What were various reasons why Americans settlers migrated westward during the late 1800’s

If 4 friends eat 4 cakes in 4 days, the rate at which cakes are consumed is 1 cake per friend per day. Thus, if there are 10 friends and they eat for 10 days, they will consume a total of 100 cakes.

To find the number of cakes 10 friends will eat in 10 days, we can set up a proportion based on the given information. If 4 friends eat 4 cakes in 4 days, we can calculate the rate at which cakes are consumed:

Rate = Number of cakes / Number of friends / Number of days

Rate = 4 cakes / 4 friends / 4 days

Rate = 1 cake / friend / day

Now, let's calculate the number of cakes 10 friends will eat in 10 days using the calculated rate:

Number of cakes = Rate * Number of friends * Number of days

Number of cakes = (1 cake / friend / day) * 10 friends * 10 days

Number of cakes = 100 cakes

Therefore, 10 friends will eat 100 cakes in 10 days.

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Answer:

-148

Step-by-step explanation:

Hello!

We can evaluate by plugging in -3 for x, and -7 for y in the expression \(3x^3 - 2x^2 + 7y\)

The evaluated value is -148.

Answer:

-148

Step-by-step explanation:

c=36+g

c:g:s=5:2:1

The ratio gives us two equations so that's three equations in three unknowns.  Actually we're after the total t; let's put that in to solve for directly.

c:g:s:t = 5 : 2 : 1 : 5+2+1

We turn the ratio to fraction equations.  s has the one; let's write everything in terms of s.

c/s = 5/1,  g/s = 2/1, t/s = 8/1

Clearing the fractions,

c = 5s, g = 2s, t = 8s

Our other equation is

c = 36 + g

Substituting in for c and g,

5s = 36 + 2s

Solving,

3s = 36

s = 12

That's right; let's just get the total t.

t = 8s = 72

Answer: 72

Answer:

For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?

Step-by-step explanation:

For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?For every 10 kilograms, there are 22 pounds.

Fido the Labrador weighs 55 pounds. What is his

weight in kilograms?

Answer:

Width: 6 cm

Length: 9 cm

Step-by-step explanation:

Width: x

Length: x + 3

2(x)+2(x+3) = 30cm

2x + 2x + 6 = 30

4x = 30-6

x = 24/4

x = 6

True, if Στ = 0 in a single-factor experiment, then all treatment means must be equal.

In single-factor experiments, if the sum of the treatment effects (Στ) is equal to zero (Στ = 0) for all levels (i=1 to n), then it implies that all treatment means (Ti) must be equal.

In a single-factor experiment, a single independent variable (factor) is manipulated, and its effect on the dependent variable is studied across different levels or treatments.

The treatment effects (τ) represent the differences in the mean response between each treatment level and the overall mean of the dependent variable.

If the sum of these treatment effects (Στ) is equal to zero (Στ = 0), it means that the positive and negative differences cancel each other out, resulting in a net effect of zero.

If Στ = 0, it implies that the total treatment effect across all levels is balanced, indicating that there are no systematic differences between the treatment means.

Consequently, if all treatment effects cancel out and Στ = 0, it implies that the means of all treatment levels (Ti) must be equal since any deviations from the overall mean are offset by equal and opposite deviations in other treatment levels.

Therefore, if Στ = 0 in a single-factor experiment, it indicates that all treatment means must be equal.

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Answer:

A = 12.5 and P = 16.2

Step-by-step explanation:

A = 5 x 5/ 2

A = 12.5

To find right hypotenuse

= √25 + 9 = √34

To find right hypotenuse

= √25 + 4 = √29

P = 5 + √34 + √29

P = 5 + 5.8 + 5.3

P = 16.1 (roughly 16.2)

When a₁ = 4, d = 3.5, and n = 14 are given.The value of A(14) is 49.5, the correct answer is option C. The issue appears to be related to number juggling arrangements, where A(n) speaks to the nth term of the arrangement and a₁ speaks to the primary term of the sequence.

Ready to utilize the equation for the nth term of a math grouping:

A(n) = a₁ + (n-1)d

where d is the common contrast between sequential terms.

A(14) = 4 + (14-1)3.5

Streamlining this condition, we get:

A(14) = 4 + 13*3.5

A(14) = 4 + 45.5

A(14) = 49.5

Hence, the esteem of A(14) is 49.5, which is choice C. 

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Value | Comparison

x = -1 | Greater for Function R

x = 0 | Same for both functions

x = 1 | Same for both functions

x = 2 | Greater for Function Q

To determine whether each value is greater for Function Q, the same for both functions, or greater for Function R, we need to substitute the given values of x into the equations of both functions and compare the resulting values.

The given functions are:

Q: y = 3x - 2

R: y = x^2

For each value of x, we substitute it into both functions and compare the resulting values of y.

For x = -1:

Q: y = 3(-1) - 2 = -5

R: y = (-1)^2 = 1

The value of y for Function R (1) is greater than the value of y for Function Q (-5). Therefore, it is Greater for Function R.

For x = 0:

Q: y = 3(0) - 2 = -2

R: y = (0)^2 = 0

The value of y for both functions is the same (0). Therefore, it is Same for both functions.

For x = 1:

Q: y = 3(1) - 2 = 1

R: y = (1)^2 = 1

The value of y for both functions is the same (1). Therefore, it is Same for both functions.

For x = 2:

Q: y = 3(2) - 2 = 4

R: y = (2)^2 =

The value of y for Function Q (4) is greater than the value of y for Function R (4). Therefore, it is Greater for Function Q.

In summary:

For x = -1, the value is Greater for Function R.

For x = 0 and x = 1, the values are Same for both functions.

For x = 2, the value is Greater for Function Q.

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If an indifference curve is bowed in toward the origin, the marginal rate of substitution is different for each bundle along the indifference curve.

So, the correct option is D.

Marginal rate of substitution is the maximum amount of a commodity that can be given up in exchange for a unit of another commodity, without affecting the level of satisfaction provided by the total consumption bundle.The marginal rate of substitution (MRS) is defined as the amount of one good a consumer is willing to forgo to gain an additional unit of another good while maintaining the same level of satisfaction. It is the ratio of the marginal utility of the two goods. MRS is not constant along an indifference curve because it diminishes as the consumer moves down an indifference curve towards the corner. For any two bundles of goods, the MRS is the slope of the indifference curve at the point where the bundle is located on the graph.If the indifference curve is bowed in towards the origin, then it will have a different marginal rate of substitution (MRS) for each bundle along the curve, and it will not reflect the relative value of the goods. Therefore, the answer is (d) different for each bundle along the indifference curve.

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Answer:

Perpendicular

Step-by-step explanation:

Here, we want to know the relationship between the two lines .

The easiest way to go about this is to get their slopes;

Mathematically, the equation of a straight line can be expressed in the form;

y = mx + c

where m is the slope;

Hence;

2x -5y = 10

Isolating the y part

5y = 2x -10

divide through by 5

y = 2/5x - 2

So the slope here is 2/5

for the second line

10x + 4y = 20

Divide by 2 all through

5x + 2y = 10

Isolate y

2y = 10-5x

Divide by 2 again

y = 5 -5/2x

The slope here is -5/2

What do we notice? we can see that if we multiply the two slopes by each other, we get -1

That is;

2/5 * -5/2 = -1

What this means is that both lines are perpendicular.

This is because the slopes of perpendicular lines, when multiplied by each other = -1

The design specifications for a reverse-air baghouse to remove fly ash from a power plant exhaust gas stream are requested. The answers to the specific requirements are as follows:

a. The type of fabric: The selection of fabric for the baghouse will depend on various factors such as temperature, gas composition, and particulate characteristics. Considering the presence of SO2 gas and the high temperature of the airstream, a suitable fabric choice could be PTFE (Polytetrafluoroethylene) or P84 (Polyimide) due to their resistance to corrosion and high-temperature properties.

b. Filtering velocity, ft/min: The filtering velocity is the airflow rate passing through the cloth area per unit area. It is typically recommended to keep the filtering velocity within a range of 2-6 ft/min for baghouse applications. Considering the given airflow rate of 300,000 acfm, the filtering velocity can be calculated by dividing the airflow rate by the cloth area.

c. Cloth area: The cloth area required can be determined by dividing the airflow rate (300,000 acfm) by the filtering velocity (ft/min). The units should be converted appropriately to ensure consistency.

d. Number of bags: The number of bags needed depends on the desired bag spacing, bag length, and cloth area. It is typically determined based on practical considerations such as maintaining appropriate airflow distribution and minimizing pressure drop.

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The equation is equivalent to the r = d/t.

There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

We have to find which equation is equivalent to the formula d = rt.

Formula given: d = rt

Divide both sides by t

d/t = rt / t

d/t = r

Thus, the equation is equivalent to the r = d/t.

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Answer:

-1/6

Step-by-step explanation:

Answer:

an = 8n − 65 is the correct answer

Free Points Say What---------------------------------------------------------

Answer:

yes

Step-by-step explanation:

Here is the complete question :

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?

Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.

Types of  descriptive statistics

1. Measures of central tendency :

They include mean, median and mode

Mode refers to a value that appears most frequently in a data set.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

2. Measures of variation : It includes range, standard deviation and variance

3. Measure of position ; percentile and quartiles

4. Measure of frequency : count, percentage

Answer: 24

Step-by-step explanation: A standard cube has 6 sides. The spinner has 4 sections. For any section of the spinner you land on, you can land on one of 6 sides of the dice.

4*6

Answer:

The answer is 1,200 meters

Step-by-step explanation:

So what I did was find the rate so we want to know how much Sheila can do in just 1 minute first so you would have to do 6,000/ 15 which gives you 400 so he does 400 meters in just 1 minute. So then you would have to multiply 400 by 3 which gives you 1,200, making that your answer.

hope that helped!

Answer: 800 meters

Step-by-step explanation:

We first find the speed of Sheila by the speed equation, which is:

v =d/t

d is the total distance traveled

t is the total time taken

And so, we get:

v = 6000m/ 15min

= 400m/min

Now, we find the distance traveled in 2 minutes by solving for distance in the speed equation, which becomes:

d=v⋅t

Inputting our values, we get:

400m/min ⋅ 2min=800

The angle congruence property illustrated is given as follows:

Symmetric Property of Angle Congruence.

The symmetric property of angle congruence states that if if one geometric shape is congruent to a second shape, than the second shape is also congruent to the first.

The shapes in this problem are given as follows:

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Answer:

53 1/5

Step-by-step explanation:

Make 5 7/10 and 9 1/3 into a fraction which is 57/10 and 28/3

Then multiply the numerators together and the denominators which gives you 1596/30

Simplify by dividing it by 6 getting 266/5

Change to a mixed number 53 1/5

According to the question the proportion of the population are as follows:

a) To compute the z-value associated with 25.0, we use the formula:

z = (x - μ) / σ

where x is the value (25.0), μ is the mean (20.0), and σ is the standard deviation (4.0).

Plugging in the values, we have:

z = (25.0 - 20.0) / 4.0

z = 5.0 / 4.0

z = 1.25

Therefore, the z-value associated with 25.0 is 1.25.

b) To find the proportion of the population between 20.0 and 25.0, we need to find the area under the normal curve between these two values. This can be calculated using the z-scores associated with the values.

First, we calculate the z-score for each value:

z1 = (20.0 - 20.0) / 4.0 = 0

z2 = (25.0 - 20.0) / 4.0 = 1.25

Using a standard normal distribution table or a statistical calculator, we can find the area under the curve between these two z-scores.

