A pet store has 12 puppies, including 2 poodles,5 terriers, and 5 retrievers. If Rebecca selects one puppy at random, the pet store replaces the puppy with a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle

Answer:

\(9 \frac{ {d}^{2}y }{ {dx}^{2} } - 12 \frac{dy}{dx} + 4y = 0) \div 9 \\ \frac{ {d}^{2}y }{ {dx}^{2} } - \frac{4}{3} \frac{dy}{dx} + \frac{4}{9} y = 0 \\ y_{1}(x) = {e}^{ \frac{2}{3} x} \\ p(x) = - \frac{4}{3} \\ y_{2}(x) = y_{1}(x) \int \frac{ {e}^{ - \int \: p(x)dx} }{ {(y_{1}(x))}^{2} } dx \\ = {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \int \: \frac{4}{3} dx} }{ { ({e}^{ \frac{2}{3} x})}^{2} } dx \\= {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \frac{4}{3} x} }{ { {e}^{ \frac{4}{3} x}}} dx \\ = {e}^{ \frac{2}{3} x} \int dx \\ \boxed{y_{2}(x) =x{e}^{ \frac{2}{3} x}}\)

Answer:

F and H are both 121 degrees

Step-by-step explanation:

"A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal." - Cue math

Ok, so the two acute angles add up to 118 degrees, and in order to find the remaining angles we need, subtract 118 from 360 to get 242. Because the two obtuse angles are equivalent, divide 242 by 2 to get the measure of each.

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

10 + (x+5)

Step-by-step explanation:

The answer is x + 15, ask me if you need and explanation. Thanks!

☆*: .｡. o(≧▽≦)o .｡.:*☆

Answer:

Step-by-step explanation:

This is  the method I am familiar with.

I Hope It helps :)

\(METHOD- 1 : Elimination\\6x - 2y=10------(1)\\2x+3y =51------(2)\\Multiply -eq-(1)- by -the-coefficient-of-x-in-equation (2)\\Multiply-eq-(2) -by -the-coefficient-of-x-in-equation (1)\\6x - 2y=10------(1) *2\\2x+3y =51------(2)*6\\\\12x-4y=20 ------(3)\\12x+18y=306 ------(4)\\Subtract -eq- (4)- from- eq -(3)\\-22y =-286\\\frac{-22y}{-22} =\frac{-286}{-22} \\y =13\\\)

\(Substitute- 13- for y -in-equation -(1)-or-(2)\\6x - 2y=10------(1)\\6x -2(13)=10\\6x -26=10\\6x =10+26\\6x =36\\\frac{6x}{6} =\frac{36}{6} \\x =6\)

Answer:

Correct answers is

Step-by-step explanation:

1. 3

2. B

3. 6

4. (6,13)

Please click above answer

Step-by-step explanation:

here is my step by step so first you look at the two inner angles which in this case are B and C then you multiply them together to get your angle D.

Answer:

A.) obtuse angle  

B.)  180 degrees

C.) 95 degrees

Step-by-step explanation:

C.) 80 - 85 = 95

Answer:56.077

Step-by-step explanation:

Answer: The answer is 56.077

Answer:

0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction

Step-by-step explanation:

We are given these following probabilities:

4% probability of that a child younger than 18 in the United States has at least one food allergy.

If a child has at least one food allergy, 43% probability of having a history of severe reaction.

If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction

The multiplication of the probabilities. So

0.04*0.43 = 0.0172

0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction

Answer:

Step-by-step explanation:

A rotation

Could you please be more specific on the question?

Answer:

Rotate 90 degrees to the left and then reflect it over the x axis

Step-by-step explanation:

It's a bit odd of a question being that it like doesn't have any axis shown but if you do this to the blue guy it should look like the red guy

The distance travelled by the car in 15 minutes can be determined as,

Thus, the required distance is 10 miles.

Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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Answer:

y \(\leq\) -7

Step-by-step explanation:

6x + 2y \(\leq\) -8   Subtract 6x from both sides

6x - 6x + 2y \(\leq\) -8 - 6

2y \(\leq\) -14  Divide both sides by 2

y \(\leq\) -7

Answer:

$568.75.

Step-by-step explanation:

Answer:

A. 576 gallons

Step-by-step explanation:

60% of 1,440 = 864

1,440 - 864 =    576

so there are 576 gallons left to fill to the top

The entrepreneur's revenue is  $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is  $625x - $33,750

The entrepreneur's revenue from x sold-out performances is given by the formula:

Revenue = (Price per Performance) x (Number of Performances)

Revenue = $2325 x x

Revenue = $2325x

The entrepreneur's cost from x sold-out performances is given by the formula:

Cost = Overhead + (Production Cost per Performance) x (Number of Performances)

Cost = $33,750 + $1700x

The entrepreneur's profit from x sold-out performances is the revenue minus the cost:

Profit = Revenue - Cost

Profit = $2325x - ($33,750 + $1700x)

Profit = $625x - $33,750

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Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

\(x+y = 152\\8.5x+12y=1656\)

From equation 1:

\(x = 152-y\)

Putting the value of y in equation 2

\(8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104\)

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

\(x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48\)

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

Answer:

48 hats

Step-by-step explanation:

x = 3

Explanation:

Expression: 9 + 3x - 5x = 4x - 3x

Collect like terms and solve:

9 - 2x = x

9 = x + 2x

9 = 3x

Divide through by 3:

x = 9/3

x = 3

Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

               \(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Answer: It's number 2

(4,3,2,1,0)

Answer:

Thus, the equation of line for point (-1, 2)  is y = x + 3.

Step-by-step explanation:

Answer:

The equation of the line is y = x + 3.

Step-by-step explanation:

A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.

y = mx + b

y = 1 * -1 + b

y = -1 + b

b = y + 1

b = 2 + 1

b = 3

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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Step-by-step explanation:

\(\dfrac{x^2-4}{x-2}\)

Apply identity a²-b² = (a-b)(a+b)

So, it will be

\(\dfrac{(x-2)(x+2)}{x-2}\)

Where x-2 gets cancelled from numerator and denominator.

Hence, x+2 is the answer.

Hope it helps :)

Answer

Option D is correct.

(x, y)—-> (y, -x)

Explanation

When a rotation of 270° counterclockwise about the origin is done on some coordinate, A (x, y), it transforms this coordinates into A' (y, -x). That is, we switch y and x, then add negative sign to x.

Hope this Helps!!!

Answer:

ans:- B and E

Step-by-step explanation:

\(\pi \: r {}^{2} \)

so pie into 1×1

Answer:

Period: \(\pi\)

Phase shift: n

Step-by-step explanation:

Tangent function:

Has the following format:

\(f(x) = \tan{ax - n}\)

In which the period is \(\frac{\pi}{x}\) and the phase shift is n.

In this question:

\(f(x) = -4\tan{(x-n)}\)

\(a = 1\), and thus, the period is \(\pi\), with a phase shift of n.

Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

Answer:

y = -(3/5)x - 1

Explanation:

The equation of a line has the form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope m can be calculated as:

Where (x₁, y₁) and (x₂, y₂) are two points in the line.

So, if we replace (x₁, y₁) by (0, -1) and (x₂, y₂) by (5, -4), we get that the slope is equal to:

On the other hand, the y-intercept is the point when the line crosses the y-axis. In this case, the line crosses the y-axis at y = -1, so the y-intercept is -1.

Therefore, the equation of the line is:

y = -(3/5)x - 1

Answer: Choice A

Note: the range should be \([-5, \infty)\). See explanation below.

===================================================

We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say \((-\infty, \infty)\) which is interval notation. It represents the interval from negative infinity to positive infinity.

The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that \(y \ge -5\) and that translates to the interval notation \([-5, \infty)\).

The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote \((-5, \infty)\) for choice A, when they should have written \([-5, \infty)\)

I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.

Option A is the correct choice .

Domain will be → all real numbers .

Range will be → y belongs to R : y greater than or equal to -5 .

→ (x+3)^2 It means 0 to infinity

So (x+3)^2-5= (-5, infinity)

→ Range = (-5, infinity )