what is the greatest whole number that rounds to 2000 when rounded to the nearest hundred

Answer:

f rxddx6fxyfxtxd5dx5xdc5rcf5cf55fccf5ctfctd5dx5dxx5rx5tex5erx7gx

ygyvuhUhws

Step-by-step explanation:

6x + 2y = -8

-6x -6x

2y = -6x - 8

y = (-6/2)x - 8/2

y = -3x -4

The equation to represent the given situation is \(500(2)^x=16000\) after 5 hours. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a bacteria has an initial population of 500 and is doubling every hour.

Let x be the number of hour bacteria population to reach 16,000

The bacteria reaches a population of 16,000 bacteria.

So, the equation is \(500(2)^x=16000\)

⇒ \(2^x\)=16000/500

⇒ \(2^x\)=160/5

⇒ \(2^x=2^5\)

⇒ x=5

Therefore, after 5 hours the bacteria population reaches 16,000.

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Step-by-step explanation:

perp. 1/2

y - 2 = 1/2(x + 4)

y-2 = 1/2x+2

y=1/2x+4

The slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

The slope of a line can be defined a number that describes the direction and steepness of the line.

It is also known as gradient

It is denoted by the letter 'm'

Thus, the slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

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The result of the lines after the translation is given as follows:

They do not intersect.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The vector notation is given as follows:

(g,h).

The meaning is given as follows:

The vector for this problem is given as follows:

(2,1).

Meaning that the lines are shifted 2 units right and one unit down.

Both lines, that do not intersect, are translated, hence the lines continue not intersecting.

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Answer:

$65m + 125 = 1165

Step-by-step explanation:

Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

Answer:

d

Step-by-step explanation:

=1000

10^3 is 1000

The projection of the point (4,4) onto the line passing through (3,1) is the point on the line that is closest to (4,4). To find this projection, we need to first find the direction vector of the line, which is (3-1, 1-0) = (2,1).

Next, we need to find the vector from the point (3,1) to the point (4,4), which is (4-3, 4-1) = (1,3).

Then, we can use the formula for projecting a vector onto another vector:

proj_v u = ((u · v) / (v · v)) v

where u is the vector we want to project, v is the vector we want to project onto, and · denotes the dot product.

Applying this formula, we get:

proj_v u = ((1,3) · (2,1)) / ((2,1) · (2,1)) (2,1)

= (5/5) (2,1)

= (2,1)

So the projection of (4,4) onto the line passing through (3,1) is the point (3,1) + (2,1) = (5,2).

To find the projection of vector (4, 4) onto vector (3, 1), you can follow these steps:

Step 1: Calculate the dot product of the two vectors.
Dot product = (4 * 3) + (4 * 1) = 12 + 4 = 16

Step 2: Calculate the magnitude squared of the vector you are projecting onto (3, 1).
Magnitude squared = (3 * 3) + (1 * 1) = 9 + 1 = 10

Step 3: Divide the dot product by the magnitude squared.
Scalar = 16 / 10 = 1.6

Step 4: Multiply the scalar by the vector you are projecting onto (3, 1) to find the projection.
Projection = 1.6 * (3, 1) = (4.8, 1.6)

So, the projection of (4, 4) onto (3, 1) is (4.8, 1.6).

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Answer:

its 10.08

Step-by-step explanation:

The hair color of the players on a tennis team would be considered nominal data. Therefore, the most appropriate answer is option (c): Nominal data.

In data classification, there are four main levels of measurement: nominal, ordinal, interval, and ratio. Nominal data is the lowest level of measurement and represents categories or labels that cannot be ranked or ordered. Hair color falls into this category as it represents different categories or labels such as blonde, brunette, red, etc. Nominal data does not have any inherent numerical value or order.

On the other hand, ordinal data represents categories that can be ordered or ranked but do not have a consistent interval between them. Interval and ratio data involve numerical values with a consistent interval and a true zero point, with ratio data having a meaningful zero point.

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Answer:

300,000.

Step-by-step explanation:

6x10^-3 /  2x10^-8

= 3 x (10^(-3- (-8))

= 3 x 10^5

= 300,000

Answer:

x = 5

Step-by-step explanation:

combine the like terms :)

Answer:

3 slices

Step-by-step explanation:

37.5% = 0.375

We take

8 times 0.375 = 3 slices

So, 3 slices of pie remain after dinner.

Answer:

x=-1

Step-by-step explanation:

Combining like terms

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

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Answer: A.

Step-by-step explanation: 0.4 is 40 so 40 is greater than 35 :)

Answer: The answer is the first one

Step-by-step explanation:

0.35 is equal to 35/100 or 35% and 0.4 is equal to 40/100 or 40%

She thought is was 0.35 is equal to 35% and 0.4 is equal to 4%

So it is the first answer

Sure, here is the solution in two parts:

**Summary:**

The correct answer is **b) a dependent means t-test**. This is because the sleep disorder specialist is comparing the same patients' sleep data with and without the new drug. Therefore, the data is dependent, and a dependent means t-test is the appropriate test to use.

