There are 797 identical plastic chips numbered 1 through 797 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Answer:

Step-by-step explanation:

vertex and focus are horizontally aligned, so parabola is horizontal.

focal length p = distance between focus and vertex = 0.25

focus lies to the left of vertex, so the parabola opens to the left.

x = a(y-k)² + h,

vertex (h,k)

a = -1/(4p)

vertex (-6,5)

h = -6

k = 5

p = 0.25

a = -1/(4·0.25) = -1

x = -(y-5)² - 6

Answer:

a. Is the answer..

Let's solve for y.

y=−x+3

Answer:

y = −x + 3 = y = −x + 3

Hence f(x) = -x + 3 is equivalent to y = −x + 3

Hope it helps

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Thank you

Answer: 6 2/3 pounds.

Step-by-step explanation:

Answer:

6 2/3 pounds

Step-by-step explanation:

Answer:

the answer is 0.073

Step-by-step explanation:

0.657/9= 0.073

Answer:

the radius is 9 and the diameter is 18

Answer:

Cos(a - b) = 0.959

Step-by-step explanation:

We know that:

Sin(a) = 4/5

Such that a is on the first quadrant (between 0° and 90°)

then:

Sin(a) = 4/5

Asin(sin(a)) = Asin(4/5)

a = Asin(4/5) = 53.13°

And:

Cos(b) = 2/5

Then:

Acos(Cos(b)) = Acos(2/5)

b = Acos(2/5) = 36.67°

Then:

Cos(a - b)

where:

a = 53.13° and b = 36.67°

Then:

Cos(a - b) = Cos(53.13° - 36.67°) = 0.959

The value of the expression 3 + 5³ × 5 + 1 will be 629.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

According to the PEMDAS rule, the operation should be performed in the order of the computation or the parentheses, whichever comes first.

The sum of three and five to the third power times five plus one will be written mathematically and will be

⇒ 3 + 5³ × 5 + 1

Simplify the expression, then the value of the expression will be

⇒ 3 + 125 × 5 + 1

⇒ 3 + 625 + 1

⇒ 629

The value of the expression 3 + 5³ × 5 + 1 will be 629.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Step-by-step explanation:

In this case, we should use the following direct and inverse Laplace Transforms:

[tex]F(s) = G(s) + H(s)[/tex] (1)

[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)

[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)

[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)

Then, we apply all these trasforms:

[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]

[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]

[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Answer:

Step-by-step explanation:

increase ≤ 55-43.5

increase ≤ 11.5

Elanor can increase her speed by 11.5 miles per hour.

Answer: 240

Step-by-step explanation:

Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly

Answer:

x = 8

Step-by-step explanation:

Answer:

equal, tell me if I'm wrong

Answer:

The simplest form of 84/96 is 7/8.

Step-by-step explanation:

Thus, 7/8 is the simplified fraction for 84/96 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 84/96 by using the prime factorization method.

Answer:

Step-by-step explanation:

30% of 90 = 27

To explain this in a simple way we can check the work

10% of 90 = 9

9 x 3 = 27

Answer:

3x+7x

Step-by-step explanation:

Answer:

D) 3x+7x

Step-by-step explanation:

D) 3x+7x

Answer:

False

Step-by-step explanation:

4/2 = 2/1 = 2

And 2 ≠ 1

Hence, 4/2 ≠ 1

Hope it helps :)

Answer:

no .

Step-by-step explanation:

4/2 is equivalent to 2 , if it were 2/2 then it would be yes .

Answer:

you are right

Step-by-step explanation:

Use the law of law of cos

c^2=a^2+b^2﹣2abcos√angle

(2√13)^2=52=4+36-24cos(a)

cos(a) = -12/24 =  -1/2

a = 120 degrees

so yes, you are right

Answer:

8,9,10

Step-by-step explanation:

Answer:

Both of them are NOT equivalent.

Step-by-step explanation:

Use the distributive property to see if 5(x - 1) and 5x - 1 were equivalent.

5(x - 1)

= 5x - 5

This tells us 5(x - 1) is not equivalent to 5x - 1.

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Answer:

Step-by-step explanation:

Answer: need a pic or more info

Step-by-step explanation:

it is oxygen no doubt about it

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

Answer:

Help her around the house.

Step-by-step explanation:

If shes like nice sometimes, then go hug her or give her some water.