What is the sum of the infinite geometric series?

Answer:

(2, -1)

Step-by-step explanation:

The function f(x-4) represents a shift of f(x) 4 units to the right. Adding 4 to the x-coordinate of (-2, -1) puts it at (2, -1).

The answer is:

[tex]-2(2x+5)-3(x-1)=-7x-7\\[/tex]

To solve the problem, we need to perform the operations and then, add like terms.

We need to apply the distributive property, which is defined by the following way:

[tex]a(b+c)=ab+ac[/tex]

Also, we need to remember how to add like terms. Like terms are terms that share the same exponent and the same variable, for example:

[tex]3x+5x+x^{2}=8x+x^{2}[/tex]

We were able to add only the first two terms since they are like terms, both are sharing the same exponent and the same variable.

So, we are given the expression:

[tex]-2(2x+5)-3(x-1)[/tex]

Then, solving we have:

[tex]-2(2x+5)-3(x-1)=-4x-10-(3x-3)\\\\-4x-10-(3x-3)=-4x-10-3x+3\\\\-4x-10-3x+3=-4x-3x-10+3\\\\-4x-3x-10+3=-7x-7[/tex]

Hence, we have that the answer is:

[tex]-2(2x+5)-3(x-1)=-7x-7\\[/tex]

Have a nice day!

It is not possible to fill a smaller rectangular prism with larger 14-inch cubes.

However, there is a typo in the question because the cubes with an edge length of 14 inches cannot fit inside a rectangular prism of smaller dimensions.

Hence, it is impossible to fill the rectangular prism with cubes of 14-inch edge lengths.

The least amount would be 0.146 because the tenths digits is the smallest.

The least amount among the given different amounts is 0.146

Least amount of something means the smallest amount or number.

To find the least number or amount among the list of numbers we first go through the whole list of numbers and compare their values one after the other. And we arrange these numbers or amount in ascending order and find the least one.

According to the given question

We have different amounts

0.146, 2.0102, 0.45, 1.09, 2.001

For finding the least amount, arrange all the given amount in the ascending order.

So, the required ascending order is

0.146, 0.45, 1.09, 2.001, 2.0102

Hence, the least amount among the given different amounts is 0.146.

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Answer:

(z-6)(z+3)

Step-by-step explanation:

Answer:

The factored form of the given expression is (z-6)(z+3).

Step-by-step explanation:

The given expression is

[tex]z^2-3z-18[/tex]

The middle term can by written a -6z+3z.

[tex]z^2-6z+3z-18[/tex]

[tex]z(z-6)+3(z-6)[/tex]

[tex](z-6)(z+3)[/tex]

Therefore the factored form of the given expression is (z-6)(z+3).

The answer is:

Matt will need 120 quilt squares.

To solve the problem, we need to calculate the area of the wall and then, calculate how many quilt squares are needed.

We know that the wall measures 1 yard and 2 1/2 feet, also we know that the quilt squares measures 3 inches.

First, we need to conver the units:

So, converting we have that:

[tex]1yard=36inches[/tex]

Also,

[tex]1feet=12inches[/tex]

[tex]2.5*1feet=2.5*12inches[/tex]

[tex]2.5feet=30inches[/tex]

For the wall:

Calculating the area of the wall, we have:

[tex]Area_{rectangle}=base*height\\\\Area_{rectangle}=36inch*30inch=1080inch^{2}[/tex]

For the quilt squares:

Calculating the area of the quilt square, we have:

[tex]Area_{square}=side*side\\\\Area_{square}=3inch*3inch=9inch^{2}[/tex]

Therefore, to calculate how many quilt squares are needed, we need to use the following equation:

[tex]QuitSquaresNeeded=\frac{Area_{rectangle}}{Area_{square}}\\\\QuitSquaresNeeded=\frac{1080inch^{2}}{9inch^{2}}=120[/tex]

Hence, we have that Matt will need 120 quilt squares.

