Question 1 (Multiple Choice Worth 1 points)
(07.01 LC)
Factor completely 3x - 12.
O Prime
O 3x(-12)
O3(x-4)
O 3(x + 4)

Answer:

Down to the right.

Like down hill

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

in the equation y = ax, a would be the slope

if the slope is negative, then the line goes from down to the right

I did an example on desmos to show you

When a sprinkler head is installed on a finished ceiling or wall, a(n) escutcheon is required and may be included as part of the listed assembly or as a decorative touch.

An escutcheon is a protective and decorative cover that is used when a sprinkler head is installed on a finished ceiling or wall. It is designed to conceal the gap between the sprinkler head and the surrounding surface, providing a neat and finished appearance. The installation of an escutcheon is necessary for several reasons. First, it helps to prevent the accumulation of dust, dirt, or debris around the sprinkler head, which could potentially interfere with its functions.

By covering the gap, the escutcheon acts as a barrier, keeping the area clean and maintaining the proper operation of the sprinkler system. Secondly, the escutcheon serves an aesthetic purpose. It enhances the overall appearance of the sprinkler head installation, making it visually appealing and blending it seamlessly with the surrounding ceiling or wall.

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Answer:

191

Step-by-step explanation:

Sorry it's sideways. I drew a box chart for this. First, fill in what you know: the number of white and black beads Ally has. Then, calculate how many black beads Betty has (Ally's number, 59, minus 35.) 59-35 = 24.

They tell you the total number of beads is 346. Add up Ally's total to get 131, then subtract that from 346. That's Betty's total beads, 215.

Last, subtract the 24 black beads Betty has from the 215 total to get 191.

Answer:

\(2*10^{4}\)

Step-by-step explanation:

The major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

The linear probability model does not take into account the fact that probabilities are bounded between 0 and 1. As a result, the predicted values of y can sometimes fall outside of this range, which is not meaningful or interpretable in terms of probability. To address this issue, alternative models such as logistic regression or probit regression can be used, which are specifically designed to model probabilities and ensure that predicted values fall within the appropriate range. These models use non-linear functions to map the values of the independent variables to probabilities, thereby avoiding the problem of predicted values falling outside the valid range.

Therefore,the major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

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12£ and 42£

Step-by-step explanation:

gethin gets 2/9

David gets 7/9

total money is equal to 54

Gethin gets 54x 2/9=12

David gets 54x7/9=42

Answer:

The answer is D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

−3x + 6 > 12

Move all terms not containing x to the right side of the inequality.

Subtract 6 from both sides of the inequality.

−3x > 12 − 6

Subtract 6 from 12.

−3x > 6

Divide each term by −3 and simplify.

Divide each term in −3x > 6 by −3. When multiplying or dividing both sides of an i nequality by a negative value, flip the direction of the inequality sign.

(-3x/-3)<(6 /-3)

Cancel the common factor of −3.

Divide 6 by −3.

x < −2

( − ∞ , − 2 )

The first thing he should do is to define the problem to be researched and determine his data needs.

scenario (plural scenarios) a description of the storyline of a play or book. The actual screenplay, as well as any related treatments or outlines. An example of an expected or alleged series of events, expressed as an outline or model.

Intentionally casual, unfinished, and incomplete narrative depictions of significant use circumstances occurring throughout time are called scenarios. A usage scenario describes how someone might use a present system or product. The utilization of a system or product that is currently being developed is described in a design scenario.

The first thing he should do is to define the problem to be researched and determine his data needs.

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Answer:

B

Step-by-step explanation:

The statements that accurately compare the domain and range of the functions are: The domain of all three functions is all real numbers, The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

The domain of a function refers to all the possible input values that make the function defined. For the quadratic function f(x) = 3x², there are no values of x that make the function undefined, so the domain of f(x) is all real numbers. To find the range of f(x), we can calculate the vertex of the parabola, which is (0,0). The range of f(x) is all real numbers greater than or equal to zero.

For the quadratic function f(x) = 3x², we can determine the vertex using the formula:

h = -b/2a

In this case, a = 3 and b = 0, so:

h = -0/2(3) = 0/6 = 0

The x-coordinate of the vertex is 0.

To find the y-coordinate, we evaluate the function at the vertex:

f(0) = 3(0)² = 0

So the vertex of the parabola is (0,0).

