4) x/5 =2
plz explain

Answers

Answer 1
Step 1: Multiply both sides by 5.

4x = 2
5
(4x) * (5) = (2) * (5)
5

4x = 10

Step 2: Divide both sides by 4.

4x = 10
4 4

Answer:

x = 5
2

Related Questions

Pls help and explain

Answers

Answer:

$48/4 pizzas

Step-by-step explanation:

A ratio is a fraction that relates one variable to another.

⭐ A proportion is when you make two ratios equal to each other to solve for one of the variables.

We want to find what it costs for Mike to buy 4 pizzas. To achieve this, we must make a proportion.

The first ratio we are given is $12/1 pizza, which means that it costs $12 for 1 pizza.The ratio for Mike buying 4 pizzas is x/4 pizzas, where x is the cost of buying 4 pizzas.Set these two ratios equal to each other and solve for x. *remember: keep the numerators and denominators the same units.[tex]\frac{12}{1 pizza} = \frac{x}{4 pizzas}[/tex]Multiply both sides of the equal sign by 4 to isolate the variable x.[tex]\frac{12}{1 pizza} (4) = \frac{x}{4 pizzas} (4)[/tex][tex]48 = x[/tex]∴ It costs Mike $48 for 4 pizzas.Now we need to write the ratio of cost to pizzas for buying 4 pizzas.$48/4 pizzas

Which way is negative infinity?

Answers

Negative infinity is a concept that has no direction and function. It is the lowest possible number and is represented by the symbol "-∞".

Negative infinity is the lowest possible number, meaning there is no lower number than negative infinity. It is a concept that has no direction, meaning it is not a specific point on a number line. It is represented by the symbol "-∞", which can be thought of as a point before the beginning of the number line. Negative infinity is an abstract concept, but it is still used in mathematical operations. For example, if you have a set of numbers that contains negative infinity, then the sum of all the numbers in the set will be negative infinity. This is because negative infinity is the lowest possible number, so no matter how large the other numbers in the set are, the sum will always be lower than all of them.Negative infinity can also be used to represent undefined limits. For example, if you are looking at a graph of a function, and the y-axis goes to negative infinity, then the limit of the function at that point is undefined. This is because there is no lower number than negative infinity, so the limit cannot be determined.Negative infinity is a concept that can be confusing, but it is an important part of mathematics. It is used to represent the lowest possible number, as well as undefined limits. It is represented by the symbol "-∞" and has no direction.

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Is 5 a high standard deviation?

Answers

Yes, 5 is the high standard deviation which is considered very good.

What is a standard deviation evaluation?A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. In contrast, a low or a high standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points seem to be close to the mean.

85 persons responded to my survey about their capacity to carry out specific duties.

The responses are rated on a Likert scale of 1 to 5:

2 = Poor, 1 = Very Poor, 2 = Poor, 4 = Good, 3 = Average, 5 = Very GoodIts standard deviation is 0.54 and the mean score is 2.8.

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For the polynomial function f(x) = x5-x4-9x3 + 9x2, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.

A.) x = -3, cross; x = 0, cross; x = 1, cross; x = 3, cross

B.) x = -3, cross; x = 0, cross; x = 1, cross; x = 3, touch

C.) x = -3, cross; x = 0, touch; x = 1, cross; x = 3, cross

D.) x = -3, cross; x = 0, cross; x = 1, touch; x = 3, touch

Answers

Answer:

  C.) x = -3, cross; x = 0, touch; x = 1, cross; x = 3, cross

Step-by-step explanation:

You want the zeros and their multiplicity of f(x) = x^5 -x^4 -9x^3 +9x^2, along with a description of whether the graph crosses or touches the x-axis at each zero.

Factors

The equation can be factored as ...

  f(x) = x^2(x^3 -x^2 -9x +9)

The cubic can be factored as ...

  x^3 -x^2 -9x +9 = x^2(x -1) -9(x -1) = (x^2 -9)(x -1)

and the quadratic factor can be factored as the difference of square. The complete factorization is then ...

  f(x) = x^2(x -1)(x -3)(x +3)

Zeros

The zeros are the values of x that make the factors zero:

x = 0, multiplicity 2x = -3, multiplicity 1x = 1, multiplicity 1x = 3, multiplicity 1

Touch/Cross

When the multiplicity of a zero is even, the graph touches the x-axis. Here, that means the graph will touch at x=0, where the multiplicity of the zero is 2.

When multiplicity is odd, the graph will cross the x-axis. The graph crosses at the zeros -3, -1, +3.

__

Additional comment

As soon as you recognize that the x^2 factor means the multiplicity of x=0 is even, you can identify the correct answer choice: the only one that says "touch" for x=0.

What are the factors of 3x² 4x 4?

Answers

The factors of the quadratic equation 3x² -4x -4 are (3x + 2)(x - 2)    .

The process of factoring the quadratic equation means expressing the given equation as the product of two linear factors.

The quadratic expression is given as 3x² -4x -4 ;

it can be written as ⇒ 3x² -6x +2x -4    ,...by using split the middle term method .

⇒ 3x(x - 2) + 2(x - 2) ..taking 3x common from first two terms and 2 common from the last two terms .

⇒ (3x + 2)(x - 2)

Therefore , the factors are (3x + 2)(x - 2)  .

The given question is incomplete , the complete question is

What are the factors of the quadratic equation 3x² -4x -4 ?

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The eccentricity of the conic section below is
A. Closer to 0 than 1
B. Closer to 1 then 0

Answers

The eccentricity of the conic section below is: A. closer to 0 than 1.

What is a conic section?

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

Hyperbola: its eccentricity is greater than one (1).Parabola: its eccentricity is equal to one (1).Ellipse: its eccentricity is 0 < e < 1.Circle: its eccentricity is equal to zero (0).

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

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Describe what is happening in the graph below.

A. The function is steady, and then it increases
B. The function decreases sharply, and then it stays the same
C. The function increases a little, and then it decreases sharply
D. The function stays constant, and then it decreases sharply
(Picture of graph included)

Answers

d as in the beginning it isn’t moving it is a straight line and then it decreases rapidly as it’s is moving downwards

D.

The line never increases, so we can cancel out A and C.

The line starts off straight, so it's not B.

So, the answer is D. since it starts off constant and then decreases sharply.

The last step mentioned in building equations to solve real-world problems is to check your answer by substituting it into the original equation. Another way to check your answer is to use estimation and to make sure the answer is reasonable for the situation. In the problem above, are all of the solutions reasonable for the given situation? Why or why not?

Answers

Graphing, substitution, and elimination are the three techniques used to solve systems of equations.

What is meant by linear equation ?

There is only one way to know the unknown variable X. As a result, d has a value of 1. To find an equation, we must know the variable(s) that are missing as well as any associated known variable(s).

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

The first-degree equations are linear equations. This is the formula for a straight line. Ax+by+c = 0, where a and b are both zeros, is the conventional form of a linear equation.Anything connected to a line is said to be linear.

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How do you find the median step by step?

Answers

The median is the exact middle number in a sequence or set of numbers.

Steps to find the median is given below:

Finding the Median in an Odd Set of Numbers:

Step 1: Sort your set of numbers from least to greatest. If they're scrambled, line them up, starting with the lowest number and ending with the highest number.

Step 2: Find the number that is exactly in the middle. This means that the median number has the same amount of numbers in front of it as it does behind it.

Finding the Median in an Even Set of Numbers

Step 1: Sort out your set of numbers from least to greatest. An even set of numbers is going to have two numbers exactly in the middle.

Step 2: Find the average of the two numbers in the middle. If 2 and 3 are both in the middle, so you need to add 2 and 3, then divide the sum by 2. The formula for finding the average of two numbers is (the sum of the two middle numbers) ÷ 2.

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One of the solutions to the quadratic equation x - 12x – 45 = 0 is x = -3 Which statement is true? Select all that apply. (Check Screenshot)

Answers

Answer:

1st and 3rd 4th

graph of f(x) = x² - 12x-45 has an x-intercept at x = -3

-3 is a zero of the function f(x) = x²-12x- 45

x + 3 is a factor of x² - 12x-45

Steps:

other solution is (x - 15) or x = 15

x² - 12x-45

2 numbers that when multiplied give -45 & when added give -12 are -15 & 3

(x-15) (x+3)

"zero" is a fancy way for asking for the answer or root

imaginary number is i which is √-1 so

if you have √-9 = √9 * √-1 = 3i

if you have √-20 = √4 * √-1 * √5 = 2i√5

.

What are the 5 ways to prove triangles similar?

Answers

Five different ways to prove the given triangles are similar is given by :

SAS, SSS, ASA, AA, and RHS.

Five different ways to prove triangles are similar is given by:

1. SAS (Side-Angle-Side) : If the corresponding sides of one triangle are in proportion to the other triangle and included angle is of equal measure.

2. SSS(Side-Side-Side): If the corresponding sides of one triangle are in proportion to the other triangle

3. ASA(Angle - Side- Angle) : If the two angles of one triangle are equal to the angles of other triangle and included side is in proportion.

