Evaluate the following Exponential functions. A. g(x) = (1/2)^x – 3
find: 1. g(0) 2. g(1) 3. g(-2)

Answer:

There are 352 calories in 6 nuggets. There are 312 calories in a regular size of chips. (fries)

Step-by-step explanation:

80........................

Let's determine the ratio of 4,500,000 to 45,000.4,500,000 / 45,000 = 100. Therefore, 4.5 x 10^6 is 100 times larger than 4.5 x 10^4.

The scientific notation is used to represent very large or very small numbers. It is a shorter and more convenient way of expressing such numbers in multiplication and division.

This notation consists of two parts: the base number and the exponent, which tells how many times the base should be multiplied by itself.

Let us solve the problem,.

To begin with, let's convert both of these scientific notations into standard numbers.4.5 x 10^6 = 4,500,0004.5 x 10^4 = 45,000

Now, let's determine the ratio of 4,500,000 to 45,000.4,500,000 / 45,000 = 100. Therefore, 4.5 x 10^6 is 100 times larger than 4.5 x 10^4.

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Answer:

C

Step-by-step explanation:

Answer:

The answer is C on edge

Step-by-step explanation:

Answer: Below

Step-by-step explanation:

24% is basically 0.24. Since we want to find the original price we make the equation:

x * (1 - 0.24) = 665

For x is the original price. Simplify:

x * (0.76) = 665

x = 665/0.76

x = 875

Our answer is 875

Answer:15 dollars

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Only the friends split the money and got $3 each. Mimi was not involved in splitting the money. Since there were 5 friends, and each friend got $3, the total amount of money that was split was 5 * $3 = $15.

The explicit formula for an arithmetic sequence calculator is a_n = a_1 + (n-1)d.

The formula for an arithmetic sequence is:

a_n = a_1 + (n-1)d

where a_n is the value of the nth term in the sequence, a_1 is the value of the first term in the sequence, n is the position of the term you want to find, d is the common difference between consecutive terms in the sequence, To use this formula to find a specific term in the sequence, simply substitute the values of a_1, n, and d into the formula and evaluate.

For example, if you wanted to find the 10th term in an arithmetic sequence with a first term of 3 and a common difference of 4, you would use the formula

a_10 = 3 + (10-1)4

a_10 = 3 + 36

a_10 = 39

Therefore, the 10th term in this sequence is 39.

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Step-by-step explanation:

x,y£R

x and y are element of real numbers

any number you set for x you get which is strictly greater than 2

Answer:

V = hpi(r)^2

 =  20(3.14)(17)^2 = 18,149.20 cubic mm

More accurately,

V = 20(3.14159)(17)^2 = 18158.39 mm^3

Step-by-step explanation:

Answer:

4.5% per year

Answer: q=11

Step-by-step explanation: 40-7=33 33/3=11

q=11

Answer:

q = 11

Step-by-step explanation:

3q + 7 = 40

    - 7    -7

3q = 33

-------------

     3

q = 11

There are 6 different ways to set up the tournament.

We can make two pairs of teams (a,b and c,d) and then arrange each pair in two different ways (ab, cd and cd, ab). Thus, there are a total of 6 combinations.

(b) There are 8 different outcomes for this tournament. Each pair of teams (a,b and c,d) can play in either the first or second round, and each team can either win or lose. We can calculate the number of outcomes by multiplying the different combinations of the first round (6) with the number of outcomes in the second round (2x2). Therefore, total number of outcomes = 6x2x2 = 8.

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The person will read 800 words in 5 minutes if he does so at the same speed.

The current average speed of the person will be given by the formula -

Average speed = number of words read ÷ total time taken

Keep the values in formula

Average speed of the person = 640/4

Performing division on Right Hand Side of the equation

Average speed of the person = 160

Now, using the same formula to find the time.

Total time required = 800/160

Performing division on Right Hand Side of the equation

Total time required = 5

Thus, it will take him 5 minutes to read.

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Using proportions, it is found that Chris made the most money in the week.

The rates for Michelle's works are missing, as follows:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Chris's salary is given by the sum of the base plus commissions, hence:

C = 250 + 0.015 x 1500 = $272.5.

Michelle's salary is given as follows, considering she is paid double the hourly rate for the holiday:

M = 12 x 2 x 6.50 + 10 x 5 = $206.

Alex salary's is found as follows, considering the rate and the hour and a half for the weekend:

A = 5 x 1.5 x 7 + 7 x (6 + 5.75 + 4.5 + 6.75 + 5.5) = $252.

Hence Chris made the most money in the week.

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Meaning of infinitive generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.

Explanation:

Meaning of infinitive :

Example of infinitive representing action is:

They will lock the front gate to prevent the house from theft.

To prevent represent the action.

Example: To swim in the deep lake may be dangerous for a person.

Example : i like to read in Sanskrit.

Example : I can't wait to eat.

Therefore,  infinitive meaning generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.

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The total arc length AB that the pendulum travels is approximately 13.96 inches.

To find the total arc length traveled by the pendulum, we can use the formula for the arc length of a pendulum given by:

Arc length (s) = θ × r

where θ is the angle in radians and r is the length of the pendulum.

