The length, dm, of a rectangular field is 40m gester than the width
The perimeter of the field is 400 m.

Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

A sampling error is the result of measurement error. What is a sampling error? The sampling error is a statistical error that arises when the sample used to estimate a population parameter differs from the actual population. When researchers obtain a random sample of individuals from a population.

The correct option is-C

They will not be able to include all individuals, resulting in a sampling error. Thus, it arises due to measurement error. What is measurement error? Measurement error is the discrepancy between an observed value and the true value of a variable. The causes of measurement errors could be: Poor measuring instruments: If a scale or a thermometer isn't calibrated correctly, the results will be incorrect.

The observer's mistake: A researcher might misinterpret the data or record it wrongly. The participant's mistake: If a participant provides inaccurate responses, it might affect the outcomes. Conclusion: A sampling error is the result of measurement error. The difference of cubes can be factored as a product of a binomial and trinomial such that the difference of cubes will have a binomial difference, multiplied by a trinomial where the first term is the cube root of the first term, the second term is the product of the square of the cube root of the first term and the cube root of the second term, and the third term is the cube root of the square of the second term.

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Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

The 7 types of hazards in the home are Psychosocial  Risks,Physical

Dangers , Chemical Dangers, Biological risks, Constrained Areas,

Changing Equipment and Biohazards

Psychosocial  Risks

Physical dangers include a subgroup called psychosocial hazards. For some workers, these risks might be more severe or restrictive than for others. Poor management or a lack of feedback may be the cause of these risks.

Physical Dangers

Environmental and occupational hazards are two different categories of physical risks. These include unguarded machines, heat, cold, vibration, noise, and temperature extremes. Engineering controls can lessen some physical dangers.

Chemical Dangers

Toxic, flammable, explosive, self-reactive, oxidizing, or corrosive compounds are considered chemical dangers. Chemical risks can have negative health impacts and need special handling techniques and equipment.

Biological risks

Many workplaces have biological risks, which can be harmful to people. They include waste debris, food, fungi, food, hair, skin, and saliva.

Constrained Areas

Flammable gases can accumulate in small places. These gases tend to gravitate toward lower elevations, yet they can rise to the surface if a lid is closed or if they are hanging in the air.

Changing Equipment

For workers, the moving machinery hazard provides a distinct set of mechanical risks. Injuries caused by it include crushing, shearing, tangling, air being ejected, striking, abrading, and trapping.

Biohazards

There are many danger thresholds for biohazards. Agents of biohazard level I pose little risk to people. On the other hand, biohazard class II agents may be extremely contagious and may result in serious sickness if consumed or dispersed through the air.

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The two distances are equal, which means the points (2, -8) and (0, -8) are symmetric about the axis of symmetry x = 1, or the vertex (1, -9).

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The vertex of a parabola in standard form, f(x) = a(x - h)² + k, is at the point (h, k).

We can rewrite the given equation, f(x) = x² - 2x - 8, in standard form by completing the square:

f(x) = x² - 2x - 8

= (x² - 2x + 1) - 1 - 8

= (x - 1)² - 9

So the vertex of the parabola is at the point (1, -9), where h = 1 is the x-coordinate of the vertex, and k = -9 is the y-coordinate of the vertex.

To verify that points (2, -8) and (0, -8) are symmetric about the vertex, we can calculate the axis of symmetry, which is x = h, or x = 1 in this case.

The distance between the vertex (1, -9) and the point (2, -8) is the same as the distance between the vertex and the point (0, -8), since these points have the same y-coordinate:

d((1, -9), (2, -8)) = d((1, -9), (0, -8))

Using the distance formula, we can calculate the left-hand side:

d((1, -9), (2, -8)) = √((2 - 1)² + (-8 - (-9))²)

= √(1 + 1)

= √(2)

Using the distance formula again, we can calculate the right-hand side:

d((1, -9), (0, -8)) = √((0 - 1)² + (-8 - (-9))²)

= √(1 + 1)

= √(2)

Hence, the two distances are equal, which means the points (2, -8) and (0, -8) are symmetric about the axis of symmetry x = 1, or the vertex (1, -9).

