Size of each of mr sirac's classes

Answer:

log 81 = 1.90849

Step-by-step explanation:

log 81 = log 9^2 = 2 log 9 = 2(0.95424) = 1.90849

Using the limit definition of the derivative, you have

[tex]\displaystyle f'(-5) = \lim_{x\to-5} \frac{f(x) - f(-5)}{x - (-5)} = \lim_{x\to-5} \frac{(2x^2+4x+7) - 37}{x + 5}[/tex]

Simplify the numerator:

(2x ² + 4x + 7) - 37 = 2x ² + 4x - 30

… = 2 (x ² + 2x - 15)

… = 2 (x + 5) (x - 3)

Then

[tex]\displaystyle f'(-5) = \lim_{x\to-5}\frac{2(x+5)(x-3)}{x+5} = \lim_{x\to-5} 2(x-3) = \boxed{-16}[/tex]

• • •

For your second question in the comments, if f(x) = -2x ² + 3x - 7, then by the definition of the derivative, you have

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{(-2(x+h)^2+3(x+h)-7) - (-2x^2 + 3x - 7)}h[/tex]

Simplify the numerator:

(-2 (x + h)² + 3 (x + h) - 7) - (-2x ² + 3x - 7)

… = (-2x ² - 4xh - 2h ² + 3x + 3h - 7) - (-2x ² + 3x - 7)

… = -4xh - 2h ² + 3h

Now compute the limit:

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{-4xh-2h^2+3h}h = \lim_{h\to0}(-4x-2h+3) = \boxed{-4x+3}[/tex]

Answer: i think a nd c

Step-by-step explanation:

Domain:(−∞,∞),{x|x∈R}

Range:[2,∞),{y|y≥2}

The Domain is {1, 2, 3, 4} and the range is { 11, 18, 27, 38}

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

Y=x^2+4x+6

As, we know that domain is the input value and range is the output value.

Then, x = 1

y = 1 + 4 +6

y= 11

and, x= 2

Y = 4 + 8 +6

Y = 18

and, x= 3

Y = 9 + 12 + 6

Y = 27

and, x = 4

Y = 16 + 16 + 6

Y = 38

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Answer:

X=37

Step-by-step explanation:

180-45-98=37

Answer:

assuming that you want us to add them together here's the answer i got-

5y²−3y+3

Step-by-step explanation:

let us simplify step-by-step-

4y²−2y−5+y²(−y)+8

= 4y²+(−2y)+(−5)+y²+(−y)+8

combining like terms-

=4y²+−2y+−5+-y²+−y+8

=(4y²+y²)+(−2y+−y)+(−5+8)

=5y²+−3y+3

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

7

Step-by-step explanation:

2+2+3

Answer:

B

Step-by-step explanation:

You multiply the 3 numbers.

9514 1404 393

Answer:

  y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

  y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

  9 = a(b^0) = a

  2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

  (2187/9) = b^5

  243^(1/5) = b = 3

The exponential function is ...

  y = 9(3^x)

Answer:

x = 3

Step-by-step explanation:

Move all terms containing x to the left

5x + 2 = 17

Move all terms not containing x to the right

5x = 15

Divide each term by 5 and simplify

x = 3

Answer:

15

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

Mean 7

Median  6

Mode 3

Range 12

Answer:

i think the question is incomplete but

Tina at an average contains each package of

50 sheets ÷ 8 pack

6.205 of sheet in each pack

125 sheets ÷ 3 packs

caz contain at average 41.60 sheet average

but where the juan packs of paper that's why question is incomplete

Answer:

The owner will have to pay $ 125 after 2 hours.

Step-by-step explanation:

Given that the line graph shows the amount of water loss in a leaking tank during 7 hours, and the owner pays $ 1 for every 8 liters of water lost, to determine how much will he have to pay after 2 hours the following calculation must be performed :

((6000 - 5000) / 8) x 1 = X

(1000/8) x 1 = X

125 x 1 = X

125 = X

Therefore, the owner will have to pay $ 125 after 2 hours.

Answer:

Soln

At first find the total area of figure then decrease the area with shaded region.

You can get answers.

Answer:

k=-0.25

Step-by-step explanation:

Answer:

All triangles add up to 180 degrees so...

180 - 43 - 59 = 78 degrees.

So x - 78 degrees.

x and y are supplementary angles so...

180 - 78 = 102.

So y = 102.

180 - 102 - 49 = 29 degrees

So z = 29 degrees

Hope this helps!

Answer: look i learned a lesson to never cheat and dont do the same mistake you too plz here is a thing that can help you answer your question

Step-by-step explanation:

here is the the link that can help you do the questions

am not the link people

https://teachers.henrico.k12.va.us/math/HCPSAlgebra1/Documents/9-4/SolveSysByElimMult.ppt

Answer:

10c - 5

Step-by-step explanation:

" the product" tells you you're multiplying 10 and c, and "5 less" means subtracting 5 from the other part of the expression.

Answer:

it rose three eighths of a pound

Answer: 2, 1.5 , -0.75

(b) [tex]4x-3y-10=0[/tex]

Step-by-step explanation:

Given

line is [tex]3x+4y-6=0[/tex]

Converting it into intercept form

[tex]\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1[/tex]

So, the x-intercept is [tex]2[/tex] and y-intercept is [tex]1.5[/tex]

The slope is given by

[tex]-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75[/tex]

(b) the line perpendicular to the above line and passing through [tex](1,-2)[/tex]

The slope of the required line

[tex]m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}[/tex]

Equation of the line is given by

[tex]\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0[/tex]

using cos to get x

cos -1 of 13/20

= 49.45

then y = 40.54° using sin y= opp /hyp =13\15

then the sin-1 of 13/20 =40.54 •

Answer:

1.330391 ; 1.734064 ; 1.713872 ; 1.670649 ;

Step-by-step explanation:

a) t0.10, 18

α = 0.10 ; df = 18

From table, critical value = 1.330

(b) t0.05, 18

α = 0.05 ; df = 18

From table, critical value = 1.734

(c) t0.05, 23

α = 0.05 ; df = 23

From table, critical value = 1.714

(d) t0.05, 60

α = 0.05 ; df = 60

From table, critical value = 1.671

(e) t0.005, 60

α = 0.05 ; df = 60

From table, critical value = 2.660

Answer:

I don't know

Step-by-step explanation:

Dapat kasi mag-aaral ka mabuti para ikaw ay magiging matalino

Answer:The Cost of one rose bush is $11 and the cost of one shrub is $5

Step-by-step explanation: Well it took me 40 mins to get the answer and yes i know it shouldn't take that long but for a freshmanbut wow that was hard  , well 11 x 8 = 88 and 5 x 8 = 40 add that up 128 and for the 2nd question 11x 11= 121 then 5x 12= 60 and when you add it up you got 181 so what would the main numbers be that you used for both problems? it would be 11 for one  rose  and 5  for one shrubs. thanks for wasting my time on a hard question that took me 40 mins to answer

Answer:

i have made it in above picture

hope it helps

Answer:

I only know the first question, If you leave that money for 1 year it would equal $480 basically,  $300 x 1.6 = $480.

Step-by-step explanation:

The required amount in your account after 2 years will be $337.08.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,
If you deposit $300 in an account with a 6% interest rate, the amount in your account after 1 year can be calculated as follows:

Find the interest earned after one year:

Interest earned = (6/100) x 300 = $18

Add the interest earned to the original amount:

Total amount after 1 year = $300 + $18 = $318

Therefore, the amount in your account after 1 year will be $318.

If you leave this money in the account for another year, the amount in your account after 2 years can be calculated as follows:

Find the interest earned after two years:

Interest earned in year 1 = $18

Interest earned in year 2 = (6/100) x $318 = $19.08

Add the interest earned to the original amount and the interest earned in year 1:

Total amount after 2 years = $300 + $18 + $19.08 = $337.08

Therefore, the amount in your account after 2 years will be $337.08.

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Answer:

The first blank is 9  for 9 cucumbers

The second blank is 8 dollars

Step-by-step explanation:

We can use ratios to solve

3 cucumbers           x cucumbers

--------------------- = ----------------------

2 dollars                   6 dollars

Using cross products

3*6 = 2x

18 = 2x

Divide by 2

18/2 = 2x/2

9 =x

We need 9 cucumbers

For the third row

3 cucumbers           12 cucumbers

--------------------- = ----------------------

2 dollars                   y dollars

Using cross products

3*y = 2*12

3y = 24

Divide by 3

3y/3 = 24/3

y = 8

We need 8 dollars

Answer:

Randy's ball is 904.78 larger than Mandy's.

Step-by-step explanation:

Using math, we find that Mandy's ball is 904.78 inches in volume and if Randy's is twice the size that's, 904.78 x 2 = 1809.56. so Randy's ball is 904.78 larger than Mandy's

Answer: son, estoy, estas, es, son, estamos, son, estan

Step-by-step explanation:

If it is talking about someone else then try to use, son. Like the first one. For words for yo use words like estoy. I don´t really know how to explain them but they make sense.

Answer: 31,672 mi2

Step-by-step explanation:

The area of the state of Nevada can be estimated using a trapezoid