You have to solve for y

Answer:

6d-3-2d=4d-8+5

6d-4d-2d= -8+5+3

0d/0=0/0

=Infinitive/d=0

Step-by-step explanation:

Give me the answer each one please.

Answer:

Where are the questions?

Step-by-step explanation:

In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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If y is normally distributed with parameters μ and σ and you observe y and then build a rectangle with length |y | and width 3|y |, then e(a) = 3(σ\(^2\) + μ\(^2\))

To find E(A), the expected value of the area A of the rectangle, we need to consider the distribution of Y and the dimensions of the rectangle.
Given that Y is normally distributed with parameters μ (mean) and σ (standard deviation), we know that the length of the rectangle is |Y| and the width is 3|Y|. Therefore, the area A of the rectangle can be expressed as:
A = |Y| * 3|Y|
Now, let's find the expected value of A, E(A):
E(A) = E(|Y| * 3|Y|)
Since 3 is a constant, we can take it out of the expectation:
E(A) = 3 * \(E(|Y|^2)\)
We need to find the expected value of \(|Y|^2\). Notice that \(|Y|^2\) = \(Y^2\), as squaring a number removes its sign. So, we need to find \(E(Y^2)\).
For a normal distribution with parameters μ and σ, we know that:
\(E(Y^2)\) = Var(Y) + \((E(Y))^2\)
Here, Var(Y) represents the variance of Y, which is σ\(^2\), and E(Y) represents the expected value of Y, which is μ. Therefore:
\(E(Y^2)\) = σ\(^2\)+ μ\(^2\)
Now, we can substitute this value back into our expression for E(A):
E(A) = 3 * \(E(Y^2)\) = 3 * (σ\(^2\) + μ\(^2\))
So, the expected value of the area A of the resulting rectangle is:
E(A) = 3(σ\(^2\) + μ\(^2\))

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The number of zeros will be less than or equal to the degree of the polynomial. In this case, the degree of the polynomial is 2. Hence, there are only two zeros possible.

List all possible rational zeros for the function

f(x) = 2x² + 5x - 48 - 3

Step 1: First, we need to determine the factors of -48. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.Step 2: Determine the factors of 2. The factors of 2 are ±1 and ±2. Hence, all the possible rational zeros of the function

f(x) = 2x² + 5x - 48 - 3 are given by the expression± (1, 2, 3, 4, 6, 8, 12, 16, 24, 48)/ (±1 and ±2)Note: The number of zeros will be less than or equal to the degree of the polynomial. In this case, the degree of the polynomial is 2.

Hence, there are only two zeros possible. Therefore, the complete long answer to this question is as follows:All possible rational zeros for the function f(x) = 2x² + 5x - 48 - 3 are given by the expression± (1, 2, 3, 4, 6, 8, 12, 16, 24, 48)/ (±1 and ±2)

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Answer:

Epidermis contains proteins that make the skin waterproof and keeps it strong. A similar protein can also be found in our nails.

Step-by-step explanation:

The outer skin (epidermis) contains a strong protein called keratin. Keratin is insoluble in water, making this layer waterproof.

Answer:

2.5 cups of milk will make his ingredients proportional.

Step-by-step explanation:

Since he used five out of the three cups of flour he was supposed to use, you can use that as the fraction: 5/3.

Since 5/3 was used on the flour, it also has to be used on the milk

To apply it to the milk, you just multiply 5/3 × 1.5 cups of milk, which gets you 2.5 cups of milk

*Multiplying by a fraction also means of.

Example: 1/2 × 4 = 2 because two is 1/2 of 4

Answer:

1. 2 runners

2. 25 runners

3. 24%

4. 15 runners

5. 60%

6. uh I think it's asking the same thing as 3, so 24%?

The function f(x) = ln(2 + sin(x))) is concave up for the range of x [0,2].

To discover the interval(s) on which f(x) = ln(2 + sin(x)) is concave up, compute the function's second derivative and check its sign.

To begin, compute the first derivative of f(x) with respect to x:

(1 / (2 + sin(x)) = f'(x)cos(x)

The second derivative of f(x) can therefore be found by taking the derivative of f'(x) with regard to x:

f''(x) = -(1/(2 + sin(x))(-sin(x)) cos2(x) + (1/(2 + sin(x))

When we simplify f''(x), we get:

f''(x) = -1/(2 + sin(x))²)sin(x)(sin(x)-2)

To discover the interval(s) where f(x) is concave up, we must first locate the interval(s) where f''(x) is positive. Because sin(x) might vary from -1 to 1, we must solve the inequality:

-(1/(2 + 1))^2(-1)(-1-2)≤f''(x)≤-(1 / (2 - 1))²(1) (1-2)

When we simplify this inequality, we get:

1/9 ≤ f''(x) ≤ -1/4

So, f is never negative at 0 ≤ x ≤ 2, so f is concave up in the range 0 ≤ x ≤ 2.

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Complete question - f(x) = ln(2 + sin(x)), 0 ≤ x ≤ 2 . Find the interval(s) on which f is concave up.

The volume of the solid bounded below by the circular paraboloid z = x^2y^2 and above by the circular paraboloid z = 7 - x^2 - y^2 is ∫∫∫ (r^4cos^2θsin^2θ) dV.

To find the volume of the solid bounded by the given circular paraboloids, we need to determine the limits of integration and set up a triple integral in Cartesian coordinates.

First, we need to find the limits of integration for x and y. Since both paraboloids are circular and symmetric, we can integrate over a circular region in the xy-plane. We can use polar coordinates to simplify the integration.

Converting to polar coordinates, we have:

z = x^2y^2 becomes z = (r^2cos^2θ)(r^2sin^2θ) = r^4cos^2θsin^2θ

z = 7 - x^2 - y^2 becomes z = 7 - r^2

To determine the limits of integration in polar coordinates, we note that the circular region in the xy-plane is defined by r = 0 to r = R, and θ = 0 to θ = 2π, where R is the radius of the circular region.

Setting up the triple integral, the volume is given by:

V = ∫∫∫ (r^4cos^2θsin^2θ) dV,

where the limits of integration are:

0 ≤ r ≤ R,

0 ≤ θ ≤ 2π,

0 ≤ z ≤ 7 - r^2.

Evaluating the triple integral will yield the volume of the solid bounded by the two circular paraboloids.

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Answer:

Hello!

____________________

5+(−4)= 1

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

5+(-4)=1

Step-by-step explanation:

Over the weekend she walked a total distance of (4 + 5/8) miles

We know that on Saturday she walked a total of (3 + 7/10) miles (so we need to work with mixed numbers), and on Sunday she walked 0.25 of that distance.

Then the  distance that she walked on Sunday is:

D = 0.25*(3 + 7/10) miles

We can rewrite: 0.25 = 1/4

replacing that:

D = (1/4)*(3 + 7/10) mi = (3/4 + 7/40) mi

   = (30/40 + 7/40)mi = (37/40)mi

Then the total distance that she walked over the weekend is:

d = (3 + 7/10) mi +  (37/40)mi

  = (120/40 + 28/40) mi + (37/40) mi

  = (185/40)mi = (160/40 + 25/40) mi = (4  + 5/8) mi

Over the weekend she walked a total distance of (4 + 5/8) miles

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The discriminant of the given equation 6x² - 2x + k as required is; 4 - 24k.

The value of k for which the equation will result in two different real solutions is; k < 1/6.

Since the discriminant for the standard form quadratic equation; y = ax² + bx +c is given by the formula;

Discriminant, D = b² - 4ac

On this note, since; a = 6, b = -2 and c = k.

Discriminant, D = (-2)² - (4 × 6 × k).

D = 4 - 24k

Recall, when discriminant, D > 0; the equation would result in two different real solutions.

Therefore; 4 - 24k > 0

-24k > -4

k < 1 / 6.

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Answer:

3 seconds

Step-by-step explanation:

Complete question:

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds

Given the height of an object modelled by the expression;

h(t)=144-16t²

The object will reach the ground when h(t) = 0

Substitute into the formula

0 = 144 - 16t²

-144 = -16t²

144 = 16t²

Swap

16t² = 144

t² = 144/16

t² = 9

Square root both sides

√t² = ±√9

t = ±3secs

Since the time cannot be negative, hence the object will reach the ground 3 seconds after

There are 35 possible trip choices available to Amy. The solution has been obtained by using the concept of combination.

What is combination?

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

We are given that there are seven different places and from that she can afford only three. Since, here order does not matter so, we will use combinations as in combination order of the selection is irrelevant.

From this, we get

⇒ \(^{7} C_{3}\) = \(\frac{7!}{3!(7-3)!}\)

⇒ \(^{7} C_{3}\) = 35

Total possible trips = 35

Hence, Amy has total of 35 possible trip choices.

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Answer: B. h = 2

Step-by-step explanation:

Given

5 + h = 11 - 2h

Add 2h on both sides

5 + h + 2h = 11 - 2h + 2h

5 + 3h = 11

Subtract 5 on both sides

5 + 3h - 5 = 11 - 5

3h = 6

Divide both sides by 3

3h / 3 = 6 / 3

h = 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B) h=2

Step-by-step explanation:

5+h=11-2h

5+h-(-2h)=11

5+h+2h=11

5+3h=11

3h=11-5

3h=6

h=6/3

h=2

Answer:

x is greater than or equal to -4 but less than or equal to 4

Step-by-step explanation:

The "domain" is all of the x values on the line. But there are an infinite amount of x-values there, so it must be written as that.

Answer:

See below.

Step-by-step explanation:

The domain is simply the range of x-values the graph encompasses. From the given graph, we can see that the graph stretches from x=-4 to x=+4.

However, note that the graph does not include -4 since the point is an open circle. However, it does include +4 since the point is a closed circle. Therefore, the domain of this graph is:

In interval notation:

\((-4,4]\)

(Parenthesis on the left because -4 is not included. Brackets on the right because +4 is included.)

Using the spring's force we know that 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

So, F is the 4 lb force required to maintain the spring's stretched position.

