Y=4x+8 y=-x-7 solve by substitution

Answer:

850 people

Step-by-step explanation:

10,200 people in 12 rows

÷ 12 on both sides:

[tex]\frac{10200}{12}[/tex] people in [tex]\frac{12}{12}[/tex] rows

[tex]850[/tex] people in [tex]1[/tex] row.

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{h}{-3}~~,~~\stackrel{k}{4})\qquad \implies f(x) = a[x-(-3)]^2+4\implies f(x) = a(x+3)^2+4 \\\\\\ \textit{we know that} \begin{cases} x=0\\ f(x) = -5 \end{cases}\implies -5=a(0+3)^2+4\implies -5=9a+4 \\\\\\ -9=9a\implies \cfrac{-9}{9}=a\implies \boxed{-1=a}~\hfill \blacktriangleright f(x)=-(x+3)^2+4 \blacktriangleleft[/tex]

Answer:

15

Step-by-step explanation:

Answer:

AC ≈ 50.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{28}{x}[/tex] ( multiply both sides by x )

x × tan29° = 28 ( divide both sides by tan29° )

x = [tex]\frac{28}{tan29}[/tex] ≈ 50.5 ( to the nearest tenth )

Answer:

50.5

Step-by-step explanation:

In the right triangle, focus on angle A.  The side marked 28 is the opposite side, and the side marked  x  is the adjacent side.  The trigonometric ratio that uses those two side is the tangent ratio.

tangent = (opposite) / (adjacent)

[tex]\tan{29^\circ}=\frac{28}{x}[/tex]

Multiply both sides by  x.

[tex]x\cdot \tan{29^\circ}=28[/tex]

Divide by tan 29 degrees.

[tex]x=\frac{28}{\tan{29^\circ}}[/tex]

Use a calculator (in degree mode!) to approximate  x.

[tex]x \approx 50.5[/tex]

a. There are 26 letters in the English alphabet, with two cases for each letter; 10 numerical characters in the range 0-9; and 5 special characters; thus a total of 26•2 + 10 + 5 = 67 characters.

Any character can be used more than once, so there are

67⁶ + 67⁷ + 67⁸ + 67⁹

or 27,618,753,243,839,080 total possible passwords.

b. If we require at least 1 special character, then there are 62 choices for each ordinary character we use and 5 for each special character.

Suppose we use a password of length 6. Then there are

62⁵•5¹ + 62⁴•5² + 62³•5³ + 62²•5⁴ + 62¹•5⁵ + 62⁰•5⁶

or

[tex]\displaystyle \sum_{k=1}^6 62^{6-k}\cdot5^k[/tex]

We count the longer passwords in a similar fashion:

[tex]\displaystyle \sum_{m=6}^9 \left(\sum_{k=1}^m 62^{m-k}\cdot5^k\right)[/tex]

or 1,206,930,268,794,100 total passwords

c. 1 second (s) is equal to 10⁶ microseconds (μs). If it takes 1 μs to try 1 password, then it would take

(1,206,930,268,794,100 passwords) • (1 μs / password) • (1 s / 10⁶ μs)

= 1,206,930,268.7941 s

= (1,206,930,268.7941 s) • (1 min / 60 s)

≈ 20,115,504.4799 min

≈ (20,115,504.4799 min) • (1 h / 60 min)

≈ 335,258.408 h

≈ (335,258.408 h) • (1 day / 24 h)

≈ 13,969.1003 days

≈ (13,969.1003 days) • (1 year / 365 days)

≈ 38.2715 years

[tex]\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1[/tex]

Answer:

Step-by-step explanation:

f(x)= -2/9x + 1/3 = -2/9(0) + 1/3 = 0 + 1/3= 1/3

Answer: 100

Step-by-step explanation: 50 x 1/2=100

Answer:

♦ 80 is what percent of 400?

a. Base

b. Rate

c. Percentage

Answer: b. Rate

Solution:-

80 is 20% of 400 ( the rate is the percent)

♦ 16% of what number is 56?

a. Base

b. Rate

c. Percentage

Answer: a. Base

Solution:-

16% of 350 is 56 (The base is the amount which you're taking a percent of)

Check the picture below.

