2. Determine whether quadrilateral EFGH can
be classified as a parallelogram.
Justify your reasoning.

Now consider quadrilateral EFGH shown

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.

The question can be interpreted that the particular number has the same digit  which is seen in hundreds place  hence  hundredths place.

we can then represent the digit  as '1'.

The value of number's hundreds place can be represented as  100

we can as well represent the number's hundredths place as 0.01

the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000

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missing options:

A. 100,00

B. 100

C. 1,000

D. 10,000

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

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For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

As given in the question,

Rules to round of nearest thousand are:

Check the near by hundred digit :

Given is the actual ticket rates of the different events tickets sales ,round off to the nearest thousand is given by:

 Events                                         Nearest thousand

Therefore, For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

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Answer:

I don't see your shape but try and divide your shape into shapes that you can find the areas of.

Step-by-step explanation:

Answer:

49.680

Step-by-step explanation:

the tenth is not small

Answer: a lot

Step-by-step explanation:

Answer:

ummmm none? maybe

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

5pg=5%

100pg=100%

\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)

Answer:

at 2: 00 PM constant speed may 4:00 constant speed

Step-by-step explanation:

makatulong po ba

The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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The given shape is a trapezoid with "bases" 15 and 45, and height 10. So its area is

(15 + 45)/2 • 10 = 300

The simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

The given expression is simplified as follows;

The given expression is written as;

ab³/a⁴b  +  (c²)³

To simplify the expression given above, we will divide the fraction with the common factor as follows;

From the numerator; ab³, we will factor out "ab"

From denominator; a⁴b, we will factor out "ab"

The resulting expression becomes;

ab³/a⁴b  +  (c²)³

= b²/a³  +  c⁶

Note: for the power of c, we simplify by multiplying 2 and 3 = 6

Thus, the simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

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Answer:

Step-by-step explanation:

True.

To calculate Jane's debt-to-income ratio, we need to divide her total liabilities by her total income. However, the prompt only gives us the sum of Jane's assets and liabilities, not her income.

Assuming that Jane's assets are not considered as part of her income, we can conclude that she falls within the recommended amount, since her total liabilities ($2,300) divided by her total income (which we don't know but is presumably greater than her liabilities) would be less than 15%.

Answer:

12

Step-by-step explanation:

Answer:

A positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.

What is an integer?

Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of the equivalent positive numbers, which are additive, are the negative numbers. The boldface Z or blackboard bold "Z" is frequently used in mathematical notation to represent a collection of numbers.

Step-by-step explanation:

We know That total No. of factors

=product of (prime no′s power+1)

If N is the number of different divisors:

N=(p1​+1)⋅(p2​+1)⋅⋅⋅(pn​+1)

100= 2^2 × 5^2

=2×2×5×5= (1+1)(1+1)(4+1)(4+1)

Then the integer n=  a1^p1​​⋅a2^p2​​⋅⋅⋅⋅an^pn​​

For the smallest value: p1​=4,p2​=4,p3​=1,p4​=1

Then,

n=a1^4​×a2^4​×a3^1​×a4^1​

=24⋅34⋅51⋅71

=16⋅81⋅5⋅7

=45360

Hence, the positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.

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Answer:

The answer is "\(a_n =(\frac{x^{8n+5}}{a^{8n+8}})\)"

Step-by-step explanation:

\(f(x) =\frac{x^5}{a^8 -x^8} = \frac{\frac{x^5}{a^8}}{1-(\frac{x}{a})^8}\\\\\\\to \frac{1}{1-(\frac{x}{a})^8}\)

The above equation can be writtern as the sum of the \(\infty\) geometric series with \(r= \frac{x}{a}\)

\(= \frac{\frac{x^5}{a^8}}{1+(\frac{x}{a})^8} \\\\ = \frac{x^5}{a^8} [ 1+ (\frac{x}{a})^8 + ((\frac{x}{a})^8)^2+.......]\\\\= \frac{x^5}{a^8} \sum_{\infty}^{n=0} (\frac{x}{a})^{8n}\\\\ = \sum_{\infty}^{n=0} (\frac{x^{8n+5}}{a^{8n+8}})\\\\a_n =(\frac{x^{8n+5}}{a^{8n+8}})\)

The figure that would make the following "a reflection in line k." is: B. second figure.

