In Problems 55-62, write each function in terms of unit step functions. Find the Laplace transform of the given function 0 =t< 1 57. f(t) = {8 12 1 Jo, 0 =t < 30/2 58. f(t) = ( sint, t = 30/2

Answer:

k is the y-coordinate of the vertex of the function. That vertex is located at (1, -2.5).

The value of k is ...

... A. k = -2.5

i think... ;-;

Answer:

A.k=-2.5

Step-by-step explanation:

just took it

Answer:

- There are more points above the line than below

- This is not a line of best fit

Step-by-step explanation:

       If we count the data points above and below the line, we can see there are about 4 below and 11 above. This means there are more points above the line than below. Since there are more points above the line than below, this is not a line of best fit.

Answer

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

Sub values of c and n in the equation

-5 + 4((2*2) + 2) + (6*5)

Simplify

-5 + (4*6) + 30

- 5 + 24 + 30

= 49

Answeriits the one in the forth box

Step-by-step explanation:

Answer:

the diameter is 9.59 cm

Step-by-step explanation:

hope this helps

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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The type of sample that a store prints a request on each receipt asking customers to fill out a satisfaction survey online if they are willing is a voluntary response sample.

In the statistics world, a voluntary response sample is a research sample that relies on individual self-selection. This is in opposition to random sampling, in which the samples are gathered in a way that ensures everyone in a particular population has an equal chance of being chosen. This method of self-selection is also known as self-selection bias or sampling bias.Voluntary response samples are subject to a variety of flaws. The responses may not be representative of the population as a whole, and they may be skewed by numerous factors, such as which individuals are most likely to volunteer, how these volunteers differ from the population as a whole, and how the survey questions are phrased.The results of a voluntary response survey may be useful in generating hypotheses or gaining a general sense of how individuals feel about a particular subject. However, they are not reliable enough to draw any conclusions or to be taken seriously in the scientific sense.

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Answer:

c

Step-by-step explanation:

because both vertices have their y set as 1, to make a right triangle, it cannot be b. because they are both on y=1, that means they make a straight line going either at x=2 or x=7, so c is the correct answer

it helps to graph the points for this question if you can

Answer:

A= 0.5 and B= 4040

Step-by-step explanation:

If you write out the equation and rearrange a little it gets easier to understand.

( a + b) + (a*b) + (a - b)  you can rewrite this as

a + b + a - b + (a*b)  this is the same as 2a + ab = 2021

The way I looked at it is to figure out how to get that number 1 at the end.

The number 2020 is easy to get to.  How can you get the number 1 using either 2a or ab.

I looked at a = 0.5.   2 times 0.5 would be 1.

So now what would b have to be?  We can get the 1 at the end with the 2a part of the equation so now we have to get ab = 2020.

b = 2020/a  which using our a = 0.5, you can see that b would have to equal 4040.  Test it all out in your equation.

0.5 + 4040 + (0.5 * 4040) + 0.5 - 4040

4040.5 + (2020) - 4039.5 = 2021

So A = 0.5  and B = 4040

Raven bought 1/3 kg of turkey ham, and Chisa bought 2/9 kg less. The total amount of turkey ham they bought together is 1/3 + 1/9 = 3/9 + 1/9 = 4/9 kg. Together, they bought a total of 4/9 kg of turkey ham.

A fraction is a mathematical symbol that represents a portion of a whole or a component of a number. It is made up of two numbers divided by a horizontal line, with the number above the line (numerator) indicating the portion under consideration and the number below the line (denominator) indicating the entire or the total number of equal parts in the whole.

From the given information, we know that Raven bought 1/3 kg of turkey ham, and Chisa bought 2/9 kg less than Raven. This means that Chisa bought:

1/3 kg - 2/9 kg = 3/9 kg - 2/9 kg = 1/9 kg

Now we can find the total amount of turkey ham they bought together by adding Raven's purchase and Chisa's purchase:

1/3 kg + 1/9 kg = 3/9 kg + 1/9 kg = 4/9 kg

Therefore, Raven and Chisa bought a total of 4/9 kg of turkey ham together.

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Answer:

0.6

Step-by-step explanation:

9/15 = 9 ÷ 15 = 0.6

The decimal number for the given fraction is 0.6.

The given fraction is 9/15.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.

Here, 9/15

= 3/5

= 0.6

Therefore, the decimal number for the given fraction is 0.6.

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Answer:

x= 68.19°

Step-by-step explanation:

you can use inverse of cos(x)

\(cos^{-1}\)(\(\frac{2}{5}\)) =68.19°

∴ x=68.19°

Answer:

we can find the value of x using cos.

cos=adjacent side/hypotenuse

\(cos(x)=2/5\\\)

Using inverse cos, we can find the value of x

\(cos^-1(2/5)=66.42182152\\x=66\)

(Rounded)

Step-by-step explanation:

Answer:

6992 pounds

Step-by-step explanation:

437 bags x 16 pounds per bag = 6992 pounds in all of the bags combined

Answer:

$10285.29

Step-by-step explanation:

The idea is to solve for the final amount when $7000 is invested and compounded

given data

principal= $7000

rate= 8%= 0.08

time =5years

We know that the expression for the final amount is

\(A = P(1 + {r)^{t}\)

A = 7000(1 + {0.08)^5

A=7000(1.08)^5

A=7000(.469328)

A= 10285.29

They have available to spend on that vacation $10285.29

The data set which consists of 900 values that follow a standard normal distribution with a mean of 90 and a standard deviation of 8 has 480 values that lie between 86 and 98.

We need to determine how many values in the data set lie between 86 and 98. The formula for calculating the Z-score is as follows: Z = (X - μ) / σwhereX = the value of interestμ = the meanσ = the standard deviation

Using this formula, we can find the Z-scores for the lower and upper bounds of the range as follows:Z lower = (86 - 90) / 8 = -0.5Z upper = (98 - 90) / 8 = 1.0We can then look up these Z-scores in the standard normal distribution table to find the corresponding probabilities.

Using the table, the probability of a Z-score being less than -0.5 is 0.3085, and the probability of a Z-score being less than 1.0 is 0.8413. Therefore, the probability of a Z-score being between -0.5 and 1.0 is:0.8413 - 0.3085 = 0.5328

Finally, we can convert this probability to the number of values in the data set that lie between 86 and 98 by multiplying it by the total number of values in the data set:900 x 0.5328 = 479.52 values

Therefore, there are approximately 480 values in the data set that lie between 86 and 98.

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Answer:

The equation is 0.5x - 5= y

Answer:

The answer is c which is=5605

Answer:

C.

Step-by-step explanation:

Since there's no sequence of numbers, we assume that the number that lies between 5,595 and 5,610 is the mean of the 2 numbers.

However, if we calculate its mean, we can have 5,602.5 and it doesn't appear on any options. Thus, we will choose the nearest value from those options.

49 is the amount that would need to be added in order to "complete the square".

Given the quadratic equation below:

x² + 14x + 3=0

In order to complete the square, we will add the square of the half of the coefficient of x to both sides.

Coefficient of x = 14

Half of coefficient of x = 14/2 = 7

Square of the half of coefficient of x = 7²

Square of the half of coefficient of x = 49

Hence the number that would have to be added to "complete the square" is 49.

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Answer:

5

Step-by-step explanation:

All of the x values are 5, so the domain is 5

The volume of the pyramid with a square base which has an edge length of 2 cm and a measure of an angle BAC is 45° is equal to 4.8cm³.

A pyramid's edge length is 2cm.

The bottom is square.

Base area = (2)²

A is the center of the square base B is the apex of the right triangle BCA.

m ∠BAC = 45°

m ∠ABC = 45°

AC = BC

AC length = 3.6cm

BC height = 3.6cm

Volume (pyramid) = (1 ÷ 3) × base area × height

Volume (pyramid) = (1 ÷ 3) × (2)² × 3.6

Volume (pyramid) = 4.8cm³

As a consequence, the dimension of a pyramid with only a square base, a 2 cm edge length, and a BAC angle of 45° is 4.8cm³.

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The complete question is :

A solid oblique pyramid has a square base with an edge length of 2 cm. Angle bac measures 45°.

Point B is the apex and point A is the center of the square base. Line BC is the height of the pyramid. Triangle BCA is a right triangle. Base AC has a length of 3. 6 centimeters. What is the volume of the pyramid?

a. 2.4 cm³      b. 3.6 cm³      c.  4.8 cm³          d. 7.2 cm³.

Answer:

4.8cm^3

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

I will answer this question with the attached square pyramid

From the attached pyramid, we have:

\(Base\ Length = 20m\)

So, the base area is:

\(Area = Length * Length\)

\(A_1= 20m*20m\)

\(A_1= 400m^2\)

The dimension of each of the 4 triangles is:

\(Height = 16.4m\)

\(Base = 20m\)

So, the area of 4 triangles is:

\(Area = 4 * 0.5 * Base * Height\)

\(A_2 = 4 * 0.5 * 20m * 16.4m\)

\(A_2 = 656m^2\)

So, the surface area is:

\(Area = A_1 + A_2\)

\(Area = 400m^2 + 656m^2\)

\(Area = 1056m^2\)

From the given function f(x) the value of expression f(f(81)) is equal to 3.

Let's see how to find the answer to the question:

Find (f0f)(81)

In the given question, we need to find the value of (f0f)(81). This notation means (f◦f)(81).

Given that f(x)= sqrt(x) and g(x) =\((x - 7)^2\).

We know that to find (f◦f)(x), we need to evaluate f(f(x)).

This means we need to first evaluate f(x), and then evaluate f(f(x)).

To find (f◦f)(81), we need to find f(f(81)).

Using the function f(x), we find f(81):

f(81) = sqrt(81) = 9

Now, we use the function f(x) again to find f(f(81)):

f(f(81)) = f(9)

= sqrt(9)

= 3

Thus, we have found that

(f◦f)(81) = f(f(81))

= 3

Hence, the value of (f0f)(81) is 3.

Therefore, the value of (f0f)(81) is 3.

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The natural numbers are "closed" under addition and multiplication. ... The subtraction of two natural numbers does NOT necessarily create another natural number (3 - 10 = -7). The division of two natural numbers does NOT necessarily create another natural number (1 ÷ 2 = ½). not closed under subtraction and division.

Answer:

Explanation:

Given the expression;

simplifying;

we have;

Therefore;

The given quadratic equation in vertex form is y = 4(x - 3)^2 - 45.

To write the given quadratic equation 3x^2 - 24x - 44 = 1 - x^2 in vertex form, we need to complete the square as follows:

3x^2 - 24x - 44 = 1 - x^2

4x^2 - 24x - 45 = 0 (subtracting 1 from both sides and multiplying by 4)

x^2 - 6x - 45/4 = 0 (dividing the entire equation by 4)

x^2 - 6x + 9 - 45/4 = (x - 3)^2 - 45/4 (completing the square by adding and subtracting (6/2)^2 = 9)

x^2 - 6x + 9 - 45/4 = (x - 3)^2 - 45/4

Multiplying both sides by 4, we get:

4(x^2 - 6x + 9) - 45 = 4(x - 3)^2 - 45

Simplifying the right-hand side, we get:

4(x^2 - 6x + 9) - 45 = 4(x - 3)^2 - 45

Vertex form: y = 4(x - 3)^2 - 45

Therefore, the given quadratic equation in vertex form is y = 4(x - 3)^2 - 45.

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Answer:

V = 7234.56 km^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 (3.14) (12)^3

V = 7234.56 km^3

Answer:

7234, 56 km³

Step-by-step explanation:

π×R³×4/3=3.14×1728×4/3=7234, 56 km³

Answer:

JL= 127       JML= 233

Step-by-step explanation:

a circle = 360 degrees and you can tell that JML is going to be larger than JL

and because of that 127 the arc with it = the same

then you do 360-127 and you get 233 for JML