Please help meh lol.​

Answer:

50 69 600 5.2 2

Step-by-step explanation:

this is because this is simple interest i=pxrxt

To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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Answer:

f(x) = 3x² - 14x - 5

Step-by-step explanation:

multiply the factors: (x + 1/3)(x - 5)

x² - 5x + 1/3x - 5/3

x² -14/3x - 5/3

multiply by 3 to eliminate fractions:

3x² - 14x - 5

Answer:

(x,y) -> (5,4)

Step-by-step explanation:

there is a positive slope.

The three items on Mr. Archer's net worth statement that are liabilities are the auto loan, credit card debt, and home mortgage.

Looking at Mr. Archer's net worth statement, we see that he has several items listed along with their corresponding values in dollars. In order to identify which items are liabilities, we need to look for those that represent debts or obligations.

The first item listed is Mr. Archer's checking account, which has a value of 590 dollars. This is an asset, as it represents money that he owns and has available to spend.

The second item listed is an auto loan with a value of 3,300 dollars. This is a liability, as it represents money that Mr. Archer owes to a lender in order to pay for his car. In other words, the auto loan is a debt that he needs to repay.

The third item listed is credit card debt, with a value of 950 dollars. This is also a liability, as it represents money that Mr. Archer has borrowed from a credit card company and needs to repay.

The fourth item listed is a savings account, with a value of 1,590 dollars. This is an asset, as it represents money that Mr. Archer owns and has saved for future expenses or emergencies.

Finally, the fifth item listed is a home mortgage, with a value of 86,500 dollars. This is also a liability, as it represents money that Mr. Archer has borrowed from a lender in order to purchase his house. The home mortgage is a debt that he needs to repay over time.

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Recall Euler's theorem: if \(\gcd(a,n) = 1\), then

\(a^{\phi(n)} \equiv 1 \pmod n\)

where \(\phi\) is Euler's totient function.

We have \(\gcd(9,32) = 1\) - in fact, \(\gcd(9,32^k)=1\) for any \(k\in\Bbb N\) since \(9=3^2\) and \(32=2^5\) share no common divisors - as well as \(\phi(9) = 6\).

Now,

\(37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} = 32\cdot\left(32^{(\cdots)}\right)^6\)

where the \(c_i\) are positive integer coefficients from the binomial expansion. By Euler's theorem,

\(\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9\)

so that

\(32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9\)

Given    To find    Solution:  First, we replace  with  and  with :      Now, we finally replace  with   Therefore, the inverse of  is

Answer:y=(x-2)/4

Step-by-step explanation:

y=4x+2

4x=y-2

x=(y-2)/4

y=(x-2)/4

Answer:

all you need to do is draw then explain what you drew

Answer: y = 70

Step-by-step explanation:

Since 6x - 100 is the same angle as both 2x + 40, and 3y - 100, we can hopefully solve the equation by using this formula:

6x - 100 = 2x + 40 (add/subtract to simplify)

4x = 140 (divide by 4)

x = 35

This means that the angle measure is 2(35) + 40, or, 70 + 40 which is 110. If you take the angle measure and use it in the equation below, you get your answer

3y - 100 = 110 (add/subtract to simplify)

3y = 210 (divide by 3)

y = 70

hope this helps :)

Answer: y = 70

Step-by-step explanation:

First I'm going to solve for x

6x - 100 = 2x + 40

4x - 100 = 40

4x = 140

x = 35

We solve for the the angle verticle to the equation with Y

2(35)+40

70+40 = 110

So now we can finally find y

3y - 100 = 110

3y = 210

y = 70

Answer:

i dont see anything

Step-by-step explanation:

To get 8 heads in 16 throws of a fair coin there are 12870n different ways and we get by combination

We have 16 throws, and we want to select 8 of those throws to be heads (assuming a fair coin).

The remaining 16 - 8 = 8 throws will be tails.

The number of ways to choose 8 heads out of 16 throws can be calculated using the binomial coefficient formula:

C(n, k) = n! / (k!(n - k)!)

where C(n, k) represents the number of combinations of n items taken k at a time, and n! denotes the factorial of n.

Applying this formula to our situation, we have:

C(16, 8) = 16! / (8!(16 - 8)!)

