It takes a smaller hose twice as long to fill a certain swimming pool as it does a larger hose. It takes both hoses working together 25 minutes to fill the pool. How long will it take the larger hose to fill the pool by itself?

Answers

Answer 1

Answer: it will take the larger hose 37.5 minutes to fill the pool.

Step-by-step explanation:

Let t represent the number of minutes it will take the larger hose to fill the pool by itself. It means that the rate at which larger hose fills the pool per minute is 1/t

It takes the smaller hose twice as long to fill the swimming pool as it does the larger hose. It means that the number of hours it takes smaller hose to fill the pool is 2t and it fills it alone, then the rate at which it fills the pool per minute is 1/2t

By working together, they would work simultaneously and their individual rates are additive. It takes both hoses working together 25 minutes to fill the pool. It means that the rate at which they fill the pool together per minute is 1/25. Therefore,

1/t + 1/2t = 1/25

3/2t = 1/25

Cross multiplying, it becomes

2t = 3 × 25 = 75

t = 75/2 = 37.5 minutes

Answer 2

Final answer:

To find the time it takes for the larger hose to fill the pool alone, we set up an equation based on their combined work rate and solve for the larger hose's time, finding that it would take 75 minutes.

Explanation:

The question is about determining how long it will take for the larger hose alone to fill the pool, given that it takes twice as long for a smaller hose to complete the same task, and together they can fill the pool in 25 minutes. To solve this problem, let's denote the time it takes for the larger hose to fill the pool by itself as x minutes. Therefore, the smaller hose takes 2x minutes to fill the pool by itself.



Since the problem involves rates of work, we can use the formula Work done = Rate × Time. The rate can be considered as the portion of the pool filled per minute. So, the larger hose's rate is 1/x and the smaller hose's rate is 1/(2x). Working together, their combined rate is 1/25 of the pool per minute, following the equation 1/x + 1/(2x) = 1/25.



By solving this equation: 2/2x + 1/2x = 1/25 ⇒ 3/(2x) = 1/25 ⇒ x = 75. Therefore, it would take the larger hose 75 minutes to fill the pool by itself.


Related Questions

What is the surface area of the square pyramid?

The surface area is ____ yd2.

Answers

Answer:

16

Step-by-step explanation:

Answer:

it is 16

Step-by-step explanation:

Tablet: $439, 40% off find the discount

Answers

Answer:

439 x 0.4 = 175.6 so the discount is 175.6

Step-by-step explanation:

40% is equal to 0.4 and you just multiply. If you want to find the discount price just subtract the discount off.

Hope this helps can I have brainliest

Final answer:

The discount on the tablet is $175.60.

Explanation:

To calculate the discount on the tablet which is 40% off the original price of $439, we need to use the formula:

Discount = Original Price × Discount Rate

Therefore:

Discount = $439 × 40%

First, convert 40% into a decimal, which is 0.40:

Discount = $439 × 0.40

Do the multiplication to find the discount:

Discount = $175.60

So, the discount is $175.60, and the tablet would then cost $439 - $175.60 = $263.40 after applying the discount.

what is the answer to log100

Answers

Answer:

the answer is 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Larry, you've got two rolls of streamers in for a party hats for $11. How much did each role of streamers cost? How much did each party hat cost? Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Where, you bought two rolls of streamers and four party hats for $11. How much did each role of streamers cost? How much did each party hat cost?

Answers

Answer:

Each steamer costs $2.5 and each party hat costs $1.5

Step-by-step explanation:

Let the cost of 1 steamer =x

Let the cost of 1 party hat =y

Three rolls of streamers and 15 party hats cost $30

3x+15y=30

Two rolls of streamers and four party hats for $11.

2x+4y=11

We solve the two equations simultaneously.

Multiply equation 1 by 2 and equation 2 by 3

6x+30y=60

6x+12y=33

Suntract

18y=27

y=1.5

From 6x+30y=60

6x+30(1.5)=60

6x+45=60

6x=60-45=15

x=2.5

Since x=2.5 and y=1.5

Each steamer costs $2.5 and each party hat costs $1.5

Answer:

each role of streamers cost $2.5

each party hat cost $1.50

Step-by-step explanation:

Let 's' represent rolls of streamers and 'h' represent party hats

Lets form an equation first

=>For three rolls of streamers and 15 party hats cost $30.

3s + 15h = 30

s= (30-15h)/3 ----> eq(1)

=>For 2 rolls of streamers and 4 party hats cost $11.

2s + 4h = 11

s= (11 -4h)/2 ----> eq(2)

Lets equate eq 1 and 2 in order to find 'h'

(30-15h)/3= (11 -4h)/2    ---->(applying cross multiplication)

60 - 30h = 33 - 12h

60-33 = 30h -12h

27 = 18 h

h= 27/18 => 1.50

therefore, each party hat cost $1.50

substitute above value in eq 1

(1)=> s= (30-15h)/3

s= 30-(15  x 1.5) / 3

s= 2.5

Therefore, each role of streamers cost $2.5

The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height of 7 cm. An oblique rectangular prism has a length of 6 centimeters, a width of 8 centimeters, and a height of 7 centimeters. What is the area of the base of the prism?

Answers

Answer:

48 cm²

Step-by-step explanation:

They are only asking for the area of the base of the prism, which is the length of the prism times the width of the prism.

B = area of base

l = length = 6 cm

w = width = 8 cm

B = l * w

B = 6 cm * 8 cm

B = 48 cm²

The area of the base of the prism is 48 cm²

Answer:

48

and

336

I just did it

I need help. Look at picture

Choose 1 answer:

A. -4.63 x 10^13
B. -28.7
C. -1.65
D. -0.14

Answers

Photomath my guy it helps with math

What is the standard deviation of the data? Round to the nearest whole number.

Answers

Answer:

Where's the data?

Step-by-step explanation:

I need data to answer

INVESTING Maria invests $1000 in a savings account that pays 4% interest compounded annually. The value of the account A at the end of five years can be determined from the equation log10 A = log10[1000(1 + 0.04)5]. Write this equation in exponential form

Answers

Answer:

[tex]A=1000(1+0.04)^5[/tex]

Step-by-step explanation:

-The general expression of an exponential function is :

[tex]A=P(1+r)^n[/tex]

where:

[tex]A[/tex] is the amount after time t.[tex]P[/tex] is the initial amount[tex]r[/tex] is the rate of growth[tex]t[/tex] is the time.

We substitute our parameter values in the equation as:

[tex]A=1000(1+0.04)^5[/tex]

Final answer:

To write the given equation in exponential form, raise the base value of 1000 to the power of (1 + 0.04)⁵.

Explanation:

To write the given equation in exponential form:

Start with the base value, in this case, 1000.

Raise the base to the power of the exponent, which is (1 + 0.04)⁵.

The exponential form would be 1000 * (1 + 0.04)⁵.

I have to give the answer in by 8pm

Answers

Answer:

15

Step-by-step explanation:

TV = TU+UV

     = 12 + 3

TV = 15

Determine the surface area of the triangular prism below
A. 2,001
B. 2,376
C. 2,592
D. 4,320

Answers

Answer:

2376 square feet

Step-by-step explanation:

40 x 15 = 600

40 x 24 = 960

1/2 x (24 x 9) = 108

600 + 600 + 960 + 108 + 108 = 2376

(25 points) Find the probability that a randomly selected student drives to school.

Answers

Answer:

2/5

Step-by-step explanation:

40 students drive to school

40/100 drive to school

2/5

Step-by-step explanation:

Hello there!

Add all of the values in the table to get the total amount of students.

25+25+20+13+5+5+3+2+2=(70)+(23)+(4)=97

Then, make your probability:

P(Drive to school)=(How many students drive)/(All students)

P=40/97

;)

the height of both oblique and right prisms is ALWAYS
A) the perpendicular distance between the bases
B) the length of a lateral edge
C) longer than the altitude of the prism
D) drawn vertically

Answers

Answer:

Option A is correct.

The height of both oblique and right prisms is ALWAYS the perpendicular distance between the bases.

Step-by-step explanation:

Prisms are 3-D shapes that have two parallel faces (called bases) separated at some distance apart (the height of the prism) with the lateral face in between the two parallel bases.

For right prisms, the lateral face is a rectangle while it is a parallelogram for oblique prisms.

The height of a prism is the perpendicular distance between the two bases. In a right prism, the height is a lateral edge as this edge is equal to the perpendicular distance between the two bases.

In the case of the oblique prism, the height is the shortest line segment between the extended bases, the perpendicular distance between the two bases.

So, the height isn't always a length of a lateral edge, isn't always longer than the altitude of the prism and isn't always drawn vertically as the prism sometimes is pictured not resting on its bases, leading to the height drawn horizontally.

So, only option A is totally correct.

Hope this Helps!!!

Which of the following phrases are equations?
Choose 2 answers:
© b = 9
© 7+ 19 = 26
© a +9 > 72
©
X
+Y-
Colo

Answers

Answer:

d

Step-by-step explanation:

The two phrases that are equations are 'b = 9' and '7 + 19 = 26' because both have an equals sign, indicating that two expressions are set equal to each other.

An equation is a mathematical statement that asserts the equality of two expressions, and it is characterized by the presence of an equals sign '='. From the given options, the two phrases that qualify as equations are b = 9 and 7 + 19 = 26. These both show a relationship where two expressions are set equal to each other.

The phrase a +9 > 72 is not an equation, but an inequality because it uses a greater than symbol '>' instead of an equals sign. The last option provided seems to be typos or irrelevant content and does not constitute an equation.

Which is the solution to the system of equations:
x + y = -7
3x + 2y = -17
O (-1,-6)
O (3, -13)
O (4, -11)
O (-3,-4)​

Answers

Answer:

HOW IS THIS HIGH SCHOOL?! ITS SO EASY ITS D

Step-by-step explanation:

Answer:

The fourth one

Step-by-step explanation:

if you plug the values in then you would get

(-3) + (-4) = -7

3(-3) + 2(-4) = -17

-7 = -7

-8 + -9 = -17

-17 = -17

True

To find the average or mean of a set of numbers, add up all the items and divide by…?

Answers

Answer: divide it by the number of numbers you added up.

Step-by-step explanation:

For example, let's say you had to find the average of 1, 2, and 3. You add all the numbers up to get 6. Since you had to add 3 numbers together (1, 2, 3) to get 6, you divide 6 by 3 to get the mean/average, which in this case, is 2

To find the average or mean of a set of numbers, add up all the items and divide by how many numbers there are.

How do you find the average set of numbers that add up all the items and divide by?

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

How do you find the mean in a set of numbers?

The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores.

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Find the value of x

46.

92.

78.

98.

Answers

Answer:

x = 92

Step-by-step explanation:

The segment of measure 46 joins the midpoints of 2 sides of the triangle and is one half the measure of the third side, thus

x = 2 × 46 = 92

A survey of athletes at a high school is conducted, and the following facts are discovered: 68% of the athletes are football players, 26% are basketball players, and 23% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player

Answers

Answer:

71% probability that the athlete is either a football player or a basketball player

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that an athlete is a football player.

B is the probability that an athlete is a basketball players.

We have that:

[tex]A = a + (A \cap B)[/tex]

In which a is the probability that an athlete plays football but not basketball and [tex]A \cap B[/tex] is the probability that an athlete plays both these sports.

By the same logic, we have that:

[tex]B = b + (A \cap B)[/tex]

23% of the athletes play both football and basketball.

This means that [tex]A \cap B = 0.23[/tex]

26% are basketball players

This means that [tex]B = 0.26[/tex]. So

[tex]B = b + (A \cap B)[/tex]

[tex]0.26 = b + 0.23[/tex]

[tex]b = 0.03[/tex]

68% of the athletes are football players

This means that [tex]A = 0.68[/tex]. So

[tex]A = a + (A \cap B)[/tex]

[tex]0.68 = a + 0.23[/tex]

[tex]a = 0.45[/tex]

What is the probability that the athlete is either a football player or a basketball player

[tex]A \cup B = a + b + (A \cap B)[/tex]

[tex]A \cup B = 0.45 + 0.03 + 0.23 = 0.71[/tex]

71% probability that the athlete is either a football player or a basketball player

Answer:

71%

Step-by-step explanation:

Applying Venn's diagram

probabilty that an athlete plays either football or basketball

P ( A ∪ B ) = a + b + ( A  ∩ B )  equation 1

note:

P ( A ) = a + ( A ∩ B )

( A ∩ B ) = 23% = 0.23

a = P( A ) -  0.23 = 0.68 - 0.23 = 0.45

P ( B ) = b + ( A ∩ B )

b = P ( B ) - ( A ∩ B ) = 0.26 - 0.23 = 0.03

back to equation 1

P ( A ∪ B ) = 0.45 + 0.03 +( 0.23 )

                 = 0.48 + ( 0.23 ) = 0.71 = 71%

P( A ) = probability of football players

P ( B ) = probability of basketball players

a = probability of playing football but not basketball

b = probabilty of playing basketball but not football

A canal is 10 miles long. It had a lock every 2/3 mile. How many locks are on the canal?

Answers

there are 15 rocks on the canal.
Final answer:

To find the number of locks on the canal, divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. Therefore, there are 15 locks on the canal.

Explanation:

To find the number of locks on the canal, we need to divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. We can divide 10 by 2/3 to find the number of locks.

Using the rule of dividing by a fraction, we can rewrite the expression as 10 ÷ \(\frac{2}{3}\). This is equivalent to multiplying by the reciprocal of the fraction, so the expression becomes 10 × \(\frac{3}{2}\). Now we can multiply 10 by 3 and divide by 2 to get the answer.

10 × 3 = 30
30 ÷ 2 = 15

Therefore, there are 15 locks on the canal.

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find the slope of the line (-3,-3) (1,1)

Answers

Answer: The slope is m = 1

Step-by-step explanation:

-To find the slope, you need the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]  where you have [tex](x1,y1)[/tex] and [tex](x2,y2)[/tex] on the equation.

-Next, you put the two points to the equation:

[tex]m=\frac{1+3}{1+3}[/tex]

-And then you solve the equation:

[tex]m=\frac{1+3}{1+3}[/tex]

[tex]m=\frac{1+3}{1+3} = \frac{4}{4}=1[/tex]

[tex]m=1[/tex]

The slope of line having  (-3,-3) (1,1) as points is 1 .

Given,

Points:  (-3,-3) (1,1)

To find the slope, you need the slope formula:

m = y2 -y1 /x2 - x1

Here,

(x1 , y1 ) = (-3,-3)

(x2 , y2) = (1,1)

So,

Substitute the values in slope formula ,

m = y2 -y1 /x2 - x1

m = 1 - (-3)/1 - (-3)

m = 4/4

m = 1

Thus the slope of line is 1 .

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Mike claims that (2^3)^5= 2^15. Sarah claims that (2^3)^5= 2^8. Who is correct? Explain your reasoning.

Answers

Mike is correct, because the rules for powers and exponentiation say that when you elevate a certain base which is already being elevated to a certain power, the powers multiply.

