William needs to translate ΔLMN by the rule (x,y)--> (x- 4, y+7). Which of the following graphs represents that translation?
A.


B.


C.


D.

We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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Answer:

0.7 km

Step-by-step explanation:

Given that,

Ann swims 700 m each day.

We need to find how many kilometers does she swim each day.

It means we need to convert 700 m to kilometers.

We know that,

1 km = 1000 m

or

1 m = 0.001 km

To convert 700 m to km, multiply 700 and 0.001

700 m = 0.7 km

Hence, she swims 0.7 km each day.

These work out to 60,466,176 case insensitive combinations of letters.

There are 10 digits 0–9.

The are 26 letters in the modern alphabets.

However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.

There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.

You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.

Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.

So, there are either 36 (10 digits and 26 letters).

To find the number of combinations you multiply the number of possibilities for each character;

36 x 36 x 36 x 36 x 36

These work out to 60,466,176 case insensitive combinations of letters.

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The net height change in this example is 50 cm. Remember to record the net height change in your lab data.

To calculate the net height change, you need to subtract the height at 0 minutes from the height at 20 minutes. This can be done by following these steps:
1. First, gather the lab data that includes the height measurements at 0 minutes and 20 minutes.
2. Identify the height at 0 minutes and the height at 20 minutes from the lab data.
3. To calculate the net height change, subtract the height at 0 minutes from the height at 20 minutes.
4. Record the net height change in your lab data.
For example, if the height at 0 minutes is 100 cm and the height at 20 minutes is 150 cm, the net height change would be calculated as follows:
Net height change = height at 20 minutes - height at 0 minutes
Net height change = 150 cm - 100 cm
Net height change = 50 cm

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The area, in square inches, of a right triangle with a 24-inch leg and a 25-inch hypotenuse is 84 cm.

The area of a right triangle of base b and height h can be calculated using the formula 1/2 × b × h and its perimeter is obtained by just adding all the sides.

Length of one side of the right triangle (p) = 24-inch

Length of the hypotenuse of the right triangle (h) = 25-inch

Therefore, we can calculate the third side (b) of the triangle by applying the Pythagorean theorem

p² + b² = h²

24² + b² = 25²

b² = 625 - 576

b² = 49

b = 7 inch

Now, the area of the right triangle will be

= 1/2 × b × h

= 1/2 × 7 × 24

= 84 inch²

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Answer:

\(6a^3+45b\)

Step-by-step explanation:

\(2a\times a\times 3a+b\times 45\)

\(2a\times 1a\times 3a+b\times 45\)

\(2\times 1\times 3 \times a \times a \times a+b\times 45\)

\(6a^3+b \times45\)

\(=6a^3+45b\)

Answer:

6a^3 + 45b

Step-by-step explanation:

=2a × a × 3a + b × 45

=2a × 1a × 3a + b × 45

=2 × 1 × 3 × a × a × a + b × 45

=6a^3 + b × 45

= 6a^3 + 45b

It will take approximately 15.5 years for the amount to double, rounded to the nearest tenth.

To find out how long it will take for the amount to double, we can use the continuous compound interest formula:

A = P * e^(rt)

Where:

A = Final amount (double the initial amount)

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case, the initial investment (P) is $1000, and we want to find the time it takes for the amount to double. The final amount (A) is $2000 (double the initial amount). The annual interest rate (r) is 4.5% or 0.045 (in decimal form).

Plugging these values into the formula, we have:

2000 = 1000 * e^(0.045t)

Dividing both sides by 1000:

2 = e^(0.045t)

Taking the natural logarithm (ln) of both sides:

ln(2) = 0.045t

Finally, solving for t:

t = ln(2) / 0.045 ≈ 15.5

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Step-by-step explanation:

it's b

i relly don't know cause theres no image

I don't think I'm wrong but the answer 90

Answer:

D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

it is 10% shades

Answer:i think its 60,2

Step-by-step explanation:

The expression whose value is a rational number will be √(4)² and √225+ √169. Then the correct options are A and C.

If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Let's check all the options, then we have

A. √(4)² = 4, is a rational number.

B. √49 + √7 = 7 + √7, is an irrational number.

C. √225+ √169 = 25 + 13, is a rational number.

D. √2 x √121 = 11√2, is an irrational number.

E. √11 x 16 = 4√11, is an irrational number.

The expression whose value is a rational number will be √(4)² and √225+ √169. Then the correct options are A and C.

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Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

Answer:

150

Step-by-step explanation:

p/5=30

p=30*5

p=150

Answer:

  (a) 56

Step-by-step explanation:

You want the number that is 80% of 70.

In this context, "of" means "times." Thus "80% of 70" is "80% times 70".

Some calculators have a % key that lets you calculate this directly. Otherwise you may need to convert the percentage to a fraction.

The % symbol is effectively interchangeable with "/100", so we have ...

  80% of 70 = 80/100 × 70

At this point, you can employ what you know about multiplication and division to simplify this to a problem you can do in your head.

  = (80×70)/100 = (8×7×100)/100 = 8×7 = 56

If you want a grade of 80%, you need to get 56 questions correct.

Answer:

11

Step-by-step explanation:

Givens:

AD = 8

AC = 4y - 28

y = ?

First we can see that AD and DC are equal.

-note AD and AC are not equal

But 2 times the length of AD should give you AC so.....

2 x length of AD = 16 = AC

We can use the equation:

16 = 4y - 28

Solve for y

16 + 28 = 4y

44 = 4y

y = 11

Therefore value of y is 11.

P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7).To solve the given probabilities, we can use the binomial probability formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

Where:

- P(x) is the probability of exactly x successes

- C(n, x) is the number of combinations of n items taken x at a time

- p is the probability of success for each trial

- n is the number of trials

Given that 8% (0.08) of all Americans live in poverty, and we are selecting 36 Americans randomly, we can calculate the following probabilities:

a) Probability that exactly 1 of them live in poverty:

P(1) = C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1)

b) Probability that at most 2 of them live in poverty:

P(at most 2) = P(0) + P(1) + P(2)

             = C(36, 0) * (0.08)^0 * (1 - 0.08)^(36 - 0) + C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1) + C(36, 2) * (0.08)^2 * (1 - 0.08)^(36 - 2)

c) Probability that at least 1 of them live in poverty:

P(at least 1) = 1 - P(0)

d) Probability that between 3 and 7 (including 3 and 7) of them live in poverty:

P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7)

Using the formula and the provided values, we can calculate these probabilities.

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The first six terms of the sequence defined by each of these recurrence relations and initial conditions are

a) -1, 2, -4, 8, -16, 32.

b) 2, -1, -3, -2, 1, 3.

c) 1, 3, 9, 27, 81, 243.

a) The first recurrence relation is given by an = -2an-1 with an initial condition of a0 = -1. To find the first six terms of this sequence, we need to use the recurrence relation to generate each term, starting with the initial condition. Using the formula, we can find:

a1 = -2a0 = -2(-1) = 2

a2 = -2a1 = -2(2) = -4

a3 = -2a2 = -2(-4) = 8

a4 = -2a3 = -2(8) = -16

a5 = -2a4 = -2(-16) = 32

a6 = -2a5 = -2(32) = -64

Therefore, the first six terms of the sequence defined by an = -2an-1 with a0 = -1 are: -1, 2, -4, 8, -16, 32.

b) The second recurrence relation is given by an = an-1 - an-2 with initial conditions a0 = 2 and a1 = -1. To find the first six terms of this sequence, we need to use the recurrence relation to generate each term, starting with the initial conditions. Using the formula, we can find:

a2 = a1 - a0 = -1 - 2 = -3

a3 = a2 - a1 = -3 - (-1) = -2

a4 = a3 - a2 = -2 - (-3) = 1

a5 = a4 - a3 = 1 - (-2) = 3

a6 = a5 - a4 = 3 - 1 = 2

Therefore, the first six terms of the sequence defined by an = an-1 - an-2 with a0 = 2 and a1 = -1 are: 2, -1, -3, -2, 1, 3.

c) The third recurrence relation is given by an = 3a2n-1 with an initial condition of a0 = 1. To find the first six terms of this sequence, we need to use the recurrence relation to generate each term, starting with the initial condition. Using the formula, we can find:

a1 = 3a0 = 3(1) = 3

a2 = 3a3 = 3(3) = 9

a3 = 3a2 = 3(9) = 27

a4 = 3a7 = 3(27) = 81

a5 = 3a14 = 3(81) = 243

a6 = 3a29 = 3(243) = 729

Therefore, the first six terms of the sequence defined by an = 3a2n-1 with a0 = 1 are: 1, 3, 9, 27, 81, 243.

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Answer:

Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface

Step-by-step explanation:

The height of Cassidy's diving platform above the water = 6 ft.

The equation that models her dive is d = x² - 7·x + 6

Where;

d = Her vertical position or distance from the water surface

x = Here horizontal distance from the platform

At Cassidy's maximum depth, we have;

dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0

x = 7/2 = 3.5

∴ At Cassidy's maximum depth, x = 3.5 ft.

The maximum depth, \(d_{max}\) = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25

The maximum depth, Cassidy went before coming back up to the surface = \(d_{max}\) = -6.25 ft = 6.25 ft. below the surface of the water.

Answer:c

Step-by-step explanation

Answer:

the Answer is A

Step-by-step explanation: took the test

It can be seen that the value of the mean computed will be 91.9 miles.

A mean simply means the average of a set of numbers. In this case, there are 11 rainbows and thete are total of 1,011 miles.

Therefore, the mean of the numbers will be:

= 1011/11

= 91.9 miles.

In conclusion, the correct option is 91.9 miles.

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Answer:

45 degrees

Step-by-step explanation:

I used a protractor

Faraday's Law states that a change in the magnetic field through a loop of wire induces an electromotive force (EMF) or voltage across the wire. Lenz's Law is a consequence of Faraday's Law and describes the direction of the induced current.

**Faraday's Law of Electromagnetic Induction:**

Faraday's Law states that a change in the magnetic field through a loop of wire induces an electromotive force (EMF) or voltage across the wire. This induced voltage is proportional to the rate of change of magnetic flux through the loop.

The equation representing Faraday's Law is given by:

EMF = -N dΦ/dt

Where:

- EMF represents the electromotive force or induced voltage across the wire.

- N is the number of turns in the wire loop.

- dΦ/dt represents the rate of change of magnetic flux through the loop with respect to time.

To understand this law better, let's consider a simple scenario. Suppose we have a wire loop placed within a changing magnetic field, as shown in the diagram below:

```

        _______

      /         \

     |           |

     |           |

     |           |

      \_________/

```

The magnetic field lines are represented by the X's. When the magnetic field through the loop changes, the flux through the loop also changes. This change in flux induces a voltage across the wire, causing a current to flow if there is a closed conducting path.

**Lenz's Law:**

Lenz's Law is a consequence of Faraday's Law and describes the direction of the induced current. Lenz's Law states that the induced current always flows in a direction that opposes the change in magnetic field causing it.

Lenz's Law can be summarized using the following statement: "The induced current creates a magnetic field that opposes the change in the magnetic field producing it."

To illustrate Lenz's Law, let's consider the previous example where the magnetic field through the wire loop is changing. According to Lenz's Law, the induced current will create a magnetic field that opposes the change in the original magnetic field. This can be represented using the following diagram:

```

  B         ___________

  <---      /           \

  |       |             |

  |       |   Induced   |

  |       |   Current   |

  |       |             |

  V       \___________/

```

Here, the direction of the induced current creates a magnetic field (indicated by B) that opposes the original magnetic field (indicated by the arrow). This opposing magnetic field helps to "fight against" the change in the original magnetic field.

Lenz's Law is a consequence of the conservation of energy principle. When a change in magnetic field induces a current that opposes the change, work is done to maintain the magnetic field, and energy is dissipated as heat in the process.

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Answer:

-5x > 10

Step-by-step explanation:

1. We know that when -14 thrown to the right hand side, it will turn to +14

2. +14 -4 = +10

3. Left hand side will remain -5x

4. Hence, -5x > 10

5. and the equation divided by -5, the > sign will change to <

6. x< -2

7. Since you're finding the missing step so it's -5x > 10

Answer:

62

Step-by-step explanation:

16 x 1/2 = 32

4 x 8 = 32

32 + 32 - 2

64 - 2

62

Answer:

Option (A)

Step-by-step explanation:

The given absolute function is,

f(x) = |-4x + 36|

If the given function f(x) ≥ 0,

(-4x + 36) ≥ 0

4x ≤ 36

x ≤ 9

If the given function f(x) < 0,

(-4x + 36) < 0

4x > 36

x > 9

Therefore, piecewise function that defines the absolute function will be,

f(x) = 4x - 36 if x ≤ 9

        -4x + 36 if x > 9

Option (A) will be the correct option.

Answer:

Step-by-step explanation:

Using Trigonometry: SOH CAH TOA,

Cross multiplying:

x = tan (47°) × 35

  =  37.5329

  = 37.53 to two decimal places