There Are 130 People In A Sport Centre, 73 People Use The Gym, 62 People Use The Swimming Pool, 58 People (2024)

Answer:

B ( 5 , 3/4 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

A ( -5 , 2 ) C ( 11, 0 )

The point B lies on the line segment from A to C. The ratio of segment given is:

AB / BC = 5 / 3

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AC. We will first determine the direction vector ( d ) that is parallel to the line AC as follows:

d = OC - OA

d = < 11, 0 > - < -5,2 >

d = < 16 , -2 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point C is expressed as:

< x , y > = OA + t*d

< x , y > = < -5, 2 > + t* < 16 , - 2 >

The above equation satisfies all the points that lies on the line AC. To determine the coordinates of ( B ). We will plug in the appropriate value of parameter ( t ) and evaluate. We are given the ratio 5:3.

So point B is 5/8 th the magnitude of the distance AC from A. Hence, t = 5/8 as follows:

< x , y > = < -5 , 2 > + ( 5/8 ) * < 16 , -2 >

< x , y > = < -5 , 2 > + < 10 , -5/4 >

< x , y > = < 5 , 3/4 > ... Answer

Answer:

x, y = 5, 3/4

Step-by-step explanation:

Answer: yz square root 3xz

Explanation:
1/5 square root 75xy^2z^3
= 1/5 sqrt 3 • 25xy^2z^2•z
= 1/5 x 5 x y x z sqrt 3xz
1 x y x z sqrt 3xz
= yz sqrt 3xz

Answer:

J=0.15

S=0.05

Step-by-step explanation:

4J+2S=0.70

4J+5S=0.85

Using elimination method

4J+2S=0.70 (1)

4J+5S=0.85 (2)

Subtract (1) from (2)

3S=0.15

Divide both sides by 3

3S/3=0.15/3

S=0.05

Substitute s=0.05 into (1)

4J+2S=0.70

4J+2(0.05)=0.70

4J+0.10=0.70

4J=0.70-0.10

4J=0.60

Divide both sides by 4

4J/4=0.60/4

J=0.15

CHECK:

4J+2S=0.70

4(0.15)+2(0.05)=0.70

0.60+0.10=0.70

0.70=0.70

4J+5S=0.85

4(0.15)+5(0.05)=0.85

0.60+0.25=0.85

0.85=0.85

A(14)=240(1+0.09)^14-1

A(14)=240(1.09)^13

A(14)=240(3.065)

A(14)=735.79

Make sure the calculations m

Answer:

Both ordiante and absissa are positive

So, the point lies in first quadrant....

Answer: Quadrant I

Step-by-step explanation:

Quadrant II ↓ ← ← ← ← ← ← Quadrant I

( - , + ) ↓ ( +, + )

↓

↓

Quadrant III → → → → → → → Quadrant IV

( - , - ) ( +, - )

Start at Quadrant I in the upper right corner of a graph and move counterclockwise for Quadrants II, II, and IV.

(3, 5) --> both x and y are positive so it is in Quadrant I.

Answer:

x = -1

Step-by-step explanation:

-2(3x - 5) = 16

3x - 5 = -8

3x = -8 + 5

3x = -3

x = -1

Hope this helps! :)

Answer:

x = -1

Step-by-step explanation:

-2 (3x-5) = 16

-6x + 10 = 16

-6x = 16-10

-6x = 6

x = 6 ÷ -6

x = -1

Answer:

36%

Step-by-step explanation:

Total Number of Students = 25

The number of students on the last row = 9

The probability of calling a student in the last row

[tex]=\dfrac{\text{The number of students on the last row}}{\text{Total Number of Students}}\\\\=\dfrac{9}{25}\\\\=0.36\\\\=0.36 \times 100\\\\=36\%[/tex]

The probability of calling a student in the last row is 36%.

Answer:

B 0.36

Step-by-step explanation:

Answer:two

Step-by-step explanation:

Karen's sunflower will grow from 338 inches to 24 inches in 5 days.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To solve this problem, we need to determine how many days it will take for Karen's sunflower to grow from 338 inches to 24 inches. We can do this by dividing the difference in height between the two measurements by the number of inches the sunflower grows per day.

