express in exponential form 200×75​

The correct answers is (a). False (b). False (c). False (d).True

(A). False

If Mrs. Smith and Mr. Smith drive 80 miles each, then the total miles they drive is 80 + 80 = 160 miles. That means James will have to drive 240 - 160 = 80 miles, which is 1/3 of the round-trip distance, not 13/3.

(B). False

If Mrs. Smith and Mr. Smith drive 90 miles each, then the total miles they drive is 90 + 90 = 180 miles. That means James will have to drive 240 - 180 = 60 miles, which is \((\frac{1}{4})\) of the round-trip distance, not \(\frac{12}{4}\).

(C). False

If Mrs. Smith drives 90 miles and Mr. Smith drives 50 miles, then the total miles they drive is 90 + 50 = 140 miles. That means James will have to drive 240 - 140 = 100 miles, which is \((\frac{1}{2} )\) of the round-trip distance, not \((\frac{5}{12} )\).

(D). True

If Mrs. Smith drives 60 miles and Mr. Smith drives 120 miles, then the total miles they drive is 60 + 120 = 180 miles. That means James will have to drive 240 - 180 = 60 miles, which is \((\frac{7}{12} )\) of the round-trip distance.

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Answer:

Your answer should be: TRUE FALSE TRUE FALSE

Answer:

23.63

Step-by-step explanation:

First you want to start with PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition and Subtraction)

Since we have parentheses we will start with those

\(4.5 * 10 = 45\\4.2 *10 =42\\8 *10= 80\)

for the decimals whenever you multiply a decimal by 10 you move the period one over to the right

now our equation looks something like this:

45 * 42 ÷ 80

for multiplication and division it doesn't matter which comes first as long as its in the order of the equation

\(45 * 42 = 1890\)

now we divide that by 80

1890 ÷ 80= 23.625

so then we rounded the 2 to 3 because if the number to the right is ≥ (greater than or equal to) 5 we round up, therefore having:

23.63

The gender of the manatees could be an important variable when studying manatees. Gender is an a. categorical variable.

An example of a categorical variable is one that divides data into categories. Here, the categorical variable represents a particular gender while studying manatees. Rather than using numerical values, categorical variables are typically expressed by labels or terms like owns or rents. Researchers may more readily identify and analyse data by employing categorical variables. Thus, a categorical variable here is gender.

Variables that typically fall into separate categories or groups are known as categorical variables, and they cannot be quantified on a continuous scale. Gender is a categorical variable in study of manatees because it may be categorised into distinct groups, such as male or female, without the need of quantitative measures.

Complete Question:

Gender of the manatees could be an important variable when studying manatees. what type of variable is gender?

a. Categorical

B. Quantitative

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The length of side DE is 3cm

Since the line AC is equivalent to DE, hence AC = DE

To get the length of DE, we will need to get the length oF AC using the Pythagoras theorem:

Given the following parameters

Hypotenuse = 5

Opposite = 4

Required

Adjacent side

Substitute the given parameters into the formula of Pythagoras theorem.

AC² = 5² - 4²

AC² = 25 - 16

AC² = 9

AC = 3

Hence the length of side DE is 3cm

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The value of x , given the angle and the lines drawn , would be 142 degrees .

The fact that a straight line was drawn such that x degrees and 38 degrees make up the angles of that line , means that the total angular measure would be 180 degrees because this is the angle of a straight line.

This therefore means that to find the value of x, the formula would be :

x = 180 - 38

x  = 180 - 38

x = 142 degrees

In conclusion, the value of x would be 142 degrees.

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The value of x is 3 in the given proportion 8/2 =( x+3)/4

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given proportion is

8/2 =( x+3)/4

Eight by two equal to x plus three divided by four.

8/2 =( x+3)/4

Apply cross multiplication

4×8=2(x+3)

32=2(x+3)

Divide both sides by 2

16=x+3

Subtract 3 from both sides

13=x

Hence the value of x is 3 in the given proportion 8/2 =( x+3)/4

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The quotient of 874 and 23 is 38.

To get the quotient of 874 and 23 using an area model, create a rectangle with an area of 874 and divide it into 23 equal parts.

Each part would depict the value of one of the 23 groups that 874 is divided into. Then count how many of these equal parts fit into the rectangle and this would give the answer to the division problem.

The rectangle can be divided into 23 equal parts horizontally, and then count how many of these parts fit into the rectangle vertically. Start with one part and see how many times we can fit it into the rectangle vertically before reaching a total of 874.

874 ÷ 23 = ( 1 x 23) + ( 7 x 23)

874 ÷ 23 = 23 + 161

874 ÷ 23 = 38

So the quotient of 874 and 23 is 38.