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Answer:

1) bottom row, next to the last (4th square going across)

2) second row, first square (1st column, next to the bottom)

Step-by-step explanation:

1) bottom row, next to the last (4th square going across)

2) second row, first square (1st column, next to the bottom)

Answer:

6.48 <= x <= 7.5

Step-by-step explanation:

(5/12)×18=7.5

(10.80/30)×18=6.48

6.48 <= x <= 7.5

The answer of this question is Indian Ocean

It is the Arctic Ocean.

18% of the Indian Ocean's surface, and the size of 12% of the Atlantic Ocean.

These two oceans are the closest to the Arctic Ocean in terms of size. It depends on whose answers are listed in the table because they are both close to the 16% mark. The closest is the Indian.

Of the five major oceans in the globe, the Arctic Ocean is the smallest and shallowest. It is regarded as the coldest ocean and covers an area of roughly 14,060,000 km2 (5,430,000 sq mi). Despite some oceanographers referring to it as the Arctic Mediterranean Sea, the International Hydrographic Organization (IHO) classifies it as an ocean. Approximately, it has been compared to an estuary of the Atlantic Ocean. In addition, It's been analogized to roughly an estuary of the Atlantic Ocean.

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Answer:

  3

Step-by-step explanation:

You want the greatest of three consecutive odd integers that have a sum of 3.

The average of the integers is their sum divided by their number:

  average = 3/3 = 1

This is the value of the middle of the three integers, so they are ...

  -1, 1, 3

The greatest of the three is 3.

An equation for the number of bacteria, B, in terms of the number of hours, t, since the experiment began is \(B = 100e^{{(t/15)}}\).

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

Given, Biologists are studying a new bacterium and the number of bacteria doubles every 30 hours.

This can be modeled by the formula y = y₀.e^(kt) where y₀ is the initial number of bacteria and y is the final number of bacteria and k = 2 and t represents time in hours.

Therefore, A formula that expresses the number of bacteria, B, in terms of the experiment's duration, t, in hours.

\(B = B_0e^{kt}\).

\(B = 100e^{2\times{(t/30)}}\).

\(B = 100e^{{(t/15)}}\).

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Answer:

13.6

Step-by-step explanation:

A= Pe^ rt

A=9070   P=7300   t= .016

9070 = 7300e^0.016t

divide by 7300

1.24246575342= e^0.016t

ln(1.24246575342)= ln e^0.016t

ln(1.24246575342)= 0.016t

divide by 0.016

t = 13.6

Answer:

okay bro, but I need some time

Answer:

72

Step-by-step explanation:

.75x96=72

The linear function y = (1/2)x + 1 represents a line that passes through the points (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4). The line rises as it moves to the right and intersects the y-axis at (0, 1).

To plot the ordered pairs for the given linear function y = (1/2)x + 1, we will substitute the values from the domain D = {-8, -4, 0, 2, 6} into the equation and calculate the corresponding values for y.

Let's calculate the y-values for each x-value in the domain:

For x = -8:

y = (1/2)(-8) + 1

y = -4 + 1

y = -3

So, the ordered pair is (-8, -3).

For x = -4:

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

y = -2 + 1

y = -1

The ordered pair is (-4, -1).

For x = 0:

y = (1/2)(0) + 1

y = 0 + 1

y = 1

The ordered pair is (0, 1).

For x = 2:

y = (1/2)(2) + 1

y = 1 + 1

y = 2

The ordered pair is (2, 2).

For x = 6:

y = (1/2)(6) + 1

y = 3 + 1

y = 4

The ordered pair is (6, 4).

Now, let's plot these ordered pairs on a coordinate plane. The x-values will be plotted on the x-axis, and the corresponding y-values will be plotted on the y-axis.

The points to plot are: (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

After plotting the points, we can connect them with a straight line to represent the linear function y = (1/2)x + 1.

The graph should show a line that starts in the lower left quadrant, rises as it moves to the right, and intersects the y-axis at the point (0, 1).

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Answer:

the 4th answer : 4

Step-by-step explanation:

the easiest way to see the slope is focusing on the points with integer coordinates.

so, we see that when x increases by 4 units, y decreases by 1 unit.

as the slope is the ratio "y coordinate change / x coordinate change", it is therefore -1/+4 = -1/4.

the perpendicular slope is turning the original slope upside-down and flips the sign.

it is therefore

4/1 = 4.

Answer:

y=(-1/2)x+6

Step-by-step explanation:

Start by calculating the slope. Slope = rise/run.

In the equation y=mx+b, m is the slope. This is slope intercept form.

The formula is (y2-y1)/(x2-x1).

Pick 2 points from the graph. Let's use (0,6) and (4,4).

slope = m= (6-4)/(0-4)

slope = m = 2/-4 = -1/2

[This negative slope makes sense because this graph is decreasing - - - as x increases, y decreases.]

The graph shows us the y intercept is 6.

So the equation is y=(-1/2)x+6.

Answer:

19.5

Step-by-step explanation:

60 - 40.5 = 19.5.

The statement “there exists a function f such that f(x) < 0, f’(x) > 0, and f”(x) < 0 for all x” is false.

To understand why this statement is false, we must first understand what the symbols mean. The symbol f(x) refers to a function of x, and the symbols f’(x) and f”(x) refer to the first and second derivatives of the function, respectively.

The statement is saying that for all x, the function f(x) will be less than 0, the first derivative f’(x) will be greater than 0, and the second derivative f”(x) will be less than 0.

To show that this statement is false, we need to find an example of a function where this is not the case. Let’s consider the function f(x) = x³. At x = 0, this function is equal to 0, and so f(x) < 0 is not true. Additionally, the first derivative at x = 0 is f’(0) = 0, which is not greater than 0. Thus, the statement is false.

We can also show that this statement is false by looking at the graph of the function f(x). A function with the properties given in the statement would have a graph that looks like a “U” shape, with a minimum point at the origin. However, this is not the case for the function f(x) = x³. The graph of this function is a parabola, which does not have the desired shape.

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Answer:

Ok, the first step to see the behavior of this data is doing a graph of it,

So we can see that it looks like an reversed V. (at the bottom of the answer you can see the graph)

Then, we can model this with a piecewise function like:

For the first part we can take the two pairs:

if 11 am is our t = 0h

(0, 85) and (6, 93)

then the linear equation

y = a*t + b

a = (93 - 85)/(6 -0) = 8/6.

and b = 85.

then the linear equation is:

y = (8/6)*t + 85. for 0h ≤ t ≤ 6h

The second part of this equation can be modeled with the points

(6, 93) and (11, 84)

then we have:

y = s*t + c

s = (84 - 93)/(11 - 6) = -7/5

and we can find the value of c as:

93 = (-7/5)*6 + c

93 + (7/5)*6 = 101.4

then this second part is:

y = (-7/5)*t + 101.4 for 6  ≤ t ≤ 11h

then, in conclusion we have:

         y = (8/6)*t + 85. for 0h ≤ t ≤ 6h

f(x) =

         y = (-7/5)*t + 101.4 for 6  ≤ t ≤ 11h

Answer:

y=7.496sin(0.3243x+0.315)+73.489

Step-by-step explanation:

simply put the data into a graph and graph each equation to see if its matched

The value of the ratio x : y : z is 1/2 : /3 : 5/18

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

x:y = 1/2:1/3 and y:z = 1/5:1/6

Express the ratio properly

So, we have the following representation

x : y = 1/2 : 1/3 and y : z = 1/5 : 1/6

Multiply the ratio y : z = 1/5 : 1/6 by 5/3

So, we have

y : z = 1/3 : 5/18

So, we have

x : y : y : z = 1/2 : 1/3 : 1/3 : 5/18

Remove the repetition

This gives

x : y : z = 1/2 : /3 : 5/18

Hence, the ratio is 1/2 : /3 : 5/18

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If the a has 15 boys and 20 girls, then the boy to girls ratio in simplest form is 3 : 4

Number of boys in the class = 15 boys

Number of girls in the class = 20 girls

The ratio can be defined as the a number that can be used to express one quantity as a fraction of the other ones. That means we are comparing them by dividing those numbers

Here the ratio will be

Number of boys in the class : Number of girls in the class

Substitute the values in the ratio

= 15 : 20

Divide both numbers by 5

= (15/5) : (20/5)

= 3 : 4

Hence, if the a has 15 boys and 20 girls, then the boy to girls ratio in simplest form is 3 : 4

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The proper sequence of steps in implementing the model in Excel presented in the textbook is option b which is organize the data, represent the decision variables, represent the objective function, represent the constraints and represent the bounds on the decision variables.

Given process of implementing the model in Excel and we have to choose the correct process.

