y= -2x+1. 2x -2y=4. solving systems of equations using substitution​

It looks like you want to find

\(\displaystyle \int_1^4 x f''(x) \, dx\)

Integrate by parts:

\(u = x \implies du = dx\)

\(dv = f''(x) \, dx \implies v = f'(x)\)

Then

\(\displaystyle \int_1^4 x f''(x) \, dx = x f'(x) \bigg|_{x=1}^{x=4} - \int_1^4 f'(x) \, dx\)

By the fundamental theorem of calculus,

\(\displaystyle \int_1^4 f'(x) \, dx = f(4) - f(1)\)

so that

\(\displaystyle \int_1^4 x f''(x) \, dx = 4 f'(4) - f'(1) - f(4) + f(1) = 12 - 7 - 8 + 4 = \boxed{1}\)

Answer:

enwvhbdfbhwfwc m

Step-by-step explanation:

wbdwuhecjb sorry i woulda helped but i wasant taught this yet im really sorryy i need answers for a test too so im really stuck

Answer:

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

25*14= 350

350/100

3.5

Answer:

25% of 14 =

3.5

Step-by-step explanation:

hope this help have a good day

To find the rate at which the diameter of the circle is changing, we'll first need to determine the relationship between the area of the circular ripple and its radius.

The area of a circle is given by the formula A = πr². In this problem, the area is increasing at a constant rate of 5 m²/second (dA/dt = 5).

Now, we'll use implicit differentiation with respect to time (t) to find the rate of change of the radius:

dA/dt = d(πr²)/dt

5 = 2πr(dr/dt)

Since we're interested in the rate of change of the diameter (D) when the radius (r) is 4 m, and D = 2r, we'll differentiate D with respect to time:

dD/dt = 2(dr/dt)

Now, we can solve for (dr/dt) when r = 4:

5 = 2π(4)(dr/dt)

5/(8π) = dr/dt

Finally, we find dD/dt:

dD/dt = 2(5/(8π))

dD/dt = 5/(4π)

So, when the radius of the circular ripple in the pond is 4 m, the diameter is changing at a rate of 5/(4π) meters per second.

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Answer: b

Step-by-step explanation:

you start with 0 min- equals 24

1 min- 21

2 min- 18

3 min- 15

4 min- 12

5 min- 9

and so on- you look for the table that best describes that. x represents the minutes, and y represent the amount of water left in the sink.

Answer:

B

Step-by-step explanation:

After the first minute it should be at 21, because it would be reduced by 3. Second, the same. ETC

Answer:

0.96 + 0.43v

Step-by-step explanation:

You simplify, v and -0.57v are like terms, therefore you can add them together

v - 0.57v = 0.43 v

Answer:

0.96 + 0.43v

Step-by-step explanation:

What you are doing is combining like terms. Let's say v is candy I have v - .57v that means I have one candy and I ate .57 of it already so we subtract to get .43v and the .96 is brussel sprouts. We do NOT want to mix the candy and the brussel sprouts because they are different things.

If you need me to explain more let me know, but hopefully this helps and have a great day!

There are 7 ways for 345 to be written as the sum of an increasing sequence of two or more consecutive positive integers.

We need to find consecutive numbers (an arithmetic sequence that increases by 1) that sum to 345. This calls for the sum of an arithmetic sequence given that the first term is k, the last term is g, and with n elements, which is:

                                           n(k+g)/2.

There are 7 ways can 345 be written as the sum of an increasing sequence of two or more consecutive positive integers.

We look for sequences of n consecutive numbers starting at k and ending at k + n − 1. We can now substitute g with k+n- 1. Now we substitute our new value of g into n(k + g)/2 to get the sum i.e.

                                n(k+k+n-1)/2 = 345

This simplifies to n(2k+n-1)/2 = 345.

This gives a nice equation. We multiply out the 2 to get that n. (2k+n-1): =690. This leaves us with 2 integers that multiply to 690 which leads us to think of factors of 690.

