What is the answer too 15+3(2x-9)=60

Answer:

3x^2 + 13x - 5

Step-by-step explanation:

To find the area, you multiply the length by width. So its is (3x - 1) * (2x + 5)

Then distribute. (3x * 2x) + (3x *5) + (-1 *2x) + (-1 * 5)

So 3x^2 + 15x -2x -5

Final Answer: 3x^2 + 13x - 5

Answer:

30 INCHES

Step-by-step explanation:

The difference between the graph of the function is

The graph of f(x) is stretched horizontally.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have two function,

f(x) = 5 cos ( 1/2 x ) - 2

g(x) = 5 cos (x) -2

The graph represented by red line is function f(x) and the graph represented by blue line is g(x).

As, seen from the f(x) is stretched by 2 units then g(x).

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Answer:

7 and 13

Step-by-step explanation:

let the 2 numbers be x and y , x > y , then

x = y + 6 → (1)

\(\frac{1}{4}\) (x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )

x + y = 4y - 8 ( subtract 4y from both sides )

x - 3y = - 8 → (2)

Substitute x = y + 6 into (2)

y + 6 - 3y = - 8

- 2y + 6 = - 8 ( subtract 6 from both sides )

- 2y = - 14 ( divide both sides by - 2 )

y = 7

Substitute y = 7 into (1)

x = 7 + 6 = 13

The 2 numbers are 7 and 13

Answer: You can make more bracelets than necklaces. ✅

Step-by-step explanation:

You have 2.88 meters of copper wire and 5.85 meters of aluminum wire.

With 2.88 meters of copper wire, you can make 12 bracelets because each bracelet needs 0.24 meters of copper wire.

With 5.85 meters of aluminum wire, you can make 9 necklaces because each necklace needs 0.65 meters of aluminum wire.

So you can make 12 bracelets and 9 necklaces.

Therefore you can make more bracelets than necklaces.

The probability that a patient who has been diagnosed with cancer truly has the illness 0.406

It is known from prior experience that there is a 0.05 chance of choosing a cancer-positive adult over 40 in a certain area of the nation. What is the likelihood that an adult over the age of 40 will be given a cancer diagnosis if the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of a doctor incorrectly diagnosing a person without cancer as having the disease is 0.06.

We wish to compute P(C | D) this time. Bayes rule is used in this process.

\(& P(C \mid D)=\frac{P(C n D)}{P(D)} \\\\& =\frac{P(C) P(D \mid C)}{P(C) P(D \mid C)+P\left(C^{\circ}\right) P\left(D \mid C^*\right)} \\\\& =\frac{0.05 * 0.78}{(0.05 * 0.78)+(0.95 * 0.06)} \\\\& =\frac{0.039}{0.039+0.057} \\\\& =\frac{0.039}{0.096} \\\\& =0.406\)

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Answer: each tomato is $3.31

Step-by-step explanation:

Answer:

Dont know exactly what you are asking but if you are asking what the cost is for 1 pound its $3.31

Step-by-step explanation:

6.62 divided by 2 equals $3.31

Ben Collins plans to buy a house for $184,000, and if the real estate in his area is expected to increase in value by 3 percent each year, its approximate value will be around $208,943.95 six years from now.

To calculate the approximate value of the house six years from now, we can use the formula for compound interest: \(\(A = P(1 + r/n)^{nt}\), where \(A\)\) is the future value, \(\(P\\)) is the principal amount, \(\(r\)\) is the annual interest rate (expressed as a decimal), \(\(n\)\) is the number of times that interest is compounded per year, and \(\(t\)\) is the number of years.

In this case, the principal amount is $184,000, the annual interest rate is 3 percent (or 0.03 as a decimal), the compounding is done annually \((so \(n = 1\))\), and the time period is 6 years. Plugging these values into the formula, we get:

\(\(A = 184,000(1 + 0.03/1)^{(1)(6)}\)\)

Simplifying the equation, we have:

\(\(A = 184,000(1.03)^6\)\)

Evaluating this expression, we find:

\(\(A \approx 208,943.95\)\)

Therefore, the approximate value of the house six years from now would be around $208,943.95, assuming a 3 percent annual increase in real estate value.