This means that:

[tex] {( {a}^{b} )}^{c} = {a}^{bc} [/tex]

Or, using your example:

[tex] {( {2}^{3} )}^{5} = {2}^{3 \times 5 } = {2}^{15} [/tex]

Un local de Santa Bárbara fue pintado por 4 personas emprendedoras que se unieron para montar un negocio de lácteos; Juan, Pedro, Carlos y Mario; Juan pintó 2/7 del local, Pedro pintó 5/14 y Carlos pintó 2/14; ¿qué fracción pintó Mario?

Answers

Answer:

The proportion of premises painted by Mario is [tex]\frac{3}{14}[/tex].

Step-by-step explanation:

The question is:

A local in Santa Bárbara was painted by 4 enterprising people who got together to start a dairy business; Juan, Pedro, Carlos and Mario; Juan painted 2/7 of the premises, Pedro painted 5/14 and Carlos painted 2/14; What fraction did Mario paint?

Solution:

Consider the proportion of the total premises painted is 1.

The four enterprising people who got together to start a dairy business are:

Juan (J), Pedro (P), Carlos (C) and Mario (M).

The proportion of premises painted by Juan is:

[tex]P(J)=\frac{2}{7}[/tex]

The proportion of premises painted by Pedro is:

[tex]P(P)=\frac{5}{14}[/tex]

The proportion of premises painted by Carlos is:

[tex]P(C)=\frac{2}{14}[/tex]

Compute the proportion of premises painted by Mario as follows:

P (M) = 1 - P (J) - P (P) - P (C)

        [tex]=1-\frac{2}{7}-\frac{5}{14}-\frac{2}{14}\\=\frac{14-4-5-2}{14}\\=\frac{3}{14}[/tex]

Thus, the proportion of premises painted by Mario is [tex]\frac{3}{14}[/tex].

Simplify this equation p+p+3 = 13*
O 2+p+ 2 = 13
O 2p+ 3 = 13
O
2p = 10

Answers

Answer:

P=3 hope this helps! Sorry if I get it wrong. Hope I get brainliest! :D

Step-by-step explanation:

Simplifying

3p + -1 = 5(p + -1) + -2(7 + -2p)

-1 + 3p = 5(p + -1) + -2(7 + -2p)

-1 + 3p = 5(-1 + p) + -2(7 + -2p)

-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)

-1 + 3p = (-5 + 5p) + -2(7 + -2p)

-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)

-1 + 3p = -5 + 5p + (-14 + 4p)

-1 + 3p = -5 + -14 + 5p + 4p

 -5 + -14 = -19

-1 + 3p = -19 + 5p + 4p-1 + 3p = -19 + 9p

Solving

-1 + 3p = -19 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.

-1 + 3p + -9p = -19 + 9p + -9p

Combine like terms: 3p + -9p = -6p

-1 + -6p = -19 + 9p + -9p

Combine like terms: 9p + -9p = 0

-1 + -6p = -19 + 0

-1 + -6p = -19

Add '1' to each side of the equation.

-1 + 1 + -6p = -19 + 1

Combine like terms: -1 + 1 = 0

0 + -6p = -19 + 1

-6p = -19 + 1

Combine like terms: -19 + 1 = -18

-6p = -18

Divide each side by '-6'.

p = 3

Simplifying

p = 3

Consider this study: A New York Times article published on April 24, 2007, reported the research of Dr. Giorgio Vallortigara, a neuroscientist at the University of Trieste, Italy, and his two colleagues. The researchers asked whether a dog wags its tail in a preferred direction in response to positive stimuli and in another direction in response to negative stimuli. To answer their question, they recruited 30 dogs that were family pets. Filming each dog from above, they allowed it to view (through a slat in its cage) three positive stimuli separately, in order of descending positivity: its owner, an unfamiliar human, and a cat. All the dogs responded by wagging their tails to the right. But when the dogs were presented with an unfamiliar, aggressive dog, a negative stimulus, all dogs wagged their tails to the left. Which of the following statements is the research hypothesis for this study?

a. A dog's tail will wag differently in response to positive stimuli and to negative stimuli.b. A dog's tail will wag more to the left in response to positive stimuli and more to the right in response to negative stimuli.c. A dog's tail will wag more to the right in response to positive stimuli and more to the left in response to negative stimuli.d. There will be no difference in a dog's tail wagging while viewing positive and negative stimuli.

