Which system of measurement uses the minim as the basic unit of liquid measure?

by breaking it down u can write it as

15p^-4/_20p^-12 * q^-6/q^-3

15/-20=-3/4

using law of indices we have

-3/4p^-4+12 * q^-6+3

-3/4p^8q^-3

the answer is the first own

Answer:

age of son= X

Father's age =3x

After 10 years , father's age= 3x +10

Son's age = X+10

Operations:

3x + 10 =2(x + 10 )

3x + 10 = 2x + 20

X= 10

Therefore, present age of son= 10 years

Father's present age = 30 years

After 10 years son will be 20 years and the father 40 yes which is double

The weight of a 36-inch piece of PVC pipe is 0.20 pounds

The given parameters about the 36-inch piece of PVC pipe are

Height, h = 36 inches

Outside diameter, D = 0.82 inches

Inside diameter, d= 0.75 inches

The volume of the PVC pipe is then calculated as:

V = πh(D/2)^2 - πh(d/2)^2

Substitute the known parameters in the above equation

V = 3.14 * 36 * (0.82/2)^2 - 3.14 * 36 * (0.75/2)^2

Evaluate the quotients

V = 3.14 * 36 * 0.41^2 - 3.14 * 36 * 0.375^2

Evaluate the exponents

V = 3.14 * 36 * 0.1681 - 3.14 * 36 * 0.140625

Evaluate the products

V = 19.002024 - 15.89625

Evaluate the difference

V = 3.105774 cubic inches

From the question, we have:

Weight =  0.063 pounds per cubic inch

So, the total weight is

Total weight = 3.105774 cubic inches * 0.063 pounds per cubic inch

Evaluate the product

Total weight = 0.195663762 pounds

Approximate

Total weight = 0.20 pounds

Hence, the weight of a 36-inch piece of PVC pipe is 0.20 pounds

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

To solve this question, we simply need to divide the total amount of students by 8% to find out how many students were absent and how many were present.

However, we can't simply multiply it by 8%, so we need to turn that into a decimal.

8% - 0.08

Multiply:

355 x 0.08

= 28.4

Round:

28 kids were absent

Subtract:

355 - 28

= 327

This means that 28 kids were absent, and 327 kids were present.

Mass is the amount of matter that a body possesses and its unit in the international system of units is the kilogram.

Answer: In 2 pounds there are 0.907 kilograms.

Answer:

376.8 [tex]units^{2}[/tex]

Step-by-step explanation:

There are a lot of moving parts.  We need to find the area of the bottom of the circle the center and the top circle.

The top and the bottom will be the same.

The area of a circle:

a = [tex]\pi[/tex][tex]r^{2}[/tex]

a = 3.14([tex]5^{2}[/tex])

a = 3.14(25)

a =78.5  

The center:  Think of this as a label on soup can.  If you tear the label off it would be a rectangle.  To find the area we would multiply the height of the can by the circumference of the circle.  They tell us the height is 7 and we can calculate the circumference.

C = [tex]\pi[/tex]d The d is the diameter it is 2 of the radiuses.  

C = [tex]\pi[/tex]10

C = 3.14(10)

C = 31.4

Now we multiply 31.4 and 7 together to find the area of the center of the cylinder.

(31.4)(7) = 219.8

The total area:

top 78.5

center 219.8

bottom 78.5

Total 376.8

The number of terms in the given arithmetic sequence is n = 10. Using the given first, last term, and the common difference of the arithmetic sequence, the required value is calculated.

The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

The given sequence is an arithmetic sequence.

First term a1 = [tex]1\frac{1}{2}[/tex] = 3/2

Last term an = [tex]2\frac{1}{2}[/tex] = 5/2

Common difference d = 1/9

From the general formula,

an = a1 + (n - 1)d

On substituting,

5/2 = 3/2 + (n - 1)1/9

⇒ (n - 1)1/9 = 5/2 - 3/2

⇒ (n - 1)1/9 = 1

⇒ n - 1 = 9

⇒ n = 9 + 1

∴ n = 10

Thus, there are 10 terms in the given arithmetic sequence.

learn more about the arithmetic sequence here:

https://brainly.com/question/503167

#SPJ1

Disclaimer: The given question in the portal is incorrect. Here is the correct question.

Question: If the first and the last term of an arithmetic progression with a common difference are [tex]1\frac{1}{2}[/tex], [tex]2\frac{1}{2}[/tex] and 1/9 respectively, how many terms has the sequence?

Answer:

  8:07:12 am

Step-by-step explanation:

The lights will change simultaneously after any multiple of the least common multiple of their cycle times.

The least common multiple of a set of numbers is the product of the highest powers of their prime factors.

  48 = 2⁴×3

  72 = 2³×3²

  108 = 2²×3³

The highest power of the factor 2 is 4. The highest power of the factor 3 is 3, so the LCM of the numbers 48, 72, and 108 is ...

  LCM = 2⁴×3³ = 16×27 = 432

The lights will change simultaneously after each period of 7 minutes 12 seconds. They will change simultaneously again at 8:07:12 am.

Answer:

[tex]\displaystyle{\dfrac{5x-12}{(x+3)(x-3)} }[/tex]

Step-by-step explanation:

We are given the expression:

[tex]\displaystyle{\dfrac{3}{x^2-9} + \dfrac{5}{x+3}}[/tex]

First, factor the denominator [tex]\displaystyle{x^2-9}[/tex] to [tex]\displaystyle{(x+3)(x-3)}[/tex] via difference of two squares:

[tex]\displaystyle{\dfrac{3}{(x+3)(x-3)} + \dfrac{5}{x+3}}[/tex]

Next, multiply the expression 5/(x+3) by [tex]\displaystyle{x-3}[/tex] both denominator and numerator:

[tex]\displaystyle{\dfrac{3}{(x+3)(x-3)} + \dfrac{5(x-3)}{(x+3)(x-3)}}[/tex]

Add both together since they have same denominator now:

[tex]\displaystyle{\dfrac{3+5(x-3)}{(x+3)(x-3)} }[/tex]

Simplify the numerator:

[tex]\displaystyle{\dfrac{3+5x-15}{(x+3)(x-3)} }\\\\\displaystyle{\dfrac{5x-12}{(x+3)(x-3)} }[/tex]

Therefore, the sum is:

[tex]\displaystyle{\dfrac{5x-12}{(x+3)(x-3)} }[/tex]

Based on the various costs resulting from the lease terms at the local dealership, the total cash to pay at signing is $5,480

This can be found by the formula:

= Down payment + Monthly payment + Security deposit + Acquisition fee

Solving gives:

= 4,100 + 475 + 415 + 490

= $5,480

In conclusion, option A is correct.

Find out more on lease payment at https://brainly.com/question/8734304

#SPJ1

Answer: B. $5005

Step-by-step explanation:

Step-by-step explanation:

Transcribed image text: Choosing a Photo Francesca wants to give one of her photographs to a friend as a gift. Help her choose the photograph and determine the style and size of the mat she can afford 1. Describe the design and original dimensions of the photo you chose for Francesca to give as a gift. 2 points: 1 point for describing the photo and 1 point for including the dimensions) Photo description: The photo Shous Francasca and has Friend huagina. Dimensions (including units): The still Photo is a Xg meaning its width is indas and Langth is gind Finding the Total Area of the Photo and Mat 2. Francesca wants to glue her photo on top of a mat that will increase the length of each side. The mat border has a width of x, so the length of each side would increase by 2x inches. Represent the length and width of the mat with an expression. (2 points) Length: Width: 3. The area of the mat is the product of the length and width. Write an expression for area as the product of two binomials. Do not multiply.(1 point)

Answer:

Situation 2 (B)

Step-by-step explanation:

I think it would be B since the power of the gear increases proportionally with the radius.

Answer: B. alternate interior angles.

Step-by-step explanation:

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{-5} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(-5)}}{2(3)} \implies x = \cfrac{ -2 \pm \sqrt { 4 +60}}{ 6 } \\\\\\ x= \cfrac{ -2 \pm \sqrt { 64 }}{ 6 }\implies x=\cfrac{ -2 \pm 8}{ 6 }\implies x= \begin{cases} ~~ 1\\ -\frac{5}{3} \end{cases}[/tex]

Answer:

-5/3 and -1

Step-by-step explanation:

I am not sure what you mistake is, but here is my solution.  I hope that it helps.  I am sorry that you are frustrated.  We have all been there.

The equation be 20.10 = X × 3 × 5/100 then, the value of X = 134.

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

The formula for Simple Interest exists PTR/100,

where, P = Principal

T = Time period in years

R = Rate of interest per annum.

Simple interest = PTR / 100

20.10 = X × 3 × 5/100

simplifying the above equation, we get

20.10 = 15X / 100

15X = 20.10 × 100 = 2010

X = 2010/15 = 134

X = 134.

Therefore, the value of X exists at 134.

To learn more about the value of X refer to:

brainly.com/question/12862290

#SPJ9

Answer:

C

Step-by-step explanation:

Givens

r = 2 cm

h = 15 cm

pi = 3.14                                    The question does not expect a number for pi

Formula

V = (1/3) pi r^2 h                       Substitute givens into formula

Solution

V = 1/3 * pi * 2^2 * 15               Combine. Remember pi is left as it is

V = 1/3 * pi * 4 * 15                    

V = 1/3 pi * 60                         Divide 60 by 3

V = 20 pi

The equation of parabola is given by  

                                         (X-h)^2 = 4p(Y-k)^2

2p = 30 - 0

p = 15

4p = 4 × 15

    = 60

In this case h = 0

So, we have (h,p) = (0,15)

So we get  

We have equation: x^2 = 60(y-15)

y = x^2 / 60 + 15

To learn more about parabola from the given link

https://brainly.com/question/4061870

#SPJ4

A statement which best defines an output is: B. an output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).

In Mathematics, there are different types of functions and these include the following;

In this context, we can infer and logically deduce that a statement which best defines an output is that it's the result of a relation or the function rule, which usually are the y-values in a set of ordered pairs, on a table or a graph.

Read more on function here: https://brainly.com/question/9315909

#SPJ1

Complete Question:

Which of the following best defines an output?

A. An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.

B. An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

C. An output is a special type of relation for which there is a rule that pairs each input with exactly one output.

D. An output is a set of ordered pairs in which no y-value repeats.

The base area of cube B is 25/9  times larger than the base area of cube A.

What is area cubic?

We know that volume of cube with each side of  units is equal to .

First of all, we will find the each side of cube A and B as:

[tex]A^{3} = 27[/tex]

[tex]\sqrt[3]{A^{3} } = \sqrt[3]{27}[/tex]

A = 3

[tex]B^{3} = 125[/tex]

[tex]\sqrt[3]{B^{3} } = \sqrt[3]{125}[/tex]

B = 5

Now, we will find base area of both cubes as:

[tex]\frac{Base area of B}{Base area of A} = \frac{B^{2} }{A^{2} }[/tex]

[tex]\frac{Base area of B}{Base area of A} = \frac{5^{2} }{3^{2} }[/tex]

[tex]\frac{Base area of B}{Base area of A} = \frac{25}{9}[/tex]

Therefore, the base area of cube B is 25/9  times larger than the base area of cube A.

Learn more about cube

brainly.com/question/23728751

#SPJ4

The equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form is,

[tex]y=\frac{x}{7} +\frac{15}{7}[/tex]

Given:  [tex](-1,2)[/tex] and [tex](6,3).[/tex]

The slope of the line passing through[tex](x1,y1)[/tex] [tex](x2,y2)[/tex] is [tex]\frac{y^{2} }{x^{2} } -\frac{y^{1} }{x^{1} }[/tex]

The slope of our line[tex]=\frac{(3-2)}{(6+1)} =\frac{1}{7}[/tex]

Slope intercept from the equation would be [tex]y= 1/7 x +C[/tex]

Find C:

Since [tex](-1,2)[/tex] lies on the line, substitute these in the line equation

[tex]2 = \frac{1}{7(-1)} +c[/tex]

[tex]C=2+\frac{1}{7} =\frac{15}{7}[/tex]

Therefore, the equation in slope intercept form is[tex]y=\frac{x}{7} +\frac{15}{7}[/tex]

To learn more about the Equation of a passing line, refer to:

https://brainly.com/question/13517044

#SPJ9

The graph of f(x) = x + 3 and g(x) = x is sketched using the geogebra tool. The way of determining the graph of f(x) + g(x) is by adding the y-coordinate of g(x) to the y-coordinate of f(x).

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The graph of f(x) = x + 3 and g(x) = x is sketched using the geogebra tool. The way of determining the graph of f(x) + g(x) is by adding the y-coordinate of g(x) to the y-coordinate of f(x).