Calculating the factorial values:

16! = 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 20922789888000

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320

(16 - 8)! = 8! = 40320

Substituting these values into the formula:

C(16, 8) = 20922789888000 / (40320 × 40320) = 12870

Therefore, there are 12,870 different ways to get 8 heads in 16 throws of a fair coin.

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Answer:

Height after 9 weeks: 1.5(9)+5= 18.5

Height after w weeks: 1.5w+5

Step-by-step explanation:

A) 500

B) 54 minutes

C) 68cents and 60 cents

D)

E) $40.95

A proportion is a statement that says that two ratios are equal. They can be used in many everyday situations like comparing sizes, cooking, calculating percentages, and more.

Proportions can be written as equivalent fractions or as equal ratios.

A) 42% = 210

100% = (210 x 100)/42

= 500 people

B) 135 berries = 15 minutes

    486 berries = ??minutes

= (486 x 15)/135

= 54 minutes

C) unit price = $6.75/10 = 0.675cents or 68cents

    ii) unit price = $7.25/12 = 0.604cents or 60cents

D) Inconclusive question.

E) 40% of 65 = $26

65 - 26 = $39

Tax = 5% = $1.95

Total = $39 + 1.95

Final Price of jacket = $40.95

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Answer:

\( - m(7m + 3) - 4 {m}^{2} \\ - 7m^{2} - 3m - 4 {m}^{2} \\ - 11 {m}^{2} - 3m\)

Answer:

i don't know

Step-by-step explanation:

Answer:

that it's a parabola with the equation

\( {(x - 3)}^{2} + 12\)

Answer:

h(-8)=20

Step-by-step explanation:

plug in -8 for x

Answer:

7/4

Step-by-step explanation:

x and y are exchanged for each other, and the sign is flipped.

Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

Value of p is approximately 0.987.

To find the p-value for the given claim that the mean body temperature at 12 AM is μ > 98.6°F with a sample size of n=8 and a test statistic of t=-2.687, follow these steps:

1. Identify the degrees of freedom: Since the sample size is n=8, the degrees of freedom (df) are calculated as n-1, which is 8-1=7.

2. Determine the tail of the test: The claim states that the mean body temperature is greater than 98.6°F (μ > 98.6), which indicates a right-tailed test.

3. Find the p-value using the t-distribution table or a calculator: With a test statistic of t=-2.687 and df=7, you can look up the corresponding p-value using a t-distribution table or an online calculator. Since it's a right-tailed test, the p-value will be the area to the right of the test statistic in the t-distribution.

After completing these steps, the p-value is found to be approximately 0.987.

Therefore, your answer is: The p-value for the claim that the mean body temperature at 12 AM is μ > 98.6°F, given a sample size of n=8 and a test statistic of t=-2.687, is approximately 0.987.

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Answer:

SSS

Step-by-step explanation:

There is two given congruent angles

A linear regression model of the form Y = β0 + β1X + ε can be written as:

Yi = β0 + β1Xi + ei .

A linear regression model of the form Y = β0 + β1X + ε can be written as:

Yi = β0 + β1Xi + ei

Where ei is the residual for observation i. The plot of ei against Xi is known as a residual plot. The purpose of a residual plot is to check for non-linearity, unequal error variances, and outliers.

In this case, it appears that there is non-linearity present in the data. There appears to be a curved pattern in the residuals, suggesting that a linear regression model may not be the best approach to analyzing the relationship between Y and X. A transformation of the data, such as taking a logarithm of the variables, could potentially alleviate the non-linearity in the data.  This could potentially improve the fit of the linear regression model.

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Answer:

$12

Step-by-step explanation:

8% of 150 = 12

In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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(a) shows that every pair of opposite sides in the hexagon a′b′c′d′e′f′ are parallel and equal in length. On the other hand, (b) demonstrates that the triangles a′c′e′ and b′d′f′ have equal areas.

(a) To show that every pair of opposite sides in hexagon a'b'c'd'e'f' are parallel and equal in length, we can use the fact that the centroids of triangles divide the medians into segments of equal length.

Let's consider a'b' and d'e'. The centroid of triangle fab, a', divides the median fb into two segments, a'f and a'b', such that a'f = 2/3 * fb. Similarly, the centroid of triangle def, e', divides the median de into two segments, e'd and e'f', such that e'd = 2/3 * de.

