Select all the expressions that are equivalent to 3x−4+2x−6.

We are given a problem regarding trigonometric identities and asked to resolve for theta.

Recall that:

Therefore, we have:

In radians, we have:

Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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Answer:

Mi-Ling saves more money.

Step-by-step explanation:

At 3 weeks Mi-Ling has saved $45, whereas Daniel at 3 weeks has only saved $30

Answer:

d=4

Step-by-step explanation:

The frequencies present in the resulting discrete-time signal x [n] are f1 = 600 Hz and f2 = 1800 Hz.

Given input signal is,8(t) = 3cos(600xt) + 6cos(1800xt)Sampling frequency (fs) and folding frequency (ff) can be found as follows: We know that Nyquist rate is given as, Nyquist rate = 2 × Maximum frequencyMaximum frequency is the highest frequency present in the input signal Maximum frequency, fm = 1800 HzNyquist rate,

fN = 2fm

= 2 × 1800

= 3600

Hz Quantization is the process of converting continuous valued signal to discrete valued signal, to do this, input signal is divided into fixed number of discrete levels. Each input sample is quantized into 1024 different voltage levels. Therefore, Resolution, A = 1024Different frequencies present in the input signal can be found as follows: Given input signal is,8(t) = 3cos(600xt) + 6cos(1800xt)

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To calculate the interest owed after 93 days, we use the formula for simple interest: Interest = Principal x Rate x Time. Substituting the given values, the interest amounts to $624.49.

This is the total interest that Melissa will owe to the bank after 93 days.Melissa took out a loan of $15,400 from a bank for home renovations. The bank charges a simple interest rate of 16% per year If Melissa doesn't make any payments towards the loan, the total amount owed after 93 days is obtained by adding the principal and the interest together.

Therefore, the total amount owed would be $16,024.49. This means that if Melissa does not make any payments during the 93-day period, her loan balance will increase to approximately $16,024.49, including both the original principal amount and the accrued interest.

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Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.

Answer: B.

Answer:

72 degree

Step-by-step explanation:

It is given that :

Sports   Hours

Soccer     5

Jogging   20

Walking    10

Skiing        5

Football   10

                50 hours

The total hour is given as 50 hours. Out of which walking is 10 hours.

Therefore, in degree the portion of walking will be :

  \($=\frac{10}{50} \times 360^\circ$\)

 \($=72^\circ$\)

The main  Miguel's statement about rotating, reflecting, or translating a trapezoid to produce another trapezoid resulting in two similar trapezoids is correct.

However, his statement about dilating a trapezoid to produce another trapezoid resulting in two similar trapezoids is incorrect.


Similar figures have the same shape but not necessarily the same size. When a trapezoid is rotated, reflected, or translated, its angles and sides remain the same, and therefore, the resulting trapezoid is similar to the original.

On the other hand, when a trapezoid is dilated, its sides are stretched or shrunk by a scale factor, which changes the ratios of the sides and angles, making the resulting trapezoid not similar to the original.

Therefore, Miguel's statement about rotating, reflecting, or translating a trapezoid to produce another trapezoid resulting in two similar trapezoids is correct, while his statement about dilating a trapezoid to produce another trapezoid resulting in two similar trapezoids is incorrect.

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The measure of a central angle is equal to the measure of the intersected arc.

Then, arc CD is equal to 55º

Arc EDC is equal to the sum of ars CD and DE:

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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Answer:

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

Let the dimensions be x and y.

The area is:

When sides have changed we get:

The new area is:

The difference in areas is:

It represents 17% increase.

The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.

Frequency Distribution:

Digit Frequency

0 3

1 5

2 9

3 5

4 3

5 4

6 4

7 4

8 2

9 1

From the distribution of the digits, it appears that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.

The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements. For example, the frequency of the digit '2' is more than twice as high as the frequency of the digits '1' and '3', which is not likely to occur in a set of actual measurements.

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The equation of each line given the y-intercept and x-intercept

5 and -4 is 4y- 20 = 5x.

The line has an x-intercept at x = -4 and y intercept at y = 5 this means that the line passes through the points(,0) and(,5).

Now we find the pitch m of the line passing through the points(,0) and(,5)(x-intercept).

The pitch of the line is

m = y2- y1/ x2- x1

= 5- 0/ 0-(- 4)

= 5/ 4

Point- pitch Formula y = m(x-x1)

where m is the pitch and( x, y) is the given point.

Now substituting the values

y- 0 = (5/4)( x-(- 4))

y = (5/4)( x 4)

4y- 20 = 5x

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The complete question :

Find the equation of the line that has an y intercept and x-intercept at

5 and -4.

​

Answer:

\( \boxed{ \bold{ \huge{ \bold{ \sf{20.05 \: \pi \: units}}}}}\)

Step-by-step explanation:

Area of a circle ( A ) = 32 π units

Radius of a circle ( r ) = ?

Perimeter of a circle ( P ) = ?

First ,finding the radius of a circle :

\( \boxed{ \sf{area \: of \: a \: circle = \: \pi \: {r}^{2} }}\)

\( \dashrightarrow{ \sf{32 \: \pi= \: \frac{22}{7} \times {r}^{2} }}\)

\( \dashrightarrow{ \sf{32\pi \: = 3.14 {r}^{2} }}\)

\( \dashrightarrow{ \sf{3.14 {r}^{2} = 32\pi}}\)

\( \dashrightarrow{ \sf{ \frac{3.14 {r}^{2} }{3.14} = \frac{32\pi}{3.14} }}\)

\( \dashrightarrow{ \sf{ {r}^{2} = 10.19 \: \pi \: }}\)

\( \dashrightarrow{ \sf{r = \sqrt{10.19\pi} }}\)

\( \dashrightarrow{ \sf{r = 3.19\pi}}\)

Finding the perimeter of a circle ( P )

\( \boxed{ \sf{perimeter \: of \: a \: circle = 2\pi \: r \: }}\)

\({\sf{ \: perimeter \: of \: a \: circle = 2 \times \frac{22}{7} \times 3.19 \: \pi}}\)

\( \sf{perimeter \: of \: a \: circle = 20.05 \: \pi \:units }\)

Hope I helped!

Best regards! :D

The perimeter of the circle with an area of 32 π square units is 2√32π units.

Given,

The area of a circle is 32 π square units.

We need to find its perimeter.

The area of a circle is given by:

= π r²

The perimeter of a circle is given by:

= 2πr

Where r = radius

Find the area of a circle.

Area = π r²

32 π  = π r²

Divide both sides by π

32 = r²

r = ±√32

r can not be negative so we have,

r = √32

Find the perimeter of a circle.

P = 2πr

P = 2 x π x √32

P = 2√32 π units

The perimeter of the circle with an area of 32 π square units is 2√32π units.

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Answer:

planet of the apes?

Answer:

2 if u add the values given you will notice it is high

The statement best describes the depth of the fish is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second

In order to know which statement best describes the depth of the fish, we have to first understand what the equation means:

Given: the equation y = -5x – 9

This can be likened to the equation of a straight line, which is of the form y =mx +c,

where m is the slope and c is the y-intercept

Comparing the given equation with the equation of a line :

y = -5x – 9

Slope(m) = -5 and  y-intercept(c) = -9

The y-intercept represents the starting while the slope is the rate of descend

Therefore, what this means is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second.

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Answer:

Step-by-step explanation:

To write 0.246 as a fraction in simplest form, we need to remove the decimal and reduce the fraction to its lowest terms.

Step 1: Write 0.246 as the fraction 246/1000.

(Note: We get the denominator 1000 by counting the number of decimal places after the 6 in 0.246.)

Step 2: Simplify the fraction by dividing both the numerator and denominator by the greatest common factor.

The greatest common factor (GCF) of 246 and 1000 is 2.

246/2 = 123

1000/2 = 500

Therefore, 0.246 written as a fraction in simplest form is 123/500.

Answer:if I’m correct I think you would put it like this 123/500

It can’t be reduced because the denominator is at it’s simplest form

Step-by-step explanation:

The angle of elevation from Phillip to the space shuttle is 1.64°, calculated using the Pythagorean theorem and the square root of both sides.

Given that Phillip is watching a space shuttle launch from an observation spot 66 miles away and the space shuttle is at a height of 1.9 miles. The angle of elevation from Phillip to the space shuttle can be found using the following formula: tan θ = opposite/adjacent Where θ is the angle of elevation, opposite is the height of the shuttle, and adjacent is the distance between the shuttle and the observation spot. Using the Pythagorean theorem, we can find the hypotenuse as follows:hypotenuse² = opposite² + adjacent²Substituting the given values, we get:hypotenuse² = 1.9² + 66²= 3.61 + 4,356= 4,359.61Taking the square root of both sides, we get: hypotenuse ≈ 66.083 miles Substituting the given values in the first formula to find the angle of elevation, we get: tan θ = 1.9/66.083θ

tan⁻¹(1.9/66.083)θ ≈ 1.64°Therefore, the angle of elevation from Phillip to the space shuttle is approximately 1.64°.

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We need to know about z-score to solve the problem. The z-score of the soda is 0.6

A z-score tells you how many standard deviations away an individual data falls from the mean. We can calculate z-score from the standard deviation and mean of the data. In this question we know that the cost of a soda is $1.15 and the mean is $1.00 and the standard deviation is $0.25.We need to calculate the z-score of the soda with the given information.

z-score=x-μ/σ=1.15-1.00/0.25=0.15/0.25=0.6

Therefore the z-score of the soda is 0.6

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Answer:

Amelia

Step-by-step explanation:

2 cups is equal to 1 pint. So if you do 5(pints)x2 you get 10. 24-10=14. Amelia sold 14 more cups than Zach.

Answer:

Amelia sold more than Zach, 1 cup = 0.5 pint therefore a cup is way more than one pint. 24 cups = 12 pints

There are 11 questions worth 5 points and 3 questions worth 15 points.

To find the correct number of questions:

Let, 5-point questions are x and 15 marks questions are y.

The total points are 100 so the other equation will be:

Now, multiply equation (1) by 5 and then subtract it by equation (2) as follows:

Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.

Now,

So, questions worth 15 marks are 3 then, and questions worth 5 marks will be 14 - 3 that is 11.

Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.

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5 is common to both factors, hence the greatest common factors of 80 and 45 is 5

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

According to the question, we are to find the factor of 80 and 45

For 80 =16 * 5

For the value of 45;

45 = 9 * 5

Since 5 is common to both factors, hence the greatest common factors of 80 and 45 is 5

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Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings

Step-by-step explanation: took the quiz.

The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).

The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.

The formula for finding the break-even point is:

Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)

Where:

Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.

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The correct steps that best describe the scientific method are:

The scientific method has five basic steps, plus one feedback step:

The scientific method is a systematic approach to scientific inquiry that involves a series of steps used to investigate, test, and understand natural phenomena

The process of the scientific method involves making conjectures (hypotheses), deriving predictions from them as logical consequences, and then carrying out experiments or empirical observations based on those predictions.

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