Using a calculator or otherwise, calculate the exact value of 498.79×14.38. Round your answer to one (1) decimal place.

The equation that represents the partial sum of the geometric series is 125, 25, 5, 1

Given the partial sum of a geometric sequence expressed as:

[tex]\sum\left { n=4 \atop {n=1}} \right. 125(\frac{1}{5} )^{n-1}[/tex]

If n = 1, the

a(1) = [tex]125(\frac{1}{5} )^{1-1}\\[/tex]

a(1) = [tex]125(\frac{1}{5} )^{0}\\[/tex]

a(1) = 125

If n = 2

a(2) = [tex]125(\frac{1}{5} )^{2-1}\\[/tex]

a(2) = [tex]125(\frac{1}{5} )^{1}\\[/tex]

a(2) = 25

If n = 3

a(3)= [tex]125(\frac{1}{5} )^{3-1}\\[/tex]

a(3) = [tex]125(\frac{1}{5} )^{2}\\[/tex]

a(3) = 5

If n = 4

a(4)= [tex]125(\frac{1}{5} )^{4-1}\\[/tex]

a(4) = [tex]125(\frac{1}{5} )^{3}\\[/tex]

a(4) = 1

Hence the equation that represents the partial sum of the geometric series is 125, 25, 5, 1

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Answer:

a

Step-by-step explanation:

Answer:

mark me brainliest

Step-by-step explanation:

To write 0.08333333333 as a fraction you have to write 0.08333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.08333333333 = 0.08333333333/1 = 0.8333333333/10 = 8.333333333/100 = 83.33333333/1000 = 833.3333333/10000 = 8333.333333/100000 = 83333.33333/1000000 = 833333.3333/10000000 = 8333333.333/100000000 = 83333333.33/1000000000 = 833333333.3/10000000000 = 8333333333/100000000000

And finally we have:

0.08333333333 as a fraction equals 8333333333/100000000000

Answer:

Step-by-step explanation:

Its 1×3×1 on top And 3×4×3 on the bottom. That is 3/36, but simplify it...that's 1/12 if you answer has a one on top, you could take your .08333 and use the x^-1 button on your calculator. Also there are calculators that do fraction to decimal and decimal to fraction conversions. They have buttons like F>D and D>F

Answer:

What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11) 1060 by cata

Answer:

95

Step-by-step explanation:

Hope this helps :)

Merry Christmas. Have fun.

The size of ∠CDE labelled d° = 95° Given,

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given,

In triangle DAF

∠DAF = 25°

∠DFA = 40°

Sum of all interior angles is 180°

∠DAF + ∠DFA + ∠ADF = 180°

25° + 40° + ∠ADF = 180°

65° + ∠ADF = 180°

∠ADF = 180° - 65°

∠ADF = 115°

Triangle DFE is equilateral

∠FDE = 60°

ABCD is an square

∠CDA = 90°

Now,

∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°

90° + 115° + 60° + d° = 360°

d° = 360° - 265°

d° = 95°

Hence, 95° is the size of ∠CDE labelled d°.

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Answer:A standard form is a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely, the standard form is used. For example, 4.5 billion years is written as 4,500,000,000 years.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=2,−5,5

if any doubt leave a comment

Give BRAINLIEST

Answer:

160

Step-by-step explanation:

4th square number: 16

12th square number: 144

16 + 144 = 160

Answer:

mean=57

range=19

Step-by-step explanation: there you go

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

Answer:

44° and 99°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Subtract the 2 given angles from 360° to find the remaining sum

360° - (63 + 154)° = 360° - 217° = 143°

The 2 angles which sum to 143° are in the ratio 4 : 9

sum the parts of the ratio, 4 + 9 = 13 parts , then

143° ÷ 13 = 11° ← value of 1 part of the ratio, so

4 parts = 4 × 11° = 44°

9 parts = 9 × 11° = 99°

The other 2 angles are 44° and 99°

Answer:

yes

Step-by-step explanation:

because df is -2/3 and ac is -6/9 which is the same as -2/3

Answer:

238882 -> 238881

Step-by-step explanation:

To make it not divisable by 2, you have to change the rightmost digit.

Simply divide the number by 3, round it, then multiply it by 3 again.

Answer:

5,850 sq. ft

Step-by-step explanation:

Answer:

-1/5

Step-by-step explanation:

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

m=(-1-0)/(5-0)

m=-1/5

Answer:

y=x + 6

Step-by-step explanation:

G1=G2

so G2 =1

y-3 /x+3 =1/1

y-3 = x +3

y=x + 6

Answer:

  Practice -- lots of it

Step-by-step explanation:

I usually choose a solution method that I believe will find the desired answer for me in the least number of simple steps. What constitutes a "simple" step depends on a number of things:

__

I often choose a graphing calculator as my first approach to solving a quadratic. It easily shows the roots, and can show the vertex. (Sometimes, scaling the graph is required, so I actually prefer to use a touch-screen for the purpose. It is easier to "pinch" than to type in possible graph limits by trial and error.) The answer is generally provided to 3 or 4 significant figures, which is usually enough to tell if the solution is rational or irrational.

The easiest way to describe an integer (or rational) solution to someone else (on Brainly, for example) is usually to show the factoring of the quadratic. Finding the roots with a graphing calculator significantly aids the factoring process. (It is much easier to "find" the solution if you know the solution before you start looking.)

__

As we said at the beginning, the answer to your question is "practice." Many curricula try to offer opportunities to practice. I find most of these pretty annoying. What I suggest is that you find your own internal motivation to practice solving different kinds of quadratics in several different ways. That is, solve the same quadratic by ...

It might take you a couple of hours of work to learn the best way to solve an equation in under 5 minutes.

In this process, you will discover what you need to know to choose a method that works nicely for you. I believe you will find that total familiarity with arithmetic facts (sums, products, squares) and operations on all the different ways to represent numbers (integer, decimal, fraction, percent, scientific notation) will help you significantly.

_____

* Additional comment

Some "area" problems give you the difference of dimensions (length and width), and ask you to find the dimensions that give a specific area. This can be solved by (x)(x -d) = A. If you don't immediately recognize factors of A that differ by d, then you might have to resort to the quadratic formula to solve this.

Another approach is to let the variable represent the average dimension. Then the equation becomes (x -d/2)(x +d/2) = A, which is a "difference of squares" form that is much more easily solved. The solution for x is √(A +(d/2)²), and all you have to do is add and subtract d/2 from that solution to find the dimensions. This is an example of what I mean by transforming the problem.

Answer:

8 sides.

Step-by-step explanation:

The sum of each of the interior and exterior angles = 180 degrees.

Therefore as the ratio is 1:3 the exterior angles are all = 1/4 * 180

= 45 degrees.

So the number of sides = 360/45 = 8.  ( As the sum of the exterior angles in all polygons = 360 degrees).

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

2x + 3 = 4

subtract 3 from both sides to get x by itself on the left side:

2x = 1

divide both sides by 2:

x = [tex]\frac{1}{2}[/tex]

Using the tables to answer the question, the correct option is D.

Only table B represents a function

A relation/table will represent a function if each value of x is attached to a unique value of y.

That is, no value of x must be mapped to more than one value of y.

By considering the tables represented

Set A = {(-5, 2), (-8, 5), (-5, 8)}

As clearly shown above, when x = -5, y = 2 and 8. This means that there are more than 1 value of y for a single value of x, therefore, table A does not represent a function.

Set B = {(-5, 2), (-8, 5), (-11, 2)}

As shown above, all values of x have different values of y. Therefore, table B represents a function.

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Answer:

a = -Z/(M-b)

Step-by-step explanation:

Z = Ma-ba, solve for a Ma-ba

= Z

a(M-b) = Z

a = Z/(M-b)

Answer:

30 hours 48 minutes

Step-by-step explanation:

Using the relationship

average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{375}{15}[/tex] = 25 Km / hour

Then

time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{770}{25}[/tex] = 30.8 hours = 30 hours 48 minutes

Answer:

30.8 or 30 hours and 48 mins

Step-by-step explanation:

375 km > 15 Hours

Divide 375 and 15, equals to 25.

So, to proof that 375 is equals to 15 hours, divide 375 and 25 then you will get the answer 15. :)

Now, divide 770 and 25 to get the time taken to travel 770km.

And the answer is 30.8 hrs or... 30hrs and 48mins

Welcome ;)

Answer:

40

Step-by-step explanation:

so it is 3X3 +13 =40

Answer:

The 2 numbers are 14 and 17.

Step-by-step explanation:

Let the 2 numbers be x and y.

x + 11 = 2y

x - 2y = -11...............A

y +20 = 2x

2x - y = 20 ...............B

Multiply equation A by -2:

-2x + 4y = 22............C

Adding B and C :-

3y = 42

y = 14.

Substitute y = 14 in equation A:

x - 2(14) = -11

x = -11 + 28

x = 17.

Answer:

it's the point T.

Hope it helps

Answer:

12.3

Step-by-step explanation:

subtract(its me again)

Answer:

The equation is 2/25(x + 2)^2 + 5.

Step-by-step explanation:

WE can write the vertex form as

y = a(x - b)^2 + c     where a is some constant and (b, c) are the coordinates of the vertex.

So here we have:

y = a(x + 2)^2 + 5

As (3, 7) is a point oin the curve:

7 = a(3 + 2)^2 + 5

7 = 25a + 5

a = 2/25.

Based on the cost of the calculator, the discount, the shipping fee, and the tax, the total cost of the purchase was a. $80.07

The cost of the calculator was:

= Cost of calculator x ( 1  - discount)

= 83 x ( 1 - 15%)

= $70.55

The sales tax would be:

= 70.55 x 4.5%

= $3.17

The total cost would be:

= Cost + Sales tax + Shipping fee

= 70.55 + 3.17 + 6.35

= $80.07

In conclusion, the total is $80.07.

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Answer:

3:2

Step-by-step explanation:

Hope this helps and that you have a good day!