A parallelogram ABCD is shown with DC equal to 8 feet and the perpendicular distance between AB and DC equal to 3 over 4 foot. Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)

The Actual Question:

What do large differences of the means of each group indicate? Select the correct answer.

A. The large differences do not indicate any Significant meaning in the given context.

B. The peppers with different weights aren't properly distributed between the two groups.

C. There is not enough information to analyze the differences.

D. The peppers with different weights are properly distributed between the two groups

Answer:

B. The peppers with different weights aren't properly distributed between the two groups.

A quantity having a value intermediate between the values of other quantities; an average, especially the arithmetic mean.

The considerable discrepancies in the means of each group imply that: B. the peppers with varying weights are not adequately divided across the two groups.

So in the given situation above in the question, it can be concluded that large differences of the means from each group indicates that the peppers that are not properly distributed between the 2 different groups have different weights.

The answer is (x+4) (x-2) =x.x

Square (Rug A) has area x times x = x^2 (All sides of square are equal)

x is the side of Rug A

For the Rectangle (Rug B) it mentioned that it has a length of that is 4 ft greater than the length of Rug A. The expression could be written as Length = (x+4)

It also mentions that the width of Rectangle is 2 ft less than Rug A. The expression could be written as Width = (x-2)

So, if you multiply (x+4) and (x-2), will give you the area of rectangle (Rug B)

The question mentions that the area of the rectangle and square are equal, so therefore the answer is (x+4) (x-2) =x.x

Hope it helps!

Answer:

D. x^6 - x + √6

Step-by-step explanation:

Last option:

⇒  x^6 - x + √6

Cannot be simplified further and has three terms.

Therefore is a trinomial.

The algebraic expression that is a trinomial is 2x³-x².

An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

A trinomial is a polynomial that has three terms.

In the given options, the only expression that has three terms is "2x³-x²". It has the terms 2x³, -x², and 0x (which is often omitted).

The other options have different numbers of terms or they have terms with fractional or radical exponents, which do not fit the definition of a trinomial.

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1200 pounds of protein supplement and 600 pounds of standard protein is used.

Let a be the protein supplement and b be the standard protein.

Given that protein supplement and standard protein make 1800 pounds of high grade protein.

i.e., a+b = 1800 ------- (1)

45% a + 15% b = 35% 1800

0.45a + 0.15b = 1800 (3.5)

By (1), a = 1800 - b

Substituting, we get

0.45 (1800-b) + 0.15b = 630

810 - 0.45 b + 0.15b = 630

- 0.3 b = - 180

b = -180/-0.3

b = 600

Substituting b = 600 in (1),

we get

a = 1200.

Hence, 1200 pounds of protein supplement and 600 pounds of standard protein is used.

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Answer: (1, -10)

Step-by-step explanation:

Since both of the equations are set equal to y, we can conclude that:

[tex]-x^2 -5x-4=-x^2 + 9x-18\\\\-5x-4=9x-18\\ \\ -14x-4=-18\\\\-14x=-14\\\\x=1[/tex]

If x=1, then [tex]y=-(1)^{2}+9(1)-18=-10[/tex]

Thus, the solution is (1, -10)

Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.

Triangle ABC and triangle RQP are similar based on side-angle-side criterion.

An equation is an expression that shows the relationship between two or more numbers and variables.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.

Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.

Triangle ABC and triangle RQP are similar based on side-angle-side criterion.

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The graph is: On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5

A cubic function in mathematics is one with the formula f(x)=ax3+bx2+cx+d, where aneq 0 and the coefficients a, b, c, and d are complex numbers, and the variable x has real values. In other words, it is a real function as well as a polynomial function of degree three.

The function we have is:

y = ∛(x - 5)

So cubic root is given

Here we notice that when x = 0, we have:

y = ∛-5, this is the y-intercept

And when x = 5 we have:

y = ∛0 = 0 which is the x-intercept, and also the inflection point because here we have the change of sign.

Hence option which describes graph best is On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5

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Answer:A

Step-by-step explanation: Edge 2022

The answers are

1). warmer

2). higher

3). end behavior

A refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings.

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.

The graph for the question given below.

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Answer:

1) D because the answer to 8.42*10^3=8420

and 8420 lies between 8400 and 8500

2) C because when you take the absolute value of -2.3 and -3.2, they become positive numbers => 2.3 < 3.2

3)D because 6 < 6.3 < 6.6

Hope it helps!

Answer:

Step-by-step explanation:

Use interest formula:

Substitute given values and calculate:

Answer:

$ 380

Step-by-step explanation:

We can use the below formula to find the simple interest.

