Help. Math Got Me Super Stumped

Answer:

0

Step-by-step explanation:

If you insist on converting 3/7 to a whole number, the best we can do is round the decimal number up or down to the nearest whole number. 3/7 rounded up to the nearest whole number is 1 and 3/7 rounded down to the nearest whole number is 0.

Answer:

sponge b00b

Step-by-step explanation:

The common region to both the graphs represents the solution set of the given inequalities.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.

Assume that you worked {x} hours Mowing lawns and {y} hours babysitting.

We can write the inequalities as -

x + y ≤ 15

3x + 5y ≥ 60

Refer to the graph attached. The common region to both the graphs represents the solution set.

Therefore, the common region to both the graphs represents the solution set of the given inequalities.

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Answer:

To find the area of the six-sided composite figure, we can divide it into two smaller shapes: a rectangle and a triangle.

The rectangle has a length of 8 meters and a width of 18 meters, so its area is:

8 meters × 18 meters = 144 square meters

The triangle has a base of 18 meters and a height of 8 meters, so its area is:

(1/2) × 18 meters × 8 meters = 72 square meters

The total area of the six-sided composite figure is the sum of the areas of the rectangle and the triangle:

144 square meters + 72 square meters = 216 square meters

Therefore, the total area of the figure is 216 m².

Option (B) 216 m²

GIVEN

Vertical line on the left is labeled 10 meters. The base is labeled 18 meters. there is a small portion from the vertical line that is parallel to the base that is labeled 5 meters. this portion leads to two segments that come to a point, and from that point, there is a height of 2 meters labeled.

TO FIND

The area of the figure.

SOLUTION

The above problem can be simply solved as follows —

The composite figure is rectangle and 2 triangles.

Length of the Rectangle = 10 meters

Width of Rectangle = 18 meters 

Area of Rectangle = Length × Breath 

                               = 10 × 18 

                               = 180 meter²

Base of Triangle = 18 meters

Height of Triangle = 2 meters 

Area of Triangle = (1/2) × base × height

                            = (1/2) × 18 × 2 

                            = (1/2) * 36

                            = 18 m²

Total number of triangles = 2

Total area of Triangles = Area of triangle * Number of Triangles

                                       = 18 * 2

                                       = 36 m²

Total area of the figure = 36 + 180 = 216 m²

Hence, The answer is 216 m².

Hope my answer helps you.

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Answer:

Domain: 1, 6

Range: 4

Step-by-step explanation:

The Domain is the first coordinate which is x

The Range is the second coordinate which is y

The domain is the set of departure of a function into constrained to fall it is the sex X in the notation f:X-Y and is denoted as dom. The range is set of data is the diffrence between largest and smallest values so The domain is 1,6 and range is 4

Answer: 20:3

Step-by-step explanation:

=) 2 cm = 20 mm

therefore, 20:3

The sample space for the probability calculation in an experiment with 8 sided die is {1,2,3,4,5,6,7,8}

As per the question statement, we are supposed to find the sample space for the probability calculation in an experiment with 8 sided die.

Before solving it, we need to know about Sample space. It is a collection of all the possible outcomes of an experiment and written in a set form.

In a 8 sided die, number of possible outcomes = 8

Outcomes can be 1, 2, 3, 4, 5, 6, 7 or 8

Therefore sample space = {1,2,3,4,5,6,7,8}

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The probability of randomly picking 3 red marbles in a row is:

P = 0.0315

If all the marbles have the same probability of being randomly selected, then the probability of selecting at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles in the bag.

There are 6red ones and (6 + 8 + 5 = 19) 19 marbles in total, then the probability is:

P = 6/19

And we want to do this thing 3 time (when we get the red marble we return it to the bag).

Then we will have the probabilities:

q = 6/19

k = 6/19

The joint probability of these 3 events is the product between the individual probabilities, we will get:

P = (6/19)*(6/19)*(6/19) = 0.0315

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When graphed, one point is on top of the other, creating a vertical line. This could either be ∞ or -∞ .

Answer:

x=-44

Step-by-step explanation:

3/4(1/4x+8)-(1/2x+2)=3/8(4-x)-1/4

3/16x+24/4-1/2x-2=12/8-3/8x-1/4

3/16x+6-1/2x-2=3/2-3/8x-1/4

3/16x-1/2x+4=3/2-3/8x-1/4

-5/16x+4=-3/8x+5/4

Add 3/8x to both sides

-5/16x+4+3/8x=-3/8x+5/4+3/8x

1/16x+4=5/4

Subtract 4 from both sides

1/16x+4-4=5/4-4

1/16x=-11/4

Multiply both sides by 16

1/16x(16)=-11/4(16)

x=-44

Answer:

-8

Step-by-step explanation:

I just took it on edge.