**Explanation:**

A dependent means t-test is used to compare the means of two groups when the data is dependent. Dependent data is data that comes from the same subjects, but where the subjects have been exposed to different conditions. In this case, the sleep disorder specialist is comparing the same patients' sleep data with and without the new drug. Therefore, the data is dependent, and a dependent means t-test is the appropriate test to use.

The dependent means t-test is a parametric test, which means that it assumes that the data is normally distributed. To check for normality, the sleep disorder specialist can use a Shapiro-Wilk test. If the data is not normally distributed, the sleep disorder specialist can use a non-parametric test, such as the Wilcoxon signed-rank test.

The sleep disorder specialist can use the results of the t-test to determine whether there is a significant difference in the mean number of hours of sleep between the two groups. If the p-value is less than 0.05, then the sleep disorder specialist can reject the null hypothesis and conclude that there is a significant difference in the mean number of hours of sleep between the two groups. This would mean that the new drug is effective in increasing the average number of hours of sleep patients get during the night.

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The height οf the step is apprοximately 3.106 feet. Thus, οptiοn A is cοrrect.

Trigοnοmetry is a branch οf mathematics that deals with the relatiοnships between the sides and angles οf triangles.

Tο determine the height οf the step, we need tο use trigοnοmetry. Let's assume that the height οf the step is h feet.

Since the ramp is elevated at an angle οf 15 degrees, we knοw that the sine οf this angle is equal tο the οppοsite side (h) divided by the hypοtenuse (12 feet).

sin(15) = h/12

Tο sοlve fοr h, we can multiply bοth sides by 12:

12 * sin(15) = h

Using a calculatοr, we can apprοximate sin(15) tο be 0.2588. Therefοre:

h ≈ 12 * 0.2588

h ≈ 3.106 feet

Hence, the height οf the step is apprοximately 3.106 feet.

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Complete question:

A 12-foot ramp to be elevated at an angle measuring 15 degrees to be level with a step. Approximately how far from the step should the ramp start?

Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

Answer:

35 ×x =7

100

35x=7

100

35x=700

35 35

x = 20.

Answer:f

Step-by-step explanation:

its not that hard

The function is concave up for  x < 1 and concave down for x > 1 because the second derivative is positive for x < 1 and negative for x > 1. As a result, the critical point at x  < 1 is a relative maximum.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is common to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The derivative of the function f(x) can be found by taking the derivative of the expression e^(-x) (x^2 + 2x) using the product rule:

f'(x) = -e^(-x) (x^2 + 2x) + e^(-x) (2x + 2) = 2e^(-x) - 2xe^(-x) (x + 1)

Setting f'(x) equal to zero and solving for x gives us the critical points:

0 = 2e^(-x) - 2xe^(-x).(x + 1)

2xe^(-x).(x + 1) = 2e^(-x)

x(x + 1) = e^x

x^2 + x - e^x = 0

Next, we determine the concavity of the function at the critical points by analyzing the second derivative of the function:

f''(x) = 2e^(-x) + 2xe^(-x) + 2xe^(-x).(x + 1) - 2e^(-x).(x + 1)

= 2e^(-x).(1 - x)

Since the second derivative is positive for x < 1 and negative for x > 1, the function is concave up for x < 1 and concave down for x > 1. Thus, the critical point at x < 1 corresponds to a relative maximum.

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Answer: Bruce can predict the value of his investment account to be $49,800 after 3 decades

Step-by-step explanation:

If the value of the investment account doubles every decade, then after one decade (10 years), it will be worth $6,225 x 2 = $12,450.

After two decades (20 years) it will be worth $12,450 x 2 = $24,900.

Finally, after three decades (30 years), it will be worth $24,900 x 2 = $49,800.

Therefore, Bruce can predict the value of his investment account to be $49,800 after 3 decades if he makes no other deposits or withdrawals.

The calculated value of the area of this figure is 30 sq units

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

The composite figure

The area is the sum of the individual areas

Using the above and the area formulas as a guide, we have the following:

Area = 1/2 * (3 + 5) * 2 + 1/2 * (3 + 8) * 4

Evaluate

Area = 30

Hence, the area is 30 sq units

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X = -80538738812075974, Y = 80435758145817515,

and Z = 12602123297335631 are the values of  x,y,z of whole numbers.

What in mathematics is a whole number?

Complete numbers the sum of all natural numbers plus zero. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. a negative number, zero, or a counting number.

                            Natural numbers with a starting value of 1 and higher are considered whole numbers. Let's examine a few instances of entire numbers. The alphabet "W" stands for the collection of whole numbers. W = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,.…}

x3+y3+z3=k, with k being all the numbers from one to 100

X = -80538738812075974,

Y = 80435758145817515,

and Z = 12602123297335631

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Answer:

the answer is -23 OR -23/12

Step-by-step explanation:

Answer:

C. five samples.

Step-by-step explanation: