How long would it take to fill up 480cm3 pool at 25litres a min

Answer:

N is the midpoint of MO

Step-by-step explanation:

Given

See attachment for triangles

Required

Additional information to prove [tex]MLN \cong OPN[/tex]

From the attachment, we already have:

[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]

The additional information that must be true for [tex]MLN \cong OPN[/tex]  to be true is: N is the midpoint of MO

Because this piece of information proves that:

[tex]MN \simeq ON[/tex]

Which in other words makes [tex]MLN \cong OPN[/tex]

Answer:

15

Step-by-step explanation:

He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6

Answer:

220.5 in³

Step-by-step explanation:

Volume = L×W×H

Volume = 10.5 in × 7 in × 3 in

Volume = 220.5 in³

Answer:

220.5CM ^3

Step-by-step explanation:

vOLUME = L*W*H

= 10.5*7*3

=220.5

Answer:

2/3

Step-by-step explanation:

Gradient of line

= (y1-y2) /(x1-x2)

= (3-(-1))/(4-(-2))

= (3+1)/(4+2)

= 4/6

= 2/3

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

B) (gºf)(x) = (x + 1)^2

x = 44°

Step-by-step explanation:

Since AB is a diameter,

arcAC + arcCB = 180

92° + arcCB = 180

or

arcCB = 88°

ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,

x = (1/2)arcCB

= 44°

Answer:

D (north, .51)

Step-by-step explanation:

since the numbers are higher for north, it is the right answer.

.6*.85=.51

D. North market. There is a 0.51 probability of both cherries and asparagus being available.

If the incidence of one event does not affect the probability of the other event then the events are independent of each other and called independent events.

Now, if A and B be two events which are independent,

then P(A∩B) = P(A)×P(B)

In the table in given problem, the probability of cherries and asparagus are higher for north market.

For the north market,

The probability of produce cherries = P(A) = 0.6

The probability of produce asparagus = P(B) = 0.85

where A and B are the events of produce cherries and asparagus respectively.

Here, A and B are independent events.

Then probability for maximize her choice is P(A∩B) = P(A)×P(B)

                                                                                     = 0.6×0.85

                                                                                     = 0.51

∴ Elena choose north market to maximize her chance of buying both and the probability is 0.51

Learn more about independent events here :

https://brainly.com/question/11890324

#SPJ2

Answer:

3.00

Step-by-step explanation:

Given that :

Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10

Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05

Expected value :E(X) = ΣX* p(x)

E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)

E(X) = 3

Expected value = 3.00

Answer:

4=x

Step-by-step explanation:

1/5( 2x+92) = 5x

Multiply each side by 5

5*1/5( 2x+92) = 5x*5

( 2x+92) = 25x

Subtract 2x from each side

2x+92-2x = 25x-2x

92 = 23x

Divide by 23

92/23 = 23x/23

4=x

Answer:

x = 4

Step-by-step explanation:

1/5 ( 2x + 92 ) = 5x

[tex] \small \sf \frac{1}{5} × ( 2x + 92 ) = 5x \\ [/tex]

distribute 1/5 through the parantheses

[tex] \small \sf \frac{2}{5}x + \frac{92}{5} = 5x \\ [/tex]

multiply both side of equation by 5

[tex] \small \sf \frac{2}{5}x \times 5 + \frac{92}{5} \times 5 = 5x \times 5\\ [/tex]

Move all variables to the left hand side and change their sign

combine like terms

calculate

Move all the constant to the right side and change their sign

divide both side by -23x

Answer:

The margin of error is of 20, option B.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the subtraction between the bounds, divided by 2.

In this question:

Lower bound: 200

Upper bound: 240

Margin of error:

(240 - 200)/2 = 40/2 = 20

The margin of error is of 20, option B.

Answer:

d=5

Step-by-step explanation:

Answer:

d=5

Step-by-step explanation:combine like terms and subtract numbers from left side.

Answer:

I agree with Elena. See explanation below.

Step-by-step explanation:

A right angle is equal to 90 degrees.

A straight line is equal to 180 degrees.

Elena: w + 148 = 180

Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:

w + 148 = 180

w + 148 - 148 = 180 - 148

w = 32 degrees

Diego: x + 90 = 148

Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.

To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:

w + x = 90

32 + x = 90

32 - 32 + x = 90 - 32

x = 58 degrees

Answer:

x

Step-by-step explanation:

f([tex]f^{-1}[/tex](x))

Lets work the brackets first!

[tex]f^{-1}[/tex](x)

To solve we are going to find the inverse of the function.

[tex]f^{-1}[/tex](x)

f ⇔ y

∴ y = x

Interchange x and y

x = y

Solve for y

y = x

∴ [tex]f^{-1}[/tex](x) = x

Now let's solve the rest of the equation.

f(x) = x

∴ f([tex]f^{-1}[/tex](x)) = x

9514 1404 393

Answer:

  A.  15x +14y = -36

Step-by-step explanation:

Since we are given two points, we can start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (6 -(-9))/(-8 -6)(x -6) +(-9)

  y = 15/-14(x -6) -9

Multiplying by -14, we have ...

  -14y = 15x -90 +126

Adding 14y-36 to both sides gives ...

  -36 = 15x +14y . . . . matches choice A

The standard-form equation is ...

  15x +14y = -36

_____

Additional comments

It can be easier to start with the form ...

  (Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1

This gives ...

  (6+9)x -(-8-6)y = 15(6) +14(-9)

  15x +14y = -36 . . . simplified

__

You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.

Answer:

hope it is helpful to you

Answer:

at first put the value of X

after that do the equation.

Step-by-step explanation:

hope it will help you

Answer:

a = 2

Step-by-step explanation:

substitute x with the number 5.

5+8a=25+5a-7a

subtract 5a from both sides

5+3a=25-7a

add 7a to both sides

5+10a = 25

subtract 5 from both sides

10a=20

divide both sides by 10

a = 2

Answer:

180-35=145

x=145

*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.

x = 180 - 35

x = 145.

Answer:

[tex]f(x)=(x-1)^2-2[/tex]

Step-by-step explanation:

Equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]

Plug in both the given point and vertex to find the value of [tex]a[/tex]:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=a(x-1)^2-2[/tex]

[tex]14=a(5-1)^2-2[/tex]

[tex]14=a(4)^2-2[/tex]

[tex]14=16a-2[/tex]

[tex]16=16a[/tex]

[tex]1=a[/tex]

[tex]a=1[/tex]

Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]

See attached graph below for a visual of the function.

Answer:

I put 6/9 even though i know its wrong

Step-by-step explanation:

Answer:

Es el 60%

Step-by-step explanation:

I hope this is help full to you

Answer:

[tex]\displaystyle m = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (0, -2)

Point (5, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

84 sq meters

Step-by-step explanation:

1. Approach

In order to solve this problem, one will have to divide the figure up into simple shapes. A picture is attached showing how the shape is divided up for this answer. Find the area of each region, then add up the results to find the total area.

2. Area of Region 1

As one can see, the length of (Region 1), as given is (6), the width is (3). To find the area multiply the length by the width.

Length * width

6 * 3

= 18

3. Area of Region 2

In (Region 2), the length is given, (12). However, one must find the width, this would be the size of the total side, minus the width of (Region 1). Multiply the length by the side to find the area.

Length * width

= 12 * (8 - 3)

= 12 * 5

= 60

4. Area of Region 3

In (Region 3), the length of the figure is (2), the width is (3). To find the area, multiply the length by the width.

Length * width

= 2 * 3

= 6

5. Total area

Now add up the area of each region to find the total rea,

(Region 1) + (Region 2) + ( Region 3)

= 18 + 60 + 6

= 84

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs into cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

Answer:

No solution is possible

Step-by-step explanation:

You failed to include the graph.

Answer:

x = -4, y = 6.

x = 0, y = 7.

x = 4, y = 8.

x = 8, y = 9.

Step-by-step explanation:

We are given the following rule:

[tex]y = \frac{x}{4} + 7[/tex]

To solve this question, we replace x by the asked values.

When x = -4

[tex]y = \frac{-4}{4} + 7 = -1 + 7 = 6[/tex]

So x = -4, y = 6.

When x = 0

[tex]y = \frac{0}{4} + 7 = 0 + 7 = 7[/tex]

So x = 0, y = 7.

When x = 4

[tex]y = \frac{4}{4} + 7 = 1 + 7 = 8[/tex]

So x = 4, y = 8.

When x = 8

[tex]y = \frac{8}{4} + 7 = 2 + 7 = 9[/tex]

So x = 8, y = 9.

Answer:

D) 1 3/4

Step-by-step explanation:

Answer:

each number you pick has a 1 in 25 chance

this equates to a 4% chance of winning for each individual ball