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what is the common ratio of the sequence? -2, 6, -18, 54,..

-3
-2
3
8​

Answers

Answer 1
The common ratio (R) is -3.

-2 times -3 is 6.
6 times -3 is -18.
-18 times -3 is 54.

R=-3.
This is a geometric sequence.
Answer 2

Answer:

-3 (the first option)

Step-by-step explanation:

Edge 2020


Related Questions

What is 66×94÷996-9 Please answer quicly

Answers

Answer:

I am pretty sure it's −2.7710843373

Answer:

-2.771

Step-by-step explanation:

66*94 = 6,204 / 996=6.228-9 = -2.771

Write the equations described below.
a. an addition equation with one variable that has a
solution of 3 = ______
b. a subtraction equation with one variable that has a
solution of = ______ ||Please help!! ;v;”

Answers

Answer:

I know only number a

Step-by-step explanation:

For number a

x+2=3

Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. If a kitten weighed 100 grams at birth and gained 8 grams per day, in how many days will the kitten triple its weight?

Answers

It would take the kitten 25 days after its birth to triple its weight.

Solution:

kitten weighed 100 grams at birth

And gained 8 grams per day

kitten needed to triple its weigh

Which means, they have to become 3 x 100 = 300 grams

Let "x" be the number of days needed to be 300 grams

Then we can say,

300 grams = 100 grams at birth + 8 grams( number of days)

[tex]300 = 100 + 8x\\\\8x = 300-100\\\\8x = 200\\\\Divide\ both\ sides\ by\ 8\\\\x = 25[/tex]

Thus it would take the kitten 25 days after its birth to triple its weight.

Reflect order pair (-2, 5) over y=-x

Answers

When reflecting over y = -x

The x and y values change places and the signs change.

(-2,5) becomes (-5,2)

Answer:

(-5,2)

Step-by-step explanation:

hope this helps

If 15 + 3x = 3 (2−2x), then x = −−−−−

Answers

Answer:

x= -1

Step-by-step explanation:

ditribute 3 to the (2-2x), 15+3x=6-6x

add 6x to both sides 15+9x=6

subtract 15 from both sides 9x=-9

divide 9 on both sides x= -1

-4/4+160%+1/5 as an exact decimal

Answers

Answer:

0.8

Step-by-step explanation:

-4/4=-1

160%=1.6

1/5=0.2

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

-1+1.6+0.2

0.6+0.2

0.8

Please answer this.

Answers

Answer:

h = 2A/b

l = (P/2) - w

Step-by-step explanation:

for equation A

Multiply both sides with 2

Then divide both sides with b which leaves h on one side

for equation P

Divide by 2 on both sides

Then subtract w from both sides which leaves l on one side

I need help with this question

Answers

Answer:

You should disagree with the student's claim.

The number of revolutions during a five-mile ride is 323.4

ak = v+w solve for a

Answers

Answer:

a = [tex]\frac{v+w}{k}[/tex]

Step-by-step explanation:

Given

ak = v + w ( isolate a by dividing both sides by k )

a = [tex]\frac{v+w}{k}[/tex]

Laura created a website to create T-shirts. In the first month she put up her website she had only a single T-shirt order. Each month she got more orders. Following this function f(n)=2n-1
How many total orders did she receive over the first year?

Answers

Laura received 144 orders over the first year

Solution:

Given function is:

f(n) = 2n - 1

Where, "n" is the month

In the first month she put up her website she had only a single T-shirt order

f(1) = 2(1) - 1 = 2 - 1

f(1) = 1

There are 12 months in a year

For the second month, and third month and so on, substitute n = 2, 3 and so on

f(2) = 2(2) - 1 = 4 - 1 = 3

f(3) = 2(3) - 1 = 6 - 1 = 5

f(4) = 2(4) - 1 = 8 - 1 = 7

f(5) = 2(5) - 1 = 10 - 1 = 9

f(6) = 2(6) - 1 = 12 - 1 = 11

f(7) = 2(7) - 1 = 14 - 1 = 13

f(8) = 2(8) - 1 = 16 - 1 = 15

f(9) = 2(9) - 1 = 18 - 1 = 17

f(10) = 2(10) - 1 = 20 - 1 = 19

f(11) = 2(11) - 1 = 22 - 1 = 21

f(12) = 2(12) - 1 = 24 - 1 = 23

Thus total orders received over first year:

Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Total orders = 144

Thus she received 144 orders over the first year

Three pizzas and four sandwiches cost $34 three pizzas and seven sandwiches cost $41.50 write a system of equation to find the cost of one pizza

Answers

Answer:

The cost of one pizza is $8

Step-by-step explanation:

From the question;

3 pizzas + 4 sandwiches = $343 pizzas + 7 sandwiches = $41.50

We are required to determine the cost of  one Pizza

Assuming the cost of one pizza is x and the cost of one sandwich is y

Then we get the equations;

3x + 4y = $34

3x + 7y = $41.50

We can solve the equations simultaneously;

Subtracting the two equations;

3x + 4y = $34

3x + 7y = $41.50

...........................................

       -3y = -$7.5

           y = $2.5

To get x;  

      3x = $34 - 4($2.5)

       3x = $24

        x = $8

Therefore, the cost of one pizza is $8

What is the circumference of a tire with a radius of 22 centimeters

Answers

Answer:

Step-by-step explanation:

circumference= 2πr

                        = 2*[tex]\frac{22}{7}[/tex]*22

                        = 44*[tex]\frac{22}{7}[/tex]

                       = 968/7

                        = 138.28 cm

Answer:

Circumference of the Tire is  [tex]138.16cm[/tex]

Step-by-step explanation:

Circumference of any figure is the total length of its boundaries.

Considering the tire as a circle.

Given:

         radius of the tire= [tex]22cm[/tex]

    circumference of a circle = [tex]2\pi r[/tex]

                                         [tex]=2*\pi *22\\\\=44*\pi\\\\ =44(3.14)\\\\=138.16cm[/tex]

So, the circumference of the Tire is  [tex]138.16cm[/tex]

janice is asked to solve0=64x^2+16x-3 what is x

Answers

Answer:

x=-1/8 or 3/8

Step-by-step explanation:

64x^2+16x-3=0

By Mid term breaking

64x^2-24x+8x-3=0

8x(8x-3)+1(8x-3)=0

(8x+1)(8x-3)=0

Either

8x+1=0 OR 8x-3=0

8x=-1 OR 8x=3

x=-1/8 OR x=3/8

A student is saving money to buy a video game. The student currently has $20 and plans to save $10 every month. Write a function that represents the amount y
(in dollars) of money that the student saves after x
months.

Answers

the answer would be y=20+10x
The answer is: y=20+10x

A school football team is selling raffle tickets As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit how much money do they need to raise to cover the cost of the printing and meet their goals

Answers

Answer:

They need $2655 to raise to cover the costs of the printing and meet their goal.

Step-by-step explanation:

Consider the provided information.

As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit

Let x (in dollar) represents the fund raised.

The money spent on printing ticket is $155.

The profit they would like to make at least is $2500.

Therefore, the required inequality is:

[tex]x-155\geq 2500[/tex]

Simplify the inequality.

[tex]x\geq 2500+155\\x\geq 2655[/tex]

Therefore, they need $2655 to raise to cover the costs of the printing and meet their goal.

Arrange the equations in increasing order of the value of their solutions.

Answers

See the explanation

Explanation:

The complete question is attached below. In order to solve this problem, we'll use a graphing tool. First of all, we'll say that the LHS is a linear function and the RHS is another linear function, so for each case, we'll have:

[tex]f(x)=g(x)[/tex]

For each graph, [tex]f(x)[/tex] will be drawn in red while [tex]g(x)[/tex] will be drawn in blue.

Case 1:

[tex]f(x)=\frac{1}{4}x+\frac{5}{2}x-2 \\ \\ g(x)=4-\frac{1}{4}x[/tex]

So by equating both equations:

[tex]\frac{1}{4}x+\frac{5}{2}x-2=4-\frac{1}{4}x[/tex]

By using graphing tool we get a point of intersection at which the x-value is the solution to our equation. So:

Solution:

[tex]\boxed{x=2}[/tex]

See First Figure below.

Case 2:

[tex]f(x)=7.9x+x+4 \\ \\ g(x)=-1.1x-16[/tex]

Applying a similar method as in case 1.

Solution:

[tex]\boxed{x=-5.8}[/tex]

See Second Figure below.

Case 3:

[tex]f(x)=3.2x+5.7 \\ \\ g(x)=-2.5x[/tex]

Applying a similar method as in case 1.

Solution:

[tex]\boxed{x=-1}[/tex]

See Third Figure below.

