The principal advantage of the Dodge-Romig tables is: A. minimum inspection B. its desirability for receiving inspection C. smaller lot sizes D. simplicity

Answer:

6k 2k-6

Step-by-step explanation:

The statements about the given parabola that are true are:

The form of a parabola is :

y = a ( x - h ) ² + k

This means that the statement that the vertex is (-2, 4) is true because the vertex is ( h, k ).

The focus is ( h,  k - p ) which would be ( -2 , 1 / 2 ). This is shown in option A.

The Directrix is:

y = 4 + 7/2

= 15 / 2

This is shown in option C.

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a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.

b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.

c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.

d) The function connecting these pairs of points is not a linear function.

The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by

average slope = (y2 - y1) / (x2 - x1)

For the points (0, 1) and (2, 4), the average slope is

average slope = (4 - 1) / (2 - 0) = 3/2

For the points (-2, 1/4) and (-1, 1/2), the average slope is

average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4

The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.

Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.

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Answer:

2 (2r + t)

Step-by-step explanation:

2r + (t + r) × 2

➡️ 2r + 2 (t + r)

➡️ 2 (r + t + r)

➡️ 2 (2r + t)

Answer:

63 Degrees

Step-by-step explanation:

90-27=63 Degrees

Hope this helps!

The length of the smallest part of the line segment is 12 cm.

The line segment of length 96 cm is divided into 3 parts with the ratio of 2:9:5. The given ratio is a part-to-whole ratio. We can find the lengths of the parts by applying the formula:

Part = Whole × Ratio

Part 1 = 96 cm × (2/16)

= 12 cm

Part 2 = 96 cm × (9/16)

= 54 cm

Part 3 = 96 cm × (5/16)

= 30 cm

Therefore, the length of the smallest part of the line segment is 12 cm.

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The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

The formula for determining simple interest is expressed as

I = PRT/100

where

I = interest earned

R = interest rate

T = number of years

P = principal or amount invested

From the information given,

P = 15000

I = 4200

T = 8

Thus, we have

4200 = (15000 x R x 8)/100

4200 = 1200R

R = 4200/1200

R = 3.5

The required interest rate is 3.5%

Answer:

28 is the answer that i got sorry if it is wrong

Answer:

Answer is D

Step-by-step explanation:

(3,-7) and (1,-10) belong toD Variant

The required function is \(y=-\frac{3}{4}(x-3)^2-7\) , so the correct option is D.

Important information:

The vertex form of a quadratic function is:

\(y=a(x-h)^2+k\)

Where, \(a\) is constant and \((h,k)\) is vertex.

Substitute \(h=3,k=-7\).

\(y=a(x-3)^2-7\)        ...(i)

Graph passes through the point (1, -10). Substitute \(x=1,y=-10\) in (i).

\(-10=a(1-3)^2-7\)

\(-10+7=4a\)

\(-3=4a\)

\(\dfrac{-3}{4}=a\)

Substitute \(a=-\dfrac{3}{4}\) in (i).

\(y=-\frac{3}{4}(x-3)^2-7\)

Therefore, the correct option is D.

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The statement that accurately describes the sampling distribution of means is "the frequency distribution of a selection of sample means that occurs when many samples of the same size n are randomly selected from one raw score population.

This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution with a mean equal to the population means and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

The other options are not accurate descriptions of the sampling distribution of means.

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The area of the shaded region is 60 square units.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

To find the area of the shaded region, we need to subtract the area of the rectangular region that was removed from the larger rectangular region.

The area of the larger rectangle is:

11 x 8 = 88

The area of the rectangle that was removed is:

7 x 4 = 28

So, the area of the shaded region is:

88 - 28 = 60

Therefore, the area of the shaded region is 60 square units.

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all the angles are right because b is perpendicular to the two lines

Answer:

plz give brainliest

Step-by-step explanation:

Points A, B, and C lie on a line.

Point A is between points B and C.

Starting at point A and going past point B, you have ray AB.

Starting at point A and going past point C, you have ray AC.

If you think of angle BAC, it is a straight angle of 180 degrees.

You have the two rays AB and AC forming a line and an angle.

Answer:

The answer would be 80.

Step-by-step explanation:

First you want to add 16 and 24.

Next you want to multiply that answer by 2.

Then you have your answer and I hope this helps

Answer: 135983 pages

Step-by-step explanation:

1 book = 421 pages

323 books = 135983 ( 421 x 323)

Mark me as the brainiest answer

Answer:

$4.29

Step-by-step explanation:

Gas Price Today = 3.49 + 3.49(23%) = 3.49(1 + 23%) = 3.49(1.23) = 4.2927 = $4.29 rounded to the nearest cent.