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The inverse Laplace transform of ℒ^-1 8s - 16 (s^2 + s)(s^2 + 1) is:

\(-4(e^-t - 1) - 4e^(-t) sin(t) - 4cos(t)\)

To find the inverse Laplace transform of ℒ−1 8s − 16 (s2 s)(s2 1), we can first simplify the expression:

\(8s - 16 (s^2 + 1)(s^2 + s)= 8s - 16 (s^4 + s^3 + s^2 + s)= -16s^4 - 16s^3 + 8s^2 - 16s\)

We can then use partial fraction decomposition to write this expression as a sum of simpler fractions:

\(-16s^4 - 16s^3 + 8s^2 - 16s = (-4s^2 + 4s - 4)/(s + 1) + (-4s^2 - 8s)/(s^2 + 1) + (-4s)/(s^2 + 1)\)

To find the inverse Laplace transform of each term, we can use theorem

\(L^-1 (-4s^2 + 4s - 4)/(s + 1) = -4L^-1 (s + 1) + 4ℒ^-1 1 = -4(e^-t - 1)\\L^-1 (-4s^2 - 8s)/(s^2 + 1) = -4L^-1 (s + 2i)/(s^2 + 1) = -4e^(-t) sin(t)\\ℒ^-1 (-4s)/(s^2 + 1) = -4ℒ^-1 (s/(s^2 + 1)) = -4cos(t)\)
Therefore, the inverse Laplace transform of ℒ^-1 8s - 16 (s^2 + s)(s^2 + 1) is:

\(-4(e^-t - 1) - 4e^(-t) sin(t) - 4cos(t)\)

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Answer:

The answer is y = 4

Step-by-step explanation:

The answer is y = 4 because the y being next to the 2 means that you would  multiply whatever number y is. 2 x 4 = 8 and 8 - 8 = 0. Hope this helped! :)

Answer:

7 : 17.29

Step-by-step explanation:

==>Given:

Two similar cylinders:

Surface area of Cylinder A = 49cm²

Surface area of Cylinder B = 121cm²

==>Required:

Scale factor between both cylinders

==>Solution:

We can easily get the scale factor between both by taking the following steps:

=>Set up a ratio of their surface area:

Smaller cone surface area : larger cone surface area

49:121

= 49/121

=>Simplify the ratio gotten:

Dividing the denominator and the numerator by 7, would give us,

7/17.29

= 7:17.29

Answer:

7 : 11

Step-by-step explanation:

\(\frac{s}{s} =\frac{\sqrt[2]{49} }{\sqrt[2]{121} } =\frac{7}{11} = 7 : 11\)

Step-by-step explanation:

yes, because every defined x-value has exactly one assigned y (or result) value.

The values of CAD will be 56° and the value of CBA in the triangle will be 83°

It should be noted that a triangle is a three sided polygon that is a closed shape made of straight lines.

It should be noted that based on the angles given in the triangle, the value of CAD will also be 56°.

Therefore, the value of DCA will be:

= 180° - 83° - 56°

= 41°

CAB will also be 41°. Therefore,CBA will be:

= 180° - 41° - 56°

= 83°

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Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).

To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.

Here are the steps:

1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.

2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.

3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.

4. Calculate P(X ≤ 10) using the binomial probability formula:

P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.

5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.

After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.

So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.

Hence, option (A) is correct.

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Answer:

46 ÷ 5 3/4

Step-by-step explanation:

Expressions don't have equal signs.

All the complex numbers on a circle of radius 5 have a modulus of 5, so there are infinite of them.

For a given complex number:

z = a + bi

The modulus is given by:

M = √(a² + b²)

The numbers that have a modulus of 5 are:

5 = √(a² + b²)

We can rewrite that as:

5² = a² + b²

So all the complex numbers in a circle or radius 5 have a modulus of 5, and there are infinite numbers in that circle, so the answer is infinite.

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Answer:

Slope = Rise over Run

Rise = 2

Run = 3

Slope = 2/3

Let me know  if this helps!

Answer:

x=1

Step-by-step explanation:

(5x-3)3=8

taking the cube of both sides we get

5x-3=2

adding three to both sides we get

5x=5

dividing by five on both sides we get

x=1

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Answer:

45 inches

Step-by-step explanation:

Create a proportion where x is the perimeter of the smaller triangle:

\(\frac{5}{3}\) = \(\frac{75}{x}\)

Cross multiply and solve for x:

5x = 225

x = 45

So, the perimeter of the smaller triangle is 45 inches

Answer:

A. {(0, 3), (1, 6), (2, 9)}

Step-by-step explanation:

All you have to do is substitute them

A.

y − 3 = 3x

3 - 3 = 3 (0)

0 = 0

y − 3 = 3x

6 - 3 = 3 (1)

3 = 3

y - 3 = 3x

9 - 3 = 3 (2)

6 = 6

__________________________________________________________

B.

y - 3 = 3x

0 - 3 = 3(3)

-3 = 6

You can tell that this one can't be one of the answer which means that B wont be the answer, so you don't have to do anymore work for this one.

