Does anyone know what graph is correct?

Given

find the number by determining part and whole

3/5 of a number is 6​

Procedure

The answer is 10

The population of the world in 1955 based on the model q(t) = 2.500\(e^{0.0168t}\) is 2.54 billion.

The model q(t) = 2.500\(e^{0.0168t}\) represents the world population in billions

Here, t represents the years after 1955 and e is exponential constant its value is approximately 2.718.

Here the population is growing exponentially means population is growing at faster rate.

To find the population of the world in 1955 we will take

t = 1

on putting the value of t in the given function q(t)

q(t) = 2.500e\(e^{0.0168(1)\)

on solving the function q(t) we get

q(t) ≈ 2.54

so, the population of the world in 1955 is 2.54 billion

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Answer:

3x^2-15x

Step-by-step explanation:

3x(x-5)

3x^2-15x

The 500,00th number in the sequence = 98828

A sequence is a numbered collection of objects where repeats are permitted and order is important. It has members, just like a set. The length of something like the sequence is defined as the number of items.

here n^th iteration n+3 element are listed and n element are skipped.

now before nth iteration total skipped natural number : 1+2+3+.........n-1

                                                                                           = n(n-1)/2

now after completion of nth iteration total listed natural number = 4+5+6+.....n+3

= ((n+3)(n+4)/2)-6

to find 50000th number total listed element must be greater than or equal to 50000.

((n+3)(n+4)/2)-6 ≥ 50000

(n+3)(n+4) ≥ 100012

n = 313

total skipped before 313th iteration

=( 313 * 312)/2

=  48828

total listed before 313th is 48828.

listed after 312th iteration

= ((315)(316))/2)-6

= 49764

total number remaining for 50000

= 50000 - 49764

= 236

total number passed.

skipped+ listed

= 48828 + 49764

= 98592

50000th element = 98592 + 236

                              = 98828

The 500,00th number in the sequence = 98828

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The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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Answer:

Y= -1x-1

Step-by-step explanation:

The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1

Answer:

2x - 3 = 11

Step-by-step explanation:

"difference" means subtraction, so it is subtraction.

"twice a number" simply means 2x, since you do not know what the specified number is, it is x. and the 2 and just making it twice the number.

"Is 11" just means equals 11.

so, 2x - 3 = 11.

hope this helps!

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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The Linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

The point-slope equation for a line is of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Given the point-slope equation y - 5 = 3(x - 2),

we can see that the slope of the line is 3 and it passes through the point (2, 5).

To find the linear function for the line, we need to write the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line intersects the y-axis).

To get the equation in slope-intercept form, we need to isolate y on one side of the equation.

We can do this by distributing the 3 to the x term:y - 5 = 3(x - 2)  y - 5 = 3x - 6  y = 3x - 6 + 5  y = 3x - 1

Therefore, the linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

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Answer: 3 units

Step-by-step explanation:

By the triangle proportionality theorem,

\(\frac{12}{4}=\frac{9}{x} \\ \\ 3=\frac{9}{x} \\ \\ x=\boxed{3}\)

Answer:

3 Units

Step-by-step explanation:

The solution to the given IVP is y(t) = (-2/3) * e^t.

To solve the given initial value problem (IVP) using the method of Undetermined Coefficients, we assume a particular solution of the form:

y_p(t) = A * e^t

where A is a constant to be determined.

First, let's find the derivatives of y_p(t):

y_p'(t) = A * e^t

y_p''(t) = A * e^t

Substituting these derivatives into the differential equation, we get:

y_p''(t) - y_p'(t) - 6y_p(t) = 4e^t

(A * e^t) - (A * e^t) - 6(A * e^t) = 4e^t

Simplifying this equation, we have:

-6A * e^t = 4e^t

From this equation, we can determine the value of A:

-6A = 4

A = -4/6

A = -2/3

Therefore, the particular solution is:

y_p(t) = (-2/3) * e^t

Now, we have the particular solution y_p(t) and need to find the complementary solution y_c(t) to complete the general solution.

The characteristic equation of the homogeneous equation (y'' - y' - 6y = 0) is:

r^2 - r - 6 = 0

Factoring this quadratic equation, we get:

(r - 3)(r + 2) = 0

The roots are:

r_1 = 3 and r_2 = -2

Therefore, the complementary solution is:

y_c(t) = c1 * e^(3t) + c2 * e^(-2t)

To find the values of c1 and c2, we can use the initial conditions.

y(0) = 0

y'(0) = 0

Substituting these conditions into the general solution, we have:

y(0) = c1 * e^(30) + c2 * e^(-20) = c1 + c2 = 0

y'(0) = 3c1 * e^(30) - 2c2 * e^(-20) = 3c1 - 2c2 = 0

From the first equation, we can solve for c1:

c1 = -c2

Substituting this into the second equation, we have:

3(-c2) - 2c2 = 0

Simplifying:

-c2 - 2c2 = 0

-3c2 = 0

c2 = 0

From this, we can determine c1:

c1 = -c2 = 0

Therefore, the general solution to the IVP is:

y(t) = y_c(t) + y_p(t)

= c1 * e^(3t) + c2 * e^(-2t) + (-2/3) * e^t

= 0 * e^(3t) + 0 * e^(-2t) + (-2/3) * e^t

= (-2/3) * e^t

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Answer:

Yes he did. The error is that you are supposed to add 2x to 3x to get 5x. So 5x = 10, x = 2

Step-by-step explanation:

Answer:

1:1

Step-by-step explanation:

In such a triangle, the legs are of equal length (but are shorter than the hypotenuse).  Thus, the ratio in question is 1:1.

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

The money that you make when you sell something for more than it cost you.

For given example,

profit is described by the equation :

\(P (x) = -x^2 + 10x -4\)

We need to maximize the profit P(x)

\(\Rightarrow \frac{d}{dx}P(x)=0\\\\\Rightarrow \frac{d}{dx}( -x^2 + 10x -4 ) =0\\\\\Rightarrow -2x+10=0\\\\\Rightarrow -2x=-10\\\\\Rightarrow x=5\)

since , x is the number of items made in thousand

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

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Answer:

87.5

Step-by-step explanation:

100 + 75x > 700: This inequality represents the condition where Lawrence charges clients more than $700.

Let's represent the typical number of hours worked by Lawrence as "x" (in hours). Based on the information provided, we can set up the inequality to represent the range of fees charged by Lawrence: 100 + 75x < 250 or 100 + 75x > 700. Let's explain these inequalities: 100 + 75x < 250: This inequality represents the condition where Lawrence charges clients less than $250. The initial fee of $100 plus the product of $75 per hour (75x) should be less than $250.

100 + 75x > 700: This inequality represents the condition where Lawrence charges clients more than $700. The initial fee of $100 plus the product of $75 per hour (75x) should be greater than $700. These inequalities provide the boundaries for the range of fees charged by Lawrence, based on the number of hours worked (x). The exact value of "x" that satisfies either inequality depends on the specific rates charged by Lawrence and would need further information to determine.

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Answer:

(a) See attachment 1

All points lie on the same line

(b) See attachment 2

Step-by-step explanation:

Given

\(2x + y = 10\)

Solving (a): Plot 5 points that make the equation, true

First, we calculate the points

Make y the subject

\(y = 10 - 2x\)

\(x = 0 \to y = 10 - 2* 0 = 10\)

\(x = 1 \to y = 10 - 2* 1 = 8\)

\(x = 2 \to y = 10 - 2* 2 = 6\)

\(x = 3 \to y = 10 - 2* 3 = 4\)

\(x = 4 \to y = 10 - 2* 4 = 2\)

So, we will plot the following points

\((0,10)\ (1,8)\ (2,6)\ (3,4)\ (4,2)\)

See attachment 1

Notice that all points lie on the same line

Solving (b):

Point (5,7) does not make the equation true, and that is why it lies outside the line

See attachment 2

Answer:

-20

Step-by-step explanation:

-5-5-5-5=-20

For the new random variable y = 6x - 5, where x has a mean of 15 and standard deviation of 6, the mean of y is 85 and the standard deviation of y is 36.

To find the mean and standard deviation of the new random variable y, we need to apply the appropriate transformations to the mean and standard deviation of x.

Mean of y:

The mean of y can be found by multiplying the mean of x by the constant factor (6) and subtracting another constant (5). Therefore, the mean of y is given by:

mean of y = 6 * mean of x - 5 = 6 * 15 - 5 = 85.

Standard deviation of y:

The standard deviation of y can be found by applying the same constant factor (6) to the standard deviation of x. Therefore, the standard deviation of y is given by:

standard deviation of y = 6 * standard deviation of x = 6 * 6 = 36.

Hence, the mean of y is 85 and the standard deviation of y is 36. This implies that the new random variable y, derived from x through the transformation y = 6x - 5, will have a mean of 85 and a standard deviation of 36.

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The minimum sample size required to estimate the mean weekly wage of the workers employed in the plant within plus or minus $20 with a 90% degree of confidence = 11.

To calculate the minimum sample size required to estimate the mean weekly wage of workers employed in a plant within plus or minus $20 with a 90% degree of confidence, we can use the formula for sample size determination:

n = (Z * σ / E)^2

where:

n = minimum sample size

Z = Z-score corresponding to the desired confidence level (in this case, for a 90% confidence level, Z = 1.645)

σ = standard deviation of the population

E = margin of error (in this case, $20)

The standard deviation of the weekly wages is $40 and the desired margin of error is $20, we can substitute these values into the formula:

n = (1.645 * 40 / 20)^2

Calculating this:

n = (1.645 * 2)^2

n = (3.29)^2

n = 10.8241

Since we need a whole number for the sample size, we round up to the nearest whole number:

n = 11

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Answer:

x=-9

Step-by-step explanation:

M(slope)=y2-y1/x2-x1

m=-5-5/-9+9

m= -10/0

This means the slope is undefined. Whenever the slope is undefined, the line is vertical and is passing through the x-axis and parallel to the y-axis. Take the given coordinate (-9,5) and all you do is put x= -9. That's the equation of the line.

Hello,

\(0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2} \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq 0.7071...\)

Answer: 102 degrees

Answer:

102

Step-by-step explanation

A straight line is 180, half of 360. So if you have 78, you subtract it from 180 to get 102.

Answer:

30 in total that she bought

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

got it right on edg 2021

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

The standard deviation of the sampling distribution of the sample mean is 0.1 when a machine produces bolts that have an average length of 3 inches with a variance of .03.

The positive square root of the variance is the standard deviation. One of the fundamental techniques used in statistical analysis is standard deviation. Standard deviation, also known as SD or denoted by the symbol "σ" indicates how far a value deviates from the mean value.

Here,

σx = σ/√n

= √.03/√3

= .1732/1.732

= 0.1

When a machine creates bolts with an average length of 3 inches and a variance of.03, the standard deviation of the sampling distribution of the sample mean is 0.1.

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The strength factor of the evidence you just got that you picked the special box is 4.

Given:

There are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.

Hypothesis =  The box the blue marble was picked from is the special box.

Prior confidence = 1:3 (ratio of special boxes to non special boxes )

Now P(B | S) = 1/2 (given that a box is selected from the special box, there is 1/2 chance that it is blue)

And P(B | NS) = 1/8 (given that a box is selected from a non-special box, there is 1/8 chance that it is blue)

According to  bayes factor ,we get:

P(B | S)/P(B | NS) = (1/2)/(1/8) = 4

Thus, 4.

Therefore the strength factor of the evidence you just got that you picked the special box is 4.

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The metric unit that would be best to measure the capacity of a cereal bowl is milliliters (ml).

Capacity is a measure of the amount of fluid that a container can hold. Cereal bowls are typically used to hold liquids such as milk or yogurt along with cereal. Milliliters are a commonly used metric unit of volume that would be appropriate for measuring the capacity of a cereal bowl. Other metric units of volume such as liters or cubic centimeters could also be used, but milliliters would provide a more precise measurement for a smaller container such as a cereal bowl. To measure the capacity of a cereal bowl in milliliters, one would simply pour a known amount of water into the bowl and measure the volume of the water using a measuring cup or a graduated cylinder.

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