Find an equation for the surface obtained by rotating the line x = 4y about the x-axis.

Answer:

y=-x+2  

Step-by-step explanation:

it is linear equation y=mx+b two points (0,2),(1,1)

find m ( slope)=y2-y1/x2-x1 ⇒1-2/1-0⇒-1

y=mx+b choosea point from graph :(0,2)\when x =0 the y=b=2

y=-x+2  

The total area of the composite figure is 228 sq cm

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

The composite figure with 6 sides

The total area of the composite figure is the sum of the areas of the individual shapes

So, we have

Area = Area of Rectangle + Area of Rectangle

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

Area = 12 * 14 + (22 - 12) * 6

Evaluate the products

Area = 228

Hence, the total area of the figure is 228 sq cm

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The equation of the function is y = sec(2(x + π/6)) + 2

From the graph, we have the following parameters:

A secant function is represented as:

y = A sec(b(x + c)) + d

Where:

A = 0.5 * (max - min) = 0.5 * (3 - 1) = 1

b = Period = 2

c = Phase shift = π/6

d = 0.5 * (max + min) = 0.5 * (3 + 1) = 2

So, we have:

y = 1 * sec(2(x + π/6)) + 2

Evaluate

y = sec(2(x + π/6)) + 2

Hence, the equation of the function is y = sec(2(x + π/6)) + 2

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Answer

The answer is B on Edgenuit

Step-by-step explanation:

Desmos

Answer:

12 Cups if Cheese

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total students = 450

Hence, 162 students stated that they purchased an SUV.

Hoped this helped.

\(BrainiacUser1357\)

The angle measure of an arc bounding the sector, is 200°

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that, a circle with radius 5 cm and area of a sector is 10π cm², we need to find the angle measure of an arc bounding the sector,

The area of a sector of a circle = θ / 360° ×2π×radius²

Where, θ is the central angles

Therefore,

10π = θ / 360° ×2π×3²

5 = θ / 40°

θ = 200°

Hence, the angle measure of an arc bounding the sector, is 200°

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The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Answer:

\( {x}^{2} - 12x + 23 = 0\)

\( {x}^{2} - 12x = - 23\)

\( {x}^{2} - 12x + 36 = 13\)

\( {(x - 6)}^{2} = 13\)

x - 6 = +√13

x = 6 + √13

The price of the car after paying the 6% sales tax is given as follows:

$17,930.43.

The price of the car is obtained applying the proportions in the context of the problem.

The initial price is of $18,795, with a discount of 10%, meaning that 90% of the price is paid, hence:

0.9 x 18795 = $16,915.5.

The sales tax of 6% means that the discounted amount has to be multiplied by 106% = 1.06, hence:

1.06 x 16915.5 = $17,930.43.

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The numbers in the diagram are correct because they satisfy all the conditions given in the text.

Then, we can easily identify that 9 people ordered quesadillas and chili con queso but not ordered nachos.

On the other hand, 22 people ordered just nachos.

To find the probability that a person chosen at random ordered chili con queso, divide the total amount of people that ordered chili con queso over the total number of people in the sample.

Since 40 people ordered chili con queso and there are 104 people seated in the restaurant, then the probability that a person chosen at random ordered chili con queso is:

Therefore , the solution of the given problem of ratio comes out to be

there are 32 fauvists .

Ratios show how often one number is contained in another in mathematics. For instance, the ratio of oranges to lemons in a fruit dish is 8 to 6 if there are 8 oranges and 6 lemons present. In a similar vein, the proportion of oranges to whole fruit is 8, while that of lemons to oranges is 6:8. A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. The ratio can be expressed as 1:3, for instance, if there is 1 boy and 3 girls (for every boy she has 3 girls) 3/4 are girls, while 1/4 are boys.

Here,

Given :

the ratio is 13:4

and there were 104 impressionists

Let x be the fauvisits

=> 13:4 = 104/x

=>  13 /4  = 104/x

=> x = 104 *4 /13

= >x  = 32

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Answer:

square root of 1024 is 32

Answer:

32

Step-by-step explanation:

32 x 32 = 1024

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.

According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.

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Answer:

number 2? ok it's 43

Step-by-step explanation:

hope this is helpful! have an amazing day :) God Bless you

Answer:

1 1/2 = 3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

because the whole number one is equal to 2 halves for it would be 2+1 which would give u 3 over 2 hope that helps :)

(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:

sum of terms: 55550

Explanation:

\(\sf S_n = \dfrac{n}{2} (u_{start}+u_{end}})\)

Here the number of terms:

1100 ÷ 11 = 100

Using the Formula:

\(\sf \dfrac{100}{2} (11+1100)\)

\(\sf 55550\)

Answer: (2815/2) + 20 = 1427.5

Step-by-step explanation:

Answer:

\((2 \div 3)x > 1 + \frac{1}{5} \\ \frac{2}{3} x > \frac{6}{5} \\ x > \frac{18}{10} \)

Answer:

8

Step-by-step explanation:

Arrange the terms in ascending order.

\(-1, \frac{1}{3}, 4.5, 8\)

The maximum value is the largest value in the arranged data set.

8

Answers

I got answer 16.9

Step-by-step explanation:

1. Let's first look at triangle XYC. We know angle Y is 90 degrees because it has the symbol. and it is given that Angle X 45 degrees. Using the triangle interior angle theoreom, a triangle has 180 degrees so Angle C is 45 degrees. Know let find the sides, First we can deduce XY is 5 cm because of the triangle midsegment theorem XY is half of BC so since we know BC is 10  that means XY is 5.  Then applying 45-45-90 triangle rules, XY=5, YC=5 and XC=\(5\sqrt{2}\).

2.Now let look at the triangle XBC. Let find one  missing angles. In the triangle . A  angle bisector  XC bisects XY and BC  . Using that information Angle C of XYC = Angle C of XBC. So angle C=45 degrees. Knowing looking at the main triangle ABC  Angle A=30, Angle C= 45+45=90 and Angle B=60 by interior triangle theorem. So going back to Angle X so angle x is 75 degrees due to interior triangle theorm. Also since Y=90 degrees it forms a linear pair to triangle AXY so Y=90 for AXY

Now let apply 30-60-90 triangle rules to AXY. XY =5, AY=\(5\sqrt{3}\) and AX=10.  

Finally. Apply 30-60-90 triangle rules to ABC. AC=\(5\sqrt{3}\) +5 BC=10 and AB should turrn out to be 16.9.

This may not be right,but good luck:)

Geometric sequence

an = a1 r ^(n-1)

____________________

f(n)=1/2*4^n, n≥0

in this case a1= 1/2

r = 4

n= 0 (you just replace n)

f( 0 )=1/2*4^0

f(0) = 1/2 =1/ 2

n f(n)

0 f(0) = 1/ 2 f( 0 )=1/2*4^0

1 f(1) = 2 f( 0 )=1/2*4^2 = 4/2

2 f(2) = 8 f( 0 )=1/2*4^2 = 16/2

3 f(3) = 32 f( 0 )=1/2*4^2 =64/2

4 f(4) = 128 f( 0 )=1/2*4^2 = 256/2

Answer:

A) a= 123   b= 123   c= 57

B) d= 98   e= 98   f= 98

C) g= 75   h= 75

Step-by-step explanation:

The ones that have the same angle measurement are corresponding angles, meaning that they have -well- the same measurement.

Adjacent angles are how I figured out the measurements. If you have one angle, the angle next to it will form a straight line, or 180 degrees. You just subtract that measurement to 180 and get the other angle.

Answer:

G= 75 H=75

Step-by-step explanation:

Ok, so with these the lines are marked as parallel. All lines are equal to 180 degrees, so with the given information that one of the angles are 75 degrees, you can subtract 75 from 180 to get 105. Since both g and h did not require that, it was not entirely necessary for me to say that, but I hope that it can be helpful for you. But, because the lines are parallel, it means that the other side also has a 75 degree angle as well as a 105 degree angle. Just looking at the size of the angle that's labeled can help too. the smaller angle is 75. Since the lines are parallel, you can just find the smaller angles and mark them as 75 as well. Hope that was helpful to you!  

Answer:

One solution

Step-by-step explanation:

Let's rewrite y = 6 - 3x as y = -3x + 6

Looking at these two equations, we can see they share a y-intercept

Making our solution 6

We know there is only one solution because the equations are not the exact same, if they were we'd have infinitely many solutions

We also know there aren't no solutions because the lines are not parallel (same slopes with difference y-intercepts)

Best of luck

Answer:

8-10 feet

Step-by-step explanation:

If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.

Now we can solve for both the maximum and minimum cases:

x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.

x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.

Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.

2x²+3x+7=x

2x²+3x-x+7=0

2x²+2x+7=0

The area of the smaller sector or minor sector is  125.66 yd².

The area of the larger sector or major sector is  326.73 yd².

The areas of the minor and major sectors is calculated by applying the following formulas follow;

Area of sector is given as;

A = (θ/360) x πr²

where;

The area of the smaller sector or minor sector is calculated as follows;

A = ( 100 / 360 ) x π ( 12 yd)²

A = 125.66 yd²

The area of the larger sector or major sector is calculated as follows;

θ = 360 - 100

θ = 260⁰

A =  ( 260 / 360 ) x π ( 12 yd)²

A = 326.73 yd²

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Answer:

1. 23

2. 32

3. 9

4. -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)

                        = 7*( -2x  +3y - 0.7)

-2x + 3(-5x + 1) = -2x - 15x + 3

                       = -17x + 3

-3x + 5(-8x - 1) = -3x  - 40x - 5

                       = -43x - 5

-4x + 5(-5x - 1) = -4x - 25x - 5

                       = -29x - 5