Please help , will mark

answer:

3x^3=4x

step-by-step explanation:

hope that helps!

\(x = \frac{b + a}{2} = \frac{50 + 5}{2} = \frac{55}{2} = 27.5\)

\(xb = b - x = 50 - 27.5 = 27.5\)

\( \frac{2}{3} xb = \frac{2}{3} (27.5) \approx18.34\)

\(t = \frac{2}{3} ab = \frac{2}{3} (b - a) = \frac{2}{3} (45) =15 \\ \)

Answer:

8

Step-by-step explanation:

Given hotel bill = ₹4800

Let initially, number of people = \(x\)

Initial Bill of each person = Hotel bill divided by number of people = \(\frac{4800}{x}\)

4 people are added to the hotel stay.

i.e. new number of people = \(x+4\)

New bill becomes ₹200 less for each person.

New bill for each person = \(\frac{4800}{x}\) - 200

Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.

\(4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible\)

We found that f(1/2) is approximately 2.98 by integrating f"(x) to get f'(x) and using the given conditions to solve for the constants C1 and C2 in the general solution for f(x).

To find f(1/2), we first need to integrate f"(x) which gives us f'(x) = cos(x) + C1. We can use the given condition f'(0) = 0 to solve for C1.

Plugging in

x = 0, we get

0 = cos(0) + C1,

so C1 = -1.

Next, we integrate f'(x) to get

f(x) = sin(x) - x + C2.

We can use the given condition

f(0) = 3 to solve for C2.

Plugging in

x = 0, we get

3 = sin(0) - 0 + C2,

so C2 = 3.

Therefore,

f(x) = sin(x) - x + 3.

To find f(1/2),

we plug in x = 1/2 and get

f(1/2) = sin(1/2) - 1/2 + 3.

We can use a calculator to approximate sin(1/2) to be about 0.48, so f(1/2) is approximately 2.98.

To learn more about Integrating :

https://brainly.com/question/22008756

#SPJ11

Answer:

12%

Step-by-step explanation:

140/125= 1.12

Now ignore the one that lies before the decimal because technically percentage is based on hundreds so both 125 and 140 are over 12%

Answer:

- 7\(x^{6}\)\(y^{9}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

- 7x³\(y^{5}\) (x³\(y^{4}\))

= - 7 × x³ ×x³ ×\(y^{5}\) × \(y^{4}\)

= - 7 × \(x^{(3+3)}\) × \(y^{(5+4)}\)

= - 7\(x^{6}\)\(y^{9}\)

30^∘ Another boy is standing on the roof of a 10 second string be x mIn Δ ABC sin 30^∘ = AC/AB 1/2 = AC/100 AC =

Answer: hope this helps ♡

The kite was 16.9 feet high.

Step-by-step explanation:

Pythagorean theorem

b = \(\sqrt{c^{2} - a^{2} }\)

b = \(\sqrt{22^{2} - 14^{2} }\)

b = \(\sqrt{484 - 196}\)

b = \(\sqrt{288}\)

b = 16.9

irrational

irrational  because it keeps on going on forever!

The number 0.212112111211112111112... is irrational because it cannot be expressed as a fraction of two integers.

Its pattern of repeating digits is not periodic, which means it doesn't repeat in a consistent manner, making it impossible to write as a simple fraction. Irrational numbers like this go on infinitely without repeating in any regular sequence.

An irrational number is a real number that cannot be expressed as a fraction of two integers (whole numbers). To determine whether 0.212112111211112111112... is rational or irrational, we need to analyze its decimal representation.

The given number has a repeating pattern, but the pattern is not strictly periodic. It starts with 0.2 and then follows the pattern 12112111211112..., where the digits increase in a non-repeating manner. Because this pattern continues indefinitely without a predictable repetition, we can conclude that the number is irrational.

To further elaborate, a rational number can be expressed as p/q, where p and q are integers and q is not equal to zero. However, when we attempt to represent 0.212112111211112111112... as a fraction, we encounter the challenge that its non-repeating and non-terminating pattern doesn't conform to the structure of a rational number.

