Based on their appearance, match the images of the plane figures to their most correct name.Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Answer:

Charlie owns 9,315 ft2 of the land area

Step-by-step explanation:

There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.

Mabel owns 26% of the land area, that is:

26*34,500 ft2 / 100 = 8,970 ft2

Adeline owns 47% of the land area, or:

47*34,500 ft2 / 100 = 16,215 ft2

The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2

Since the total area land is 34,500 ft2, Charlie owns:

34,500 ft2 - 25,185 ft2 = 9,315 ft2

Charlie owns 9,315 ft2 of the land area

Answer:

\(12 - 4 \sqrt{5} \)

Step-by-step explanation:

\( {( \sqrt{10} - \sqrt{2} })^{2} \\ ( \sqrt{10} - \sqrt{2} )( \sqrt{10} - \sqrt{2} ) \\ 10 - 2 \sqrt{5} - 2 \sqrt{5} + 2 \\ 10 - 4 \sqrt{5} + 2 \\ 12 - 4 \sqrt{5} \)

I hope I helped you^_^

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)

\(( \sqrt { 10 } - \sqrt { 2 } ) ^ { 2 }\)

Use binomial theorem \(\left(a-b\right)^{2}=a^{2}-2ab+b^{2} \) to expand \(\left(\sqrt{10}-\sqrt{2}\right)^{2}\).

\(\left(\sqrt{10}\right)^{2}-2\sqrt{10}\sqrt{2}+\left(\sqrt{2}\right)^{2} \)

The square of \(\sqrt{10}\) is 10.

\(10-2\sqrt{10}\sqrt{2}+\left(\sqrt{2}\right)^{2} \)

Factor \(10=2\times 5\). Rewrite the square root of the product \(\sqrt{2\times 5} \) as the product of square roots \(\sqrt{2}\sqrt{5}\).

\(10-2\sqrt{2}\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2} \)

Multiply \(\sqrt{2}\) and \(\sqrt{2} \) to get 2.

\(10-2\times 2\sqrt{5}+\left(\sqrt{2}\right)^{2} \)

Multiply -2 and 2 to get -4.

\(10-4\sqrt{5}+\left(\sqrt{2}\right)^{2} \)

The square of \(\sqrt{2}\) is 2.

\(10-4\sqrt{5}+2 \)

Add 10 and 2 to get 12.

\( \boxed{ \boxed{\bf\:12-4\sqrt{5} }}\)

Answer:

25 gallons

Explanation:

Let's call x the number of gallons that the container can hold.

The container starts half full, so it starts with (1/2)x gallons, then they pour out 5 gallons to let the container 3/10 full, so we need to subtract 5 gallons to get (3/10)x gallons. It means that we can write the following equation

Now, we can solve the expression for x, so

Therefore, the container can hold 25 gallons.

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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Answer:

Hey bro you're welcome.

Step-by-step explanation:

The system that has linear inequalities has the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.

We know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

In option B, we have

y > -3 ----> inequality A

y ≥ 2/3x - 4 ----> inequality B

In both inequality, change the values of x and y at the point (3, -2) and then compare the outcomes.

Inequality A

y > -3 ----> is true

Inequality B

y ≥ 2/3x - 4 ----> is true

Therefore

The ordered pair is a solution of the system B

As a result, the point (3, -2) in the solution set of the system with linear inequalities is y > -3; y 2/3x - 4.

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The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

Kari = 20 hours

Chris = 10

Mark = 10

Explanation:

K is Kari's hours

C is Chris's hours

Karis = 2 x C = K

Chris = C

Mark = C

3C - 10 = K

Assume C is 10 (since 10 is 1/3 of the hours mentioned)

2 x 10 = 20 so K worked 20 hours

20 is twice as much as 10 (C's hours)

and it's 30 - 10 (10 less than 3 times as many hours as Mark)

Answer:

y = 3x - 2

Step-by-step explanation:

Parallel lines have the same gradient in this case 3 is the gradient.

We will use the point (2,4) to form our own equation.

4 will be y, 3 will be m, 2 will be x

All we need is to find the C in the equation y=mx + c

4 = 3(2) + c

4 = 6 + c

C = -2

Therefore;

y = 3x - 2

The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

We have,

The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.

Therefore, we can say that:

f(x) < 0 for x < -3 and -1.1 < x < 0.9

And,

The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).

This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:

f(x) > 0 for x > -2.4

Now,

Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).

So,

The interval where f(x) is negative and greater than 0 is:

(-∞, -3) U (-1.1, 0)

Thus,

The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

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Hello!

see attachment

A1 = green

A2 = yellow

A3 = red

A1 = 15m * 3m = 45m²

A2 = (15m - (6m + 6m)) * 4m = 3m * 4m = 12m²

A3 = 15m * 3m = 45m²

A = A1 + A2 + A3

= 45m² + 12m² + 45m²

Answer:

b. 102 m²

Step-by-step explanation:

In order to find the area of shape.

Let's separate it into three rectangle.

We know that

Area of rectangle: Length*breadth

Using this

Area of left rectangle=15*3=45 m²

Area of middle rectangle=4*(15-6-6)=12 m²

Area of right rectangle= 15*3=45m²

Now

Total Area of shape= 45m²+12m²+45m²=102m²

Answer:

54

Step-by-step explanation:

Since their are 18 varieties and she needs 3 different bags, you would do 3*18, which is 54

So she can make 54 selections

Answer:

The Answer is B

Step-by-step explanation:

Why, Because it is saying graph the equation by a number of units so it will most likely be going down. Hope it helps.

Answer:

3 and 9

Step-by-step explanation:

x+y=12

y-x=6

y-x=6

 +x.  +x

y=6+x

x+(6+x)=12

6+2x=12

-6.    -6

2x=6

/2. /2

x=3

3+y=12

-3.  -3

y=9

Hopes this helps please mark brainliest

Answer:

C.

Step-by-step explanation:

......................

The expression that is equivalent to the expression (m - 4)/(m + 4) + (m + 2) is {m + m² + 6m + 4}/{m + 4}.

An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is to find the expression is equivalent to -

(m - 4)/(m + 4)  +  (m + 2)

We have the following expression as -

(m - 4)/(m + 4)  +  (m + 2)

{(m - 4) + (m + 2)(m + 4)}/(m + 4)

{(m - 4) + m² + 4m + 2m + 8}/(m + 4)

{m + m² + 6m + 4}/{m + 4}

Therefore, the expression that is equivalent to the expression (m - 4)/(m + 4) + (m + 2) is {m + m² + 6m + 4}/{m + 4}.

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Answer:

w or x

Step-by-step explanation:

the square root of 40 is 6.3

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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The 25th term of the arithmetic sequence is 148

A sequence in which the difference between all pairs of consecutive numbers is equal is called an arithmetic progression.

The sequence given is  4, -1, -6, -11 . . .

Here a1 = 4

d = -1 -4 = -5

The formula to find the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Substituting the values

an = 4 + (n - 1)-5

We have to find the 25th term n = 25

a25 = 4 + (25 - 1)-5

a25 = 4 + (24)-5

a25 = 4 + (-144)

expanding the bracket

a25 = 148

Therefore, the 25th term is 148.

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Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.

A graph can be described  as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.

In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.

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Using it's concept, it is found that the absolute deviation of 30 in the data set is of 2.

The absolute deviation of a measure is given by the absolute value of the differente between the measure and the mean.

The mean is the sum of all observations divided by the number of observations. In this data-set, it is given by:

M = (26 + 35 + 27 + 30 + 22)/5 = 28

30 - 28 = 2, hence, the absolute deviation of 30 in the data set is of 2.

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Answer:

The answer is 2

Step-by-step explanation:

I took the test

lmk is anything is unclear. This would also work with cosine but it would have to be set up a little differently.

Answer: systematic

Step-by-step explanation:

Given, When grading English papers, the instructor checks every 4th paper for plagiarism which expresses a fixed periodic interval.

Hence, this is systematic sampling.

Answer:

Yes, unit of the first rate can be be different from and second and still represent the same measurement/value.

Step-by-step explanation:

Yes, if we have two units rate and one rate is converted to another, both measurement will still remain the same even after the conversion but the rate will be different.

For example if we want to convert $2 to naira, note that the unit rates for are distinct but after conversion the amount of both money will be the same.

If $1 = #386

2$ = 2×#386

$2 = #772

Hence the measurement of $2 is equivalent to 386 naira even though the rates are distinct (naira and $)

1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

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