The proportion of the population between 20.0 and 25.0 is the difference between the cumulative probabilities at these two z-scores:

P(20.0 < x < 25.0) = P(z1 < z < z2)

Looking up the values in the z-table, we find that the area corresponding to z = 0 is 0.5000, and the area corresponding to z = 1.25 is 0.8944.

Therefore, P(20.0 < x < 25.0) = 0.8944 - 0.5000 = 0.3944 (rounded to 4 decimal places).

c) To find the proportion of the population less than 18.0, we calculate the z-score for this value:

z = (18.0 - 20.0) / 4.0 = -0.5

Again, using the z-table, we find the area to the left of z = -0.5, which is 0.3085.

Therefore, the proportion of the population less than 18.0 is 0.3085 (rounded to 4 decimal places).

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Answer:

1. The sum of two times a number (x) and -2 is at least 8 is first

2. Seven subtracted from 4 times a number (x) is more than 13 is second

3. Four added to 3 times a number (x) is less than 19 is third

4. Two less than 3/2 of a number (x) is no more than 5 1/2 is last

LOVE YOUR PFP!!!

Step-by-step explanation:

Answer:

1. Two less than 3/2 of a number (x) is no more than 5 1/2 is last

2. Seven subtracted from 4 times a number (x) is more than 13 is second

3. Four added to 3 times a number (x) is less than 19 is third

4.The sum of two times a number (x) and -2 is at least 8 is first

Step-by-step explanation:

got it right

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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The solution to the given differential equation is y = C. The initial condition y(2) = π gives the particular solution y = π.

Given the differential equation, tan y + (xsec²y + cos y)y' = 0

Let us check the exactness of the given equation,

M = tan y and N = xsec²y + cos y

We have to find ∂M/∂y and ∂N/∂x.

∂M/∂y = sec²y∂

N/∂x = sec²y

Both are equal so given differential equation is exact. Now, we find the integrating factor,

I.F = e∫P dx

I.F = e∫(∂M/∂y - ∂N/∂x) dx

I.F = e∫(sec²y - sec²y) dx

I.F = 1

So, the solution to the given differential equation is y = C, where C is an arbitrary constant.

Solving the IVP:

y(2) = π.

The solution to the given differential equation is y = C, where C is an arbitrary constant.y = Cπ = Cy = π

Thus, the solution to the given differential equation with the initial condition is y = π.

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Answer:

61 degrees

Step-by-step explanation:

The angle measure must be less than 90 degrees (4x+15) (10x-3) is 61 degrees

The diagram with blue dots will be the adjusted plot points to get the best fit for the scatter diagram. We will: option c) decree the y-intercept and increase the slope to get this.

The best-fitted line is that particular line that passes through a maximum of the point and is very close to them.

Here we see that most of the scatter points line below the fitted line. Hence we need to lower these by decreasing the y-intercept.

After lowering this, we will notice that the lines are flatter than most of the points here. Hence to make the line a better fit, we will increase the slope of the line.

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Correct Question

(Image Attached)

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

1. False

2. True

3. True

4.  A register is not part of RAM.

1. False. The largest unsigned value is 2ⁿ⁻¹.

2ⁿ⁻¹ is the maximum value an unsigned value can take where n is the number of bits allocated for it.

2. In terms of 2's complement a signed number is equal to the value of the number but with the opposite sign. True.

For a signed number in 2's complement, we first convert the number to binary. Then we invert all the bits and add 1 to the result.

This gives us the 2's complement representation of the number. The result will have the same magnitude as the original number, but the opposite sign.

3. True. If the sum of two digits exceeds the radix, then we need to carry over to the next place value.

For example, if we are using base 10 (decimal), then we can only add two digits together if the sum is less than or equal to 9. If the sum is greater than 9, we need to carry over to the next place value.

Similarly, if we are using base 2 (binary), then we can only add two digits together if the sum is less than or equal to 1.

If the sum is greater than 1, we need to carry over to the next place value.

4. A register is not part of RAM. Registers are small, high-speed storage locations that are located within the processor itself.

RAM, on the other hand, is external to the processor and is used for temporary storage of data and instructions.

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