85 POINTS ASAP 85 POINTS ASAP Polygon ABCD with vertices at A(1, −1), B(3, −1), C(3, −2), and D(1, −2) is dilated to create polygon A′B′C′D′ with vertices at A′(2, −2), B′(6, −2), C′(6, −4), and D′(2, −4). Determine the scale factor used to create the image.

one fourth
one half
2
4

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

Answer:

x=36

Step-by-step explanation:

(3x+3)^0+x+54= 90

x+54=90

x=90-54

x=36

Answer:

Scalene

Step-by-step explanation:

Answer:

look at attached image!

Step-by-step explanation:

All the stock was issued on the same date, which means that the information in the capital stock subsection would include the total number of shares issued and the par value assigned to each share. This information helps to determine the total equity contributed by the stockholders to the company.

In the capital stock subsection of the stockholders' equity section, the main answer is the information regarding the issuance of stock. This includes the number of shares issued and the par value per share.

The capital stock subsection shows the equity contributed by the stockholders through the issuance of stock. It provides details about the number of shares issued and the par value assigned to each share. Par value is the nominal value of each share set by the company at the time of issuance.

all the stock was issued on the same date, which means that the information in the capital stock subsection would include the total number of shares issued and the par value assigned to each share. This information helps to determine the total equity contributed by the stockholders to the company.

To know more about value visit:

https://brainly.com/question/30145972

#SPJ11

The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

Read more about transformation at: https://brainly.com/question/4289712

#SPJ1

Pua will use 13, 1/4 cups of oatmeal.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Pua needs 3\(\frac{1}{4}\) cups of oatmeal.

The number of 1/4 cups of oatmeal,

she will use,

= 13/4 ÷ 1/4

= 13

Therefore, she will use 13 cups.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

The equation of line given in the graph is, y = -4/3x.

What is equation of line?

How to calculate the equation of a line starting from two points:

The slope formula can be used to determine the slope.

The y-intercept (b) can be calculated using the slope and one of the points.

When you have the values for m and b, you can use them to solve for the line's equation in the slope-intercept form (y = mx + b).

The given line passes through the points (0, 0) and (3, -4)

So, the slope of the line is,

\(m = \frac{y_2-y_1}{x_2-x_1} = \frac{-4-0}{3-0} = -\frac{4}{3}\)

Now y - intercept is the point where line crosses the y - axis.

Line crosses the x - axis at (0, 0)

Hence, the y - intercept is b = 0.

Plug m = -4/3 and b = 0 in equation y = mx + b

⇒  y = -4/3x + 0

    y = -4/3x

Hence, the equation of line given in the graph is, y = -4/3x.

To know more about equation of line, click on the link

https://brainly.com/question/25969846

#SPJ1

A truth table is a table that shows the output of a logical expression for all possible combinations of input values.

(a) Truth table for f(x, y, z) = x + y + z:

x y z f(x, y, z)

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 1

1 0 0 1

1 0 1 1

1 1 0 1

1 1 1 1

(b) Canonical DNF for f(x, y, z) using the truth table:

f(x, y, z) = (¬x ∧ ¬y ∧ z) ∨ (¬x ∧ y ∧ ¬z) ∨ (¬x ∧ y ∧ z) ∨ (x ∧ ¬y ∧ ¬z) ∨ (x ∧ ¬y ∧ z) ∨ (x ∧ y ∧ ¬z) ∨ (x ∧ y ∧ z)

(c) Canonical CNF for f(x, y, z) using the truth table:

f(x, y, z) = (x ∨ y ∨ z) ∧ (x ∨ y ∨ ¬z) ∧ (x ∨ ¬y ∨ z) ∧ (x ∨ ¬y ∨ ¬z) ∧ (¬x ∨ y ∨ z) ∧ (¬x ∨ y ∨ ¬z) ∧ (¬x ∨ ¬y ∨ z)

what is combinations?

Combinations refer to the number of ways in which a subset of elements can be selected from a larger set, disregarding the order of the elements. The formula for combinations is:

nCk = n! / (k! * (n - k)!)

where n is the total number of elements in the set, k is the number of elements in the subset, and ! denotes the factorial function (i.e., the product of all positive integers up to and including the given integer).

To learn more about  combinations visit:

brainly.com/question/19692242

#SPJ11

The minimum sample size needed is 93.

Given:

A political researcher takes a survey of 300 randomly selected registered voters in atlanta, and each person was asked who they plan on voting for in the 2020 mayoral election. 101 said they plan on voting for candidate a, 184 said they plan on voting for candidate b, and 15 were unsure or plan to vote for another candidate. In question 8, the political researcher estimated p, the population proportion of all registered voters in atlanta who plan to vote for candidate a, with a 95% confidence interval. The researcher now wants to estimate p with a margin of error of 3%.

here

n = 101

p = 0.5

e = 5%=0.05

z score at 95% = 1.96

\(n'=\frac{n}{1+\frac{z^2*p(1-p)}{e^2} }\)

On submitting and solving using calculator

n = 93

Learn more about the sample size here:

https://brainly.com/question/28044641

#SPJ1

The total length of the railing is 48 feet

The area of the square deck is given as:

Area = 256 square feet

Take the square root of both sides to determine the length of the deck

Length = √256 feet

This gives

Length = 16 feet

He wants to cover three sides.

So, the total length is

Total = 3 * Length

Total = 3 * 16 feet

Total = 48 feet

Hence, the total length of the railing is 48 feet

Read more about area at:

https://brainly.com/question/24487155

#SPJ1

Answer:

In Step 4, the inequality sign should be flipped.

Step-by-step explanation:

Whenever you multiply or divide both sides of an inequality by a negative number, you need to flip the inequality sign. So, in Step 4, when you divide both sides by -10, the sign should be flipped.

The final answer should be:

\(\frac{-27}{10} \geq x\)

Answer:

1/-4 <= x

Step-by-step explanation:

1x/3 + 9 <= -3x

9 <= -3x -1x/3

9/9 <= (-3x -1x)/9

1 <= -4x

1/-4 <= x

Answer:

2/3

Step-by-step explanation:

rise over run

up and over

Answer:

2.3a + 0.8a =

2.3

+ 0.8

________

3.1

________

So therefore, 2.3a + 0.8a = 3.1a

Answer:

D. \( r = \sqrt[3]{\frac{15V}{2\pi}} \)

Step-by-step explanation:

Given:

Volume of each wedge, \( V = \frac{2}{15}\pi r^3 \),

Required:

Solve for r (i.e. make r the subject of the formula)

SOLUTION:

\( V = \frac{2}{15}\pi r^3 \)

Multiply both sides by 15

\( 15*V = 15*\frac{2}{15}\pi r^3 \)

\( 15V = 2\pi r^3 \)

Rewrite the equation

\( 2\pi r^3 = 15V \)

Divide both sides by 2π

\( \frac{2\pi r^3}{2\pi} = \frac{15V}{2\pi} \)

\( r^3 = \frac{15V}{2\pi} \)

Take the cube root of both sides

\( \sqrt[3]{r^3} = \sqrt[3]{\frac{15V}{2\pi}} \)

\( r = \sqrt[3]{\frac{15V}{2\pi}} \)

Answer:

volume of the prism=(1/2×(6+12)×4)×10

=36×10

=360 cm³

Step-by-step explanation:

Diagonals are congruent.

C) Diagonals are perpendicular.

D) Diagonals bisect the angles.

Answer:  D. All triangles with 3 equal sides

Step-by-step explanation:

Remember, congruence means that the sides are equal and also the corresponding angles:

A) Quadrilaterals with 4 equal angles.

Here we can have, for example, a lot of different rectangles and squares, because all of them have only 45° angles, but a square is not congruent with a rectangle, so this option is not correct.

B) Triangles with 3 equal angles.

Think in the triangles, the 3 angles are 60°,

But we can craft this angle with a lot of different side lengths, so this is not the correct option, so not all the triangles with equal angles are congruent, then this option is incorrect.

C) Quadrilaterals with 4 equal sides: Here we can have a square, or a rhombus, or a parallelogram, so this option is also incorrect.

D) Triangles with 3 equal sides:

Now, we have the set of all the triangles where the length of the 3 sides is the same.

Now, if you have 3 knowed lenghts (the ones shared by the set of triangles) you can only create one triangle with them, this is known as the SSS criterion of congruence for triangles. This is the correct option.

Answer:

Which one does not belong to the group

The equations equivalent to 2.3p – 10.1 = 6.5p – 4 – 0.01p are;

The correct answer is option B and C

2.3p – 10.1 = 6.5p – 4 – 0.01p

collect like terms

2.3p - 6.5p + 0.01p = -4 + 10.1

-4.19p = 6.1

p = 6.1/-4.19

p = -1.46

2.3p – 10.1 = 6.5p – 4 – 0.01p

= 2.3p – 10.1 = 6.49p – 4

Given options:

2.3p – 10.1 = 6.4p – 4

False

2.3p – 10.1 = 6.49p – 4

True

230p – 1010 = 650p – 400 – p

divide through by 100

= 2.3p – 10.1 = 6.5p – 4 – 0.01p

True

23p – 101 = 65p – 40 – p

False

2.3p – 14.1 = 6.4p – 4

False

Therefore, 2.3p – 10.1 = 6.49p – 4; 230p – 1010 = 650p – 400 – p are equivalent to 2.3p – 10.1 = 6.5p – 4 – 0.01p.

Read more on properties of equation:

https://brainly.com/question/28293087

#SPJ1

Pair 2 shows one figure rotated 180 degrees compared to the other, and translated as well. So they are congruent (ie the same).

Pair 4 shows one triangle reflected over the vertical line x = 22 to get the other triangle; which shows they are the same triangle.

The other pairs are not congruent. You can show that the areas of each figure being different is enough to prove they aren't the same figure.

The following number in the series is 48.

Arithmetic Progression (AP) is a number sequence in which the difference between any two consecutive numbers is a constant value.

Given first five terms of a sequence are 3,8, 15, 24, 35

On examining the series we see:

3 - 0 = 3

8 - 3 = 5

15 - 8 = 7

24 - 15 = 9

35 - 24 = 11

The increments are an arithmetic progression with the first term being 3 and the difference being 2.

The next term (sixth term) is 13.

Hence the next number of the series 3, 8, 15, 24, and 35 is 35 + 13 = 48

Therefore the next number in the series is 48

To learn more about arithmetic progression visit

https://brainly.com/question/24873057

#SPJ1

Step-by-step explanation:

This statement ''The proportion in the body of a normal distribution can never be less than 0.50.'' is false because the proportion in the body of a normal distribution can be less than 0.50, depending on the location of the mean and the spread of the distribution.

In fact, for a normal distribution with a mean of μ and standard deviation of σ, approximately 68% of the area under the curve falls within one standard deviation of the mean (i.e., between μ - σ and μ + σ), which means the proportion in the body of the distribution is about 0.68.

The remaining 32% is split evenly between the tails of the distribution, which means the proportion in each tail is about 0.16.

So, the proportion in the body of the distribution is greater than 0.50.

To know more about normal distribution refer here:

https://brainly.com/question/15103234#

#SPJ11

The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To learn more about the domain and range visit:

https://brainly.com/question/26098895

#SPJ4

Answer:

3 5/12

Step-by-step explanation:

Answer:

41/12 gallons

= 3 5/12 gallons

Step-by-step explanation:

Since it can hold 8 1/4 gallons and currently has 4 5/6 gallons, you subtract.

You need to get the common denominator to subtract cleanly so we can turn the fractions into improper fractions.

8 1/4 = 33/4 because 8 is equal to 8 full 4/4ths so multiply 8 by 4 and add 1 for the remaining 1/4.

Then 4 5/6 becomes 29/6 with the same concept earlier.

So we can change the denominator to 12 on both fractions (33/4 and 29/6) so we can subtract.

33/4 becomes 99/12 because they are still equivalent, it's just that you multiplied the top and bottom by the same number.

29/6 becomes 58/12 because we multiplied the fraction by 2/2.

Those two new fractions stated previously are the same as the original because we multiplied them by 1/1, because 3/3 and 2/2 is still equal to 1/1, and the new fractions can be simplified down to the original.

Since we have 99/12 and 58/12, we can subtract cleanly into

99 - 58 = 41

So the answer is 41/12

The additive inverse of (-4x - 8)  is  4x+8.

What is Additive Inverse?

Additive inverse refers to any number that when added to the original number gives the result as zero. For instance, the additive inverse of 8 is -8 as 8 + (-8) = 0. It is possible to get the additive inverse of negative numbers too. For example, the additive inverse of -10 will be 10 as -10 + 10 = 0.

The additive inverse of any given number can be found by changing the sign of it. The additive inverse of a positive number will be a negative, whereas the additive inverse of a negative number will be positive. However, there will be no change in the numerical value except the sign. For example, the additive inverse of 8 is -8, whereas the additive inverse of -6 is 6.

The addition of a number and its additive inverse is equal to the additive identity.

we know that (-4x - 8)  +  (4x+8) = 0 .

Hence, The additive inverse of (-4x - 8)  is  4x+8.

Learn more about Additive Inverse at :

https://brainly.com/question/1548537

#SPJ1