Edy filled her small 150 gallon swimming pool. In 45 minutes, the pool had 90 gallons in it. How long did it take edy to fill the pool

i believe its b

Step-by-step explanation:

Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)  

 = \(\sqrt{3^2+(1+3)^2}\)

 = \(\sqrt{3^2+4^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

→ 7c + 7d

Step-by-step explanation:

Thus, 7c + 7d can be written as 7(c + d)

a. The Probability of event A is 1 / 576

b. The Probability of event B is 1 / 1680

a. Number of favorable outcomes: The order does not matter, so we can calculate the number of combinations of 4 people chosen from the 8 participants. This can be computed using the binomial coefficient "8 choose 4" or C(8, 4), which is given by:

C(8, 4) = 8! / (4! * (8-4)!) = 70

Probability of event A: P(event A) = Number of favorable outcomes / Total number of outcomes = 70 / 8! = 70 / 40320 = 1 / 576

b. Number of favorable outcomes = 4! = 4 * 3 * 2 * 1 = 24

Probability of event B: P(event B) = Number of favorable outcomes / Total number of outcomes = 24 / 8!

= 24 / 40320

= 1 / 1680

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Answer:

A.

Step-by-step explanation:

Because 75 times 4 is 300 and all the other answers are wrong

Answer:

100%

Step-by-step explanation:

Use conditional probability:

P(B | A) = P(B and A) / P(A)

P(B | A) = (12/28) / P(A)

We need to find the probability that a student studies art.

P(A or B) = P(A) + P(B) − P(A and B)

24/28 = P(A) + (12+12)/28 − 12/28

P(A) = 12/28

P(B | A) = (12/28) / (12/28)

P(B | A) = 1

What this means is that all of the students who study art also study biology.

Answer:

17/25

Step-by-step explanation:

We know that 68% is 68 out of 100. We can write this as a fraction and simplify.

68/100 → 34/50 → 17/25

Best of Luck!

Answer:

17/25

Step-by-step explanation:

A triangle is a shape used to represent the components of total health. True

Answer:

When both the conditions hold true, F is prime.

Step-by-step explanation:

AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9.

  AB

+ CD

--------

  EF

1st condition, B and D are consecutive.

Adding B and D gives us F.

Possible values can be (F being the unit value after adding not considering the carry over):

B + D = F

1+2=3

2+3=5

3+4=7

4+5=9

5+6=1

6+7=3

7+8=5

8+9=7

Here F is not prime (because 9 is not prime).

Now, let us consider the 2nd condition as well.

i.e. C = 8

For the following

  AB

+ CD

--------

  EF

C is 8 then A must be 1 because any value other than 1 for A will make the sum of A and C greater than 9 and there will be a carry which is not the case here.

So, E = 8 + 1 = 9

Now, B  and D are consecutive and can not be 1, 8 or 9.

So, possible values are:

B + D = F

2 + 3 = 5

3 + 4 = 7

Here F is prime.

So, when both the conditions hold true, F is prime.

Answer:

percent decrease

Step-by-step explanation:

I believe it is 75% sorry if I'm wrong

Answer:

83%

Step-by-step explanation:

original amount:3

final amount: 0.5

percent change= amount of change/original amount

amount of change = greater value-lesser value =3-0.5=2.5

percent change=2.5/3=0.83=83%

The final answers are (0, 0, 0), 4x²y³ - 9y²z² + 2y⁵, and 6x²y - 6xyz - 2xz² + 4x²z + 2yz² - 2z³ respectively.

a) curl [grad (f²)]
First, calculate grad (f²).

grad (f²) = (2xy-2yz, 2xy-2xz, 2yz-2xz)

Now, calculate the curl of grad (f²).

curl of grad (f²) = (0, 0, 0)

The final answer is (0, 0, 0).

b) [(curl v) x w].w
First, calculate curl v.

curl v = (0, -4x-2y, -2z)

Now,

calculate [(curl v) x w].[(curl v) x w] = (2y(2z) - (4x+2y)(y²), -(4x+2y)(3z² - y²) - 2z(2y), (4x+2y)(y²) - 3z²(2y))

= (-4xy² + 2yz² + 4x²y - 2y³, -12x²z - 6yz² - 4xy² - 2z³ + 2y³, 8x²y - 6yz² - 6y²z)

cw = (3z²y², -2x²y² + y⁴, y⁴)

Then, calculate [(curl v) x w].w.[(curl v) x w].w

= (-12x²z - 6yz² - 4xy² - 2z³ + 2y³)(3z²y²) + (8x²y - 6yz² - 6y²z)(y⁴) + (-4xy² + 2yz² + 4x²y - 2y³)(y⁴)

The final answer is 4x²y³ - 9y²z² + 2y⁵.

c) [(grad f) x v].v
First, calculate grad f.

grad f = (y, x-z, -y)

Now, calculate

[(grad f) x v].[(grad f) x v] = (2z²y - 4y²x - 2yz², 4x³ - 8x²z - 2z³ + 2xy², 4xy² - 8xyz + 2xz² + 4y²z)

= (-2z(2xy-yz), 2x(2x²-2xz+z²-2y²), 2y(2x²-2yz+y²))

= (-2z(xy-yz), 2x(x²-xz+z²-y²), 2y(x²-yz+y²))

= (2yz-zxy, xz-x²+xy²-y², -xy+y²-yz)cv

= (3z², 2x²-y², y²)

Then, calculate

[(grad f) x v].v.[(grad f) x v].v = (2yz-zxy)(2y) + (xz-x²+xy²-y²)(2z) + (-xy+y²-yz)(4x+z)

The final answer is 6x²y - 6xyz - 2xz² + 4x²z + 2yz² - 2z³.

After performing the required calculations, we get the final answers as (0, 0, 0), 4x²y³ - 9y²z² + 2y⁵, and 6x²y - 6xyz - 2xz² + 4x²z + 2yz² - 2z³ respectively.

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Answer:

So the intermediate step in question is (x - 10)² = 66

Step-by-step explanation:

Let's find out:

x² + 34 = 10x

x² - 10x = -34

x² - 20x + 100 = 66

(x - 10)² = 66

x - 10 = ± √66

x = 10  ± √66

x ≈ 18.12, 1.88

Answer:

(x-5)^2=

(x−5)

2

=

\,\,-9

−9

Step-by-step explanation:

.

\(4 {x}^{2} - 3x - 5 = 0\)

\(a {x}^{2} + bx + c = 0\)

As u can see :

\(a = 4\)

\(b = - 3\)

\(c = - 5\)

The predicted population of the dying town in 2023 is approximately 8,200

To predict the population in 2023 using the exponential law, p(t) = P0e^(kt) or p(t) = P0b^t, we first need to find the constants P0 and k (or b). We know the population was 10,000 in 2016 and 9,500 in 2018.

Step 1: Set up the equations using the given information.
For the year 2016 (t=0), p(0) = P0e^(k*0) = 10,000
For the year 2018 (t=2), p(2) = P0e^(k*2) = 9,500

Step 2: Solve for P0 and k.
From the first equation, P0 = 10,000.
Substitute P0 in the second equation: 9,500 = 10,000e^(2k)

Step 3: Solve for k.
Divide both sides by 10,000: 0.95 = e^(2k)
Take the natural logarithm of both sides: ln(0.95) = 2k
Divide by 2: k = ln(0.95) / 2 ≈ -0.0253

Step 4: Predict the population in 2023 (t=7).
p(7) = P0e^(kt) = 10,000e^(-0.0253*7) ≈ 8,200

So, the predicted population of the dying town in 2023 is approximately 8,200, rounded to the nearest whole number.

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Answer:

6.4 miles per hour

Step-by-step explanation:

Answer:

1.6m/h

Step-by-step explanation:

6.4/4=1.6m/h

aaaaaaaa

Answer:

D

Step-by-step explanation:

It passes through -1 and has a negative gradient

Answer:

please mark me brainliest

Step-by-step explanation:

7=3x-5-5x

7=3x-5x-5

7=-2x-5

7+5=-2x

12=-2x

x=12/-2

×=-6

Answer:

-6 = x

Step-by-step explanation:

7 = x + 2x - 5 - 5x

~Combine like terms

7 = -2x - 5

~Add 5 to both sides

12 = -2x

~Divide -2 to both sides

-6 = x

Best of Luck!

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

Answer:

Answer:

-3x - 12=-3(x+4)

Answer: positive 4

Step-by-step explanation:

Answer: 82°

Step-by-step explanation:

Given: Triangle DEF is a dilation of triangle ABC with scale factor 2.

In triangle ABC, the largest angle measures 82°, then the largest angle measure in triangle DEF should be 82°.

So, the largest angle measure in triangle DEF = 82°

The amount of interest charged at the end of the term is approximately $644.75.

