4. A plumber charges $65 per hour to fix a leak. What is an equation that relates the total cost of a leak repair c to the number of hours, h, it takes the
plumber to fix the leak? Show work

Answer:

54√2

Step-by-step explanation:

6√3 × 3√6 =

( 6 × 3 ) × [tex]\sqrt{3*6}[/tex] =

18√18 = 18√(2×9) =

18 ( √2 × √9 ) =

(18 × 3)√2 = 54√2

The product of 6 square root 3 and 3 square root 6 in the simplest radical form will be 54 square root 2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that the two terms are 6√3  and 3√6.

We have to find the product of the given terms,

Radical notation is the term for an expression that employs a root, such as the square or cube root.

=6√3 × 3√6

=( 6 × 3 )√( 6 × 3 )

=18√18

= 18√(2×9)

=18 ( √2 × √9 )

=(18 × 3)√2

= 54√2

54√2 is the term shown in the radical form.

Thus, the product of 6 square root 3 and 3 square root 6 in the simplest radical form will be square root 54.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Step-by-step explanation:

circumference = 2 pi r

2 × 3.14 × r = 527.52 yd

r = 527.52 × 1/2 × 1/3.14

r = 84 yd

Surface area = 4 pi r²

= 4 × 3.14 × 84²

= 88,623.36 yd²

Answer:

slope intercept for is y=MX+b and to find the slope it's y1-y2/x1-x2

The slope would be 10/3.

And the line should intersect at the origin (0,0) and the second dot should be at the point (3,10)

Answer:

A) [tex]\tan \theta[/tex]

Step-by-step explanation:

[tex] \frac{\sin \theta}{ \sqrt{1 - { \sin}^{2} \theta } } \\ \\ = \frac{\sin \theta}{ \sqrt{ { \cos}^{2} \theta } } \\ \\= \frac{\sin \theta}{{ { \cos} \theta } } \\ \\ = \tan \theta[/tex]

18.0% which is the same as 18%

==========================================================

Work Shown:

p = purchase price = $281,700

c = closing costs

c = 2.4% of purchase price

c = 0.024p

c = 0.024*(281,700)

c = 6,760.80

d = unknown down payment amount

m = total move in costs = $57,466.80

m = d + c

d = m - c

d = 57,466.80 - 6,760.80

d = 50,706

down payment percent = d/p = (50,706)/(281,700) = 0.18 = 18%

18% of the purchase price is the down payment.

Answer: 6

Step-by-step explanation:

The length of all sides of the square ceiling is 15 ft

Perimeter of the ceiling = 4 * length of each side = 15 * 4 = 60 ft

Distance from one corner to another corner i.e. BD and AC (in the figure below) forms the diagonals of the square ceiling

We know that,

Diagonal of a square = √(2) * a , where a is the length of the side of the square.

Therefore,

BD = AC = 15 √(2)

Thus,

Total crepe paper required = Perimeter of the ceiling + BD + AC = 60 + 15 √(2) + 12 √(2) = 102.43 ft

Crepe paper in each roll = 20 ft

Therefore,

Number of rolls required = 102.43 / 20 = 5.1215

Therefore, the minimum number of rolls she should buy is 6

Answer: awnser is m= 1/6

Step-by-step explanation: m = add the terms which is  -1 -5m-4+6 m= 1-5m

step 2 then rerange the terms  to m= 1-5m to m = 5m + 1

step 3  add 5m to both sides m= -5m+1 to m + 5m= -5m + 1  + 5m

step 4  simplify and combine like terms 6m= 1

step 5 divide both sides by the same factor 6m= 1  6m/6 =  1/6

step 6 simplify Cancel terms that are in both the numerator and denominator so it is m= 1/6 is the correct awnser mark me brainliest please

Answer:

<C=48 because 90-42=42 as in the other side of the triangle.

<B=42 because vertical angles are always congruent.

