A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70 cm/s. Find the rate at which the area within the circle is increasing after each of the following. A. After 1 second B. After 5 seconds C. After 6 seconds

Answer:

C)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The guy above me is correct

Answer:

We know that:

1/5 = 0.2 of all adults in US have type O blood.

Then: 4/5 = 0.8 of all adults in US do not have type O blood.

a)  All four are type O.

Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8

Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:

P  =0.2^4 = 0.0016

b) None of them is type O.

Similar to the above case, but this time we work with four times the probability 0.8

P = 0.8^4 = 04096

c) Two of the four are type O.

Here we will have two times the probability 0.2, and two times the probability 0.8.

p = 0.2^2*0.8^2

But, if the people is ordered, the two persons with type O blood can be:

first and second

first and third

first and fourth.

second and third

second and fourth

third and fourth.

6 different combinations, then the actual probability for this case will be:

P = 6*p = 6*(0.2^2*0.8^2) = 0.1536

The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

About 1/5 of all adults in the United States have type O blood.

p = 0.2

q = 1 - p = 1 - 0.2 = 0.8

a. All four are type O. The probability will be

P = p⁴  

P = 0.2⁴

P = 0.0016

b. None of them is type O. The probability will be

P = q⁴  

P = 0.8⁴

P = 0.4096

c. Two out of the four are type O. The probability will be

P = p² × q²  

P = 0.2² × 0.8²

P = 0.04 × 0.64

P = 0.0256

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Answer:

$200

Step-by-step explanation:

To find the original price, divide the price by 0.12:

24/0.12

= 200

So, the dress originally cost $200

Answer:

$200.

Step-by-step explanation:

To find the original price, divide the discounted price by 0.12.

$24 ÷ 0.12% = $200

The dress originally cost $200.

Answer:

15 possible outcomes

Step-by-step explanation:

Since each one of these methodologies are not related to one another and they do not need to be chosen in any order or consecutively then the possible outcomes would only need to be added all together to calculate the total possible outcomes. Since each outcome is independent. Therefore,

m1 = 5 outcomes

m2 = 2 outcomes

m3 = 4 outcomes

m4 = 4 outcomes

5 + 2 + 4 + 4 = 15

we can see that there are a total of 15 possible outcomes

Step-by-step explanation:

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Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]

Where  

[tex]a[/tex] is the side opposite to [tex]\angle A[/tex]

[tex]b[/tex] is the side opposite to [tex]\angle B[/tex]

[tex]c[/tex] is the side opposite to [tex]\angle C[/tex]

[tex]\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08[/tex]

[tex]\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22[/tex]

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3

Area of a triangle is given as:

[tex]\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)[/tex]

[tex]\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}[/tex]

Answer:

kjj ,mStep-by-step explanation:

Answer:

The equation of the line will be:

[tex]y=-\frac{1}{2}x-6[/tex]

Step-by-step explanation:

Given

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -1/2 and the point (4,-8)

[tex]y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)[/tex]

[tex]y+8=\frac{-1}{2}\left(x-4\right)[/tex]

subtract 8 from both sides

[tex]y+8-8=\frac{-1}{2}\left(x-4\right)-8[/tex]

[tex]y=-\frac{1}{2}x-6[/tex]

Therefore, the equation of the line will be:

[tex]y=-\frac{1}{2}x-6[/tex]

Answer:

(-1,1)

Step-by-step explanation:

also use elimination steps by using simultaneous

Answer:

The dimensions of rectangle are:

Step-by-step explanation:

Let 'l' be the length and 'w' be the width of the rectangle

so

[tex]l=2w-3[/tex]

Also, the area of the rectangle is 27ft^2.

[tex]A=27\:ft^2[/tex]

As the area of the rectangle has the formula:

[tex]\:A\:=\:l\times w[/tex]

so

[tex]27=\:l\times w[/tex]

so the equation becomes

[tex]27=\left(2w-3\right)\times \:w[/tex]

[tex]27=2w^2-3w[/tex]

[tex]2w^2-3w-27=0[/tex]

[tex]\left(w+3\right)\left(2w-9\right)=0[/tex]

if   [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]w+3=0\quad \mathrm{or}\quad \:2w-9=0[/tex]

[tex]w=-3,\:w=\frac{9}{2}[/tex]

as the width can not be negative, so

[tex]w=\frac{9}{2}=4.5[/tex] ft

As

[tex]l=2w-3[/tex]

[tex]l=2\left(4.5\right)-3[/tex]

[tex]l=9-3[/tex]

[tex]l=6[/tex]

So the dimensions of rectangle are:

Answer:

l = w + 3cm

l = w + 3cmp = 2l + 2w = 58cm

l = w + 3cmp = 2l + 2w = 58cm

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cm

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cmStep-by-step explanation:

I hope this helps you.

If the measure of the width is 21 inches. Then the measure of the length of the rectangle will be 66 inches.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches.

Then the length of the rectangle will be

We have

L = 3W + 3

Then the perimeter will be

   P = 2(L + W)

174 = 2 (3W + 3 + W)

87 = 4W + 3

84 = 4W

 W = 21 inches

Then the length will be

L = 3W + 3

L = 3 x 21 + 3

L = 63 + 3

L = 66 inches

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Answer:

m= 1

Step-by-step explanation:

find to ordered pair on the graph and [tex]y^{1} - y^{2} \\ x^{1} - x^{2}[/tex]

Answer:

1/21

Step-by-step explanation:

Answer:

1/21

Step-by-step explanation:

6/126 = 1/21 because 6 divided by 6 equals 1 and 126 divided by 6 equals 21.

Answer:

the answer is 21

Step-by-step explanation:

If they drink 1,095 cups per year, and there are 52 weeks in a year, you would divide 52 from 1,095(1,095/52) to get your answer which is 21.05769231. If you round it to the nearest whole number, than it is 21. I hope this helps have a great day.

Answer:

D

Step-by-step explanation:

-2/3 is -.666

-3/5 is -.60

1/2 is .5

and 5/8 is a little more than half since 4/8 is half. so -2/3, -3/5, 1/2, 5/8, or D

Answer:

-48

Step-by-step explanation:=-48

The mean profit of the fruits will be $75.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is just like an average it is calculated by taking the ratio of the sum of all the numbers to the total count of the numbers.

Given that the weekly profit of the fruits is $125, $86, $54, and $35. The mean will be calculated as:-

Mean = ( 125 + 86 + 54 + 35 ) / 4

Mean = 300 / 4

Mean = $75

Therefore, the mean profit of the fruits will be $75.

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Answer:

The customary system states that one pound is equivalent to sixteen ounces(oz).

Step-by-step explanation:

Since the package is one pound, it contains sixteen ounces(oz).

Answer:

the change is b 8. 63-55=8 35+20=55

Answer:

The probability is    [tex]P( \= X > 268 ) =0.35376[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 266[/tex]

    The standard deviation is  [tex]\sigma = 16[/tex]

Generally the standard error of mean is mathematically represented as

        [tex]\sigma_{\= x} = \frac{\sigma}{\sqrt{n} }[/tex]

=>     [tex]\sigma_{\= x} = \frac{16}{\sqrt{9} }[/tex]

=>     [tex]\sigma_{\= x} = 5.33[/tex]

Generally the probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is mathematically represented as

        [tex]P( \= X > 268 ) = P (\frac{ \= x - \mu }{ \sigma_{\= x}} > \frac{268 - 266}{5.33 } )[/tex]

[tex]\frac{\= X -\mu}{\sigma_{\= x} }  =  Z (The  \ standardized \  value\  of  \ \=  X )[/tex]  

          [tex]P( \= X > 268 ) = P (Z > 0.3752 )[/tex]

From the z table  the area under the normal curve to the right  corresponding to  0.3752  is

P (Z  >  0.3752)   =    0.35376

So  

       [tex]P( \= X > 268 ) =0.35376[/tex]

Answer:

Option e: 2/3 is the correct answer.

