the cost C (in dollars) of making n watches is represented by C=15n+85. how many watches are made when the cost is $385

The possible values of xy are 2 and 20. However, we know that x and y are positive integers, so y cannot be 1 (otherwise x would not be an integer). Therefore, the only possible value of xy is 20.
The answer is E. 20.

The first step to solve this problem is to prime factorize 2,000. 2,000 = 2^4 * 5^3.
Now we can write x^3*y^4 as (x^2*y^3) * (xy).
We know that x^3*y^4 = 2,000, so we can substitute and get:
(x^2*y^3) * (xy) = 2^4 * 5^3

We want to find the value of xy, so we need to isolate it. We can do this by dividing both sides by x^2*y^3:

(xy) = (2^4 * 5^3)/(x^2*y^3)

Now we can simplify the expression on the right by canceling out factors:

(xy) = (2^2 * 5)/(y)

We know that x and y are positive integers, so y must be a factor of 5. We also know that xy is a positive integer, so y cannot be 5 (otherwise xy would not be an integer). Therefore, y must be 1 or 25.

If y = 1, then xy = (2^2 * 5)/(1) = 20.

If y = 25, then xy = (2^2 * 5)/(25) = 2.

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Answer:

See below.

Step-by-step explanation:

There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.

Answer:

x = (y - b)/m.

Step-by-step explanation:

y=mx+b      

Subtract b from both sides :-

y - b = mx

Divide both sides by m:-

(y - b) /m = x.

The system of equation to describe the situation below is x= 1.

What is equation?

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

The process of equting one thing with another is called the equation of science with objective.

Sol- Based on the given condition-

The formulate is- 36+2x=35+3x

Rearrange variables to the left side of the equation

2x-3x=35-36

Combine like terms

-x= 35-36

Calculate the sum or difference

-x=-1

Devide both side of the equation by the coefficient of variable we get

X=1

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Answer:

X = 1 ; x = 7

Step-by-step explanation:

Given the equation:

s=10|x-4|+50

s = sound level in decibels ; x = number of measures of music played

Take away 50 from Both right hand and left hand side of the equation

Recall s = 80

80 - 50 = 10│x - 4│+ 50 - 50

30 = 10│x - 4│

To get rid of the absolute value sign, append ± to left hand side

± 30 = 10x - 40

Minimum value of x : - 30 + 40 = 10x ; 10 = 10x ; x = 1

Maximum value of x : 30 + 40 = 10x ; 70 = 10x ; x = 7

Answer:

K is the midpoint of JL.

I hope this helps:)

Answer:

The bar over the 9 means that the nine is repeating itself

First page: D

Second page: The bar over 9 means that 9 goes on forever after the decimal point.

Third page: Point A

Fourth page: Greatest 3.1, 2, 2/3, 0.55, 0, -7/8, -4 Least

Fifth page: E is at the origin because the origin is the point (0,0), and point E's coordinates are (0,0)

hope this helps :)

The probability distribution of the variable X, representing the total number of towels drawn from the bag until a red towel is obtained, follows a geometric distribution. The mean of variable X can be calculated as 7/2, and the variance can be calculated as 35/4.

In given , the variable X represents the total number of towels drawn from the bag until a red towel is obtained. Since towels are drawn without replacement, this situation follows a geometric distribution. The probability distribution of X can be calculated as follows:

P(X = k) = (3/7)^(k-1) * (4/7)

where k represents the number of towels drawn.

To calculate the mean of variable X, we can use the formula for the mean of a geometric distribution, which is given by:

mean = 1/p = 1/(4/7) = 7/4 = 7/2

For the variance of variable X, we can use the formula for the variance of a geometric distribution:

variance = (1 - p) / p^2 = (3/7) / (4/7)^2 = 35/4

Therefore, the mean of variable X is 7/2 and the variance is 35/4. These values provide information about the average number of towels drawn until a red towel is obtained and the variability around that average.