However, in this case, we are given the angle in degrees, so we need to convert it to radians. The formula for converting degrees to radians is:

θ (in radians) = (π/180) × θ (in degrees)

Given that the angle is 80°, we can convert it to radians as follows:

θ (in radians) = (π/180) × 80° = (4π/9) radians

Now, we can calculate the arc length:

Arc length (s) = (4π/9) radians × 10 inches

The total arc length traveled by the pendulum is therefore:

Arc length (s) = (40π/9) inches

To approximate the answer, we can use the value of π as approximately 3.14:

Arc length (s) ≈ (40 × 3.14/9) inches

Arc length (s) ≈ 13.96 inches

Therefore, the total arc length AB that the pendulum travels is approximately 13.96 inches.

Please note that this calculation assumes that the pendulum swings in a perfect arc without any friction or external factors affecting its motion. In reality, there may be slight variations due to factors such as air resistance or imperfections in the pendulum's motion.

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Answer:

the answer is B because 3(x-2) is the same as 3x -2

Answer:

dillations

Step-by-step explanation:

14 ) x + 37 + 37 = 180

or , x + 74 = 180

or , x = 180 - 74

or , x = 106

Answer:

192

Step-by-step explanation:

Volume of triangular prism = area of base * length

The base of the triangular prism is a triangle

The area of a triangle can be calculated by multiplying the base length by the height and dividing that by 2

The base has a base length of 4m and a height of 8m

So area of base = \(\frac{4*8}{2}\)

4 * 8 = 32

32 / 2 = 16

So the area of the base is 16m²

The prism has a length of 12m and we have identified that the area of the base is 16 so volume = 12 * 16

12 * 16 = 192

So the volume of the triangular prism is 192m³

Answer:

192 m^3

Step-by-step explanation:

V = 1/2 * 4 * 8 *12

V = 1/2 * 384

V = 192

Hope this helps!

Answer:

67.1

Step-by-step explanation:

Given That:

Time = 200 minutes = 3.5 hours

Distance = 235 miles

We Know That:

Speed = Distance / Time

SO, Speed = 235 divided by 3.5 = 67.1428571

Round this 3sf = 67.1

Hope this helps.

Answer:

y = -24.6 or y = -123/5

Step-by-step explanation:

First calculate the slope

slope = rise/run = (-26-(-19))/(20-15) = -7/5

(You can also use points (20, -26) & (25, -33), it should get the same answer)

The standard equation of a line is y = mx + b, where m is slope and b is y-intercept.

Plug in the slope we just got, get ==> y = (-7/5)*x + b

Plug in x = 20 & y -26 ==> -26 = -(7*20)/5 + b ==>b = -26 + 28 = 2

so the equation is y = -7/5x + 2

Finally plug in x = 19 => y = -123/5 = -24.6

Answer:

B:-(-2,6) is correct answer 100%

No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.

The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.

Let's consider an example to demonstrate this:

Take the rational numbers 3/4 and 1/2.

If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)

= -1/4.

If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)

= 1/4.

As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.

The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.

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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.

In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.

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Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Since the coins are identical and lined up in a row, the distance between the centers of adjacent coins must be equal to the sum of their radii. Let r be the radius of one of these circular coins. Then, the distance between the centers of adjacent coins is 2r.

According to the problem, the distance between the centers of the first and third coins is 3.2 centimeters. This can be expressed as the sum of the distance between the first and second coins and the distance between the second and third coins:

3.2 = 2r + 2r

Simplifying:

3.2 = 4r

Dividing both sides by 4:

r = 0.8 centimeters

Therefore, the radius of one of these circular coins is 0.8 centimeters.
Let's call the radius of one of these circular coins "r". Since the coins are identical and lined up in a row, the distance between the centers of the first and third coins is equal to the sum of the diameters of the first two coins.

Step 1: Write the equation representing the relationship between the radius and the distance between the centers of the first and third coins:
2r (diameter of the first coin) + 2r (diameter of the second coin) = 3.2 cm

Step 2: Combine the terms on the left side of the equation:
4r = 3.2 cm

Step 3: Solve for the radius "r":
r = 3.2 cm / 4
r = 0.8 cm

The radius of one of these circular coins is 0.8 centimeters.

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Answer: 50.24 cm^2

Step-by-step explanation:

This can be translated to:

An old coin is kept in a cubic box in such a way that the outline of the coin touches the 4 walls of the box, if the base of the box has a perimeter of 24 cm. What is the area of ​​the coin?

The fact that the coin touches the interior of the box means that the diameter of the coin is equal to the side lenght of the box.

The perimeter of the box is 24 cm, and the perimeter of a square is equal to:

P = 4*L

where L is the side lenght of the square.

24 cm = 4*L

L = 24cm/4 = 8cm

Now we know that the diameter of the coin is 8cm

Now, the area of a circle (the coin) is equal to:

A = 3.14*(d/2)^2

where d is the diameter, so we have:

A = 3.14*(4cm)^2 = 50.24 cm^2

Answer:

Step-by-step explanation:

nth term = 3n+2

a) first term = 3+2 = 5

Second term = 3(2)+2 = 8

Third term = 3(3) +2 = 11

b) tenth term = 3(10)+2 = 32