Dylan was driving his brand new car. Stopped at a red light, Dylan was in a rush to get to school. Below is a table that represents seconds after the light turned green and Dylan's velocity. What is the average rate of change between 6 seconds and 10 seconds?

The coordinates of the vertices after the reflection over the x-axis are A' (2, -3) B' (4, 5) and C' (-1, -2)

Given,

A triangle ABC with vertices A(2,3) , B(4,-5), and C(-1,2)

To find the coordinates of the vertices of each figure after a reflection over the given axis.

Now, According to the question:

We should know that:

You should know that you can predict changes in coordinates after translations without a graph or anything like that.

(x, y) reflected over the x axis = (x, -y)

(x, y) reflected over the y axis = (-x, y)

(x, y) rotated 90 degrees around the origin = (y, -x)

(x, y) rotated 180 degrees around the origin = (-x, -y)

(x, y) rotated 270 degrees around the origin = (-x, y)

So here's our set of points.

A(2,3) , B(4,-5), and C(-1,2)

Here's those points reflected over the x axis.

A' (2, -3) B' (4, 5) and C' (-1, -2)

Hence, The coordinates of the vertices after the reflection over the x-axis are A' (2, -3) B' (4, 5) and C' (-1, -2)

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(a) -5

(b) \(a_n=-2(-5)^{n-1}\)

(c) \(a_{11}=2(-5)^{11-1}=19531250\)

Answer:

y = 3/2x + 7

Step-by-step explanation:

Because the ordered pair (0, 7) can be considered the y-intercept, all you have to do is replace the +5 with +7 to represent the new y-intercept. The slope stays the same as the lines are parallel.

Answer:

Step-by-step explanation:Charmaine wanted to study how the area of a rectangle changes with the length if its width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then plotted the results and connected them with a line, as shown below. The graph shows the area (in ) versus the length (in ).

Find the range and the domain of the function shown.

Answer:

one solution i really hope this helps

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

i took the test

Answer:

m=7

Step-by-step explanation:

subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.

Answer: m=7

Step-by-step explanation:

\(5m+35=70\)

subtract 35 on both sides

\(5m+35-35=70-35\)

\(5m=35\)

divide 5 on both sides

\(35/5=7\)

\(m=7\)

The total price of the hat including the tax is $ 16.9494 .

How to calculate percentage and how is it determined?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
Mathematically, Percentage formula = (Value/Total value) × 100

Given, cost price of hat (total value) = $ 15.99
Percentage tax imposed on the hat = 6%
Now, using the formula established in the literature above, we have:
Percentage = (Value/Total Value)×100
⇒ Value = (Percentage × Total Value)/100 = (6×15.99)/100 = $ 0.9594
Therefore, the total price of hat = Cost Price + Value = $ (15.99 + 0.9594) = $ 16.9494
Thus, the total price of the hat including the tax is $ 16.9494 .

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Answer:

1 - Square pyramid

2 - Cube

3 - Right triangular pyramid

4 - Rectangular pyramid

5 - Triangled pyramid

Step-by-step explanation:

Hope this helps

Maybe brainliest?

Answer:

Step-by-step explanation:

cube 2

rectangle prism 3

right triangle prism 4

square pyramid 1

triangular pyramid 5

Answer:

b

Step-by-step explanation:

trust me

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let Colin - x, Dan - y, David - z.

We have:

Substitute and solve for z:

Now find x and y:

Answer:

£12

Step-by-step explanation:

Let the David's money be x

If David gets = x

Dan will get = 3x

Colin gets = 3x x 2

= 6x

So, the total money can be write as

\(x + 3x + 6x = 10x\)

So, now let's find the amount of money which David have

\(10x = 20 \\ \frac{10x}{10} = \frac{20}{10} \\ x = 2\)

So, David will get £2

And now let's find the amount of money which Colin will get

\(6x = 6 \times 2 \\ = 12\)

He will get £12

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

\(22\)

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for \(?\):

\(\frac{28}{42}=\frac{?}{33}\) (divide corresponding sides)

\(\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}\)

It would have cost $ 26.25 to fill the same gas tank in 2015.

Given that it cost $ 12 to fill up a gas tank in 1985, to determine how much it would have cost to fill the same gas tank in 2015, the following calculation must be performed, knowing that the average price of a gallon of gasoline was $ 1.12 in 1985 and $ 2.45 in 2015:

Therefore, it would have cost $ 26.25 to fill the same gas tank in 2015.

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In hypothesis testing, α (alpha) and β (beta) are the probabilities of making Type I and Type II errors, respectively. Type I errors occur when the null hypothesis is rejected even though it is true, while Type II errors occur when the null hypothesis is not rejected even though it is false.

Without more context, it is difficult to say definitively what the sum of the values of α and β refers to.

However, based on the options provided, it seems that this question may be related to hypothesis testing.

The sum of α and β is related to the power of a statistical test, which is the probability of correctly rejecting a false null hypothesis.

Specifically, the power of a test is equal to 1 - β (i.e., the probability of correctly rejecting a false null hypothesis) when α is fixed.

Therefore, the sum of α and β is not always 1, is necessary for hypothesis testing, and does not give the probability of taking the correct decision.

It is also not always equal to 0.5, as this would only be the case if both Type I and Type II errors were equally likely, which is not always true.

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The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.

Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}

We have to use the formula an = -6 an-1 to find the next terms.

The first term a1 is given to us. So, a1 = -9

We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54

Thus the first two terms of the sequence are {-9, 54}.