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Answer:

Liters

Step-by-step explanation:

Mililiters are small liter BIG Fish tank biGG

Answer: depends if it's a aquarium fish tank it would be liters  if it was a regular fish tank it would most likely be milliliters.

Step-by-step explanation:

The probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%

It is a branch of mathematics that deals with the occurrence of a random event.

a. The probability that a single battery-powered alarm clock works successfully is 1 minus the probability that it fails.

1 - 0.005 = 0.995 or 99.5%.

b. The probability that both the battery-powered alarm clock and the smartphone alarm clock fail is the product of their individual probabilities of failure.

0.005 x 0.052 = 0.00026 or 0.026%.

The probability that both of them do not fail is the complement of the probability that they both fail

1 - 0.00026 = 0.99974 or 99.974%.

Hence, the probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%

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We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.

Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.

This statement is referring to a specific vector-valued function, which we can write as:

f(t) = (0, t^2, ct)

where c is a constant.

The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.

The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.

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Answer:

2.5

Step-by-step explanation

1/4 x 10= 2.5

Answer:

Just trying to get free points

2 1/2 is the answer

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer: 2\(\sqrt{2}\)

Step-by-step explanation: First plug in the value, which is \(\sqrt{8}\)

Then divided to 2\(\sqrt{2}\)

Answer:

the correct answer is B

Step-by-step explanation:

$2.29 is the cost of a notebook.

Here, we have,

given that,

Jack bought 3 pencils and 4 notebooks and paid a total of $10.93. Sara bought 5 pencils and 2 notebooks and paid a total of $7.53.

let, the cost of a notebook = n

the cost of a pencil = p

we would solve this with simultaneous equations,

so if we write it as:

4n + 3p = 10.93

2n + 5p = 7.53

=> we get,

multiplying the equations by 5 and 3, we get,

20n + 15p = 54.65

6n + 15p = 22.59

(subtract)

14n = 32.06

divide both sides by 14,

14n ÷ 14 = 32.06÷ 14

n = 2.29

notebooks = 2.29

So the final answer is notebooks are $2.29.

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Answer:

\(\frac{1-\tan x }{1+\cot x}\)

Step-by-step explanation:

Let \(\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}\), we proceed to prove the given identity by trigonometric and algebraic means:

1) \(\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}\) Given

2) \(\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}\) \(\sin 2x = 2\cdot \sin x \cdot \cos x\)/\(\cos 2x = \cos^{2}x - \sin^{2}x\)

3) \(\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}\) Commutative, associative and distributive properties/\(-a = (-1)\cdot a\)

4) \(\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}\) \(\sin^{2}x + \cos^{2}x = 1\)

5) \(\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}\) Distributive and associative properties.

6) \(\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}\) Existence of multiplicative inverse/Commutative and modulative properties.

7) \(\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }\) \(\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}\)

8) \(\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }\) \(\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}\)

9) \(\frac{1-\tan x }{1+\cot x}\) Existence of multiplicative inverse/\(\tan x = \frac{\sin x}{\cos x}\)/\(\cot x = \frac{\cos x}{\sin x}\)/Result

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer: To get to your final sum you will have to calculate the sum of both items: the sandwiches and the chips. Then you will get the total sum of all what they spend.

Step 1:

Sum of  one sandwich= 4.60 dollar

sum of 47 sandwiches= 47×4.60 =216.2dollars

Step 2:

Sum of one chip=1.25 dollar

sum of 39 bags of chips=39×1.25= 48.75dollars

step 3: sum up the sum of sandwiches and that of the chips

216.2 + 48.75 =264.95dollars

The sample size cannot be determined from this information alone. A confidence interval for a population mean is calculated based on the mean of a sample, the sample size, and the standard deviation.

