Write a real-world scenario that would fit the given ratio: 4:7

Answer:

31

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{-3+7i}{-6-7i} \times \frac{-6+7i}{-6+7i} =\frac{18-21i-42i-49i^2}{(-6)^2-(7i)^2} \\=\frac{18-63i -49(-1)}{36-49i^2} \\=\frac{18+49-63 i}{36-49(-1)} \\=\frac{67-63i}{36+49} \\=\frac{67-63i}{85} \\=\frac{67}{85} +(\frac{-63}{85} )i\\\)

\(a=\frac{67}{85} \\b=\frac{-63}{85}\)

Answer:

Step-by-step explanation:

1. 1

2. 12

3. 0

The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].

The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).

In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.

So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.

In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].

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Answer:

x = 1

Step-by-step explanation:

Recall: adjacent angles supplementary

Therefore,

65x + 115° = 180°

Subtract 115° from each side

65x + 115° - 115° = 180° - 115°

65x = 65

Divide both sides by 65

65x/65 = 65/65

x = 1

We are asked about the maximum height of the diver given the graph. we notice from the graph that the maximum point is h = 20 feet, therefore, the maximum height is 20 feet.

The most appropriate values are:

z = - 2.23

The corresponding probability is : 0.01297

Mean, μ = 45

Standard deviation, σ = 5

Sample size, n = 31

The standard score, Z ; Since distribution is normal is obtained thus;

Z= (x - μ) ÷ (σ/√n)

For, x = 43

Z = (43 - 45) ÷ (5/√31)

Z = - 2.227

The probability :

Using the standard normal distribution table:

P(Z < - 2.227)

P = 0.01297

Hence, Z = - 2.23

P(x ≤ 43) = 0.0129



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Answer:

1a:  \(\frac{3}{4}\) + \(\frac{1}{3}x\) = \(2\frac{1}{2}\)

1b: See below

1c:  \(2\frac{3}{4}\) inches between the beetle and ant

Step-by-step explanation:

1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.

So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:

\(\frac{3}{4}\) + \(\frac{1}{3}x\) = \(2\frac{1}{2}\)

1b. Solve the equation written above from 1a.

\(\frac{3}{4}\) + \(\frac{1}{3}x\) = \(2\frac{1}{2}\)

-3/4     -3/4   [subtract 3/4 to start the process of getting x by itself]

\(\frac{1}{3}x\) = 1\(\frac{3}{4}\)

*3/1   *3/1 [Multiply Reciprocal to get X by itself]

x= \(5\frac{1}{4}\)

1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them

5 1/4 - 2 1/2 =  \(2\frac{3}{4}\)

These answers were found by using this info:

the beetle is 3/4 inch below the ground level. The beetle climbs 1/3 the distance. The beetle is now 2 1/2 inches below ground.

The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

y - 1= (-3) (x-1)

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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Answer:

the slope is 8

Step-by-step explanation:

the slope is x not sure if its parallel of perpendicular but is i had to gues id guess parallel

Answer:

the slope is 8

the parallel slope is 8

the perpendicular slope is -1/8

The correct answer is C. Airport S has 100 on-time flights, and Airport T has 200 on-time flights. Since 100 is one-half of 200, Airport S has one-half the number of on-time flights that Airport T has.

Given that,

The number of flights that were either on time or delayed at three separate airports on a given day is depicted in the segmented bar chart below.

Which of the following statements is the bar chart evidence for?

The options are : In comparison to the other two airports, A Airport T has the highest proportion of on-time flights.

In comparison to the other two airports, B Airport R has the lowest percentage of on-time flights.

C The proportion of on-time flights at Airport S is less than half that at Airport T.

D The proportion of on-time flights at Airport R is lower than that at Airport S.

E There are exactly as many flights at Airport T as there are at Airports R and S put together.

As the number of flights that were either on time or delayed at three different airports on one day can be exactly represented by

The correct answer is less than half as many flights arrive on time at Airport S than at Airport T.

