What is the area
of a sector
when 0=pi/2 radians and
8/
3?

Answer:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞), {x|x∈R}

Range: {y|y=10}

(I apologize if this doesnt help)

Answer:

5 science questions and 1 math question

Step-by-step explanation:

i literally just counted on my fingers by 3

Answer:

C. take 10% of $46

Step-by-step explanation:

Hope this helps you! :)

We are given:
Initial sound Intensity: 110 dB
Rate of decreasing sound level: 16% every second

Constructing the equation:
Since the Intensity decreases by 16% of it's current value every second.
Intensity(t) = [tex]110 * (\frac{84}{100})^{t}[/tex]               [where t is the time elapsed]
In this equation, we multiply the initial sound intensity by 84% (since 16% was diminished).
because we are multiplying the same value by 84%, it will keep taking that percentage of the new value, which is what we need here because the music's intensity keeps becoming 84% of the previous value.

Time at which sound level falls to 30 dB:
replacing intensity by 30 in the equation we made.
[tex]30 = 110 * (\frac{84}{100})^{t}[/tex]
[tex]\frac{3}{11} = (\frac{84}{100})^t[/tex]
taking log of both sides.
[tex]log(\frac{3}{11}) = t*log(\frac{84}{100})[/tex]
[tex]\displaystyle \frac{log(\frac{3}{11})}{log(\frac{84}{100})} = t[/tex]

t = 7.452 seconds

Answer:

Equation:  [tex]y=110(0.84)^x[/tex]

(where x is the time in seconds, and y is the sound level in decibels)

Answer: The sound level falls below 30 decibels after 7.452 seconds (3 dp)

Step-by-step explanation:

We can model this as an exponential equation.

General form of an exponential equation: [tex]y=ab^x[/tex]

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the sound decreases by 16% each second, then the growth (decay) factor will be 100% - 16% = 84%  →  0.84

Given:

Substituting these values into the equation:

[tex]\implies y=110(0.84)^x[/tex]

To find how long until the sound level falls below 30 decibels, set y < 30 and solve for x:

[tex]\begin{aligned}110(0.84)^x & < 30\\\\(0.84)^x & < \dfrac{3}{11}\\\\\ln (0.84)^x & < \ln \left(\dfrac{3}{11}\right)\\\\x \ln (0.84) & < \ln \left(\dfrac{3}{11}\right)\\\\x & > \dfrac{\ln \left(\dfrac{3}{11}\right)}{\ln (0.84)}\\\\x & > 7.452008851\end{aligned}[/tex]

Therefore, the sound level falls below 30 decibels after 7.452 seconds (3 dp)

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$88000\\ r=rate\to 1.75\%\to \frac{1.75}{100}\dotfill &0.0175\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases}[/tex]

[tex]A=88000\left(1+\frac{0.0175}{12}\right)^{12\cdot 7}\implies A=88000\left( \frac{4807}{4800}\right)^{84}\implies A\approx 99459.21[/tex]

Answer:

3/4 x 2 = 6/8 6/8 ÷ 4 = 2/8

so each person would get 2/8 cups of potatoes

Answer:

c=a2+b2

use the Pythagorean Theorem

The parabolae b, d and f seen in the real coordinate plane have complex roots.

Second order polynomials are algebraic equations of the form:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex]   (1)

Where:

A value of x is a root of the polynomial for y = 0, which can real or complex but not both according to the discriminant of the quadratic formula. If the polynomial has no real roots, then it does not pass through the x-axis in the real coordinate plane.

Therefore, the parabolae b, d and f seen in the real coordinate plane have complex roots. [tex]\blacksquare[/tex]

To learn more on quadratic functions, we kindly invite to check this verified question: https://brainly.com/question/4119540

Applying the knowledge of radicals, the perimeter of the given triangle is calculated as: 63√6 cm

To find the perimeter of a triangle, add up the length of all its three sides.

Given the trangle in the image:

Perimeter = 12√54 + 15√6 + 6√24

Simplify each radicals

12√(9 × 6) + 15√6 + 6√(4 × 6)

12 × 3√6 + 15√6 + 6 × 2√6

36√6 + 15√6 + 12√6

Add like radicals together

Perimeter = 63√6 cm

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Answer:

6000 lbs is greater then 5000!

Step-by-step explanation:

Answer:

28.3 m²

Step-by-step explanation:

The formula to find the area of a quadrant: 1/4 x π x r², where r is radius (diameter ÷ 2) and π is 3.14 or 22/7 or 3.142.

1) Substitute the values into the formula.

= 1/4 x 22/7 x 6²

2) Solve it.

= 1/4 x 22/7 x 36

= 1/4 x 113.14

= 28.285

2) Round the answer to one decimal place.

= 28.3

Answer:12 1/8

Step-by-step explanation:

you add the denomunator in order to get your answer

Substitute values ​​into expressions and solve??

Answer:

1300

Step-by-step explanation:

After 8 years the worth would become $1,095.91

If n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We are given that $550 invested at 9% interest compounded annually be worth after 8 years.

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

a = 550 (1 + 0.09)^8t

a = 550 (1.09)^8t

a =1,095.91

Hence, the worth would be; $1,095.91

Learn more about compound interest here:

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Answer: 7 hours.

Step-by-step explanation: Randall can assemble 5 race car tracks in an hour and Diggery can assemble 4 race car tracks in an hour.  To see how many hours it takes to make 63 race car tracks, you need to add 5 and 4, since Randall and Diggery are working together.  Both of them combined can make 9 race car tracks in total every hour.  63 can be divided by 9, which is 7.  Therefore, it'll take 7 hours for both of them to make 63 race car tracks.

Let me know if this is right! :)

Answer:

4000

Step-by-step explanation:

Product just means multiply!

40 × 100 = 4000

Answer:

4000

Step-by-step explanation:

40 times 100 is 4000

take the 4 and put the amount of 0's in the equation behind it ( there are 3 in total, 2 from the 100 and 1 from the 40): 4000

Answer:

I don't really know but I'm curious haha

Answer:

I dont know

Step-by-step explanation: I hope someone can help you

Answer:

7.77, 7.773, 7 9/11, 157/20

Step-by-step explanation:

First, convert any fractions to decimals to make it a bit easier to order.

7.773, 157/20, 7.77, 7 9/11

Now we have:

7.773, 7.85, 7.77, 7.82

Order from least to greatest:

7.77, 7.773, 7.82, 7.85

Rewrite using the original numbers in the question:

7.77, 7.773, 7 9/11, 157/20

Hope this helps!

Answer:

D. Graph 4 In an account with 250$ balance that accrues 2% annually, with no deposits or withdrawals, it takes 6 years and 6 months for the balance to be 282$

Step-by-step explanation:

if the balance accrues 2% annually, then that means every year the amount increases by 100% + 2% = 102%

102%= 102/100 = 1.02

if we multiply the balance in the account with 102% or by 1.02 at the beginning of each year we will get the amount accrued at the end of the year

First year: $250 x 1.02 = $260.1

Second year: 260.1 x 1.02 = $265.302

Third year: 265.302 x 1.02 = $270.60802

we can use these points to create a graph that will help us estimate at what year the amount will be 282$

Answer:

D

Step-by-step explanation:

Answer:

25.025

Step-by-step explanation:

x/38.50=65\100 cross multiply and divide by the 100 so now x=Original price=25.025

Answer:

its ethier the photo or the beach ball but i dont know which is

Step-by-step explanation:

Answer:A beach ball.

Step-by-step explanation:

Answer: x=20, y=z=160

Step-by-step explanation:

The number of pounds that one of the heaviest bag weighs more than one of the lightest bag in the given line plot is: 1½

In a line plot, frequency of a data point is either represented by a dot or a mark.

In the line plot given:

Heaviest bag weighs 5¾

Lightest bag weighs 4¼

The difference between the heaviest and lightest bag = 5¾  - 4¼

= 23/4 - 17/4

= (23 - 17)/4 = 6/4 = 3/2

= 1½

The heaviest bag weighs 1½ pounds than the lightest bag.

Learn more about line plot on:

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Answer:

iii is the correct answer (the third one)

Step-by-step explanation:

additive inverse is the same as the reciprocal

It is when the denominator and numerator are swapped around

So the inverse of 3/9 is 9/3

Brainliest would be appreciated

Answer:

The 2 is in the ten thousands place.

Answer:

In this case the number 2 would be located in the tens of thousands.

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.