PLEASE HELP PLEASE PLEASE REALLY EASY

one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?

The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.

Volume of cuboid = (length x width x height)

= 24 x 8 x 9

= 1,728 cubic inches

Thus, the volume of the cuboid is 1,728 cubic inches.

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

If they meet in 2 hr the rate of the slower car is 86.

What is rate?

rate is the ratio between two of  related quantities in the  different units. If the denominator of the ratio is expressed as of a single unit of one of those quantities.

Sol- as per the given question

{d =380

{t=2

Substitute {d=380 formula

                 {t=2

d=v×t

380=2v

=2(18+2x)=380

Apply the distributive property

36+4x=380

Rearrange variables to the left side of the equation

4x=380-36

4x=344

Divided both side of the equation by the coefficient of variable

X=344/4

By cross out the common factor we get

X=86

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The speed of the asteroid at the final time is infinity.

Given, the velocity as a function of time for an asteroid in the asteroid belt is given by: v(t) = v0 * e^(-t/t0) + 2t * v0

Here, v0 and t0 are constants.

Now, let's find the velocity at final time by substituting the given values:

v(t) = v0 * e^(-t/t0) + 2t * v0v(t) = 2 * e^(-t/336) + 2t * 2m/s

t(t0 = 336 seconds and v0 = 2 m/s)

Now, let's find the velocity at the final time i.e v(ff)

v(ff) = v(∞) = 2 * e^(-∞/336) + 2 * ∞ * 2 m/s = 0 + ∞ = ∞

Thus, the speed of the asteroid at the final time is infinity.

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Answer:

The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.

Hope this helps!

Answer:

2

Step-by-step explanation:

g(x)=2x+3

La derivada de un polinomio es la suma de las derivadas de sus términos. La derivada de cualquier término constante es 0. La derivada de ax  

n

 es nax  

n−1

.

2x  

1−1

Resta 1 de 1.

2x  

0

Para cualquier término t excepto 0, t  

0

=1.

2×1

Para cualquier término t, t×1=t y 1t=t.

2

Answer:

AB = 6m ; BC= 9m ; AC= 9m

Step-by-step explanation:

Answer:

-18x-36y

Step-by-step explanation:

Distributive Property:

-9*2x=-18x

-9*4y=-36y

-18x-36y

Answer:

145 inches

Step-by-step explanation:

Area of the circle = 50 inches

Area of the rectangle = 75 inches

Area of the square = 20 inches

Composite area = Area of the circle + Area of the rectangle + Area of the square

= 50 inches + 75 inches + 20 inches

= 145 inches

Composite area = 145 inches

Answer: I think the answer would be 1/6

Step-by-step explanation:

If you notice, all of the numbers on the left model are 1/6 less than the one on the left. I don't know what type of answer they are looking for but the one on the left is 1.6 smaller than the one on the right:)

Correlation is a measure of the extent to which two factors vary together. Correlation denotes the relationship between two variables. Correlation analysis determines the strength and direction of the linear relationship between two variables. Correlation can be positive, negative, or neutral.

Positive correlation denotes that the variables move together in the same direction, whereas negative correlation denotes that the variables move in opposite directions. Neutral correlation denotes that there is no relationship between the variables. Correlation is a technique that is used in statistics to identify the strength of the relationship between two variables. Correlation can be used to identify the strength of the linear relationship between two variables. Correlation measures the degree to which two variables vary together, in other words, it measures how much the variables are associated with one another. Correlation is used to identify the relationship between two variables. If there is a strong correlation between two variables, it indicates that there is a strong relationship between the variables. Correlation analysis helps in determining the strength and direction of the relationship between the variables. The correlation coefficient is used to measure the strength of the relationship. The correlation coefficient ranges from -1 to +1. The correlation coefficient of +1 indicates a perfect positive correlation, and the correlation coefficient of -1 indicates a perfect negative correlation. The correlation coefficient of 0 indicates that there is no correlation between the variables.

Correlation is a measure of the extent to which two factors vary together. Correlation analysis determines the strength and direction of the linear relationship between two variables. Correlation can be positive, negative, or neutral. Correlation is used to identify the relationship between two variables. The correlation coefficient is used to measure the strength of the relationship between the variables. The correlation coefficient ranges from -1 to +1. The correlation coefficient of +1 indicates a perfect positive correlation, and the correlation coefficient of -1 indicates a perfect negative correlation.

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a) Marginal probability distributions for X and Y are: X 1 2 P(y) Y 0 0.30 0.10 1 0.40 0.20 P(x) 0.50 0.50 and b) Corr(X,Y) = -1.68 and c) Var(W) = -0.34

a) Marginal probability distributions for X and Y are: X 1 2 P(y) Y 0 0.30 0.10 1 0.40 0.20 P(x) 0.50 0.50

b) The covariance and correlation for X and Y are:

Cov(X,Y)= E(XY) - E(X)E(Y)

Cov(X,Y)= (1 * 0 + 2 * 0.3 + 1 * 0.1 + 2 * 0.2) - (1 * 0.5 + 2 * 0.5)(0 * 0.5 + 1 * 0.4 + 0 * 0.1 + 1 * 0.2)

Cov(X,Y)= (0 + 0.6 + 0.1 + 0.4) - (0.5 + 1) (0.4 + 0.2)

Cov(X,Y)= 0.12 - 0.9 * 0.6

Cov(X,Y)= 0.12 - 0.54

Cov(X,Y)= -0.42

Corr(X,Y)= Cov(X,Y)/σxσyσxσy

= √[∑(x-µx)²/n] × √[∑(y-µy)²/n]σxσy

= √[∑(x-µx)²/n] × √[∑(y-µy)²/n]σx

= √[∑(x-µx)²/n]

= √[(0.5 - 1.5)² + (0.5 - 0.5)² + (0.5 - 1.5)² + (0.5 - 1.5)²]/2σx

= 0.50σy

= √[∑(y-µy)²/n]

= √[(0 - 0.5)² + (1 - 0.5)²]/2σy

= 0.50

Corr(X,Y) = Cov(X,Y)/(0.50 * 0.50)

Corr(X,Y) = (-0.42)/0.25

Corr(X,Y) = -1.68

c) The mean and variance for the linear function W = X + Y are:

Hw = E(W)

Hw = E(X + Y)

Hw = E(X) + E(Y)

Hw = 1.5 + 0.5

Hw = 2

Var(W) = Var(X + Y)

Var(W) = Var(X) + Var(Y) + 2Cov(X,Y)

Var(W) = 0.25 + 0.25 - 2(0.42)

Var(W) = 0.50 - 0.84

Var(W) = -0.34

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The values of x and y to make the polygon a parallelogram are given as follows:

Then the length of VT is given as follows:

VT = 150.

In a parallelogram, the diagonals are congruent.

Then we have that RM = MW, hence the value of x is obtained as follows:

4x = 84

x = 84/4

x = 21.

We also have that VM = MT, hence the value of y is obtained as follows:

3y + 15 = 75

3y = 60

y = 60/3

y = 20.

Then the length of VT is obtained as follows:

VT = 2VM

VT = 150.

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To simplify the following expressions:

If value is given

Considering the product and the sum of the roots of the quadratic function, the numeric value of the expressions are given as follows:

1. \(\beta x^2 + \alpha x^2 - \alpha\beta = \frac{1}{4}(x^2 - 1)\)

2. \(\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = -\frac{7}{4}\)

A quadratic function is defined according to the following rule:

y = ax² + bx + c.

In which a and b are the coefficients of the equation.

Supposing that the equation has roots \(\alpha\) and \(\beta\), the product and the sum of the roots of the quadratic function are given as follows:

In this problem, the equation is:

4x² - x + 1.

Hence the coefficients are:

a = 4, b = -1, c = 1.