<B+<D=90 because <D is 48 because it is vertical to <C

Answer:

[tex]4\frac{7}{20}[/tex]

Hope This Helps! :)

Answer:

[tex]4\frac{7}{20}[/tex]

Step-by-step explanation:

[tex]9\frac{1}{10}-4\frac{3}{4}[/tex]

Convert in improper fractions:

[tex]\frac{10*9+1 }{10} -\frac{4*4+3}{4}\\\\\frac{90+1}{10}-\frac{16+3}{4}\\\\\frac{91}{10}-\frac{19}{4} < ==find\ the\ LCM\ or\ the\ common\ denominator\ for\ 10\ and\ 4\ (20)\\\\\frac{182}{20} -\frac{95}{20}\\\\ \frac{87}{20} < ==convert\ to\ a\ mixed\ fraction\\\\ 4\frac{7}{20}[/tex]

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 10:

10, 20, 30, 40

LCM of 4 and 10 is 20.

Hope this helps!

Answer:

86% of original (with tax included)

Step-by-step explanation:

(16 000 x 1.075) / 20 000   x 100%  = 86 %

If it didn't have that piece cut out on the bottom, it would be a rectangle that's 9cm wide and 5cm high.  Its area would be 9x5= 45 cm².

But that piece is cut out of the bottom.  The cut-out piece is 3cm wide and 3cm high, so its area is 3x3= 9 cm².

9 cm²  have been cut out of the 45 cm²  of the complete big rectangle.  So the remaining area of the figure is  45 - 9 = 36 cm² .

Answer:

1 true 2true 3false 4true 5 true

Answer:

1: True 2: False 3: True 4: True 5: False

========================================================

Explanation:

6/150 = 0.04 = 4% of the population are albino.

That leaves 100% - 4% = 96% that aren't albino.

96% of 1200 = 0.96*1200 = 1152

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

Another way to look at it:

4% of the population are albino, so there are 0.04*1200 = 48 albino tigers.

This means there are 1200-48 = 1152 non-albino tigers.

Answer:

11.80

Step-by-step explanation:

The $11.80 will be her July finance charge option (c) is correct.

It is given that Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle.

It is required to find the July finance charge.

It is defined as the annual percentage rate that represents the yearly interest rate on the borrowing.

We have a principal amount = $969.26

APR = 14.61 %

Per month percent rate = [tex]\frac{14.61}{12}[/tex] ⇒ 1.2175 %

We can calculate the finance charge from the given formula:

Finance charge = Principal value×rate×Time

= 969.29×1.2175%×1

[tex]= 969.29\times\frac{1.2175}{100}\times1[/tex]

= $11.80

Thus, the $11.80 will be her July finance charge.

Learn more about the finance charge here:

https://brainly.com/question/2588555

Answer:

125 barn 75 sleeping

Step-by-step explanation:

5/8 of 200 cows

of means multiply

5/8 x 200 = 1000/8 = 125

125 cows grazing

200-125 = rest of cows

75 = rest of cows sleeping

Answer:

14π inches

Step-by-step explanation:

Diameter of the clock = 7 × π = 7π

one day = 24 hours which means

2 clockwise turns around the clock

sooo 7π × 2 = 14π

Answer:

527.52 in

Step-by-step explanation:

To answer this question you have to find the circumference of the circle.

You have to use the formula below to find the circumference.

C = π d

Here,

d ⇒ diameter ⇒ 7 in

Let us solve it now.

C = π × d

C = 3.14 × 7

C =  21.98 in

Let us find it now.

Distance traveled in a day = 21.98 × 24

                                            = 527.52 in

Answer:

Northside

Median: 36

Range: 32

IQR: 17

Southside:

Median: 39

Range: 38

IQR: 22

Step-by-step explanation:

Northside first

Order the ages from least to greatest

24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56

Median is 36 since it's in the middle

Subtract the greatest number from the smallest number to find the range (56-24) = 32

To find the IQR you need the ages least to greatest

24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56

Find the lower quarter = 32

Find the upper quarter = 49

Subtract 49 and 32 (49-32) = 17

Southside

The Median is the line at the middle of the box, in this case its between 38 and 40 which is 39.

The range is 61 - 23 = 38 (Greatest - least)

The IQR is 52 - 30 = 22

Hope this helps!

