explain why the other expressions do not have like terms A. 14m + mn B. 2y + 2x + 4 C. -3/4m + 8m + m D. 4 - 3p E. 5.75t + 7.75t - t F. 8xy - 6xy

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

-2/1

Step-by-step explanation:

hope this helps

Answer:

a) \(P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)\)

\(P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032\)

b) \(P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)\)

\(P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309\)

c) \(P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)\)

\(P(z<2.375)= 0.991\)

Step-by-step explanation:

Let X the random variable that represent the heights of Guinean travels , and for this case we know the distribution for X is given by:

\(X \sim N(160,8)\)  

Where \(\mu=160\) and \(\sigma=8\)

Part a

We are interested on this probability

\(P(148<X<175)\)

We can ue the z score formula given by:

\(z=\frac{x-\mu}{\sigma}\)

Using this formula we got:

\(P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)\)

And we can find this probability with this difference using the normal standard distribution or excel:

\(P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032\)

Part b

\(P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)\)

And we can find this probability with this difference using the normal standard distribution or excel:

\(P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309\)

Part c

\(P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)\)

And we can find this probability with this difference using the normal standard distribution or excel:

\(P(z<2.375)= 0.991\)

The least number of trips that Ava must make in order to deliver 250 cartons of books is 10 trips.

The least number of trips that Ava must make in order to deliver 250 cartons of books can be found by dividing the total number of cartons by the number of cartons that her car can hold per trip.

This can be written as:
Least number of trips = Total number of cartons / Number of cartons per trip

Substituting the given values into the equation, we get:
Least number of trips = 250 cartons / 26 cartons
Least number of trips = 9.62

Since Ava cannot make a fraction of a trip, we need to round up to the nearest whole number. Therefore, the least number of trips that Ava must make in order to deliver 250 cartons of books is 10.

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a. the sum of the first 200 natural numbers is 20,100. b. when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

(a) To find the sum of the first 200 natural numbers, we can use the formula for the sum of an arithmetic series.

The sum of the first n natural numbers is given by the formula: Sn = (n/2)(a + l), where Sn represents the sum, n is the number of terms, a is the first term, and l is the last term.

In this case, we want to find the sum of the first 200 natural numbers, so n = 200, a = 1 (the first natural number), and l = 200 (the last natural number).

Substituting these values into the formula, we have:

Sn = (200/2)(1 + 200)

  = 100(201)

  = 20,100

Therefore, the sum of the first 200 natural numbers is 20,100.

(b) The ball rebounds three-fourths of the distance it drops, so each time it hits the pavement, it travels a total distance of 1 + (3/4) = 1.75 times the distance it dropped.

For the 6th rebound, we need to find the distance the ball traveled when it hits the pavement.

Let's represent the initial drop distance as h (30 ft).

The total distance traveled after the 6th rebound is given by the sum of a geometric series:

Distance = h + h(3/4) + h(3/4)^2 + h(3/4)^3 + ... + h(3/4)^5 + h(3/4)^6

Using the formula for the sum of a geometric series, we can simplify this expression:

Distance = h * (1 - (3/4)^7) / (1 - 3/4)

Simplifying further:

Distance = h * (1 - (3/4)^7) / (1/4)

        = 4h * (1 - (3/4)^7)

        = 4 * 30 * (1 - (3/4)^7)

Calculating the value:

Distance ≈ 4 * 30 * (1 - 0.1335)

        ≈ 4 * 30 * 0.8665

        ≈ 104 ft

Therefore, when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

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Using the equation of lines with the slopes and the properties of the rectangle, The coordinates of D are (7,2).

A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides. The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

A is at (0, 0) and B is at (4, 6), the slope of the line is  (6 - 0) / (4 - 0) = 3/2.

Since the line that connects C and D is perpendicular to the line connecting A and B, the slope of the line connecting C and D is also -2/3.

The y-coordinate of C is 4, we can write the equation of this line as y = -2/3x + 4. We know that the x-coordinate of D is 7, so we can substitute this value into the equation to find the y-coordinate of D.

This gives us y = -2/3(7) + 4 = -14/3 + 4 = -10/3 + 12 = 2.

Thus, the coordinates of D are (7, 2).

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(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:

I can help you with it

Step-by-step explanation:

Answer:

a. p(x) and q(x) have the same domain and the same range.

Step-by-step explanation:

Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? a. p(x) and q(x) have the same domain and the same range. b. p(x) and q(x) have the same domain but different ranges. c. p(x) and q(x) have different domains but the same range. d. p(x) and q(x) have different domains and different ranges.

Answer: The domain of a function is the set of all values for the independent variable (i.e the input values, x values).

The range of a function is the set of all values for the dependent variable (i.e the output values, y values).

Both p(x) = 6–x and q(x) = 6x are linear functions, the domain and range of a linear function is the set of all real numbers i.e for a linear function:

Domain = (-∞, ∞)

Range =  (-∞, ∞)

Therefore p(x) and q(x) have the same domain and the same range.

Answer: It’s A

Step-by-step explanation:

On edge

The triangle ABC, along with it's image after the reflection x = -3, is given on the graph presented at the end of the answer.

The coordinates for the original vertices of the triangle are given as follows:

A(-5, -6), B(-4, -3) and C(-3,-7).

The reflection line is given as follows:

x = -3.

The reflection lines is a vertical line, meaning that for the reflected triangle, the y-coordinate remains constant, while the x-coordinate means that the triangles will be on the same distance relative to the reflected line, however on the opposite direction.

Vertex A has a x-coordinate two units left of x = -3, hence the coordinates of the image will be two units right, hence:

A'(-3 + 2, -6) = (-1, -6).

Vertex B has a x-coordinate one unit left of x = -3, hence the coordinates of the image will be one unit right, hence:

B'(-3 + 1, -3) = B'(-2,-3).

Vertex C remains at the same position, as it has a x-coordinate of -3.

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quick answer: (5x3)3 + (4y4)3

please hit the like button if it is correct :D

The probability of the independent events described, which involves randomly selecting a blue marble and then randomly selecting another blue marble from a bag containing 3 blue marbles and 2 yellow marbles, can be calculated using the multiplication rule of probability.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the first event involves randomly selecting a blue marble. Since there are 3 blue marbles out of a total of 5 marbles, the probability of selecting a blue marble in the first event is 3/5.

For the second event, after the first blue marble has been selected, there are now 4 marbles remaining in the bag, with 2 blue marbles and 2 yellow marbles. Therefore, the probability of selecting another blue marble in the second event is 2/4.

According to the multiplication rule of probability, the probability of two independent events occurring is found by multiplying the probabilities of each individual event. Hence, the probability of randomly selecting a blue marble and then randomly selecting another blue marble is (3/5) * (2/4) = 6/20 = 0.3.

Therefore, the probability of the independent events described is 0.3.

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer: 10 km in one hour

Step-by-step explanation:

If there are nine hours, and we need to find the distance it will cover in one hour, then we need to divide 90 by 9.

90 ÷ 9 = 10

A train covers 10 km in one hour.

Hope this helps!

Answer:

10 km

Step-by-step explanation:

(h means hours)

90km divided by 9h = 10km

9h divided by 9 = 1h

So, in 1 hour the train will cover 10km.

Answer:

114

Step-by-step explanation:

L=9.5 inches  W=1.5 inches H= 8 inches

V=LWH=9.5*1.5*8=114

Answer:

n = -2

Step-by-step explanation:

\( - 6n - 2n = 16\)

➡️ \(( - 6 - 2)n = - 8n\)

➡️ \( - 8n \div ( - 8) = 16 \div ( - 8)\)

➡️ \(n = 16 \div ( - 8)\)

➡️ \(n = - 16 \div 8\)

➡️ \(n = - 2\)

Step-by-step explanation:

the initial Equation :

50 + 20X = 150

it could be changed to :

20X + 50 = 150

=>

20X = 150-50

20X = 100

x = 100/20

x = 5 hours

the correct answer is option A

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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Answer:

ok, here is your answer

Step-by-step explanation:

The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-

Answer:

55

Step-by-step explanation:

Take the number of people surveyed and multiply by the percent that liked documentaries

220 *25%

Change to decimal form

220 *.25

55

Answer:

The answer is 55. .

Step-by-step explanation:

First, you take 25% and turn it into a decimal (0.25). Then, multiply 220 by 0.25 (55). Since it’s only asking for the documentaries, the answer is just 55

Answer:

length: 167 yards

width: 40 yards

Step-by-step explanation:

4x+7

4(40)+7=167

167+167+40+40= 414

Metaphor is a figure of speech that compares two things by stating that one thing is another, without using the words "like" or "as". The figure of speech used in the given statement is metaphor.

Metaphor is a figure of speech that compares two things by stating that one thing is another, without using the words "like" or "as". In the sentence, the speaker uses the metaphor to describe the act of "taking them down fresh from the lips of the fugitives on the way to freedom". This metaphorical expression suggests that the speaker derives satisfaction from directly hearing the stories or testimonies of the escaping fugitives, as if they were tangible objects that can be taken down or collected.

