The radius of a circle is 17 inches. What is the circle's area?
Use 3.14 for л.

The critical points are x = π/4 and x = 3π/4, and the extreme values on the interval [0,2] are 1/2 and -1/2,

To find the critical points of f(x) = 2 sin(x) cos(x) on the interval [0, 2] and determine the extreme values, we will first take the derivative of the function and set it equal to zero to find the critical points.

f(x) = 2 sin(x) cos(x)

f'(x) = 2 cos(x) cos(x) - 2 sin(x) sin(x) (using the product rule)

\(f'(x) = 2(cos^2(x) - sin^2(x))\)

f'(x) = 2(cos(2x))

Setting f'(x) equal to zero to find the critical points, we get:

2(cos(2x)) = 0

cos(2x) = 0

2x = π/2, 3π/2, 5π/2

x = π/4, 3π/4, 5π/4

Only the values x = π/4 and x = 3π/4 are in the interval [0,2], so these are the critical points.

Next, we need to determine the extreme values of f(x) at these critical points and the endpoints of the interval [0,2].

We can do this by evaluating the function at these points and comparing the values.

f(0) = 0

f(π/4) = 2(sin(π/4)cos(π/4)) = sin(π/2)/2 = 1/2

f(3π/4) = 2(sin(3π/4)cos(3π/4)) = -sin(π/2)/2 = -1/2

f(2) = 0

Therefore, the function has a maximum value of 1/2 at x = π/4 and a minimum value of -1/2 at x = 3π/4.

There are no extreme values at the endpoints of the interval [0,2].

Thus, the critical points are x = π/4 and x = 3π/4, and the extreme values on the interval [0,2] are 1/2 and -1/2, respectively.

The final answer is: π/4, 3π/4, 1/2, -1/2

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The initial pressure of N2 and H2 gas in the vessel before being heated (before the reaction) is approximately 1.1864 atm.

The initial pressure of the N2 and H2 gas in the vessel can be calculated using the ideal gas law equation, which is:

PV = nRT

Where:

P is the pressure in atm V is the volume in liters n is the number of moles

R is the ideal gas constant (0.0821 L·atm/mol·K)

T is the temperature in Kelvin

To find the initial pressure of N2 and H2 gas, we need to calculate the total number of moles of gas present in the vessel.

Volume (V) = 25.0 L

Moles of N2 (n1) = 25.0 mol

Moles of H2 (n2) = 35.0 mol

Temperature (T) = 298 K

First, we need to calculate the total number of moles of gas present in the vessel:

Total moles of gas (ntotal) = moles of N2 + moles of H2

ntotal = n1 + n2

ntotal = 25.0 mol + 35.0 mol

ntotal = 60.0 mol

Next, we can substitute the values into the ideal gas law equation to calculate the initial pressure (P)

: PV = nRT P * V = n * R * T

P = (n * R * T) / V

Substituting the given values: P = (60.0 mol * 0.0821 L·atm/mol·K * 298 K) / 25.0 L

Now, we can calculate the initial pressure: P = 1.1864 atm

Therefore, the initial pressure of N2 and H2 gas in the vessel before being heated (before the reaction) is approximately 1.1864 atm. Please note that the answer may vary depending on the number of significant figures used during calculations.

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Reliable sources are what make your research paper solid and strong.

Reliable sources are crucial in ensuring that your research paper is solid and strong. It is important to conduct thorough research and choose only the most credible sources to support your arguments and ideas. By utilizing high-quality sources, you can add depth and validity to your work, ultimately leading to a more impactful and successful paper.
A reliable source is America's Sunday morning talk show on CNN from 1992 to 2022, focusing on analysis and commentary on American media. It airs at CNN's WarnerMedia Studios in New York City from 11:00 AM to 12:00 PM ET. He also broadcasts internationally on CNN International.

This program was originally designed to analyze media coverage of the Persian Gulf War, but has since focused on media coverage of the Valerie Prime incident, the Iraq war, Mark Felt's trip as the Deep Throat, and many other things and internal information. On August 18, 2022, CNN canceled the show and host Brian Settler announced he was leaving the network. The final episode will air on August 21, 2022.

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Answer:

x = 11.25

Step-by-step explanation:

-6 = 0.8x - 15

Add 15 to both sides;

-6 + 15 = 0.8x - 15 + 15

9 = 0.8x

Divide both sides by 0.8;

x = 11.25

Answer:

Divide both sides by 0.8;

x = 11.25

Step-by-step explanation:

Answer:

i believe the correct one is the second one

Julie received an amount of $134.4 when she cashed her paycheck.

Let x be the amount of the paycheck.

She gave her brother ten dollars.

She then paid $30 for the car's petrol.

So she departed with an amount equal to x-40.

She now spent half of the remaining accounts on a new camping tent.

Spent camping = (x - 40)/2

Remaining = x - 40 - (x - 40)/2

She paid $29.45 for a pair of running shoes.

Therefore, remaining =  x - 40 - (x - 40)/2 - 29.45

As per the question, she had $17.75 remaining.

So x - 40 - (x - 40)/2 - 29.45 = 17.75

Rearrange the terms and solve for x,

(x - 40)/2 = 47.2

x - 40 = 94.4

x = 134.4

Therefore, she received an amount of $134.4 when she cashed her paycheck.

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The possible outcomes for pulling a card and spinning the spinner are as follows: Card 1, Spinner 1, Card 1, Spinner 2 ,Card 1, Spinner 3, Card 1, Spinner 4, Card 1, Spinner 5 ,Card 1, Spinner 6 , Card 2, Spinner 1, Card 2, Spinner 2, Card 2, Spinner 3, Card 2, Spinner 4, Card 2, Spinner 5, Card 2, Spinner 6 , Card 3, Spinner 1, Card 3, Spinner 2, Card 3, Spinner 3, Card 3, Spinner 4, Card 3, Spinner 5, Card 3, Spinner 6, Card 4, Spinner 1, Card 4, Spinner 2, Card 4, Spinner 3, Card 4, Spinner 4 ,Card 4, Spinner 5, Card 4, Spinner 6.

The problem involves two independent events: pulling a card and spinning a spinner.

There are four cards labeled by color, so there are four possible outcomes for pulling a card. Let's label them as Card 1, Card 2, Card 3, and Card 4.

The spinner has six equal numbered sections, so there are six possible outcomes for spinning the spinner, labeled as Spinner 1, Spinner 2, Spinner 3, Spinner 4, Spinner 5, and Spinner 6.

To determine the possible outcomes for pulling a card and spinning the spinner, we need to consider all the combinations of the card and spinner outcomes. We list all the possible combinations from Card 1 and Spinner 1 to Card 4 and Spinner 6.

Therefore, there are a total of 24 possible outcomes for pulling a card and spinning the spinner, as listed above. Each outcome represents a unique combination of a card and a spinner section.

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Answer:

92°F

Step-by-step explanation:

in degrees Fahrenheit,

t=7

f(7)=64 + 4(7)

=92

Answer:

38

Step-by-step explanation:

The rule of PEMDAS (parentheses, exponents, multiply, divide, addition, subtraction) must be followed when solving this equation.

1. Simplify the equation

m · 6 + 3 · 4 = 240

m · 6 + 12 = 240

2. Solve for m

- subtract 12 from both sides

m · 6 = 228

- divide both sides by 6

228 ÷ 6 = 38

m = 38

Answer:

38 is right

Step-by-step explanation

i just took the test

Answer:

36.5feet

Step-by-step explanation:

tan47º=h/34

h=36.4605=36.5feet

The tree is at height 36.5 feet if the point on the ground is 34 feet from the tree.

The angle of elevation to a nearby tree from a point on the ground is measured to be 47º

The angle of elevation is when you are measuring the angle from the floor or the ground.

\(tan47^0=h/34\)

\(34 tan47^0=h\)

h=36.4605

h=36.5 feet

Therefore the tree is at height 36.5 feet if the point on the ground is 34 feet from the tree.

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✪According to question:-

Ben is 6 years older than Ishaan

So :-

put supposed values

Original Ages :-

✪Verification :

1st condition:-

put original ages

LHS=RHS

Hence verified !

Ben's age = 8 years

Answer:

49°

Step-by-step explanation:

Right angled triangle:

This is a type of triangle with one of the angle as 90°

Sum of angles in a Right angled triangle is 90°

Therefore,

y + 41° = 90°

collecting like terms

y = 90 - 41 = 49°

Therefore,

y = 49°

Answer:

x = 2

Explanation:

The given expression is

7x - 4 - 3x = -3x + 10

First, we need to add the like terms on the left side

(7x - 3x) - 4 = -3x + 10

4x - 4 = -3x + 10

Add 4 to both sides

4x - 4 + 4 = -3x + 10 + 4

4x = -3x + 14

Add 3x to both sides

4x + 3x = -3x + 14 + 3x

7x = 14

Finally, divide by 7

7x/7 = 14/7

x = 2

Therefore, the answer is x = 2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(x = 1\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Calculating the answer...}}\\\\\frac{x+3}{6}=\frac{2}{3}\\\----------\\\rightarrow (\frac{x+3}{6})6=(\frac{2}{3})6\\\\\rightarrow x + 3 = 4\\\\\rightarrow x + 3 - 3 = 4 - 3\\\\\rightarrow \boxed{x=1}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 1

Step-by-step explanation:

( x + 3 ) / 6 = 2 / 3

Step 1 Cross multiply

( x + 3 ) * 3 = 3x + 9

2 * 6 = 12

We now have 3x + 9 = 12

Step 2 Subtract 9 from both sides

3x + 9 - 9 = 12 - 9

9 - 9 cancels out

12 - 9 = 3

We now have 3x = 3

Final step; divide both sides by 3

3x/3 = x

3/3 = 1

We're left with x = 1

To check our answer we can plug in 1 for x in the expression

( x + 3 ) / 6 = 2 / 3

Substitute 1 for x

1 + 3 / 6 = 2 / 3

Simplify addition

4/6 = 2/3

Simplify fraction

2/3 = 2/3 ✓

Answer:

8 inches

Step-by-step explanation:

Let w be the width of rectangle B.

Since, both rectangles are similar.

Therefore, corresponding lengths and widths of rectangles A and B will be in proportion.

\( \therefore \frac{20}{40} = \frac{4}{w} \\ \\ \frac{1}{2} = \frac{4}{w} \\ \\ w = 2 \times 4 \\ \\ w = 8 \: inches\)

Answer:

8"

Step-by-step explanation:

Lᵃ/Wᵃ = Lᵇ/Wᵇ

20"/4" = 40"/Wᵇ

Wᵇ = (4"×40")/20"

Wᵇ = 160" ÷ 20"

Wᵇ = 8"

Width of rectangle B = 8 inches

______________

#IndonesianPride

- kexcvi -

s + 2h = 7

s + 4h = 12

s = 12 - 4h

12 - 4h + 2h = 7

- 2h = -5

2h = 5

hotdog = $2.50

s = 12 - 10

soda = $2

Answer:

c. the typical value is greater in set b. the spread is greater in set a

Step-by-step explanation:

The typical value is greater in set A. The spread is greater in set B.

The correct answer is an option (B)

"It is the average value (mean) of the data"

"It is the difference between maximum and minimum value."

For given example,

We can observe that the typical value for set A is between 7 and 8

and the typical value for the set is in between 4 to 5.

So, the typical value is greater in set A

The range of the set A is :

R = 9 - 6

R = 3

The range of the set B:

R = 7 - 0

R = 7

So, the spread is greater in set B.

Therefore, the typical value is greater in set A. The spread is greater in set B.

The correct answer is an option (B)

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Answer: x=9 y=13

Step-by-step explanation:

algebra nation said so

Based on the proportional relationship between the number of pens and pair of socks, we would expect Jane to have approximately 450 pens.

To determine the expected number of pens Jane would have based on the proportional relationship between the number of pens and pair of socks, we need to find the ratio of pens to socks for both Jane and Alicia and then apply that ratio to Jane's socks.

The ratio of pens to pair of socks for Jane is:

Pens to Socks ratio for Jane = 450 pens / 180 pair of socks = 2.5 pens per pair of socks.

Now, we can use this ratio to calculate the expected number of pens for Jane based on her socks:

Expected number of pens for Jane = (Number of socks for Jane) * (Pens to Socks ratio for Jane)

Expected number of pens for Jane = 180 pair of socks * 2.5 pens per pair of socks = 450 pens.

Therefore, based on the proportional relationship, we would expect Jane to have approximately 450 pens.

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hope this helps you (⁠ ⁠´⁠◡⁠‿⁠ゝ⁠◡⁠`⁠)

By performing the desired calculation using each arrangement and squaring the difference between the result and the target value, you can determine the arrangement that yields the largest squared difference.

To find the arrangement of the 6 numbers that generates the biggest difference squared, you need to consider all possible permutations of the numbers. For each arrangement, perform the desired calculation using the given, such as addition, subtraction, multiplication, or any other specified operation.

Once you have the calculated result for each arrangement, calculate the squared difference between the result and the target value. This is done by subtracting the target value from the calculated result and then squaring the difference.

By comparing the squared differences obtained for each arrangement, you can identify the arrangement that yields the largest squared difference. This arrangement will have the maximum difference squared between the calculated result and the target value.

It's important to note that the specific calculation or operation to be performed is not mentioned in the question. Therefore, you need to specify the operation or provide more information to determine the exact steps for performing the calculation.

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Answer:

D. -29.5

Step-by-step explanation:

−14.160÷−0.48

Expand -14.16 over -0.48 by multiplying both numerator and the denominator by 100.

-1416 / -48

and lastly reduce the fraction -1416 / -48 to lowest terms by extracting and canceling out -24 to get 592/2 and

59/2 = 29 1/2 = 29.5

Answer:

wow u call that 6th grade

Step-by-step explanation:

I am in 8th grade and dont get this at all.

never touched the topic

The rule that describes this translation is

\((x,y) \longrightarrow (x-3, y+5)\)

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Both of these are correct. When multiplying 32 and 8, we should follow these steps:

So, the correct answer is 256.

Here is the multiplication shown step-by-step:

 32
   8

 16 --> drop down 6 and carry the 1

1
32
   8

   6

24-   --> drop down the 4 and add 1; carry the 2

 56

2

 32
    8

   6

 5 -

2 - - --> drop down the 2 since no more digits available to multiply

256 --> the answer

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Answer:

12 toppings

Step-by-step explanation:

To do this, we need to write an equation for each place, and then, equal both equations to solve for this.

Let's call "y" the price of the pizza, and "x" the number of toppings.

At Vincents, pizza costs 6.75 + 0.75 for each topping, so the equation here would be:

y = 6.75 + 0.75x  (1)

Now, at italian pizza, a pizza costs 6.15 + 0.80 per topping, so the equation:

y = 6.15 + 0.80x  (2)

Now, we don't need to know the actual price of the pizza, we only want to know how many toppings we need to add on both places, so the pizza has the same price. We have both equations, it's time to equal both of them:

Equalling (1) and (2) we have:

6.75 + 0.75x = 6.15 + 0.80x

Now, let's solve for x:

6.75 - 6.15 = 0.80x - 0.75x

0.6 = 0.05x

x = 0.6 / 0.05

x = 12

So the number of toppings to include in the pizza so the price is the same for both places, will have to be 12 toppings.

Answer:

12 toppings and the prize will be the same.

Step-by-step explanation:

Let

number of toppings = a

Medium pizza at Vincent's

cost  = 6.75 + 0.75a

Medium pizza at Original Italian Pizza

cost  = 6.15 + 0.80a

For the cost to be the same

6.75 + 0.75a = 6.15 + 0.80a

collect like terms

6.75 - 6.15 = 0.80a - 0.75a

0.6  = 0.05a

divide both sides by 0.05

a = 0.6/0.05

a = 12  

12 toppings and the prize will be the same.