Simple interest = P r t ÷ 100

Here,

P ⇒ Principal ⇒ $ 9500

r ⇒ rate ⇒ 2%

t ⇒ time ⇒ 2 years

Let us solve it now.

Simple interest = P r t ÷ 100

Simple interest = 9500 × 2 × 2 ÷ 100

Simple interest = 38000 ÷ 100

Simple interest = $ 380

The point on the number line represents the product (- 4), (- 2), and (- 1) will be the negative 8. Then the correct option is A.

It is also known as the product. If the object n is given to m times, then we just simply multiply them.

The point on the number line represents the product (- 4), (- 2), and (- 1) will be

Then the product will be

-4 x -2 x -1 = -8

Then the correct option is A.

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The value of the investment in 5 years is $5805.9

Interest is the amount earned over years for the amount invested.

It is given that

Principal = $5000

Rate = 3%

Compounded Quarterly

Time = 5 years

Amount = ?

The Amount is given by the formula

Amount = P( 1 + (r/n))ⁿˣ

Here n = t = time period for which the investment has been done.

Amount = 5000( 1+(3/4 * 100)⁴ˣ⁵

Amount = 5000 (1.16)

Amount = $ 5805.9

Therefore , The value of the investment in 5 years is $5805.9

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The missing reason in Step 8 is substitution

When a triangle is not a right triangle and when either the lengths of two sides and the measurement of the included angle are known (SAS) or the lengths of the three sides are known (SSS), the Law of Cosines is used to discover the remaining pieces of the triangle.

According to the law of cosine, if a, b, and c are any triangle's three sides, then a² = b² + c² - 2bcosa

The x in statement 5 of the preceding proof is changed to c cos A from statement 6 in statement 8 of the proof.

Option C, from the list of alternatives, is the one that best explains statement 8.

Hence  missing reason in Step 8 is substitution

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Answer: OPTION C

Step-by-step explanation:

EDGE22

The population in the year 2023 is 120,780.

The growth is linear hence, the equation of the growth is
y=ax+b where b represents the initial population and a is the number of people growing yearly.

So, according to the question statement, we have that

y=280x+b where x is the number of years past and y is the population in the xth year.

According to the given problem population in 2022 will be 120,500.

Suppose that the initial population is taken at 2000.

Hence, 120,500=280×(2022-2000)+b

⇒b=120,500-280×22

⇒b=120,500-6,160

    =114,340

So, the Linear equation becomes

y=280x+114,340

⇒y=280×(2023-2000)+114,340

⇒y=120,780

Hence, the population in the year 2023 is 120,780.

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Step-by-step explanation:

[tex]f(x) = 5x - 1[/tex]

[tex] \: [/tex]

[tex]y = 5x - 1[/tex]

[tex]5y - 1 = x[/tex]

[tex]5y = x + 1[/tex]

[tex]y = \frac{x + 1}{5} [/tex]

[tex] {f}^{ - 1} (x) = \frac{x + 1}{5} [/tex]

The complete question is

"Write the inequality when 3 is less than w and 9 is greater than w."

The inequality become as 3 < w < 9.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given information ;

when 3 is less than w and 9 is greater than w.

Thus, the inequality will be ;

3 < w < 9

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Answer : C. 512

step-by-step explanation :

[tex]\qquad\qquad\qquad\boxed{\bf\:\: \: (c) \: 512}[/tex]

[tex] \purple{\bold{\underline{\underline{ Cube \: of \: 8 \: is = 512:}}}}[/tex]

[tex]\red{\bold{\underline{\underline{so \: option \:( c ) \: is \: correct \: \: :}}}}[/tex]

[tex]\orange{\bold{\underline{\underline{ more \: additional \: information \: :}}}}[/tex]

To find Cubes -:

To find Cube Root -:

Step-by-step explanation:

length = breadth + 5

the perimeter is a rectangle is

2×length + 2×breadth

in our case

2×length + 2×breadth = 74

so, we use the first equation in the second equation :

2×(breadth + 5) + 2×breadth = 74

2× breadth + 10 + 2× breadth = 74

4×breadth = 64

breadth = 16 m

length = breadth + 5 = 16 + 5 = 21 m

Answer:

B) 8cm, 15cm, 17cm

Step-by-step explanation:

We will use angle sum property for this question. (Angle sum property means the addition of the 2 smallest sides have to be larger or equal to the biggest side)

We will try it with all the options.

Option A) 5+8=13. Which is not greater then 17 so it cant be a right triangle.

Option B) 8+15=23. Which is greater then 17 so it can be a right triangle

Hope I helped

Answer:

33.33%

Step-by-step explanation:

from 7 to 9 it's 2 hours and you make 500
and 7 to 11 is 4 hours so you make 1000
then do 1000/3000 to find the percentage you have made
1000/3000 is 33.3333333333...% (the 3333.... never ends)

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos

An equation is an expression that shows the relationship between two or more numbers and variables.