We know the factors of 690 are:

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

So, through inspection (checking), we see that only 2, 3, 5, 6, 10, 15, and 23 work. This gives us the answer to 7 ways.

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Answer:

36kg

Step-by-step explanation:

The dog eats 16kg per week, which is 32kg in 2 weeks

The cat eats 2kg per week, which is 4kg in 2 weeks

32+4=36

Answer:

Verduras= $100

Lacteos= $60

Menestras= $120

Frutas y verduras= $80

Limpieza= $40

Step-by-step explanation:

Presupuesto= $400

Primero determinamos la proporción a gastar en cada rubro:

Verduras= 0.25

Lacteos= 0.15

Menestras= 0.3

Frutas y verduras= 0.2

Total= 0.9

Limpieza= (1 - 0.9) = 0.1

Ahora, la cantidad de dinero:

Verduras= 0.25*400= $100

Lacteos= 0.15*400= $60

Menestras= 0.3*400= $120

Frutas y verduras= 0.2*400= $80

Limpieza= 0.1*400= $40

Total= $400

y-intercept= 0

asymptote =\(lim_{n}\)→-0 (8/x) = -∞

\(lim_{n}\)→+0 (8/x) = +∞

range = R : { x ∈ R / {0} }

What is Range ?

When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.

I think the formula is:

f(x) = 8/x

(You wrote 8x; since a linear function has no asymptotes and you wrote 8x, I'm assuming the true function was 8/x.)

The amount that makes f(x) equal to 0 is the y-intercept.

Keep in mind that there is no value of x such that 8/x = 0 (because the quotient cannot be zero if the numerator is never zero).

Therefore, there is no y-intercept.

The asymmetry:

These are the four:

If the negative side of x tends to zero, then 8/x tends to negative infinity.

If x from the positive side approaches to zero, then 8/x tends to positive infinity.

These two asymptotes are expressed as follows:

\(lim_{n}\)→-0 (8/x) = -∞

\(lim_{n}\)→+0 (8/x) = +∞

Additionally, there are two cases where x tends to plus infinity (and 8/x goes to zero) and when x tends to minus infinity, where the function tends to zero once more. These two cases are denoted by the formulas:

\(lim_{n}\)→-∞ (8/x) = -∞

\(lim_{n}\)→∞ (8/x) = +∞

Lastly, the scope:

Only on limitations, y never reaches the following value:

y = 0

If so, the set of all real numbers excluding zero is the range, or

R : { x ∈ R / {0} }

Hence, y-intercept= 0

asymptote =\(lim_{n}\)→-0 (8/x) = -∞

\(lim_{n}\)→+0 (8/x) = +∞

range = R : { x ∈ R / {0} }

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Answer:

Hence the value of x= 5 units

The solutions of the differential equation y" - 6y' + 8y = 0 are \(y=3e^{2x}\)

and \(y = Ce^{4x}\). So option D II and III only is correct.

A differential equation is an equation including dependent variables and their derivatives concerning independent variables.

Given the equation is y" - 6y' + 8y = 0. This can be written as \(\frac{d^2y}{dx^2}-6\frac{dy}{dx}+8y=0\).

Now, let's substitute d/dx = m, and we get,

\(\begin{aligned}(m^2-6m+8)y&=0\\m^2-6m+8&=0\\m^2-(4+2)m+8&=0\\m^2-4m-2m+8&=0\\m(m-4)-2(m-4)&=0\\(m-4)(m-2)&=0\\m&=2,4\end{aligned}\)

Then, the general solution will be written as \(y(x)=C_1e^{2x}+C_2e^{4x}\). Then, \(y_1=C_1e^{2x}\) and \(y_2=C_2e^{4x}\). Hence, the solution of a given ODE is always this y₁ or y₂ or the combination of these. Therefore, (I) cannot be possible.