Case 4:

[tex]f(x)=10.1x-1.6x+44 \\ \\ g(x)=-7[/tex]

Applying a similar method as in case 1.

Solution:

[tex]\boxed{x=-6}[/tex]

See Fourth Figure below.

Learn more:

Methods for solving system of equations: https://brainly.com/question/10185505

#LearnWithBrainly

Answer:

Answer: 1. 10.1x - 1.6x + 44 = -7

             2. 7.9x + x + 4 = 1.1x - 16

           3.  3.2x + 5.7 = -2.5x

           4. 1/4x + 5/2x - 2 = 4 -1/4x

in order

Step-by-step explanation:

mark as brainliest plz!!!        hope this helps!

Maya downloaded some math and science apps from Google Play. The number of math apps is 25% of the number of science apps. What percent are the math apps to the total number of apps?

Answers

20 % are the math apps in total number of apps

Solution:

Maya downloaded some math and science apps from Google Play

The number of math apps is 25% of the number of science apps

Let "x" be the number of science apps

Then, we get,

Number of math apps = 25 % of number of science apps

Number of math apps = 25 % of x

[tex]\text{Number of math apps } = \frac{25}{100} \times x[/tex]

Number of math apps = 0.25x

What percent are the math apps to the total number of apps?

Total number of apps = x + 0.25x = 1.25x

Math apps = 0.25x

We have to find the percent of math apps in total number of apps

[tex]\text{ percent of math apps} = \frac{\text{Math app}}{\text{total number of apps}} \times 100[/tex]

[tex]\text{ percent of math apps} = \frac{0.25x}{1.25x} \times 100\\\\\text{ percent of math apps} = 0.2 \times 100\\\\\text{ percent of math apps} = 20[/tex]

Thus 20 % are the math apps in total number of apps

75% right?

I think so..

solve each equation
-5(x-3=14

Answers

-5(x-3)=14
-5x+15=14
-5x=14-15
-5x=-1
x=-1/-5
x=1/5

Check:
-5(1/5-3)=14
-5(1/5-15/5)=14
-5*-14/5=14
14=14 ✔️

Answer:

x = 1/5

Step-by-step explanation:

To solve, simplify the equation, then isolate "x". Start with the distributive property, where you multiply the number outside the brackets with each number inside the bracket. Isolate "x" by bringing all the other numbers to the right side on the equal sign. When moving a number, do its reverse operation to the whole equation.

-5(x-3) = 14           Distribute. Multiply -5 by "x", subtract -5 times 3.

(-5)x - (-5)3 = 14           Multiply -5 and 3

(-5)x - (-15) = 14           Two negatives make a positive

(-5)x + 15 = 14           Remove brackets around -5

-5x + 15 = 14           Start isolating

-5x + 15 - 15 = 14  - 15          Subtract 15 from both sides

-5x = -1          Left side: 15 cancelled out.  Right side: 14-15 = -1

-5x/-5 = -1/-5          Divide both sides by -5.

x = 1/5         Solved for "x"

Check your answer by substituting "x" with the answer you found:

-5(x - 3) = 14  

-5(([tex]\frac{1}{5}[/tex]) - 3) = 14          Change "x" to 1/5.

-5(([tex]\frac{1}{5}[/tex]) - [tex](\frac{5}{5})(\frac{3}{1})[/tex]) = 14           Make 5 the common denominator

-5([tex]\frac{1}{5}[/tex] - [tex]\frac{15}{5}[/tex]) = 14          Multiply the fractions across

-5([tex]\frac{1-15}{5}[/tex]) = 14        Combined the fractions on top of the same denominator

-5([tex]-\frac{14}{5}[/tex]) = 14          Simplify numerator

[tex]\frac{-5*-14}{5}[/tex] = 14          Multiply by combining into the numerator

[tex]\frac{70}{5}[/tex] = 14          Divide the top by the bottom of the fraction

14 = 14             Same answer on both sides

LS = RS          Left side equals right side

Therefore the answer is correct.

Which expressions are equivalent to 2^5•2^4? Check all that apply.

Answers

Option A: [tex]2^9[/tex]

Option E: [tex]2^{-2}.2^{11}[/tex]

Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]

Solution:

Given expression is [tex]2^5.2^4[/tex].

To find which expression is equivalent to the given expression.

Option A: [tex]2^9[/tex]

Using exponent rule: [tex]a^b.a^c=a^{(b+c)}[/tex]

[tex]2^5.2^4=2^{(5+4)}=2^9[/tex]

Therefore [tex]2^9[/tex] is equivalent to the given expression.

Option B: [tex]2^{20}[/tex]

It is not equivalent to the given expression.

Option C: [tex]2.2^9[/tex]

[tex]2.2^9=2^{(1+9)}=2^{10}[/tex]

Therefore, It is not equivalent to the given expression.

Option D: [tex]2^{10}.2^2[/tex]

[tex]2^{10}.2^2=2^{(10+2)}=2^{12}[/tex]

Therefore, It is not equivalent to the given expression.

Option E: [tex]2^{-2}.2^{11}[/tex]

[tex]2^{-2}.2^{11}=2^{(2-11)}=2^9[/tex]

Therefore, It is equivalent to the given expression.

Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]

[tex](2.2.2.2.2)(2.2.2.2)=2^5.2^4[/tex]

Therefore, It is equivalent to the given expression.

Hence option A, Option E and Option E are equivalent to the given expression.

Answer:

AEF

Step-by-step explanation:

Write 4/100000 as a decimal

Answers

Answer:0.000004

or 4.0E-5

Step-by-step explanation:

Jolie uses the childcare facilities at her gym. Her monthly dues are $32, and childcare is $9 per visit. This month, she does not
wish to spend more than $122 for both dues and childcare. If x represents the number of times she can use childcare services,
which of the following inequalities symbolizes this situation?
A.
$32x+ $9 > $122
B. $32x + $9 < $122
C. $9x + $32> $122
D. $9x + $32 < $122

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. $9x + $32 < $122

Step-by-step explanation:

given :

x is the number of visits

$9 is the cost per visit

$32 is the monthly dues

the amount she pays each month

= monthly dues + (cost per visit x number of visits)

= 32+ 9x  (rearrange)

= 9x + 32

given that she does not wish to spend more than $122, that means she wants to spend LESS than $122, i.e

amount spent < $122

or

9x + 32 < 122   (answer D)

A 6 inch personal pizza has 600 calories with 240 from fat. A 14 inch pizza is cut into slices. Estimate the number of calories in one slice

Answers

Answer:

175 calories.

Step-by-step explanation:

There are 600 calories with 240 from fat in a 6 inch personal pizza.

If we consider the number of calories in each inch of pizza to be constant.

Then, a 14 inch pizza will have [tex]\frac{600}{6} \times 14 = 1400[/tex] calories.

Now, a standard 14 inch pizza has 8 slices and if the 14 inch pizza is cut into 8 slices then in each slice there will be [tex]\frac{1400}{8} = 175[/tex] calories. (Answer)

Final answer:

The estimated number of calories in one slice of a 14-inch pizza, assuming it is cut into 8 slices, is 408 calories.

Explanation:

In this problem, we need to work with the concept of Ratios and Proportions in order to estimate the amount of calories in one slice of a 14-inch pizza. Firstly, we may want to calculate how many 6-inch pizzas fit into a 14-inch pizza. To do this we can use the formula for the area of a circle (πr²) where the r represents the radius.

For the 6-inch pizza, the radius is 3 inches, and for the 14-inch pizza, the radius is 7 inches. Therefore, according to the formula, we have:

Area of 6-inch pizza: π * 3² = 9π

Area of 14-inch pizza: π * 7² = 49π

By dividing the area of the 14-inch pizza by the area of the 6-inch pizza, we find that around 5.44 of 6-inch pizzas fit into the 14-inch pizza:

49π/9π = 5.44

So, the 14-inch pizza has roughly 5.44 times more calories than the 6-inch pizza, meaning it would have 600 calories * 5.44 = 3264 calories.

If you split the pizza into 8 slices, each slice of pizza would therefore have 3264 calories / 8 slices = 408 calories.

Learn more about Ratios and Proportions here:

https://brainly.com/question/31776433

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Solve the problem.

The formula P = 0.62x2 - 0.043x + 3 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 42,336 fish?

Answers

Answer:

The population reaches 42,336 fish in 2258

Step-by-step explanation:

Given:

[tex]P = 0.62x^2 - 0.043x + 3[/tex]

To Find:

Time taken  to reach 42,336 = ?

Solution:

According to the question  x is the number of years after which the population .

Then

[tex]42336 = 0.62x^2 - 0.043x + 3[/tex]

[tex]0 = 0.62x^2 - 0.043x + 3- 42333[/tex]

[tex]0.62x^2 - 0.043x -42333[/tex] = 0

Solving using quadratic formula

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

[tex]x =\frac{ -(-0.043)\pm \sqrt{(-0.043) -4(0.62)(42333)}}{2(42333)}[/tex]

[tex]x =\frac{ -(-0.043)\pm \sqrt{(0.001849) -0.10664}}{84666}[/tex]

x=261.337                    x=−261.268

Neglecting the   negative value we get

x = 261.337

x =  261 approx

261 years after  1997  =  2258

Final answer:

To find the year when the population reaches 42,336 fish, solve the quadratic equation P = 42.336 by factoring, completing the square, or the quadratic formula.

Explanation:

To find the year when the population reaches 42,336 fish, we need to solve the equation P = 42.336.

First, rewrite the equation as a quadratic equation: 0.62x^2 - 0.043x + 3 = 42.336.

Then, solve the quadratic equation using factoring, completing the square, or the quadratic formula. The solution will give you the value of x, which represents the number of years since 1997. Add this value to 1997 to find the year when the population will reach 42,336 fish.

Learn more about Solving a quadratic equation here:

https://brainly.com/question/33455297

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Which choice shows a correct way to find 6 × 3 × 5?



A. 6 × (3 × 5)


B. 6 + 5 × 3


C. 6 × (3 + 5)


D. 6 × (5 – 3)


Answers

Answer:

C

Step-by-step explanation:

6x(3x5)

hope this helped!

Find the value of 21 + 4(32 - 5).
a. 37
b. 25
c. 100

Answers

Answer:

The right answer is A. 37

Step-by-step explanation:

Let's find the value of:

21 + 4(3² - 5)

21 + 4 * (9 - 5)

21 + 4 * (4)

21 + 16 = 37

The right answer is A. 37

How do you change 2/5 to a precent

Answers

Answer:

40%

Step-by-step explanation:

Percent is how much out of 100.

We have 2/5, so find equivalent fractions:

2/5 = 4/10 = 40/100

2/5 = 40%

The carnival fundraiser at Central High School raised $400 on Thursday. On Friday, 280% of that amount was raised. How much money did the carnival raise on Friday? Which statements are correct? Check all that apply. The answer will be less than $400 because 100 is less than 280. The answer will be greater than $400 because 280 is greater than 100. (100)(4) = 400, so (280)(4) = the amount of money the carnival raised on Friday. 400 + 280 = the amount of money the carnival raised on Friday. The carnival raised $680 on Friday. The carnival raised $1,120 on Friday.

Answers

Multiply the amount raised by 280%

Rewrite 280% as a decimal by moving the decimal point 2 places to the left

280%. = 2.80

400 x 2.80 = $1120.00

Answers are:

The answer will be greater than $400 because 280 is greater than 100.

(100)(4) = 400, so (280)(4) = the amount of money the carnival raised on Friday.

The carnival raised $1,120 on Friday.

Answer:

B,C,F

Step-by-step explanation:

YOU WELCOMEEEEEEEEEEEEEEE :)

Raj and Dev leave the school at 3:30 PM and cycle in opposite direction. If their speeds are 5km/hr and 7km/hr respectively, at what time they will be 18 km apart?

Answers

They will be 18 km apart at 5 pm.

Step-by-step explanation:

Speed of Raj is 5km/hr and speed of Dev is 7km/hr

Since they are going in opposite direction,

So, every 1 hours there difference will be (7 + 5) km = 12 km

Now, they will be apart 18 km distance 18/12 hours = 1 hour 30 min

The time will be 3:30 PM + 1 hour 30 min = 5 :00 PM

Ms. Willis drives to a conference in 5 hours.Due to bad weather on the return in trip home, she drives the same route in 8 hours at an average speed that is 24 miles per hour slower than her trip to the conference

Answers

Answer:

Distance = 192 km

Step-by-step explanation:

To calculate the distance, the distance is given by the formula:

s = vt

where s = distance

          v = average speed

          t = time taken to travel

therefore, the distance is given as

s = 24miles/hour× 8 hours

  = 192 miles.

The total distance is 192 miles.