First, we need to find the difference in height between the two measurements: 338 inches - 24 inches = 314 inches

Next, we divide this difference by the number of inches the sunflower grows per day: 314 inches / 58 inches/day = 5.410344827586207 days

Rounded to the nearest whole number.

Therefore, it will take Karen's sunflower 5 days to grow from 338 inches to 24 inches.

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Answer:

B

Step-by-step explanation:

I can't really see the problem, however I believe B is the only one that shows an infinite number of solutions.

Answer:

B

Step-by-step explanation:

It is too blurry BTW but B is correct

Answer:

t = 8; u = 14.

Step-by-step explanation:

If the two triangles are to be congruent, their side lengths and angles must be equal.

In this case, segment RQ corresponds with segment HI, and segment QS corresponds to segment IJ.

Since they are equal, we know that...

3u = u + 28

and

16t - 32 = 12t

Solve for both!

3u = u + 28

2u = 28

u = 14

16t - 32 = 12t

4t = 32

t = 8

So, t = 8 and u = 14.

Hope this helps!

Answer他媽的你你一個愚蠢的屁股妓女，你需要做你贏了他媽的作業傻瓜屁股

Step-by-step explanation:

Answer: 2.6 for the first one

Step-by-step explanation:

First absolute deviation: 1 6 5 8 3 7 1 4 10 9

Solve using the formula and get 2.6

For the second one I do not understand the digits. Therefore I cannot solve it.

I am very sorry, please forgive me

The mean absolute deviation of the data is M = 2.6

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the total number of points be n

Now , the value of n = 10

And , the number of points on each data is given by set A

Now , the value of set A = { 1 , 6 , 5 , 8 , 3 , 7 , 1 , 4 , 10 , 9 }

So , the total sum of data = 1 + 6 + 5 + 8 + 3 + 7 + 1 + 4 + 10 + 9

The total sum of data = 54

Now , the mean number of data points = 54 / 10 = 5.4

And , the mean deviation is M

M = 1/10 | [ ( 1 - 5.4 ) + ( 6 - 5.4 ) + ( 5 - 5.4 ) + ( 8 - 5.4 ) + | ( 3 - 5.4 ) | + ( 7 - 5.4 ) + ( 1 - 5.4 ) + ( 4 - 5.4 ) + ( 10 - 5.4 ) + ( 9 - 5.4 ) |

M = ( 1/10 ) [ 4.4 + 0.6 + 0.4 + 2.6 + 2.4 + 1.6 + 4.4 + 1.4 + 4.6 + 3.6 ]

M = ( 1/10 ) [ 26 ]

M = 2.6

Therefore , the value of M is 2.6

Hence , the mean deviation is 2.6

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supplementary angles mean they equal 180 degrees which means any two angles that equal a line. so that would be:
<1 and <3
<1 and <4
<2 and <3
and <2 and <4

as all of these angles (in their respective pairs) create a single line which is equivalent to 180 degrees

The supplementary angles are:

<1 and <3

<1 and <4

<2 and <3

<2 and <4

what are supplementary angles?

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees.

Given:

As, the supplement angles forms 180 angles.

So, from the angles that are supplementary are

<1 and <3

<1 and <4

<2 and <3

<2 and <4

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Answer:

yes

Step-by-step explanation

Answer:

Yes, they would be equivalent.

If you simplify

2/22 ÷2= 1/11

Therefore, this shows that they are equivalent.

Hope this helps! :)

Answer:

the answer is approximately 6.047

Answer:

Step-by-step explanation:

n = 7

Mean = (9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6)/7 = 7.6

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (9.0 - 7.6)^2 + (7.3 - 7.6)^2 + (6.0 - 7.6)^2 + (8.8 - 7.6)^2 + (6.8 - 7.6)^2 + (8.4 - 7.6)^2 + (6.6 - 7.6)^2 = 8.33

Standard deviation = √(8.33/7

s = 1.1

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 6.6

For the alternative hypothesis,

H1: µ ≠ 6.6

This is a two tailed test.

Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 7.6

µ = population mean = 6.6

s = samples standard deviation = 1.1

t = (7.6 - 6.6)/(1.1/√7) = 2.41

We would determine the p value using the t test calculator. It becomes

p = 0.053

Since alpha, 0.05 < than the p value, 0.053, then we would fail to reject the null hypothesis.

Answer:

x² + 2x + 2 = 0

Step-by-step explanation:

Formula for finding a quadratic equation when its roots are given is

x² - ( sum of roots)x + product of roots=0

The roots are

- 1 + i

- 1 - i

Sum of roots is = - 1 + i - 1 - i = -2

Product of roots is = ( -1 + i)(- 1 - i)

= 1 + 1 = 2

So the quadratic equation is

x² - (-2)x + 2 = 0

x² + 2x + 2 = 0

Hope this helps you

Answer:

x^2+2x+2

Step-by-step explanation:

to find b in the equation :

b^2<4ac when having two complex roots

the required equation is x2 - Sx + P = 0

the sum of the roots :-1-i+-1-i=-2

the product=2

so the equation: x^2-(-2)x+2

x^2+2x+2

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000

Let's check :

take the second year : V= -2000*2 +20000 = 16000 that's true !

Answer:

A= 695.3cm²

Step-by-step explanation:

We khow that the area of anctagon is : A= 2(1+[tex]\sqrt{2}[/tex])*a² with a the side so A= 2(1+√2)*a² = 695.29= 695.3 cm²

Hey there! :)

Answer:

16 minutes.

Step-by-step explanation:

Create an equation in the form y = mx + b to solve this problem. Begin by solving for the rate of change of the table using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in values from the table into the equation:

[tex]m = \frac{64 - 40}{9 - 5}[/tex]

Simplify:

[tex]m = \frac{24}{4}[/tex]

m = 6.

Plug in the slope and a point from the table into the equation

y = mx + b

40 = 6(5) + b

40 = 30 + b

40 - 30 = b

b = 10.

Rewrite the equation:

y = 6x + 10

To solve for how long it took her to ride 1 km, plug 1 into the equation:

y = 6(1) + 10

y = 6 + 10

y = 16 minutes.

Answer:

x + 13 = 24.

Step-by-step explanation:

Dina is currently x years old. Plus 13 years, she will be 24. So, we have x + 13 = 24.

x = 11.

Hope this helps!

Answer:

x + 13 = 24

Step-by-step explanation:

Since Dina is x age, we can add in x in the formula. In 13 years, she will be 24, so the total is 24 years old.

So if Dina is x and in 13 years she will be 24, the equation would be x + 13 = 24.

Answer: x = 4

Explanation: root x-1 = 2- root x+3
First let’s take out the root by square both side by 2 we get:
x-1= 4-x+3
x-1 = -x+7
x+x = 7+1
2x= 8
x= 8/2=4

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]\sqrt{x-1} =2-\sqrt{x+3}[/tex]

Square both sides.

[tex]\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2[/tex]

[tex]x-1=x+7-4\sqrt{x+3}[/tex]

Subtract x on both sides.

[tex]x-1-x=x+7-4\sqrt{x+3}-x[/tex]

[tex]-1=-4\sqrt{x+3}+7[/tex]

Subtract 7 on both sides.

[tex]-1-7=-4\sqrt{x+3}+7-7[/tex]

[tex]-8=-4\sqrt{x+3}[/tex]

Square both sides.

[tex]\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2[/tex]

[tex]64=16x+48[/tex]

Subtract 48 on both sides.

[tex]64-48=16x+48-48[/tex]

[tex]16=16x[/tex]

Divide both sides by 16.

[tex]\frac{16}{16} =\frac{16x}{16}[/tex]

[tex]1=x[/tex]

Switch sides.

[tex]x=1[/tex]

Answer:

a) x+3=19

Step-by-step explanation:

a)

x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.

b)

x+3=19

x=19-3

x=16

thus , x is 16 , in other words , Ronald's age is 16.

Answer:

m-x(n)+x-m(k)

Step-by-step explanation:

mn-mk+xk-xn

mn-xn+xk-mk

m-x(n)+x-m(k)

Hope it helps <3 :)

Answer:

m-x(n)+x-m(k)

Step-by-step explanation:

hope this helps :D

Answer:

I just answered this question lol but the answer is 2^0*3^0*7^47=329. Hope this helps!!