Since fb = de (opposite sides of hexagon abcdef), we have a'f = e'd. Now, we can consider the triangles a'f'd' and e'df'. By the properties of triangles, we know that if two sides of a triangle are equal, and the included angles are equal, then the triangles are congruent.

In this case, a'f' = e'd' (as shown above) and angle a'f'd' = angle e'df' (corresponding angles). Therefore, triangle a'f'd' is congruent to triangle e'df'.

By congruence, the corresponding sides a'd' and e'f' are equal in length.

By similar reasoning, we can show that b'c' and e'f', as well as c'd' and f'a', are parallel and equal in length.

(b) To show that triangles a'c'e' and b'd'f' have equal areas, we can use the fact that the area of a triangle is one-half the product of its base and height.

In triangle a'c'e', the base is c'e' and the height is the perpendicular distance from a' to c'e'. Similarly, in triangle b'd'f', the base is d'f' and the height is the perpendicular distance from b' to d'f'.

Since opposite sides in hexagon a'b'c'd'e'f' are parallel (as shown in part (a)), the perpendicular distance from a' to c'e' is equal to the perpendicular distance from b' to d'f'.

Therefore, the heights of triangles a'c'e' and b'd'f' are equal. Additionally, the bases c'e' and d'f' are equal (as shown in part (a)).

Using the area formula, area = 1/2 * base * height, we can see that the areas of triangles a'c'e' and b'd'f' are equal.

Hence, we have shown that triangles a'c'e' and b'd'f' have equal areas.

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Answer:

5 : 7

Step-by-step explanation:

Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7

Answer:

5:7

Step-by-step explanation:

The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7

Approximately 6,570 tons of aluminum need to be recycled each year.

To calculate the number of tons of aluminum that need to be recycled each year, we can follow these steps:

Determine the number of soft drink cans consumed per person per year:

Since each person consumes one can every two days, they consume 365/2 = 182.5 cans per year.

Calculate the total number of cans consumed in the United States per year:

Multiply the number of cans consumed per person per year by the total population:

182.5 cans/year/person * 270 million people = 49,275 million cans/year.

Convert the weight of the cans to tons:

Since each can weighs 1/15 pound, we need to convert it to tons. There are 2000 pounds in a ton, so 1/15 pound is equivalent to (1/15) / 2000 = 0.00013333333333333333 tons.

Calculate the total weight of aluminum cans in tons:

Multiply the total number of cans by the weight of each can in tons:

49,275 million cans/year * 0.00013333333333333333 tons/can = 6,570 tons/year.

Therefore, approximately 6,570 tons of aluminum need to be recycled each year to account for the consumption of soft drink cans in the United States.

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Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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In seven years, the student population at the Brentwood Student Center will be approximately 4,174.

Using the given terms, the current student population at the Brentwood Student Center is 2,500 and the enrollment increases at a rate of 6% each year. To find the student population closest to seven years from now, we'll use the formula for exponential growth:

Future Population = Current Population × (1 + Growth Rate)^Number of Years

In this case, the future population will be:

Future Population = 2,500 × (1 + 0.06)^7

After calculating, we get:

Future Population ≈ 4,174

So, to the nearest whole number, the student population at the Brentwood Student Center will be approximately 4,174  in seven years.

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Answer: To find the ratio of the dimensions of the actual room to that of the scale model, we can divide the dimensions of the actual room by the dimensions of the scale model.

The dimensions of the actual room are 15m by 9m by 12m, and the dimensions of the scale model are 5m by 3m by 4m.

Therefore, the ratio of the dimensions of the actual room to that of the scale model is:

length: 15m / 5m = 3 : 1

width: 9m / 3m = 3 : 1

height: 12m / 4m = 3 : 1

So, the ratio of the dimensions of the actual room to that of the scale model is 3:1 for all dimensions (length, width, and height)

The ratio of the dimensions of the scale model to that of the actual object is 1:16

so to find the length and width of the actual object, you can use this relation

length = scale model length * 16 = 2.416 = 38.4m

width = scale model width * 16 = 1.816 = 28.8m

So the length and width of the actual object are 38.4m and 28.8m respectively.

Step-by-step explanation: