A landlord owns 3 condominiums, a 1-bedroom condo, a 2-bedroom condo, and a 3-bedroom condo. The total rent she receives is $1240. She needs to make repairs on the condos, and it costs 10% of the 1-bedroom condo’s rent for its repairs, 20% of the 2-bedroom for its repairs, and 30% of the 3-bedroom condo’s rent for its repairs. The total repair bill was $276. The 3-bedroom condo’s rent is twice the 1-bedroom condo’s rent. How much is the rent for all three condos?

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:35 degrees.

Step-by-step explanation:

The height of the pole is the opposite

Answer:

X = 67, Y = 113

Step-by-step explanation:

To find y: 180-62-51=67

To find x: 180-67 = 113

Total angle in a triangle sums to 180 degrees

Total angle in a straight line is also 180 degrees

The total amount of rainfall is the sum of the rainfall on each day

The total amount of rainfall is \(3\frac 38\) inches

From the dot plot, we have the following frequency table

Rainfall    Frequency

0                  4

1/8               5

1/4               1

3/8              2

1/2               1

1 1/4             1

So, the total amount of rainfall is:

\(Total = 0 * 4 + \frac 18 * 5 + \frac 14 * 1 + \frac 38 * 2 + \frac 12 * 1 + 1\frac 14 * 1\)

Evaluate the sum

\(Total = 3\frac 38\)

Hence, the total amount of rainfall is \(3\frac 38\) inches

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Answer:

25(x+2)(x−2)

Step-by-step explanation:

The solution is A = 25 ( x - 2 ) ( x - 2 )

The equation to the expression is given as A = 25 ( x - 2 ) ( x - 2 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 25x² - 100   be equation (1)

On simplifying the equation , we get

Taking 25 as the common factor of the equation , we get

A = 25 ( x² - 4 )

Now , ( x² - a² ) = ( x + a ) ( x - a )

So , the value of ( x² - 4 ) can be simplified as

A = 25 ( x + 2 ) ( x - 2 )

Therefore , the value of A is 25 ( x + 2 ) ( x - 2 )

Hence , the equation is A = 25 ( x + 2 ) ( x - 2 )

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Answer:

Domain: A, [tex)(-\infty, \infty)\)

Range: \([4, \infty)\)

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The slope of the curve  y⁴ = y² - x² is 1 and repeat the process for the second point.

Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

Answer 1008

Step-by-step explanation:

The amount of tax that is added to the cost of the computer is 159.72

From the question, we have the following parameters that can be used in our computation:

Computer cost = 968

Tax percentage = 16.5%

Using the above as a guide, we have the following:

Tax amount = Computer cost * Tax percentage

substitute the known values in the above equation, so, we have the following representation

Tax amount = 968 * 16.5%

Evaluate

Tax amount = 159.72

Hence, the amount of tax that is added to the cost of the computer is 159.72

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Answer:

B

Step-by-step explanation:

the options A and B are the ones that make sense

to get rid of one of the options, you have to substitute.

lets try 6

5+ 3.5(6)= 5+21= 26

3+ 4(6)= 3+24 = 27

in that example, the Bowling Pin is the best deal for Tina

The volume of the rectangular pyramid is 64 cubic feet.

A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.

The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.

The volume of a rectangular pyramid is given as:

V = (l)(b)(h) / 3

V = (6)(8)(4) / 3

V = 192 / 3

V = 64 cubic feet.

Hence, the volume of the rectangular pyramid is 64 cubic feet.

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The correct question is:

The converse of  t > r is r > t

A converse statement is determined when both the hypothesis and conclusion are reversed or interchanged.

In this condition, the hypothesis is written as the conclusion and the conclusion is changed to be the hypothesis.

If a conditional statement is written as: x → y

The converse is then written as y → x

Where;

Given the expression as;

t > r

We can see that;

The converse will be;

r > t

Hence, the converse is r > t

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Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

Answer:

  B,  9

Step-by-step explanation:

Let g represent the number of glass items. Then the number of plastic items is (9g -30). If 85% of items are plastic, then 100%-85% = 15% of items are glass. The ratio of plastic to glass is ...

  85%/15% = (9g -30)/g

  17/3 = 9 -30/g . . . . simplify

  30/g = 9 -17/3 = 10/3 . . . . . . add 30/g -17/3

  g = 30(3/10) = 9 . . . . . . . . . . multiply by 3g/10

There are 9 glass items.

_____

Additional comment

The number of plastic items is 9(9) -30 = 51, and the total number of items is 51+9 = 60. The percentage of plastic items is 51/60 = 85%.

__

There are many other ways the equation(s) could be written, including using a system of two equations. For example ...

To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

Correct Expression :

\(\qquad \tt \rightarrow \: |10| + | - 6| \)

\(\qquad \tt \rightarrow \: distance = 16\:\: units\degree\)

____________________________________

\( \large \tt Solution \: : \)

\( \textsf{Using distance formula -} \)

\(\qquad \tt \rightarrow \: \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } \)

\(\qquad \tt \rightarrow \: \sqrt{( - 6 - 10) {}^{2} + (4 - 4) {}^{2} } \)

\(\qquad \tt \rightarrow \: \sqrt{( - 16) {}^{2} + 0} \)

\(\qquad \tt \rightarrow \: \sqrt{256} \)

\(\qquad \tt \rightarrow \: 16 \: \: units\)

For short it can be expressed as :

\(\qquad \tt \rightarrow \: |10| + | - 6| = 10 + 6 = 16\)

[ y - coordinate of both the points are same ]

Correct option - D

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A

The vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.

In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:

\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)

From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).

The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is  \((x - 4)^2 - 20.\)

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Answer:

60%

Step-by-step explanation:

To find the percent of the corn she sold, divide the amount by the total, then multiply that by 100.

(150 / 250) x 100

0.6 x 100

= 60

So, Isabelle sold 60% of the corn

Answer:

the deli would have to sell 100 hot dogs or 40 burgers

Step-by-step explanation:

Answer:

\(E(x) = 1.5\\\)

Step-by-step explanation:

Given

\(n = 9\) -- number of rolls

Required

The mean of 2's

The distribution follows binomial distribution where:

\(X \to Binomial(n,p)\)

In this case:

\(p= \frac{1}{6}\) ---- the theoretical probability of rolling 2

So, the mean of 2's is calculated using:

\(E(x) = np\)

\(E(x) = 9 * \frac{1}{6}\)

\(E(x) = \frac{9}{6}\)

Simplify

\(E(x) = \frac{3}{2}\) or

\(E(x) = 1.5\\\)

Answer:

18394

Step-by-step explanation:

9197 × 2 = 18394 You double 91972

to work out the profit in December

The equation which has the correct sign on the product is 27(-5) = -135

- × - = +

- × + = -

+ × - = -

+ × + = +

Given equations:

27(-5) = -135

(-4)(-4) = -16

(-61) (3) = 183

22 × 4 = -88

Correct equation:

27(-5) = -135

(-4)(-4) = 16

(-61) (3) = -183

22 × 4 = 88

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Answer:

√41

Step-by-step explanation:

Considering the largest triangle,

The unknown side = √[(52)^2 + (40)^2]

= √400

= 20

Considering the second largest,

The unknown side = √[(20)^2 + (12)^2]

= √256

= 16

Considering the the smaller one,

Using pythagoras theorem

Unknown side = 12

The base of the smallest triangle is 16 - 12 = 4

hence x = √[(4)^2 + (5)^2]

= √41

Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0

Completing the square for x and y, we get:

\((x-1)^{2}\)  + \((y-1)^{2}\)  = \(6^{2}\)

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

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Answer:

ramon is the shortest

ryan is the tallest

carmen is taller than ramon

carmen is shorter than ricardo

carmen is shorter than ryan

ryan is taller than ricardo

The value of the diagram represented by 4/5 divided by 2/3 is 6/5

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

A numerical number that designates a portion of a whole is used to represent fractions. A fraction is a component or segment taken from a whole, which can be any number, a certain amount, or an object. Let's use an illustration to better comprehend this idea. The pizza in the accompanying image has been sliced into 8 equally sized pieces. Now, if we wish to refer to a single portion of the pizza, we can do so by using the notation 1/8, which indicates that we are talking about one portion out of 8 equally sized portions.

The fractions are 4/5 and 2/3

Now 4/5 divided by 2/3 is given by

\(\frac{\frac{4}{5} }{\frac{2}{3} }\) = \(\frac{4}{5}*\frac{3}{2} = \frac{6}{5}\)

The value of the diagram represented by 4/5 divided by 2/3 is 6/5

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