This non-repeating nature of the decimal expansion aligns with the definition of irrationality – numbers that lack a repeating or terminating decimal representation. Thus, 0.212112111211112111112... is indeed irrational, falling into the category of numbers like π and √2 that cannot be expressed as fractions and have infinitely non-repeating decimal expansions.

To know more about Irrational here

https://brainly.com/question/25952683

#SPJ3

Answer 2/3

Step-by-step explanation:

what 5x10 = 50

60x 10 =600

30x1 =30

1x1=1

2x2=4

Answer:

Step-by-step explanation: shyweydehdeecebccecjeejddijde shut the f

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

Answer:

3(2x + 3) = 5(x + 1)

Step-by-step explanation:

lets call the number X

Answer:

3*(2n+5) = n-5

Step-by-step explanation:

Step 1. Let n be the number.

Step 2. Let 2n+5 be the sum of twice a number and five

Step 3. Let 3(2n+5) be three times the sum of twice a number and five

Step 4 Let n-5 be five less than the number.

Step 5. Then using Steps 3 and 4, we have 3%282n%2B5%29=n-5 since three times the sum of twice a number and five is equal to five less than the number.

Step 6. Solving the equation in Step 5 yields the following steps

Answer:

118.3

Step-by-step explanation:

The formula for the area is a triangle is base*height/2

Area = 18.2*13/2 = 118.3

Answer:

118.3

1/2b×h

1/2(13)x18.2

6.5×18.2

118.3m^2

a) An estimate for the median score in each exam are:

Biology exam = 68

Physics exam = 82.

b) An estimate for the interquartile range of the scores in the physics exam is 24.

c) The exam I think was easier is biology exam because there is a positive correlation between biology scores and the cumulative frequency.

In Mathematics and Statistics, the second quartile (Q₂) is sometimes referred to as the median, or 50th percentile (50%). This ultimately implies that, the median number is the middle of any data set.

Median, Q₂ = Total frequency/2

Median, Q₂ = 100/2 = 50

By tracing the line from a cumulative frequency of 50, the median exam scores are given by:

Biology exam = 68

Physics exam = 82.

Part b.

Interquartile range (IQR) of a data set = Third quartile(Q₃) - First quartile (Q₁)

Interquartile range (IQR) of physics exam = 94 - 70

Interquartile range (IQR) of physics exam = 24.

Part c.

By critically observing the graph, we can logically deduce that biology exam was easier because there is a positive correlation between biology scores and the cumulative frequency, which means students scored higher in biology.

Read more on median here: https://brainly.com/question/15196540

#SPJ1

Answer:

C. (1, 0)

Step-by-step explanation:

The solution to the this system would be where the 2 graphs intercept. We see from the graph that our intersection points are (-3, 4) and (1, 0).

∴ Our answer choice is C

The value of n is found as the 6 for the given exponent equation.

For the stated equation.

36 Superscript 12 minus n Baseline = 6 Superscript 2 n

This can be written as;

36¹²⁻ⁿ = 6²ⁿ

Using the adding exponent rule.

36¹².36⁻ⁿ = 6²ⁿ

Simplifying.

(6)²ˣ¹².(6)⁻ⁿˣ² = 6²ⁿ

(6)²⁴.(6)⁻²ⁿ = 6²ⁿ

Thus,

As, the base of number is equal , equating the powers.

24 - 2n = 2n

4n = 24

n = 6

Thus, the value of n is found as the 6 for the given exponent equation.

To know more about the rules of the indices, here

https://brainly.com/question/170984

#SPJ1

The correct question is-

If 36 Superscript 12 minus n Baseline = 6 Superscript 2 n, what is the value of n?

Answer:B

Step-by-step explanation:

edge 2023

Answer:

2√21

Step-by-step explanation:

let the sides of bigger triangle be a, b and d.

then,

a²= b² + d² [ by Pythagoras theorem]

13² = 9² + d²

d² = 13² - 9²

d²= 169 - 81

d² = 88

d = √88

Now, the sides of smaller triangle are c, x, and d

by Pythagoras theorem,

d² = c²+x²

(√88)² = 2² + x²

88 - 4 = x²

x² = 84

x = √84

x= 2x2x3x7

x = 2√21

Therefore, the value of x is 2√21

Hope it's helpful..