Answer:

3.25 L

Step-by-step explanation:

0.25*13=3.25

Answer:

C

Step-by-step explanation:

Answer:

abc

Step-by-step explanation:

thanks for ur patience

Answer:

y = -8x + 2

Step-by-step explanation:

A slope-intercept form equation is y = mx + b where m is the slope and b is the y-intercept. Using this, we can plug in -8 and 2 to create our equation.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

$15540 is 2.1% of 740,000 which is the same percent as the 920,000 which was 2.1 percent so your answer is $15540

Step-by-step explanation:

Answer:last one

Step-by-step explanation:

A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are  mathematically given as

Generally, the equation for Mean is mathematically given as

[tex]X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}[/tex]

X=36

b)

Generally, the equation for standard deviation is mathematically given as

[tex]\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\[/tex]

[tex]\sigma=5[/tex]

c)

The probability that the number will be exactly 19

[tex]p(x=19)=\frac{19-6}{66-6}[/tex]

p(x=19)=0.2167

d)

The probability that the number will be between 28 and 46 is P(28 < x < 46)

[tex]P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})[/tex]

P(28 < x < 46) =0.3

e)

The probability that the number will be larger than 48 is P(x > 48)

[tex]P(x > 48)=1-P(x\leq 48)[/tex]

Therefore

[tex]P(x > 48)=1-(\frac{48-6}{66-6})[/tex]

P(x > 48)=0.3

f)

[tex]P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))[/tex]

Therefore

[tex]P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})[/tex]

P(x > 17 | x < 62) =0.75

g)

The 49th percentile

[tex]p(x\leqk=k.(1/66-6))[/tex]

Therefore

[tex]0.49=k*(1/(66-6))[/tex]

k=29.4

h)

The maximum for the lower quartile

P(xl)=h*1/60

0.25=h*1/60

h=15

Read more about probability

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Answer:

yes, yes they do

Step-by-step explanation:

i dont know what you're asking

If Speed = dist/time, then;

dist = speed * time

We also know that both of them travel the same distance, so we equate the distance travelled to each other

36 * x+45 = 72 * x

36x + 1620 = 72x

72x - 36x = 1620

36x = 1620

x = 1620/36

x = 45 miles

learn more about distance covered here https://brainly.com/question/17894416

Answer:

The final velocity, V, of an object under constant acceleration can be found using the formula V2=v2+2as , where v is the initial velocity in meters per second, a is acceleration in meters per second, and s is the distance in meters.

Answer: 110%

Step-by-step explanation: All you have to do is divide the numerator (11) by the denominator (10) which gets you 1.1 and then just add a 0 at the end to make it out of 100 so it would be 110%

Answer:

$425000

Step-by-step explanation:

561000*100/132=425000

Answer:

$350.75

Step-by-step explanation:

Answer:

22/77

Step-by-step explanation:

just put the probable amount over the total amount for these

Answer:

4 better explanation inbox

Step-by-step explanation:

Answer:

  13.05%

Step-by-step explanation:

The value of an ordinary annuity earning interest compounded annually is ...

  A = P((1 +r)^n -1)/r . . . . . interest rate r for n years on principal payments P

For this account, the balance after 5 years will be ...

  A = 3000((1 +.07)^5 -1)/0.07 = 3000·5.750739

The sum of payments is ...

  payment total = 3000·5

Then the amount of interest is ...

  3000·(5.750739 -5) = 3000·0.750739

and the fraction that is of the account balance is ...

  (3000·0.750739)/(3000·5.750739) × 100% ≈ 13.05%

About 13.05% of the balance is interest earned.

Answer:

X would be 1,000

Step-by-step explanation:

Answer:

Sometimes it's better to leave them as roots because it's easier sometimes to solve problems with them still as roots

Answer:

We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.

Step-by-step explanation:

Why do we do Radicals in the first place?

Radicals are used to write the square root or the nth root of a number. We sometimes leave specific numbers (non-perfect squares) as a radical because the output would be infinity

Example:

[tex]\sqrt45[/tex] is not a perfect square, it lies between [tex]\sqrt36[/tex]  and [tex]\sqrt49[/tex]

This means the number lies in between 6 and 7

The true root of 45 is irrational. Recall that irrational numbers are numbers of non-perfect squares. [tex]\sqrt45[/tex] = 6.7082039.......

Simplify:

[tex]\sqrt 45 = \sqrt 9 * \sqrt 5\\[/tex]

[tex]= \sqrt3^2 * \sqrt 5\\\\ \\= 3\sqrt5[/tex]

We choose not to pursue simplifying this because  [tex]\sqrt5[/tex]  is irrational (square root of a non-perfect square)

Summary:

We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.

-Chetan K