The metaphor adds depth and vividness to the statement, emphasizing the emotional connection and personal involvement of the speaker in the experiences of the fugitives. It conveys a sense of fulfillment and joy derived from firsthand accounts of the fugitives' journey towards freedom.

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The difference between the two approximations is approximately 26.80 so option D is the correct answer.

We have,

To approximate the definite integral  \(e^{x^2}\) from 0 to 2 using two inscribed rectangles of equal width, divide the interval [0, 2] into two subintervals of equal width (h = 2/2 = 1).

Then calculate the area of each rectangle by evaluating the function at the left endpoints of the subintervals.

Now,

Approximation using inscribed rectangles:

Approximation 1

= f(0) * h + f(1) * h

\(= e^{0^2} * 1 + e^{1^2} * 1\)

= 1 + e

Next, use the trapezoidal rule with n = 2 to approximate the definite integral.

Approximation using the trapezoidal rule with n = 2:

Approximation 2 = (h/2) * [f(0) + 2f(1) + f(2)]

= (1/2) * [f(0) + 2f(1) + f(2)]

\(= (1/2) [e^{0^2} + 2e^{1^2} + e^{2^2}] \\ = (1/2) [1 + 2e + e^4]\)

Difference = Approximation 2 - Approximation 1

\(= (1/2) [1 + 2e + e^4] - (1 + e)\\= (1/2) [1 + 2e + e^4 - 2 - 2e - e)\\= (1/2) (e^4 - e - 1)\)

Difference ≈ 26.80

Therefore,

The difference between the two approximations is approximately 26.80.

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Answer:

The lines are certainly not parallel!

Step-by-step explanation:

The slope of line J is 3/2, while the slope of line k is exactly 1 :)

Answer:ITS C!!!! :))

Step-by-step explanation:

Answer:

Angle A is larger than angle C

Step-by-step explanation:

The reason for this is a visual concept. Since A is supplementary to angle B, then A is a greater measure than B, making B complimentary. B is complementary to Angle C making B the smallest angle, C the "medium angle" and A the largest angle. From this however, we can conclude angle A is larger than angle C.

The annual growth rate is approximately 0.1151, or 11.51%.

The number that should be added to the exponential growth model for Middletown's speeding tickets depends on the specific parameters of the model.

However, we can use the given information to estimate the growth rate and make some predictions.

Let P(t) be the number of speeding tickets issued in Middletown t years after 2006, and let r be the annual growth rate (in decimal form).

Then the exponential growth model is:

P(t) = P0ert

where P0 is the initial amount of speeding tickets issued in 2006, which is 170.

To find the annual growth rate, we can use the fact that the number of tickets issued doubles every 6 years, which means:

P(6) = 2P0= 2(170) = 340P(12) = 2P(6) = 2(340) = 680P(18) = 2P(12) = 2(680) = 1360

and so on.

We can plug these values into the exponential growth model to get:340 = 170er(6)ln(2) = 6rln(2)r ≈ 0.1151 (rounded to 4 decimal places)

Therefore, the annual growth rate is approximately 0.1151, or 11.51%.

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Answer:

1) 63

2) 49

3) 87

4) 44

Step-by-step explanation:

The dilation is am enlargement or a reduction then the scale factor be 2.

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).

To scale shapes in various dimensions, utilize the scale factor. Different geometrical shapes, both in two- and three-dimensions, are covered in geometry classes. The scale factor is a way to compare figures that appear to be similar but actually have distinct scales or measurements.

A scale factor is the amount by which a thing is multiplied to produce a separate object that has the same appearance but is a different size. It creates a precise copy that is just bigger or smaller than the original. Scale Factor multiplies the image or object in the same way as a copy machine would enlarge or reduce it.

Taking two points and dividing them would yield the factor.

For instance, if the point was between x = 2 and x = 4, their division would be 4/2 = 2, as shown on the right side.

Now, if we split the points x = -1 and x = -2 on the left side, we get -2/-1 = 2.

Therefore, the scale factor be 2.

The complete question is;

22. the blue figure is a dilation image of the black figure. The center of the dilation is O. Tell whether the dilation is am enlargement or a reduction. Then find the scale factor

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Answer:

Step-by-step explanation:

1. ST > MN (ST is NOT congruent to MN)

2. BA > BC (not congruent)

3. m∠L < m∠P and m∠T < m∠R

4. m∠A < m∠B and m∠C

   m∠D and m∠E > m∠F

I am not sure what the questions are yet hope it helps