4. AA( Angle-Angle) : If two adjacent angle of one triangle is equal to the measure of other triangle.

5.  RHS(Right angle- Hypotenuse - side). If the hypotenuse and one of one right triangle are in proportion to another.

Therefore, five different ways to prove the given triangles are similar is given by : SAS, SSS, ASA, AA, and RHS.

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Need help with this question. Please !!!!!

Answers

The required coordinates of point B are (2, 3) which is the correct answer would be option (C).

To find the coordinates of point B, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.

As per the question, we are given the coordinates of points A and O, which are (4, 5) and (3, 4), respectively.

We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AO.

Let the coordinates of B would be (x, y)

Substituting the coordinates of points A and O into the midpoint formula gives us :

3 = (x+4)/2 ; 4 = (y+5)/2

6 = x +4; 8 = y + 5

x = 2; y = 3

Therefore, the required coordinates of point B are (2, 3).

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A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophia places a 11-foot tall pole to support the guy wire. After placing the pole, sophia measures the distance from the stake to the pole to be 4 ft. She then measures the distance from the pole to the tower to be 32 ft. Find the length of the guy wire, to the nearest foot.

Answers

The length of the guy wire, to the nearest foot, is 201 ft.

Refer to the diagram attached below for the given information

We have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 4 ft

BD = 32 ft

Length of the guy wire (AE)

Since ΔABE ~ ΔCDE, therefore,

AB/CD = BE/DE (proportional sides)

Plug in the values:

AB/11 = (32 + 4)/2

AB/11 = 36/2

Cross multiply:

AB = (36 × 11)/2

AB = 198 ft

Apply Pythagorean Theorem to find AE:

AE = √(AB² + BE²)

AE = √(198² + 36²)

AE = 201 ft (nearest foot)

Therefore, the length of the guy wire, to the nearest foot is 201 ft.

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We have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 4 ft

BD = 32 ft

Length of the guy wire (AE)

Since ΔABE ~ ΔCDE, therefore,

AB/CD = BE/DE (proportional sides)

AB/11 = (32 + 4)/2

AB/11 = 36/2

AB = (36 × 11)/2

AB = 198 ft

AE = √(AB² + BE²)

AE = √(198² + 36²)

AE = 201 ft (nearest foot)

a cylinder whose height is 7cm and total surface area is 1936/7 . find radius

Answers

The radius of the cylinder 37cm.

How to find radius?The radius of a circle is the distance a circle's center from any point along its circumference. Usually, "R" or "r" is used to indicate it.Cylinder y's Curved Surface Area (CSA) Its other name is lateral surface area (LSA). The formula for the curved surface area (CSA) of a cylinder with base radius "r" and height "h" is: CSA of cylinder = 2rh sq. units.

cylinder's entire surface area is equal to 2r(h+r).

total surface area = 1936 square cm

height=7 cm

radius is

therefore,

2πr(h+r)=1936

2πr(r+7)=1936

44(r+7)=1936

r+7 = 1936/44

r+7=44

r= 44-7 =37

r=37cm.

The radius of the cylinder 37cm.

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Hodor combines 3 quarts of a 5% sugar solution and 2 quarts of an 8% sugar solution. How many additional quarts of a 12% sugar solution must be added to make a 10% sugar solution?

Answers

Katie needs 9.5 quartz of the 12% sugar solution to make the 10% sugar solution.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons

The data of the sugar solutions are;

The volume of 5% sugar solution Kate has = 3 quarts

The volume of the 12% sugar solution = X

Let 'Y' represent the volume of the 8% sugar solution, we have;

The volume of the resultant solution, Z = X + Y + 3

The concentration of the resultant solution = 10%

0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)

Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, we have;

X = (2 × 2 + 15)/2 = 9.5 Quartz

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In the parallelogram below,
x = [? ]
3x+7
75x-17

Answers

Answer:

x=12

Step-by-step explanation:

3x+7 = 5x-17

-2x=-24

x=12

Hope this helps you can thank me if this helps and 5 star if you dont mind :)

Answer:

x=12

Step-by-step explanation:

The two sides must be equal in length

3x+7 = 5x-17

Subtract 3x from each side

3x-3x+7 = 5x-3x-17

7 = 2x-17

Add 17 to each side

7+17 = 2x-17+17

24 = 2x

Divide each side by 2

24/2 = 2x/2

12 =x

The table describes the quadratic function p(x).


x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46

What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2

Answers

The equation of the quadratic function is (c) f(x) = 3(x - 1)² - 2

How to determine the equation of the quadratic function?

