PLS HELP.... If 4x^2 + bx + 9 = 0, where b is the constant, has exactly one solution, what is a possible value of b ?
A. 72
B. 36
C. 12
D. 6

We are given a horizontal curve on a two-lane highway with a radius of 610 meters. We also know that the shortest distance between station PC and station PT is 400 meters, and station PT is located at 0+500. The stations are PC: 0+100 and PI: 0+710.

In the second paragraph, we will explain the steps to find the stations PC and PI:

To find the station of PC, we start from station PT and subtract the shortest distance of 400 meters. Since station PT is located at 0+500, we subtract 400 from it to get PC. Therefore, PC is located at 0+100.

Next, to find the station of PI, we need to consider the geometry of the curve. The point PI is located at the point of tangency between the curve and the tangent at station PC. Since the curve is horizontal, the tangent at PC is perpendicular to the curve. The distance from PC to PI is equal to the radius of the curve. Therefore, PI is located at a distance of 610 meters from PC. Adding this distance to the station of PC (0+100), we find that PI is located at 0+710.

In conclusion, the stations are PC: 0+100 and PI: 0+710.

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We are given a horizontal curve on a two-lane highway with a radius of 610 meters. We also know that the shortest distance between station PC and station PT is 400 meters, and station PT is located at 0+500.

The stations are PC: 0+100 and PI: 0+710. We will explain the steps to find the stations PC and PI: To find the station of PC, we start from station PT and subtract the shortest distance of 400 meters. Since station PT is located at 0+500, we subtract 400 from it to get PC. Therefore, PC is located at 0+100. Next, to find the station of PI, we need to consider the geometry of the curve.

The point PI is located at the point of tangency between the curve and the tangent at station PC. Since the curve is horizontal, the tangent at PC is perpendicular to the curve. The distance from PC to PI is equal to the radius of the curve. Therefore, PI is located at a distance of 610 meters from PC. Adding this distance to the station of PC (0+100), we find that PI is located at 0+710. The stations are PC: 0+100 and PI: 0+710.

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Answer:

C=24π

Step-by-step explanation:

C=2πr

C=2π12

C=24π

≈75.39

The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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The answer is True. Researchers must carefully consider their sampling methods and statistical techniques to ensure that their results are reliable and valid. Overall, using sample results to estimate unknown population statistics is a common practice in statistics and plays an important role in research and decision-making processes.

In statistics, researchers often use sample data to make inferences about a larger population. This is because it is often impractical or impossible to collect data from every single individual in a population. Instead, researchers select a smaller group, known as a sample, and use statistical methods to analyze the data collected from this group. By doing so, they can estimate or infer characteristics of the larger population. However, it is important to note that the accuracy of these estimates depends on the size and representativeness of the sample, as well as the statistical methods used.

Taking a sample allows researchers to save time and resources while still obtaining reliable information about the population. The accuracy of these estimates depends on factors such as sample size and sampling methods. In summary, using sample results to estimate an unknown population statistic is a common and useful practice in research.

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The area covered by a sprinkler that sprays water in a circle of an 8-foot radius is 200.96 square feet.

Circle is a 2-Dimensional shape. It has no vertex and edges. It has a center point which equidistant from any point of boundary or circumference of a circle.

Radius refers to the distance between the center and any point on the boundary or circumference of the circle.

The area of a circle is given as the product of a constant pi and the square of the radius.

A =  π\(r^2\)

A is the area

r is the radius

r = 8 feet

A = π * 8 * 8

= 3.14 * 8 * 8

= 200.96 square feet

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9514 1404 393

Answer:

  the listed sequences have no common difference(s)

Step-by-step explanation:

The differences in the first sequence are ...

  8, 10, -1, 19

These values are not equal, so there is no common difference.

__

The differences in the second sequence are ...

  -3, 3, -3, 3

These values are not equal, so there is no common difference.

_____

The difference is the difference between a term value and the one before.

