There are ten eggs in a carton. How many eggs are in four cartons?

By evaluating the expression in y = 5 we will see that the depth after 5 minutes is -165 ft. (or 165 feet below sea level).

We know that the expression:

-230 + 13*y

Represents the depth of the submarine as a function of time. Then y is the time in minutes, so we can write:

depth = -230 + 13*y

To get the depth after 5 minutes, just replace the variable y by the number 15, then you will get:

depth = -230 + 13*5

depth = -230 + 65

depth = -165

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Answer: absolute value

Step-by-step explanation:

Sorry for my writing it’s horrible ik I’m in a hurry rn lol

Answer:

uhhhhhhh nice

Step-by-step explanation:

Answer:

Just why

Step-by-step explanation:

The only equation that can be written as a second-order, linear, homogeneous differential equation is "y" + 2y = 0.

A second-order differential equation is an equation that involves the second derivative of the function. In this case, the equation "y" + 2y = 0 is the only option that includes a second derivative term, denoted as "y".

To be considered linear, the equation should involve the function and its derivatives with coefficients that do not depend on the function itself. In this case, "y" + 2y = 0 satisfies this condition.

For an equation to be homogeneous, all terms in the equation should involve the function and its derivatives, without any constant terms. Again, "y" + 2y = 0 meets this requirement.

Therefore, the equation "y" + 2y = 0 is the only equation among the options provided that can be written as a second-order, linear, homogeneous differential equation.

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Answer:

y = 1.56 x - 4.105

which agrees with answer "B" in your list of possible options.

Step-by-step explanation:

Notice that you are expected to use some type of regression tool for this problem. either a computer program or a handheld graphing calculator with such functionality.

I have entered the set of data points in two separate lists, one for the x-values,and another one for the y-values, and run the linear regression tool in order to get the best fitting line. See what I obtained using this tool in the screen capture I am attaching below.

Notice that the line of best fit reads:

y = 1.56015038 x - 4.10526316

showing clearly the slope and y-intercept of the line of best fit.

Rounding slope and y-intercept to the third decimal, we get:

y = 1.56 x - 4.105

which agrees with answer "B" in your list of possible options.

The rectangular form of the polar equation \(18r = 2\sec \theta\) is \(9x = \frac{1}{\cos \theta}\).

To convert the given polar equation to rectangular form, we use the following conversions:

\(r = \sqrt{x^2 + y^2}\) (distance from the origin)

\(\sec \theta = \frac{1}{\cos \theta}\) (reciprocal identity)

Substituting these conversions into the equation, we have:

\(18 \sqrt{x^2 + y^2} = 2 \cdot \frac{1}{\cos \theta}\)

Simplifying further, we get: \(9 \sqrt{x^2 + y^2} = \frac{1}{\cos \theta}\)

Since \(\cos \theta = \frac{x}{\sqrt{x^2 + y^2}}\) (from the definition of cosine in terms of x and y), we can rewrite the equation as:

\(9 \sqrt{x^2 + y^2} = \frac{1}{\frac{x}{\sqrt{x^2 + y^2}}}\)

Simplifying and multiplying both sides by \(\sqrt{x^2 + y^2}\), we obtain:

\(9x = \frac{1}{\cos \theta}\)

Therefore, the polar equation \(18r = 2\sec \theta\) can be expressed in rectangular form as \(9x = \frac{1}{\cos \theta}\).

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y=-9x-4

Slope intercept form uses the formula, y=mx+b, where m is the slope and b is the y- intercept.

I hope this helps. Have a great day!

Answer:

Y=-9x-4

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b. M is the slope and b is the y-intercept. All you need to do is plug in the numbers. I hope I helped. :>

To solve the equation 10x dy/dx - 2y = x-3, we will use the method of separation of variables, we get 5x ln(2y - x + 3) + (5/2) x^2 - (1/2) (2y - x + 3)^2 = x + C

This method involves rearranging the equation so that all terms involving x are on one side and all terms involving y are on the other side. Then, we can integrate both sides of the equation to find the general solution. Here are the steps:

Rearrange the equation to separate the variables:

10x dy/dx = 2y + x - 3

10x dy = (2y + x - 3) dx

Separate the variables:

10x dy = 2y dx + x dx - 3 dx

10x dy - 2y dx = x dx - 3 dx

(10x dy - 2y dx)/(2y - x + 3) = dx

Integrate both sides of the equation:

∫(10x dy - 2y dx)/(2y - x + 3) = ∫dx

Use the substitution method to solve the integral on the left side of the equation. Let u = 2y - x + 3, then du = 2 dy - dx:

∫(10x (du/2 + dx) - 2u du)/(u) = ∫dx

5x ∫du + 5 ∫x dx - ∫u du = ∫dx

5x ln(u) + (5/2) x^2 - (1/2) u^2 = x + C

Substitute back for u and simplify:

5x ln(2y - x + 3) + (5/2) x^2 - (1/2) (2y - x + 3)^2 = x + C

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The work done by the vector field F = -8y i + 8x j + 3z^4 k over the curve C, given by r(t) = cos(t) i + sin(t) j, from t = 0 to t = π/4, in the direction of increasing t, is equal to -1/4.

To calculate the work done by the vector field F over the curve C, we use the line integral formula:

Work = ∫ F · dr,

where dr represents the differential displacement vector along the curve C.

In this case, F = -8y i + 8x j + 3z^4 k and r(t) = cos(t) i + sin(t) j. To find dr, we differentiate r(t) with respect to t:

dr = (-sin(t) i + cos(t) j) dt.

Now, we can calculate F · dr:

F · dr = (-8sin(t) i + 8cos(t) j + 3z^4 k) · (-sin(t) i + cos(t) j) dt

      = -8sin(t)cos(t) + 8cos(t)sin(t) dt

      = 0.

Since the dot product is zero, the work done by F over the curve C is zero. Therefore, the work done by F over the curve C, in the direction of increasing t, from t = 0 to t = π/4, is equal to 0.

Hence, the work done by the vector field F over the curve C in the direction of increasing t is 0.

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Answer:

I ain't never seen 2 pretty bestfriends

Step-by-step explanation:

Answer:

Don't wanna do math :(

Step-by-step explanation:

Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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Function: P = 25,000(1+0.0095)^(t/365)

Daily Growth Rate: 0.003%

Answer: The answer is 0.20

Step-by-step explanation:  To find a scale factor all you need to do is find the ratio of a side on the scaled shape to its corresponding side on the original figure.  We know the bottom of the scaled figure is 0.5 and the same side on the original rectangle was 2.5 so we can just divide like so...

0.5/2.5 = 0.2 which is our correct answer.  I hope this has been of use to you :)  If you have any other questions please do not hesitate to ask!

Answer:

92°

Step-by-step explanation:

We can say that the angle that is of x degrees is an inscribed angle because its vertex is on the circle and its sides are made up of rays. When you have an inscribes angle, it measures exactly half the angle it intercepts. In this case that angle is 184°. So, because of this we can say:

x = 184° / 2

x = 92°

The slope of the linear function shown is of -1/3.

A linear function, in slope-intercept formula, is modeled by:

y = mx + b

In which:

Given two points of a line, the slope is given by change in y divided by change in x.

In this problem, the line goes through points (-3,0) and (0,-1), hence the slope is given by:

m = (0 - (-1))/(-3 - 0) = 1/-3 = -1/3.

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The correct answer is: 0, -3, and 3. At  0, -3, and 3 of x does fx) x4-18x2 have a critical point where the graph changes from decreasing to increasing.

To find the critical points where the graph of the function f(x) = x^4 - 18x^2 changes from decreasing to increasing, we need to find the values of x where the derivative of the function is equal to zero or does not exist.

Let's find the derivative of f(x) with respect to x:

f'(x) = 4x^3 - 36x

To find the critical points, we set the derivative equal to zero and solve for x:

4x^3 - 36x = 0

Factor out 4x:

4x(x^2 - 9) = 0

Now we have two factors:

1) 4x = 0, which gives x = 0

2) x^2 - 9 = 0, which gives x = ±3

So, the critical points where the graph changes from decreasing to increasing are x = 0, x = -3, and x = 3.

Therefore, the correct answer is: 0, -3, and 3.

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Leaving the TV on for two weeks while on vacation would cost you approximately $4.46.

To calculate the cost, we need to determine the total energy consumed by the TV while you were on vacation and then convert it to dollars.

First, let's calculate the energy consumption in kilowatt-hours (kWh):

Power (in kilowatts) = Voltage (in volts) * Current (in amps) / 1000

Power = 120 V * 0.96 A / 1000 = 0.1152 kW

Now, we need to find the total energy consumed in kilowatt-hours (kWh) over the two-week period:

Energy (in kilowatt-hours) = Power (in kilowatts) * Time (in hours)

Energy = 0.1152 kW * 24 hours/day * 14 days = 38.4512 kWh

Next, let's calculate the cost of this energy consumption:

Cost = Energy (in kilowatt-hours) * Cost per kilowatt-hour

Cost = 38.4512 kWh * $0.116/kWh = $4.46 (rounded to two decimal places)

Therefore, leaving the TV on for two weeks while on vacation would cost you approximately $4.46.

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Answer:

Part A:

When the temperature was cool the more longboards got rented. Most of the longboards got rented when it was 10C out.

Part B:

The line would fit at the coordinates: (5,0) (15.5) (24,10) (30,13) (35,15) (45,20) (55,25) (60,27)

The volume of the solid generated when the right triangle below is rotated about side is 564.2.

The volume will be calculated by using the formula:

= 1/3πr²h

where, r = 7

h = 11

Therefore, the volume will be:

= 1/3πr²h

= 1/3 × 3.14 × 7² × 11

= 564.2

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By applying rate of change concept it can be concluded that the area will change at a rate of 176 cm² / minute.

Rate of change is the change in values of a dependent variable concerning the independent variables.

The rate of change of a function shows how the function is changing from one x value to another. Whilst, differentiation is when you have an instantaneous rate of change at a single point.

We have the following information:

The rate of change of a circle = 7 cm/minute = dr/dt

We have to find the rate of change of the circle when r = 4 cm

To do so, we will use the derivative of the circle area:

A = πr²

dA/dr = 2πr

dA/dt = dA/dr × dr/dt

         = 2πr × 7  

         = 14πr

Now we input r = 4 cm into this equation:

rate of change of the area =  14*22/7*4

                                            =  176 cm² / minute

Thus, when r = 4 cm, the area will change at a rate of 176 cm² / minute.

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Answer:

Technically Andrew since his sum is technically "higher" than the rest of the negative numbers.

Answer:

Andrew

Step-by-step explanation:

Andrew since his sum is practically greater than the rest of the negative numbers.

Answer:im confused

im still confused

This is not a question do not post random things

Answer:

thank yoy so much for these free points, and I hope you have the best day because you deserve to have a really good day

Step-by-step explanation:

Please mark me as brainliest!

Answer:

awwww tyyy!! that was rlly kind of you!! :3 have a nice day <3 (also sorry if I'm too late XD)

Step-by-step explanation:

tyyy again!!

the answer is 0.6

the force would be 6.0, and acceleration would be 10 pretty much you divided force and acceleration to find your mass

m=f/a

m=6.0/10

m=0.6

The interest rate on Malik's saving account is 4.62%. This was calculated by finding the total amount after 4 years, subtracting the original deposit, and then dividing the interest earned by the original deposit and multiplying by 100.

1. Calculate the total amount in the account after 4 years: 1050 + 241.50 = 1291.50

2. Calculate the interest earned: 1291.50 - 1050 = 241.50

3. Calculate the interest rate: 241.50 / 1050 x 100 = 4.62%

The interest rate on Malik's saving account is 4.62%. This was calculated by finding the total amount after 4 years, subtracting the original deposit, and then dividing the interest earned by the original deposit and multiplying by 100.

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In general, football athletes are weightier in comparison to their baseball counterparts.

This is predominantly due to the fact that football necessitates greater physical power and bulk for defensive maneuvers such as tackling and blocking. Contrarily, baseball places greater emphasis on quickness, dexterity, and the ability to coordinate hand movements with visual perception.

If your friend's weight is 180 pounds, it is probable that their weight falls within the expected range for a baseball player's weight. The weights of baseball players may differ, as some players with a lighter build concentrate on agility while others who are heavier excel at strength-based hits.

A football player weighing 180 pounds would probably be considered comparatively lightweight in football, especially when compared to players in the offensive and defensive lines.

The most suitable sport for your friend would ultimately rely on their specific interests, abilities, and physical characteristics.

Opting for baseball could be a wiser decision if their focus pertains to a sport that highlights nimbleness, swift movement, and adeptness in coordinating hands and eyes. If their preference is for a sport that involves physical contact and demands strength and mass, football may be a more suitable option.

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Answer:

The total of Jenny's 5 tests = 375

If she wants an average of 77 then

her 6 tests must total 6 x 77 = 462

462 - 375 = 87 which is what Jenny

must score on the sixth test for an

average of 77.

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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