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The Complete Question is :

Which of the following statements is the bar chart evidence for the number of flights that were either on time or delayed at three different airports on one day.?

The limit of the function as x approaches 0 is 0. We can write this as: lim x→0 ((x² * ln(1-x)) / (x - 1)) = 0.

Function can be defined in which it relates an input to output.

To evaluate the limit of the function, we can substitute the given numbers to see if the function approaches a particular value as x approaches 0.

Let's evaluate the function at x = -1, -0.1, -0.01, 0.01, 0.1, and 1.

When x = -1, we get:

f(-1) = (-1)² * ln(1 - 1) / (-1 - 1) = 0/(-2) = 0.

When x = -0.1, we get:

f(-0.1) = (-0.1)² * ln(1 - 0.1) / (-0.1 - 1) = 0.005807.

When x = -0.01, we get:

f(-0.01) = (-0.01)² * ln(1 - 0.01) / (-0.01 - 1) = 0.000581.

When x = 0.01, we get:

f(0.01) = (0.01)² * ln(1 - 0.01) / (0.01 - 1) = -0.000583.

When x = 0.1, we get:

f(0.1) = (0.1)² * ln(1 - 0.1) / (0.1 - 1) = -0.00585.

When x = 1, we get:

f(1) = (1)² * ln(1 - 1) / (1 - 1) = undefined (division by zero).

As we can see, the function approaches 0 as x approaches 0 from both sides, but is undefined at x=1.

Therefore, the limit of the function as x approaches 0 is 0. We can write this as: lim x→0 ((x² * ln(1-x)) / (x - 1)) = 0.

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Answer:

\( 2ab^2 -d^3 + c \)

Step-by-step explanation:

Given the expression \( 2ab^2 - (d^3 - c) \), all you need to do to evaluate the expression is to open the bracket.

Use the negative sign to multiply all the terms within the bracket alongside the sign they carry.

Thus,

\( 2ab^2 - (d^3 - c) = 2ab^2 -d^3 + c \) (negative sign multiplied by negative sign equal positive sign)

We cannot evaluate \( 2ab^2 -d^3 + c \) further. The me three terms are different from one another. There are no like terms.

The perimeter of the smaller figure among the two figures with similarity ratio of 4:3 is 18cm.

A ratio is a number that allows one quantity to be expressed as a fraction of another quantity. Two numbers in a ratio can only be compared if they have the same units. Use ratios to compare two things.  

The similarity of two similar shapes is the ratio of each pair of corresponding sides. Simply put, when two figures are found to be similar, all pairs of corresponding sides have the same proportions. 

According to the information:

Perimeter of larger figure= 24cm

Let, perimeter of smaller figure be "x"

So,

4:3 = 24/x

4/3 = 24/x

⇒x = (24 x 3)/4

⇒x = 72/4

⇒x = 18

Thus the perimeter of smaller figure is 18cm.

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135 as a product of its prime factors is written as  3 × 3 x 3 x 5

The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.

In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.

From the information given, we have the value as;

135

The prime factors are  3 × 3 x 3 x 5

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Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

A

Step-by-step explanation:

The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.

Answer:

Step-by-step explanation:

The vertex of the graph is a maximum at (-2, 4)

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

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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Answer: The points are, the top left one, (21,3) and the one on the bottom is (6, 12)

Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.

Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3

Answer:

The points are, the top left one, (21,3) and the one on the bottom is (6, 12)

Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.

Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3

Step-by-step explanation:

Answer:

The parent cubic function has been vertically stretched by a factor of 4.

Equation:G(x)= 4\(\sqrt[3]{x}\)

Answer: Option B

OAmalOHopeO

Answer: no

Step-by-step explanation:

Answer:

Triangle A and B

Step-by-step explanation:

The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.

C.

ll real numbers except npi, where n is any integer

on edg2020

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).