Since the coefficient of x² is positive, the parabola opens upwards, and the minimum value of the function occurs at the vertex. Therefore, the range of f(x) is all real numbers greater than or equal to zero.

For the rational function g(x) = 1/3x, the function is undefined when the denominator is equal to zero. Thus, we solve for the value(s) of x that make the denominator zero:

3x = 0

Dividing both sides by 3, we get:

x = 0

Therefore, the domain of g(x) is all real numbers except zero. The range of g(x) is all real numbers except zero, since the function cannot equal zero.

For the linear function h(x) = 3x, there are no values of x that make the function undefined. Thus, the domain of h(x) is all real numbers. The range of h(x) is also all real numbers, since the function is a straight line that passes through the origin and extend infinitely in both directions.

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The definition of percent helps you write fraction and decimal equivalents by understanding that "per cent" means "per hundred".

For example, if you are asked to write the fraction and decimal equivalent of 25%, you would divide 25 by 100 to get the fractional equivalent of ¼, and divide 25 by 100 to get the decimal equivalent of 0.25.

The decimal equivalent of a fraction or percentage is the numerical value expressed in decimal form. For example, the decimal equivalent of 1/2 is 0.5 and the decimal equivalent of 25% is 0.25. Decimal equivalents are useful for calculations and can be used to convert fractions and percentages into decimal form.

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\(\mathbb{ANSWER:}\)

We can write the equation of variation as \(\sf y = \frac{k}{x^2}\) since \(\sf y \propto \frac{1}{x^2}\). The independent variable is y while the dependent variable is x^2. The variable k denotes the constant of proportionality.

Answer:

51.1 ≈ r

Step-by-step explanation:

"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.

C = 2· π· r

What is the radius of the wheel ​?

321 = 2· π· r, divide both sides of the equation by 2 π

(321/2·π) = r , use calculator, solve and round the answer

51.1 ≈ r

Answer:

$42.90

Step-by-step explanation:

You do 21.45 x 2, or you can add 21.45+ 21.45

This is because it was only two people, Kayla and her best friend.

Answer:

50 more

Step-by-step explanation:

Answer:

50 more than............

Mean stress has a significant impact on the S-N curve for a metal alloy, affecting the fatigue life and stress levels for safe design.

The S-N curve is the graphical representation of the fatigue life of a material as it relates to cyclic loading. S-N curves are used to determine the safe design and stress levels for a material subjected to cyclic loading.

It has two axes that are the stress range and number of cycles to failure (fatigue life). A typical S-N curve for a metal alloy is shown below:Effect of mean stress on an S-N curve: The effect of mean stress on an S-N curve can be observed in the reduction of fatigue strength.

The mean stress is the portion of the stress that does not vary with time. The slope of the S-N curve changes with mean stress. It shifts the curve to the left for compressive mean stress and to the right for tensile mean stress. The higher the mean stress, the more it reduces the fatigue life and the slope of the curve decreases.

The curve becomes less steep with increasing mean stress, which means the fatigue strength of the material is decreasing. In fact, at very high mean stresses, the material may fail even at very low stress amplitudes.

Therefore, mean stress has a significant impact on the S-N curve for a metal alloy, affecting the fatigue life and stress levels for safe design.

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Answer:

  y = 18

Step-by-step explanation:

Direct variation means y will change by the same factor x does. When x changes by a factor of 15/10 = 1.5, the value of y will change by that same factor

  x = 10, y = 12

  x= 15, y = 1.5×12 = 18

The new value of y is y = 18.

_____

Written as a proportion, you have ...

  y/15 = 12/10

  y = 15×12/10 = 18

__

Written as a direct variation equation, you have ...

  y = kx

  12 = k·10   ⇒   k = 1.2

  y = 1.2·15 = 18 . . . . for x=15

Answer: 40.2%

Step-by-step explanation:

Divide 1000 by 10 and 402 by 10. You get 100 (the total percentage) and 40.2 (the percentage that chose Brand B.)

Answer:

angle AFB

Step-by-step explanation:

please make me billent

In simplest formP(B|A) = 32/90 = 8/22 = 4/9.Option C.

To find the probability P(B|A), we need to determine the probability that the second digit is a prime number given that the first digit is a prime number.

Let's analyze the possible combinations that satisfy the given conditions:

There are four prime numbers between 10 and 99: 11, 13, 17, and 19. These four prime numbers are the only options for the first digit in the combination (Event A).