Answer:

90

Step-by-step explanation:

90/10= 9

90/5= 18

No number larger than 90 would work.

Part (a)

We need to consider

\(x=\frac{1}{k\pi}, k \in \mathbb{Z}\)

\(f\left(\frac{1}{k\pi} \right)=\tan (k\pi)

\)

tan(x) has a period of pi, so this is equal to tan(0)=0.

Part (b)

We need to consider

\(x=\frac{4}{(4n+1)\pi}, n \in \mathbb{Z} \\ \\ f \left(\frac{4}{(4n+1)\pi} \right)=\tan \left(\frac{(4n+1)\pi}{4} \right) \\ \\ =\tan \left(\pi n+\frac{\pi}{4} \right) \\ \\ =1\)

Part (c)

We see that 1/x approaches infinity, and hence the limit does not exist.

The probability of inhaling at least one molecule from your last breath is virtually certain, reaching close to 1 or 100%.

The probability of inhaling at least one molecule from your last breath, given that there are approximately 10^22 molecules in your breath and they are thoroughly mixed among 10^44 molecules in the atmosphere, is extremely high. It is essentially certain that you are inhaling at least one of these molecules at any given moment.

The probability of inhaling at least one molecule from your last breath can be calculated by considering the ratio of the molecules in your breath to the molecules in the atmosphere. With approximately 10^22 molecules in your breath and 10^44 molecules in the atmosphere, the probability of inhaling at least one molecule from your last breath can be approximated as 1 - (probability of not inhaling any molecule).

The probability of not inhaling any molecule from your last breath can be calculated by the following formula: (1 - probability of inhaling one molecule)^N, where N is the number of breaths you have taken since your last breath.

However, in this scenario, the number of molecules in the atmosphere is enormously greater than the number of molecules in your breath. This means that even if you take a vast number of breaths, the probability of not inhaling any molecule from your last breath becomes incredibly small, approaching zero. Therefore, the probability of inhaling at least one molecule from your last breath is virtually certain, reaching close to 1 or 100%.

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The equation of the tangents that pass through the point (10, 8) is,

y = x - 2.

Given that,

The curves are x = 6t² and y = 4t³ + 4

Now, Differentiate both the x and y equations with respect to t to find the slopes of the tangent lines.

dx/dt = 12t

dy/dt = 12t²

Substitute the x and y equations into the equation of a line,

y - y₁ = m(x - x₁)

where (x₁, y₁) is the point (10, 8) and m is the slope obtained from step 1.

y - 8 = m(x - 10)

Substitute the x and y equations into the equation above to eliminate t and obtain an equation in terms of x and y.

4t³ + 4 - 8 = t(6t² + 4 - 10)

Simplifying the equation, we get:

4t³ - 4 = 6t³ + 4t - 10t

6t³ - 4t³ - 6t + 4 = 0

2t³ - 6t + 4 = 0

Solve the above equation for t to find the values of t that correspond to the points of tangency.

After solving the equation, we get one value of t:

t = 1

Substitute the values of t into the x and y equations to find the corresponding points of tangency.

When t = 1,

x = 6(1)² + 4

x = 10

And , y = 4(1)³ + 4

y = 8.

This gives us the point (10, 8).

Finally, use the point-slope form of the equation of a line to write the equations of the tangents.

For the point (10, 8), the equations of the tangents are:

y - 8 = (1)(x - 10),

y - 8 = x - 10

y = x - 10 + 8

y = x - 2

Therefore, the equation of the tangents that pass through the point (10, 8) is y = x - 2.

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(a) Cases: US women ages 10-50. Variable: births in 2008. (b) The bin for 38-40 years old has height 40, so 40 births occurred.  (c) The bin for 18-20 years old has height 160, so 160 births occurred.

(a) The cases in this study are US women ages 10-50. The variable is the number of births in 2008. (b) The bin for 38-40 years old has a height of 40, so this indicates that 40 births occurred among women who are at least 38 years old. (c) The bin for 18-20 years old has a height of 160, so this indicates that 160 births occurred among women in that age group. To further illustrate this, each bar on the histogram shows the frequency with which the data fall within a specific age range. The height of each bar indicates the frequency with which the data fall within that range. For example, the bar for 18-20 years old indicates that the data fall within this age range 160 times, which means that 160 births occurred among women in that age group.

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Answer:

A. Voters age 40 and over are least likely to favor road expansion.

Answer:

I think its c but just so you know I'm not really smart so I might be wrong

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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