suppose the landing pad for a helicopter is shaped like a circle with a 35-ft diameter. what is the area of the landing pad?

The probability that you do not roll doubles on the first toss, but you do on the second toss  = 13.89%.

Chance is the study of numerical representations of the probability that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with 1 generally signifying certainty and 0 generally signifying impossibility.

The chances of rolling doubles are 6 out of 36.

The probability is equal to the number of likely outcomes divided by the total number of outcomes:

According to complement rule:

P( not A)=1−P(A)

Then we obtain:

P( not doubles) = 1 - (1/6)

                          = (5/6)

Using Multiplication rule:

P(A∩B)=P(A)×P(B)

Then we obtain:

P(Doubles on second toss) = P( not doubles)×P( doubles)

                                             = (5/6) * (1/6)

                                              = \(\frac{5}{36}\)

                                               = 13.89%

The probability that you do not roll doubles on the first toss, but you do on the second toss  = 13.89%.

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I understand that the question you are looking for is:

You are tossing a pair of fair, six-sided dice in a board game. Tosses are independent. You land in a danger zone that requires you to roll doubles (both faces showing the same number of spots) before you are allowed to play again. How long will you wait to play again? What is the probability that you do not roll doubles on the first toss, but you do on the second toss?

The equation that has one solution will be 4m + 5 = 25. Then the correct option is B.

The equation that has infinitely many solutions will be 2x + 7 - 2x = 7. Then the correct option is C.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

If the variable and constant get eliminated then the equation has infinitely many solutions. If the variable gets eliminated then the equation has no solution.

7. Let's check option B, then we have

4m + 5 = 25

4m = 20

m = 5

8. Let's check option C, then we have

2x + 7 - 2x = 7

2x - 2x = 7 - 7

The equation that has one solution will be 4m + 5 = 25. Then the correct option is B.

The equation that has infinitely many solutions will be 2x + 7 - 2x = 7. Then the correct option is C.

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The original price of the bracelet is £342.86

Discount is defined as a deduction from the usual cost of something.

Let P represent the original price of the bracelet.

Since £240 is 70% of the original price of the bracelet. We can say:

70% of P = £240

70/100 * P = 240

0.7 * P = 240

0.7P  = 240

P = 240/0.7

P = £342.86

Therefore, the original price of the bracelet is £342.86

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Complete Question

A jewelry shop is having a sale. A bracelet is now reduced to £240. This is 70% of the original price. Work out the original price of the bracelet.

The slope of the rapids is -0.067

Kannanaski Rapids drops  62 ft vertically

The horizontal distance of 920 ft.

tan θ is a commonly used trigonometric function along with other 5 functions. tan θ is also called as law of tangent. The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side. It can also be represented as a ratio of the sine of the angle to the cosine of the angle.

Slope of Rapids= tanθ= \(\frac{y}{x}=\frac{-62}{920} \\\)

=-0.067

Therefore, the slope of rapids is -0.067.

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Answer: Yes.

Step-by-step explanation:

1.7 divided by 1.700 is 1

Answer:

2804

Step-by-step explanation:

2504 + 140 + 160 = 2804   (hint: add the 140 + 160 first. It sums up to 300 which is easy to add to 2504)

The acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

To find the acceleration of the particle at \(t = 2\) seconds, we need to differentiate the position function twice with respect to time. First, let's differentiate the position function \(s(t)\) once to find the velocity function \(v(t)\). Using the chain rule, we have:

\(\(v(t) = \frac{d}{dt}[(4t+1)^{3/2}]\)\)

To simplify the differentiation, we can rewrite the function as\(\(v(t) = (4t+1)^{3/2}\)\) . Applying the power rule, the derivative becomes:

\(\(v(t) = \frac{3}{2}(4t+1)^{1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(v(t) = 6(4t+1)^{1/2}\)\)

Next, we differentiate the velocity function \(v(t)\) to find the acceleration function \(a(t)\):

\(\(a(t) = \frac{d}{dt}[6(4t+1)^{1/2}]\)\)

Using the power rule again, we get:

\(\(a(t) = 6 \cdot \frac{1}{2}(4t+1)^{-1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(a(t) = 12(4t+1)^{-1/2}\)\)

Now we can find the acceleration at \(t = 2\) seconds by substituting \(t = 2\) into the acceleration function:

\(\(a(2) = 12(4 \cdot 2 + 1)^{-1/2}\)\)

\(\(a(2) = 12(9)^{-1/2}\)\)

Simplifying the expression, we have:

\(\(a(2) = \frac{12}{3} = 4\) cm/s²\)

Therefore, the acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

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Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

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The percent increase in the flight increase is \(18.35\)%

Definition of percentages.

A percentage is a ratio of some value out of a hundred.

With this definition in mind, if \(20\)% of \(200\) students have a test tomorrow, then a total of \(40\) students have a test tomorrow.

Percentage Increase Calculation Example #1

For the first example, we find the percentage increase for the following scenario:

If your total savings of $\(60\) at the beginning of the week grew to $\(90\) by the end of the week, what is the percentage increase?

This is where our three-step process comes in:

Step 1: Find the difference in values ​​by subtracting the initial value from the final value.

In this case, the final value minus the initial value can be calculated as follows:

\(90 -60 = 30\)

So in this example, the difference between the two values ​​would be \(30\). Remember that when calculating the percentage increase, you will always subtract the smaller value from the larger value.

Step 2:Divide the difference by the initial number

The next step is to take the difference (\(30\) in this example) and divide it by the starting number (\(60\) in this example) like this:

\(30/60 = 0.50\)

Always express your answer as a decimal (this will make your life a lot easier when you get to step three).

Step 3: Multiply by \(100\)

The last step is to multiply the decimal result from step two by one hundred and express the final result as a percentage.

\(0.50 * 100 = 50\)

Final answer: 50% increase

That is all! Using three steps, you can conclude that there was a \(50\)% increase in the money you had from the beginning of the week to the end of the week.

Hence percent increase can be found as follows:

=$\((432-365)/365*100\)

=\(18.35\)%

Therefore, a percent increase in the flight increase is \(18.35\)%

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(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The Fourier transform pair for a function f(x) is defined as follows:

F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk

Now let's prove the given properties:

(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.

To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is even, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx

Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx

Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx

Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:

f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy

Substituting F(y) with the expression derived above:

f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy

Interchanging the order of integration and evaluating the integral with respect to y, we get:

f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx

Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:

f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx

f(y) = 2 ∫[0,∞] f(x) δ(x) dx

f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)

Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The proof for this property follows a similar approach as the one for even functions.

Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is odd, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx

Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx

Now, following the same steps as in the proof for even functions, we can show that

f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx

This completes the proof of property (ii).

In summary:

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

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Defensive driving isn't just about reacting to the unknown. It's about removing the unknown by planning ahead and anticipating potential hazards.

Defensive driving is a proactive approach to staying safe on the road. It involves actively identifying and addressing potential risks and hazards before they become emergencies. In essence, defensive drivers plan ahead and take steps to minimize the likelihood of accidents or dangerous situations. They maintain a safe following distance, anticipate the actions of other drivers, and constantly scan their surroundings for potential threats. By doing so, they gain more time to react to unexpected events and can make better decisions to avoid collisions or other dangerous outcomes.

Defensive driving techniques and how they can enhance road safety. Understanding the principles of defensive driving can help drivers develop better habits and become more aware of their surroundings. It emphasizes the importance of maintaining focus, avoiding distractions, and staying alert at all times while behind the wheel. Defensive driving techniques also teach drivers to adapt to changing road conditions, weather situations, and traffic patterns. By actively practicing defensive driving, individuals contribute to creating a safer driving environment for themselves and others.

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These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.

To describe these people by having a preliminary look at the drawings using an expression with "tener," you can focus on their physical or emotional characteristics. For example, you can say:

1. "Tienen el pelo largo" (They have long hair)
2. "Tienen los ojos azules" (They have blue eyes)
3. "Tienen una sonrisa radiante" (They have a radiant smile)
4. "Tienen una mirada triste" (They have a sad look)
5. "Tienen mucha energía" (They have a lot of energy)

These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.

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Answer:

27.6%

Step-by-step explanation:

See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%.  (8/29)*(100%) = 27.6% to the nearest tenth.

Answer:

Step-by-step explanation:

Given: AQ ≅ RQ, it should be noted that AQY ≅ RQF based on SAS Congruence. Therefore, AQY ≅ RQF.

Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

1. AQ ≅ RQ (Given)

2. ∠YAF and ∠FRY are right angles (Given)

3. ∠AQY = ∠RQF (Vertical angles are congruent)

4. AQ = RQ (Given)

5. AY = RY (Side-Angle-Side Congruence)

6. ∠QYA = ∠RFQ (Angle-Side-Angle Congruence)

7. AQY ≅ RQF (SAS Congruence)

Therefore, AQY ≅ RQF.

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Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

(a) You are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.

(b) You are approximately 13.00 meters away from the center of town at an angle of -67.38°.

(c) You are approximately 57.45 meters away from the center of town at an angle of 3° North of East.

(d) You walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).

(a) Given:

Distance from the center of town = 14.2 meters

Angle North of East = 190°

(i) To find how far East (+x) of the town center you are, we can use trigonometry. The horizontal component (East) is given by:

Distance East = Distance from center * cos(Angle)

Distance East = 14.2 * cos(190°) ≈ -11.79 meters

(ii) To find how far North (+y) of the town center you are, we can use trigonometry. The vertical component (North) is given by:

Distance North = Distance from center * sin(Angle)

Distance North = 14.2 * sin(190°) ≈ -2.98 meters

Therefore, you are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.

(b) Given:

Distance North (+y) of the center = 12.00 meters

Distance East (+x) of the center = -5.00 meters

(i) To find the distance from the center of town, we can use the Pythagorean theorem:

Distance from center = √((Distance North)² + (Distance East)²)

Distance from center = √((12.00)² + (-5.00)²) ≈ 13.00 meters

(ii) To find the angle, we can use trigonometry. The angle is given by:

Angle = atan(Distance North / Distance East)

Angle = atan(12.00 / -5.00) ≈ -67.38°

Therefore, you are approximately 13.00 meters away from the center of town at an angle of -67.38°.

(c) Given:

Distance from the center of town = 44.0 meters

Angle North of East = 23°

Distance walked = 30.0 meters

Angle of walking North of East = 160°

(i) To find the new distance from the center of town, we can use the Law of Cosines:

New distance from center = √((Distance from center)² + (Distance walked)² - 2 * Distance from center * Distance walked * cos(Angle of walking))

New distance from center = √((44.0)² + (30.0)² - 2 * 44.0 * 30.0 * cos(160°)) ≈ 57.45 meters

(ii) To find the new angle, we can use the Law of Sines:

New angle = Angle + Angle of walking - 180°

New angle = 23° + 160° - 180° ≈ 3°

Therefore, you are approximately 57.45 meters away from the center of town at an angle of 3° North of East.

(d) Given:

Distance from the center of town = 22.0 meters

Angle North of East = 123°

Distance walked = 40.0 meters

Direction = West (-x)

(i) To find the new distance from the center of town, we can use the Pythagorean theorem:

New distance from center = √((Distance from center)² + (Distance walked)²)

New distance from center = √((22.0)² + (40.0)²) ≈ 45.28 meters

(ii) To find the new direction, we can subtract the angle of walking from the original angle:

New angle = Angle - 90°

New angle = 123° - 90° ≈ 33°

Therefore, you walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).

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Step-by-step explanation:

0.01408450704

or the other way around 71

Answer:

Step-by-step explanation:

34/2414= 0.014 (rounded to the thousandth)

or

2414/34= 71

/ means divide btw :)

Probability that the student is a woman 0.5, the student received an A 0.09, the student is a woman or received an A 0.54 and the student did not receive an A 0.91

The table shows the probabilities associated with the problem.

(a) Find the probability that the student is a woman.

This is easy, as the probability is simply 50/100 = 0.5.

(b) Find the probability that the student received an A.

There are 4+5=9 students that received an A. So the probability that the student received an A is 9/100 = 0.09.

(c) Find the probability that the student is a woman or received an A.

This is the union of the two events.

P(A U W) = P(A) + P(W) - P(A intersect W)

We already found P(A) and P(W) so we just need to find P(A intersect W).

There are 5 women who received an A, so P(A intersect W) = 5/100.

Now we can calculate:

P(A U W) = 9/100 + 50/100 - 5/100 = 54/100 = 0.54.

(d) Find the probability that the student did not receive an A.

This is just the complement of the event that the student did receive an A. So:

P(not A) = 1 - P(A) = 1 - 0.09 = 0.91.

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The angle -4π/3 in its standard position is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Angle = -4π/3

The coordinates of this point can be found by using the formula for converting from polar to rectangular coordinates:

x = cos(-4π/3)

y = sin(-4π/3)

So, we have

x = -0.5

y = 0.86

As an ordered pair, we have

(0.86, -0.5)

This means that we plot (0.86, -0.5)

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Answer:

442 ft^3

Step-by-step explanation:

Find the floor area

 rectangle   10 x 6 = 60   ft ^2

   two triangles    2      * 1/2 * 3 * sqrt7      = 3 sqrt 7  ft^2

                  (use pyhtagorean theorem to find height of the triangle = sqrt 7)

Total area * height = volume

(60 + 3 sqrt7) * 6.5  = 441.59 ~~ 442 ft^3

Answer: 25.13 m

Step-by-step explanation: pi x 2^2x 6= 25.13

3

This is an approximate number but it should be correct

:)

Answer:

20

Step-by-step explanation:

-5 • (-4) = 20, and multiplying negatives make it positive.

Answer:

-5 × - 4 = 20

since, (-) × (-) = (+)

5 × 4 = 20

therefore,

= +20

The volume of the cylinder with height 8units and radius 4 units is 128πunits^3

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

where:

r is the radius

h is the height

Given the following

h = 8units

r = 4 units

Substitute

V = πr²h

V = π(4)²(8)
V = 128πunits^3

Hence the volume of the cylinder with height 8units and radius 4 units is 128πunits^3

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P(B) = P(black and A) + P(black and M) = (11+15+15)/80 = 41/80

P(A ? B) = P(black and A) = 41/80

we have P(A) = 1, P(B) = 41/80, and P(A ? B) = 41/80.

P(B | A) = P(A and B) / P(A) = (11+15+15) / (13+10+11+11+15+7+15+18) = 41/80. This represents the probability of a randomly selected black car having an automatic transmission.

P(A | C') = P(A and C') / P(C') = (10+11+15+18) / (10+11+15+18+7+11+11+15) = 54/73. This represents the probability of a randomly selected non-white car having an automatic transmission.

a) From the table, we can calculate the following probabilities:

P(A) = P(A and white) + P(A and blue) + P(A and black) + P(A and red) = (13+10+11+11+15+7+15+18)/80 = 80/80 = 1

P(B) = P(black and A) + P(black and M) = (11+15+15)/80 = 41/80

P(A ? B) = P(black and A) = 41/80

So, we have P(A) = 1, P(B) = 41/80, and P(A ? B) = 41/80.

b) We can calculate the following conditional probabilities:

P(A | B) = P(A and B) / P(B) = (11+15+15) / (11+10+11+15+7+15+18) = 41/77. This represents the probability of a randomly selected car having an automatic transmission, given that it is black.

P(B | A) = P(A and B) / P(A) = (11+15+15) / (13+10+11+11+15+7+15+18) = 41/80. This represents the probability of a randomly selected black car having an automatic transmission.

c) We can calculate the following conditional probabilities:

P(A | C) = P(A and C) / P(C) = (13+15) / (13+10+11+15) = 28/49. This represents the probability of a randomly selected white car having an automatic transmission.

P(A | C') = P(A and C') / P(C') = (10+11+15+18) / (10+11+15+18+7+11+11+15) = 54/73. This represents the probability of a randomly selected non-white car having an automatic transmission.

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The probability values are

Given that

COLOR

TRANSMISSION TYPE white blue black red

A                                         13     10     11     11

M                                         15     07    15    18

Also, we have

For the probabilities, we have

(a) P(A) = (13 + 10 + 11 + 11)/(13 + 10 + 11 + 11 + 15 + 07 + 15 + 18)

P(A) = 9/20

P(B) = (11 + 15)/100

P(B) = 13/50

P(A and B) = 11/100

(b) P(A | B) = P(A and B)/P(B)

P(A | B) = (11/100)/(13/50)

P(A | B) = 11/26

This means that the probability that a car is automatic given that it is black is 11/26

P(B | A) = P(A and B)/P(A)

P(B | A) = (11/100)/(9/20)

P(B | A) = 11/45

This means that the probability that a car is black given that it is automatic is 11/45

(c) P(A | C) = P(A and C)/P(C)

Where P(A and C) = 13/100 and P(C) = 28/100

So, we have

P(A | C) = (13/100)/(28/100)

P(A | C) = 13/28

This means that the probability that a car is automatic given that it is white is 13/28

P(A | C') = P(A and C')/P(C')

Where P(A and C') = 32/100 and P(C') = 72/100

So, we have

P(A | C') = (32/100)/(72/100)

P(A | C') = 4/9

This means that the probability that a car is automatic given that it is not white is 4/9

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Answer:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the two angles are same to be equal, then the two sides shown must also be equal.

Therefore you can say that 2x + 31 = 9

Subtract 31 from both sides of the equation

2x + 31 - 31 = 9 - 31  that will give you this:

2x = -22  so

X = -11

Answer:

x=-11

Step-by-step explanation:

2x+31=9

2x=-22

x=-11

Answer:

7

Step-by-step explanation:

f(x)=3x^2-4x

Let x = -1

f(-1)=3(-1)^2-4(-1)

    = 3(1) +4

    = 7

Answer:

\(f(x) = 3 {x}^{2} - 4x \\ f( - 1) = 3 \times { (- 1)}^{2} - 4 \times - 1 \\ 3 + 4 \\ = 7 \\ thank \: you\)

The number of ways are = 1867866560

According to our question-

The passwords contain only digits and lower-case letters.

Length is 6 and the password must contain at least one digit.

There are 26 lower case and 10 digits.

Total = 26+10=36

Length is 6 and the password must contain at least one digit.

Hence, The number of ways are = 1867866560

learn more about permutations and combinations click here:

https://brainly.com/question/28065038

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Answer:

a) 126degrees

b) 47degrees

Step-by-step explanation:

The sum of two supplementary angles is 180 degrees.

Let the other angle be x

x  + 54 = 180

x = 180 - 54

x = 126degrees

The supplement is 126degrees

b) The sum of two complementary angles is 90 degrees.

Let the other angle be y

y  + 43 = 90

y = 90 - 43

y = 47degrees

Hence the complement is 47 degrees