From the question, we have the table of values that can be used in our computation:

A quadratic equation is represented as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

From the graph, we have the vertex to be

(h, k) = (1, -2)

Substitute (h, k) = (1, -2) in f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 1)² - 2

Also, from the graph, we have the point (0, 1)

This means that

a(0 - 1)² - 2 = 1

So, we have

a(1) = 3

Divide both sides by 1

a = 3

Substitute a = 3 in f(x) = a(x - 1)² - 2

f(x) = 3(x - 1)² - 2

Hence, the equation is f(x) = 3(x - 1)² - 2

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Can two equilateral triangles always be congruent Is it true or false?

Answers

False
Must use these cases for congruent
Must use at least one angle are congruent in each triangle

what is the weekly average proportion of opposed feeling? group of answer choices 0.225 0.025 none of the above 0.125 0.200

Answers

The weekly average proportion of opposed feeling is 0.0375. (Option D)

A sample proportion is the proportion of individuals in a sample who have a particular characteristic of interest. It refers to the number of successes (success means that an individual possesses the characteristic of interest) of the sample divided by the sample size. According to the provided data, the number of successes in the sample size is 30 and the sample size is 100. Hence, the sample proportion is:

Sample proportion = 30/100 = 0.3

As the survey is conducted weekly for eight weeks, the average proportion of the samples is determined by sample proportion divided by number of weeks. Hence,

Average proportion = 0.3/8 = 0.0375

Note: The question is incomplete. The complete question probably is: A Glassboro township is concerned about adverse public reaction to a trash recycling project that is currently in progress. Because of this, the commissioner of public works has authorized a weekly survey to be constructed of township residents. Each week, a sample of 100 residents are questioned on their feeling toward the project. The results to date are shown below. What is the weekly average proportion of opposed feeling? (3 pts.) a. 0.0250 b. 0.1250 c. 0.3000 d. 0.0375 e. None

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How do the base and height of the rectangle compare to the base and height of the parallelogram?

Answers

In Parallelogram: Area = base x height(perpendicular distance).

In rectangle: Area = base x height.

Explain some properties of the parallelogram?

Parallelogram:

A parallelogram is a particular sort of polygon. It's a quadrilateral in which the opposite side pairs are parallel to one another.

Congruent sides are those when AB = DC.Congruent opposite angels are D = B.(A + D = 180°) Consecutive angles are supplementary.All angles are correct if just one of them is.A parallelogram's diagonals cut each other in half.A parallelogram can be divided into two congruent pieces along each diagonal.

Area = base x height(perpendicular distance)

Rectangle:

A quadrilateral having four equal internal angles is a rectangle.A rectangle's opposing sides are equal as well as parallel to one another.Each vertex of a rectangle has a 90° internal angle.The total of a rectangle's internal angles is 360°.The diagonals cut each other in half.The diagonals are all the same length.

Area = base(length) x height(width).

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Write the equation of the line that passes through the points (-9,-9) and (−8,1).

Answers

Answer: slope= change in y-intercept and x-intercept

Step-by-step explanation:

1-9=-8

-8- -9=1

-8/1=-8

Rewrite the equation using completing the square.

Answers

Answer: 8*8=64

               6*6*=216

64-216+21=0

Step-by-step explanation:

17. एउटा वस्तुको अङ्कित मूल्यमा 20% छुट दिएपछि 13% भ्याट जोडेर रु. 18080 मा बिक्री गरियो भने उक्त वस्तुको अङ्कित मूल्य पत्ता लगाउनुहोस् । (Allowing 20% discount on the marked price of an article, the value of the article will be Rs. 18080 when a VAT of 13% is added, find its marked Ans: Rs. 20,000 price.) ​

Answers

Answer:

11111111111111111111

You are planning on installing a security system at your home. For Safety First Security, you can get monitoring for $2 a day with a one-time set-up fee of $150. For Home Safety Security, you can get
monitoring for $1.50 a day with a one-time set-up fee of $200. Using substitution, find the number of days for which both companies would cost the same.

Answers

Answer:5

Step-by-step explanation:

a one-time set-up fee of $200. so that's one day a one-time set-up fee of $150. and that's day 2

What is the mean of the following data set 4 8 11 12 13?

Answers

Answer:

9.6

Step-by-step explanation:

What is the mean of the following data set 4 8 11 12 13?

Mean: is the average of values so:

(4 + 8 + 11 + 12 + 13) / 5 = 9.6

Does asymptote mean undefined?

Answers

A vertical asymptote does mean undefined in a way, but asymptotes act like limits to a function, meaning a function will never intercept them.

For example:

Take the function: f(x)=1/x^2-9

A vertical asymptote occurs when the domain cannot be a certain value, thus the function cannot cross the line for that value because there is no input nor output. So, in a way, they can be considered undefined.

In the example, we must set the denominator equal to 0 in the rational function, since a number divided by 0 is undefined. We are trying to figure out what value for x creates a denominator of 0, and that will be a vertical asymptote.

x^2-9 is the denominator terms

x^2-9=0

We must solve for x to figure out what domain value for x equals a denominator of 0:

Add 9 to both sides:

x^2=9

Take the positive and negative square roots of 9:

±√x^2=±√9

x=3, -3

So, our vertical asymptotes in this example are the lines x=3 and x=-3



This is because 1/(3)^2-9=1/0 and 1/(-3)^2-9=1/0, both of which are undefined.

Is AAA a triangle congruence theorem?

Answers

A triangle AAA does not satisfy congruence theorem. Triangle denoted by AAA refers a triangle having three equal side lengths and three equal angles.

what is congruence theorem?

Congruence theorem is developed based on two triangles which have equal corresponding side lengths and equal corresponding angles.

what are the criteria for satisfying congruence theorem?

there are four criteria in where one or more criteria needed to satisfy. if two triangles have all three equal side lengths and equal corresponding angles then they satisfy congruence theorem. if two triangles have 2 equal side lengths and angle between sides are equal, they satisfy congruence theorem. If two triangles have equal two angles along

with equal similar side length, they satisfy congruence theorem.

hence, the triangle mentioned in the question is not congruent.

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Answer:

FALSE

Step-by-step explanation:

The angles can be the same, but the lengths of the sides can differ.

Which would cost more: 15 trips to Boston or 11 trips to New York? Explain

Answers

Answer:

I think 11 trips to New York because it's a popular tourist attraction.

A diver leaps from the edge of a diving platform into a pool below. The figure shows the initial position of the diver and her position at a later time. At time t seconds after she leaps, the horizontal distance from the front edge of the platform to the diver's shoulders is given by xXt and the vertical distance from the water surface to her shoulders is given by t), where x(t) and yt) are measured in meters. Suppose that the diver's shoulders are 11.4 meters above the water when she makes her leap and that d0.8 and dar 3.6 9.8t for Os ts A, where A is the time that the diver's shoulders enter the water. image y0) Note: Figure not drawn to scale Question 1 (3 points) Find the maximum vertical distance from the water surface to the diver's shoulders. Question 2 (2 points) Find A, the time that the diver's shoulders enter the water Question 3 (2 points) Find the total distance traveled by the diver's shoulders from the time she leaps from the platform until the time her shoulders enter the water. Question 4 (2 points) Find the angle e. 0くθ 〈 π , between the path of the diver and the water at the instant the diver's shoulders enter the water.

Answers

A- The maximum vertical distance from the water surface to the diver’s

shoulders are 12.061 meters.

B- The time that the diver’s shoulders enter the water is 1.936 seconds.

C- The total distance traveled by the diver’s shoulders from the time

she leaps from the platform until the time her shoulders enter the water is 12.946 meters.

D- The angle, θ between the path of the diver and the water at the instant the diver’s shoulders enter the water is 1.519.

A-  

[tex]\frac{dy}{dx} =0[/tex] only when [tex]t=0.36735[/tex]. Let [tex]b=0.36735[/tex]

The maximum vertical distance from the water surface to the diver’s

shoulders is y(b)=11.4 + [tex]\int\limits^b_0 \frac{dy}{dT} dt = 12.061[/tex] meters.

B-

[tex]y(A)=11.4+\int\limits^A_0 \frac{dy}{dt} dt = 11.4+3.6A- 4.9A^{2} =0[/tex]

when A= 1.936 seconds.

C-

[tex]\int\limits^A_0 {\sqrt{(\frac{dx}{dt} )^{2} + (\frac{dy}{dt} )^{2} } } \, dt = 12.946 m[/tex]

At time A, dy/dx = [tex]\frac{dy/dt}{dx/dt} | _{t=A} = -19.21913[/tex]

D- The angle between the path of the diver and the water is [tex]tan^{-1} (19.21913) = 1.518 or 1.519[/tex]

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6. From the menu, select the correct
approximation.
If the expression
√24 × √10
represents the area of a rectangle, then
the approximate area of the rectangle is


60 square units
15 square units
8 square units
120 square units

Answers

The approximate area of the rectangle as per the options will be equal to 15 square units. Hence, option B is correct.

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the amount of unit squares which completely encompass the surface of a compact figure.

The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the given information in the question,

Let the length is given as, l = √24 and,

The width is given as, w = √10

Use the formula of area of rectangle,

A = lw

A = √24 × √10

A = 4.89 × 3.16

A = 15.45 ≈ 15 square units.

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