Water flows through a cylindrical pipe of radius 0.74 cm.
It fills a 12 l bucket in 4 minutes. When the 12 l bucket is emptied in to a circular pool, the water level rises by 5 mm. Calculate the radius of the pool.

63273600 license plates can be created using either three uppercase English letters preceded by three digits or four uppercase English letters tried to follow by two digits.

So,

Three uppercase English letters, then three digits:

Total number of possible ways = 26 x 26 x 26 x 10 x 10 x 10 = 17576000

Four uppercase English letters, then two digits:

Total number of possible ways = 26 x 26 x 26 x 26 x 10 x 10 = 45697600

Three uppercase English letters, three digits, or four uppercase English letters, two digits.

Therefore, 63273600 license plates can be created using either three uppercase English letters preceded by three digits or four uppercase English letters tried to follow by two digits.

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Answer:

Step-by-step explanation:

6x + 3 = 2x - 9

6x - 2 x = -9 - 3

4x = -12

x = -12 : 4

x = -3

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

CHECK

6 * (-3) = 2* (-3) - 9

-18 = -15

the equation is false

Answer:

length is 20 width is 5

Step-by-step explanation:

35

5 20

A local maximum occurs over the interval  (-2,0)  

A local minimum occurs over the interval  (0,2)

How do you find a function's maximum value?

We may calculate the maximum of a continuous and twice differentiable function f(x) by first differentiating it with respect to x and then equating it to 0.

A local maximum occurs over the interval (-2,0)  

A local minimum occurs over the interval  (0,2)

Step-by-step explanation:

-lukelaws hope i helped if i di please give me brainliest if i was wrong i am very sorry!

Answer:

Step-by-step explanation:

When completing the square, an expression like,

ax2 + bx + c is written in the form (Ax + B)2 + C.

We will begin with the simple example where a = 1. In this case we will write expressions in the form

x2 + bx + c as (x + B)2 + C

If we expand (x + B)2 + C we get x2 + 2Bx + B2 + C.

Comparing this with x2 + bx + c shows that

b = 2B and c = B2 + C

which gives B =

b

2

and C = c – B2

Answer:

Step-by-step explanation:

What are you trying to find? If you want to find x then:

5x = 134 - 9

5x = 125

x = 25

if you want square root then,

x = √625    or

x = 5^2

Answer:

Part A: School A Interquartile range = 9.5. School B Interquartile range = 7.5

Part B: There are no outliers present for either data set.

Step-by-step explanation:

For Part A, school A interquantile range is 9.5. Five number summary of school A is minimum = 6, quarantine q1= 6.5, median = 14, quarantine q3 = 16, and maximum = 17. Calculate Q3-Q1 = 16 - 6.5 which gives you 9.5

For School B, the interquartile range is 7.5. Five number of summary of school B is minimum = 5, quarantine q1 = 8, median = 12, quarantine q3= 15.5, maximum = 19. IQR Range = Q3-Q1 = 15.5 - 8. Which gives you 7.5

For Part B: All the outcomes of school A in between the values of -7.75 and 30.25. So this means there is no outliers in school A. For school B, all the outcomes of school B in between the values of -3.25 and 26.75. So there are no outlines in school B.

Using the fact that the two angles are complementary, the we will find that the measures are:

∠1 = = 14°

∠2  = 76°

By looking at the diagram, we can see that the sum of the measures of angles 1 and 2 must be equal to 90° (this means that the two angles are complementary).

We also can see that:

∠1 = x - 5

∠2 = 4x

Then we can solve the linear relation:

(x - 5) + 4x = 90

x - 5 + 4x = 90

5x - 5 = 90

5x = 90 + 5 = 95

x = 95/5 = 19

Then the measures of the two angles are:

∠1 = (x - 5)° = (19 - 5)° = 14°

∠2 = 4x = 4*19° = 76°

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Number of  train rides to make the frequent-rider pass a better deal than standard train tickets is 26 or more rides.

As given,

Cost of standard train ticket = 3 per ride

Price of frequent rider pass= 18.75 each month

Cost of ticket using rider pass = 2.25 per ride

let x be the number of rides

Equation:

18.75 + 2.25x < 3x

⇒ 0.75x > 18.75

⇒ x > 25

Therefore, number of  train rides to frequent-rider pass a better deal than standard train tickets is 26 or more rides.

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Step-by-step explanation:

y³ + 5y

2³ + 5 × 2

8 + 10

18...

Hi!

[tex]\diamondsuit[/tex] Plug in 2 for y:

[tex]\boldsymbol{2^3+5(2)}[/tex]

[tex]\diamondsuit[/tex] Cube 2 first:

[tex]\boldsymbol{8+5(2)}[/tex]

[tex]\diamondsuit[/tex]  Multiply 5 times 2 next:

[tex]\boldsymbol{8+10}[/tex]

[tex]\diamondsuit[/tex] Add.