To calculate the average speed on the first trip to the conference, divide the distance by the time like this:

s = vt

v = s/t

  = 192 miles/ 5 hours

  = 38.4 miles per hour

As you can see, the driver drove faster than she did when she was driving in bad weather.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.

Answers

Answer:

c ≥ 56   is the REQUIRED INEQUALITY.

Step-by-step explanation:

Here, the given  question is INCOMPLETE.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

Now, here:

The number of cans Xander needed to collect = At least 120

The number of items already collected =  64

c: the number of cans, c, that Xander must still collect.

Now, the number of cans to be collected  - Cans already collected  

=  120 - 64  = 56

So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans  =  56 cans

⇒ The number of cans to be collected ≥ 56 cans

⇒c ≥ 56 cans

or, c ≥ 56   is the REQUIRED INEQUALITY.

Answer:

c ≥ 56 is the REQUIRED INEQUALITY.

Step-by-step explanation:

Other Questions
Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual length of the boat if the actual width is 15 feet? At the beginning of the Inferno the pilgrim hesitates before entering the underworld. He does so not out of fear, but out of a sense of unworthiness: he is about to follow in the steps of _________ whose story was told by Virgil. -WILL GIVE BRAINLY- Write an equivalent expression using the distributive property. a. 12x + 10 b. x + 8 carol buys a house for 234900she pays a 10% deposit10% of 234900 Garrin is a 7-year-old boy with cystic fibrosis. The disease is caused by a genetic defect on chromosome 7. As a result, there is a defective production of protein chloride channels in epithelial cell membranes. One effect of the disease is the production of thick mucous that accumulates in Garrins bronchial passages. As a result, he attends a physiotherapy clinic regularly for chest percussion treatments to loosen the respiratory mucous. The specific heat capacity of lead is 0.13 J/g-C. How much heat (in J) is required to raise the temperature of of 91 g of lead from 22C to 37C? The cost for a cell phone service is $75 per month plus $0.17 per minute. Which expression shows the monthly cost for the phone if x represents the number of minutes? Why is the mixing of fresh water and salt water in the bay important? I have to round 312016.29 to the nearest whole number what would I do?? Which word refers to the smallest functional unit of a living thing?celleyelashorgantissue N2+3H2-2NH3calculate the number of grams of NH3 are formed when 3.0 mole of N2 is reacted with 6.7 moles of H2 On Monday, Lou drives his ford escort with 28-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his car to 32-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lous tires make per second?(A) Decrease by 14.3%(B) Decrease by 12.5%(C) Increase by 14.3%(D) Increase by 12.5%(E) Cannot be determined with the given information. New York City is the most expensive city in the United States for lodging. The room rate is $204 per night (USA Today, April 30, 2012). Assume that room ratesa mally distributed with a standard deviation of $55. a. What is the probability that a hotel room costs $225 or more per night? b. What is the probability that a hotel room costs less than $140 per night? c. What is the probability that a hotel room costs between $200 and $300 per night? d. What is the cost of the most expensive 20% of hotel rooms in New York City? Christian spends a significant amount of his time at work performing tasks such as distributing work among his subordinates and arranging their shifts and tasks to be performed.This relates most closely to which managerial function? Galen sold tickets of his churchs carnival for a total of $2,820. Childrens tickets cost $3 each and adult tickets cost $5 each. The number of childrens tickets sold was 30 more than 3 times the number of adult tickets slod. How many childrens ticket and how many adult tickets did he sell? 75 mL of water is added to a 360 mL solution of acetic acid with a concentration of 0.87 M. Determine the molarity of the new solution. Please solve the following system of equations bysubstitution.y = 3x - 4 and 4x + 3y = 1 A car that initially cost 42,000 depreciates in value by approximately 2,000 dollars per year write an equation to represent the value in dollars, Y, of a car X years after it was purchased What is the difference between communicable and noncommunicable diseases?Communicable diseases are caused by pathogens while noncommunicable diseases are not.Communicable diseases can be treated, noncommunicable diseases can not.Communicable diseases are not caused by pathogens while noncommunicable diseases are.Communicable diseases are hereditary, noncommunicable diseases are not.PLZ help as fast as you can!!!k12 test Use the four-step method to judge this argument:The best way to build an argument is to cite credible sources and stay focused on the facts of the issue. If we put too much extraneous information in our argument, our readers will get lost and forget our best points. If we rant and rave about the truth, no matter how important that truth is, they will have no reasons to believe us. So, we should always be objective and stick to the facts.