To calculate the amount of interest charged at the end of the term, we can use the simple interest formula:

Interest = Principal * Rate * Time

Principal = $6,250

Rate = 4.12% = 0.0412 (decimal form)

Time = 2 years + 6 months = 2.5 years

Plugging in these values into the formula, we have:

Interest = $6,250 * 0.0412 * 2.5

Calculating this expression:

Interest = $6,250 * 0.0412 * 2.5 = $644.75

Therefore, the amount of interest charged at the end of the term is $644.75 (rounded to the nearest cent).

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The height of the triangle is 32 mm

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The area of a triangle can be represented as follows:

area of a triangle = 1 / 2 bh

where

Therefore, the triangle has an area of 32 mm² and base of 8 mm. Let's find the height of the triangle as follows:

area of a triangle = 1 / 2 bh

32 = 1 / 2 × 8 × h

4h = 32

divide both sides by 4

h = 32 / 4

h = 8 mm

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Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

#B4nliest!

Answer:

1.4*10^8

Step-by-step explanation:

(7*10^5)*(2*10^2)

(7*2)*(10^5+2)

14*10^7

1.4*10^8

The probability that she will get job offers from both companies is 0.2

Say Jill is submitting applications to companies A and B. We can have the  equation shown below:

1 = P (only offer from A) + P (only offer from B) + P (offer from both) + P (offer from neither)

The likelihood that she will receive a job offer from each company must be calculated.

One Statement Only:

There is a 0.3  chance that she won't receive a job offer from either of the company .

We learn from statement one that P(offer from neither) = 0.3;

nevertheless, in order to find P,

we still need to know P(offer from only A) + P(offer from only B) (offer from both). The first statement is insufficient to respond to the question. Answer options A and D can be disregarded.

Only Statement Two:

She has a 0.5 chance of accepting a job offer from exactly one of the two companies.

As stated in statement two, P(offer from only A) + P(offer from only B) = 0.5; but, in order to find P, we still need to know P(offer from neither) (offer from both). We can rule out answer option B.

Together, Statements One and Two:

Using the data from statements one and two, we can conclude that:

P(neither's offer) = 0.3

P(only offer from A) + P(only offer from B)) = 0.5

Thus:

1 = 0.5 + P (both offers) + 0.3

0.2 = P(offer from both)

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If passenger seat position within each vehicle is ignoring, then the number of ways that can the friends travel is 17847429600 ways

Total number of friends = 26 friends

They have 6 seat car and 13 seat car and remaining 3 will take a bus

In the first car 6 of the 26 friends are going to sit

The combination will be

26C₆ =  230230

The combination is defined as An arrangement of object where the order in which the objects are selected doesn't  matter. The combination means Selection of things, where the order of things has no importance.

In the second car 13 of 20 friends are going to sit

The combination will be

20C₁₃ = 77520

Calculate combinations, use the formula n Cr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. Calculate a combination,  will need to calculate a factorial.

The factorial of a number is the multiplication of all the numbers between 1 and the number itself. It is written like this: n! . So the factorial of 2 is 2! (= 1 × 2).

Remaining 3 will take the train

Therefore the number of ways = 26C₆ × 20C₁₃  × 3C₃

                                                      = 230230 × 77520 × 1

                                                      = 17847429600

Hence, the number of ways that can the friends travel is 17847429600  ways.

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Answer:

20

Step-by-step explanation:

400% of 5 is 20. To find this, we first need to convert the percentage to a decimal by dividing by 100. In this case, 400% is equal to 4, so 400% of 5 is equal to (4)(5) = 20.

The recursive formula for the given problem is W(n) = W(n-1) + 2 * W(n-1), with the base case W(0) = 1. This formula calculates the number of n-letter "words" that can be created from an unlimited supply of 'a's, 'b's, and 'c's,

To derive the recursive formula, we consider two cases for the first letter of the word: either it is an 'a' or it is not. If the first letter is 'a', we need to ensure that the remaining (n-1) letters form a word with an even number of 'a's. Therefore, the number of words in this case is equal to W(n-1), as we are recursively solving for the remaining letters.

If the first letter is not 'a', we have the freedom to ch

oose from 'b' or 'c'. In this case, we have two options for each of the remaining (n-1) letters, resulting in 2 * W(n-1) possibilities. By summing these two cases, we obtain the recursive formula W(n) = W(n-1) + 2 * W(n-1), which calculates the total number of n-letter words satisfying the given criteria.

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