In Geometry and Mathematics, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

Generally speaking, a reflection is a type of transformation that preserve angle measure of a geometric figure. Additionally, reflection can be used to preserve the direction of the vertices (coordinates) that are traced around a geometric figure.

In this context, we can reasonably infer and logically deduce that the second geometric figure is a transformation that would produce a reflection in line k because the figure (emoticons or smiley faces) maintains the same orientation i.e the direction of their vertices are preserved.

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Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer:

Step-by-step explanation:

From the given triangles in the picture attached,

∠A ≅ ∠X [Given]

∠B ≅ ∠Y [Given]

By AA property of similarity of the triangles, both the triangles will be similar.

ΔABC ~ ΔXZY

Similarity statement:

Corresponding sides of these similar triangles will be proportional.

\(\frac{XZ}{AB}= \frac{ZY}{BC}=\frac{XY}{AC}\)

Similarity ratio:

\(\frac{XY}{AC}=\frac{24}{16}\)

      = \(\frac{3}{2}\)

      = 3 : 2

Answer:

y = (1/5)x + 8

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other, so the slope of line J is ...

-1/(-5) = 1/5

We can use this with the given point in the point-slope form of the equation of a line:

y = m(x -h) +k . . . . . . . line with slope m through point (h, k)

y = (1/5)(x -5) +9

y = 1/5x +8 . . . . . simplified

ABC=CDE when ABC=61 then CDE=2X 2X=61 --> X=61/2=30.5

The value of x would be equal to 30.5

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

We are given that if ∆ACB ≅ ∆DCE,

∠ABC=61°,

∠BCA=57°

∠CDE=2x

Therefore,

ABC = CDE

then CDE = 2X

2X = 61

X=61/2

X =30.5

Hence, the value of x would be equal to 30.5

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Answer:

Daniel = 207 | Brandon = 196.2

Step-by-step explanation:

Brandon will reach the taco truck first.

• Daniel's time can be found by using the expression 327.6/3 + 489/5, which is 207 seconds.

• Brandon's time can be found by using the expression

327.6^+489^2/3 [Sqaured]

The time taken by Brandon will be 196.2 seconds while Daniel will be 207 seconds.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°.

⊕ Time is taken by Brandon ;

      01) Time taken in sand

             Time = 327.6/3 = 109.2 seconds.

     02) Time is taken on the boardwalk

             Time = 489/5 = 97.8 seconds.

Total time taken by Brandon = 109.2 + 97.8 = 207 seconds.

⊕ Time is taken by Daniel;

         By Pythagoras theorem

         Distance by Daniel = √(327.6² + 489² ) = 588.60 feets.

        Time = 588.60/3  = 196.2 seconds.

So the time taken by Brandon will be 207 seconds and Daniel will be 196.2 seconds.

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The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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Answer:

1/10 or 10%.

Step-by-step explanation:

If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

Step-by-step explanation:

The amplitude, midline and period of the function are 3 units, 4units and 5 units respectively

The amplitude is half the full height of the periodic function. That is:

Amplitude = (maximum - minimum)/2

Check the image attached, the maximum and minimum are labeled max and min respectively

Amplitude = (-1 - (-7))/2  = 6/2 = 3 units

The midline is the middle of the periodic graph or halfway between the minimum and maximum of the graph

Midline = (maximum + minimum)/2

Midline = (-1 + (-7))/2 = -8/2 = -4 units

The period is the distance between two peaks or (maximums) on the graph.

Period = 1-(-4) = 5 units

Therefore, the amplitude, midline and period are 3 units, 4units and 5 units respectively

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Answer:

24 units

Step-by-step explanation:

6 times 8 =48

48 divided by 1/2 = 24