What is the value of the exponential expression below?
16²
OA. 6
OB. 2
OC. 4
D. 8

x= .73

ggggggggggggg

Using 500ml of squash, the water that Ben will need is 2000ml.

If he halved the amount of squash, the water that he would need is 1000ml.

The people who use public transport are 18.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

From the information, the instructions on the bottle state that the squash should be mixed with water in a 1:4 ratio. The water needed will be:

= 4 × 500ml

= 2000ml

If he halved the amount of squash, this will be:

= 1/2 × 2000

= 1000ml

Those who use public transport will be:

= 2/3 × 27

= 18

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Answer:

Step-by-step explanation:

11.1

The approximate value of y - x is 17.2°.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Given a right triangle LMN.

Using the tangent function,

tan (y) = 19.1 / 14.1

          = 1.3546

y = tan⁻¹ (1.3546) = 53.56°

We know that,

x + y = 90°, since the other angle is 90°.

x = 90 - 53.56° = 36.44°

y - x = 53.56° - 36.44° = 17.12° ≈ 17.2°

Hence the value of y - x is 17.2°.

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Possible causal reasons for the correlation between time spent playing video games and aggression are:

1. Video games cause aggression: This suggests that playing violent video games leads to aggressive behavior. To study this causal hypothesis, one possible approach would be to randomly assign participants to play either a violent or non-violent video game for a certain amount of time and then measure their level of aggression using a standardized aggression scale. This could be repeated with different samples to increase the reliability of the results.

2. Aggressive individuals seek out violent video games: This suggests that individuals who are already predisposed to aggression are more likely to choose to play violent video games. To test this hypothesis, researchers could administer an aggression scale to participants before asking them to report how often they play video games, and what types of games they prefer. The correlation between aggression scores and the amount of time spent playing violent video games would then be calculated.

3. A third variable is responsible for the relationship: This suggests that there is a third variable that causes both increased video game play and aggression. For example, this third variable could be stress levels, which may increase the likelihood of both playing video games and displaying aggressive behavior. To study this hypothesis, researchers could measure stress levels in participants and then ask them to report how often they play video games and their level of aggression. The correlation between stress levels and both video game play and aggression could then be calculated.

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Answer: simplified expression is 2√3.

Step-by-step explanation:

√363 = √(121 × 3) = √121 × √3 = 11√3

√27 = √(9 × 3) = √9 × √3 = 3√3

√363 − 3√27 = 11√3 − 3(3√3) = 11√3 − 9√3 = 2√3

The simplified form of the given radical expression is 2√3.

Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.

The given expression is √363 − 3√27.

Here, √121×3 − 3√9×3

= 11√3-9√3

= 2√3

Therefore, the simplified form of the given radical expression is 2√3.

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The calculated value of the tenth term, b₁₀ of the sequence is 78732

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

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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Answer:

The answer to this question is 16 (blocks or however you call them).

How to Find the Percentage:

To find the percentage of anything, just change the percentage number into a decimal. Here is an example.

Find 35% of 132.

Step 1: Change the percent (35%) into a decimal. // To do that, just put the percent sign two numbers to the left and change the percent sign to a decimal sign. (e.g. 35% turns into .35)

Step 2: Multiple your decimal and the other number together. // Just multiply them to get your answer. (e.g. .35 x 132 = ???)

.35 x 132 = 46.2

So, 35% of 132 is 46.2.

I hope this helped you understand! :)

Answer:

The graph

Step-by-step explanation:

The graph has a slope of 2 while the table has a slope of 1.

2-1/6/5=1/1=1

2>1

Answer:

24

Step-by-step explanation:

360 degrees, so 2+6+5+2=15

360/15=24

n=24

Answer:

5-hour reunion at Picnic Place will cost $250.

5-hour reunion at Total Tent will cost $350.

15 hours for both choices to cost the same.

Explanation:

Let x represent the number of hours.

Let y represent the total cost.

For Picnic Place, our equation can be written as;

For a 5-hour reunion at Picnic Place, the charge will be;

For Total Tent, our equation can be written as;

For a 5-hour reunion, the cost will be;

To determine how many hours onwill need to reserve both shelters for both choices to cost the same, we just need to equate both equations and solve for x;

The distance between the height of the platform and the depth below water is 47ft . The concept of depth describes how far something extends.

A deep area in a body of water is what the word "DEPTH" means.

Ocean depth is most frequently and quickly measured using sound. Sonar, which stands for sound navigation and range, is a technique that allows ships to map the topography of the ocean below. The instrument uses sound waves to send to the ocean's bottom and time how long it takes for an echo to come back.

Water depth is the distance in feet between the ocean's surface and bottom, as determined by mean lower low water.

Use the following formula for measuring ocean depth.

D = V Times 1/2 T D

Depth (in meters) T= Time (in seconds) V = 1507 m/s (speed of sound in water)

In the question we have,

Platform to surface of water = 33ft

Platform to depth below water = 33+14 = 47ft

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the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

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Answer:

6

Step-by-step explanation:

The vector ū = as a linear combination is ū = [7 3] + J[-2 1]

To find the coefficients for the linear combination of x and y, we need to solve the system of equations: a[6 -1] + b[-5 4] = [u1 u2]

where a and b are the coefficients we want to find. Writing out the system of equations explicitly, we have:

6a - 5b = u1

a + 4b = u2

Solving this system gives:

a = (u1 + 2u2)/17

b = (3u1 - u2)/17

Substituting these coefficients into the linear combination, we get:

ū = [(u1 + 2u2)/17][6 -1] + [(3u1 - u2)/17][-5 4]

= [(6u1 + 3u2 - 2u1 + u2)/17][6 -1] + [(-5u1 + 4u2 + 15u1 - 3u2)/17][-5 4]

= [(4u1 + 4u2)/17][6 -1] + [(10u1 + u2)/17][-5 4]

= [7u1/17 + 2u2/17][6 -1] + [-2u1/17 + u2/17][-5 4]

= [7 3] + J[-2 1]

Therefore, the vector ū can be expressed as ū = [7 3] + J[-2 1].


