Evaluate the infinite geometric series $0.79 0.079 0.0079 0.00079 0.000079 \dotsb$. Express your answer as a fraction with integer numerator and denominator.

Answer:

2 + m

Step-by-step explanation:

Answer:

a=11

Step-by-step explanation:

set the formula up as

22+7a = 9a

22 = 9a - 7a

22 = 2a

22/2 = a

11 = a

Answer:

110°

Step-by-step explanation:

i dont think u need explanation so ill do it fast

27 2/10

   or

27 1/5

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

The value of x in 2(5x)=14 is 1 2/5.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

When converting a mixed fraction to an improper fraction, the denominator and the whole number are multiplied, the product is added to the numerator, and the sum is written as the numerator and denominator.

2(5x) = 14

10x = 14

x = 14/10

Simplify the fraction, by turning it into a mixed number.

x = 1 4/10

Simplify the equation by dividing it by 2, so that it is in simplest form.

x = 1 2/5

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The Correct change to make the Equation correct is Change (x+5) to (x−5).

The Correct option is (C).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

12(2x+6)+4(x+5)=5x−17

28x + 72= 5x-17

23x = 109

x= 4.73

First, change (2x+6) to 12(2x−6).

12 (2x - 6) + 4(x+5) = 5x- 17

24x - 72 +4x +20 = 5x- 17

28x -52 = 5x- 17

23x = 35

x= 1.52

Now, Change (x+5) to (x−5).

12 (2x + 6) + 4(x-5)  = 5x- 17

24x + 72 +4x -20  = 5x- 17

28x + 52  = 5x- 17

23x = 69

x=3

Hence, Change (x+ 5) to (x-5).

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Answer:

The missing side length is 12.

Step-by-step explanation:

Answer:

Slope=-3.333/2.000=-1.667

X-intercept= -13/5 = -2.60000

Y-intercept= -13/3 = 14.33333

Answer:

c = 25m + 40

Step-by-step explanation:

Step-by-step explanation:

if the question is to round 3.79 to the nearest tenth then here you go: *can't really grab you question, but....*

So, 3.79 to the nearest tenth would be 3.8

Why? How?

To round, you have to convert the farthest right value, which is 5 or higher, to one and add it to it's previous. So, 9 is higher than 5, could be 5, but can change to 1 and be added to it's previous 7 making 7 8, and that's how we get 3.8 (8 being the tenth of the decimal...hope I'm making sense. it's just the rules, how it works, and how I can explain it).

Hope you get it right and good luck :)

Answer:

x = 6

Step-by-step explanation:

The two triangles are similar so to find x we can use similarity ratio

x/18 = 8/24 cross multiply fractions

24x = 144 divide both sides by 24

x = 6

Answer:yes

Step-by-step explanation:

yes

Answer:

Starbursts = 12 dollars

M&M = 2 dollars

1. Make Startbursts and M&Ms into "x"

(a) 1x + 2x = 12

2. 3*1= 3

4+2x=12

(b) 4 packs

Answer:

6 months

Step-by-step explanation:

5cm +3x = 23 (goal)

-5              -5

3x=18

x=6 months

Answer:

plant b height will exceed the height of plant a after 16 days.

Step-by-step explanation:

Plant a: 5 cm tall and rate of change = 3 cm per month

Plant b: 4  cm tall and rate of change = 5 cm per month.

Now we have to form the linear equations.

Plant a:

y = 3x + 5, where y is the total height and "x" be the number of months.

Plant b:

y = 5x + 4 , where y is the total height and "x" be the number of months.

Now we have to when the height of the plant a and plant b are the same.

To do that, we have to equivate both the equations and find x.

3x + 5 = 5x + 4

Isolate the variables terms and constants.

5x - 3x = 5 - 4

2x = 1

Dividing both sides by 2, we get

x = 1 ÷ 2

x = 0.5 months.

So after 15 days, the height of the plant a and plant b are the same.

Therefore, plant b height will exceed the height of plant a after 16 days.

Answer:

option D

Step-by-step explanation:

Answer: D

Step-by-step explanation: my teacher said it was D.

The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total possible outcomes.

= 8 x 22

= 176

Now,

Probability of guessing the correct letter.

= [tex]^8C_1[/tex] / 176

Probability of guessing the correct section.

= [tex]^{22}C_1[/tex] / 176

The probability that you correctly guess the letter section and then guess the correct number section.

= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176

= 8 x 22 / 176 x 176

=  1 / 176

= 0 .005

= 0.01

Thus,

The probability that you correctly guess where your car is located is 0.01.

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Answer:

i would say A because you have more of the 4 than anything else

Step-by-step explanation:

Answer: 527.79 m²

Step-by-step explanation:

formula is A = 2πrh + 2πr²

A = 2π x 4 x 17 + 2π x 4²

A = 527.79 m²

Answer:

he paid 19 dollars

Step-by-step explanation:

first we subtract tax which is 2 dollars then we find 50%

Answer:

60 m times 10 m

Step-by-step explanation:

So your answer is the second one!

Answer:

60 m × 10 m

Step-by-step explanation:

A) 2(14+10)=2(24)=48

B) 2(70+70)=2(140)=280

C) 2(60+10)=2(70)=140

All of the coefficients of a zero polynomial's variables are equal to zero. In other words, it indicates that the powers of all the variables are equal to zero.

Zero polynomials are any polynomials that have all of their variables' coefficients set to zero.

Thus, a polynomial with a value of zero has no value.

A constant function or zero map is the function that defines it, and it is typically written as P(x) = 0, where x is the variable of the polynomial whose coefficient is 0.

A zero polynomial is a polynomial that has zero as its coefficient and an endless number of terms and variables of various powers.

Like this: 0x^2 + 0x + 0.

The graph of the zero polynomial is the x-axis, and the zero polynomial function is defined as y = P(x) = 0.

Real numbers are believed to be the domain, while 0 is the range.

The range is the set of values for the dependent variable y, whereas the domain is the set of values for the variable x for which the function is defined.

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The volume of the cone is 50π cubic units .

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

A cone has a circular base.

A cone has no edges, one face, and one vertex.

The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.

A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.

An oblique cone is one that doesn't have its apex precisely over the base's circle.

Radius of the cone = 5

Height of the cone is 6

Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.

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The 5 ways to solve problems are identifying the problem, generating different solutions, choosing one solution, implementing the chosen solution and evaluating the result.

A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.

There are 5 different steps to solving a problem

Step 1. Identify the Problem

Step 2. Generate potential solutions

Step 3. Choose one solution

Step 4. Implement the solution you’ve chosen

Step 5. Evaluate results

Sometimes it is required to start the process entirely over. To make the problem-solving process easier, it’s best to facilitate the solution as much as possible. Try to concentrate on the solution instead of the problem. Finally, be in the correct psyche to want to change. This contains having the right mindset language, both are positive and open-minded. With sufficient practice, any problem can be solved.

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The number of terms in the expansion of [tex](2x^3y^2)(2x^2y^3)[/tex] is 12.

When expanding the product of two polynomials, the number of terms in the expansion is equal to the product of the number of terms in each polynomial. In this case, the first polynomial has 1 term (2x^3y^2) and the second polynomial has 1 term (2x^2y^3), so the number of terms in the expansion will be 1*1=1.

A polynomial function is one in which the variable's non-negative integer powers or positive integer exponents are the only parts of the equation. Examples of polynomial functions include quadratic, cubic, and other equations. An example of a polynomial with an exponent of 1 is 2x+5.

However, the expression provided is not a polynomial, it is a number.

[tex]2x^3y^2 * 2x^2y^3 = 4x^5y^5[/tex]

It is just one term.

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Because two triangles are said to be congruent when all three of their corresponding sides and all three of their corresponding angles have the same measure, the right answer is SSS.

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found.

In the order below, beginning with triangles DAB and BCD, write the names of the vertices.

AB = CD

DA = BC

Since both triangles' BD sides are the same, BD = BD.

The SSS feature of a congruent triangle allows us to conclude that the triangles DAB and BCD are congruent since they share the same three sides.

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Answer:

p(r(-3)) = 114

Step-by-step explanation:

I assume you want help with just #4:

[tex]r(x)=5r+2\\r(-3)=5(-3)+2=-15+2=-13\\\\p(x)=x^2+4x-3\\p(r(-3))=p(-13)=(-13)^2+4(-13)-3=169-52-3=117-3=114[/tex]

Answer:

Step-by-step explanation:

Conversion a mixed number 2 1/

3

to a improper fraction: 2 1/3 = 2 1/

3

= 2 · 3 + 1/

3

= 6 + 1/

3

= 7/

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Conversion a mixed number 3 3/

4

to a improper fraction: 3 3/4 = 3 3/

4

= 3 · 4 + 3/

4

= 12 + 3/

4

= 15/

4

To find new numerator:

a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/

4

= 12/

4

b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15

c) Write a previous answer (new numerator 15) over the denominator 4.

Three and three quarters is fifteen quarters

Multiple: 7/

3

* 15/

4

= 7 · 15/

3 · 4

= 105/

12

= 35 · 3/

4 · 3

= 35/

4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(105, 12) = 3. In the next intermediate step, , cancel by a common factor of 3 gives 35/

4

.

In words - seven thirds multiplied by fifteen quarters = thirty-five quarters.

Compare: the result of step No. 3 vs 35/

4

= 35/

4

vs 35/

4

= 35 vs 35 = Yes

Answer:

Step-by-step explanation:

So if you do 2 * 1 you get 7

if you then do 12 * 69 you get 420

the answer is 8 3/4

The y-intercept of the quadratic function f(x) = (x - 8)(x + 3) is (0, -24).

The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function. The x-intercept and the y-intercept are what they are. A function's intercept is the location on the axis where the function's graph crosses it.

This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

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Answer: $49

Step-by-step explanation:

2.5% of 40 = 1, 9x1= 9, 40+9 = $49

Answer:

D.

Step-by-step explanation:

Answer: D is the correct answer

Step-by-step explanation:

I learned this last year and got a 100 on the subject