Now let's consider (II) and put \(y'=6e^{2x}\) and \(y"=12e^{2x}\) in the given equation. We get,

\(\begin{aligned}12e^{2x}-36e^{2x}+24e^{2x}&=0\\36e^{2x}-36e^{2x}&=0\\0&=0\end{aligned}\)

Hence, (II) is the solution of the given equation and is possible.

Now let's consider (III) and put C₁=0 and we get, \(y(x)=C_2e^{4x}=Ce^{4x}\)when C₂=C. Hence, (III) is possible.

Therefore, the correct option is D II and III only.

The complete question is -

Of the following, which are solutions to the differential equation y" - 6y' +8y=0?

I. y = 2 sin(4x)

II. \(y=3e^{2x}\)

III. \(y = Ce^{4x}\), where C is a constant.

A) I only B) Il only C) Ill only D) II and III only

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To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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With 95.45% confidence, we should expect the actual return of the stock in any particular year to be between approximately -18.36% and 40.36%.

To determine the range of values within which we should expect the actual return of the stock with 95.45% confidence, we can use the concept of the confidence interval. In this case, since the stock's continuously compounded annual return is assumed to follow a normal distribution, we can use the formula:

Confidence Interval = mean ± (z * standard deviation)

Here, the mean is 11% and the standard deviation is 15%. To find the value of z corresponding to a 95.45% confidence level, we need to look up the z-score associated with that confidence level. The z-score can be found using a standard normal distribution table or a calculator.

The z-score associated with a 95.45% confidence level is approximately 1.96. Plugging in the values into the formula, we get:

Confidence Interval = 11% ± (1.96 * 15%)

Calculating the confidence interval:

Lower Limit = 11% - (1.96 * 15%)

Upper Limit = 11% + (1.96 * 15%)

Lower Limit ≈ -18.36%

Upper Limit ≈ 40.36%

Therefore, with 95.45% confidence, we should expect the actual return of the stock in any particular year to be between approximately -18.36% and 40.36%.

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Answer:

12

Step-by-step explanation:

By tangent secant theorem intersecting outside of a circle, we have:

\( {x}^{2} = 6 \times (6 + 18) \\ {x}^{2} = 6 \times 24 \\ {x}^{2} = 144 \\ x = \sqrt{144} \\ x = 12 \\ \)

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.

An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.

The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.

A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.

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Step-by-step explanation:

I hope this helps! Have a good rest of your day:)

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

Note: In parallel lines the slopes are the same

so put in (-2,5) into the values for (x,y) in y=mx+b and -4 in for m.

5=(-4)(-2)+b

5=8+b

-3=b

So then we put that back into the original equation with the slope of -4

y=(-4)x-3

Hope that helps :)

The probability of getting an odd number when you roll a 6 sided die​ is 1/2

How does probability explain work?

Simple terms, probability is the probability that an event will occur. When we do not even understand how an event will come out, we can analyze the probability or likelihood from several outcomes. Statistical is the analysis of events which match a posterior distribution.

What is the likelihood that the result of a roll of a standard six-sided die will be an odd number?



A cube with six faces makes up a standard six-sided die. They have the following numbers: 1, 2, 3, 4, 5, and 6. Any integer that is not divisible by two is an odd number. The odd numbers in this situation are 1, 3, and 5. The number of successful outcomes divided by the total number of possible outcomes can be represented as a fraction to represent the likelihood that any event will occur.

There are three correct answers to this puzzle, or the three odd integers. Additionally, there are six potential outcomes, ranging from one to six. When using standard six-sided die, there is a three-sixths, or three from out six, chance that the outcome will be an odd number.

Three can be divided by both three and six. As a result, this fraction can be expressed as one-half. One is equal to three divided by three. Additionally, two is equal to six times three. One-half or one in two chances exist that the result is strange.


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Answer:

the answer is 11.

Step-by-step explanation:

To find the number of integers divisible by 6 between -30 and 39, we need to find how many multiples of 6 are in this range.

The first multiple of 6 greater than -30 is -24 (which is 6 times -4), and the last multiple of 6 less than 39 is 36 (which is 6 times 6).

So, we need to count the number of integers between -4 and 6 (inclusive), because each of these integers multiplied by 6 will give us an integer in the range -30 to 39 that is divisible by 6.

There are a total of (6 - (-4) + 1) = 11 integers between -4 and 6 inclusive, so there are also 11 integers between -30 and 39 that are divisible by 6.

Answer:

$10.00

Step-by-step explanation:

If the purchase price for a house is $445,500, and you put 5% down for a 30-year loan with a fixed rate of 6.25%, the monthly payment would be $2,605.87.Option (b) $2,605.87 is the correct answer.

How to find monthly payments?

For calculating monthly payments, we need to use the formula:

\(P = L[c(1 + c)^n]/[(1 + c)^n - 1]\)

where P is monthly payments is the loan amount is the interest rate is the number of months we know that the purchase price of a house is $445,500.

If you put a 5% down payment, the loan amount will be the difference between the purchase price and the down payment:

$445,500 - ($445,500 * 0.05)

= $423,225

We also know that the interest rate is 6.25% and the loan term is 30 years. We need to convert years into months by multiplying by 12:30 years × 12 months/year = 360 months now, we can substitute the values into the formula to find monthly payments:

\(P = $423,225[0.00521(1 + 0.00521)^{360}]/[(1 + 0.00521)^{360 - 1}]\)

= $2,605.87

Hence, the answer is option (b) $2,605.87.

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There's no picture to it.

Answer:

19.7 inches

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  If the diameter is given, then the formula is C = πd.

Here C = 62 in.  Dividing both sides by π yields the diameter:  d = C/π:

       62 in

d = ----------- = 19.7 inches

        3.14

Answer:

b. 19.7

Step-by-step explanation:

did it on the ed2020 practice

The area of the shaded region cannot be determined without additional information about the dimensions of the square.

To determine the area of the shaded region, we need additional information about the dimensions of the square. The length of AD alone is not sufficient to calculate the area.

We need either the length of one side of the square or the radius of the outer circle. With the length of one side of the square, we can calculate the area by squaring the side length. If we have the radius of the outer circle, we can calculate the area by subtracting the area of the square from the area of the circle.

However, without this information, we cannot accurately determine the area of the shaded region.

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No, as the confidence intervals for the two groups overlap.

From the given data,

The poll has an error of 34% of the people say they will vote for Bugs Bunny

⇒(34 ± 6)% ≈ 28% to 40%

⇒26% say they will vote for Baby Shark.

The confidence interval for the percentage of people supporting Baby Shark is

⇒(26 ± 6)% ≈ 20% to 32%

No, it is not possible to say with certainty that more people in the population support Bugs Bunny over Baby Shark based on this poll.

Since the confidence intervals for the two groups overlap , we cannot  say that in population, more people clearly support Bugs Bunny over Baby Shark.

Hence, the correct answer is: no, as the confidence intervals for the two groups overlap.

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Question :

The sales tax rate in New Mexico is 5.125%. Select all the equations that represent the sales tax, t, you

would pay in New Mexico for an item of cost c?

A. t = 5.125c

B. t = 0.5125c

C. t = 0.05125c

D. t = c = 0.05125

(E. t = 5.025 c

 Answer:

C. t = 0.05125c

Step-by-step explanation:

First we have to understand the meaning of % sign. It is called percent or percentage. Where cent means 100. Now all we know that 100 cents make one dollar, that is why these 100 smaller units are called as cents.

Now if sales tax is 5.125 percent, remember that if there is $100 capital amount, it will be $5.125 tax.

Now how much would it be for $1?

simply, it will be $0.05125

Now for equation in option C

t = 0.05125 x 1

t = 0.05125

here you can see that the equation is satisfied.

So from this we can establish the equation that for any cost, the relation between tax and cost will be:

t = 0.05125c