For the second digit, we have nine possible options: 1, 2, 3, 4, 5, 6, 7, 8, and 9. However, we need to exclude the first digit chosen in Event A. For example, if the first digit is 11, we cannot use 1 as the second digit.

Therefore, for each of the four prime numbers in Event A, we have eight possible options for the second digit. This gives us a total of 4 * 8 = 32 possible combinations that satisfy both Event A and Event B.

The total number of two-digit combinations without any restrictions is 90 (from 10 to 99).

Therefore, the probability P(B|A) can be calculated as the ratio of the number of combinations that satisfy both events (32) to the total number of two-digit combinations (90):

P(B|A) = 32/90 = 8/22 = 4/9 Hence, the correct option is C.

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Answer:

T=106 degrees

P=59 degrees

Step-by-step explanation:

5)

angle S=angle U

9x-7=13x-43

4x=36

x=9

angle S=9(9)-7

angle S=74 degrees

T+T+74+74=360

so angle T=106 degrees

6)

angle N=angle P

angle N + angle M=180 degrees

5x-11+11x-33=180

16x=224

x=14

angle M=11x-33=121 degrees

angle N=5x-11

angle P=59 degrees

The two numbers whose difference is 86 and whose product is a minimum. The numbers are (43,-43) and therefore, the smaller number is  -43 and largest number is 43.

Given :

Two numbers whose difference is 86 and whose product is a minimum.

To find : The numbers

Let the largest number be x,

and smallest number be y.

According to question,

Two numbers whose difference is 86.

i.e.  x - y = 86                   -----------------------------(1)

Product of two number is minimum.

i.e.   xy = 86                     -------------------------------- (2)

where P is minimum.

Now substitute x from (1) in (2),

     x (x -86) = P

⇒ y(x) = x² - 86x = P               ------------------------------ (3)

Differentiating Equation (3), we get:

y'(x) = 2x - 86

and y'(x) = 0

After subtracting we get:

    2x - 86 = 0

⇒ x = 86 /2

⇒ x = 43

The vertex of the equation occur at x = 43.

Putting the value of x = 43 in equation (1) , we get:

    48 - y = 86

⇒ -y = 86 - 48

⇒ y = -43

So, the value of y is - 43.

Therefore, the numbers are (43,-43).

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The equation of the line is 17x-y+128=0

What is a line?

⇒ A line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.

What is the slope of a line?

⇒ The slope of a line, also known as the gradient is defined as the value of the steepness or the direction of a line in a coordinate plane.

Calculation:

We have to find the equation of the line passing through the points (-8,-8) and (-7, 9)

⇒ So first we have to find the slope of the line

We can find the slope by using the slope formula which is

⇒ m=(y2-y1)/(x2-x1) , slope is denoted by m

m=(9-{-8})/(-7-{-8})

m=17/1

m=17

So the slope of the line passing through the point(-8,-8) and (-7, 9) is 17

To find the equation of a line passing through (-8,-8) and having a slope of 17 can be found by applying the slope point formula

⇒ (y-y₁)=m(x-x₁)

(y-{-8})=17(x-{-8})

y+8=17(x+8)

y+8=17x+136

So the equation of the line is 17x-y+128=0

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Answer:

x = 67°

Step-by-step explanation:

It's given that m║n.

Construction done: A line 't' parallel to the given lines 'm' and 'n'.

Since, m║t and a transversal line is intersecting these lines.

m∠a = 35° [Alternate interior angles]

m∠c = 180° - 148° [∠c and angle measuring 148° are the linear pair of angles]

       = 32°

n║t and a transversal line is intersecting these lines.

Since, ∠b ≅ ∠c [Alternate interior angles]

m∠a + m∠b = m∠x [Angle addition postulate]

x = 32° + 35°

x = 67°

Therefore, measure of angle x is 67°.

The approximately 99.38% of the data falls between the values 120 and 280.

To find the percentage of data that falls between the values 120 and 280, we need to find the standard scores (z-scores) that correspond to these values and use a standard normal table to find the proportion of data within this range.

First, we'll find the z-score for 120:

z = (120 - 200) / 40 = -2.5

Similarly, the z-score for 280 is:

z = (280 - 200) / 40 = 2.5

Now we can use a standard normal table to find the proportion of data between -2.5 and 2.5 standard deviations from the mean. This proportion is approximately 0.9938 or 99.38%.

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