Step-by-step explanation:

Your previous questions answer is

v=23

w=19

x=22

y=26

z=20

if you satisfied in my answers please please mark as brainleiest and follow me

Answer:

Step-by-step explanation:

cant answer something that doesn't exist

The area bounded by the curves y = x - 2 and y = √x, between x = 0 and x = 4, is -59/6.

To obtain the area bounded by the curves y = x - 2 and y = √x, we need to determine the points of intersection between the two curves.

Setting the two equations equal to each other, we have:

x - 2 = √x

To solve this equation, we can square both sides:

(x - 2)^2 = (√x)^2

x^2 - 4x + 4 = x

Rearranging the terms and simplifying, we get:

x^2 - 5x + 4 = 0

Factoring the quadratic equation, we have:

(x - 1)(x - 4) = 0

This equation yields two solutions: x = 1 ad x = 4.

Now, we can determine the points of intersection by substituting these values back into the equations:

For x = 1:

y = 1 - 2 = -1 (from y = x - 2)

y = √1 = 1 (from y = √x)

For x = 4:

y = 4 - 2 = 2 (from y = x - 2)

y = √4 = 2 (from y = √x)

We have two points of intersection: (1, -1) and (4, 2).

To get the area bounded by the curves, we need to integrate the difference between the two curves with respect to x over the interval [1, 4].

The integral setup for getting the area A is as follows:

A = ∫[1, 4] [(x - 2) - √x] dx

Simplifying the integrand:

A = ∫[1, 4] (x - 2 - √x) dx

To evaluate this integral, we can split it into two parts:

A = ∫[1, 4] (x - 2) dx - ∫[1, 4] √x dx

Integrating each part:

A = [x^2/2 - 2x]∣[1, 4] - [2x^(3/2)/(3/2)]∣[1, 4]

Simplifying further:

A = [(4^2/2 - 2(4)) - (1^2/2 - 2(1))] - [2(4^(3/2))/(3/2) - 2(1^(3/2))/(3/2)]

A = [8 - 8 - (1/2 - 2)] - [(2(8))/(3/2) - (2)/(3/2)]

A = [8 - 8 - (1/2 - 4/2)] - [16/(3/2) - 2/(3/2)]

A = [-1/2] - [32/3 - 4/3]

A = -1/2 - 28/3

A = (-3 - 56)/6

A = -59/6

Therefore, the area bounded by the curves y = x - 2 and y = √x, between x = 0 and x = 4, is -59/6.

Learn more about integral here, https://brainly.com/question/29813024

#SPJ11

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

To know more about unnormalized relation click this link -

brainly.com/question/30888382

#SPJ11

Answer: The graph of inequality 3x-2y>12 is given by,

Given the inequality is 3x-2y>12

The equivalent equation of the given inequality is,

3x-2y = 12

x/4 + y/(-6) = 1

The line passes through (4,0) and (0,-6).

Since (0,0), 3*0-2*0 = 0 >12, is not true so the solution region is opposite to the origin.

A graph of the given inequality is given by,

Answer:

it ..mmmmm......mm..m..

Answer:

8

Step-by-step explanation:

4(5 - 3) + 5(5) - 5^2

20 - 12 - 25 + 25 = 8

Answer:

72years old

Step-by-step explanation:

Let Devin's age be x

Let Maggie present age be y

If the sum of the ages of Devin and Maggie is 96 years, then;

x+y = 96 .... 1

If by 8 years ago, Devin's age was 4 times Maggie's age, then;

Devin = x - 8

Maggie = y - 8

x-8 = 4(y-8)

x-8 = 4y - 32 ...2

From 1;

x = 96 - y..3

Substitute 3 into 2

96-y - 8 = 4y - 32

-y-4y = -32 - 88

-5y = -120y

y = 120/5

y = 24

Since x = 96-y

x = 96 - 24

x = 72years

Hence Devin will be 72years old now

Answer:

No

Step-by-step explanation:

They can't be in a straight line because 6+10 (the distance between plants 1 and 2 and plants 2 and 3) is more than 13 which is the distance from plant 1 to plant 3.  This means plant 3 can't be in line with 1 and 2 which will give a triangular shape.  If we check Pythagorean theorem we get 6^2 + 10^2 = 13^2 ( the longest side has to be the hypotenuse) .  Since this isn't a true statement it can't be a right triangle.  

Answer:

For most system of inequalities there is not only one answer, but you can keep in mind solving a system of inequalities is almost exactly like solving a system of equations. You can set the two equal to each other and solve for x. Keep in mind when multiplying or dividing by a negative number you must also flip the inequality sign.

The coordinates of point P are (39/7,-2/7), and point Q is the same as point P.

Given equations are,

\(2x - 3y = 12---(1)\)

\(x + 2y = 5---(2)\)

Let's use the method of substitution:

\(x = 5 - 2y---(3)\)

Substitute the value of x in Equation 1.

\(2(5 - 2y) - 3y = 12\)

Solve the equation for y.

\(10 - 4y - 3y = 12\)

\(- 7y = 2\)

\(y = - 2/7\)

Substitute the value of y in equation 2.

\(x+ 2(- 2/7) = 5\)

\(x - 4/7 = 5\)

\(x = 5 + 4/7\)

\(x = 39/7\)

Therefore, intersection point P and point Q coordinates are (39/7, - 2/7).

Read more about Substitution here;

https://brainly.com/question/22340165

a. The probability P(X < 10) is U(0, 50) is 0.20.

b. The probability P(X > 595) is U(0, 1,000) is 0.405.

c. The probability P(21 < X < 49) is U(19, 68) is 0.4762.

a. For a uniform continuous distribution U(0, 50), the probability of an event X < 10 can be calculated by dividing the length of the interval [0, 10] by the length of the entire interval [0, 50]. Since the lengths of both intervals are equal, the probability is 10/50 = 0.20.

b. Similarly, for a uniform continuous distribution U(0, 1,000), the probability of an event X > 595 can be calculated by dividing the length of the interval [595, 1,000] by the length of the entire interval [0, 1,000]. The length of the interval [595, 1,000] is 1,000 - 595 = 405, and the length of the entire interval is 1,000 - 0 = 1,000. Thus, the probability is 405/1,000 = 0.405.

c. For a uniform continuous distribution U(19, 68), the probability of an event 21 < X < 49 can be calculated by dividing the length of the interval [21, 49] by the length of the entire interval [19, 68]. The length of the interval [21, 49] is 49 - 21 = 28, and the length of the entire interval is 68 - 19 = 49. Therefore, the probability is 28/49 = 0.5714.

Learn more about uniform continuous probability: brainly.com/question/24131353

#SPJ11

There are 7 people in Mr. Wilson's class, as Zach is the second person and Mary is the seventh person.

To calculate the total number of people in the class, we can use the formula 2x = 7, where x is the total number of people. Solving for x, we get x = 7.

To determine the number of people in Mr. Wilson's class, we can use the formula for the number of people in a circle, which is N = 2(n-1), where n is the number of people standing opposite each other in the circle. In this case, n is 2 (Zach and Mary). Therefore, N = 2(2-1) = 2 people. However, since there are 7 people in total in the circle, we can conclude that the number of people in Mr. Wilson's class is 7. To explain further, based on the given information, we can say that Zach is the second person, which means there are 2 people before him in the circle. Therefore, there are 7 people in Mr. Wilson's class. To further explain, we can break down the equation as follows: The person opposite of Zach is the seventh person, or 7th, so we can say that 7 is equal to the number of people in the class multiplied by 2, or 2x. Then, solving for x, we get x = 7. This means that the total number of people in the class is 7.

Learn more about total number here;

https://brainly.com/question/14993202

#SPJ4