The table represents a quadratic function C(t). t C(t) −2 1 −1 4 0 5 1 4 2 1 What is the equation of C(t)?

Carl's average speed was 4244 miles/hr during those 2.5 hours

First, the odometer showed palindromic no. 25952 miles

after 2.5 hours odometer showed the next palindromic no. is 36563.

hence the distance covered in 2.5 hours = 36563 - 25952 = 110611 miles.

Now, we have to find the average speed with the distance covered 110611 miles in a particular time of 2.5 hours.

Using formula,

average speed = total distance / total time

                    \(\frac{10611}{2.5}\) =4244 miles/hour is the average speed

Hence, Carl's average speed was 4244 miles/hr during those 2.5 hours

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Answer:

22 feet

Step-by-step explanation:

Answer:The guy is correct. its 2021 eduinty

Have a great day!

Step-by-step explanation:

Answer:

1250 women

Step-by-step explanation:

1500 / 6 = 250

250 x 5 = 1250

hope this helps

Answer:

There are 1,250 women

Step-by-step explanation:

If the ratio of men to women is 6 to 5, and there are 1,500 men, the actual ratio of men to women is 1,500 to x, where x is equal to the amount of women at the college.

Since 6/5 is equal to 1,500/x, you cross multiply to find that 7,500 is eual to 6x.

Divide both sides by 6 to find that x is equal to 1,250 women.

Answer:

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of the leg is 2x-2. The Perimeter of the triangle is 46. Find X.

2x - 2 + 2x - 2 + x = 46

5x - 2 - 2 = 46

5x = 50

x = 50 : 5

x = 10

Answer:

The Great Western Trail = 4,455 miles

Step-by-step explanation:

The Iditarod Trail = 1,025 miles long

The Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail.

The Great Western Trail = (4 × 1,025) miles + 355 miles

= 4,100 miles + 355 miles

= 4,455 miles

The Great Western Trail = 4,455 miles

The down payment and the amount financed are given as follows:

The down payment and the amount financed are obtained applying the proportions in the context of the problem.

Anna wants to add a $15,280 sunroom to her house. Her bank requires 20% down before lending her any money, hence the down payment is given as follows:

0.2 x 15280 = $3,056.

The amount financed is the part of the price that is not part of the down payment, hence it is given as follows:

15280 - 3056 = $12,224.

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Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

Step-by-step explanation:

Hi! Nice to meet you and have a great day

Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

Answer:

:) good day mate

Step-by-step explanation:

:) indeed

Answer:

B. :>

Step-by-step explanation:

Answer:

Compare the ratios in simplest form.

Compare the cross products.

Sorry for taking so long, my dog peed on my floor while I was answering this :(

I hope this helps!!

Answer:

Step-by-step explanation:

Jhbiko

Answer:

7/5

Step-by-step explanation:

4x+3=9x-4

3=9x-4-4x

3=5x-4

3+4=5x

7=5x

7/5=x

x= 7/5

is this one of the choices I hope it helps.

Answer:

\(\$316.80\:\text{a week}\)

Step-by-step explanation:

If a 40% income tax is deducted from Mrs. Frank's income, her total/net income will be 60% of her income before income tax.

Therefore, her net pay is equal to \(528\cdot 0.6=\boxed{\$316.80\text{ a week}}\).

Answer:

C

Step-by-step explanation:

The big triangle and small triangles are similar so their corresponding sides are in proportion.

x/15 = 15/9

x= 15*15/9

x=25

The function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

To find f(t) from the Laplace transform ℋ(f(t)), we need to apply the inverse Laplace transform ℒ⁻¹ to ℋ(f(t)).

Given ℋ(f(t)) = ℋ{s(t)}, we have:

ℒ⁻¹{ℋ(s(t))} = ℒ⁻¹{ℋ[(s + 1)²/s]} = ℒ⁻¹{ℋ[s/s] + ℋ[2s/(s+1)²] + ℋ[1/(s+1)²]}

Using the properties of Laplace transforms and taking the inverse Laplace transforms, we get:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

where u(t) is the unit step function.

Therefore, the function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

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The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

We know that the phone numbers of a small town either begin with 373 or 377. We are required to find out the number of phone numbers that are available. To solve this question, we need to count the number of phone numbers that are available for each prefix.

The prefix 373 can have numbers ranging from 3730000 to 3739999. Similarly, the prefix 377 can have numbers ranging from 3770000 to 3779999.

Therefore, the total number of phone numbers that are available is the sum of the phone numbers available for each prefix.

Total number of phone numbers = Number of phone numbers available for prefix 373 + Number of phone numbers available for prefix 377

Total number of phone numbers = 10000 + 10000

Total number of phone numbers = 20000

Therefore, The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

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Answer: which region?

Step-by-step explanation:

The area of the shaded region is 86 cm².

We have,

The figure is a composite of a circle and a square.

Now,

Radius = 20/2 = 10 cm

Area of the circle.

= πr²

= 3.14 x 10²

= 3.14 x 100

= 314 cm²

Now,

Area of the square.

= side²

= 20²

= 400 cm²

Now,

The area of the shaded region.

= Area of the square - Area of the circle

= 400 - 314

= 86 cm²

Thus,

The area of the shaded region is 86 cm².

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According to the circle graph, doing well in school is a problem that affects B. 1,400,000 high school teenagers.

The circle graph shows that 12% of high school students have the problem of doing well in school.

In actual numbers, this is:

= 12% x number of high school teenagers

Solving gives:
= 12%  x 14,054,077

=  1,686,489 students

= 1,400,000 approximate

In conclusion, option B is correct.

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\(2x+3y=22\\3x+y=19|\cdot(-3)\\\\2x+3y=22\\\underline{-9x-3y=-57}\\-7x=-35\\x=5\)

Answer:

whole number if you can pick more choices it would be A, C, and D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

4/5-1/5= 3/5

The fraction which represents the total kg of cherries that Noah and Mai have is (D) (1 + 1/2) * 3 kg.

An element of a whole is a fraction.

The number is represented mathematically as a quotient, where the numerator and denominator are split.

Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

So, we know that:

Noah = 3 kg

Mai = 3/2 kg

Which can be represented as:

(1 + 1/2) * 3

Therefore, the fraction which represents the total kg of cherries that Noah and Mai have is (D) (1 + 1/2) * 3 kg.

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The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

The given statement "The this pointer is not automatically passed to static member functions of a class." is false as static member functions can be called without creating an object of the class, and the "this" pointer is used to refer to the current instance of the class. Since no instance is required for static member functions, the "this" pointer is not applicable in this case.

In object-oriented programming, a class is a blueprint for creating objects, and member functions are functions defined within a class that can be called on objects of that class.

Static member functions, also known as class methods, are special member functions that are associated with the class itself rather than any specific object or instance of the class. They are declared using the "static" keyword.

Since static member functions do not operate on specific instances of the class, they do not have access to the "this" pointer. The "this" pointer is a hidden pointer that points to the current object instance, allowing non-static member functions to access the data members and other member functions of the object. However, static member functions do not have this pointer because they are not tied to any specific object.

Static member functions can only access static members of the class, which include static variables and other static member functions. They can be called using the class name itself, without creating an instance of the class. This is because they are not associated with any particular object but rather with the class as a whole.

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The equation representing the relation of x and y for the given values and condition is given by option c. y = one-third x .

x and y vary directly,

This implies,

y ∝x

⇒y = kx

where k is the constant of proportionality.

Using the given values x = 18 and y = 6a, we can solve for k,

⇒6a = k(18)

⇒k = 6a/18

⇒k = a/3

Substituting this value of k into the equation y = kx, we get,

⇒y = (a/3)x

We can simplify this equation as,

⇒y = (1/3)ax

Let us consider the value of a = 1.

Therefore, the equation that relates x and y when x and y vary directly for the values x = 18, y = 6a is  option c. y = (1/3)x.

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The associations rhat are shown by the graph are

A graph depicting a negative linear association appears as points on the chart are concomitantly placed around a straight line that confidently descends from left to right. In simpler terms, there is a notable inverse correlation between the x and y variables, which can be best comprehended with the help of an illustration.

For instance, if one were to consider a dataset representing the age of an automobile (x) and its fuel efficiency in miles per gallon (y), a graph displaying a rigorous negative linear association implies that with an increase in the age of the car, its energy proficiency has an inclination to decrease.

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The mean cost per container is 1.13 dollars. A 90% confidence interval estimate for the mean is (0.66, 1.60) dollars. Not all costs per container fall inside the confidence interval. The costs of 1.89 and 0.89 dollars per container do not fall inside the confidence interval.

The coach for a sports team computed the mean cost per container of popular sports drinks, which was found to be $1.13. A 90% confidence interval estimate for the mean was calculated to be between $0.66 and $1.60. However, the costs of $1.89 and $0.89 per container did not fall within the confidence interval, indicating that they are not representative of the mean cost. This information could be used to make an informed decision on which sports drink to use for the team, considering factors such as cost and confidence in the mean cost per container.

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Answer:

False

Step-by-step explanation:

The slope of that line is -1/2

False

The slope of the line is actually -.05

I would have explained this further but u need it fast so..