Does the series shown below converge or
diverge?
If convergent, find its sum.

Answer:

The actual dimensions of the kitchen are  12 feet by 14  feet

Step-by-step explanation:

The kitchen's real measurements are 12 feet by 14 feet.

Detailed explanation:

4 / 0.8 = 5, 7 / 1.4 = 5. The actual drawing ratio is a 5:1 ratio.

Consequently, 2.4 inches multiplied by 5 is 12 feet and 2.8 inches multiplied by 5 equals 14 feet.

12 ft. x 14 ft.

Find the scale of the drawing

\(\frac{0.8}{4} \frac{in}{ft.} = \frac{1.4}{7} = 0.2 \frac{in}{ft.}\)

To determine the precise dimensions subtract 0.2 from the measurements on the scale illustration to get 12 feet (2.4/0.2).

2.8/0.2 = 14 ft

Read more about Measurement on

https://brainly.com/question/1578168

Answer:

$2.95

Step-by-step explanation:

Step 1:

( $14.30 - $2.50 ) ÷ 4

Step 2:

$11.80 ÷ 4

Answer:

$2.95

Hope This Helps :)

fish tacos?

Step-by-step explanation:

4x-2.50=14.30

14.30-2.50=11.80

11.80/4= $2.95

each taco is 2.95

check your answer

$2.95*4= $11.80

11.80+2.50= 14.30

Answer:

r = 1

Step-by-step explanation:

6r - 1 + 6r = 11

Adding 6r and 6r (because they're like terms) gives us:

12r - 1 = 11

Adding 1 to both sides of the equation gives us:

12r - 1 + 1 = 11 + 1

12r = 12

Dividing both sides of the equation by 12 gives us:

12r/12 = 12/12

r = 1

Answer:

15:8

6:x

15×0.4=6

so, 8÷0.4=x=3.2 units

Answer:

1/3

Step-by-step explanation:

total is 1.

Left = 1 - 2/3

       = 1/3

Step-by-step explanation:

x = cost of 1 kg mushrooms

y = cost of 1 kg turnips

2x + 2.5y = 8.55

3x + 4y = 13.10

so, we have a system of 2 equations with 2 variables.

this can be solved either by

or by

this here looks (for me) better for elimination.

we bring the first equation to something with 6x, and the second one to something with -6x, abd then we add them.

so, we multiply the first equation by 3, and the second equation by -2 :

6x + 7.5y = 25.65

-6x - 8y = -26.20

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

0 -0.5y = -0.55

y = -0.55/-0.5 = £1.10

for x I suggest now to use the second original equation :

3x + 4y = 13.10

3x + 4×1.10 = 13.10

3x + 4.40 = 13.10

3x = 8.70

x = 8.70/3 = £2.90

a) 1 kg of turnips cost £2.90

b) 1 kg if mushrooms cost £1.10

Answer: the answer would be all real numbers

Step-by-step explanation:

I got it right on the test

Step-by-step explanation:

An adult ticket will be x.

Each adult ticket costs 15 dollars, so 15x

A child ticket will be y.

Each child ticket costs 3 dollars, so 3y

334 tickets were sold, totaling 3342 dollars.

15x + 3y = 3342 dollars in total.

Unknown number of adult tickets plus unknown number of child tickets equals to 334, so:

x number of adult tickets + y number of child tickets = 334 tickets in total.

x + y = 334

There are two equations in a system.

Use substitution:

x + y = 334

y = 334 - x

And plug it into other equation:

15x + 3(334 - x) = 3342

Solve for x since the question only asked for total number of adult tickets sold at theater (remember x is the number of adult tickets)

15x + (1002 - 3x) = 3342

15x + 1002 - 3x = 3342

Bring all x variables to one side and constants to other side:

15x - 3x = 3342 - 1002

12x = 2340

Divide both sides by 12:

x = 195

With that answer, we can conclude that 195 adult tickets were sold at the theater last night!

ANSWER: 195

Answer:

2.42666666666666666

Step-by-step explanation:

2.56+2.02+2.7 = 7.28

7.28/3 = 2.426666666

Answer:

45%

Step-by-step explanation:

15 x 3 = 45

Answer:

325 divided by 5= 65

Step-by-step explanation:

Answer:

325/5= 65mph

.........

Answer:

5000

Step-by-step explanation:

in order to find how many revolutions, you need to find the circumference of the circle which is  2pi r.

thus, you will get this working out:

circum= 2 times 22/7 times 14

= 88cm

4.4 km = 440000cm

Then, 440000cm divide 88 cm =5000.

Thus, 5000 revolutions.

Answer:

When the increase in demand is greater than the decrease in supply, the equilibrium price rises and the equilibrium quantity increases.

What is economic equilibrium?

Economic equilibrium, as used in economics, is a state in which forces such as supply and demand are in balance and where, in the absence of external influences, the values of economic variables will remain constant.

The equilibrium quantity rises if the rise in demand outweighs the fall in supply. The equilibrium quantity falls if the rise in demand is smaller than the fall in supply. Equilibrium price rises in each scenario.

The supply and demand curves move in opposition to one another. However, the supply curve shifted to the left while the demand curve shifted to the right (signalling a rise in demand) (indicating a decrease in supply).

In the case increase in demand > decrease in supply

In this instance, the supply curve's leftward movement is proportionally less than the rightward change of the demand curve. So, the price and the equilibrium quantity both increase.

Therefore, the equilibrium price and quantity increases.

To learn more about economic equilibrium from the given link

https://brainly.com/question/13984729

#SPJ4

The perfect square trinomial is 4x² - 4x + 1. The correct answer would be an option (A).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in option (A), as follows:

4x² - 4x + 1

(2x)² - 2 × 2x × 1 + 1²

Compare to the formula a² - 2 × a × b + b² = (a - b)², and we get

(2x - 1)²

Thus, this is a perfect square trinomial.

Hence, the correct answer would be an option (A).

Learn more about Expressions here:

brainly.com/question/13947055

#SPJ1

The Solution:

Given that the volume of the cylindrical tank is:

In this case,

Substituting these values in the above formula, we get

Therefore, the correct answer is approximately 9047.8 cubic feet.

The radius of the circle is r = 3.78 cm for the given circle.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the angle of the sector of the circle is 1.2 radians the area of the sector is 54 cm².

The radius of the circle will be calculated as:-

Area = Angle x πr²

54 = 1.2 x πr²

r² = ( 54 ) / ( 1.2 x π )

r² = 14.32

r = √14.32

r = 3.78 cm

Therefore, the radius of the circle is 3.78 cm.

To know more about an area follow

https://brainly.com/question/22972014

#SPJ1

Answer:

-10

Step-by-step explanation:

Answer:

-8+(-2)

-8-2

-10

1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.

Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.

The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.

For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.

Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.


Learn more about Affordably:

brainly.com/question/28273462

#SPJ11

Answer:

---> --->  

WS  DS

Step-by-step explanation:

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ4

Answer:

$18.48

Step-by-step explanation:

Find perimiter of room

4+4+7+7 =22

22•0.84 = 18.48

$18.48

Answer:

216 person

Step-by-step explanation:

100-60=40%

540×40/100=216 person

Answer:

1) x ≅ 51.34°

2) y ≅ 38.66°

Step-by-step explanation:

In the right triangle given in the figure

∵ The triangle has a right angle

∴ Angles x and y are acute angles and the sum of their measures is 90°

→ By using the trigonometry function tan

∵ tan(x) = opposite side to x/adjacent side to x

∵ The opposite side to x = 10

∵ The adjacent side to x = 8

→ Substitute them in the rule above

∴ tan(x) = \(\frac{10}{8}\) = \(\frac{5}{4}\)

→ Use the inverse of tan to find x

∵ x = \(tan^{-1}\)(\(\frac{5}{4}\))

∴ x = 51.34019175

∴ x ≅ 51.34°

∵ x + y = 90°

∴ 51.34 + y = 90

→ Subtract 51.34 from both sides

∴ y ≅ 38.66°

Answer:

D: 15.75

A: -14.84

C: x = 11

Step-by-step explanation:

Two negatives make a positive, do 7.2 + 8.55 and you will get 15.75. If it's easier, do -10.5 + -4.34 to get -14.84. For number three you have to distribute 1/2 to x and 1 to get 0.5x + 0.5 = -5. Subtract -0.5 on both sides to get 0.5x = 5.5. Divide 0.5 from both sides to get 11.

Answer: 4

Step-by-step explanation:

To find how many 3/4 are in 3, you can divide 3 by 3/4.

\(3*\frac{4}{3}\)              [divide by 3/4 is same as multiply by 4/3]

4

Now, we know there are 4 3/4's in 3.

Step-by-step explanation:

from midpoint formula p(x,y)= -2 +(-3)÷2 ,-8+(-12)÷2

=-5÷2 , -20÷2

= -2.5 , -10

Cable television is a form of television programming that is delivered to subscribers through a coaxial or fiber-optic cable network. It typically offers a wide range of channels and programming options, including news, sports, movies, and TV shows.

For the residents of Oak Vista, cable television is a mandatory service that is included in their monthly rent or housing fees. This means that all residents are required to pay $60 per month for the cable TV service, regardless of whether they use it or not. This is known as a bundled service, where a single fee is charged for multiple services or products.

The reason for the mandatory cable TV service is likely due to the fact that the apartment complex has a contract with a cable TV provider, and the cost of the service is spread across all residents. Additionally, offering a bundled service can be a way for the complex to offer a lower overall price for cable TV, since the cost is spread across a larger group of people.

While some residents may not want or need cable TV, the mandatory fee means that they must pay for the service regardless. However, some complexes may offer alternative options or allow residents to opt-out of the service for a reduced fee.

for such more question on television programming

https://brainly.com/question/15356519

#SPJ11

Answer:

-2=x

Step-by-step explanation:

-17=x-15

Add 15 on both sides

-2=x

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1