  -

1: Identify the ratio - Red cars:Blue cars = 3:4

2: Determine the number of red cars - Evan has 12 red toy cars.

3: Find the ratio equivalent to the number of red cars - 12 red cars / 3 (from the ratio) = 4

4: Multiply the ratio of blue cars by the equivalent found in step 3 - 4 (from the ratio) * 4 = 16

So, Evan has 16 blue toy cars.

To know more about ratio refer here :

https://brainly.com/question/13940389#

#SPJ11

* Kendra and her family used:

** 4 liters of fuel on day 1

*** 3 liters of fuel on day 2

**** 2 liters of fuel on day 3

***** 4 liters of fuel on day 4

So in total they used:

4 + 3 + 2 + 4 = 13 liters of fuel

Therefore, the amount of fuel they used in all is:

13 liters

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

how i understand this is:

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by

100    

=125%?

(correct me if am wrong)

The quadratic equation written in vertex form is:

A(x) = x^2 - 4

Here we want to find the vertex form of the quadratic equation:

A(x) = (x + 2)*(x - 2)

Remember that for a quadratic equation with the vertex (h, k) and leading coefficient a is written as:

f(x) = a*(x - h)^2 + k

Now, notice that the zeros of the quadratic function are x = -2 and x = 2.

Then the vertex is just between these two, at x = 0.

Then h = 0, and the y-value of the vertex is what we get when we evaluate in x = 0.

k = (0 + 2)*(0 - 2) = 2*-2 = -4

Then the vertex is (0, -4) and the leading coefficient is 1, we can write the quadratic equation as:

A(x) = (x - 0)^2 -4

A(x) = x^2 - 4

Learn more about quadratic equation at:

https://brainly.com/question/1214333

#SPJ1

Answer:jkbknknkjnkjnjknkjn

chickenn good

lkgrjmrw[ekrg[pke[pkg[p'4p[t[4pewk'[kpew[4rkp;wek4rkpwe

Step-by-step explanation:

djwhdj 83u289 4 []t [5t;.3p3 p-o- o]34-or

er

g

5

tg45

t

45

t

45t

45

t

54

t

45

t

545[[45

t4t5

5t45[

[54[t[t]5[t54[t45

5

4

The relation r defined on a is an equivalence relation, as it is reflexive, symmetric, and transitive.

Given x = {−1, 0, 1} and a = (x), where a is the set of all subsets of x. We define a relation r on a as follows:

For all sets s and t in a, s r t ⇔ the sum of the elements in s equals the sum of the elements in t.

To understand this relation, let's consider an example. Suppose s = {−1, 1} and t = {0, 1}. The sum of the elements in s is −1 + 1 = 0, and the sum of the elements in t is 0 + 1 = 1. Since the sum of the elements in s is not equal to the sum of the elements in t, s is not related to t under r.

Now, let's consider another example. Suppose s = {−1, 0, 1} and t = {−1, 1}. The sum of the elements in s is −1 + 0 + 1 = 0, and the sum of the elements in t is −1 + 1 = 0. Since the sum of the elements in s is equal to the sum of the elements in t, s is related to t under r.

We can also observe that the relation r is reflexive, symmetric, and transitive.

Reflexive: For any set s in a, the sum of the elements in s equals the sum of the elements in s. Therefore, s r s for all s in a.

Symmetric: If s r t for some sets s and t in a, then the sum of the elements in s equals the sum of the elements in t. But since addition is commutative, the sum of the elements in t also equals the sum of the elements in s. Therefore, t r s as well.

Transitive: If s r t and t r u for some sets s, t, and u in a, then the sum of the elements in s equals the sum of the elements in t, and the sum of the elements in t equals the sum of the elements in u. Therefore, the sum of the elements in s equals the sum of the elements in u, and hence, s r u.

Learn more about “  equivalence relation “ visit here;

https://brainly.com/question/14307463

#SPJ4

Answer:

It is the first answer y=- x + 5 and y = x - 3

Step-by-step explanation:

y=-x+5 and y=x-3 is the system of linear equations for the given table values.

Two or more expressions with an Equal sign is called as Equation.

A system of linear equations is usually a set of two linear equations with two variables.

x       y

0      5

5      0

2      3

4       1

Let us find equation of these values by considering any two points.

Slope: m=1-3/4-2=-2/2=-1

1=-1(4)+b

1+4=b

b=5

So y=-x+5 is the linear equation for first table.

x        y

0       -3

3       0

5       2

-1       -4

Slope m=-4-2/-1-5=-6/-6=1

Now find the y intercept

-4=1(-1)+b

-4+1=b

-3=b

y=x-3 is the equation of second table.

Hence,  y=-x+5 and y=x-3 is the system of linear equations for the given table values.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ12

Answer:

The equation of the line that passes through (-1,2) and is perpendicular to y=1-2x is \(\mathbf{y=\frac{1}{2} x+\frac{5}{2}}\)

Step-by-step explanation:

We need to write the equation of the line that passes through (-1,2) and is perpendicular to \(y=1 - 2x\)

The equation must be in form  \(y=mx+c\) has m equals to slope and c equals to y-intercept

So, we need to find slope and y-intercept.

Finding Slope

When the lines are perpendicular there slopes are opposite to each other.

Slope of given equation is:

\(y=1 - 2x\)

We can write it as: \(y=-2x+1\)

Comparing it with  \(y=mx+c\) we get m = -2

Now, The slope of given equation is: m = -2

The slope of required equation will be: m=\(\frac{1}{2}\)

Finding y-intercept

Using point (-1,2) and slope m=\(\frac{1}{2}\), we can find y-intercept

\(y=mx+c\\2=\frac{1}{2} (-1)+c\\2=-\frac{1}{2} +c\\c=2+\frac{1}{2} \\c=\frac{4+1}{2}\\ c=\frac{5}{2}\)

So, y-intercept is: c = \(\frac{5}{2}\)

Equation of line

Now, the equation of line having slope m=\(\frac{1}{2}\)  and c = \(\frac{5}{2}\) is:

\(y=mx+c\\y=\frac{1}{2} x+\frac{5}{2}\)

So, the equation of the line that passes through (-1,2) and is perpendicular to y=1-2x is \(\mathbf{y=\frac{1}{2} x+\frac{5}{2}}\)

The equation of required line is \(y=\dfrac{1}{2}x+\dfrac{5}{2}\).

Given:

A line passes through \((-1,2)\) and is perpendicular to \(y=1-2x\).

To find:

The equation of the line.

Explanation:

We have,

\(y=1-2x\)

On comparing this equation with \(y=mx+c\), we get

\(m=-2\)

So, the slope of the given equation is \(-2\).

The product of slopes of two perpendicular lines is always \(-1\).

\(m_1\times m_2=-1\)

\(-2\times m_2=-1\)

\(m_2=\dfrac{-1}{-2}\)

\(m_2=\dfrac{1}{2}\)

The slope of the required line is \(\dfrac{1}{2}\) and it passes through the point \((-1,2)\). So, the equation of the line is:

\(y-2=\dfrac{1}{2}(x-(-1))\)

\(y-2=\dfrac{1}{2}(x+1)\)

\(y=\dfrac{1}{2}x+\dfrac{1}{2}+2\)

\(y=\dfrac{1}{2}x+\dfrac{5}{2}\)

Therefore, the equation of required line is \(y=\dfrac{1}{2}x+\dfrac{5}{2}\).

Learn more:

https://brainly.com/question/15372061

Answer:

(a)

\(r\geq 5\)

\(r+y\leq 15\)

\(8r+12y\geq 120\)

\(y\geq 0\)

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

\(r\geq 5\)

Since she does yard work, \(y\geq 0\)

Lia’s parents allow her to work a maximum of 15 hours per week overall.

\(r+y\leq 15\)

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

\(8r+12y\geq 120\)

The system of inequalities that represent this problem is therefore:

\(r\geq 5\)

\(r+y\leq 15\)

\(8r+12y\geq 120\)

\(y\geq 0\)

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

To know more about depreciation, refer here:

https://brainly.com/question/30531944

#SPJ11

The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

learn more about gain here:

https://brainly.com/question/31218742

#SPJ11

Answer:

2x(x + 4)

Step-by-step explanation:

The greatest common factor of 2x^2 and 8x is 2x. So, we can factor out 2x to get:

2x(x + 4)

The definition of a greatest common factor (GCF) is the largest number that is a factor of two or more numbers. In this case, 2x is the GCF of 2x^2 and 8x because it is the largest number that divides both numbers evenly.

Here are the steps on how to factor out the GCF:

In this case, the factored expression is 2x(x + 4).

The answer is:

Work/explanation:

Let's find something that \(\sf{2x^2}\) and \(\sf{8x}\) have in common.

In other words, we find their GCF (greatest common factor).

The GCF of \(\sf{2x^2}\) and \(\sf{8x}\) is 2x.

So I factor it out :

\(\sf{2x(x+4)}\)

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

TO learn more about trigonometric ratio refer the below link

https://brainly.com/question/24349828

#SPJ4

Answer:

0.31x + 2.4 + 3.4p

Step-by-step explanation:

combine like terms

Answer:

C. 6.475 is the answer

The approximate length of the midsegment parallel to xy is 6.63

The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.

To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.

Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.

First, let's find the midpoint of side xw:

Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)

Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )

The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Length line of midpoint xw and midpoint yw :

√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44

So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63

Learn more about midsegment of triangle here

https://brainly.com/question/21103382

#SPJ4

Answer: x = 1

Step-by-step explanation:

we have

x tetras

3 goldfish

5 platies.

the total number of fishh in the bowl is x + 3 + 5

The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:

p = 3/(x + 3 + 5) = 1/3

3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3

9 = x + 3 + 5

x = 9 - 8 = 1

then wemust have that x = 1

because 1 + 3 + 5 = 9

and 3/9 = 1/3

Answer:

√104

Step-by-step explanation:

missing side = \(\sqrt{15^2-11^2} = \sqrt{225-121} = \sqrt{104}\)

Answer:

Answer on a graph

The area of the circle with the two perpendicular chords will be 177.56 squared cm.

We have,

Two perpendicular chords of length 12.2 cm and 8.8 cm and have common end point,

So,

Now,

As we can see in figure,

AB is perpendicular to AC,

And,

AB = 12.2 cm and AC = 8.8 cm,

Now,

Taking O as center and join OA, we get our Radius,

i.e.

OA = r

And,

Taking,

OM perpendicular to AB and ON perpendicular to  AC,

We get,

ON = \(\frac{1}{2}\) AB = \(\frac{12.2}{2}\) = 6.1 cm

And,

OM = \(\frac{1}{2}\) AC = \(\frac{8.8}{2}\) = 4.4 cm

So,

In Δ AOM,

Using Pythagoras Theorem,

OA² = AM² + OM²

Now putting values,

OA² = (6.1)² + (4.4)²

We get,

OA² = 37.21 + 19.36

OA² = 56.57

On solving we get,

OA = 7.52cm

So,

The Area of the circle = πr²

i.e.

The Area of the circle = 3.14 × (7.52)²

On solving we get,

The Area of the circle = 177.56 squared cm

Hence we can say that the area of the circle with the two perpendicular chords will be 177.56 squared cm.

Learn more about circle here

https://brainly.com/question/27683633

#SPJ4

Answer:

See below, and note the interpretation of the question.

Step-by-step explanation:

See the attached image for a graph of all the lines and points.

1. Write an equation in slope-intercept form of the line given the slope=" 1/4 pass through (-2,1).

1.  Look for an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x is zero).

We are given the slope, so use that for m:  y = (1/4)x + b.

We need a value of b that forces the line through point (-2,1).  This can be done by entering the point into the above equation and solving for b:

y = (1/4)x + b

1 = (1/4)*(-2) + b [for (-2,1)]

1 = -0.5+ b

b = 1.5

The equation is y = (1/4)x + 1.5

2. Write an equation in slope-intercept form of the line that passes through (0,4) and (5,19)

1.  Look for an equation of the form y=mx+b

2.  Determine the slope by calculating the Rise and Run of the two given points:

 Going from (0,4) to (5,19):    

Rise = 19-4 = 15

Run = 5 - 0 = 5

Rise/Run, or slope, m = (15/5) or 3

The equation with the slope of 5:

 y = 5x+b

3.  To find b, enter either of the 2 points into the equation and solve for b:

  y = 5x+b

   4 = 5*(0)+b    for (0,4)

   b = 4

The equation is y=5x+4

3.  Write a linear function f with the given values.

Are the expressions written correctly?  I see f and g.  I'll assume the forst two are meant to be f, and the last two a new function, g(x).:

a. f(0) = 2, f(2) = -3

b. g(-4) = -5, g(3) = - 1.

These results supply us with 2 points for each function [line]:

  f:  (0,2) and (2,-3)

 g:  (-4,-5) and (3,-1)

We can use these two points to find the slope for lines f and g:

f:  (0,2) and (2,-3)

Rise = -3 - 2 = -5

Run = 2 - 0 = 2

Slope = (-5/2) or -2.5

The equation for f is y = (-2.5)x + b

Enter one of the 2 points to find b:

  y = (-2.5)x + b

  y = (-2.5)*(0) + b  for (0,2)

  2 = b

The equation for f is f(x) = -2.5x+2

Do the same for g:

(-4,-5) and (3,-1)

Rise = (-1 - (-5)) = 4

Run = (3 - (-4)) = 7

Slope = 4/7 or 0.571

y = 0.571x + b

Substituting point (3,-1) and solving for b:

-1 = 0.571*(3) + b

b = -2.71

The equation for g is g(x) = 0.571c-2.71

See the attached image.

Answer:

a) 225 meters

b) -162°C

Step-by-step explanation:

a) 5 meters per second for 45 seconds. 5*45 = 225 meters

b) cooled by 18°C per hour over a 9 hour period. -18*9 = -162°C

Answer:

a) 225 meters.

B) -2 °

Step-by-step explanation:

a If it is moving 5 meters per second, then in one second it moves 5 meters, in 2 seconds it move 10 meters, in 3 seconds it move 15 minters.

So to find how much it moved in 454 seconds we would multiply 45 x 5 = 225

B)  In 9 hours it cooled 18 degrees 18/9 = 2.  This means that is cooled 2 degrees per hour.