A car moves steadily for 5 minutes and covers a distance of 60 m. Calculate the average speed of the car in m/s.​

Answer:

11 feet wide

Step-by-step explanation:

The total cheese production in 2006 was about 7.7 billion pounds and the total cheese production in 2014 was about 9.7 billion pounds

The equation of the function is given as

y = 7(1.03)ˣ

From the question, we understand that:

x represents the number of years after 2003

So, we calculate x when the year is 2006 using

x = 2006 - 2003 = 3

Substitute x = 3 in the equation y = 7(1.03)ˣ

y = 7(1.03)³

Evaluate the equation

y = 7.7 (approximately)

We calculate x when the year is 2014 using

x = 2014 - 2003 = 11

Substitute x = 11 in the equation y = 7(1.03)ˣ

y = 7(1.03)¹¹

Evaluate

y = 9.7 (approximately)

Hence, the amount of cheese is 9.7 billion pounds

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Answer: 12

Step-by-step explanation: 6 times 2 is 12 and she has a 6 inch string and each peace is 1/2 inch long so she would have 12 peaces of string.

The given function f(x) is

We need to find

a) f(5)

It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = 5

Look at the function

At x = 5, y = 5 (1st orderd pair), then

f(5) = 5

b) f(-8)

It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = -8

Look at the function

At x = -8, y = 5, (last ordered pair), then

f(-8) = 5

Answer:

3

Step-by-step explanation:

size of the shelf= 5 1/4 = 21/4

size of movie case = 3/4

The number of movie cases that will fit in a 5 1/4 ft shelf = 21/4 ÷3/4

= 21/4 *4/3

= 7

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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With a \($\$400$\) original bill, a \($1\%$\) late charge, and a subsequent\($1\%$\)increase, Jenna's total bill is now \($\$404.04$\)

The formula for calculating the total amount due after the late charge and subsequent increase is as follows:

Total = Original Bill + (Original Bill * Late Charge %) + (Original Bill * Late Charge % * 1% Increase)

In this problem, the original bill is \($\$400$,\) the late charge is \($1\%$\), and the subsequent increase is also 1%. Plugging these values into the equation, we have

\(Total = $\$400$ + ($\$400$ * $1\%$) + ($\$400$ * $1\%$ * $1\%$) = $\$400$ + $\$4$ + $\$0.04$ = $\$404.04$\)

Therefore, with a $\$400$ original bill, a $1\%$ late charge, and a subsequent $1\%$ increase, Jenna's total bill is now \($\$404.04$.\)

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Answer:

Step-by-step explanation:

New houses in a neighborhood are selling for $175,000. A down payment of $18,000 is

required and a 25-year mortgage at an annual interest rate of 8% is available. Find the

monthly mortgage payment.

Selling price = 175000

down payment = 18000

interest rate = 8% = 0.08

time = 25 years = 300 months (25 * 12)

First, we will compute the total interest for the loan

I = P * R * T

I = (175000 - 18000)(0.08)(25)

I = (157000)(0.08)(25)

I = 314000

A14 adaults 11 kids

Step-by-step explanation:

Answer: impossible.....

Step-by-step explanation:

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The rise is +7, and the run is -6

so, -6, +7

Answer:

its either division or subtraction

Step-by-step explanation:

sub ex:
20000-10000 =10000 (which is half)

div ex
20000/2=10000

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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Answer

y= 12x-64

Step-by-step explanation:

The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.

Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:

Volume = Length * Width * Height

Using the given measurements:

Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches

To simplify the calculation, we can convert the mixed numbers to improper fractions:

Volume = (21/2) inches * (61/2) inches * (129/4) inches

Next, we multiply the fractions:

Volume = (21/2) * (61/2) * (129/4) = 17289/8

The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:

Volume = 2161 1/8 in³.

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The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Based on the differential equation a) Solving the DE subject to P(0) = P0 will yield P = ((kP0 - h)e^(kt) + h)/k. b) For the three cases given (P0 > h/k, P0 = h/k, P0 = 0), the behavior of the population P(t) is will be population will grow without bound, the population will remain constant, and the population will decrease and approach zero as t approaches infinity respectively. c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. At T = (1/k)ln(-h/(kP0 - h)) the fish population will go extinct.

(a) To solve the differential equation (dP/dt) = kP - h subject to P(0) = P0, we need to separate the variables and integrate both sides:

(dP/dt) = kP - h

dP/(kP - h) = dt

∫dP/(kP - h) = ∫dt

ln|kP - h| = kt + C

kP - h = e^(kt + C)

P = (e^(kt + C) + h)/k

Using the initial condition P(0) = P0, we can solve for C:

P0 = (e^(k*0 + C) + h)/k

P0 = (e^C + h)/k

e^C = kP0 - h

C = ln(kP0 - h)

Substituting back into the equation for P, we get:

P = (e^(kt + ln(kP0 - h)) + h)/k

P = ((kP0 - h)e^(kt) + h)/k

This is the solution to the differential equation subject to the initial condition P(0) = P0.

(b) The behavior of the population P(t) for increasing time depends on the initial condition P0:

- If P0 > h/k, then the term (kP0 - h)e^(kt) will be positive and will increase exponentially as t increases, so the population will grow without bound.

- If P0 = h/k, then the term (kP0 - h)e^(kt) will be zero and the population will remain constant at P = h/k for all time.

- If P0 < h/k, then the term (kP0 - h)e^(kt) will be negative and will decrease exponentially as t increases, so the population will decrease and approach zero as t approaches infinity.

(c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. From the equation for P, we can see that this will happen if and only if P0 < h/k:

P(T) = ((kP0 - h)e^(kT) + h)/k = 0

(kP0 - h)e^(kT) = -h

e^(kT) = -h/(kP0 - h)

Since the exponential function is always positive, this equation has no solution for P0 > h/k or P0 = h/k. However, if P0 < h/k, then the term (kP0 - h) is negative and the equation has a solution:

kT = ln(-h/(kP0 - h))

T = (1/k)ln(-h/(kP0 - h))

This is the time at which the fish population will go extinct.

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Answer:

6n-2 = 22

Step-by-step explanation:

n = 4

6(4)-2

24-2

22

The 2007 National Survey of Children's Health found that first-generation children had higher rates of some health conditions than second- or third-plus-generation children, but lower rates of other conditions.

The survey looked at weighted and age-standardized percent distributions of health conditions for first-, second-, and third-plus-generation children, by race/ethnicity.

The results showed that first-generation children had higher rates of allergies, asthma, and developmental problems than second- or third-plus-generation children. However, first-generation children had lower rates of overweight and obesity than second- or third-plus-generation children.

The differences in health conditions between the three generations of children were not consistent across all race/ethnic groups. For example, first-generation black children had higher rates of overweight and obesity than second- or third-plus-generation black children.

However, first-generation Hispanic children had lower rates of overweight and obesity than second- or third-plus-generation Hispanic children.

The reasons for the differences in health conditions between the three generations of children are not fully understood. However, some possible explanations include differences in access to healthcare, differences in cultural beliefs about health, and differences in socioeconomic status.

The findings of the National Survey of Children's Health suggest that it is important to consider the generation of a child when assessing their health needs.

Children from different generations may have different risk factors for certain health conditions, and they may also have different access to healthcare. It is important to provide culturally-sensitive care to all children, regardless of their generation.

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Answer:

i thought it would be - B. ULTRAVIOLET ray

Difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)

Review the following subtraction rules and properties:

Given: Ahab pays dollars for one year's tuition fees and his sister pays dollars fees in tuition for the first year

To find: Difference in tuition fees paid by Ahab and his sister?

Solution:

To find the difference in their fees we have to perform simply normal subtraction

Subtract the fees of his sister from Ahab's fees which is as follows:

\(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)

Hence the difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)

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Answer: the answer should be 95

Step-by-step explanation:

Answer:

i think the first Qu is the second one     and the second Qu  is the last one

Step-by-step explanation:

Answer:

A is for the first one

The second one is B

Step-by-step explanation:

Answer:

$0.68 per pound

Step-by-step explanation:

The price of sugar is $0.68 per pound.

A ratio indicates the number of times one number contains another.

Given that, the person paid $8.16 for 12 pounds of sugar.

Therefore, mathematically it can be written as:

12 pounds of sugar = $8.16

1 pound of sugar = $(8.16/12)

1 pound of sugar = $0.68

Hence, the price of sugar is $0.68 per pound.

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The true statement about h(x) is: The function is increasing on the interval [0, ∞).

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope.If:

             a> 0 , the function is increasing;

             a< 0 , the function is decreasing;

b=the constant term that represents the y-intercept.

The domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

You should convert the text of the question into a math expression.

\(h(x)=3*\sqrt{x}\)

Like the coefficient a is greater than zero (a>0), the function is increasing.

The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.

The range is:

\({Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}\)

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Answer: 4:30

Step-by-step explanation:

Answer:

oh palak cl NC do off is sold em Ms do off do off dlc so off do off sum is sold arrowroot

Answer:

-4

Step-by-step explanation: