Solve the quadratic equation 3x^2-9x+1=0.
Please help.

Answer:

It would be no

Perpendicular = x

Hypotenuese = 30

\({ \sf{sin \: \: 45 {}^{ \degree} = \dfrac{1}{ \sqrt{2} } = \dfrac{x}{ 30} }}\)

\({ \sf{x = \dfrac{30}{ \sqrt{2} } }}\)

Answer:

15√2 is your answer

Step-by-step explanation:

for your question

relation between perpendicular and hypotenuse is given by sin angle

sin45=p/h

sin45=x/30

x=sin45×30=15√2

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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angle 3 = angle 6 = 60°

hope it helps...!!!

Answer:

m∠3 = 60°

m∠6 = 60°

Step-by-step explanation:

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.  This is called the "Alternate Interior Angles Theorem".

As line p intersects the set of parallel lines m and n at two distinct points, then m∠3 = m∠6  and  m∠4 = m∠5

Given:

As m∠3 = m∠6, then:

⇒ 7x - 10 = 5x + 10

Add 10 to both sides:

⇒ 7x - 10 + 10 = 5x + 10 + 10

⇒ 7x = 5x + 20

Subtract 5x from both sides:

⇒ 7x - 5x = 5x + 20 - 5x

⇒ 2x = 20

Divide both sides by 2:

⇒ 2x ÷ 2 = 20 ÷ 2

⇒ x = 10

Now substitute the found value of x into one of the angle expressions:

m∠3 = 7(10) - 10

       = 70 - 10

       = 60°

As m∠3 = m∠6,  then m∠6 = 60°

Answer:

4

Step-by-step explanation:

Percentage Calculator: 160 is what percent of 4000? = 4.

The value of the quantity d is 0.0462 m^2/s.

Here,

The quantities a=3.7m, b=3.7s, c=80m/s.

We have to find the value of d = a^3/cb^2

What is quantity?

A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.

Now,

The quantities a=3.7m, b=3.7s, c=80m/s.

The value of d;

\(d = \frac{a^{3} }{cb^{2} }\)

\(d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }\)

\(d = \frac{3.7}{80}\)

\(d = 0.0462\)

Hence, The value of the quantity d is 0.0462 m^2/s.

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The tolerable deviation rate decreases, it necessitates a larger sample size to maintain the desired level of confidence and accuracy in the Sampling size.

In attributes sampling, the tolerable deviation rate refers to the acceptable level of non-conforming items or errors in a population. It represents the maximum rate of deviation or non-conformance that is considered acceptable for a given attribute or characteristic being inspected.

When the tolerable deviation rate is decreased, it means that a lower level of deviation or non-conformance is deemed acceptable. This has an effect on the sample size required for the attributes sampling.

Generally, a decrease in the tolerable deviation rate will lead to an increase in the required sample size. The reason for this is that when the acceptable level of deviation is reduced, it becomes more stringent, and a larger sample is needed to ensure that the observed deviation rate is statistically representative of the population.

By increasing the sample size, there is a higher likelihood of capturing a sufficient number of defective or non-conforming items to make reliable conclusions about the population's quality level. This helps to reduce the risk of accepting a batch or population that actually has a higher defect rate than what is considered tolerable.

the tolerable deviation rate decreases, it necessitates a larger sample size to maintain the desired level of confidence and accuracy in the sampling results. The increased sample size allows for a more precise estimation of the population's quality level, providing greater assurance in decision-making regarding acceptance or rejection of the population based on the observed deviation rate.

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Answer:

logx a + logx b

Step-by-step explanation:

The summation is the adding two quantities thus the reasonable estimate of the total length of the trench is 1 1/2 meters so option (C) is correct.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities.

There could be only two terms, but there could be one hundred, a thousand, or a million.

Here are always an integer number of terms in a summation.

As per the given,

Length of the trench on the first day = 18/20 meters

Length of the trench on the second day = 9/20

Total length of the trench = 18/20 + 9/20

Take LCM as 20

⇒ (18 + 9)/20 = 27/20

⇒ 1.35 which is closest among the given option by 1 1/2 meters.

Hence "The summation is the adding two quantities thus the reasonable estimate of the total length of the trench is 1 1/2 meters".

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Answer:

The terminal point is (1, 0) ⇒ D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis

In a unit circle

∵ Ф = 2π radians

→ By using the 1st rule above

∴ The terminal point is (1, 0)

Answer:

(1,0)

Step-by-step explanation:

Answer:

2x+1

Step-by-step explanation:

Answer:

\(10x^2 (10x^2 -3)\)

Step-by-step explanation:

\(100x^4 -30x^2 \\ 10x^2 \cdot \frac{100x^4 -30x^2}{10x^2} \\ 10x^2 (10x^2 -3)\)

The equation to plot in the complex Cartesian plane is 2Re(z) - |z²| ≥ -3Im(iz).

To plot the equation 2Re(z) - |z²| ≥ -3Im(iz) graphically, you can follow these steps:

1. Represent the complex number z in terms of its real and imaginary parts, z = x + yi, where x is the real part and y is the imaginary part.

2. Substitute the values of x and y into the equation and simplify it.

3. Separate the equation into real and imaginary parts.

4. For each part, plot the corresponding inequality on the Cartesian plane.

- For the real part, plot the inequality 2x - |(x + yi)²| ≥ -3y.

- For the imaginary part, plot the inequality 0 ≥ 0 (as -3Im(iz) = 0 for all values of x and y).

