What is the purpose of the list of grievances?
to list the reasons the colonists are abolishing their government

to explain the purpose of natural rights to the king

to declare that the United States of America is a free and independent state

to show that the colonists understand the importance of their actions

The equation y = 3x - 4 represents a linear function.

The equation that represents a linear function is:

3x - 4 = 7

This equation can be expressed in the form y = mx + b, where m is the slope of the line and b is the y-intercept, indicating that it is a linear equation since the maximum power of the variable (x) is 1.

We can isolate y on one side of the equation and express the equation in the slope-intercept form as follows:

3x - 4 + 4 = 7 + 4

3x = 11

x = 11/3

Now that we know the value of x, we can use it to solve for y:

3(11/3) - 4 = 3

Therefore, the equation y = 3x - 4 represents a linear function.

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Answer:

no

Step-by-step explanation:

All triangles must add up to one 180 degrees 23+49+106 does not equal 180

Answer:

Step-by-step explanation:

Here is a pizza, ordered from the Venn Pizzeria on Bayes Street. The pizza is divided into eight slices, and the slices might have pepperoni, mushrooms, olives, ...

Answer:

a rod is 16 1/2 feet long, so 13 x 16.5= 214.5 feet

Answer:

1.6mph

Step-by-step explanation:

speed = distance / time

speed = 4/5 / 0.5

speed = 1.6

Answer:

8/5 mph or 1 3/5 mph

Step-by-step explanation:

speed = distance/time

speed = (4/5 miles) / (1/2 hour)

speed = 4/5 ÷ 1/2 mph

speed = 4/5 × 2/1 mph

speed = 8/5 mph

Answer: 8/5 mph or 1 3/5 mph

Answer:

V≈33.51m³

Step-by-step explanation:

V=4

3πr3=4

3·π·23≈33.51032m³

Answer:

The flagpole is 60'(60 inches) tall

Step-by-step explanation:

A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole

The formula is given as:

Height of percy/ Shadow of percy = Height of flagpole/Shadow of flagpole

Height of percy = 5 inches

Shadow of percy = 3 inches

Height of flagpole = ??

Shadow of flagpole =36 inches

= 5/3 = x/36

Cross Multiply

3 × x = 36 × 5

3x = 36 × 5

x = 36 × 5/3

x = 60 inches

Therefore, the flagpole is 60'(60 inches) tall.

Answer:

The standard deviation for the number of people with the genetic mutation in groups of 900 is approximately 6.54.

Step-by-step explanation:

To find the standard deviation for the number of people with the genetic mutation in groups of 900, we can use the properties of the binomial distribution. The binomial distribution describes the number of successes (in this case, people with the genetic mutation) in a fixed number of independent Bernoulli trials (in this case, selecting people), each with the same probability of success.

In our case, we have:

n = 900 (number of trials, i.e., the number of people in each group)

p = 0.05 (probability of success, i.e., the probability of having the genetic mutation)

The mean (μ) and variance (σ²) of a binomial distribution can be calculated using the formulas:

μ = n * p

σ² = n * p * (1 - p)

We are interested in finding the standard deviation (σ), which is the square root of the variance:

σ = sqrt(σ²)

So, in our case:

σ = sqrt(900 * 0.05 * (1 - 0.05))

σ = sqrt(900 * 0.05 * 0.95)

σ ≈ sqrt(42.75)

σ ≈ 6.54

Thus, the standard deviation for the number of people with the genetic mutation in groups of 900 is approximately 6.54.

The standard deviation for the number of people with the genetic mutation in such groups of 900 is approximately 6.48.

To find the standard deviation for the number of people with the genetic mutation in groups of 900, you can use the formula for the standard deviation of a binomial distribution:

σ = √(n * p * (1-p))

Here, n = 900 (number of people randomly selected), p = 0.05 (5% of the population has the genetic mutation).

σ = √(900 * 0.05 * (1 - 0.05))
σ = √(45 * 0.95)
σ ≈ 6.48

The standard deviation for the number of people with the genetic mutation in such groups of 900 is approximately 6.48.

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Answer:

I believe the correct answer is D

Answer:

I found it is beside of and next to when

Answer:

6 and 8 are corresponding.

2 and 4 is corresponding.

Step-by-step explanation:

and 2 and 7 is alternate.

3 and 6 are alternate.

Answer: 3.9b−2.6

Step-by-step explanation: Hope this helps

Answer:

1.3b

Step-by-step explanation:

The equation is -2.6+3.9b. A negative number acts like subtraction, so we would subtract 2.6 from 3.9 to get 1.3. The b is still there, and we don't know what it is, so we simplify the equation to 1.3b.

Sorry, this explanation isn't the best. Hope it helped! :)

The image of Point A, after a dilation which is centered at the origin with a scale factor of 2 is ( 4, 2 )

When a dilation is centered at the origin with a scale factor of 2, the coordinates of a point are multiplied by 2.

Given a point A(2,1) , the image of point A after a dilation centered at the origin with a scale factor of 2 is:

Point X :

= 2 x 2

= 4

Point Y:

= 1 x 2

= 2

So the image of point A after the dilation is the point A' with coordinates ( 4, 2 )

It's important to note that dilation either expands or contracts the figure and the center of dilation is the fixed point around which the expansion or contraction occurs.

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Answer:

D. 491.52

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

4^3

This is 4 multiplied by itself 3 times

4*4*4

64

Answer:

x=5

Step-by-step explanation:

6(5)= 30

(a) 0.034 L, (b) 27,000 mg, (c) 310 L

To express each value with two significant figures, we follow these rules:

If the first non-zero digit is before the decimal point, count all the digits starting from the first non-zero digit.

If the first non-zero digit is after the decimal point, count all the digits starting from the first non-zero digit until the second significant figure.

Round the last digit if it is greater than or equal to 5.

(a) 0.03405 L:

The first non-zero digit is 3. Since it is before the decimal point, we count all the digits starting from 3. The second significant figure is 4. Therefore, rounding to two significant figures gives us 0.034 L.

(b) 26,978 mg:

The first non-zero digit is 2. Since it is before the decimal point, we count all the digits starting from 2. The second significant figure is 6. Therefore, rounding to two significant figures gives us 27,000 mg.

(c) 310.490 L:

The first non-zero digit is 3. Since it is before the decimal point, we count all the digits starting from 3. The second significant figure is 1. Therefore, rounding to two significant figures gives us 310 L.

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Answer:

40,000

Step-by-step explanation:

Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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Answer:

Step-by-step explanation: 10% of 40 pounds= 4 pounds

10%= 4 pounds

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer: Yes. The data provides convincing evidence.

Step-by-step explanation:

In a random sample of 40 teenagers, 18 enjoy reading for fun. The percentage of teenagers who enjoy reading for fun will be:

= 18/40 × 100

= 45%

In a random sample of 40 adults, 12 enjoy reading for fun. The percentage of adults who enjoy will be:

= 12/40 × 100

= 30%

Therefore, the proportion of adults who enjoy reading for fun is less than that of teenagers. Therefore, the data provides convincing evidence.

Answer:

x=23

Step-by-step explanation:

1/6 as a decimal is 0.16666667 but i rounded it to 0.2

so the equation is the 0.2(3x-9)-9=3

then i did 0.2 times 3x =0.6x

then 0.2 times -9= -1.8

so the equation now looks like this:

0.6x-1.8x-9=3

so i add 1.8 and 9 to 3 which gives you 13.8

then the equation looks like this:

0.6x=13.8

then you do 13.8 divided by 0.6 which equals 23.

hope this helps

tell me if i got it right or wrong

The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.  Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

The total weight of the whole tenderloin is given to be 2.5 kg.The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.

To calculate the total edible tenderloin in pounds, we need to convert the weight of whole tenderloin from kg to pounds.

1 kilogram (kg) = 2.20462 pounds (lbs)

Therefore,2.5 kg = 2.5 x 2.20462 = 5.51155 lbs We are given that 1.65 pounds of fat, sinew, and trimming need to be taken out from the whole tenderloin.

So, the total edible tenderloin in pounds = 5.51155 - 1.65= 3.86155 pounds

Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

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Answer:

c should be the answer

Step-by-step explanation:

Answer:

140 is total length.

Step-by-step explanation:

If it is square, the formula for the area of the land would equal \(x^{2}\).

Or, side times side.

So, you would have to find the square root of 1225, which is 35.

Since there is four sides, 35*4 = 140

140 is the total length of the wire.

The length of each piece is 150/3 which is 46.(6)

Answer:

y = 81/34

Step-by-step explanation:

-96+34y=-15

-96+34y+96=-15+96

34y=81

34y/34 = 81/34

y= 81/34