The process of implementing the model in Excel is as under:

1) Organize the data: In excel, to organize the data we have to put similar items in the same column. We have to design the data so that all rows have similar items in the same column. We have to keep a range of data separate and leave at least one blank column and one blank row between a related data range.

2) Represent the decision variables: Now we have to represent the decision variables according to which logical function performs tasks.

3)Represent the objective function: It is important because on the basis of this all the logical function perform tasks.

4) Represent the constraints: In excel when we are using solver we have to now represent the constraints of the objective function.

5) Represents the bounds on the decision variables.

Hence the proper sequence of steps in implementing the model in excel is Organize the data, represent the decision variables, represent the objective function, represent the constraints, and represent the bounds on the decision variables.

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The circumference of a circle is 360 degrees, and the number 360 is the 359th digit point of pi.

Hope that helps :)

Answer:

Step-by-step explanation:

9

The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432

The cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value.

From the question , we are given that the laptop costs $350 more than the desktop, therefore,

let x represent the cost of the laptop thus, x-350 will be the cost of the desktop .

The total finance charge of $388 is equal to 8% of the cost of the laptop and 7.5% of the cost of the desktop, we solve as;

388 = 0.08(x) + 0.075(x - 350)

252 = 0.08x + 0.075x - 26.25

278.75 = 0.155x

x = 278.75/0.155

x = 1798

Recall that the cost of desktop = x -350

therefore:

1,798- 350 = 1448

The cost of laptop = $1798

The cost of desktop = $1448

Thus, the cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.

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Answer:

∛(3b)^4

Step-by-step explanation:

Note that the square root of 36 is 6; in other words, 6^2 = 36.

So (√36)(5) = 6√5

The dimensions of the vegetable patch with the largest area we can enclose are

length = 12 feet and breadth = 6 feet.

Given, a rectangular vegetable patch.

The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot.

We have a budget of $96 for the project.

Let the length of the rectangle be, l

and breadth of the rectangle be, b

according to the ques,

4l + 8b = 96

l + 2b = 24

l = 24 - 2b

Now, area of the rectangle be,

Area = length×breadth

Area = l×b

A = (24 - 2b)b

A = 24b - 2b²

On differentiating both sides, we get

A' = 24 - 4b

b = 6

l = 24 - 12 = 12

So, the dimensions of the vegetable patch with the largest area we can enclose are

length = 12 feet and breadth = 6 feet.

Hence, The dimensions of the vegetable patch with the largest area we can enclose are

length = 12 feet and breadth = 6 feet.

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The likelihood (probability) that in 50 births, 35 or more will be female is around 0.0023.

To fathom this issue, ready to utilize the ordinary(normal) estimation of the binomial conveyance.

The cruel(mean) of binomial dissemination with parameters n and p is np, and the fluctuation is np(1-p).

Hence, for 50 births with a likelihood of 0.5 of being female, the cruel(mean) is 500.5 = 25 and the fluctuation is 500.5*(1-0.5) = 12.5.

We need to discover the probability that 35 or more births will be female. We are able to utilize the typical guess to gauge this likelihood.

We begin with standardizing the dissemination by subtracting the cruel and isolating by the standard deviation, which is the square root of the change:

z = (35 - 25) / √(12.5) = 2.828

We at that point utilize a standard ordinary dissemination table or calculator to discover the likelihood that z is more prominent than or breaks even with 2.828.

This likelihood is roughly 0.0023.

Hence, the likelihood that in 50 births, 35 or more will be female is around 0.0023.

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The simplified exponents are given as follows:

The first rational expression is given as follows:

\(\sqrt[5]{288p^7}\)

The number 288 can be simplified as follows:

\(288 = 2^5 \times 3^2\)

\(p^7\), can be simplified as \(p^7 = p^5 \times p^2\), hence the simplified expression is given as follows:

\(\sqrt[5]{2^5 \times 3^2 \times p^5 \times p^2} = 2p\sqrt[5]{9p^2}\)

(as we simplify the exponents of 5 with the power)

The second expression is given as follows:

\((216r^{9})^{\frac{1}{3}}\)

We have that 216 = 6³, hence we can apply the power of power rule to obtain the simplified expression as follows:

(the power of power rule means that we keep the base and multiply the exponents).

Hence the simplified expression is of:

\((216r^{9})^{\frac{1}{3}} = 6r^3\)

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