The correct option is d. ¼, which is the probability of the particle having a negative displacement at time t = 2 if there is Brownian movement.

In this problem, we are given a Brownian motion with X0 = 0 and X1 > 0, and we need to find the probability of X2 < 0.

We can use the properties of Brownian motion to solve this problem. Since X1 > 0, we know that the particle has moved to the right of the origin at time t = 1. Since the process has independent and stationary increments, we can assume that the particle moves from X1 to X2 in the same way as it moved from 0 to X1.

Therefore, the displacement of the particle from X1 to X2 is equivalent to the displacement of the particle from 0 to X1. Since X1 is positive, we know that the particle has a positive displacement at time t = 1.

The probability of the particle having a negative displacement at time t = 2 depends only on the variance of the Brownian motion over the time interval [1,2]. The variance of a Brownian motion over an interval of length t is proportional to t, so the variance of the displacement from X1 to X2 is twice the variance of the displacement from 0 to X1.

Therefore, the probability of X2 < 0 is given by the probability that a standard normal random variable is less than -X1/√2, since the variance of the displacement from X1 to X2 is twice the variance of the displacement from 0 to X1.

This probability can be calculated using a standard normal table or a calculator, and it is given by:

P(X2 < 0) = P(Z < -X1/√2) = 1 - Φ(X1/√2)

where Φ is the standard normal cumulative distribution function.

Substituting X1 = E[X1] = √1 = 1, we get:

P(X2 < 0) = 1 - Φ(1/√2) ≈ 0.25

Therefore, the correct option is d. ¼, which is the probability of the particle having a negative displacement at time t = 2.

Brownian motion is a stochastic process that models the random movement of particles in a fluid. It is a continuous-time process, where the change in position over a small time interval is normally distributed with mean zero and variance proportional to the length of the interval.

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Answer:

the cost is   £ 6,480

Step-by-step explanation:

given:

The perimeter of a square courtyard is 144 m

find:

the cost of cementing it at the rate of £5 per m².

Perimeter = 4 Sides

144 = 4 S

S = 144/4

S = 36

Area = S²

A = 36²

A = 1296 m²

cost of cementing the area =   1296 m² x £5 per m²  =  £ 6,480

therefore,

the cost is   £ 6,480

Answer:

No, she made mistake from step 3, going to step 4

Step-by-step explanation:

See attachment for complete expression and Tisha's steps

Required

Is she correct?

The steps up to step 3 is correct.

However, going to step 4; she made a mistake

Her expression is:

Step 3: \(90 - 2 * 3\)

The correct step is to multiply 2 by 3 (using BODMAS)

This will give:

\(90 - 6\)

\(84\)

But instead she evaluated the subtraction first, which is incorrect.

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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We have to find the probability of selecting a white ball on the second draw given that the first ball drawn was green.

We know that probability of selecting a green ball and then a white ball without replacement is 0.15, so we can write:

We also know that the probability of selecting a green ball in the first draw is 0.65:

Then, we can use this to find the conditional probability of selecting a white ball on the second draw given that the first ball drawn was green can be calculated as:

Answer: the probability is 0.231.

The analysis of variance (ANOVA) is a statistical method in a research study. The sum of squares between treatments (SSbetween) is a measure of the variability between the treatment conditions.

ANOVA breaks down the total variability in the data into different components to determine the sources of variation. SSbetween represents the variation between the treatment conditions and provides information about the differences among the means. By comparing the mean square between treatments (MSbetween) with the mean square within treatments (MSwithin), we can determine if the observed differences between the treatment conditions are statistically significant.

If SSbetween is relatively large compared to MSwithin, it suggests that the treatment conditions have a significant effect on the dependent variable. This means that the means of the treatment groups are significantly different from each other, indicating that the treatments are having an impact. On the other hand, if SSbetween is small compared to MSwithin, it suggests that the treatment conditions do not have a significant effect, and any differences observed between the treatment means may be due to random variation or chance.

In conclusion, the SSbetween in an ANOVA analysis provides valuable insights into the differences among treatment conditions in a research study. It helps determine if the observed mean differences are statistically significant, shedding light on the effectiveness or impact of different treatments.

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Answer:75,

Step-by-step explanation:

1/2 bh= A for one T 5*5=25 25*6= 150

150/2=75

OR

5*5/2=12.5

12.5*6=75

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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Answer:

The answer would be 17

Step-by-step explanation:

Answer:

i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.

I hope this helps! :)

According to a recent survey, nearly half of the respondents cited better pay as their primary reason for changing jobs.

The survey was conducted on a national level and the results indicate that a majority of people are looking to increase their earnings by switching jobs.

Other reasons are:

In conclusion, the survey clearly showed that the main reason for job changes among respondents was better pay. However, various other factors also play a role in an individual's decision to switch jobs, such as working conditions, career paths, and location.

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The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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Answer:

The value of x is 3 or 2.

Step-by-step explanation:

Given equation is 2^(x-2) + 2^(3-x) = 3

On applying exponents rule a^(x-y) = a^x÷a^y

Where, a = 2, x = x and y = -2

So, using this, we get

⇛{(2^x/2²) + (2³/2^x)} = 3

⇛{(2^x/2*2) + {(2*2*2)/2^x}] = 3

⇛[(2^x)/4} + {(4*2)/2^x}] = 3

⇛[(2^x)/4} + {8/(2^x)}] = 3

Let assume that 2^x = y

So, above equation can be rewritten as

⇛{(y/4) + (8/y)} = 3

⇛{(y²+32)/4y} = 3

⇛{(y²+32)/4y} = (3/1)

On applying cross multiplication then

⇛1(y²+32) = 3(4y)

Multipy the number outside of the brackets with numbers and variables on the brackets on both LHS and RHS.

⇛y²+32 = 12y

⇛y²-12y + 32 = 0

By splitting the middle term, we get

⇛y² - 8y - 4y + 32 = 0

⇛y(y-8) - 4(y-8) = 0

⇛(y-8)(y-4) = 0

➝ y = 8 or y = 4

➝ 2^x = 8 or 2^x = 4

➝ 2^x = 2³ or 2^x = 2²

Therefore, x = 3 or x = 2

Answer: The value of x is 3 or 2.

VERIFICATION:

•If x = 3 the equation is

2^(x-2) + 2^(3-x) = 3

Substitute the value of x = 3 in equation

⇛2^(3-2) + 2^(3-3) = 3

⇛2¹ + 2⁰ = 3

⇛2 + 1 = 3

⇛3 = 3

LHS = RHS

•If x = 2 then the equation is

2^(x-2) + 2^(3-x) = 3

Substitute the value of x = 2 in equation

⇛2^(2-2) + 2^(3-2) = 3

⇛2^0 + 2^1 = 3

⇛1 + 2 = 3

⇛3 = 3

LHS = RHS

Hence, verified.

Please let me know if you have any other questions.

The rate of change of the divers elevation = 19.274

Given,

The depth to which the Scuba dove = -69 \(\frac{9}{10}\) feet

The rate at which he dove = -21.5 feet per min.

The time which he spent at the elevation = 12.5min.

The elevation the diver then ascended to -38 \(\frac{9}{10}\) feet

Thee total time for the dove = 19 \(\frac{1}{8}\) minutes.

Therefore, the time \(t_{d}\) with which the scuba diver descended to -69 \(\frac{9}{10}\) feet

is given as follows:
\(t_{d} = \frac{Distance}{speed}\) = \(= \frac{-69\frac{9}{10} }{-21.5}= \frac{-681}{-21.5}\) = 3.167 minutes

The time \(t_{e}\), it took the scuba diver to elevate to -38 \(\frac{9}{10}\) feet is given as follows:

\(t_{e}\) = 19 \(\frac{1}{8}\)minutes - (3.167 + 10.5) minutes = 5.458 minutes

The rate of change of the divers elevation = (Final elevation - Initial elevation)/(Time taken).

∴ The rate of change of the divers elevation

= (-38 \(\frac{9}{10}\) - (-69 \(\frac{9}{10}\) )) / 5.458 min

=(37.1 - (-68.1))/ 5.458 min

= 19.274 feet/minutes to the nearest hundredth.

Hence, The rate of change of the divers elevation = 19.274

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Answer:

  14

Step-by-step explanation:

The triangle inequality is usually expressed as ...

  a +b > c

for any permutation of a, b, c.

Here, that would mean ...

  1 + 14 > c

  c < 15

The largest whole-number value that the third side (c) can have is 14.

_____

Additional comments

Some authors write the triangle inequality as ...

  a +b ≥ c

If you use that version, the longest side could be 15. Such a "triangle" would look like a line segment, and have zero area.

__

We can also check the shortest length:

  c +1 > 14

  c > 13

The smallest whole-number value for the shortest side is also 14. That is, the only triangle with whole-number side lengths of 1 and 14 will be an isosceles triangle with two sides of length 14.