Solve the measurement equations
7 ft. + 5 in. = ____ in.
1.
2. S
3.

\(x=-2 \implies y=(1/3)^{-2}=3^{2}=9\\\\x=-1 \implies y=(1/3)^{-1}=3\\\\x=0 \implies y=(1/3)^0=1\\ \\ x=1 \implies y=1/3\\\\x=2 \implies y=(1/3)^2 =1/9\)

Using these points, the correct graph is shown in option C.

Step-by-step explanation:

for z -> 3 (3z - 2) -> (3×3 - 2) = 7

Answer:

64 inches squared

Step-by-step explanation:

Answer:

The answer is "\(22,246 \ H_z \ \ and \ \ 7.3\%\)"

Step-by-step explanation:

The sampling rate: \((f_s) = 52,500 \ \frac{samples}{sec}\)

In point a:

The sample signal frequency = f  

They recognize that the id \(\geq\) 2f sampling frequency could be returned to its original signal unless the aliase effect is detected elsewhere,  Yet under percentage =18%

\(\ sampling \ rate = 2 \times 1.18 \times f\)

\(\to f = \frac{52,500}{2 \times 1.18}\\\\\)

       \(= 22,246 \ h_z\)

In point b:

Maximum 22,242 frequency is increased by \(10 \ \%\)

\(f_a =22,246 \times 1.1\)

    \(= 24,470.6\\\\=24,471\)

\(\ sampling \ rate= x \times 2 \times 24,2471 \\\)

                    \(x= \frac{52,500}{48,942} \\\\x= 1.073\\\\\)

over sampling percentage \(= 7.3 \ \%\)

(a) Revolving about the x-axis, the volume of the solid is 3Pi

(b) Revolving about the y-axis, the volume of the solid is 18 Pi

(c) Revolving about the line x=3, the volume of the solid is 0

(d) Revolving about the line x=6, the volume of the solid will be 32/3 Pi

The region bounded by y=x, y=0, and x=3 is a triangle in the first quadrant.

To find the volume of the solid generated by revolving this region about an axis, we can use the disk or washer method.

(a) Revolving about the x-axis:

Each cross-section of the solid perpendicular to the x-axis is a disk with radius x and thickness dx.

The volume of each disk is \(\pi x^2 dx\).

The limits of integration are 0 and 3, the x-coordinates of the intersection points of the two curves.

Hence, the volume of the solid is

\(V &= \int_0^3 \pi x^2 dx\\\\\&= \left[\frac{\pi}{3}x^3\right]_0^3\\\\\&= \frac{9\pi}{3}\\\\\&= 3\pi.\)

(b) Revolving about the y-axis:

Each cross-section of the solid perpendicular to the y-axis is a washer with outer radius 3 and inner radius x, and thickness dx.

The volume of each washer is \(\pi(3^2-x^2)dx.\)

The limits of integration are 0 and 3.

Hence, the volume of the solid is

\(V &= \int_0^3 \pi(3^2-x^2)dx\\\\\&= \left[\pi(9x-\frac{x^3}{3})\right]_0^3\\\\\&= \pi(27-\frac{27}{3})\\\\\&= 18\pi.\)

(c) Revolving about the line x=3:

Each cross-section of the solid perpendicular to the line x=3 is a washer with outer radius 3-x and inner radius 3-x-|x|, and thickness dx.

The volume of each washer is\(\pi((3-x)^2-(3-x-|x|)^2)dx\).

The limits of integration are -3 and 3.

Hence, the volume of the solid is

\(V &= \int_{-3}^3 \pi((3-x)^2-(3-x-|x|)^2)dx\\\\\&= \left[8\pi\int_0^3 (3-x-|x|)dx\right]\\\\\&= 8\pi\int_0^3 (3-2x)dx\\\\\&= 8\pi\left[3x-x^2\right]_0^3\\\\\&= 8\pi(9-9)\\\\\&= 0.\\\\\)

(d) Revolving about the line x=6:

Each cross-section of the solid perpendicular to the line x=6 is a washer with outer radius |3-x| and inner radius |x-6|, and thickness dx.

The volume of each washer is\(\pi(|3-x|^2-|x-6|^2)dx.\)

The limits of integration are 0 and 3.

Hence, the volume of the solid is

\(V &= \int_0^3 \pi(|3-x|^2-|x-6|^2)dx\\\\\&= \left[\frac{32\pi}{3}\right]\\\\\&= \frac{32}{3}\pi.\)

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ASA stands for "Angle-Side-Angle." Triangles classified as ASAs have two known angles and a common side. The ASA triangle ABC, with provided angles B and C and their common side a between them, is depicted below.

What does a congruence mean in mathematics?

If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.

Describe ASA congruence through an example.

ASA (Angle-Side- Angle) 

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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Answer

-2 - (-7) = 5

Explanation

-2 - (-7)

(minus multiplied by minus gives plus)

-2 - (-7)

= -2 + 7

= 5

Hope this Helps!!!

Answer:

87.6 m²

Step-by-step explanation:

9x9=81

2x1/2x2.2x3=6.6

81+6.6=87.6

Answer:

It has a difference of x=2 of -4

Step-by-step explanation:

It has a difference of x=2 of -4

Given ,

           x ≠ 2 ,

           x - 2 =0

So, we put x = -2 because in question x ≠ 2 .

Then,      x - 2 = 0

              -2 -2 = 0

               - 4 =0

Therefore, it has a difference of x= -2 of -4.

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Answer:

197

Step-by-step explanation:

3((2)(2))3+5

=3(43)+5

=(3)(64)+5

=192+5

=197

Answer:

41 with the 3 up above it

Step-by-step explanation:

3(2x2)^3+5

6x6^3+5

36^3+5

41^3

I hope that helps

The solution to the math problem is -6.

A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.

The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.

= 19 - ( - 5 ) ²

= 19 - ( 25 )

= 19 - 25

= - 6

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Answer:

B

Step-by-step explanation:

You have to know how to factor polynomials.

2(5x^2-21x-54)

2(5x^2-30x+9x-54)

2(5x(x-6)+9(x-6))

2(5x+9)(x-6)

Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

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

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

Answer:500%

Step-by-step explanation:

The solution is in the file below

Answer and Step-by-step explanation:

To find x, we must find the interior angles first, then we can find the value of x.

To find the interior angle, we need to use the exterior angle. We subtract the exterior angle from 180 to get the interior angle.

180 - 157 = 23

180 - 78 = 102

Now we need to find the last interior angle.

180 - 23 - 102 = 55

Now to find x.

180 - 55 = 125

x = 125

#teamtrees #PAW (Plant And Water) #ALM (All Lives Matter)

I hope this helps!

Answer:

the value of x is 124

Step-by-step explanation:

3x+x= 180°(straight angle)

4x= 180°

x= 180/4

x= 45°

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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Answer:

Step-by-step explanation:

8) a) In a parallelogram, opposite sides are equal and parallel.

               BC = AD

         12x - 1 = x  + 21

         12x      = x + 21  + 1

              12x = x + 22

         12x - x = 22

                11x = 22

                  x = 22 ÷ 11

                 x = 2

AD = x + 21

     = 2 + 21

AD = 23

In a parallelogram, adjacent angles are supplementary.

   ∠A + ∠D = 180°

\(\sf y - 9 + \dfrac{y}{2}=180\\\\ \dfrac{2y}{2}+\dfrac{y}{2}=180+9\\\\\)

        \(\dfrac{3y}{2}=189\\\\y =189*\dfrac{2}{3}\\\\y=63*2\\\\y = 126\)

∠D = 126 ÷2

     = 63

In parallelogram, opposite angles are congruent.

 ∠B = ∠D

   ∠B = 63°

Answer:

10/91

Step-by-step explanation:

Number of Red balls = 4

Number of Yellow balls = 3

Number of green balls=7

Total=4+3+7=14

If we pick three balls of the same color, there are three possibilities: (All Red, All Green Or all Yellow).

Therefore:

The probability that all three balls are the same color (note that the selections are without replacement)

=P(RRR)+P(GGG)+P(YYY)

\(=(\frac{4}{14} \times \frac{3}{13} \times \frac{2}{12})+(\frac{3}{14} \times \frac{2}{13} \times \frac{1}{12})+(\frac{7}{14} \times \frac{6}{13} \times \frac{5}{12})\\\\=\frac{1}{91} + \frac{1}{364}+ \frac{5}{52}\\\\=\frac{10}{91}\)

The probability that all three balls are the same color is 10/91.

Answer:

8 triangles

Step-by-step explanation:

1 Triangle = 2 needed to be solve. 4 triangle × 2 =8.

Answer:

I think 4000000000

Answer: 4,321,109,432 rounded to the nearest billion is 4,000,000,000

Step-by-step explanation:

First, you find the billions place which is right here:

4,321,109,432

Look to the number to the right of it. Is it greater or less than 5? Since it's less, you round down to 0, leaving a 4 and 3 sets of 3 zeroes.

Answer:

\(\boxed{\sf C. \ 6.6 \ units}\)

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve.

\(\sf cos(\theta)=\frac{adjacent}{hypotenuse}\)

\(\sf cos(35)=\frac{MO}{8}\)

\(\sf 8 \ cos(35)=MO\)

\(\sf 6.55321635...=MO\)

Answer:

9.425 pounds

Step-by-step explanation:

45% of 6.5 is 2.925 so we add that to 6.5 and we get 9.425.

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

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Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

Step-by-step explanation:

70 ÷ 3 = 23  1/3

Answer:

A∪B = {1,2,3,4,5,6,7,8,9,11,13,14,15,16,18,20}

A∩B = {1,5,6,7,8,9,11,14,15}

Step-by-step explanation:

A∪B is the elements in A or B. So, for this question, we just need to find the numbers that are in A or B. Remember not to add anything that is not in set A or B and not write the same number twice.

A∩B is the elements in A and B. Therefore, for this question, we just need to find the numbers which appeared in both set A and B.

Hope this helps :)