Step-by-step explanation:

The slope of a line is given by:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Two-points on line are needed to calculate slope of a line. In the attached diagram, two points are highlighted which are located on line C.

The two points are:

(x1,y1) = (9,4)

(x2,y2) = (3,0)

Putting the values in the formula

[tex]m = \frac{0-4}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}[/tex]

The slope of line C is: 2/3

Hence,

Option e: 2/3 is the correct answer.

Answer:

The check digits

a) x₁₂ ≡ 5( mod 10 )

b) x₁₂ ≡ 2( mod 10 )

c)  x₁₂ ≡ 0( mod 10 )

d)  x₁₂ ≡ 3( mod 10 )

Step-by-step explanation:

Given the data in the question;

We know that the formula for determining the UPCs check is;

3x₁ + x₂ + 3x₃ + x₄ + 3x₅ + x₆ + 3x₇ + x₈ + 3x₉ + x₁₀ + 3x₁₁ + x₁₂ ≡ 0( mod 10 )

now we will substitute the given values to determine the value of the last bit

a)

73232184434

we substitute into the formula

3×7 + 3 + 3×2 + 3 + 3×2 + 1 + 3×8 + 4 + 3×4 + 3 + 3×4 + x₁₂ ≡ 0( mod 10 )

                                                                                          x₁₂ ≡ 5( mod 10 )

b)

63623991346

we substitute into the formula

3×6 + 3 + 3×6 + 2 + 3×3 + 9 + 3×9 + 1 + 3×3 + 4 + 3×6 + x₁₂ ≡ 0( mod 10 )

                                                                                           x₁₂ ≡ 2( mod 10 )

c)

04587320720

we substitute into the formula

3×0 + 4 + 3×5 + 8 + 3×7 + 3 + 3×2 + 0 + 3×7 + 2 + 3×0 + x₁₂ ≡ 0( mod 10 )

                                                                                           x₁₂  ≡ 0( mod 10 )

d)

93764323341

we substitute into the formula

3×9 + 3 + 3×7 + 6 + 3×4 + 3 + 3×2 + 3 + 3×3 + 4 + 3×1 + x₁₂ ≡ 0( mod 10 )

                                                                                         x₁₂ ≡ 3( mod 10 )

9514 1404 393

Answer:

Step-by-step explanation:

The amount of cheese Mrs Mack needs is an odd number of eighths of a pound. So, she must buy an odd number of the 7/8 pound packages.

If she were to buy any 1/5 pound packages, she would have to buy a multiple of 5 of them so as to have an integral number of eighths. The only suitable multiple is 0.

If Mrs Mack buys 1 of the 7/8 pound packages, she cannot make up the difference with half-pound packages. She must buy 3 of the 7/8 pound packages, for a total of 2 5/8 pounds of American cheese. The remaining pound can be bought as 2 of the 1/2 pound packages.

To buy 3 5/8 pounds, Mrs Mack must purchase ...

  3 packages of American cheese (7/8 lb each)

  2 packages of Cheddar cheese (1/2 lb each)

Answer:

40

Step-by-step explanation:

Answer:

$13.92

Step-by-step explanation:

$212.90-198.98

Answer:

3 3/18

Step-by-step explanation:

I did this on paper, but im typing on computer, sorry I cant send a photo

Answer:

D is the answer 3 3/18 i am sure it is correct

Answer:

360º

Step-by-step explanation:

too easy

Answer:

360

Step-by-step explanation:

I had it on a quiz also plz mark brainliest im trying to level up

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[tex]( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

_________________________________

[tex]4 {x}^{2} + 20x + p = [/tex]

[tex]( {2x})^{2} + 2(2x)(5) + p = [/tex]

Thus ;

[tex]p = {5}^{2} [/tex]

So

[tex]p = 25[/tex]

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