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Answer:

4. is correct.

Step-by-step explanation:

Answer:

The answer is x=9 :)

Answer:

x=29.9

Step-by-step explanation:

x=29.9

Answer:

Step-by-step explanation:

Compare the relevant values of functions. They are given in the table for function g(x) and on the graph for function f(x).

Answer:

g(1) > f(1)

Step-by-step explanation:

Based on the graph :

The statement is :

Answer:

D

Step-by-step explanation:

Notice how it goes down one unit and right one unit. Thats how you get the slope (-x) and then then the +9 is the intercept of the y-axis which you can see is where the graph is starting here.

Answer:

5ft and 2ft

Step-by-step explanation:

Area = bh or lw

Perimeter = 2(l) + 2(w)

Find factors of 10: 1, 2, 5, 10

1 and 10 is not right because Perimeter would be too big and not equal 14)

2(5) + 2(2) = 10+ 4 = 14 (Perimeter Matches)  

Answer: =-10b

Step-by-step explanation:

Let's simplify step-by-step.

−4b−9b+3b

=−4b+−9b+3b

Combine Like Terms:

=−4b+−9b+3b

=(−4b+−9b+3b)

=−10b

Answer:

=−10b

Answer:

-10b

Step-by-step explanation:

-4b-9b+3b

-13b+3b

-10b

Subtraction property of equality

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

Reason:

We subtract 18 from both sides to go from 4x+18 = 78 to 4x = 60

So we use the aptly named subtraction property of equality.

In general that rule is if a = b, then a-c = b-c

Answer:

6

Step-by-step explanation:

y=2x+4

y=2(1)+4

y=2+4

y=6

Answer:

Simplfy 823543000000

Exponential form 8.23543 × 10^11

Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, then

y = 2x + c ← is the partial equation

To find c substitute (3, - 6) into the partial equation

- 6 = 6 + c ⇒ c = - 6 - 6 = - 12

y = 2x - 12 ← equation of line

Answer:

y=2x-12

Step-by-step explanation:

slope=m=y-(-6)/x-3

2=y+6/x-3

y+6=2(x-3)

y=2x-12

I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

Answer:

\(y {}^{2} - 11y + 30 \\ y {}^{2} - 5y - 6y + 30 \\ (y {}^{2} - 5y) - (6y + 30) \\ y(y - 5) - 6(y - 5) \\ (y - 6)(y - 5)\)

Answer:

\(→ {y}^{2} - 11y + 30 \\ = {y}^{2} - 5y - 6y + 30 \\ = y(y - 5) - 6(y - 5) \\ = \boxed{(y - 5)(y - 6)}✓\)

The total charge on the rod is approximately 12.6424nC, or 2.0nC considering the correct significant figures.

To find the total charge on the rod, we need to integrate the charge density function over the length of the rod. Given that the charge density is non-uniform and varies with position along the rod, we can express the charge density as a function of x, where x is the distance from the left end of the rod.

The charge density function is given as λ(x) = (2.0nC/cm) * e^(-x/10).

To find the total charge, we integrate the charge density function from x = 0 to x = 10 cm:

Q = ∫(0 to 10) λ(x) dx.

Substituting the given charge density function into the integral, we have:

Q = ∫(0 to 10) (2.0nC/cm) * e^(-x/10) dx.

Integrating this expression gives us:

Q = -20nC * [e^(-x/10)] evaluated from 0 to 10.

Evaluating the expression at x = 10 and subtracting the value at x = 0, we get:

Q = -20nC * (e^(-10/10) - e^(0/10)).

Simplifying further:

Q = -20nC * (e^(-1) - 1).

Using the value of e (approximately 2.71828), we can calculate:

Q = -20nC * (2.71828^(-1) - 1).

Q ≈ -20nC * (0.36788 - 1).

Q ≈ -20nC * (-0.63212).

Q ≈ 12.6424nC.

Taking the absolute value of the charge (since charge cannot be negative), we find:

Q ≈ |12.6424nC|.

Therefore, the total charge on the rod is approximately 12.6424nC, or 2.0nC considering the correct significant figures.

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PROBLEMS. Write your answer in the space provided or on a separate sheet of paper. Show all work, and don't forget units! Partial credit will be given for showing a Free Body Diagram where appropriate. 11) A 10 cm long rod has a non-uniform charge density given by λ(x)=(2.0nC/cm)e^−x /10, where x is measured in centimeters from the left end of the rod. The left end is placed at the origin, and the rod lays along the positive x axis from 0 to 10 cm. a) What is the total charge on the rod?

hm, well I cant write a story FOR you, but I can give ya some ideas! I suggest going a more comedic route, something over dramatic to fit the fact you have to write a story about math symbols haha. maybe a forbidden love story between them. maybe personify the symbols in your writing, making them more human. or go full crazy and make them walking talking symbols. maybe they're doodles on a white board, making an epic adventure through the scribbles! dont over think creative prompts like this, just have fun and be creative! happy writing ♡