Answer:

A:) Yes it is a right triangle

Step-by-step explanation:

[tex]~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5[/tex]

Answer:

A

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = [tex]\sqrt{5}[/tex] , and ([tex]\sqrt{5}[/tex] )² = 5

([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{3}[/tex] )² = 2 + 3 = 5

Thus the 3 sides form a triangle

the area of the triangle.

area of triangle= 1/2 × h × b

= 1/2 × 8 × 11

= 44cm^2

Answer:

44

Step-by-step explanation:

area of a triangle=½×base×height

hope that hepls

Answer:

[tex]\boxed{{x} > -3}[/tex]

Step-by-step explanation:

Given inequality:

To solve this inequality, we need to isolate the variable on one side and the constant on the other. To do this, we can divide both sides by -5.

[tex]\rightarrowtail -5x < 15[/tex]

[tex]\rightarrowtail \dfrac{-5x}{-5} < \dfrac{15}{-5}[/tex]

[tex]\rightarrowtail x < \dfrac{15}{-5}[/tex]

Note: If we are dividing both sides by a negative integer, the sign changes.

[tex]\rightarrowtail {x} > \dfrac{15}{-5}[/tex]

To simplify 15/-5, we can multiply -1 to the numerators and the denominators. As a result, the negative sign should transfer to the numerator, as when two negative integers multiply each other, the result is a positive integer.

[tex]\rightarrowtail {x} > \dfrac{15}{-5} \times \dfrac{-1}{-1}[/tex]

[tex]\rightarrowtail {x} > \dfrac{-15}{5}[/tex]

[tex]\rightarrowtail \boxed{{x} > -3}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-5x < 15}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\\\mathsf{\dfrac{-5x}{-5} < \dfrac{15}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x > -3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x > -3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: 96

Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.

Answer:

hcf=2 lcm=3696

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that a cylinderal can has base with a diameter of 6 cm and its height measures 5 cm.

So,

Radius = Diameter/2 = 6/2 = 3 cm

We know that,

Substituting required values:

➝ TSA = 2 × 22/7 × 3(5 + 3)

➝ TSA = 44/ 7 × 3 × 8

➝ TSA = 1056/7

➝ TSA = 150.8 cm²

Hence,

Answer:

Total surface area of cylindrical can :- 150.72 cm²

Step-by-step explanation:

Given:-

To find :-

Solution :-

Formula for Total surface area of cylinder :-

2πr(r + h)

putting the known values ,

= 2 × 3.14 × 3 ( 3+5) cm²

= 18.84 × 8 cm²

= 150.72 cm²

Answer:

RS RT ST

Step-by-step explanation:

This is due to the facts that tangency means having contact at a single point or along a line without crossing. so the first 3 options are correct

1) Not Congruent

2) Congruent

3) Congruent

4)Congruent

Answer:

Answer:56.8

Step-by-step explanation:

First you get how much he earned

Then you get how much days he worked

Then you divide

£284/5

Answer: £57.20

Hope this helps you guys!

Answer:

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

We have,

The function representing the price charged by the customers is .

The function representing the number of customers is .

Then, the product of the functions is given by,

Substituting x = 2 in the above product gives,

Also, the charge per customer when x = 2 is,

Hence, the product (p-c)(2) represents,

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Answer:

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use Pythagorean's theorem. The two shorter sides (6+x) and 20 are apart of a right triangles of a hypotenuse of (18+6). Therefore:

[tex](6+x)^2+20^2} =(18+6)^2[/tex]

[tex](6+x)^2+400 =576[/tex]

[tex](6+x)^2=176[/tex]

Take the square root of both sides:

[tex]6+x=\sqrt{176}[/tex]

[tex]x=\sqrt{176} -6[/tex]

Moving on to the smaller triangle, we can find the value of 'y' to be:

[tex]6^2+y^2=18^2[/tex]

[tex]y^2+36=324[/tex]

[tex]y^2=288[/tex]

[tex]y=\sqrt{288}[/tex]

Answer:(x+5)(x-2) I Dont know what a special product is sry

Step-by-step explanation: