To estimate the product of 32 x 29, what is the best way to round the factors?

30 x 25
35 x 30
35 x 25
30 x 30

Answer:

Australia/New Zealand (56%), Northern Africa and Western Asia (46%), Australia/New Zealand (28%), Central and Southern Asia (25%), Latin America and the Caribbean (18%), Eastern and Southeastern Asia (3%), and Europe and Northern America (2%).

Step-by-step explanation:

Using proportions, it is found that the two cities are 27.5 miles apart.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From the given scale, we have that each inch of distance represents 10 miles. Hence the distance in miles for a distance of 2 and 3/4 miles = 2.75 miles is given by:

D = 10 x 2.75 = 27.5 miles.

Hence, the two cities are 27.5 miles apart.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

To learn more about the addition;

brainly.com/question/29464370

#SPJ2

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

a:b

3:7

Step-by-step explanation:

a:b  also means a/b

Taking the equation

7a = 3b

Dividing each side by b

7a/b = 3b/b

7 a/b = 3

Divide each side by 7

a/b = 3/7

The ratio is 3/7

a:b

3:7

Answer:

a:b = 3/7

Step-by-step explanation:

we need to find the ratio a:b which is the same as a/b.

7a=3b

Devide left and right of the = sign by b gives

7a/b = 3 * b/b

7a/b = 3 * 1

7a/b = 3

Multiply left and right of the = sign by 1/7 gives

1/7 * 7a/b = 1/7 * 3

7/7 * a/b = 3/7

1 * a/b = 3/7

a/b = 3/7

Since a/b is the same as a:b, we now have the answer.

a:b = 3/7

Given:

Principal = P = $4,200

Time = t = 15 years

Rate = r = 5% = 0.05

semiannually , n = 2

So, the total amount = A

The interest earned = A - P = 8809.78 - 4200 = 4609.78

so, the answer will be The interest earned = $4,609.78

Answer:

6.29 x 10^5

Step-by-step explanation:

You move 5 decimal points behind the 0s, hence it's powered by 5.

Answer:

6.29 x 10^5.

Step-by-step explanation:

629000.

Counting the number of digits after the first digit (6), we get n = 5.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

For more such questions on homework

https://brainly.com/question/28521601

#SPJ8

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

Given that,

The area of a rectangular dining table = 9000 sq ft

Solution,

Let the width is b ft. Length is 20 less then four time the width.

Length = (4b-20) ft

The formula for the area of a rectangle is given by :

A = lb

Substitute all the values,

\(9000=b(4b-20)\\\\4b^2-20b-9000=0\\\\\text{It is a quadratic equation, when we solve it we get :}\\\\b=50,-45\ feet\)

Neglecting negative value, b = 50 ft

Length, l = (4(50)-20)

l = 180 ft

So, the length is 180 ft and width is 50 ft.

The solutions are θ = 5π/3 and θ = 4π/3 for equation -10sinθ - 8 = 5√3 - 8, option D is correct.

The given equation is -10sinθ - 8 = 5√3 - 8

Adding 8 to both sides, we get:

-10sinθ = 5√3 - 8 + 8

Simplifying, we get:

-10sinθ = 5√3

Dividing both sides by -10, we get:

sinθ = -5√3/10

Simplifying the fraction, we get:

sinθ = -√3/2

We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).

However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.

Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

The cost of the 28 inches and 36 inches diagonal Smart TVs, based on the quadratic cost function are;

28 - inch diagonal; $134

36 - inch diagonal; $165

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The cost of the Smart TV as a function of the diagonal length is C(d) = 0.322·d² - 16.776·d + 351.444

The above function indicates that the cost of a Smart TV that is 28 inches long is; C(28) = 0.322 × 28² - 16.776 × 28 + 351.444 ≈ 134

The cost of a Smart TV with a diagonal of 36 inches is therefore;

C(36) = 0.322 × 36² - 16.776 × 36 + 351.444 ≈ 165

Learn more on the evaluation of a function here: https://brainly.com/question/2284360

#SPJ1

Answer:

A line has a slope of 2/3 and y–intercept -2. The equation of the line is y = (2/3)x - 2.

Step-by-step explanation:

Hope this helps

Answer:

y = (2/3)x - 2

Step by step explanation:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, slope of the line is 2/3

y-intercept is -2.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

c is the y-intercept.

y = (2/3)x - 2

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

Read more about Degree of Polynomials at: https://brainly.com/question/1600696

#SPJ1

Answer:

55 minutes.

Step-by-step explanation:

1 2/3 - 3/4 = 11/12 hours

11/12 hours = 55 minutes.

Answer:

Just do 180-48!!

The answer is 132 degrees

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

8x - 3 = 5(2x + 1)

8x - 3 = 10x + 5

8x - 10x = 5 + 3

-2x = 8

x = 8/-2

x = -4

The conjugates of z1 and z2 are given below:

In mathematics, a pair of binomials with identical phrases that part opposite arithmetic operators in the midst of these similar terms are referred to as conjugates.

For instance, the conjugate of p + q is p - q.

'

With this in mind, the conjugate which is the same number with the imaginary part negated is given as:

The conjugate of 7+2i is 7-2i;

the conjugate of -3-i is -3+i.

Read more about graphs here:

https://brainly.com/question/19040584

#SPJ1

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

Learn more about the distance formula here: brainly.com/question/24509115

#SPJ1

Answer: 112 feet

Step-by-step explanation:

Step-by-step explanation:

work is on the paper for you, somthing that might help you with your future with math is PEMDAS always do exponents first when it's an equation like your first, second, and third question. I hope this helped.

Answer:

Given function is:

To find the slope of any tanget line using limit definition.

we get,

Slope m is

Slope is -1/3

f(x) at x=3 is,

Put x=3 in f(x), we get

we know that, the equation of line with slope m and point (x1,y1) is given is

Here m=-1/3 and (x1,y1)=(3,1)

Substitute we get,

The required equation of a tangent line at x=3 is y=-1/3 x+2.

The algebraic representation of "sum of a number and five" can be written as

n + 5

Where n represents the "number".

In mathematics, an algebraic representation is a way of expressing a mathematical relationship or equation using symbols, letters, and mathematical operations. It is a symbolic representation of a mathematical expression or equation that allows us to work with abstract concepts and manipulate them according to certain rules.

For example, the equation y = 2x + 1 is an algebraic representation of a linear function, where y and x represent variables and 2x + 1 is an expression that relates them. Algebraic representations are often used in algebra, calculus, and other areas of mathematics to describe relationships between quantities, solve equations, and make predictions based on mathematical models.

Hence, the algebraic representation of "sum of a number and five" can be written as

n + 5

Where n represents the "number".

To know more algebraic representation here

https://brainly.com/question/1688800

#SPJ1

Answer:

729

Step-by-step explanation:

You are multiplying 3 each time. The first 4 terms are given to you:

Term 1: 9

Term 2: 9 x 3 = 27

Term 3: 27 x 3 = 81

Term 4: 81 x 3 = 243

Term 5: 243 x 3 = 729

729 is the 5th term of the geometric sequence.

Answer:

729

Step-by-step explanation:

Each terms are multiplied by 3.

So the 5th term is 243*3 = 729.

Step-by-step explanation:

The slope is $2.50. The intercept is also $2.50 since (0, $2.50) is on the line.

The linear function is then y = $2.50 x + 2.50

Answer:

Step-by-step explanation:

and ok thats the deal

Answer:

there isn't any choices but 6/12+1/12=7/12

or 4/12+3/12=7/12

hope this helps

have a good day :)

Step-by-step explanation:

Answer:A= 75

B-150

C-225

D-300

Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.

Answer:

order from top to bottom 75  150  225  300

Step-by-step explanation:

Answer:

150 units woild fill the volume of the prism.

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

For more such questions on triangle.

https://brainly.com/question/17335144

#SPJ8