Find out more on equation at: brainly.com/question/2972832

#SPJ1

The function that represents the difference between the moving companies' rates is:

h(x) = -2x + 200.

The difference of two functions is found subtracting the like terms from the functions.

In this problem, the functions for the rates are given as follows:

Hence the difference is given by:

h(x) = 3x + 400 - (5x + 200) = 3x - 5x + 400 - 200 = -2x + 200.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

the surface area of the sphere is π/4 cm^3

It is important to know the formula for surface area and volume of a sphere

Surface area = [tex]\frac{4\pi }{r^2}[/tex]

Volume = [tex]\frac{4}{3} \pi r^3[/tex]

First, let's determine the value of radius, r

The value for volume was given as  256/3π cm3.

[tex]\frac{256}{3} \pi = \frac{4}{3} \pi r^3[/tex]

Pi cancels out and we have cross multiply to get the radius

[tex]256 * 3 = 4 * 3 r^3[/tex]

[tex]12r^3 = 768[/tex]

Make r the subject of the formula

[tex]r = \sqrt[3]{\frac{768}{12} }[/tex]

[tex]r = \sqrt[3]{64}[/tex]

r = 4

Let's substitute to find the surface area

Surface area = [tex]\frac{4\pi }{4^2}[/tex]

Surface area = π/4

Surface area = π/4 cm^3

Thus, the surface area of the sphere is π/4 cm^3

Learn more about a sphere here:

https://brainly.com/question/10171109

#SPJ1

The Hardy-Weinberg principle states that the frequency of alleles in a large randomly reproducing population will remain constant from generation to generation if certain assumptions are met.

The assumptions are:

A population is not evolving while it is in Hardy-Weinberg equilibrium. Discover how violations of Hardy-Weinberg assumptions result in evolution.

Therefore, the Hardy-Weinberg principle states that the frequency of alleles in a large randomly reproducing population will remain constant from generation to generation if certain assumptions are met.

The assumptions are:

Know more about the Hardy-Weinberg principle here:

https://brainly.com/question/3406634

#SPJ4

Total charges from bank A exists $15.

Total charges on Bank B spending exists $45.

Given: Bank A charges a $15 monthly fee for a checking account and debit card, with unlimited transactions.

Shade 25 transactions.

Total charges from bank A = $15 monthly

Bank B charged a $35 monthly fee for a checking account and debit card, plus $ 0.70 for each transaction.

She made 25 transactions.

Total charges on bank B = $35 + (0.40)25

Total charges on bank B = $35+10

Total charges on bank B = $45

To learn more about Total charges on the bank refer to:

https://brainly.com/question/17226704

#SPJ4

Using the future value formula, it is found that $100,336.67 will be available at the end of the time period, of which $40,336.67 was of interest earned.

The future value formula is given by:

[tex]F = P\frac{(1 + i)^n - 1}{i}[/tex]

In which:

For this problem, considering the situation described, especially the quarterly compoundings, the parameters are given as follows:

P = 1000, i = 0.065/4 = 0.01625, n = 15 x 4 = 60.

Hence the amount available is given by:

[tex]F = P\frac{(1 + i)^n - 1}{i}[/tex]

[tex]F = 1000\frac{(1 + 0.01625)^{60} - 1}{0.01625}[/tex]

F = $100,336.67

The amount deposited was:

15 x 4 x $1000 = $60,000.

Hence the amount earned in interest was:

$100,336.67 - $60,000 = $40,336.67

More can be learned about the future value formula at https://brainly.com/question/5025949

#SPJ1

Answer:

D

Step-by-step explanation:

hihihihihuiuiijihihihihihihih

Answer:

22.05

Step-by-step explanation:

First, convert 63% into a decimal.

To do this, divide it by 100.

[tex] \frac{63}{100} = 0.63[/tex]

Multiply 0.63 by 35.

[tex]35 \times (0.63) = 22.05[/tex]

Answer:

Step-by-step explanation:

.63(35)= 22.05

Multiply .63(35)

Step-by-step explanation:

Given,

s=5

t=8

solution,

= 3st² - s²

= 3*5*8² - 5²

= 3*5*64 - 25

= 960 - 25

= 935

Step-by-step explanation:

1: change 'sin²A' and 'cos²B' into (1-cos²A)and (1-sin²A) respectively.

2:open the brackets and put signs accordingly.

3: cancel (-1) and (+1).

4: remaining is your answer.