Answers

Answer:

a. A dog's tail will wag differently in response to positive stimuli and to negative stimuli.

Step-by-step explanation:

A research hypothesis is a proposition that can be tested about the possible outcome of a study based on different stimuli.

A research hypothesis is a specific, clear, and testable proposition or predictive statement about the possible outcome of a scientific research study based on a particular property of a population, such as presumed differences between groups on a particular variable or relationships between variables.

Before a quantitative study takes place, it is important to state the research hypothesis because it is very important to the study.

There is usually an expectation or predicted outcome of the study because the research is determined by the hypothesis.

So it was already hypothesised that a dog would wag its tail in a preferred direction when it is faced with negative or positive stimuli. So the hypothesis was tested as different sets of dogs were placed in a cage and introduced to different stimuli.

From the observation of the researchers, all the dogs wagged their tails to the right when they saw a familiar face (positive stimuli) and wagged their tails to the left when they faced an aggressive dog (negative stimuli)

To prove part of the triangle midsegment theorem using
the diagram, which statement must be shown?
O
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.

Answers

The statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL

What is the Midsegment Theorem?The Midsegment Theorem of a triangle states that the length of the midsegment (line segment joining two sides of a triangle) is half the length of the third side (the base) of the triangle.Midsegment = ½(third side/base)

Given ΔJKL with a midsegment of GH as shown in the diagram attached below:

GH is the midsegment

KL is the base (third side)

Therefore, the statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL

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Find the center and the radius of the circle given the equation of a circle
below.

(x - 2)^2 + (y – 5)^2 = 49

A: Center: (2,5) & Radius=7

B: Center: (5,2) & Radius=49

C: Center: (-2,-5) & Radius=49

D: Center: (-5,-2) & Radius= 7

Answers

Option A) Center: (2,5) & Radius=7 is the correct one.

Step-by-step explanation:

The general form of the equation of the circle is given as :

⇒ (x-h)² + (y-k)² = r²

where,

(h, k) are coordinates of the center point of the circle.r is the radius of the circle.

Therefore, you need to compare the given equation with the general equation of the circle.

The given equation of circle is (x-2)² + (y-5)² = 49

From the given equation, it can be determined that

h = 2 and y = 5 and r² = 49

The center (h,k) of the circle is (2,5).

To find the radius r :

⇒ r² = 49

⇒ r = 7

The radius of the circle is 7.

∴ Option A) Center: (2,5) & Radius=7 is the correct one.

what is the volume in cubic ft of a rectangular prism with a height of 17ft a width of 13 ft and a length of 12ft

Answers

Answer:

The answer is 2652 ft^3 (cubed)

Step-by-step explanation:

To find the volume of a rectangular prism, you need to multiply base X height or Bh.

1. Multiply length by width12 X 13 = 156 ft^2 (squared)2. Multiply base by height156 ft (squared) X 17 ft = 2652 ft^3 (cubed)

Answer:2654

Step-by-step explanation:

30 points and brainliest

Answers

Answer:A

Step-by-step explanation:

Because 4 is negative and would go left and 5 is positive so it would go up

I think maybe it may be B

The circumference of a circle is 31.4 miles. What is the circle's radius?

Answers

Answer:

About 5 miles  or   4.9974 miles

Step-by-step explanation:

Formula:  C = 2*π*r

31.4 miles = 2*π*r

Solve for r, the radius

r = 31.4 / 2*π =  4.9974 miles  or about 5 miles

 

Brainliest answer

Jack has 2 apples he gives one away to his sister how much apples does jack have left.

Answers

Answer:

1

Step-by-step explanation:

Answer:

1 apple

Step-by-step explanation:

2 - 1 = 1 <3

Find the area of the semicircle. Round your answer to the nearest whole number.

