Perform the operation.

(4x² + 8) + (-8x2 – 5x + 2)

Answer:

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one.

Step-by-step explanation:

Answer: 20%

Step-by-step explanation:

20% black dresses or suits

.35 = 35% wearing brown

1/4 = 25% wearing navy

100% -20% - 35% - 25% = 20% left

Answer:

QR = 54 cm

SR = 27 cm

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Rοunding tο the nearest whοle number, the area οf the actual game rοοm in square feet is 56 square feet.

Geοmetry is a branch οf mathematics that deals with the study οf shapes, sizes, relative pοsitiοns οf figures, and the prοperties οf space.

Tο find the area οf the actual game rοοm in square feet, we first need tο cοnvert the given dimensiοns frοm inches tο feet. Since there are 12 inches in a fοοt, we have:

Length οf rectangle = 2 inches ÷ 12 inches/fοοt = 0.1667 feet

Width οf rectangle = 4.5 inches ÷ 12 inches/fοοt = 0.375 feet

Next, we need tο find the area οf the rectangle in square feet using the scale οf 1 tο 30. This means that 1 inch οn the drawing represents 30 inches in real life. Tο cοnvert this tο feet, we divide by 12, sο 1 inch οn the drawing represents 2.5 feet in real life. Therefοre, we have:

Length οf rectangle = 2 inches × 2.5 feet/inch = 5 feet

Width οf rectangle = 4.5 inches × 2.5 feet/inch = 11.25 feet

The area οf the rectangle is:

Area = length × width = 5 feet × 11.25 feet = 56.25 square feet

Hence, Rοunding tο the nearest whοle number, the area οf the actual game rοοm in square feet is 56 square feet.

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Therefore, the expression that can be used to determine YK is (48)tanK that is option D.

A triangle is a closed two-dimensional geometric shape that is formed by connecting three non-collinear points with straight line segments. Each of these line segments is called a side, and the point where two sides meet is called a vertex. A triangle has three vertices, three sides, and three angles. Triangles can be classified based on the length of their sides and the size of their angles.

Here,

In the right triangle MYK, where MY = 48 units, MK = 73 units, and angle Y = 90 degrees, we can use trigonometric functions to find the length of YK. The trigonometric functions that relate to the sides and angles of a right triangle are:

Sine: sinθ = opposite/hypotenuse

Cosine: cosθ = adjacent/hypotenuse

Tangent: tanθ = opposite/adjacent

To find YK, we need to use the tangent function because we know the opposite and adjacent sides (MY and MK). So, the correct expression to determine YK is: (48)tanK

The other expressions given are:

(73)sinK: This expression would be used to find the opposite side, not YK.

(73)cosK: This expression would be used to find the adjacent side, not YK.

(48)tanM: This expression doesn't relate to the right triangle MYK since there is no angle M in the triangle.

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We must solve for x using the addition principle, the equation is as follows

In conclusion, the answer is x = -9

The two equivalent ratios of 15 / 60 are 30/120 and  45 / 180.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

The given fraction or ratio is 15 / 60. The equivalent ratio to the 15 / 60 will be written as:-

15 / 60 = 15 x 2 / 60 x 2

15 / 60 = 30 / 120

Multiply the numerator and the denominator by the same number.

15 / 60 = 15 x 3 / 60 x 3

15 / 60 = 45 / 180

Therefore, the two equivalent ratios of 15 / 60 are 30/120 and  45 / 180.

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The magnification (m) can be expressed as m = -s/(f-s) in terms of f and s.

The ratio of an object's perceived size to its actual size is known as its magnification. It is frequently used to refer to the expansion of an image created by a lens or other optical system in optics and microscopy. Magnification can be quantified as a straightforward ratio or as an increase in percentage.

To find the magnification (m) in terms of f and s, we can follow these steps:

1. Given the lens formula: 1/s + 1/s' = 1/f, where s is the object distance, s' is the image distance, and f is the focal length.

2. We need to express s' in terms of f and s. To do this, we can rearrange the lens formula to isolate s':
 \(1/s' = 1/f - 1/s\)

3. Next, we can find the reciprocal of both sides to get s':
 \(s' = 1/(1/f - 1/s)\)

4. Now we have the magnification formula: m = -s'/s

5. Substitute the expression for s' from step 3 into the magnification formula:
  \(m = -[1/(1/f - 1/s)]/s\)

6. Simplify the expression to obtain the magnification in terms of f and s:
\(m = -s/[(f-s)]\)

So, the magnification (m) can be expressed as m = -s/(f-s) in terms of f and s.

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One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.

Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.

One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.

The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

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Answer:

Step-by-step explanation:

Using the formula for calculating speed expressed as shown;

Speed = Distance/Time

Given parameters

Distance = 280miles

Speed = 50miles/hour

Required

Time it will take t return

From the formula above, Time = Distance/ Speed

Substituting the given parameters

Time = 280/50

Time = 5.6 hours

Hence the time it will take the driver to return is 5.6hours

By using the fact that the measures ∠BAE and ∠EAC are equal, we will see that x = 20

Here we know that AE is an angle bisector of ∠BAC, this means that the measures of the two formed angles are the same ones.

Then we can write:

∠BAE = ∠EAC

Now we know that the measures of these angles are:

∠BAE = x + 30

∠EAC = 3x - 10

Replacing that in the equation above we willget:

x + 30 = 3x - 10

solving that for x, we will get:

30 + 10 = 3x - x

40 = 2x

40/2 = x

20 = x

That is the value of x.

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Answer:

write a note or letter , or just be gutsy and... tell them face to face if it doesn't work out just say it was a joke or there a joke , I mean the worst would be like her socking u in the face. so‍♀️

Step-by-step explanation:

DO IT I BELIEVE IN YOU

Answer:

7(x - 8)

Step-by-step explanation:

times means multiplication

difference means subtraction

7 times the difference of x and 8 -> 7 * (x - 8) -> 7(x - 8)

Simplify if needed.

7(x - 8)

~Distribute

2x - 56

Best of Luck!

Answer:

Step-by-step explanation:

Probability of 1 is 1 out of 6:

Probability of less than 3 is:

P(1, less than 3) is

Total sample space

So

P(1)

P(<3)

P(1,<3)

Answer:

380

Step-by-step explanation:

area of a circle is pir^2

3.14(11)^2

3.14(121)

=380sqft

The area principle is a fundamental concept in data visualization that states that the size of a graphical element (such as a bar, a pie slice, or a bubble) should be proportional to the quantity it represents.

In other words, the area of the graphical element should accurately reflect the magnitude of the data it is displaying. This principle is particularly important when comparing quantities, as it allows the viewer to quickly and accurately perceive the relative differences between them. For example, if two bars in a bar chart have the same width but different heights, the viewer may be misled into thinking that the two quantities are closer in magnitude than they actually are.

The area principle is often applied in conjunction with other principles of good data visualization, such as using clear and simple designs, avoiding clutter, and choosing appropriate scales and units. The goal is to create visualizations that are not only aesthetically pleasing but also informative and effective in communicating the underlying data.

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Answer:

f(x) = 9x - 1,200

Step-by-step explanation:

Let x represent the number of movie tickets sold.

9x will represent the profit made from selling movie tickets that day, since each ticket is 9 dollars.

To determine the profit, subtract 1,200 from 9x.

9x - 1,200 will represent the profit. Turn this into a function:

f(x) = 9x - 1,200 where x is the number of movie tickets sold and f(x) is the profit

Answer:

8,905cm²

Step-by-step explanation:

Area= Length × Breadth

=137cm × 65cm

= 8,905cm²

Answer:

-4

Step-by-step explanation:

The equation is in slope-intercept format, y=mx+b. The coefficient in front of the x is the slope as represented by the letter m.

Answer:

Slope = -4

Step-by-step explanation:

The slope can be identified by looking at the coefficient next to the variable, x. In this instance, the coefficient is -4. Therefore, the slope is -4.

Answer:

95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern

95 will not be a term in the sequence 1, 5, 9, 13, 17, ....., as the value of n for the nth term is not integer.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given sequence of numbers is,

1, 5, 9, 13, 17, .....

The first term of the given sequence a₁ =1,

From the given sequence, the common difference pair of two consecutive terms d = 4,

Let nth term of the sequence aₙ= 95,

By arithmetic sequence formula,

aₙ = a₁ + (n-1).d

Substitute the value of aₙ and d,

95 = 1 + (n-1).4

94 = (n-1). 4

(n-1) = 23.5

n = 24.5

The value of n can't be decimal, so 95 can't be a term of the given sequence.

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Answer:  The two angles add up to 180 so they are supplementary angles.  

The sum of their measures is 180 degrees.

Step-by-step explanation:

Plug in given value for x.  

x=20

(3x+50)=

(60+50)=110

110

(4x-10)=

80-10=70

70

There are several true things about these angles you can find from this information but I think you are looking for the answer at top.

Answer:

Step-by-step explanation:

1) Sum = - 9

Product = -36

Factors = -12 , 3     {-12 + 3 = -9  & -12*3 = -36}

3a²  - 9a - 12 = 3a² + 3a - 12a - 12

                    =3a(a + 1) - 12(a + 1)

                    = (a + 1) (3a - 12)

2) 4a² + 38a - 20 = 4a² + 40a - 2a  - 20

                            =4a(a + 10) - 2(a + 10)

                            =(a + 10)(4a - 2)

3) 11a² + 30a - 9 = 11a² + 33a - 3a - 9

                          = 11a(a + 3) - 3(a + 3)

                          =(a + 3)(11a - 3)

Answer:

V≈21548.18

Step-by-step explanation:

V=πr^2h=π·19^2·19≈21548.18401