  1 -(-7) = 8

  3 -6 = -3

Answer:

I believe the answer is Kelvin

Answer:

B. 334 mph

explanation:

A function that converts an input of letters and numbers into an encrypted output of a fixed length is called hash. The links in the blockchain that is created using an algorithm.

A hash is a mathematical function that changes an input of any length into an encrypted output of a specific length. Therefore regardless of the quantity of raw data involved or the size of the file, its unique hash is always the same size. Also, a hash cannot be used to "reverse engineer" an input from a hash output, because hash functions are "one-way" (like a meat grinder; you don't can't put ground beef back into a steak). However, if you use such a function on the same data, its hash will be the same, so you can confirm that the data is the same (i.e., unchanged) if you already know its hash.

Hashes are used in various parts of the blockchain system. Each block header contains the hash of the previous block, ensuring nothing has been tampered with as new blocks are added. Cryptocurrency blockchains use hashes to secure information and make the ledger immutable.

It refers to the technique of making an input element of arbitrary length reflect an output element of definite length. For blockchain applications in cryptocurrencies, variable duration transactions are processed by specific hashing algorithms and all produce fixed length outputs. This is true regardless of the duration of the input transaction.

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Complete Question:

Fill in the blanks,

A function that converts an input of letters and numbers into an encrypted output of a fixed length is called ________. The links in the blockchain that is created using an algorithm.

Answer:

B. 4/75

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each trial:

The probabilities of picking each startbust are the same, so each event is independent.

Independent events:

Two events, A and B, we have that:

\(P(A \cap B) = P(A) \times P(B)\)

In this question:

Event A: Yellow starburst on the first trial.

Event B: Orange starbust on the second trial.

4 yellow out of 5+4+3+3 = 15 starbursts.

This means that \(P(A) = \frac{4}{15}\)

3 orange out of 15 starbursts.

This means that \(P(B) = \frac{3}{15}\)

Probability of A, then B:

\(P(A \cap B) = P(A) \times P(B) = \frac{4}{15} \times \frac{3}{15} = \frac{4*3}{15*15} = \frac{4}{15*5} = \frac{4}{75}\)

So the correct answer is:

B. 4/75

Answer:

m = 2/3

Step-by-step explanation:

sorry if its wrong

The sum of the given series is 72 / (72 + π^2).

We can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where S is the sum, a is the first term, and r is the common ratio. In this case, the first term is (-1)^0 π^0 / (6^0 (2*0)!), which simplifies to 1, and the common ratio is (-1) π^2 / (6^2 (2*1)!), which simplifies to -π^2 / 72. Thus, we have:

S = 1 / (1 + π^2 / 72)

Now, we can simplify the denominator by multiplying the numerator and denominator by 72:

S = 72 / (72 + π^2)

Therefore, the sum of the given series is 72 / (72 + π^2).

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Answer: y = 14.50x + 2.99

Step-by-step explanation:

The equation is y = mx + b

y is the total cost and x is the number of shirt

We know each shirt is $14.50, and she bought x shirts, so 14.50 is the slope

The 2.99 shipping fee is the y-intercept

So our equation is

y = 14.50x + 2.99

Answer:

The correct option is;

Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function

Step-by-step explanation:

Given that a function maps a given value of the input variable, to the output variable, we have that a relation that has two values of the dependent variable, for a given dependent variable is not a function

Therefore, a graph in which at one given value of the input variable, x, there are two values of the output variable y is not a graph of a function

With the vertical line test, if a vertical line drawn at any suitable location on the graph, intercepts the graph at more than two points, then the relationship shown on the graph is not a function.

Answer:

a

Step-by-step explanation:

The dimensions of a norman window of maximum area if the total perimeter is 14 feet are 2 ft and 4 ft respectively.

Given:

a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window

we are asked to  find the dimensions of a norman window of maximum area if the total perimeter is 14 feet.

the area of the semicircle is given by:

A = πr²/2

The area of the rectangle is just the product of its length and width.