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Answer:

-2/3

Step-by-step explanation:

We have two points ( 0,3) and ( 3,1)

We can use the slope formula

m = (y2-y1)/(x2-x1)

  = (1-3) /(3-0)

   = -2/3

Answer:

-2/3

Step-by-step explanation:

Two points are given on the graph:

(0, 3) and (3, 1)

Use slope formula.

m = rise/run

m = (y₂ - y₁)/(x₂ - x₁)

x₁ = 0

y₁ = 3

x₂ = 3

y₂ = 1

m = (1 - 3)/(3 - 0)

m = -2/3

The slope of the line is -2/3.

A parametrization for the line segment with endpoints (-4,5) and (-9,-10) is given by x = -4 - 5t and y = 5 - 15t, where 0 ≤ t ≤ 1.

To find a parametrization for the given line segment with endpoints (-4,5) and (-9,-10), we can use the parametric form of the equation of a straight line, which is given by x = x1 + t(x2 - x1) and y = y1 + t(y2 - y1), where (x1,y1) and (x2,y2) are the endpoints of the line segment and t is a parameter that varies from 0 to 1.

Taking (x1,y1) = (-4,5) and (x2,y2) = (-9,-10), we get the following parametric equations for the line segment:

x = -4 + t(-9 - (-4)) = -4 - 5t

y = 5 + t(-10 - 5) = 5 - 15t

The parameter t varies from 0 to 1, so as t ranges from 0 to 1, the point (x,y) traces out the line segment joining the points (-4,5) and (-9,-10).

Therefore, a parametrization for the line segment with endpoints (-4,5) and (-9,-10) is given by x = -4 - 5t and y = 5 - 15t, where 0 ≤ t ≤ 1.

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Answer:

The slope would be 1.

Step-by-step explanation:

The slope would be one becuase the equation would be y=1x+5.

Answer:

the equation would be y=x+5

so the slope is 1

Step-by-step explanation:

Answer:

0.00238415%

I hope this helps!

Answer:

x=25

Step-by-step explanation:

4x-13=12-x

4x+x=12+13

5x=25

x=25

Answer:

There are 315 salmon and 135 fish that aren't salmon.

Step-by-step explanation:

The number of salmon in the aquarium would be 70% of the 450 fish, so to find the number you multiply .7 by 450:

450 × .7 = 315

So, there are 315 salmon. To find how many fish are not salmon, you would subtract 315 from 450:

450 - 315 = 135

So, 135 of the fish are not salmon.

The correct answer is B. 0:00. the blue marker in her sequencer should be read as  "0:00" if it is at the beginning of her video.

What is a video editor?

A video editor is a software application used to edit video footage and create video productions. It allows users to manipulate and arrange video clips, add effects and transitions, adjust colors and sound, and export the final product in various formats for playback on different devices. Video editors are commonly used in film and television production, marketing and advertising, social media, and personal projects.

In Blender's sequencer, the blue marker represents the current frame being viewed. When the blue marker is at the beginning of the video, it should read "0:00" to indicate that it is at the start of the video, with 0 minutes and 0 seconds elapsed. Option A ("00") and Option C ("0+00") do not include the colon required to separate the minutes and seconds, and Option D ("+0") only includes the minutes elapsed without indicating the seconds.

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To find the value of k for which the matrix A has one eigenvalue of multiplicity 2, we can use the characteristic equation of the matrix. The characteristic equation is det(A-λI)=0. For a given matrix, this equation will yield a polynomial equation of degree equal to the dimension of the matrix.

In this case, the equation is (λ+4)(λ-2) = 0. Solving this equation gives us two distinct eigenvalues of λ= -4 and λ=2. This means that for any value of k, the matrix A will have two distinct eigenvalues, and thus cannot have one eigenvalue of multiplicity 2. Therefore, the matrix A cannot have one eigenvalue of multiplicity 2 no matter what value of k is used.

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The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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The solution of the given boundary-value problem using Laplace Transform is u(x, t) = 2(e^(-7t) cos 7x + e^(-37t) cos 37x).

The given boundary value problem is ²u d²u. = 00 əx² őt ² u(0, t) = 0, u(1, t) = 0, t> 0 ди u(x, 0) = 0,

= 2 sin 7x + 4 sin 37x. at=0.

We are to solve the boundary-value problem using Laplace Transform.

