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Triangle DEF has vertices D(-2, -1), E(0, 1), and F(1, -3). Graph the
triangle and its image after a dilation with a scale factor of 3.

Answer:

She is 72 months old.

Step-by-step explanation:

Answer: 72 months

Step-by-step explanation: 12 x 6 = 12

Step-by-step explanation:

no

x -15= -15

x=0

There won't be negative solution

Step-by-step explanation:

Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.

The total no of cabinets are 100

Equation will be : x+y = 110

We can write it as : y = 110-x ...(1)

Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.

Equation will be : y = 2x + 20 ...(2)

Put the value of y from equation (1) into equation (2).

110-x = 2x + 20

Combining like terms,

110-20 = 2x+x

90 = 3x

x = 30

Put the value of x in equation (1) :

y = 110-30

y = 80

Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.

Step-by-step Solution

Problem to solve: 6x−8y−5х+3y

solving method: simplifying

Combining like terms -8yand 3y

6x−5y−5

Final Answer:

6x−5y−5

Step-by-step explanation:

=>6x-5x-8y+3y first combine like terms together then add the like terms with x and substruct like terms with y

=>x-5y is the answer

Answer:

15/x

Step-by-step explanation:

x = fish tank

Due process in a lineup means that the lineup must not be unfair and impermissibly suggestive. The correct answer is c) both a) unfair and b) impermissibly suggestive.

Due process in a lineup refers to the constitutional right to a fair and impartial identification procedure. It ensures that the lineup does not contain any elements that could lead to misidentification or bias against the suspect. In order to protect this right, both fairness and the absence of impermissible suggestion are essential.

a) Unfairness: A lineup is considered unfair if it systematically favors or prejudices the identification of a particular individual. For example, if the suspect stands out significantly from the other lineup participants in terms of appearance, or if the lineup administrator provides cues or hints to the witness, it would be considered unfair.

b) Impermissible Suggestion: An impermissibly suggestive lineup is one that suggests or directs the witness to identify a specific individual as the suspect.

This can occur through various means, such as presenting a lineup where the suspect stands out or is presented in a way that draws attention, or by providing verbal or non-verbal cues that indicate a preference for a particular identification.

Both of these factors, unfairness and impermissible suggestion, undermine the reliability and accuracy of eyewitness identifications. Due process requires that lineups be conducted in a manner that minimizes the risk of misidentification and ensures fairness to the suspect.

Therefore, the correct answer is c) both a) unfair and b) impermissibly suggestive.

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The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

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answer =15 books

Step-by-step explanation:

3/4 * 20 = 60 / 4= 15 books

Answer:

15

Step-by-step explanation:

3/4×20 4 will cancel 20 you'll get 5 then 3×5 you'll get 15

Answer:

$65.475 ($65.48 rounded)

Step-by-step explanation:

The word "per" is usually a trigger-word for multiplication. So, we multiply.

\(14.55 * 4.5\)

Answer:

9

Step-by-step explanation:

1. Just input the x value with -180:

24 (+) -180 / 12 = answer

2. Follow PEMDAS to solve, which in this case division comes before addition:

24 + (-180 / 12)

24 + (-15)

3. Addition

24 + (-15) or 24 - 15

= 9

Therefore, 24 (+) -180 / 12 equals 9.

The third quadrant of the unit circle is the region of the circle that lies between 180 degrees and 270 degrees

The unit circle is a circle with a radius of 1 centered at the origin of the coordinate plane.

In the coordinate plane, the third quadrant is the quadrant that lies below the x-axis and to the left of the y-axis.

To find what is in the third quadrant of the unit circle, we need to look for the points on the circle that have negative x-coordinates and negative y-coordinates.

Since the radius of the unit circle is 1, we know that any point on the circle can be represented in terms of sine and cosine. Specifically, for any point (x, y) on the circle, we have:

x = cos(θ)

y = sin(θ)

where θ is the angle between the positive x-axis and the line connecting the origin and the point (x, y).

In the third quadrant, both the x-coordinate and the y-coordinate are negative. Therefore, we need to find the angle θ such that cos(θ) is negative and sin(θ) is negative.

We know that cos(θ) is negative in the second and third quadrants, and sin(θ) is negative in the third and fourth quadrants. Therefore, the third quadrant of the unit circle contains the points where:

cos(θ) is negative (i.e., θ is between 90 and 270 degrees or π/2 and 3π/2 radians), and

sin(θ) is negative (i.e., θ is between 180 and 360 degrees or π and 2π radians).

So the third quadrant of the unit circle contains all the points where:

-1 ≤ x ≤ 0 (cosine is negative in this quadrant), and

-1 ≤ y ≤ 0 (sine is also negative in this quadrant).

In other words, the third quadrant of the unit circle is the region of the circle that lies between 180 degrees and 270 degrees (or π and 3π/2 radians) and has both x and y values that are negative.

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First, do the prime factorization.

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The GCF is the product of their shared factors.

They share 2, 2, 2, and 3.

2 x 2 x 2 x 3 = 24.

Their GCF is 24.

The greatest common factor of the given numbers 96 and 72 will be equal to 24.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given number for GCF in the question,

Firstly, factorize the given numbers,

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The result of their shared factors is the GCF.

2 x 2 x 2 x 3 = 24.

Therefore, the GCF is 24.

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Answer:

1.  D

2. C

3. C

4. C

Step-by-step explanation:

1. Use slope formula, there are 2 versions: \(\frac{y1-y2}{x1-x2}\) and \(\frac{y2-y1}{x2-x1}\)

Plug in the values and solve

2.

y = -3 creates a horizontal line with a slope of 0, so it is wrong.

x = -2 has a vertical line with an unidentifed slope so it is correct.

3.

Divide everything by 2 and isolate y, then use the formula y = mx + b

(m is slope)

4. Use the slope formula again (look at question 1 for reference)

a. The 4 points are

b. The line is line AB

c. The 3 planes are

d. the three non-collinear points are

e.  The three non-coplanar points are

The question has to do with plane geometry

Plane geometry is geometry of shapes and flat surfaces

A point is an exact location in space that has no length, width or thickness.

By this definition, 4 points are

A line is a one-dimensional figure that has length but no width. It passes through two points.

By this definition, we have line AB passing through points A and B.

So, the line is line AB

A plane is a two-dimensional surface that has no thickness. It passes through at least 3 points

By this definition, we have

Three or more points are said to be non-collinear if they do not lie on the same line.

By this definition, the three non-collinear points are

Three or more points are said to be non-coplanar if they do not lie on the same plane.

By this definition, the three non-coplanar points are

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Using the equation of the circle, it is found that since it reaches an identity, the point (√5, 12) is on the circle.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

In this problem, the circle is centered at the origin, hence \((x_0, y_0) = (0,0)\).

The circle contains the point (-13,0), hence the radius is found as follows:

\(x^2 + y^2 = r^2\)

\((-13)^2 + 0^2 = t^2\)

\(r^2 = 169\)

Hence the equation is:

\(x^2 + y^2 = 169\)

Then, we test if point (√5, 12) is on the circle:

\(x^2 + y^2 = 169\)

\((\sqrt{5})^2 + 12^2 = 169\)

25 + 144 = 169

Which is an identity, hence point (√5, 12) is on the circle.

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Answer:

$16.00 * (100% + 8%) =  $17.28

Answer:

1133.98

Step-by-step explanation:

Answer:

1134

Step-by-step explanation:

There are 28.3495 grams per oz

28.3495 x 40 = 1133.98

Answer:

I think the answer is 35x⁴-10

Step-by-step explanation:

3x × 4x=12x²

3x × 5=15x

2 × 4x=8x

2 × -5=-10

15x+8x=23x²

12x²+23x²=35x⁴

35x⁴-10

Sarah practiced 7/20 of an hour more than Eloise

Given

Eloise did practice 2/5 of an hour

Sarah practiced for 3/4 of an hour

total time spent by Eloise = 2/5 x 60

                                           = 24 minutes

Total time spent by  Sarah = 3/4 x 60

                                             = 45  minutes

Hence Sarah spent 45-21 minutes more.

Sarah spent 21 minutes more than Eloise

Converting into fractions 21 minutes will be,

a/b x 60 =21

7/20 minutes

As a result, Sarah practiced the piano for 7/20 more minutes than Eloise.

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The conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).

Let E be the case where you choose the bogus coin and F be the case where you got heads twice. We wish to calculate P(E|F), which is the likelihood that you chose the fake coin given that you received heads twice.

By Bayes' theorem, we have:

P(E|F) = P(F|E)P(E) / P(F)

We can calculate each term on the right-hand side as follows:

P(F|E) = 1, Because the fake coin contains heads on both sides and always results in two heads when flipped.

P(E) = 1/n, since there is only one fake coin among n coins.

P(F) = P(F|E)P(E) + P(F|not E)P(not E), where not E is the event that you picked a normal coin. We can calculate:

P(F|not E) = (n-1) * (1/2)^2 = (n-1)/4, Because each normal coin has a 50% chance of revealing heads on each given flip and there are n-1 normal coins

P(not E) = (n-1)/n, since there are n-1 normal coins among n coins.

Therefore, we have:

P(F) = 1 * (1/n) + (n-1)/4 * (n-1)/n = (3n-1)/(4n)

Substituting these values into Bayes' theorem, we get:

P(E|F) = 1 * (1/n) / ((3n-1)/(4n)) = 4/(3n-1)

Thus, the conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).

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Answer:

sin22⁰=h/132

sin22⁰×132=h

h=49.44

h=49.4inches

If length of ramp of skateboard is 132 inch and angle is 22° then height of ramp is 49 inch

A triangle is a polygon with three edges and three vertices

Here in the given triangle

Perpendicular=h

Hypotenuse =132

angle=22°

So height of ramp can be calculated as

Sin 22°= Perpendicular/Hypotenuse

Sin 22°= h/132

h= 132\(\times\)sin 22°

h= 132\(\times\)0.37460659341

h=49.4480703301

\(h \approx49\) inch

If length of ramp of skateboard is 132 inch and angle is 22° then height of ramp is 49 inch

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Answer:

c. g

hope it helps simple question bro

Answer:

The answer is g

Step-by-step explanation:

if you count starting from zero all the way up to 3 2/3 you will land on the letter g. therefore the answer is g

350° and 350° - 360° are coterminal angles with magnitudes less than 2π.

What is coterminal?

In mathematics, two angles are called coterminal if they have the same magnitude (measure) but different orientations. This means that they represent the same angle but start from different points on the unit circle.

An angle is coterminal with another angle if it has the same magnitude but a different orientation. To find a positive angle less than 2π that is coterminal with a given angle, you can add or subtract multiples of 2π until you get an angle in the desired range.

For example, if the given angle is 350 degrees, you can subtract 2π from it to get a positive angle less than 2π:

350° - 360° = -10° + 360° = 350°

So, 350° and 350° - 360° are coterminal angles with magnitudes less than 2π.

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Answer:

i think it is Associative Property of Addition

Step-by-step explanation:

The area of the shape is 28km²

A triangle is a three sides polygon. The summof angle I'm a triangle is 180°. There are different types of triangle; Isosceles, Right ,equilateral triangle e.t.c.

The area of a triangle is expressed as;

A = 1/2 bh

where b is the base and h is the height of the triangle.

base = 10Km

height = 5.6 km

Area = 1/2 × 10 × 5.6

= 5 × 5.6

= 28km²

Therefore the area of the triangle is 28km²

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Answer:B

Step-by-step explanation:

Answer:

\(5 {g}^{2} - 11 {g}^{} + 8\)

Step-by-step explanation:

\(this \: is \: your \: answer \: ie \: option \: b \\ hope \: it \: helps \\ need \: thanks \: and \: brainliest...\)

A) The proportion of test takers who will score above 115 on the Wechsler Intelligence Scale for Children is approximately 0.1587.

B) The proportion of test takers who will score below 91 is approximately 0.0228.

C) The proportion of test takers who will score between 109 and 130 is approximately 0.5133.

D) The probability that a randomly selected child will score above 145 is very low, as it falls beyond the typical range of scores.

E) An intelligence score of approximately 124 will place a child at the 95th percentile.

The proportion of test takers who will score above 115 on the Wechsler Intelligence Scale for Children is approximately 0.1587. This means that about 15.87% of test takers are expected to achieve a score above 115. The Wechsler Intelligence Scale for Children follows a normal distribution with a mean of 100 and a standard deviation of 15, allowing us to determine the proportion of individuals scoring above a specific threshold.

Similarly, what is the likelihood of scoring below 91 on the test?

The proportion of test takers who will score below 91 on the Wechsler Intelligence Scale for Children is approximately 0.0228. This suggests that around 2.28% of test takers are expected to obtain a score below 91. The normal distribution characteristics of the test's scores enable us to estimate the proportion of individuals scoring below a given threshold.

The proportion of test takers who will score between 109 and 130 on the Wechsler Intelligence Scale for Children is approximately 0.5133. This implies that roughly 51.33% of test takers are expected to achieve scores within this range. Understanding the proportion of individuals falling within a specific score range helps us assess the performance of test takers and provides valuable insights into the distribution of intelligence scores.

The probability that a randomly selected child will score above 145 on the Wechsler Intelligence Scale for Children is very low. Scores above 145 are considered extremely rare, as they fall in the upper tail of the normal distribution. While the exact probability cannot be determined without additional information, it is safe to say that the likelihood of obtaining such a high score is significantly uncommon.

An intelligence score of approximately 124 on the Wechsler Intelligence Scale for Children will place a child at the 95th percentile. This means that the child's score is higher than 95% of the scores within the population of test takers. Achieving a score at the 95th percentile indicates a higher level of intellectual ability compared to the majority of individuals taking the test.

Additionally, what is the proportion of test takers scoring between 109 and 130?

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The statement A line of symmetry divides a figure into two equal halves in all aspects is true.

A line of symmetry does indeed divide a figure into two equal halves in all aspects. When a figure has a line of symmetry, it means that if you were to fold the figure along that line, both halves would match exactly. This implies that the two halves of the figure are mirror images of each other, and they are congruent in terms of shape, size, and all other aspects.

The concept of symmetry is widely used in various fields, including mathematics, art, and design. Figures that possess symmetry often have an aesthetically pleasing and harmonious appearance.

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