Using the formula for squaring binomial evaluate the following- 54square 82 square

The volume of the solid is 4/5π.

The volume of a solid generated by revolving a region around a line is given by V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region, respectively, and y is a function of x.

In this case, the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Therefore, the volume of the solid generated when the region is revolved about the y-axis is given by

V = ∫0 1 π(y)2dy

= ∫0 1 πx6dx

= π/7

= 4/5π

The volume of the solid is calculated using the formula V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region and y is a function of x. In this case, the lower limit is a=0 and the upper limit is b=1, since the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Integrating from a=0 to b=1 gives the volume of the solid as V = ∫0 1 πx6dx = π/7 = 4/5π.

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32% of the same people spend their time listening.

The total number of mentioned  people will be 100% or 1. Now, in the total people, the remaining ones who are not stated in the question, must be the listeners. Thus, calculating the remaining percentage of people, we will get the percentage of listeners in same people.

So, number of people who spend time speaking = 26%

Number of people who spend time speaking = \(\frac{26}{100}\)

Number of people who spend time speaking = 0.26

Number of people who spend time writing =  23%

Number of people who spend time writing = \(\frac{23}{100}\)

Number of people who spend time writing = 0.23

Number of people who spend time reading =  19%

Number of people who spend time reading = \(\frac{19}{100}\)

Number of people who spend time reading = 0.19

Total number of people involved in activities other than listening = 0.26 + 0.23 + 0.19

Total number of people involved in activities other than listening = 0.68

People who spend time listening = 1 - 0.68

People who spend time listening = 0.32

Percentage of people who spend time listening = 0.32 × 100

Percentage of people who spend time listening = 32%

Hence, 32% of the same people spend their time listening.

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Answer:

$133.56

Step-by-step explanation:

Multiply 180 and .3 and then subtract that number with 180

you should then get 126

multiply 126 by .06 you should get 7.56

Finally add 126 and 7.56 you should get your final price of 133.56

Answer:

y(y-1)

Step-by-step explanation:

the common factor of both of these is y so you divide by y for both of these problems to get

y-1 and then you multiply by y since you took y out

y(y-1)

hopes this helps please mark brainliest

Answer:

y(y-1)

Step-by-step explanation:

hope this helped

Based on the stem- and-leaf plot which indicates the scores of 50 students, the number of students that scored 22 is 1. (Option B).

A stem and leaf plot is a simple type of graph composed entirely of integers.

It is a method of illustrating the major characteristics of a distribution.

When a stem and leaf plot is flipped over, it resembles a bar graph or histogram and provides similar visual information.

A stem and leaf plot divides each data value into a leaf (the final number) and a stem (the other digits).

For instance, 12 on the stem and 7 on the leaf read as 127, and 127 is written using the stem and leaf plot key 12 I 7.

So, in this situation, in search of 22, we have:

The number of pupils who scored 22 is given as 2 on the stem and 2 on the leaf on the right side.

The total number of digits on the right also tells us how many students there were.

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Answer:  approximately 12.17 units

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

Work Shown:

We'll use the tangent ratio to find r

tan(angle) = opposite/adjacent

tan(49) = 14/r

r*tan(49) = 14

r = 14/tan(49)

r = 12.1700143294271

r = 12.17

The radius is approximately 12.17 units long.

To get the area of the shaded portion, we will add the area of major sector to the area of triangle

Area of the major sector =

Answer:297.5

Step-by-step explanation:

Answer:

a) The new quadrilateral points are

S¹(5 ,-4) ,T¹(4,-1), U¹(1,0), V¹( 3 ,-3)

Step-by-step explanation:

Explanation:-

Malik draws quadrilateral STUV in the coordinate plane with vertices at $(-5, -4), T-4-1). U(-1,0) , V(-3,-3)

Malik reflects quadrilateral STUV across the y-axis then the transformed to

( x, y) → (-x ,y)

a) S(-5,-4)→S¹(-(-5) , -4)

S((-5,-4)→S¹(5 ,-4)

b) T(-4,-1)→ T¹(-(-4) ,-1)

   T(-4,-1)→ T¹(4,-1)

c) U(-1,0) → U¹(-(-1),0)

  U(-1,0) → U¹(1,0)

d) V(-3,-3)→ V¹( -(-3) ,-3)

   V(-3,-3)→ V¹( 3 ,-3)

final answer:-

The new quadrilateral points are

S¹(5 ,-4) ,T¹(4,-1), U¹(1,0), V¹( 3 ,-3)

The car will cost $ 800 after a depreciation time of approximately 6 years.

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

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The required simplified value of the expression 4/15×13/8 + 21/13 is 799/390.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
4/15×13/8 + 21/13

Following the PEMDAS rules,
Solving 4/15×13/8 first then add the product with 21/13
So,
= 4/15×13/8 + 21/13
= {13/15}{4/8} + 21/13
= 13/15 {1/2} + 21/13
= 13/30 + 21/13
= [13×13 + 21×30] / [30×13]
= 169 + 630 / 390
= 799/390

Similarly, all the exercises can be evaluated.

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Answer:

Angle DCE is a central angle so it's equal to the arc facing it, which is DE, which is given as 116. So angle DCE= 116°

Angle EDF is an angle between a tangent line, DF, and a secant line, DE. So its measure is equal to half of the arc it surrounds, which is arc DE. 116/2= 58°. Angle EDF=58°.

Answer:

The radius of the circle is 3, so

Circumference = 2(3)π = 6π = 18.84

Area = π(3^2) = 9π = 28.26

A) The probability the golfer got zero or one hole-in-one during a single game is between 10.01% and 11.38%.

B) The probability the golfer got exactly two holes-in-one during a single game is 8.57%.

C) The probability the golfer got six holes-in-one during a single game is close to 0%.

Since a miniature golf player sinks a hole-in-one about 12% of the time on any given hole and is going to play 8 games at 18 holes each, to determine A) what is the probability the golfer got zero or one hole -in-one during a single game, B) what is the probability the golfer got exactly two holes-in-one during a single game, and C) what is the probability the golfer got six holes-in-one during a single game , the following calculations must be performed:

Therefore, the probability the golfer got zero or one hole-in-one during a single game is between 10.01% and 11.38%.

Therefore, the probability the golfer got exactly two holes-in-one during a single game is 8.57%.

Therefore, the probability the golfer got six holes-in-one during a single game is close to 0%.

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Answer:

60

Step-by-step explanation:

Answer:

2,2

Step-by-step explanation:

I don't really know how to explain it, but if you plot E and F on a coordinate plane it would make more sense.

*Note that the ratio 1:1 is not the same as the fraction 1/1, rather, 1:1 = 1/2 so point F is like a midpoint of segment EG

The coordinates of point G is (2,2)

The coordinate points are given as:

The ratio is given as:

\(m : n = 1 : 1\)

Given that the ratio is 1 : 1, it means that, point F is at the midpoint of line segment EG

So, we have:

\(F =0.5 \times (x_1 + x_2, y_1 + y_2)\)

This gives

\((1,3) =0.5 \times (0 + x, 4+ y)\)

\((1,3) =0.5 \times (x, 4+ y)\)

Multiply both sides by 2

\((2,6) =(x, 4+ y)\)

By comparison, we have:

\(x = 2\)

\(4 + y = 6\)

\(y =2\)

Hence, the coordinates of point G is (2,2)

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Answer:

Raven paints about 3 lures per minute.

Step-by-step explanation:

Answer:

Raven paints about 3 lures per minute.

Step-by-step explanation:

If we are doing the same assingment than thats waht i got

If ∆ACD is similar to ∆DFC , FD = 12

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects.

Law of similar triangles says that the ratio of the corresponding sides are equal

Therefore in ∆ABE and ACD

6/15= x/x+12

= 6( x+12) = 9x

6x + 72 = 15x

9x = 72

divide both sides by 3

x = 72/9

x = 8

therefore AC = 12 +8 = 20

using similar triangle theorem

AC/DF = 15/9

20/DF = 15/9

180 = 15DF

FD = 180/15

FD= 12

therefore the measure of FD is 12

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According to the CPT manual, the appropriate code for the treatment for primary breast cancer, would be 77427.

In medical coding, it is important to assign the correct CPT code to accurately describe the provided medical service. For the described scenario of delivering five MeV of radiation treatment to a single area for primary breast cancer, the appropriate code is 77427. This code specifically represents the radiation treatment delivery for breast cancer.

The CPT manual is a widely used resource that provides a comprehensive list of medical procedures and services, each assigned a specific code. These codes help healthcare providers communicate and document the services rendered to patients, as well as facilitate accurate billing and reimbursement. The codes in the CPT manual are regularly updated to reflect advancements in medical technology and practices.

By referencing the CPT manual, healthcare professionals can ensure that the services they provide are accurately coded, allowing for consistent and standardized communication across the healthcare industry. This helps in maintaining proper documentation, tracking patient care, and facilitating efficient billing processes.

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The CPT manual provides specific codes for radiation treatment delivery, including those for breast cancer. The appropriate code for the given treatment would depend on the specific technique used and can be found in the CPT manual.

In order to code the radiation treatment delivery for primary breast cancer, right female breast, we need to refer to the CPT manual. The CPT manual provides specific codes for different types of radiation treatment delivery. In this case, the treatment involves the delivery of Five MeV of radiation to a single area.

Based on the information provided, the appropriate CPT code for this treatment would be determined by the specific technique used for radiation delivery. The CPT manual provides codes for different techniques, such as external beam radiation therapy (EBRT) and brachytherapy.

Since the question does not specify the technique, we cannot provide a specific CPT code. However, a healthcare professional would consult the CPT manual and select the appropriate code based on the specific details of the treatment.

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Answer:

y=0.5x-2

Step-by-step explanation:

8y=4x-32/2

First thing you are going to do is solve for 32/2=16 and then enter it into the equation.

8y=4x-16

Second thing you are going to do is divide everything by 8 to get rid of 8y.

8y=4x-16

-------------

   8

4/8=0.5 and 16/8=2

y=0.5x-2

The answer of the given question based on graph is , (a) After the equation is graphed, the vertex is the maximum. , (b)  After the equation is graphed, the vertex is the minimum. , (c) There is no vertex.

An equation is mathematical statement that shows equality of the two expressions, often separated by equal sign (=). Equations can contain variables, constants, and mathematical operations, and they are used to describe various relationships or situations in mathematics and other fields.

Solving equations involves finding the value(s) of the variable(s) that make the equation true. Depending on the type of equation and the operations involved, different methods can be used to solve it

(a) x²-6x+7=0 --> (2) After the equation is graphed, the vertex is the maximum.

(b) -x² + x = -17 --> (1) After the equation is graphed, the vertex is the minimum.

(c) 9x² = 1 --> (3) There is no vertex.

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AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

86.5

\(14 + 8 + 12.5 = 34.5 \: \: 121 - 34.5 = 86.5\)

Answer:

k=15

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

2/5 = 4/10

Answer:

500

Step-by-step explanation:

10*1*22=220

7*4*10=280

220+280=500

Answer:

2700 cubic feet

Step-by-step explanation:

To find the volume of the figure, we need to find the separate volumes of the cuboids. The formula for the volume of a cuboid is length × breadth × height.

Volume of bigger cuboid = 11 × 10 × 22

                                          = 2420

Volume of smaller cuboid = 10 × 4 × 7

                                           = 280

Volume of figure = 2420 + 280

                            = 2700 cubic feet

Hello!

The first step is to subtract 1 from both sides.

\(\bf{3x+1=38}\)

\(\bf{3x=37}\)

Now, divide both sides by 3:

\(\bf{\displaystyle\frac{37}{3} }\)

Can this fraction be simplified? Nope.

Why? Because 37 and 3 do not have any common factors, except 1 (and what's the point of dividing by 1?)

Hence, the answer is

\(\huge\boxed{\text{Answer:{\boxed{\circ\star{\frac{37}{3} }}}}}\)

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

\(\boxed{An~Emotional~Helper!}\)

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Answer:

side c-10.35 Angle a-50.88 Angle B-94.12

Step-by-step explanation:

I found the answers on a khan academy thing. I just took the quiz and got a 100%

Answer: $72.80

Step-by-step explanation:

If 1 kilo is 36.40 then multiply by 2

= 72.80