We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324

Thus the first three terms of the sequence are {-9, 54, -324}.

We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944

Thus the first four terms of the sequence are {-9, 54, -324, 1944}.

We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664

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Answer:

its 13 or B

Step-by-step explanation:

Answer:

p=2.5t

Step-by-step explanation:

p stands for pages

2.5 is how long it takes him to read 1 page

t is the time

the reason why the t is next to 2.5 is so when you replace t with the actual time, you would multiply it by 2.5 to get how many pages he read in any amount of time

Answer:

surplus each month of $294.83

Step-by-step explanation:

Given monthly expenditure:

⇒ total monthly expenditure = 2009 + 653 + 419 = $3,081

Given annual income:

⇒ total monthly net income = 40510 ÷ 12 = $3,375.83 (nearest cent)

Comparing the monthly income and expenditure, we can see that he earns more than he spends, so there will be a surplus.

⇒ total monthly net income - total monthly expenditure

    = 3375.83 - 3081 = $294.83

So there is a surplus each month of $294.83

Each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

The elements of D8 are 1, r,\(r^2, r^3, s, sr, sr^2, sr^3,\) which we can label with the integers 1, 2, 3, 4, 5, 6, 7, 8 respectively. The left regular representation of D8 into S8 is given by:

1 → (1)(2)(3)(4)(5)(6)(7)(8)

r → (1 2 3 4)(5 6 7 8)

\(r^2\) → (1 3)(2 4)(5 7)(6 8)

\(r^3\)→ (1 4 3 2)(5 8 7 6)

s → (1 2)(3 4)(5 6)(7 8)

sr → (1 8 3 6)(2 7 4 5)

\(sr^2\)→ (1 4)(2 3)(5 8)(6 7)

\(sr^3\) → (1 6 3 8)(2 5 4 7)

Here, each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

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We have exhibited the image of each element of D8 under the left regular representation into S8, represented as a product of disjoint cycles.

The left regular representation of D8 is a homomorphism from D8 to the symmetric group S8, where each element of D8 is represented as a permutation of the set {1, 2, ..., 8}.

Using the generators r and s, we can construct the elements of D8 as follows:

\(r^0\) = 1

\(r^1\)= r

\(r^2\) = rr

\(r^3\) = rrr

\(s^0\)= 1

\(s^1\) = s

\(s^2\) = 1

\(s^3\) = ss

Now, let's apply the left regular representation to each element of D8:

1 → (1 2 3 4 5 6 7 8)

r → (1 2 3 4 5 6 7 8)(1 2)

\(r^2\) → (1 2 3 4 5 6 7 8)(1 3)(2 4)

\(r^3\)→ (1 2 3 4 5 6 7 8)(1 4 3 2)

s → (1 8)(2 7)(3 6)(4 5)

sr → (1 7 3 5)(2 8 4 6)

\(sr^2\) → (1 6 3 2)(4 7 5 8)

\(sr^3\) → (1 5)(2 6)(3 7)(4 8)

Note that we can represent each permutation as a product of disjoint cycles, where each cycle corresponds to an orbit under the action of the permutation. For example, the permutation corresponding to r is a product of two cycles: (1 2) and (3 4 5 6 7 8). This means that r fixes the elements 1 and 2, and permutes the elements 3, 4, 5, 6, 7, and 8 cyclically. Similarly, the permutation corresponding to s is a product of four cycles: (1 8), (2 7), (3 6), and (4 5), which means that s fixes the pairs (1, 8), (2, 7), (3, 6), and (4, 5), and transposes each pair.

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Answer:

10 - 9 + 12x = 4x - 9 + 8x

x - 6 = 6 - x

1/2 (6x + 5) = 3x + 2.5

Answer:

7^11

Step-by-step explanation:

You keep the base the same while just adding the exponents.

Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

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The correct answer is option b. 1/36 is the expected value (Lesson 8.3: Unbiased Point Estimation. If X1, of the sample variance S2.

In unbiased point estimation, the expected value of the sample variance S2 is a crucial idea. When a sample is drawn from a population repeatedly, an average value of S2 is what is anticipated.

The population variance divided by the sample size represents the expected value of S2. It is, in other words, the population variance divided by n-1, where n is the sample size.

As a result, the expected value of the sample variance S2 for a sample size of 6 is equal to 1/36.

As a result, when a sample is drawn from a population repeatedly, the average value of S2 will be equal to 1/36 of the variance in the population.

Complete Question:

What is the expected value (Lesson 8.3: Unbiased Point Estimation. If X1, of the sample variance S2?

a. 1/6

b. 1/36

c. 6

d. 36

e.60

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Answer:

linear

Step-by-step explanation:

A linear function has a straight line. If you graph this is a straight diagonal line. A linear function has a independent and dependent variable. The independent variable is x, and the dependent variable is y.

Answer:

NONLINEAR i took the k12 quiz

Step-by-step explanation:

Answer:

x=-303

Step-by-step explanation:

Answer:

x=60

Step-by-step explanation:

The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)

\(2x=120\\x=60\)

Hope this helps! :)

Answer:

\({ \red{ \bold{ = 1 \times 10 {}^{4}}}}\)

Step-by-step explanation:

Step 1: Write the initial number as a product of its first digit and matching place value

\( {\red {\bold{10 \: 000 = 1 \times 10 \: 000}}}\)

Step 2: Write 10000 as 10 to the power of 4

\({ \boxed{ \red{ \bold{10 \: 000 = 1 \times 10 {}^{4}}}}}\)

Hence, This is the expanded form with exponents of the initial number !