Then the product and the sum of the roots of the quadratic function are given as follows:

Then the numeric values for the expressions can be found as follows:

\(\beta x^2 + \alpha x^2 - \alpha\beta = x^2(\alpha + \beta) - \alpha\beta = \frac{1}{4}x^2 - \frac{1}{4} = \frac{1}{4}(x^2 - 1)\)

For the second expression:

\(\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = \frac{\alpha^2 + \beta^2}{\alpha\beta} = 4(\alpha^2 + \beta^2)\)

The sum of the squares of the roots is:

\(\alpha^2 + \beta^2 = (\alpha + \beta)^2 - 2\alpha\beta\)

Hence:

\(\alpha^2 + \beta^2 = \frac{1}{16} - \frac{1}{2} = -\frac{7}{16}\)

Then:

\(\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = -\frac{28}{16} = -\frac{7}{4}\)

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The possible values of x found from the secant secant theorem are x = 10, and x = 3

The secant secant theorem states when two secants drawn to a circle from a point external to the circle then the product of a secant and the external segment is equivalent to the product of the second secant and its external segment.

The secant secant rule indicates that we get;

(4 + 2) × 4 = (x - 7) × ((x - 7) + (x - 5))

Therefore;

(4 + 2) × 4 = 24 = (x - 7)² + ((x - 7) × (x - 5))

(x - 7)² + ((x - 7) × (x - 5)) = 24

2·(x - 7)·(x - 6) = 24

(x - 7)·(x - 6) = 24/2 = 12

(x - 7)·(x - 6) = 12

(x - 7)·(x - 6) - 12 = 0

x² -13·x + 42 - 12 = 0

x² -13·x + 30 = 0

(x - 10)(x - 3) = 0

Therefore; the values of x  are;

x = 10, and x = 3

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Answer:

statement 2, conduction is the transfer of heat through direct contact

Answer:

The answer is x-1

(-3x-9)+(4x+8)

-3x-9+4x+8

-3x+4x-9+8

x-9+8

x-1

The solution for the given problem is (a) P(X ≥ 20,000) = 0.4493, P(X ≤ 30,000) = 0.7769, P(20,000 ≤ X ≤ 30,000) = 0.3276. (b) P(X > 75,000) = 0.0821, P(X > 100,000) = 0.0183.

Solution: a) To find the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000). Now, Mean time until failure is 25,000 hours which is given and is represented by µ. Hence, µ = 25,000 hrs. The parameter used for the Exponential distribution is λ.λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004. Therefore, the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000) =  e -λt = e -0.00004 × 20,000 ≈ 0.4493The probability that a randomly selected fan will last at least 20,000 hours is 0.4493.

To find the probability that a randomly selected fan will last at most 30,000 hours. P(X ≤ 30,000) = 1 - e -λt = 1 - e -0.00004 × 30,000 ≈ 0.7769. The probability that a randomly selected fan will last at most 30,000 hours is 0.7769.

To find the probability that a randomly selected fan will last between 20,000 and 30,000 hours. P(20,000 ≤ X ≤ 30,000) = P(X ≤ 30,000) - P(X ≤ 20,000)P(20,000 ≤ X ≤ 30,000) = (1 - e -λt) - (1 - e -λt)P(20,000 ≤ X ≤ 30,000) = e -0.00004 × 20,000 - e -0.00004 × 30,000 ≈ 0.3276. The probability that a randomly selected fan will last between 20,000 and 30,000 hours is 0.3276.

b) To find the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

z = (X - µ) / σZ = (X - µ) / σ = (X - 25,000) / (25,000)λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004

The formula for z is z = (X - µ) / σ => X = z σ + µ

The standard deviation of the Exponential distribution is σ = 1 / λσ = 1 / 0.00004 = 25,000 hrs

Z = (X - µ) / σ = (X - 25,000) / (25,000)Z > 2z > 2 => (X - 25,000) / (25,000) > 2 => X > 75,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

P(X > 75,000) = e -λt = e -0.00004 × 75,000 ≈ 0.0821

The probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations is 0.0821

To find the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations.

Z > 3z > 3 => (X - 25,000) / (25,000) > 3 => X > 100,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations P(X > 100,000) = e -λt = e -0.00004 × 100,000 ≈ 0.0183

The probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations is 0.0183.

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Answer:

-177.8 feet below sea level.

Step-by-step explanation:

First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.

Hope this helps!

Answer:

$11.99

Step-by-step explanation:

7.99/2 = 3.995

3.995 rounds up to 4

7.99 + 4 = 11.99

Answer:

11.99 is the answer

Answer:

-10

Step-by-step explanation:

5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Answer:

last one is the constant function

Step-by-step explanation:

The selection of r objects out of n is done in

many ways.

The total number of selections 10 that we can make from 6+7=13 students is  

thus, the sample space of the experiment is 286

A.  

"The probability that a randomly chosen team includes all 6 girls in the class."

total number of group of 10 which include all girls is C(7, 4), because the girls are fixed, and the remaining 4 is to be completed from the 7 boys, which can be done in C(7, 4) many ways.

P(all 6 girls chosen)=35/286=0.12

B.

"The probability that a randomly chosen team has 3 girls and 7 boys."

with the same logic as in A, the number of groups were all 7 boys are in, is  

so the probability is 20/286=0.07

C.

"The probability that a randomly chosen team has either 4 or 6 boys."

case 1: the team has 4 boys and 6 girls

this was already calculated in part A, it is 0.12.

case 2, the team has 6 boys and 4 girls.

there C(7, 6)*C(6, 4) ,many ways of doing this, because any selection of the boys which can be done in C(7, 6) ways, can be combined with any selection of the girls.  

the probability is 105/286=0.367

since  case 1 and case 2 are disjoint, that is either one or the other happen, then we add the probabilities:

0.12+0.367=0.487 (approximately = 0.49)

D.

"The probability that a randomly chosen team has 5 girls and 5 boys."

selecting 5 boys and 5 girls can be done in  

many ways,

so the probability is 126/286=0.44

Did this help??

Answer:

It was right!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Stop Cheating.

Answer:

45 ninths or 45/9

Step-by-step explanation:

45/9 = 5/1 = 5

Answer:

45

Step-by-step explanation:

There are 9 nineths in one whole, therefore multiply by 5

    9 x 5 = 45

Answer:

Tom's speed (in mph) on Monday \(=4mph\)

Tom's speed (in mph) on Tuesday \(=3mph\)

Step-by-step explanation:

Using Speed distance time formula.

Tom's speed (in mph) on Monday

\(=Distance/time.\)

\(=1/(15/60).\) [By question statements, \(1hr=60min].\)

\(=4mph\)

Tom's speed (in mph) on Tuesday

\(=Distance/time.\\ =1/(20/60).\)[By question statements, \(1hr=60min].\)

\(=3mph.\)

Hence

Tom's speed (in mph) on Monday\(=4mph.\)

Tom's speed (in mph) on Tuesday\(=3mph.\)

I hope this helps you

:)

On Monday, The speed of Tom will be 4 mph.

On Tuesday, The speed of Tom will be 3 mph.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

On Monday Tom takes 15 minutes to walk one mile to school.

On Tuesday he takes 20 minutes to walk the same distance.

Now,

For Monday;

Tom takes 15 minutes to walk one mile to school.

Hence, Distance = 1 mile

Time = 15 minutes = 15/60 hour

Thus, Speed = Distance / Time

                    = 1 / (15/60)

                    = 60/15

                    = 4 mph

For Tuesday;

Tom takes 20 minutes to walk one mile to school.

Hence, Distance = 1 mile

Time = 20 minutes = 20/60 hour

Thus, Speed = Distance / Time

                    = 1 / (20/60)

                    = 60/20

                    = 3 mph

Thus, On Monday, The speed of Tom will be 4 mph.

On Tuesday, The speed of Tom will be 3 mph.

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The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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