What is the length of bd?

Final answer:

To find the solutions of the quadratic equation 3x^2 - x + 6 = 0, we can use the quadratic formula. The solutions are complex numbers: x = (1 ± i√71) / 6.

Explanation:

To find the solutions of the quadratic equation 3x^2 - x + 6 = 0, we can use the quadratic formula. The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

By comparing the given equation to the standard quadratic equation form ax^2 + bx + c = 0, we can determine that a = 3, b = -1, and c = 6. Substituting these values into the quadratic formula, we get:

x = (-(-1) ± √((-1)^2 - 4(3)(6))) / (2(3))

Simplifying further, we have:
x = (1 ± √(1 - 72)) / 6

Finally, evaluating the expression under the square root, we get:
x = (1 ± √(-71)) / 6

Since the square root of a negative number is not a real number, the solutions to the quadratic equation are complex numbers. Hence, the solutions are:

x = (1 ± i√71) / 6

Answer:

11 calculators do not weigh more than four pounds.

Step-by-step explanation:

Start off with the basic idea that 16 ounces = 1 pound.

1. Multiply the weight of one calculator by the number of calculators given

11 * 5 = 55 ounces

2. Divide 55 oz by 16 to get the number of pounds

55/16 = 3.4375 lbs.

3. 11 calculators weigh 3.4 pounds which is lower than 4 pounds

Hope this helped :)

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Answer:

Yes

Step-by-step explanation:

So one calculator weighs 5 ounces. So if we have 11 we sould times 5 x 11 to equal 55. After, we calculate how many ounces 4 pounds is. If one ounce to a pound is 16 we do 16 x 4 that would equal 64. That is above 55 ounces.

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A. 12 in

We know that the sports stadium is 180 ft tall and that in the scale model there is 2 in for every 30 ft. If we divide 180 by 30 we get 6. There is 2 in for every 30 ft, so the answer would be 6 x 2 or 12 in.

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 2 inches = 30 feet and the height of the sports stadium is 180 feet.

The height of the sports stadium in scale model in inches is 12 inches.

Option C is the correct answer.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

In 5 minutes a machine can cut 10 potato

In 1 minute a machine can cut 2 potato.

We have,

30 feet = 2 inches

Divide both sides by 30.

1 feet = 2/30 inches

Now,

1 feet = 2/30 inches

Multiply 180 on both sides.

180 feet = 180 x 2/30 inches

180 feet = 6 x 2 inches

180 feet = 12 inches

Thus,

If 2 inches = 30 feet and the height of the sports stadium is 180 feet.

The height of the sports stadium in scale model in inches is 12 inches.

Learn more about unit rates here:

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Answer: [tex]p=38\°[/tex]

Step-by-step explanation:

By definition, you know that:

[tex](p+29\°)+(7p+27\°)=360\°[/tex]

Therefore, keeping this on mind, you can find the value of p, as following.

- Add the like terms:

[tex]p+29\°+7p+27\°=360\°\\8p+56\°=360\°[/tex]

- Subtract 56° from both sides of the equation and then divide both sides of thte equation by 8.

Therefore, you obtain that the value of p is:

[tex]8p+56\°-56\°=360\°-56\°\\8p=304\\\\\frac{8p}{8}=\frac{304\°}{8}\\p=38\°[/tex]

Answer: The short answer is that some goals are simply incompatible with each other, like the law in Colorado that raised the minimum wage. That's great for the employees, bad for the employers. Employers, like employees, want to make money and stay in business. The more money each employer has to pay their employees, the higher the prices for certain goods go for that business to stay open.

Step-by-step explanation:

Answer: 891

Step-by-step explanation

99x9=891

I believe The answer is 891!

Answer:14.375

Step-by-step explanation divide it

Answer:

1 X 16 and 8 X2

Step-by-step explanation:

1 X 16 = 16

2 X 8 = 16

3 X nothing = 16

4 X 4 = 16

5 X nothing = 16

6 X nothing = 16

7 X nothing = 16

8 X 2 = 16

etc.

[tex]\bold{Hey\ there!} \\ \\ \bold{Choose\ all\ of\ the\ correct\ factors\ of\ 16}[/tex]

[tex]\bold{It \underline{CAN'T} \ be\downarrow} \\ \bullet\ \bold{3\times5\ because\ it\ equals\ to\ 15} \\\bullet\ \bold{4\times3\ because\ it \ equals\ to\ 12} \\ \\ \\ \\ \bold{It\ \underline{CAN} \ be\downarrow} \\ \bullet \ \bold{1\times16\ because\ it\ equals\ to \ 16} \\ \bullet \ \bold{8\times2\ because\ it\ equals\ to\ 16} \\ \\ \\ \boxed{\boxed{\bold{Answer(s):1\times16\ \& \ 8\times2}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your \ day!} \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

-3.5

Step-by-step explanation:

Answer:

The perimeter of the polygon is [tex]66\ cm[/tex]

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

If the polygon circumscribes the circle

then

AB=AH

GH=GF

EF=ED

CB=CD

therefore

the perimeter is equal to

[tex]P=2(9+12+4+8)=66\ cm[/tex]

Answer:

yes theoretically it did work

Step-by-step explanation:

hypothetically it is supposed to land on each side half of the time, but as we all know it's a matter of luck. since after you put on the layer of coating and it landed on heads more thank half of the time (50%), it technically has worked but in a real world application it would be hard to tell/justify.

the factored form is

-25xy(-4z+3)

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

[tex]4!=4\cdot3\cdot2\cdot1=24[/tex]

possible ways to do it.

Answer:

64

Step-by-step explanation:

4 x 4 x 4 = 64

8 x 8 = 64

The ratio of carnations to roses in the garden is 19:31.

Since there are 57 carnations in the garden, there are 57 * 31/19 = 93 roses in the garden.

Answer:

The answer is 93

Step-by-step explanation:

Answer:

y=x^2

Step-by-step explanation:

That one doesn't make a straight line it makes a parabola.

Answer:

im not great at math but i believe the answer is  24mm^2

Step-by-step explanation:

triangle area formula- (B*H)/2

large triangle:

6+4+2=12

H=12

B=5

5*12=60

60/2=30

small trangle:

4*3=12

12/2=6

30-6=24

therefore answer should be 24mm^2

Answer:

[tex]P = 84\%[/tex]

Step-by-step explanation:

The average is:

[tex]\mu = 40,000\ miles[/tex]

The standard deviation is:

[tex]\sigma = 1,000\ miles[/tex]

We want the probability that a tire lasts more than 39,000 miles.

This is:

[tex]P (X>39,000)[/tex]

Now we must transform these values to those of a standard normal distribution to facilitate calculation by using the probability tables.

[tex]P (X> 39,000)\\\\P (X-\mu> 39,000-40,000)\\\\P (\frac{X-\mu}{\sigma}> \frac{39,000 -40,000}{1,000})\\\\P (Z> -1)[/tex]

This is:

[tex]P(Z> -1) = P(Z<1)[/tex] ---------- (For the symmetry of the standard normal distribution)

When you search for the normal standard table, you get the following value:

[tex]P(Z <1) = 0.8413\\\\P(Z> -1) = 0.8413[/tex]

Answer:

1. 4x, -2y, and 3

2. x and y

3. is 3

4. x

5. Coefficient

6. exponent

7. y*2

8. x to the y

9. no

Step-by-step explanation:

Answer: I would say Y E because thats the only one that makes sense.

Step-by-step explanation:

See the attached picture:

10 to the power of 6

10^5 × 10 = 10^6

--------------------------

Answer:

y = 1, x = 2/5 or (2/5, 1)

Step-by-step explanation:

Since you already know that y = 1, you can substitute 1 into the y of the other equation. So you end up with:

1 = -5x + 3

Then you solve this equation. First you subtract 3 from both sides and get:

-2 = -5x

Then you divide both sides by -5 and get:

2/5 = x

And you already know that y = 1 so your answer is:

x = 2/5, y = 1 or (2/5, 1)

Answer:

The answer is A

Step-by-step explanation:

Hope this helps got it right on the quiz

Answer:   [tex]\bold{d)\quad \sqrt{6x^2-1}}[/tex]

Step-by-step explanation:

[tex]f(x)=\sqrt{2x-5}\qquad g(x)=3x^2+2\\\\\\f(g(x))=\sqrt{2(3x^2+2)-5}\\\\.\qquad \quad =\sqrt{6x^2+4-5}\\\\.\qquad \quad =\sqrt{6x^2-1}[/tex]

Answer:

Below, the fractions organized from least to greatest:

a. 1/7, 1/5, 1/3

b. 2/7, 2/5, 2/3

c. 1/6, 3/6, 5/6

d. 4/12, 5/12, 8/12

Answer: $253

Step-by-step explanation:

Answer:

The answer is 253.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4n + 6 = 12

4n = 6

n = 3/2

4n + 6 = 12

subtract 6 on both sides

4n = 6

divide by 4 on both sides

n=3/2

Answer:

The answer is 9

Step-by-step explanation:

39X39 is 1521

1521/169=9

so carmen needs 9 cans of paint

To paint the square ceiling of 1521 square feet, Carmen will need to round up from the approximately 9 cans of paint that would be required to cover it, so she will need to purchase 10 cans of paint.

Carmen would be dealing with a mathematical concept related to area and division. Since the ceiling is a square, we can find the total area by squaring the length of one side. This means multiplying 39 (feet) by itself: 39*39 = 1521 square feet.

Each tin of paint can cover 169 square feet, so if we divide the total square feet of the ceiling by what one tin can cover, we get the amount of tins needed. This means 1521 divided by 169: approximately 9 cans of paint. Since you cannot buy a fraction of a can, Carmen will need to purchase 10 cans of paint to ensure she can cover the entire area of the ceiling.

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32×.25=8

so 8 students wear glasses