Laplace transform of u with respect to t is given by:

L{u(x, t)} = ∫e^-st u(x, t) dt

Using Laplace transform for the given boundary value problem

L{∂²u/∂x²} - L{∂²u/∂t²} = 0or L{∂²u/∂x²} - s²L{u(x, t)} + s(∂u/∂x)|t=0+ L{∂²u/∂t²} = 0.... (1)

Using Laplace transform for u(x, 0) = 0L{u(x, 0)} = ∫e^-s(0) u(x, 0) dx = 0=> L{u(x, 0)} = 0.... (2)

Using Laplace transform for

u(0, t) = 0 and u(1, t) = 0L{u(0, t)} = u(0, 0) + s∫u(x, t)dx|0 to 1

=> L{u(0, t)} = s∫u(x, t)dx|0 to 1= 0.... (3)

L{u(1, t)} = u(1, 0) + s∫u(x, t)dx|0 to 1

=> L{u(1, t)} = s∫u(x, t)dx|0 to 1= 0.... (4)

Using Laplace transform for

u(x, t) = 2 sin 7x + 4 sin 37x at t=0

L{u(x, t=0)} = 2L{sin 7x} + 4L{sin 37x}= 2 x 7/(s²+7²) + 4 x 37/(s²+37²) = 14s/(s²+7²) + 148s/(s²+37²) = s(14/(s²+7²) + 148/(s²+37²))

Simplifying we get,

L{u(x, t=0)} = (14s³ + 148s³ + 1036s)/(s²+7²)(s²+37²) = 1184s³/(s²+7²)(s²+37²)

Putting values in equation (1), we get

L{u(x, t)} - s²L{u(x, t)} = s(∂u/∂x)|t=0L{u(x, t)} = s(∂u/∂x)|t=0/(s²+1)

where, ∂u/∂x = 2(7 cos 7x + 37 cos 37x)L{u(x, t)} = 2s(7 cos 7x + 37 cos 37x)/(s²+1)

Therefore, u(x, t) = L^-1{2s(7 cos 7x + 37 cos 37x)/(s²+1)}= 2(e^(-7t) cos 7x + e^(-37t) cos 37x)

Hence, the solution of the given boundary-value problem using Laplace Transform is u(x, t) = 2(e^(-7t) cos 7x + e^(-37t) cos 37x).

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Answer:

C

Step-by-step explanation:

The graph is showing a slope of 3/2. The only option showing this slop is c.

a) 5 apples + 11 kilograms = Not like terms.

b) 12 birds + 3 birds = 15 birds are Like terms.

c) 2 months + 6 months = 8 months is like terms.​

What is Addition?

A process of combining two or more numbers is called addition.

And, The sum of all the objects are called the addition of the numbers.

Given that;

The expressions are given in birds , apples and kilograms.

Now,

a) 5 apples + 11 kilograms

Since, This sum is not defined because both the quantity are different to each other.

So, they are Unlike terms.

b) 12 birds + 3 birds = 15 birds

Clearly, This sum is defined because both the quantity are equal to each other.

So, They are Like terms.

c) 2 months + 6 months = 8 months

Clearly, This sum is defined because both the quantity are equal to each other.

So, They are Like terms.

Therefore,

a) 5 apples + 11 kilograms = Not like terms.

b) 12 birds + 3 birds = 15 birds are Like terms.

c) 2 months + 6 months = 8 months is like terms.​

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Answer:

\(H_{o}\): Larger proportion of news media = democrats

Ha : Large proportion of news media \(\neq\) democrats  

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

The subtended arc along the circle is 79/360 of the circle's circumference. Therefore, the subtended arc is approximately 0.2194 times as long as 1/360 of the circle's circumference.


To find the length of the subtended arc along the circle, we need to know what fraction of the circle's circumference it represents.

The angle measures 79 degrees, which is a little over 1/5 of a full circle (which measures 360 degrees). Therefore, the subtended arc represents a little over 1/5 of the circle's circumference. More precisely, it represents 79/360 of the circle's circumference.

To find out how many times as long the subtended arc is as 1/360 of the circle's circumference, we can divide the length of the subtended arc by the length of 1/360 of the circle's circumference. This gives us:

(79/360) / (1/360) = 79

So the subtended arc is 79 times as long as 1/360 of the circle's circumference. Alternatively, we can express this as a decimal by dividing the subtended arc by 1/360:

(79/360) ÷ (1/360) = 0.2194

So the subtended arc is approximately 0.2194 times as long as 1/360 of the circle's circumference.

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An effective leader is able to balance and integrate both relationship-building and task-oriented aspects of leadership.

Effective leaders recognize that leadership is not solely about achieving tasks and goals; it also involves building and maintaining strong relationships with their team members.

They understand that establishing positive relationships is crucial for fostering trust, collaboration, and engagement within the team.

By prioritizing relationships, effective leaders create a supportive and inclusive work environment where individuals feel valued, heard, and motivated to contribute their best.

At the same time, effective leaders also understand the importance of accomplishing tasks and achieving organizational goals.

They possess the ability to set clear objectives, delegate responsibilities, and monitor progress to ensure that tasks are completed efficiently and effectively.

They are skilled at organizing resources, making decisions, and providing guidance to their team members, all while maintaining a focus on the desired outcomes.

The key to being an effective leader lies in the ability to balance and integrate both relationship-building and task-oriented aspects of leadership.

This means recognizing that strong relationships contribute to improved teamwork, communication, and employee satisfaction, which in turn enhance overall performance and productivity.

By acknowledging and valuing both dimensions, effective leaders create a harmonious work environment that fosters growth, success, and the well-being of both individuals and the organization as a whole.

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Answer:

C

Step-by-step explanation:

(2/3) y ln^2 (2y) + (7/18) y ln 2y + C

To evaluate the integral ∫2y+7y ln 3y ln 2y dy, we can make use of integration by substitution.

Let u = 3y ln 2y => du/dy = 3 ln 2 + 3

We can solve for dy by differentiating the first equation with respect to y,du/dy = 3 ln 2 + 3 => dy = du/(3 ln 2 + 3)

So the integral can be rewritten in terms of u: ∫ (2u/9) + (7u/9) du

After integration, we get(2/9)u^2 + (7/18)u + C, where C is the constant of integration.

Substituting back u = 3y ln 2y, we have the final answer as(2/3) y ln^2 (2y) + (7/54) (3y ln 2y) + C= (2/3) y ln^2 (2y) + (7/18) y ln 2y + C.So the answer is:(2/3) y ln^2 (2y) + (7/18) y ln 2y + C, where C is the constant of integration.

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Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

Answer:

11.3

Step-by-step explanation:

Volume: L * W * H

L = 20

W = 8

H = 35 mm = 35/10 = 3.5 cm

V = 20 * 8 * 3.5

V = 560 cm^3

Density = m/v

Density = 6328 / 560

Density = 11.3

The cost of making the chest with these dimensions is approximately $3.83.

Let's start by finding an expression for the cost of making the chest in terms of its dimensions. The cost of the oak top and sides is given by:

cost of oak = 2lw + 2lh

where l is the length and w is the width of the chest, and h is the height (which we don't know yet). The cost of the pine bottom is given by:

cost of pine = lw

The total cost of making the chest is the sum of these two costs:

total cost = cost of oak + cost of pine

= 2lw + 2lh + lw

We want to minimize this cost subject to the constraint that the volume of the chest is 0.25 cubic metres. The volume of a rectangular box is given by:

volume = length × width × height

= lwh

Since the volume is given as 0.25 cubic metres, we have:

lwh = 0.25

We also know that the length is twice the width, so we can write:

l = 2w

Substituting this into the expression for volume, we get:

\(2w^{2h} = 0.25\)

Solving for h, we get:

\(h = 0.125/w^2\)

Substituting this expression for h into the expression for the total cost, we get:

total cost = \(2lw + 2(0.125/w^2)w + lw\)

= 2lw + 0.25/w

To minimize this cost, we can take the derivative with respect to w and set it equal to zero:

d(total cost)/dw =\(2l - 0.25/w^2 = 0\)

Solving for w, we get:

w = \(\sqrt{0.125/l)}\)

Substituting this value for w back into the expression for h, we get:

h = \(0.125/w^2 = 8l\)

Therefore, the dimensions that will minimize the cost of making the chest are:

length = 2w = \(2\sqrt{(0.125/l)}\)

width = w =\(\sqrt{0.125/l)}\)

height = h = 8

To find the cost of making the chest, we can substitute these values into the expression for the total cost:

total cost = 2lw + 0.25/w

= \(2\sqrt{(0.125/l} ) \times \sqrt{0.125/l)} \times 2 + 0.25/\sqrt{(0.125/l)}\)

= 4 × 0.125 + 0.25 × sqrt(l/0.125)

= 0.5 + 2\(\sqrt{2\) ≈ 3.83

Therefore, the cost of making the chest with these dimensions is approximately $3.83.

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Answer:

A

Step-by-step explanation:

3m + 7 - 8 + 7m

10m + 7 - 8

10m - 8

The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.

It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.

Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.

As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.

The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.

While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.

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Answer:

Infinitely | 1 solution: 3, -2 | No solution.

Step-by-step explanation:

1. The lines overlap so there are infinite connections.

2. The lines intersect at 1 point: 3, -2

3. The lines never connect.

hope this helps