Have a nice day!

Answer:240

Step-by-step explanation:

i got this answer right on my school

the answer is b=3a+2 so B

The answer is B hope this helped!

D) Arc wx and arc yz is the correct answer because both arcs are equal to 27

Answer:

Option D is correct.

Step-by-step explanation:

Arcs are said to be equal if it subtends equal angles at the center

here we can see that  arcs WX and ZY subtends equal angle and its measure is 27 degrees.

therefore option D is correct answer

Since we are not given the angles subtended by WY and XZ in the center

so we cannot say for option A

Likewise we cannot say  for rest of the option.

Answer:

[tex]x=\frac{1+ \sqrt{47}i}{8}[/tex] and [tex]x=\frac{1 -\sqrt{47}i}{8}[/tex]

Step-by-step explanation:

Given quadratic equation is [tex]4x^2-x+3=0[/tex].

Compare with [tex]ax^2+bx+c=0[/tex], we get:

a=4, b=-1, c=3

Now plug these values into quadratic formula :

[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-\left(-1\right) \pm \sqrt{\left(-1\right)^2-4\left(4\right)\left(3\right)}}{2\left(4\right)}[/tex]

[tex]x=\frac{1 \pm \sqrt{1-48}}{8}[/tex]

[tex]x=\frac{1 \pm \sqrt{-47}}{8}[/tex]

[tex]x=\frac{1 \pm \sqrt{47}i}{8}[/tex]

Hence final answer is

[tex]x=\frac{1+ \sqrt{47}i}{8}[/tex] and [tex]x=\frac{1 -\sqrt{47}i}{8}[/tex]

Answer:

Solution of given quadratic equation,

x = [1 + 6.86i]/8 or x = [1 - 6.86i]/8

Step-by-step explanation:

Points to remember

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given a quadratic equation, 4x²-x+3=0

To find the solution using quadratic formula

Here a = 4, b = -1 and c = 3

We have,

x = [-b ± √(b² - 4ac)]/2a

x = [--1 ± √((-1)² - 4*4*3)]/2*4

 = [1 ± √(1 - 48)]/8

 = [1 ± √(-47)]/8

 = [1 ± 6.86i]/8

x = [1 + 6.86i]/8 or

x = [1 - 6.86i]/8

Answer:

t^2/3

Step-by-step explanation:

The ratio of dry rice to water is 1 to 2. This means that water is two times more than dry rice. Since the chef uses 9.5 cups of dry rice, the chef needs 19 cups of water.

You can check by using fractions. 9.5 / 19 in simplified form is 1/2, which is 1:2 in ratio.

It would be 9.5:19 just multiply 9.5 by 2

Answer:

74000

Step-by-step explanation:

1.      10^-4=10000

2.      10000*3.7=37000

3.      37000*2=74000

Answer:

[tex]h(x)=5^x[/tex]

Step-by-step explanation:

All the graphs are growing bigger and bigger as x-values grows bigger.

This implies that the graphs represent exponential growth.

Hence their equation is in the form;

[tex]y=a^x[/tex]

The bigger the value of 'a' the faster the graph grows

We can see that h, grew faster than all the other graphs, hence 'a' should be the largest value, which is 5.

Therefore the function is :

[tex]h(x)=5^x[/tex]

Answer:

Correct choice is function  [tex]h(x)=5^x[/tex]

Step-by-step explanation:

We have been given a graph of three functions f, g and h.

Now we need to find the best matching equation for the function h(x).

From graph we can see that all of the curves are increasing must faster as the move from left side to right side. That indicates they are exponential functions.

We know that if base is larger then graph will move upward much faster.

largest base from available bases is 5.

So the correct function is [tex]h(x)=5^x[/tex]

Answer:

x = √(13² - 12²) = √(169 - 144) = √25 = 5

Answer:69.38

Step-by-step explanation: Sue = 15.5 allie = 23.25 carol = 15.5+32.25 - 8.12 2.   15.5+32.25=38.75-8.12=  30.63 now all together 23.25+15.5+30.63= 69.38

The girls danced for a total of 30 minutes and 33 seconds.

First, we need to calculate the total time Sue and Allie danced combined:

Sue danced for 15.5 minutes, which can be written as [tex]\(\frac{155}{10}\)[/tex] minutes.

Allie danced for 23.25 minutes, which can be written as [tex]\(\frac{2325}{100}\)[/tex] minutes.

To combine these times, we need a common denominator, which is 100:

Sue's time in minutes: [tex]\(\frac{155 \times 10}{100} = \frac{1550}{100}\)[/tex]

Allie's time in minutes: [tex]\(\frac{2325}{100}\)[/tex]

Now we add Sue's and Allie's times:

[tex]\(\frac{1550}{100} + \frac{2325}{100} = \frac{3875}{100}\)[/tex]

Converting this back to mixed numbers:

[tex]\(\frac{3875}{100} = 38\)[/tex] minutes and [tex]\(\frac{75}{100}\)[/tex] minutes, which is 45 seconds.

Now, Carol danced for 8 minutes and 12 seconds less than the combined time of Sue and Allie. We need to subtract this time from the total time Sue and Allie danced:

[tex]\(38\)[/tex] minutes and [tex]\(45\)[/tex] seconds [tex]\(-\) \(8\)[/tex] minutes and [tex]\(12\)[/tex] seconds.

Subtracting the minutes:

[tex]\(38 - 8 = 30\)[/tex] minutes.

Subtracting the seconds:

[tex]\(45 - 12 = 33\)[/tex] seconds.

Therefore, Carol danced for 30 minutes and 33 seconds. Since Sue and Allie's combined time was 38 minutes and 45 seconds, and Carol danced for 8 minutes and 12 seconds less, the total time the girls danced altogether is:

[tex]\(38\)[/tex] minutes and [tex]\(45\)[/tex] seconds [tex]\(-\) \(8\)[/tex] minutes and [tex]\(12\)[/tex] seconds [tex]\(=\) \(30\)[/tex] minutes and [tex]\(33\)[/tex] seconds.

Thus, the girls danced for a total of 30 minutes and 33 seconds.

Answer:

226.2 feet

Step-by-step explanation:

The fence around the dog's house is a circle, with a radius of 12 meters.

To calculate the distance the dog runs, we need to find the circumference of that circle, which is given by the formula:

C = 2 π r, since we know r, the calculation is easy:

C = 2  π 12 = 24 π = 75.4 feet.

The dog makes three laps around the circle before calming down... so he runs 3 times 75.4 feet.

Dogs run = 3 x 75.4 ft = 226.2 feet

Answer:

45,000

Step-by-step explanation:

Apex is the source

Answer: the answer is $ 45,000 APEX

Answer:

I would say it's b because that makes the most sense tbh

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:9/5

Step-by-step explanation:

Hi there, hope this helps you. Have a great day! :)

Answer:

1 4/5

Step-by-step explanation:

1. Convert your mixed numbers to fractions. Your equation will become:

[tex]\frac{12}{1}[/tex] / [tex]\frac{2}{3}[/tex]

2. Apply the fractions formula for division.

[tex]\frac{12 x 3}{ 1 x 20}[/tex]

3. Solve the fraction formula for division.

You'll get [tex]\frac{36}{20}[/tex]

4. Simplify. Your final answer is [tex]1 \frac{4}{5}[/tex]

Answer:

1) = 0.175

2) = 0.244

3) = 0.168

Step-by-step explanation:

Experimental, not theoretical, so we use the results table.

1. P(3 n Tails) = 62/(53 + 65 + 49 + 71 + 54 + 62) = 0.175

2. P(Woman n Up) = 39/(36 + 43 + 39 + 42) = 0.244

3. P(Tuna n Wheat Bread) = 23/(22 + 24 + 21 + 22 + 25 + 23) = 0.168

Answer:

#4

Step-by-step explanation:

1) The y intercept is 0.

2) Convert to slope-intercept form:

2x + 3y = 12

3y = -2x + 12

y = -2/3 x + 4

So the y-intercept is 4.

3) Write in point-slope form:

y + 4 = 2 (x - 1)

Now convert to slope-intercept form:

y + 4 = 2x - 2

y = 2x - 6

So the y-intercept is -6.

4) The y-intercept is 5.

So of the four lines, #4 has the largest y-intercept.

Answer:

[tex]\boxed{\text{(4) The graph}}[/tex]

Step-by-step explanation:

The question is asking, which function has the greatest value when x = 0?

We must evaluate f(0) for each one.

(1) ƒ(x) = 3x

f(0) = 3 × 0 = 0

(2) 2x + 3y = 12

        Let x = 0.

2 × 0 + 3y = 12

     0 + 3y = 12

           3y = 12

            y = 4

(3) The line

The line has a slope of 2, and y= -4 when x = 1.

y increases by 2 when x increases by 1.

For the same reason, y decreases by 2 when x decreases by 1.

Thus, when x decreases from 1 to 0, y decreases from -4 to -6.

f(0) = -6.

(4) The graph

The graph has a y-intercept at y = 5, so,

f(0) = 5.

[tex]\boxed{\textbf{The graph}}[/tex] has the greatest y-intercept.

Answer:

a

Step-by-step explanation:

math

5/8, 8/12, and 3/4 are ordered from least to greatest.

Write all the fractions so that they have a common denominator in order to arrange them in ascending order. By comparing the numerators and sorting the fractions, determine which fraction is the smallest. Rewrite the numbers in the order of size that they appear in the question.

Given

5/8, 8/12, 3/4

Least common multiple of 8, 4, and 12 is 24

[tex]\frac{5*3}{8*3} , \frac{8*2}{12*2} ,\frac{3*6}{4*6} \\\\\frac{15}{24} , \frac{16}{24} .\frac{18}{24}[/tex]

therefore, 5/8, 8/12, and 3/4 are ordered from least to greatest

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Answer:

B. 0.22

Step-by-step explanation:

8/36 = 0.2222

B is the correct answer

To find the sale price of a sweater, convert the discount percentage to a decimal, multiply by the original price to get the discount amount, and subtract this from the original price.  So correct answer is B.

The correct steps needed to find the sale price of the sweater that Joy is planning to purchase are as follows:

Convert the percent discount to its decimal equivalent.

Multiply the decimal by the original amount to find the discount amount.

Subtract the discount amount from the original amount to determine the sale price.

Answer:

They will each have painted 8 km. This goal will be met on Day 4.

Step-by-step explanation:

Group A | Group B

Start: 2   | Start: 5                               Day 1

2 + 2 = 4 | 5 + 1 = 6                            Day 2

4 + 2 = 6 | 6 + 1 = 7                             Day 3

6 + 2 = 8 | 7 + 1 = 8                            Day 4

The first group and second group of workers will each have painted 8 kilometers of the bridge after 3 days.

This question is related to the concept of linear equation in one variable. To solve such a problem, we typically set up an equation that relates the two groups and the amount they have painted to find out when they have painted an equal amount.

The equation representing the painting work of the first group is: 2 + 2d = x, where d is the number of days and x is the total distance painted. For the second group, the equation is 5 + d = x. We can set up these equations because each new day adds certain kilometers to the existing painted distance.

To find when these two equations are equal, we can simply equate them: 2 + 2d = 5 + d. Solving this equation, we get d = 3 days. Substituting d = 3 into either of the group's equations, we get x = 8 kilometers.

So, after 3 days, both groups would have painted 8 kilometers each.

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Answer: There would be 190 catfish in all 200 samples in the population.

Step-by-step explanation:

Since we have given that

Number of fish = 6

Mean number of catfish = 5.7

If the number of fish = 200

So, we need to find the proportion to find the number of catfish in the population.

Let the number of catfish in the population be 'x'.

According to question, it becomes,

[tex]\dfrac{6}{5.7}=\dfrac{200}{x}\\\\6x=5.7\times 200\\\\6x=1140\\\\x=\dfrac{1140}{6}\\\\x=190[/tex]

Hence, there would be 190 catfish in all 200 samples in the population.

Answer:

A

Step-by-step explanation:

edge 2021

The answer to this question is going to be 88.53 because you shift it horizontally

Answer:

it's 160 or 160. 56

Step-by-step explanation:

since you want the height horizontally from the starting height, and that height was 5.4 metres,

-.06x^2 + 9.6x + 5.4 = 5.4

the 5.4 drops out, so

x(-.06x + 9.6) = 0

x = 0 , the starting time

or

x = 9.6/.06 = 160

it will land after 160 m

Answer:

2. A. H-red, H-blue, H-green, H-yellow, T-yellow, T-green, T-blue, T-red

3. 18

Step-by-step explanation:

2. Flipping a coin and spinning a 4-color spinner.

There are two possible outcomes for the coin: heads or tails (H or T).

There are still 4 possibilities for the spinner: red, blue, green and yellow

Since both are independent, you multiply the possible outcomes of each event, so 2 * 4 = 8 possible outcomes.

To list them all, take each possible outcome on one item (coin or spinner), and match it with all the possible outcomes of the other item.

So answer is  A. H-red, H-blue, H-green, H-yellow, T-yellow, T-green, T-blue, T-red

3. Lunch combinations

You have 2 sandwiches, 3 sides and 3 beverages. How many different lunches can you make picking one of each?

As in the problem above, these possible outcomes are independent (choosing one specific sandwich has no impact on the side or the beverage).

So, to count all the possible outcomes, you just have to multiply the possible outcomes of each item, so

L = 2 sandwiches x 3 sides x 3 beverages = 18 possible lunches

Answer:

ok thanks :)

Step-by-step explanation:

Answer:

Sounds epic

Step-by-step explanation:

Answer:

The probability that the point will be in the part that is NOT shaded is about 20% ⇒ 4th answer

Step-by-step explanation:

* Lets look to the figure

- There are four circles inscribed in  a square

- The four circles touched each other and touched the four

  sides of the square

∴ The side of the square = twice the diameter of a circle

- If the side of the square is l and the diameter of the circle is d

∴ l = 2d ⇒ divide the two sides by 2

∴ d = (1/2) l

∵ The radius of the circle = (1/2) the diameter

∴ r = (1/2) d

∵ d = (1/2) l

∴ r = (1/2)(1/2) l = (1/4) l

* Now lets find the area that NOT shaded

∵ The area of the square = side × side

∴ The area of the square = l × l = l²

∵ The area of the circle = πr²

∵ r = (1/4) l

∴ r² = [(1/4) l]² = (1/4)² × l² = (1/16) l²

∴ The area of one circle = (1/16)πl²

- The shaded part is the four circles

∴ The shaded area = 4 × (1/16)πl² = (1/4)πl²

- The part is not shaded = Area of the square - Area of the shaded part

∴ The area of not shaded = l² - (1/4)πl² ⇒ take l² as a common factor

∴ The area of not shaded = l²(1 -1/4 π)

- The probability that the point will be in the part that not shaded is

  area of the part not shaded/area of the square

∴ P = l²(1 - 1/4 π)/l² ⇒ cancel l² from up and down

∴ P = (1 - 1/4 π )/1 = 0.2146 ≅ 0.2

- Chang it to percent number

∴ P = 0.2 × 100% = 20%

* The probability that the point will be in the part that is NOT shaded

  is about 20%

∴ r = (1/2) d

∴