5. Determine the common region that satisfies both inequalities. This region represents the solution to the original equation.

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Answer:

The selling price for each shirt would be 8 dollars.

Step-by-step explanation:

10% of $20 is 2 and to make a whole would be 10% x 10 = 100%

so 2 x 10 = 20

we could break this down to 2+2+2+2+2+2+2+2+2+2=20

we know that one 2 is 10% so to make 40% we need 4.

4 x 2 = 8

Answer:

A dollar

Step-by-step explanation:

7+3 is 10

3 divided by 1 is 3

Answer: 1 Dollar Per Cookie!!!

Step-by-step explanation:

$10.00

- $7.00

  $3.00

$3.00 ÷ 3cookies = $1.00 per cookie

Answer:

4xy

Step-by-step explanation:

2 x 2 = 4, then just plop the x and y down, and there's your answer

Answer:0.48

Step-by-step equation:

Answer:

.22/63

Step-by-step explanation:

area = pi x R^2

A=22/7 * 1/3^2

Answer: Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

Step-by-step explanation:

From the question, the ratio of number of 100, 50 and 10Rs notes is 2:3:5respectively and the total cash with ramesh is 400000.

Total ratio = 2+3+5 = 10

100Rs = 2/10 × 400000

= 80,000

50Rs = 3/10 × 400000

= 120,000

10Rs = 5/10 × 400000

= 200,000

Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

The distance covered for the different routes are northern route = 2,000 miles ,central route is insufficient information , and southern route ≈ 1,500 miles.

Distance covered by the rider completed the whole way represents the Mean distance.

Let us analyze the northern, central, and southern routes in terms of the median distance covered and the mean distance covered,

Northern Route (Maine to Washington),

Number of attempts= 2

Distance covered by both riders = 2,000 miles

Both riders quit in Montana.

Since there have only been 2 attempts on the northern route,

Consider the median distance covered to be the same as the mean distance covered, which is 2,000 miles.

Central Route (Virginia to California),

Number of attempts = 19

Riders who didn't make it out of Virginia = 9

Riders who made it all the way to the Pacific = 10

For the central route, the information provided does not indicate the exact distances covered by the riders who succeeded or failed.

This implies, cannot determine the median or mean distance covered on this route.

Southern Route (Florida to San Diego),

Number of attempts = 32

Rider who completed the whole way = 1

Rider who quit before starting = 1

Riders who quit in Texas (between 1,300 and 1,700 miles) = 30 (evenly distributed)

Since the 30 riders who quit in Texas were evenly distributed between 1,300 and 1,700 miles,

Estimate the median distance covered to be approximately halfway between these values, which is 1,500 miles.

The rider who completed the whole way represents the mean distance covered on this route.

Therefore, distance for the routes,

Northern Route is Median distance covered = Mean distance covered = 2,000 miles.

Central Route is Insufficient information to determine median or mean distance covered.

Southern Route is Median distance covered ≈ 1,500 miles,

Mean distance covered = Distance covered by the rider who completed the whole way.

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The above question is incomplete, the complete question is,

Doug is going to ride his bicycle 3 , 000 miles across the United States, from coast to coast. He wants to choose the route that will give him the greatest chance of success. Here's what he finds in his research: There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2 , 000 miles and quit in Montana. There have been 19 attempts on the central route from Virginia to California; 9 of those riders didn't make it out of Virginia and the other 10 made it all the way to the Pacific. There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1 , 300 and 1 , 700 miles. For the northern route, the median distance covered will be the mean. For the central route, the median distance covered will be the mean. For the southern route, the median distance covered will likely be the mean.

(x+2)/3 = (3x-2)/6

6(x+2) = 3(3x-2)

6x+12 = 9x-6

12+6 = 9x-6x

18 = 3x

x = 6

Answer:

1-10

Step-by-step explanation:

Answer:

It’s 1 and 10

Step-by-step explanation:

i just took the k12 test and got %100

The volume of the cylinder is 4004 cubic metres.

The diameter of the cylinder is 28 metres and the height of the cylinder is 6.5 metres.

Therefore, the volume of the cylinder can be found as follows:

Hence,

volume of a cylinder = πr²h

where

Therefore,

volume of the cylinder =  22 / 7 × 14² × 6.5

volume of the cylinder = 22 / 7 × 196 × 6.5

volume of the cylinder = 28028 / 7

volume of the cylinder = 4004 cubic metres

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Answer:

Any value for x will always be true

Step-by-step explanation:

Step 1: Add 8x to both sides

Step 2: Add 12 to both sides.

Step 3: Divide both sides by 16.

x=0 (Any value)

Answer:

the distance may be 21/31 meters

Step-by-step explanation:

then to simplify find a equation for 21 which will be 3x7

                                                  and 31 will be            31x1 and itll be 7/1

Answer:

True

Step-by-step explanation:

Yes, A proportional relationship is linear.

Answer:

the answer Is D ............

Answer:

For number 2: 8/165

Step-by-step explanation:

The total number of coins = 11 ( 3 + 4 + 4 = 11).

The probability of picking a nickel first = 3/11 ( 4 nickels out of 11 total).

The probability of picking a dime second = 4/10 = 2/5 ( 3 dimes out of 10 coins left).

The probability of picking the third coin as a quarter = 4/9 ( 3 quarters out of 9 coins left).

I don't know the other problem, sorry.

Answer:

2)  8/165

3) 4/15

Step-by-step explanation:

2) P(N,D,Q) = 3/11 x 4/10 x 4/9

3) P(M,D) = 4/10 x 6/9