[tex]\boldsymbol{18}[/tex]

Therefore,

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{Answer:~~18}}}}[/tex]

I hope I helped, have an amazing rest of your day!

If you need any explanation or clarification - comment! :)

It will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.

To find how long will it take joe to climb from street level to the roof of the sears tower:

Therefore, it will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.

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Answer:

-7/6

Step-by-step explanation:

negative 5 over 6−

5

6

≈negative 0.833−0.833

Answer:

1.  2550

2.  1600

Step-by-step explanation:

Even Integer: A whole number that can be positive, negative, or zero, and that can be divided exactly by 2.

Even integers between 1 and 101:  

This forms an arithmetic sequence with:

Sum of the first n terms of an arithmetic series:

[tex]\boxed{S_n=\dfrac12n[2a+(n-1)d]}[/tex]

There are 50 even integers between 1 and 101.  

Therefore, to find the sum of the even integers between 1 and 101, substitute n = 50 and the found values of a and r into the formula:

[tex]\begin{aligned}\implies S_{50} & =\dfrac{1}{2}(50)[2(2)+(50-1)2]\\\\& =25[4+(49)2]\\\\& =25[4+98]\\\\& =25[102]\\\\& = 2550\end{aligned}[/tex]

Therefore, the sum of the even integers between 1 and 100 is 2550.

Given arithmetic sequence:

From inspection of the given arithmetic sequence:

Sum of the first n terms of an arithmetic series:

[tex]\boxed{S_n=\dfrac12n[2a+(n-1)d]}[/tex]

To find the sum of the first 25 terms of the given arithmetic sequence, substitute n = 25 and the found values of a and r into the formula:

[tex]\begin{aligned}\implies S_{25} & =\dfrac{1}{2}(25)[2(4)+(25-1)5]\\\\& =\dfrac{25}{2}[8+(24)5]\\\\& =\dfrac{25}{2}[8+120]\\\\& =\dfrac{25}{2}[128]\\\\& = \dfrac{3200}{2}\\\\& = 1600\end{aligned}[/tex]

Therefore, the sum of the first 25 terms of the given arithmetic sequence is 1600.

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Answer:D

Step-by-step explanation:

Answer:

I think it's the last one, the one that have month 4,6,8.

Step-by-step explanation:

Answer: [tex]\frac{3-x}{2}[/tex]-4

Step-by-step explanation:

(3-x)/2 -4=[tex]\frac{3-x}{2}[/tex]-4

Answer:

60000 cm squared 600 dm squared or 60 cm squared

Step-by-step explanation:

If line PQ bisects line ST at point R and SR=3x+3 and ST=30 then the value of x = 4.

As given in the question,

Line PQ bisects ST at point R

SR=3x+3

ST=30

R is the midpoint of ST as PQ bisects ST this implies

Line SR=1/2 of line (ST)

⇒SR=ST/2

Substitute the value of SR and ST in the given condition

  3x+3=30/2

⇒3x+3=15

Subtract 3 from both the sides

⇒3x=12

Divide both the side by 3

⇒3x/3=12/3

⇒x=4

Therefore, for the  line PQ bisects line ST at point R and SR=3x+3 and

ST=30 then the value of x is equal to 4.

The complete question is:

If the line PQ bisects line ST at point R. SR=3x+3 and ST = 30. Find x.

a. x= 8      b. x =6           c. x =2          d. x= 4

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Answer:

-2

Step-by-step explanation:

[tex]Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2[/tex]

Answer is

VY = 17

UZ =21

WV = 14.7

TV = 29.4

TU = 38

SOLVING STEPS

WV = [tex]x^{2}[/tex]+[tex]15^{2}[/tex] =  [tex]21^{2}[/tex]

       ⇒[tex]x^{2}[/tex]  + 225 = 441

      ⇒ [tex]x^{2}[/tex] =  441-225

      ⇒ [tex]x^{2}[/tex] = 216

      ⇒ x = [tex]\sqrt{216}[/tex]

VY = 17

UZ =21

WV = 14.7

TV = 29.4

TU = 38

The circumcentre of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcentre.

Method to Calculate the Circumcentre of a Triangle

Steps to find the circumcentre of a triangle are:

Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC

how to calculate the slope of the particular line :

By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)

Find out the equation of the other line in a similar manner

Solve two bisector equations by finding out the intersection point

Calculated intersection point will be the circumcentre of the given triangle

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The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

According to the statement

We have to find that the correct statement about the rotational symmetry for an isosceles triangle.

So, For this purpose, we know that the

Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn.

From the given information:

Then from isosceles triangle,

An isosceles is a triangle that has two sides of equal length.

The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.

Thus, it also has two equal angles and one non equal angle. Thus,  it does not have all congruent angles.

The order of rotational symmetry of a  figure is the number of times we rotate up to 360° the figure such that it looks exactly the same as the original figure.

When we rotate the isosceles triangle up to 360° , only 1 time it looks exactly same as in the beginning because at each rotation the order of angles changes.

Therefore, The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

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Answer: B. An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

Step-by-step explanation: right on edge 2023

Answer:

Step-by-step explanation:

d)

[tex]\displaystyle\\\frac{h}{2h+5} +\frac{5}{6} =\\\\\frac{h*6+5*(2h+5)}{(2h+5)*6} =\\\\\frac{6h+2h(5)+5(5)}{2h(6)+5(6)} \\\\\frac{6h+10y+25}{12h+30} =\\\\\frac{16h+25}{12h+30}[/tex]

g)

[tex]\displaystyle\\\frac{3n}{(2n-1)^2} -\frac{5}{2n-1} =\\\\\frac{3n*1 -5*(2n-1)^}{(2n-1)^2}=\\\\\frac{3n(1)-2n(5)-1(-5)}{(2n-1)^2}=\\\\\frac{3n-10n+5}{(2n-1)^2} =\\\\\frac{-7n+5}{(2n-1)^2}[/tex]

Answer: Y= 1x + 0

Y=mx+b

The owner's profit for a ten-day period is equal to $ 6100.

We are given that:

Selling price of 1 pizza slice =  $ 2.50

Number of pizza slice sold per day = 200

Selling price for pizza slices in a day = 200 × $ 2.50

SP ( pizza ) = $ 500

Selling price of 1 sandwich = $ 2

Number of sandwich sold per day = 85

Selling price for pizza slices in a day = 85 × $ 2

SP ( sandwich ) = $ 170

Selling price in 1 day = $ 500 + $ 170 = $ 670

Now, Cost price in 1 day = $ 60

Profit in  1 day = $ 670 - $ 60 = $ 610

Profit in 10 days = 10 × $ 610 = $ 6100

Therefore, the owner's profit for a ten-day period is equal to $ 6100.

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Answer:

Step-by-step explanation:

What functions have a domain of (- ∞ ∞?

Which function below does not have a domain of (-∞0, ∞0)?○ f(x) = {²+2²+2,[4x-1, ifr <1if x ≥1O f(x)= 2² +1Of(x) = √2r-1+4Of(r) = 3r² - 5x + 24.5

The domain of any polynomial function (including quadratic functions) is x∈(−∞,∞). Functions of even degree will have a bounded range (from below if the leading coefficient is positive, from above if it's negative), and functions of odd degree will have range y∈(−∞,∞).

Answer:

f(x)=

1. 48x when x < or = 3,

2. 45x when 4 < or = x < or = 8

3. 42x when 9 < or = x < or = 19

4. 38x when x > 19

Step-by-step explanation:

3 boxes or less = Cost of tiles = $48

4 - 8 boxes ; cost = $45

9 - 19 boxes ; cost = $42

> 19 boxes ; cost = $38

Answer:

x=-2, -6

Step-by-step explanation:

factor the expression

y=x^2+ 8x + 12

y= (x+2)(x+6)

set the equation equal to 0, since you are finding zeros, or solutions

0=(x+2)(x+6)

split the equation into two parts

0=(x+2) and 0=(x+6)

solve the equations

you should get 2 zeros

x=-2, -6

Answer: False

Step-by-step explanation:

The length of the rectangle is 8 feet, width 1 is 7 feet and width 2 is 3.

A rectangle of area 80 square feet is broken and forms two square rectangles of area 56 square feet and 24 square feet, which has a common length.

Area of the rectangle = length × width

Now suppose the length is x feet, and let width 1 be a and width 2 be b.

Therefore we get that

            rectangle first is of area = x a

            rectangle second is of area = x b

Therefore original rectangle area = area of first rectangle + area of the second rectangle

80= x a + x b

80  = x( a + b)

As it is given that the length is common and is greater than both the width of the rectangle

56 = 8 × 7

24 = 8 × 3

So we will take x = 8 and a =7, b= 3

Now put these numbers in the equation to see if they fulfill the criteria

80 = 8( 7 + 3)

80 = 80

Therefore we get a length is 8, a width of 1 is 7, and a width of 2 is 3.

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Answer: x=12

Step-by-step explanation:

The range is: x-5

The mode is: 7

Hence,

x-5=7

x-5+5=7+5

x=12