The labor of extending a spring is denoted by the formula:

So, calculate:

Therefore, 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

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The probability that less than 9 but more than 7 bulbs from the sample are defective is 0.8944.

The formula to find the probability of x number of defective bulbs in a sample of n bulbs is as follows:

P(x) = [\(n \choose x\) * p^x * (1-p)^(n-x)], where \(n \choose x\) is the combination of n and x.

So, The probability of x < 9 defective bulbs in a sample of 14 bulbs is given as follows:

P(x<9) = P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6) + P(x=7)

Therefore, the probability that less than 9 bulbs from the sample are defective is

P(x<9) = [\(14 \choose0\) * (0.2)^0 * (0.8)^14] + [\(14 \choose1\) * (0.2)^1 * (0.8)^13] + [\(14 \choose2\) * (0.2)^2 * (0.8)^12] + [\(14 \choose3\) * (0.2)^3 * (0.8)^11] + [\(14 \choose4\) * (0.2)^4 * (0.8)^10] + [\(14 \choose5\) * (0.2)^5 * (0.8)^9] + [\(14 \choose6\) * (0.2)^6 * (0.8)^8] + [\(14 \choose7\) * (0.2)^7 * (0.8)^7]= 0.8962

Similarly, the probability that more than 7 bulbs from the sample are defective is:

P(x>7) = P(x=8) + P(x=9) + P(x=10) + P(x=11) + P(x=12) + P(x=13) + P(x=14)

Therefore, the probability that more than 7 bulbs from the sample are defective is

P(x>7) = [\(14 \choose8\) * (0.2)^8 * (0.8)^6] + [\(14 \choose9\) * (0.2)^9 * (0.8)^5] + [\(14 \choose10\) * (0.2)^10 * (0.8)^4] + [\(14 \choose11\) * (0.2)^11 * (0.8)^3] + [\(14 \choose12\) * (0.2)^12 * (0.8)^2] + [\(14 \choose13\) * (0.2)^13 * (0.8)^1] + [\(14 \choose14\) * (0.2)^14 * (0.8)^0]= 0.0005

Therefore, the probability that less than 9 but more than 7 bulbs from the sample are defective is:

P(8≤x≤7) = P(x<9) - P(x≤7)

P(8≤x≤7) = P(x<9) - [P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6) + P(x=7)]= 0.8962 - 0.0018= 0.8944 (rounded to four decimal places)

Therefore, more than 7 out of the sample have a probability of failure, but less than 9 out of the sample probably have a failure.

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Answer:

I believe it is B

Step-by-step explanation:

Answer:

B. gets reversed

Step-by-step explanation:

except that multiplying by a negative number will reverse the direction of the vector's arrow. For example, multiplying a vector by 1/2 will result in a vector half as long in the same direction, while multiplying a vector by −2 will result in a vector twice as long but pointed…

Answer:

10

Step-by-step explanation:

Answer:

MP equals 10

Step-by-step explanation:

The slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

In mathematics, slοpe refers tο the measure οf the steepness οf a line. It is defined as the ratiο οf the vertical change (rise) between twο pοints.

Tο find the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4), we can use the slοpe fοrmula:

slοpe = (change in y) / (change in x)

Let's call the first pοint (-2,-4) "pοint 1" and the secοnd pοint (3,-4) "pοint 2". Then, we have:

change in y = y2 - y1 = (-4) - (-4) =

change in x = x2 - x1 = 3 - (-2) = 5

Substituting these values intο the slοpe fοrmula, we get:

slοpe = (change in y) / (change in x) = 0 / 5 = 0

Hence, the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

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We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

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The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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The formula to determine the angle subtended by an arc is:θ = (L/r), where θ is the angle in radians, L is the length of the arc, and r is the radius of the circle.

We are given a circle with a radius of 16 meters and an arc length of 4π meters. Therefore, we can plug in the values of L and r to obtain the angle in radians:

θ = (L/r) = (4π/16) = π/4 radians

We can convert radians to degrees using the formula:

π radians = 180 degrees

Therefore, we can convert the angle in radians to degrees as follows:

θ (in degrees) = (θ in radians) × (180/π) = (π/4) × (180/π) = 45 degrees

Hence, the angle subtended by an arc of length 4π meters on a circle of radius 16 meters is π/4 radians or 45 degrees.Conclusion:Thus, the angle, in radians, is π/4 and the angle, in degrees, is 45 degrees.

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Answer:

It's -15 than normal

The odds of winning the Mega Millions jackpot are approximately 1 in 302 million.

The chances of winning the Mega Millions Jackpot, which requires matching each of the five white balls and the gold Super Ball, are around 1 of every 302 million. The chances of winning any award in Uber Millions, which incorporates matching essentially the Super Ball, are around 1 of every 24. The size of the award relies upon the quantity of matching numbers and the Super Ball, with the big stake being the biggest award. The likelihood of winning the bonanza increments somewhat as the quantity of tickets sold increments, however it stays an exceptionally low likelihood occasion. Notwithstanding the slim chances, a great many individuals play the Uber Millions lottery consistently with expectations of becoming quite wealthy.

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