Bryan owns a pet store. He puts one parrot in per cage, he has one parrot extra. If he puts two parrots per cage, he has a cage extra. How many parrots and cages does he have?

Answer:

11

Step-by-step explanation:

Sum of all angles = 180

Right angle = 90

Acute  angle = 79

90+79 =169

   180 -169 = 11

Answer:

11 degrees

Step-by-step explanation:

a right angle = 90 degrees

90-79=11 degrees

The future value of an annuity of $500 per year for 12 years, with an interest rate of 5%, can be calculated using the future value of an ordinary annuity formula. The future value is approximately $7,005.53.

To calculate the future value of an annuity, we can use the formula:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the annuity,

P is the annual payment,

r is the interest rate per compounding period,

n is the number of compounding periods.

In this case, the annual payment is $500, the interest rate is 5% (or 0.05), and the number of years is 12. As the interest is compounded annually, the number of compounding periods is the same as the number of years.

Plugging the values into the formula:

FV = $500 * [(1 + 0.05)^12 - 1] / 0.05

= $500 * [1.05^12 - 1] / 0.05

≈ $500 * (1.795856 - 1) / 0.05

≈ $500 * 0.795856 / 0.05

≈ $399.928 / 0.05

≈ $7,998.56 / 100

≈ $7,005.53

Therefore, the future value of the annuity of $500 per year for 12 years, with a 5% interest rate, is approximately $7,005.53.

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If the tire says P235/65R17, the diameter of your wheel will be 17 inches.

The primary purposes of a car's tires are to carry the weight of the car, transmit traction and braking forces to the road surface, insulate against shocks from the road, and change and maintain the direction of motion.

It offers traction for braking and acceleration and reduces the number of road vibrations that reach the car's body.

It should be noted that the numbers that are written on the tire are vital in knowing the diameter that's illustrated.

In this case, when the tire says P235/65R17, the diameter of your wheel will be 17 inches.

In conclusion, it is 17 inches.

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It would take approximately 100,000 quarters to reach a height of 575 ft, the height of the Washington Monument, when stacked vertically.

To determine the number of quarters required to reach the height of the Washington Monument, we need to calculate the number of quarters stacked that would equal a height of 575 ft.

The height of the Washington Monument is given as 575 ft. We need to find out how many quarters, which have a thickness of approximately 0.069 inches or 0.00575 ft, would need to be stacked to reach this height.
First, we convert the height of the Washington Monument to inches: 575 ft × 12 inches/ft = 6,900 inches.
Next, we calculate the number of quarters needed by dividing the total height in inches by the thickness of a single quarter: 6,900 inches ÷ 0.069 inches/quarter.
Using this calculation, we find that approximately 100,000 quarters would need to be stacked to reach the height of the Washington Monument.
Therefore, it would take approximately 100,000 quarters to reach a height of 575 ft, the height of the Washington Monument, when stacked vertically.

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Answer:

\(E=2.15\times 10^{-4}\ J\)

Step-by-step explanation:

Given that,

The capacitance of the capacitor, \(C=2.2\times 10^{-6}\ F\)

Voltage of the power supply, V = 14 V

We need to find the energy stored in the capacitor.

The formula for the stored energy in the capacitor is given by :

\(E=\dfrac{1}{2}CV^2\)

Put all the values,

\(E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J\)

So, \(2.15\times 10^{-4}\ J\) of energy is stored in the capacitor.

Answer:

the solution is positive so the answer is 35/27

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

Step-by-step explanation:

For the triangle its base is 2 if u add the corners together u get one whole square. so b*h/2

2*4/2=4

And the square is b*h=2*2=4Thts how u show they are the same

Answer:

A fraction with value 1 that we use to convert quantities.

Step-by-step explanation:

1 micro = 0.001 milli 1 milli = 1000 micro

The prefix milli-, likewise, may be added to metre to indicate division by one thousand; one millimetre is equal to one thousandth of a metre. Decimal multiplicative prefixes have been a feature of all forms of the metric system, with six dating back to the system's introduction in the 1790s.

In general form, the equation is 8x² + 30x - 2x = 0.

In factored form, the equation is 4x(2x + 7) = 0.

To solve the equation 8x² + 30x = 2x, we can rearrange it to bring all the terms to one side:

8x² + 30x - 2x = 0

Combining like terms:

8x² + 28x = 0

Now, let's factor out the common factor of 4x:

4x(2x + 7) = 0

To find the solution set, we set each factor equal to zero and solve for x:

4x = 0 -> x = 0

2x + 7 = 0

2x = -7

x = -7/2

Therefore, the solution set for the equation is {0, -7/2}.

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The exponential number 7⁴ we get expression as 2401.

Given that,

The exponential number is 7⁴.

We have to find the expression.

A number's exponent tells us how many times it has been multiplied by itself.

Exponent-related issues are resolved utilising exponentiation rules or exponentiation attributes.

How many times we must multiply the reciprocal of the base is indicated by a negative exponent is the exponential with negative symbol

A fractional exponent is one where the exponent of a number is a fraction.

Take the exponential number.

7⁴

7×7×7×7

2401

Therefore, The exponential number 7⁴ we get expression as 2401.

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A discrete distribution is used to calculate the probability that a random variable will be exactly equal to some value which is 0 ≤ P(X = x) ≤ 1 and ∑P(X = x) =1.

We can say that a discrete distribution is a probability distribution that depicts the occurrence of discrete or individually countable outcomes.

We know that the discrete probability distribution is counting of the occurrences that have countable or finite outcomes. We also know that discrete distributions contrast with continuous distributions, where outcomes can fall anywhere on a continuum, common examples of discrete distribution include the binomial, Poisson, and Bernoulli distributions.

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Answer:

92

Step-by-step explanation:

8* x + y + y

Where

x=9, and y = 10​

Solution=8×9+10+10

=72+20

=92.

So the answer is 92

Answer:

92

Step-by-step explanation:

plz refer the photo i have attached

The number of nickels and the number of dimes that Violet has is 10 nickles and 11 dimes.

Given:

Violet has $1.60 worth of nickels and dimes. She has a total of 21 nickels and dimes altogether.

Let nickles be n and dimes be d.

From statement given:

n + d = 21

n = 21 - d

1 dimes = 10 cents , 1 nickle = 5 cents and $1 = 100 cents.

n + d = $1.60

convert into cents

5n + 10d = 160

divide by 5 on both sides

n + 2d = 32

n = d - 21 substitute in n + 2d = 32

21 - d + 2d  = 32

d + 21 = 32

d = 11

Hence number of dimes = 11

substitute d = 11 in n = 21 - d

n = 21 - 10

n = 10

Hence number of nickles = 10

Therefore the number of nickels and the number of dimes that Violet has is 10 nickles and 11 dimes.

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Answer:

x = 105

Step-by-step explanation:

Do take note for this question, the main goal is to remove the cube root, to do that, we have cube the cube root.

\(\frac{\sqrt[3]{2x+6} }{3} - 8 = -6\\ \frac{\sqrt[3]{2x+6} }{3} = 2\\ \sqrt[3]{2x+6} =6\\(\sqrt[3]{2x+6} )^3=6^3\\ 2x+6 = 216\\ 2x=210\\ x=\frac{210}{2} \\ x=105\)

Answer:

185 bottles/hour

Step-by-step explanation:

680 bottles of milk/5 hours

divide both sides by 5

186 bottles of milk/hour

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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Answer:

\(A=(x^2+16+8x)\ \text{inches}^2\)

Step-by-step explanation:

Given that,

The side length of a square, l = (x+4) inches

We need to find an expression to represent the area of the square.

The area of a square is given by :

\(A=\text{side}^2\)

So,

\(A=(x+4)^2\\\\A=(x^2+16+8x)\ \text{inches}^2\)

So, the area of the square is \((x^2+16+8x)\ \text{inches}^2\).

Answer:100$

Step-by-step explanation: you multiply 40x1 and 20x3

Answer:

Step-by-step explanation:

I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:

\(28=100e^{-.0001t}\) and begin by dividing both sides by 100 to get

\(.28=e^{-.0001t}\) . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.

ln(.28) = -.0001t Now it's easy to solve for t.

\(\frac{ln(.28)}{-.0001}=t\) and

\(\frac{-1.272965676}{-.0001}=t\) so

t = 12729.65676 years or rounded, 12730 years.

A regular triangular pyramid has a triangular base and three congruent triangular faces that meet at a common vertex.

To find the angle between any two faces of the pyramid, we can consider the base triangle and the triangular face adjacent to it.

In a regular triangular pyramid, the base triangle is an equilateral triangle, where all three angles are 60 degrees. Each face adjacent to the base triangle is also an equilateral triangle.

Since the sum of angles in a triangle is always 180 degrees, each angle of the base triangle and each angle of the adjacent face is 60 degrees.

When we consider the angle between the two faces, we are essentially looking at the angle between two adjacent sides of the base triangle. Since the base triangle is equilateral, the angle between any two sides is the same.

Therefore, the angle between any two faces of the regular triangular pyramid is 60 degrees.

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The system of equations has two nullclines, one vertical and one horizontal. The equilibrium points are (0,0) and (1/5, 5/6). Trajectories starting in the upper right quadrant converge to (0,0), while trajectories starting in the lower left quadrant converge to (1/5, 5/6).

The vertical nullcline is given by the equation y = (5 - x)/6. This is the line where dx/dt = 0. The horizontal nullcline is given by the equation x = 1/5. This is the line where dy/dt = 0.

The equilibrium points are the points where dx/dt = 0 and dy/dt = 0. There are two equilibrium points, (0,0) and (1/5, 5/6).

To find the direction of motion, we can look at the signs of dx/dt and dy/dt. If dx/dt > 0 and dy/dt > 0, then the trajectory is moving up and to the right. If dx/dt < 0 and dy/dt < 0, then the trajectory is moving down and to the left.

If we start at the initial position (x,y) in the upper right quadrant, then dx/dt > 0 and dy/dt > 0. This means that the trajectory will move up and to the right. As the trajectory moves, dx/dt will decrease and dy/dt will increase. Eventually, the trajectory will reach the vertical nullcline. At this point, dx/dt = 0 and the trajectory will start moving horizontally. The trajectory will continue moving horizontally until it reaches the horizontal nullcline. At this point, dy/dt = 0 and the trajectory will stop moving.

If we start at the initial position (x,y) in the lower left quadrant, then dx/dt < 0 and dy/dt < 0. This means that the trajectory will move down and to the left. As the trajectory moves, dx/dt will increase and dy/dt will decrease. Eventually, the trajectory will reach the horizontal nullcline. At this point, dy/dt = 0 and the trajectory will start moving vertically. The trajectory will continue moving vertically until it reaches the vertical nullcline. At this point, dx/dt = 0 and the trajectory will stop moving.

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Answer:

yes

Step-by-step explanation:

8² + 15² = 17²

64 + 225 = 289

289 = 289

Answer:7 weeks

Step-by-step explanation:

Answer:

d=24

Step-by-step explanation:

create a common denominator of 12

\(\frac{-2}{3}\)d-\(\frac{1}{4}\)d=\(\frac{-22}{1}\)

\(\frac{-2}{3}\)*4     \(\frac{1}{4}\)*3     \(\frac{-22}{1}\)*12

\(\frac{-8}{12}\)d   - \(\frac{3}{12}\)d   =    \(\frac{-264}{12}\)

\(\frac{-11}{12}\)d=\(\frac{-264}{12}\)

multiple each side by reciprocal (\(\frac{12}{-11}\)) and simplify

d=24

The value of d from the given equation is 24.

The given equation is \(-\frac{2}{3}d - \frac{1}{4}d=-22\).

We need to solve the given equation for d.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved for d as follows:

Take LCM of denominators

LCM of denominators 3 and 4 is 12

Now equate denominators to LCM, that is

\(d(-\frac{2}{3} - \frac{1}{4})=-22\)

⇒ \(d(-\frac{8}{12} - \frac{3}{12})=-22\)

⇒ \(d(\frac{-8-3}{12} )=-22\)

⇒ \(d(\frac{-11}{12} )=-22\)

⇒ d=24

Therefore, the value of d from the given equation is 24.

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Answer:

45/8, or 5.625.

Step-by-step explanation:

There are 54,450 ways to form a committee of three men and four women from a group of 11 men and 11 women.

To form a committee of three men and four women from a group of 11 men and 11 women, you can use the combination formula.

The formula for the number of ways to choose k items from a group of n items is: (n choose k) = n!/(k!(n-k)!)

We can use this formula to calculate the number of ways to choose 3 men and 4 women from the group of 11 men and 11 women.

(11 choose 3) * (11 choose 4) = 165 * 330 = 54,450

Thus, there are 54,450 total ways to form a committee of three men and four women from a group of 11 men and 11 women.

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