Step-by-step explanation:

Answer:

correct option is A: [tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

Step-by-step explanation:

If the segment DE was parallel to the segment BC, we could use the Thales' theorem, where the ratio of one segment created in one side of the triangle over the whole side is the same ratio of one segment created in the other side over the whole side:

[tex]\frac{AD}{AB} = \frac{AE}{AC}[/tex]

Using the values given (AD = 4, AB = 6+4=10, AE = 6, AC = 8+6=14), we would have:

[tex]\frac{4}{10} = \frac{6}{14}[/tex]

[tex]4*14=6*10[/tex]

[tex]56=60[/tex]

This sentence is false, therefore the segments DE and BC are not parallel.

The inequation to prove this is the first one we used, using the "not equal" symbol:

[tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

So the correct option is: A

Answer:

[tex]x^{\frac{1}{8}}y^8[/tex].

Step-by-step explanation:

The given expression is

[tex](x^{\frac{1}{4}}y^{16})^{\frac{1}{2}}[/tex]

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

[tex](x^{\frac{1}{4}})^{\frac{1}{2}}(y^{16})^{\frac{1}{2}}[/tex] [tex][\because (ab)^m=a^mb^m][/tex]

[tex](x^{\frac{1}{4}\times \frac{1}{2}})(y^{16\times \frac{1}{2}})[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]x^{\frac{1}{8}}y^8[/tex]

Therefore, the required expression is [tex]x^{\frac{1}{8}}y^8[/tex].

The simplified form of the indices is [tex]x^{1/4}y^8[/tex]

Given the expression:

[tex](x^{1/4}y^{16})^{1/2}[/tex]

Using the law of indices below:

[tex](a^m)^n = a^{mn}[/tex]

Multiplying the power will give:

[tex]= (x^{1/4})^{1/2} \cdot (y^{16})^{1/2}\\=x^{1/4}y^8[/tex]

Hence the simplified form of the indices is [tex]x^{1/4}y^8[/tex]

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Answer:

0.0236 m per minute,

Step-by-step explanation:

Volume of the cone V = 1/3 π r^2 h.

Diameter = 2r = 2h so r = h

and V = 1/3 π h^3

So the rate of change of volume with height =

dV / dh = π h^2.

We are given that dV/dt = 6.

So the rate of change of height: dh/dt = dV/dt * dh/dV

= 6 * 1/ π h^2

When h = 9

dh/dt = 6 / 81π m per minute

= 0.0236 m per minute,

Answer:

x = -1/4(y +3)2 - 2.

Step-by-step explanation:

Here are the steps:

Find if parabola is horizontal or vertical

Find vertex and substitute into equation of step 1

Use another point to find a in the equation.

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

Parabola is obviously vertical.

that means we use x = a(y - k)2 + h

Our vertex is (-2,-3), and it's also (h, k)

so, our current equation is x = a(y - -3)2 - 2 and if we simplify it,

we get x = a(y +3)2 - 2.

It's not over yet, cuz we still need a.

so, we substitute in a point (x, y). We can use (-4, 1).

We plug in and get -4 = a(1 +3)2 - 2.

We solve like a one variable linear equation and get a = -1/4

Thus our equation is x = -1/4(y +3)2 - 2.

Answer:

The answer is option C.

The answer is option

Step-by-step explanation:

5x + 2y = - 15 ......... 1

x - 4y = - 3 ........ 2

Make x the subject in the second equation and substitute it into the first equation

That's

x = 4y - 3

5(4y - 3) + 2y = - 15

20y - 15 + 2y = - 15

22y = - 15 + 15

22y = 0

Divide both sides by 22

y = 0

Substitute y = 0 into x = 4y - 3

That's

x = 4(0) - 3

x = - 3

x = - 3 y = 0

( - 3 , 0)

Hope this helps you

Answer:

3 1/2 =x

Step-by-step explanation:

(1/2) / 4 = x/28

Using cross products

1/2 * 28 = 4*x

14 = 4x

Divide each side by 4

14/4 = 4x/4

7/2 = x

3 1/2 =x

Answer:

[tex]\boxed{Option1}[/tex]

Step-by-step explanation:

[tex]\frac{1/2}{4} = \frac{x}{28}[/tex]

Cross Multiplying

=> 1/2 * 28 = 4x

=> 14 = 4x

=> 4x = 14

Dividing both sides by 4

=> x = 14/4

=> x = 7/2

=> x = [tex]3\frac{1}{2}[/tex]