please help.
1. Complete the Pythagorean triple. (24,143, ___)
2. Given the Pythagorean triple (5,12,13) find x and y
3. Given x=10 and y=6 find associated Pythagorean triple
4. Is the following a possible Pythagorean triple? (17,23,35)

Answer:

B

Step-by-step explanation:

You can see that the only difference between the three questions is the charge of the electrons. Electrons are negatively charged and so the answer is just B

Answer:

Pretty sure its A so sorry if its wrong

Step-by-step explanation:

Wish you the best of luck and hope this helps!

The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

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Let u=⟨8,−7⟩. The component form of 2u is (16, -14). The magnitude of 2u is 14√2.

To find the component form of 2u, we simply multiply each component of u by 2. So, the x-component of 2u is 2 * 8 = 16, and the y-component of 2u is 2 * -7 = -14.

To find the magnitude of 2u, we use the Pythagorean theorem. The magnitude of 2u is equal to the square root of (16^2 + (-14)^2), which is equal to 14√2.

Here are some additional details about the calculation of the magnitude:

(16)^2 = 256

(-14)^2 = 196

256 + 196 = 452

√452 = 14√2

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Option A is correct, 57.17% is the probability that he hits the target at least four out of next six attempts.

Let's calculate the probability of hitting the target exactly four times out of six attempts:

P(4 hits) = C(6, 4) × (0.65)⁴ ×  (1 - 0.65)⁶⁻⁴

The probability of hitting the target exactly five times out of six attempts:

P(5 hits) = C(6, 5) × (0.65)⁵ × (1 - 0.65)⁶⁻⁵

Now calculate the probability of hitting the target all six times:

P(6 hits) = (0.65)⁶

Now, we can find the probability that Tom hits the target at least four times by summing up the individual probabilities:

P(at least 4 hits) = P(4 hits) + P(5 hits) + P(6 hits)

P(at least 4 hits) = C(6, 4) × (0.65)⁴ ×  (1 - 0.65)⁶⁻⁴ + C(6, 5) × (0.65)⁵ × (1 - 0.65)⁶⁻⁵ +  (0.65)⁶

=57.17%

Hence,  57.17% is the probability that he hits the target at least four out of next six attempts.

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The question is an illustration of sequence and pattern

The cell entries that complete the table are 0.08 and 400

The table entries are given as:

Day     Avi's rule      Benita's rule

1             0.01              100

2            0.02             200

3            0.04            300

4

From Avi's rule, we can see that:

The new elements are generated by multiplying the current element by 2.

So, the entry that fills the missing blank in Avi's rule is:

\(Avi = 2 * 0.04\)

\(Avi = 0.08\)

From Benita's rule, we can see that:

The new elements are generated by adding 100 to the current element.

So, the entry that fills the missing blank in Benita's rule is:

\(Benita = 100 + 300\)

\(Benita = 400\)

So, the complete table is:

Day     Avi's rule      Benita's rule

1             0.01              100

2            0.02             200

3            0.04            300

4            0.08           400

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Answer:

80π

Step-by-step explanation:

Circle O with radius IO:

large radius = IO = 12 = R

Circle O with diameter JK

IJ = JK = KL = 2 × IO = 24

IJ = JK = KL = 24/3 = 8

small radius = 8/2 = 4 = r

The shaded area is a semicircle of radius 12 minus a semicircle of radius 4 plus two semicircles of radius 4.

That is the same as

1 semicircle of radius 12 plus 1 semicircle of radius 4

A = πR²/2 + πr²/2

A = π(12² + 4²)/2

A = 160π/2

A = 80π

Answer:

25

Step-by-step explanation: Because if you add 5+7=12 60/12=5 5*5=25 so thats your awnser

Answer:

900

Step-by-step explanation:

\(\frac{27000}{30}=900\)

Answer:

-15

Step-by-step explanation:

f(-2) = 3(-2) - 4 = -6 - 4 = -10

f(3) = 3(3) - 4 = 9 - 4 = 5

f(-2) - f(3)​ = -10 - 5 = -15

The polar equation for this curve is: theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))

To find the polar equation for the curve represented by the given Cartesian equations, we can use the conversion formulas between Cartesian and polar coordinates.

\(x^2 + y^2 = 25:\)

In polar coordinates, the conversion formulas are:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation \(x^2 + y^2 = 25:\)

\((r cos(theta))^2 + (r sin(theta))^2 = 25\)

\(r^2 (cos^2(theta) + sin^2(theta)) = 25\)

\(r^2 = 25\)

The polar equation for this curve is simply:

r = 5

\(x^2 + y^2 = -8y:\)

In polar coordinates:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation \(x^2 + y^2 = -8y:\)

\((r cos(theta))^2 + (r sin(theta))^2 = -8(r sin(theta))\)

\(r^2 (cos^2(theta) + sin^2(theta)) = -8r sin(theta)\)

\(r^2 = -8r sin(theta)\)

The polar equation for this curve is:

r = -8 sin(theta)

y = sqrt(3) x:

In polar coordinates:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation y = sqrt(3) x:

r sin(theta) = sqrt(3) (r cos(theta))

r sin(theta) = sqrt(3) r cos(theta)

tan(theta) = sqrt(3)

The polar equation for this curve is:

theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))

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Answer:

I think Teresa needs 6 tablespoons of butter..

Step-by-step explanation:

Hope this right...but if it's not,im so sorry

Answer:

c)  1 foot per 2 hours

Step-by-step explanation:

1/6 of a foot (which is 12 inches) is 2 inches

1/3 of an hour (which is 60 minutes) is 20 minutes

2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)

It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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Answer:

4x+4x+7x=180

15x=180

x=12

Step-by-step explanation:

Answer:

From the lines we know that that two sides are the same so the other angle is also 4x

the total of a triangle equals 180 so

4x+4x+7x=180

15x=180

x=12

Hope This Helps!!!

Answer:

95

Step-by-step explanation:

So if you wanted to figure the average of the 3 tests, you would add 91+85+89 to get 265 & then divide by 3 tests  to get an average of 88.

So that means for four tests, 91+85+89+4th test = answer that divided by 4 tests will equal 90.  90 x 4 = 360.  Then 360 -265 (sum for 1st 3 tests) = 95

Answer:52x18=936$

Step-by-step explanation:

have a total of 52 weeks in a year, save $18 each week, multiply $18 by the number of weeks in a year and then you get the answer

Answer:

8

Step-by-step explanation:

8 - 4 = 4

    or

8 + (-4) = 4

HOPE THIS HELPS :)

Answer:

the value would be 6 and yes the game is fair

Answer:f

Step-by-step explanation:

its not that hard

The function is concave up for  x < 1 and concave down for x > 1 because the second derivative is positive for x < 1 and negative for x > 1. As a result, the critical point at x  < 1 is a relative maximum.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is common to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The derivative of the function f(x) can be found by taking the derivative of the expression e^(-x) (x^2 + 2x) using the product rule:

f'(x) = -e^(-x) (x^2 + 2x) + e^(-x) (2x + 2) = 2e^(-x) - 2xe^(-x) (x + 1)

Setting f'(x) equal to zero and solving for x gives us the critical points:

0 = 2e^(-x) - 2xe^(-x).(x + 1)

2xe^(-x).(x + 1) = 2e^(-x)

x(x + 1) = e^x

x^2 + x - e^x = 0

Next, we determine the concavity of the function at the critical points by analyzing the second derivative of the function:

f''(x) = 2e^(-x) + 2xe^(-x) + 2xe^(-x).(x + 1) - 2e^(-x).(x + 1)

= 2e^(-x).(1 - x)

Since the second derivative is positive for x < 1 and negative for x > 1, the function is concave up for x < 1 and concave down for x > 1. Thus, the critical point at x < 1 corresponds to a relative maximum.

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Answer:

3/1

Step-by-step explanation:

3/1 is also equal to 3. 3 is a counting/whole number, so it Is not Rational.

Answer:

equal to

Step-by-step explanation:

this will make a rectangle making the area the same

Answer:

Bette needs 8 jumbo cans to frost 280 cupcakes

Step-by-step explanation:

1 jumbo can is equivalent to 35 cupcakes, as we can see it takes 5 jumbo cans to get 175 and 3 to 105 the gap of 105 and 175 is 70 and the gap of 3 and 5 is 2 which means we divide 70 to 2 which the answer is 35, now we know its 35 we need to divide 280 and 35 now which the answer is 8.

Answer:

MAR = 71°

Step-by-step explanation:

MAE 23°+ EAR 48°= MAR71°

Answer:

The extra spent money of karla is $158.

Step-by-step explanation:

Given that,

Price of each t- shirt = $2

Price of each trouser = $8

Karla spent money = $198

Suppose, how much extra money spent of Karla .

If i buy 4 t-shirt for each trouser then,

We need to calculate the total price of 4 t-shirt and trouser

Using given data

For t-shirt,

\(Price\ of\ 4\ t-shirt=4\times2\)

\(Price\ of\ 4\ t-shirt=$8\)

For trouser,

\(Price\ of\ 4\ t-shirt=4\times8\)

\(Price\ of\ 4\ t-shirt=$32\)

The total price of 4 t-shirt and trouser is

\(Total\ price = 8+32\)

\(Total\ price = $40\)

We need to calculate the extra spent money of karla

Using given data

Extra money of karla=Spent money of karla - Price of 4 t-shirt and trouser

Put the value into the formula

Extra money of karla = 198-40

Extra money of karla = $158

Hence, The extra spent money of karla is $158.

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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Answer: 2304

Step-by-step explanation: 18 x 16 x 8

Answer: -8

Step-by-step explanation:

if y=6x+(-2),  than y= 6x-2

if x=-1 we will replace x with this value

y=6(-1)-2=-6-2=-8

Answer: (just the first question)

x=3

y=17

Step-by-step explanation:

3x+8=-5x+32

add 5x and subtract 8 from both sides

8x=24

divided by 8

x=3

substitute+simplify

y=3x+8

y=9+8

y=17

y=-5x+32

y=-15+32

y=17