Answers

Answer:

2513

Step-by-step explanation:

A=πr^2

A=π40^2

A=π x 1600

A=5026

5026÷2=2513

Answer:

its 628

Step-by-step explanation:

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56/15 as a decimal rounded to the nearest tenth What comparison can be made between Dr. Jekyll andMr. Hyde?Page 1:Page 2:"Well, I tell you so again," continued the lawyer. "Ihave been learning something of young Hyde."The large handsome face of Dr. Jekyll grew paleto the very lips, and there came a blacknessabout his eyes. "I do not care to hear more," saidhe. "This is a matter I thought we had agreed todrop."- The Strange Case of Dr. Jekyll and Mr. Hyde,Robert Louis StevensonThey are both Mr. Utterson's very good friends.They both become agitated at the mention of theother's name.They both are handsome and have a wide circle offriends. I need help with summation notation. Look at picture James says that all numbers havean even number of factors.Is he correct?Yes or no and why The formula for the circumference C of a circle with diameter d is C = xd. Write an expression to represent the circumference of the following circle Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per cubic meter. How many fish can Alvin get, at most? What percentage of radioactive substance remains after two half-lives Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer. Type your answer in the box provided to submit your solution. The marginal cost of producing 40 units of a public good is $200. There are two individuals in the society. Person A is willing to pay $80 for 40 units of the public good. If 40 units of the public good are provided, how much must Person B be willing to pay? are these correct ? im not too sure thank you A line passes through the point (-8,-2) and has a slope of -Write an equation in slope-intercept form for this line. How does the informal style help you better understandthe content of the passage?* It connects science to plumbing.It compares and contrasts ideas.o It helps me visualize what the author is describingO It teaches me useful science vocabulary. HELP PLEASE!Which of the following statements is a true statement about the use of nuclear energy as an alternative energy source?A.Production of electricity from nuclear energy does not produce dangerous radioactive waste products.B.Production of electricity from nuclear energy is a lot more expensive than production of energy from fossil fuels.C.Production of electricity from nuclear energy does not produce greenhouse gases that contribute to global warming.D.Uranium is a renewable resource four whole numbers are rounded to the nearest 10.the sum of the rounded numbers is 90.what is the maximum possible sum of the original four numbers? HELPPPPPP PLEASEEEEEEEEE!!!!! ASAP!!!! When will stemuless checks come I was told not to file my taxes because I get a pension check every month direct deposit money into my bank account is this true I don't have to do my taxes because of this Teen obesity: The 2013 National Youth Risk Behavior Survey (YRBS) reported that 13.7% of U.S. students in grades 9 through 12 who attend public and private schools were obese. [Source: Kann, L., Kinchen, S., Shanklin, S.L., Flint, K.H., Hawkins, J., Harris, W.A., et. al.(2013) YRBS 2013]Suppose that 15% of a random sample of 300 U.S. public high school students were obese. Using the estimate from the 2013 YRBS, we calculate a standard error of 0.020. Since the data allows the use of the normal model, we can determine an approximate 95% confidence interval for the percentage of all U.S. public high school students who are obese. Which interval is the approximate 95% confidence interval?A) 0.097 to o.177B) 0.117 to 0.157 C) 0.110 to 0.190 D) 0.013 to o.170 Si... Use the imparfait or the conditional of each verb in parentheses to complete each blank. 1. Si tu plus dargent, que -tu? (avoir, faire)2. Nous en Afrique si nous le . (aller, pouvoir)3. Est-ce que vous visiter Nice si vous en France? (aimer, aller)4 Si je mes devoirs ce soir, je avec mes copains. (finir, sortir) Free Brainliest for the correct answer!!!! Light of wavelength 614 nm is incident perpendicularly on a soap film (n = 1.33) suspended in air. What are the (a) least and (b) second least thicknesses of the film for which the reflections from the film undergo fully constructive interference?