Letting A be the area of the window and adding the two ares, we have:

A = xy + π(y/2)²/2

= xy + π(y²/4)/2

= xy+πy²/8

we know the circumference = πd

the circumference of a semicircle is half of that. The perimeter of a rectangle is the sum of twice the length and twice the width. However, one of the sides is replaced by the semicircle, so we remove it from the equation.

Hence, we have the following equation for the perimeter.

14 = 2x+y+πy/2

let us isolate x from this equation

14 = 2x+y+πy/2

14-y-π/2 = 2x

x = 7-y/2-πy/4

substituting x to the equation for the area, w have:

A = xy + πy²/8

= (7 - y/2 - πy/4)y + πy²/8

= 7y - y²/2 - πy²/4 + πy²/8

= 7y - y²/2 - 2πy²/8 + πy²/8

= 7y - y²/2 - πy²/8

differentiating A with respect to x.

A = 7y - y²/2 - πy²/8

A' = 7 - y - πy/4

⇒ 7 - y - πy/4 = 0

⇒ 28 - 4y - πy=0

⇒ 28 = 4y+πy

⇒ 28=(4+π)y

⇒ y = 28/4+π ≈ 4 ft

perimeter:

14 = 2x+y+πy/2

14 = 2x + 28/4+π + π(28/4+π)/2

14(8+2π)=2x(8+2π)+28(2)+28π

112+28π = 16x+4πx+56+28π

112-56=16x+4πx

56=(16+4π)x

x=56/16+4π

= 14/4+π

x=14/4+π≈ 2 ft.

Hence the dimension are 2 ft and 4 ft.

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Answer:

X = 12.645 round to 12.7

Step-by-step explanation:

∆LMN ~ ∆OPQ

so the coresponding side ratio are proportional

LM/OP = LN/OQ

LM/OP = LN/OQ49/OP = 31/8 ... the u solve x

X = 12.645 round to 12.7

Answer:

3x^2+6x-11

Step-by-step explanation:

g(f(x)) = g(x^2+2x-4) = 3(x^2+2x-4)+1 = 3x^2+6x-11

The volume of the solid figure would be = 18 units²

A cube is defined as the solid object that is made up of six equal square faces.

The volume of each cube that makes up the solid figure= 1 unit ³.

The number of cubes that makes up the solid figure = 18

Therefore the area of the solid figure would be = 1 × 18 = 18units³.

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The energy transferred to the water in 5 minutes is 2700 Joules.

To calculate the energy transferred to the water, we can use the formula:

Energy = Power x Time

where Power = Potential Difference x Current

Given potential difference = 12V and current = 750mA, we can calculate the power as:

Power = 12V x 750mA = 9W

Now, the time taken to heat the water is given as 5 minutes. We need to convert this into seconds to use the SI unit of power, which is watts. So,

Time = 5 minutes = 300 seconds

Putting the values in the formula for energy, we get:

Energy = Power x Time
Energy = 9W x 300s
Energy = 2700 Joules

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Answer:

The solution to the equation 5i + 4 = 14 + 4i is i = 10.

Step-by-step explanation:

To solve for i in this equation, isolate the variable (i) on one side of the equation. To do this, we'll subtract 4 from both sides:

5i + 4 - 4 = 14 + 4i - 4

This leaves us with:

5i = 10 + 4i

Next, we'll subtract 4i from both sides:

5i - 4i = 10 + 4i - 4i

This leaves us with:

i = 10.

So the solution to the equation 5i + 4 = 14 + 4i is i = 10.

Answer:

Step-by-step explanation:

Use PEDMAS

125 ÷ (-5) * (-4) - 100 =  (-25) * (-4) - 100

                                  = 100 - 100

                                  = 0

Answer:

Length = 6.49 cm

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Since we're already given the area and width and want to find the length, we can first rewrite the area formula in terms of l:

A/w = l

Now, we can plug in 25.311 for A and 3.9 for w to solve for l, the length:

25.311 / 3.9 = l

6.49 cm = l

We can check that 6.49 is the correct length by plugging everything into the regular area formula and checking that we get 25.311:

25.311 = 6.49 * 3.9

25.311 = 25.311

All you have to do is assign values to the variable, for exaple, given the following equation:

y(x) = 2x

For x=1

y(1) = 2(1) = 2

For x=4

y(4) = 2(4) = 8

For x=0

y(0)= 2(0) = 0

For x=-10

y(-10)= 2(-10) = -20

and so on...

Answer:

Evelyn's mean is 138

Step-by-step explanation:

i hope it helps :)

The possible values for the width (w) are any number less than or equal to 6 meters. Let's use the given information to create an inequality to find the possible values for the width (w) of the rectangle.

Since the length of the rectangle is 5 times the width, we can express the length as 5w. The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
We are given that the perimeter is less than or equal to 72 meters, so we can write the inequality as:
2(5w) + 2w ≤ 72
Now, we'll solve for w:
10w + 2w ≤ 72
12w ≤ 72
w ≤ 6
So, the possible values for the width (w) of the rectangle are w ≤ 6 meters.

Let's start by using the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
We know that the length of the rectangle is 5 times the width, so we can substitute 5w for the length:
Perimeter = 2(5w + w)
Simplifying the expression, we get:
Perimeter = 2(6w)
Perimeter = 12w
Now we know that the perimeter must be less than or equal to 72 meters, so we can write the inequality:
12w ≤ 72
Dividing both sides by 12, we get:
w ≤ 6
So the possible values for the width (w) are any number less than or equal to 6 meters.

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The given equation, y = -1.7x + 8.5, is not in standard form with integer coefficients. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive.

To convert the given equation to standard form, we need to eliminate the decimal coefficient. We can do this by multiplying both sides of the equation by 10 to clear the decimal: 10y = -17x + 85 Next, we want the coefficient of x to be positive, so we can multiply both sides of the equation by -1: -10y = 17x - 85

Now, we can rearrange the terms to match the standard form: 17x - 10y = 85 So, the equation of the given line in standard form with integer coefficients is 17x - 10y = 85. To convert the given equation to standard form, we need to eliminate the decimal coefficient.

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Answer:

The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold. The designer will reject the shipment of gold and miss out on an honest business relationship with the supplier.

Step-by-step explanation:

Type I error is defined as the rejection of the true null hypothesis. It is also called as the 'false positive' conclusion or 'false positive' findings. The value of alpha or the significance level determines the probability of making the error type I.

In the context, it is given that for a gold piece to be of 18 karat , the piece of jewelry must be made of 75% of pure gold.

The null hypothesis is, H0: The proportion of metal that is gold is 75%

The alternative hypothesis is Ha: The proportion of metal that is gold is less than 75%.

Thus the type I error is when the gold shipment is made of 75% gold but the jewelry designer rejects the shipment thinking that the shipment is made of less than 75% gold.

Thus it shows the error of type I rejecting the null hypothesis.

Answer:

no solution.

Step-by-step explanation:

3x+7=14+3x

3x-3x=14-7

      0=7

0 is not equal to 7, hence making this equation to have no solution.

Answer: no solution

Step-by-step explanation:

Based on flow velocity, 4.132 feet per second is the correct response to the question.

A vector number called velocity is used to explain how quickly an object changes its position with respect to time. Its definition is that it is the displacement (change in position) of an object per unit of time, which takes into account both the magnitude (speed) and direction of the object's motion.

We must determine the pipe's cross-sectional area. The following formula provides the cross-sectional area of a pipe:

A = πr²

where r is the pipe's radius.

Since the pipe's diameter is specified as 6 inches, the radius may be determined as being equal to half of the diameter:

r = 6/2 = 3 inches

To translate this to feet:

r = 3/12 = 0.25 feet

Now we may apply the cross-sectional area formula:

A = πr² = π(0.25)² = 0.196 ft²

Next, we can use the formula for velocity of flow:

v = Q/A

where A is the pipe's cross-sectional area and Q represents the flow rate.

Inputting the values provided yields:

v = 0.81/0.196 = 4.132 fps

As a result, the 6-inch-diameter pipe's flow velocity is roughly 4.132 feet per second.

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