__________________________________________________________

C.

y - 3 = 3x

3 - 3 = 3(1)

0 = 3

This one can't be an answer either

__________________________________________________________

D.

y - 3 = 3x

1 - 3 = 3(1)

-2 = 3

And this one can't be an answer either

__________________________________________________________

This concludes, that A will be the answer here since all of the ordered pair can be x and y when you use the inputs and outputs that were given.

Hope this helped!

Answer:

equal parts of this story is the order I am the first thing to say about this

degree to radian = angle in degree * pi/180

rad = 150 * pi/180 = 2.618 radians

Answer:

75

Step-by-step explanation:

Problem (a) is answered ( as an example ) and (b) is referring to adding 292 to checkpoint 5.

Since checkpoint 5 is -217, it is in the negatives.

We must convert that to a positive and subtract then.

So, 292 - 217 = 75.

Therefore, the answer is 75 feet above sea level.

-kiniwih426

Answer:

извините, у меня нет ответа

Suppose that the joint probability density of two random variables X1 and X2 is given by F(x1,X2) = {6e^-2x1-3x2 for x1 > 0 and x2 > 0, otherwise.

Find the probability P(I2).

Solution: The joint probability density of two random variables X1 and X2 is given by F(x1, x2) = {6e^(−2x1 − 3x2) for x1 > 0 and x2 > 0, otherwise. Find the probability P(I2).It is known that, for any joint probability density function f(x, y) and any real number a,b,c, and d such that a ≤ b and c ≤ d, we have: P(a ≤ X ≤ b, c ≤ Y ≤ d) = ∫(c to d) ∫(a to b) f(x,y)dxdy.

We use this formula to calculate the required probability. We have:I2 = {X2 > 2X1}. Hence, we want to find the probability that X2 > 2X1. This probability can be written as: P(I2) = P(X2 > 2X1) = ∫(0 to ∞) ∫(2x1 to ∞) f(x1,x2)dx2dx1= ∫(0 to ∞) ∫(2x1 to ∞) 6e^(−2x1 − 3x2) dx2dx1= 6 ∫(0 to ∞) e^(−2x1) ∫(2x1 to ∞) e^(−3x2) dx2dx1Now, let's solve the inner integral first. We get:∫(2x1 to ∞) e^(−3x2) dx2= (-1/3) e^(−3x2)|2x1 to ∞= (-1/3) e^(−6x1)Now we substitute this value of the integral back into the outer integral. We get: P(I2) = 6 ∫(0 to ∞) e^(−2x1) (-1/3) e^(−6x1) dx1= (-2) ∫(0 to ∞) e^(−8x1) dx1= (-2) (1/8)= -1/4. Hence, the required probability P(I2) is equal to -1/4.

Therefore, the correct option is (D) -1/4.

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The series diverges according to the Root Test.

To test the convergence of the series using the Root Test, we need to evaluate the limit of the absolute value of the nth term raised to the power of 1/n as n approaches infinity. In this case, our series is:

∑(n=1 to ∞) ((2n + 6)/(3n + 1))^n

Let's simplify the limit:

lim(n → ∞) |((2n + 6)/(3n + 1))^n| = lim(n → ∞) ((2n + 6)/(3n + 1))^n

To simplify further, we can take the natural logarithm of both sides:

ln [lim(n → ∞) ((2n + 6)/(3n + 1))^n] = ln [lim(n → ∞) ((2n + 6)/(3n + 1))^n]

Using the properties of logarithms, we can bring the exponent down:

lim(n → ∞) n ln ((2n + 6)/(3n + 1))

Next, we can divide both the numerator and denominator of the logarithm by n:

lim(n → ∞) ln ((2 + 6/n)/(3 + 1/n))

As n approaches infinity, the terms 6/n and 1/n approach zero. Therefore, we have:

lim(n → ∞) ln (2/3)

The natural logarithm of 2/3 is a negative value.Thus, we have:ln (2/3) <0.

Since the limit is a negative value, the series diverges according to the Root Test.

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The probable question may be:
Test the series below for convergence using the Root Test.

sum n = 1 to ∞ ((2n + 6)/(3n + 1)) ^ n

The limit of the root test simplifies to lim n → ∞  |f(n)| where

f(n) =

The limit is:

(enter oo for infinity if needed)

Based on this, the series

Diverges

Converges