Calculate.
9×10²
2×10²
Write your answer in scientific notation.
0
X

Answer:

−2x 2−2+2

Step-by-step explanation:

A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

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Answer:

2 1/12.

Step-by-step explanation:

To solve this you have to find the least common denominator. You know that 4 and 6 can both go into 12 so 5/6 becomes 10/12 and 3/4 becomes 9/12. So now all you have to do is subtract. 7 10/12 - 5 9/12 = 2 1/12.

I hope this helps you :D

Answer:

24/2

Step-by-step explanation:

Hope it is helpful.....

Step-by-step explanation:

You have to compare each side.

If they have the same ending, they are like terms.

1. E

2. A

3. D

4. B

5. C

Answer:

10/11

Step-by-step explanation:

The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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There are 3,125 different places to sit if they don't mind sharing s desk sometimes and there are 120 different places to sit, if they all sit on separate tables.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that there are five different tables in the class and five students

Each table can be occupied by only one student

There are 200 days of studying years.

As a small prank on their teacher students would like to sit in a new way every day, so there are no two days during their studying year such that all students are occupying the same tables.

5×4×3×2×1 = 120

There are 120 different places to sit, if they all sit on separate tables.

5×5×5×5×5 = 3,125

There are 3,125 different places to sit if they don't mind sharing s desk sometimes.

Hence, there are 120 different places to sit, if they all sit on separate tables and there are 3,125 different places to sit if they don't mind sharing s desk sometimes.

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Answer:

2. kilograms

Step-by-step explanation:

Answer:

y = -7

Step-by-step explanation:

I wrote how I did

and the steps

Answer: -7

Step-by-step explanation:

Answer:

4w^2 +4w+1

this is the product.

Step-by-step explanation:

Answer:

4w^2+4w+1 is very correct

Step-by-step explanation:

so I just wanted to explain more

so you expand the question like this

(2w+1)(2w+1) then

further expand by 2w(2w+1)+1(2w+1) so you use what was in the first bracket to multiply the second bracket

then it will be 2w×2w= 4w^2 that how I got that part so you multiply what's in the bracket by what is outside of it = 4w^2 +2w+2w+1 = 4w^2 +4w not 4w^2 because it's not multiplication +1

The graph of g(x) is on the image at the end, and the correct option for the transformation is B.

We define a horizontal dilation of scale factor k as:

g(x) = f(k*x)

if k > 1, we have a stretch.

if  0 < k < 1, we have a shink of scale factor 1/k

Here we have:

g(x) = f (5x) = 5x - 4

We can notice that k = 5, then we have a stretch, thus, the correct option is B.

The graph of function g(x) can be seen in the image at the end.,

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Answer:

14322 * 10¹²

1.4322 * 10¹⁶

Step-by-step explanation:

14322000000000000

14322 * 10¹²

1.4322 * 10¹⁶

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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Answer:

Hello

Step-by-step explanation:

2+2=22 facts lol

Answer:

what's the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

What's the question?

Answer:

5 x \(10^{6}\)

Step-by-step explanation:

2.5/5 = .5

5 x \(10^{-1}\)

\(\frac{10^{2} }{10^{-5} }\)  When the bases are the same and you are dividing, you subtract the exponents.

\(10^{2 - -5}\)  Which is the same as \(10^{7}\)

5 x \(10^{-1}\) x \(10^{7}\)   When the bases are the same and you are multiplying, you add the exponents.

5 x \(10^{6}\)

The percentage improvement in reliability when test length is doubled is 15%

R(n) = 0.25n / (0.75 + 0.25n)

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(1) = 0.25(1) / (0.75 + 0.25(1))

R(1) = 0.25 / 1

R(1) = 0.25

when test length is doubled , n = 2

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(2) = 0.25(2) / (0.75 + 0.25(2))

R(2) = 0.5 / 1.25

R(2) = 0.4

Percentage improvement can be calculated thus ;

R(2)-R(1)/R(1) × 100%

(0.4-0.25)/0.25 × 100%

0.15 × 100%

=15%

Therefore, percentage improvement in reliability is 15%

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Step-by-step explanation:

Volume = lwh

V = 23 x 24 x 8

V = 4416ft^3

Ft - Yd:

4416ft^3 = 163.5556^3 yd

(I'm not actually sure about this as I don't use the imperial system)

Answer:

m=-36

Step-by-step explanation:

(3)m/3=-12(3) multiply by three to cancel out

m=-36

hope this helps :)

Question:

m/3 = -12

Answer:

m=-36

-36/3=-12

The sky appears blue because of Rayleigh scattering while water appears blue due to selective absorption and scattering of light.

The blue color of the sky is a result of Rayleigh scattering which occurs when the Earth's atmosphere scatters shorter wavelengths of light (blue and violet) more efficiently than longer wavelengths (red and orange).

When sunlight enters the atmosphere, the blue light is scattered in all directions by the molecules and tiny particles present in the air creating the blue appearance of the sky.

Similarly, water appear blue due to selective absorption and scattering of light. Water molecules selectively absorb colors from the visible light spectrum and absorb longer wavelengths (such as red) more effectively than shorter wavelengths (such as blue).

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Answer: B

Step-by-step explanation:

I just solved it

The correct answer is . The ordered pairs (a, b) of a function are (b, a) for the inverse function.

An equation connecting y and x.​is given as y = 15/x

What is inverse variation?

In Maths, inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases

y∞1/x

This implies that y=k/x            where k is a constant

5 = k/3

Making k the subject of the relation

therefore, k = 15

The equation connecting y and x would be y = 15/x

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