Find the product
-20 • (-4) =

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

yep it is 80

Step-by-step explanation:

If it was lower than 75 it would be 70 but since it is 75+ it would be 80

The new function in terms of g(x) is g(x) = -2|x - 3).The correct answer is option B.

To understand why, let's break down the transformation step by step:

1. Translation Down by 3 Units: This means shifting the graph of the function downward by 3 units. To achieve this, we subtract 3 from the original function's expression, resulting in f(x) - 3 = |x| - 3.

2. Vertical Stretch by a Factor of -2: A vertical stretch affects the magnitude of the function's output. When we stretch a function vertically by a factor of a, we multiply the function's expression by that factor.

In this case, the factor is -2. Multiplying the translated function from step 1 by -2, we get -2(|x| - 3), which simplifies to -2|x - 3|.

Therefore, the new function, in terms of g(x), is g(x) = -2|x - 3).

Option B correctly represents this transformation by subtracting 3 inside the absolute value and multiplying the entire expression by -2.Option A does not incorporate the vertical stretch factor of -2, while option C includes an additional unnecessary shift. Option D represents a different linear function, not the translated and stretched absolute value function.

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The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

The measure of a central angle of a decagon is 36 degrees.

the 1/2 central angle = 18 degrees

Apothem ≈ 16.93

Area of the decagon ≈ 931.15

The figure has ten sides hence a decagon

To find the measure of a central angle of a decagon, we need to use the formula:

Central angle = 360 degrees / number of sides

Substituting the value for a decagon, we get:

Central angle = 360 degrees / 10 sides

Central angle = 36 degrees

To find the 1/2 central angle, we simply divide the central angle by 2:

1/2 central angle = 36 degrees / 2

1/2 central angle = 18 degrees

To find the apothem, we use the formula:

Apothem = (Side length) / (2 x tan(180 / number of sides))

Substituting the given values, we get:

Apothem = (11) / (2 x tan(18 degrees))

Apothem ≈ 16.93

To find the area of the decagon, we first need to find the perimeter using the formula:

Perimeter = (Number of sides) x (Side length)

Perimeter = 10 x 11

Perimeter = 110

Now, we can use the formula for the area:

Area = (1/2) x Apothem x Perimeter

Area = (1/2) x 16.93 x 110

Area ≈ 931.15

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Answer:

( rounded to 3 decimal place )  1 : 5.33...

Step-by-step explanation:

Answer:

(2x + 3)(x + 1)

Step-by-step explanation:

you didn't show them, the factors are

(2x + 3)(x + 1)

Answer:

\((x+1)(2x+3)\)

Step-by-step explanation:

\(2x^{2} +5x+3\)

\(2x^{2} +3x+2x+3\)

\(x(2x+3)+2x+3\)

\((x+1)(2x+3)\)

The difference between two events that are 300s apart on clock A will also be 300s apart on clock B and clock C when clock A reads 380s. The time difference between events is independent of the reading on any individual clock.

The time on any of these clocks is a straight-line function of that on another, with slopes 1 and y-intercepts. Use the equation of the straight line to calculate the above quantities.

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor.

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The measure οf angle 8 is 30 degrees.

An interiοr angle is a shape's internal angle. The clοsed shape with sides and vertices is a pοlygοn.

If lines l and m are parallel, then alternate interiοr angles 3 and 8 are cοngruent.

Sο if angle 3 measures 30 degrees, then angle 8 alsο measures 30 degrees.

Therefοre, the measure οf angle 8 is 30 degrees.

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Answer:

-0.333333333

Step-by-step explanation:

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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Given:

y= 2x ; y=-x+3

Substitute the value of x as -2,-1,0,1,2

y=2x

y= -x+3

Therefore, the solution is (1,2) .

Answer:

y= -3/5x - 7 (assuming slope-intercept form)

Step-by-step explanation:

First, we see the slope. The basic template for a slope-intercept question is

y=mx + b

So, we put in -3/5 as "m" in this case, as it is the slope to get y= -3/5x +b

To find b, we can just try out the point that the equation gave us.

-3/5 * -5 = 3

Then, to get to -4 from 3, we need to subtract 7.

Then, we get our whole slope-intercept equation. y=-3/5x - 7

Answer:

The equation is y = 3/5x - 1

Step-by-step explanation:

1. Construct an equation. We can use the slope-point formula to construct an equation from these (y - y₁ = slope * (x - x₁)). If you plug in these values, you'll get the equation y + 4 = -3/5(x +5).

2. Simplify. If you simplify, you'll get that y = 3/5x - 1 by isolating y.

Answer: The equation of the line is y = 3/5x - 1.

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that \(\mu = 20 + 15 + 30 = 65\)

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that \(\sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926\)

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{60 - 65}{2.6926}\)

\(Z = -1.86\)

\(Z = -1.86\) has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

Answer:

No solution

Step-by-step explanation:

y= -1x+5

y= -1x+2

Let's solve

-1x + 5 = -1x + 2

5 = 2

This is not true!

So, there are No Solution.

Answer:

If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.

Hope this helps and if you could mark me as brainliest. Thanks!

Answer:

x=25 and c=75

Step-by-step explanation:

(x+5)+(3x)+c=180

x+5+3x+c=180

x+3x+c=175

4x+c=175

c=-4x+175

c=3x

-4x+175=3x

175=7x

x=25

c=3x

c=3(25)

c=75

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Answer:

6

Step-by-step explanation:

y=mx+b

M=Slope

B=Yintercept (6 in this case)

Where the line crosses the Y axsis

y= -8x + 6

Hope this helps.

Answer:

Hi so when you write an equation for a line I like you start with finding the y-intercept (where the line crosses the y-axis) in this case it is 6, remember that. Now we need to find the slope. I like to just count over and down from the points they give us. In this case it is 8 down and over 1. 8/1 is just 8 and the line is pointing downwards so the line is negative.

Now we put it together: y=mx+b (m is slope and b is y-intercept)

y= -8x + 6

Hope this helped!

Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

Answer:

4

Step-by-step explanation:

why is it 4 because

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------

\(17 = r + 10\)

Swap sides so that all variable terms are on the left hand side.

\(r + 10 = 17\)

Subtract 10 from both sides.

\(r = 17 - 10\)

The table that represents the function for a lawn being mowed more quickly than by Killian's rate is given as follows:

Second table.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

Killian can cut grass at a rate of 1000 square feet each 10 minutes, hence his average rate of change is given as follows:

1000/10 = 100 square feet per minute.

For the second table, in 7 minutes, 1100 square feet of lawn is mowed, hence the rate is given as follows:

1100/7 = 157 square feet per minute.

It is more quickly than Killian's as the rate of change is greater.

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The coordinates of the vertices on the diagonals indicates that the slope of the vertical diagonal is equivalent to the inverse negative of the slope of the horizontal diagonal, which satisfy the condition for the perpendicular lines. The diagonals of a kite are therefore, perpendicular.

Perpendicular lines are lines that form 90° angle with each other at the point of intersection.

The coordinates of the vertices of the kite are;

(-a, 0), (0, c), (b, 0), and (0, -c)

The points on the vertices that are on the same diagonals are;

(-a, 0), and (b, 0), and (0, c), and (0, -c)

The slope of the line that includes the diagonals with points (-a, 0), and (b, 0) can be found as follows;

The slope of the diagonal that has the points (-a, 0), and (b, 0) is 0

The slope of the diagonal with points (0, c), and (0, -c) can be found using the slope formula as follows;

The slopes of the diagonals, 0, and ∞, indicates that the slope of the vertical diagonal is the inverse negative value of the slope of the horizontal diagonal, as follows;

Slope of the vertical diagonal = -1/0 = ∞, therefore, by the relationship between perpendicular line, we get;

The horizontal diagonal is perpendicular to the vertical diagonal

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The triangles are congruent if two sets of matching angles and the included sides are also congruent. This standard is called angle-side-angle (ASA). Angle-angle-side (AAS) is another criterion that takes into account the congruence of two pairs of angles as well as the non-included side.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

All triangles are contained in a single plane if all geometry is on the Euclidean plane, but in higher-dimensional Euclidean spaces, this is no longer the case.

The definition of the terminology used to classify triangles can be found on the first page of Euclid's Elements, which dates back more than two thousand years. In modern classification, names are either directly transliterated from Euclid's Greek or translated from Latin.

Hence, The triangles are congruent if two sets of matching angles and the included sides are also congruent. This standard is called angle-side-angle (ASA). Angle-angle-side (AAS) is another criterion that takes into account the congruence of two pairs of angles as well as the non-included side.

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Answer:

Step-by-step explanation.