Deviation is the difference between the expected value or average of a set of data and the actual value. For example, if the average of a set of numbers is 10 and one of the numbers is 15, the deviation of that number is 5. Deviation is a measure of how much variation exists in a set of data. It is an important tool used to measure the accuracy of a data set and identify outliers within that data set. Deviation is also used to measure the volatility of a stock or other investment, which is a measure of how much its price changes over time.

Therefore, to determine the sample size, the mean, standard deviation, and confidence interval of the sample must all be known.

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The sample size cannot be determined from this information alone. A confidence interval for a population mean is calculated based on the mean of a sample, the sample size, and the standard deviation.

Deviation is the difference between the expected value or average of a set of data and the actual value. For example, if the average of a set of numbers is 10 and one of the numbers is 15, the deviation of that number is 5. Deviation is a measure of how much variation exists in a set of data. It is an important tool used to measure the accuracy of a data set and identify outliers within that data set. Deviation is also used to measure the volatility of a stock or other investment, which is a measure of how much its price changes over time.

Therefore, to determine the sample size, the mean, standard deviation, and confidence interval of the sample must all be known.

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Complete Question:
A 95% confidence interval for a population mean was reported to be 152 to 160. If s 15, what sample size was used in this study?

Answer:

24

Step-by-step explanation:

(25^2-7^2)^-2=(625-49)^-2 = 576^-2=24

Answer:

x = 2

Step-by-step explanation:

If it is a vertical line, then is is x = something (the point where the line is). If it is a horizontal line, then it is y = something (the point where the line is).

Answer:

$1.00

Step-by-step explanation:

Dimes = 10 / Nickels = 5 / Quarters = 25

6(10) + 3(5) + 1(25)

60 + 15 + 25 = 100 so that makes it $1.00

The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and  intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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the dimensions of each rectangle is 72.

In geometry, a shape's perimeter is referred to as its total length. The perimeter of a form is determined by adding up the lengths of all of its sides and edges. Linear measurements like centimeters, meters, inches, and feet are used to indicate its dimensions.

EXPLANATION :

The length of a rectangle is 15 cm more than its width.

L - W = 15

Compared to the first rectangle, which has a circumference of 72 cm, the second is 2 cm smaller and 5 cm wider.

2(L-2) + 2(W+5) = 72

Simplify to get 36 L + W + 3 and 36 L + W, which equals 33 by multiplying L - 2 + W + 5 by 2.

Here, combine the two equations and apply elimination.

L - W = 15 \sL + W = 33

Using the initial length, L 2L = 48 L = 24 cm, we may find W = 24 - 15 W = 9 cm, so removing W. Second rectangle width: initial width 24 - 2 = 22 cm; second rectangle length: 9 + 5 = 14 cm.

Calculate the second rectangle's perimeter using the following equation: 2(22) + 2(14) = 44 + 28 = 72

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Answer:

C. 18.5

Step-by-step explanation:

1/2(11 + 26) = 18.5

The pattern is going backwards, and every time, the gap between each number increases by one.

For example 49 comes directly after 48 when counting, so in this pattern, 48 is one behind 49. While 46 is two behind 48, and so on and so forth.

49 - 48 - - 46 - - - 43 - - - - 39 - - - - - 34 - - - - - - 28 - - - - - - - 21.

Hope that makes sense.

High intercorrelations between two or more independent variables in a multiple regression model are referred to as multicollinearity.

A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. With the use of independent variables whose values are known, multiple regression analysis aims to predict the value of a single dependent variable.

Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably.

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Answer:

To determine how many cakes Jahnay is making, we need to calculate the total weight of the ingredients for one cake and then divide the total amount of flour Jahnay is using by that amount.

First, let's calculate the total weight of ingredients for one cake:

150 g sugar + 120 g butter + 210 g flour + 2 eggs = 480 g

Next, let's divide the total amount of flour Jahnay is using by the total weight of ingredients for one cake:

840 g / 480 g = 1.75 cakes

So Jahnay is making 1.75 cakes.