One U.S. dollar = 19.61 Mexican pesos

a) 149.23 pesos = 149.23 pesos * One U.S. dollar per 19.61 Mexican pesos = 7.61 dollars

b) 63.64 dollars = 63.64 dollars *  19.61 Mexican pesos per dollar = 1247.98 pesos

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos

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College students (ages 18-26) tend to make decisions that are tentative (more short-range) and support a desire for autonomy. This depicts more permanent choices.

It should be noted that values are a compass that helps us make decisions and choices.

Choices characterize the stage of life we are in. For example 18-26 ages tend to make tentative choices, later 27-31 ages tend to make permanent choices, and ages 32-42 people make stable choices.

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Answer:

[tex]\large \boxed{ \tt{y = - 2x + 5}}[/tex]

Step-by-step explanation:

From the y-intercept og [tex][0,5][/tex], travel five unit south over two unit east. Doing so will get yoy to the endpoint of [tex][1,3][/tex], which tells you that the rate of change is [tex] - 2[/tex], Therefore, your equation, in Solpe Intercept Form , is [tex]y = - 2x + 5[/tex]

[tex] \\ [/tex]

#CarryOnLearning

[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]

[tex]\leadsto[/tex] Using the slope-intercept form:

▪ [tex] \bold{y = mx + b}[/tex]

▪ [tex] \bold{y = mx + 5}[/tex]

Finally, we are going to use any point of the line. In this case, I am going to take the point (2, 1). Substituting,

[tex] \sf \longrightarrow{1 =m*2+5}[/tex]

[tex] \sf \longrightarrow{1 - 5 = 2m}[/tex]

[tex] \sf \longrightarrow{ m= - \dfrac{4}{2} = - 4 }[/tex]

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

[tex]\large\boxed{\sf y = 2x + 5}[/tex] ✓

Answer:

  (d)  The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

We assume you intend ...

  f(x) = equation of a parabola

  g(x) = 2/3·f(x)

Multiplying a function by a factor of 2/3 will cause it to be compressed vertically to 2/3 of its original height. When the function is a parabola, this has the effect of making it appear wider than before the compression.

__

The compression factor is positive, so points on the graph remain on the same side of the x-axis. The direction in which the graph opens is not changed.

The attachment shows parabolas that open upward and downward, along with the transformed version.

Answer:

D.)  The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

I got it right on the test :)

stay hydrated.

Answer: Choice B) One-sixth

In other words, the fraction 1/6

===========================================================

Explanation:

The base, aka horizontal component, is 6 units long. Count out the spaces from -5 to 1 to get a result of 6.

Or you could subtract and use absolute value in either of these two ways

Where A = -5 and B = 1 are the endpoints mentioned. Absolute value is used to ensure the result of the subtraction isn't negative. Negative distance on a number line doesn't make sense.

----------

However you determine the base, we'll multiply it by the unknown height which we'll call h. This leads to the area of the rectangle. The area is 6h.

Rule: The area under a probability density curve must always be 1.

So the area 6h must be 1 which helps us see that...

6h = 1

h = 1/6

Divide both sides by 6 to isolate h fully.

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The slope of the graph is 4/5

Using the formula

Slope = Δ y-axis / Δ x- axis

y2 = -4

y1 = 0

x2 = -5

x1 = 0

Slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Substitute the values into the formula

Slope = [tex]\frac{-4 - 0}{- 5 - 0}[/tex]

Slope = [tex]\frac{-4}{-5}[/tex]

Slope = [tex]\frac{4}{5}[/tex]

Therefore, the slope of the graph is 4/5

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I'll use the method of transformations.

If [tex]f_X(x)[/tex] denotes the PDF of [tex]X[/tex], and [tex]y=g(x)=x^3 \iff x=g^{-1}(y) = y^{1/3}[/tex], we have

[tex]f_Y(y) = f_X\left(g^{-1}(y)\right) \left|\dfrac{dg^{-1}}{dy}\right|[/tex]

[tex]\dfrac{dg^{-1}}{dy} = \dfrac13 y^{-2/3}[/tex]

[tex]\implies f_Y(y) = f_X\left(y^{1/3}\right) \left|\dfrac13 y^{-2/3}\right| = \boxed{\begin{cases} \dfrac53 y^{2/3} & \text{if } 0 \le y \le 1 \\ 0 & \text{otherwise} \end{cases}}[/tex]

Answer:

A,E

Step-by-step explanation:

Answer:

x = 3
x = -8

Step-by-step explanation: