Determine f(2), explain your choice.

1. The math fact completion rate for each student is:

Kiara: m = 5t, where t represents the time in seconds, and m represents the number of math facts completed. Therefore, Kiara's math fact completion rate is 5 math facts per second.

Giovanni: Giovanni's math fact completion rate is 4 math facts per second.

Ebony: Ebony's math fact completion rate is 12 math facts per second.

2. Ebony would win the argument, as she has the highest math fact completion rate.

Answer:

Quadrilaterals

Step-by-step explanation:

Answer:

$49.28 is the sale cost.

Step-by-step explanation:

0.35 x 75.82 = 26.537

75.82 - 26.537

= 49.283 and round

The selling cost of the book will be equal to $49.28.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Judy is looking to buy a textbook. The book normally costs $75.82, but it is on sale for 35% below the regular cost.

The selling cost of the book will be calculated as,

Selling Cost = 0.35 x 75.82 = 26.537

Selling Cost  = 75.82 - 26.537

Selling Cost  = 49.283

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Answer:

so as to minimize responses which might be biased

Hope this can help you :D !!

Randomization in an experiment means random assignment of treatments. This way we can eliminate any possible biases that may arise in the experiment.

The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

The equation of the trigonometric function graphed is A) f(x) = 3 sin (x) - 2.

Given a graph of the trigonometric function.

We have to find the equation of the trigonometric function.

For x = π/2, y = 1

Also, when x = 3π/2, y = -5

A) If the function is,

f(x) = 3 sin (x) - 2,

When x = π/2

f(x) = 3 sin (π/2) - 2

     = 3(1) - 2

     = 1

When x = 5π/2

f(x) = 3 sin (5π/2) - 2

     = 3 (-1) - 2

     = -5

Hence the correct option is A.

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Answer:

Step-by-step explanation:

Answer:

1.96 * 10^9 (1,960,000,000)

Step-by-step explanation:

This is basically 1,200,000,000 + 760,000,000

Answer:

Step-by-step explanation:

Down payment of 35000 is:

Down payment of 56000 is:

Answer:32553

Step-by-step explanation:1,400x35000x 56000/ 140000

The calculated value of y in the diagram is (b) 80

From the question, we have the following parameters that can be used in our computation:

DE ia parallel to XY

Using the above as a guide, we have the following equation

y + 100 = 180

Evaluate the like terms

y = 80

Hence, the value of y is (b) 80

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we move left and right in x and up and down in y

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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Answer:

342.29

Step-by-step explanation:

You take away the other decimal places.

The round-up to  2 decimal places of 342.296269789 will be 342.30.

To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.

In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.

For example round of 346 will, be350 and round of 344 will be 340

Given the digit,

342.296269789

Now,

The 3rd decimal digit is 6 which is greater than 5

So,

2nd digit will round up since it is 9 so it will round as 10 and gives 1 to the first decimal place.

So,

342.296269789 ⇒ 342.30.

Hence "The round-up to  2 decimal places of 342.296269789 will be 342.30".

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Answer:

d ≈ 5.7

Step-by-step explanation:

[Given] d² = 33

[Square root both sides] \(\sqrt{d^{2} }\) = \(\sqrt{33}\)

[Solve for \(\sqrt{33}\) and cancel out the square root + square] d ≈ 5.74456

[Round to nearest tenth] d ≈ 5.7

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

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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Answer:

Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75.

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

Step-by-step explanation:

Total treats to buy = 20

Total cost to spend = $30

Price of one candy pack = 1.75

We need to find:

a) What is the maximum number of packs that she will be able to buy?

Price of 1 candy pack = $1.75

If she spends $30, divide 30 by 1.75 to get the number of candy packs she can buy

Number of candy packs = \(\frac{30}{1.75} = 17.14 \approx 17\)

So, Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75

b)  Will that be enough for all of her students?

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

chat

No, the relationship on the table is not proportional

From the question, we have the following parameters that can be used in our computation:

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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The study benefit from adding a control group as it would help in the correlation

A control group is s used to establish a cause-and-effect relationship by isolating the effect of an independent variable.

The best way to randomly place the bulls into the Therapy A, Therapy B, and control groups is random testing. The best blocking method will be breeding.

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Answer:

Your answer is 9

Step-by-step explanation:

√9=3

3-7=-4

Answer:

900 trucks on a highway with 3600 vehicles

Step-by-step explanation:

3 out of 12 is also 1/4  (one quarter)

so 3600 ÷ 4 = 900 trucks on a highway with 3600 vehicles

hope this helps :))

Answer: Yes there is a direct proportional relationship between x and y.

=============================================

Explanation:

Direct proportional relationship equations are of the form y = kx

In the first row we have x = 3 and y = 2 pair up. So if y = kx, then,

y = kx

2 = k*3

2/3 = k

k = 2/3

Making the equation y = (2/3)x

Let's try the second row with this new equation. Plugging in x = 6 should lead to y = 4

Let's find out

y = (2/3)x

y = (2/3)*6

y = (2/3)*(6/1)

y = (2*6)/(3*1)

y = 12/3

y = 4

So this verifies the second row. The third row will be similar

y = (2/3)x

y = (2/3)*9

y = 6

I'll let you verify the fourth row. You should find that x = 12 leads to y = 8

Answer: It is 6

Step-by-step explanation:

Answer:

It is C - buy from a reputable website

Step-by-step explanation:

I got it right on the quiz. Good luck and may the Lord bless you!

Step-by-step explanation:

The safest way for someone to make an online purchase is to buy from a reputable website.

We have given that,

A.ask friends what websites are secure.

B.check with the government first.

C.buy from a reputable website.

D. visit a locally run website.

We have to determine

The safest way for someone to make an online purchase is to

Online shopping is a form of electronic commerce that allows consumers to directly buy goods or services from a seller over the Internet using a web browser or a mobile app.

Therefore option C is correct.

Therefore the safest way for someone to make an online purchase is to buy from a reputable website.

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Answer:

\((a)\ (1,5)\)

Step-by-step explanation:

Given

\((x + 9)^2 + (y - 4)^2 = 101\)

Required

Which of the points does it pass through

To do this, we simply substitute the values of x and y in the above equation.

So, we have:

\((a)\ (1,5)\)

\((x + 9)^2 + (y - 4)^2 = 101\)

\((1 + 9)^2 + (5 - 4)^2 = 101\)

Solve each bracket

\(10^2 + 1^2 = 101\)

\(100 + 1 = 101\)

\(101 = 101\)

The above equation is true,

Hence, it passed through \((1,5\))

We do not need to check for others

We have the following equation:

since we need P, we must move k and V to the left hand side as

By substituting the given values, we get

that is, P is equal to 2.

Answer:

The temperature range is \(95^o\) , going from \(-45^0\)  to \(40^o\)

Step-by-step explanation:

The temperature range is the difference between the maximum and the minimum temperature:

\(40^o-(-45^o)=40^o+45^o=95^o\)

The temperature range is \(95^o\) , going from \(-45^0\)  to \(40^o\)

Answer:

angle nol equals 67⁰

Step-by-step explanation:

since they make a straight line they both equal 180⁰ when added together

Answer:

67

Step-by-step explanation:

Those angles are supplementary so they add up to 180. so if you do 180-113 you'll end up with 67°.