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SOLUTION:

Case: Initial value problem

An initial value problem is an ordinary differential equation together with an initial condition that specifies the value of the unknown function at a given point in the domain

To solve the initial value problem, we have a value of the derivative of y when x is known.

y'(x)= value

Given:

f(4)=2

The resulting equation will be:

Final answer:

The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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Answer:

A

Step-by-step explanation:

I just did it

Answer:

B. the negative part of the x-axis

Step-by-step explanation:

i did em

The length of the arc defined by a central angle of 270 degrees in a circle with a radius of 1 unit is 3.141592653589793 units.

Answer:

1+xy-13 that is you answer

Answer:

Point A' should be 2 units left and 8 units above of Point C.

Point B' should be 10 units right and above Point C.

Point C stays the same.

Using trigonometric ratio and Pythagoras theorem, the bearing on the dragon fly is 5 miles SW

Bearing is a term used in mathematics to describe the angle between two points. It is the angle between a reference line and a line to the point, measured in a clockwise direction starting at the reference line. The reference line is usually North, but it can also be a line connecting two points.

in this problem, the displacement of the dragon can be calculated when we assume the angle makes a right angle triangle and then we apply Pythagoras theorem.

The displacement of the dragon fly can be calculated as;

x² = 3² + 4²

x² = 9 + 16

x² = 25

x = √25

x = 5 miles

The angle can be calculated using trigonometric ratio. Using the tangent of the angle.

tan θ = 3 / 4

θ = tan⁻¹(3/4)

θ = 37°

The dragon fly is 5miles 37° South West

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Step-by-step explanation:

The name of the illness is morbus cyclometricus

Answer:

26.73 minutes have gone by

Step-by-step explanation:

x        27

----  =  -----    since we are trying to find how many minutes out of 99 passed,

99      100   place x for the missing digit

x times 100 = 99 times 27

x100 = 2673  x times 100 is just x100 since we don't know what x is, and 99  

                       times 27 is 2673

x100 = 2673  to find x, it needs to be alone (x is very introverted :'> ) we can

  ----     -------  remove 100 by doing the opposite of what 100 is doing to the  

 100     100   x. Since it is 100 TIMES x, we will remove it by dividing 100 by        

                      100 (which crosses it out) and then 2673 divided by 100. 2673      

 x = 26.73     divided by 100 gives us 26.73, so x equals 26.73.

Answer:

c

Step-by-step explanation:

i just had that question

A formula for the area Z(t) (in square meters) of the algae colony after t minutes:Z(t) = (100/9)πt²  (in square meters)

Here, the area A(r) of a circular algae colony with radius r meters is given by expression,

A(r) = πr²

And the radius M(t) (in meters) after t minutes is given by expression,

M(t) = (10/3)t

This means that, r = M(t)

Let us assume that Z(t) represents the area (in square meters) of the algae colony after t minutes.

so, we get the expression for Z(t) as:

Z(t) = A(M(t))                        .........(since r = M(t))

Z(t) = π × ((10/3)t)²

Z(t) = π(100/9)t²

Therefore, the required formula is: Z(t) = (100/9)πt²

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The complete question is:

The area A(r) (in square meters) of a circular algae colony with radius r meters is given by A(r) = πr². The radius M(t) (in meters) after t minutes is given by M(t)=(10/3)t. Write a formula for the area Z(t) (in square meters) of the algae colony after t minutes.

We'd be able to fit 4 cabinets total if there is no space in between them.

Compared to multiplication, division is the opposite. When you divide 12 into three equal groups, you get four in each group if three groups of four add up to 12, which they do when you multiply.The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.

Given that: Carl heinrich has lateral filing cabinets that need to be placed along 1 wall of a storage closet.  that the filing cabinets are each 1 and a half feet wide, and the wall is 6 feet long

We know that we have a total of 18 feet that we want to break up so to speak amongst 1 and a half foot, so 1.5 foot wide cabinets.

So we will take 6 and divide that by 1.5 and we get a value of exactly 4 point. So double checking that when we have 4 times 1.5,we get a value of exactly 6 point, so you'd be able to fit 6 or part me we'd be able to fit 4 cabinets total if there is no space in between them.

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Answer:

The dimensions of the rectangle = 60ft by 107ft

Where 60 ft = Width of the playing field

107ft = Length of the playing field

Step-by-step explanation:

A playing field is Rectangular is shape, hence,

The formula for Perimeter of a rectangle = 2(L + W)

P = 334 ft

L = 47 + W

W = W

Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

334 = 2(47 + 2W)

334 = 94 + 4W

334 - 94 = 4W

240 = 4W

W = 240/4

W = 60

There fore, the width of this playing field = 60 ft

The length of this rectangle is calculated as:

47 + W

47 + 60

= 107 ft

The length of this playing field = 107ft

Therefore the dimensions of the rectangle = 60ft by 107ft

Answer: I’m pretty sure it would be 14

Step-by-step explanation:

Answer:

Problem 1 all you need to do is move the decimal place over four times as it says in your text book. Start out by making the decimal point visible by doing this 58,927. right there then move it over four times like this 5,892.7 one 589.27 two 58.927 three 5.8927 four. When they say move it over four places that's what it means. Now you should be able to do the rest on your own. GOOD LUCK!!!

The best and most restrictive description of that quadrilateral is Rhombus.

The line segment joining the parallelogram's non-adjacent vertices is known as the diagonal. A parallelogram has two diagonals, and depending on the parameters and dimensions given, it is possible to determine the length of the diagonals using a variety of formulas. In this post, let's learn more about a parallelogram's diagonals.

Given: if the diagonals of a parallelogram are perpendicular then what would be the best and most restrictive description of that quadrilateral?

ABCD is Parallelogram . E is midpoint

As Since the diagonals of the parallelogram bisect each other.

BE and DE are congruent.

We have given that all four angles at E are 90 degrees. So, they are congruent.

Therefore, triangle ABE and ADE are congruent by side-angle-side.

Therefore, AB and AD are congruent.

Since opposite sides of the parallelogram are congruent.

AD and BC are congruent and AB and CD are congruent.

So, all four sides are congruent.

Hence,  The best and most restrictive description of that quadrilateral is Rhombus

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The most widely used method for rating attributes is the Likert scale.

The Likert scale is a popular method for measuring attitudes, opinions, and perceptions of individuals towards a particular attribute or construct.

It consists of a series of statements or items that respondents are asked to rate on a scale typically ranging from "Strongly Disagree" to "Strongly Agree" or from "Very Unsatisfied" to "Very Satisfied."

The scale can vary in the number of response options, but it usually has five or seven points.

The Likert scale provides a way to quantify subjective responses and allows researchers to gather data on people's preferences, opinions, and perceptions.

It is widely used in various fields such as psychology, social sciences, market research, and customer satisfaction surveys.

Therefore, the Likert scale is the most widely used method for rating attributes.

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The answer is: A) seasonal variations, Seasonal variations in time-series data refer to regularly repeating upward or downward movements tied to recurring events. hese patterns occur over fixed periods, such as daily, weekly, monthly, or yearly cycles.

In time-series data, seasonal variations are regularly repeating upward or downward movements in series values that can be tied to recurring events.

These variations occur over a fixed period, such as daily, weekly, monthly, or yearly cycles. Seasonal variations can be observed in various phenomena, including sales data, weather patterns, and economic indicators.

By identifying and analyzing seasonal variations, patterns and trends can be detected, helping to make predictions and informed decisions.

Seasonal variations are commonly represented using seasonal indices or seasonal adjustment techniques to remove the effects of seasonality and better understand the underlying trends in the data.

Understanding and accounting for seasonal variations are crucial for accurate forecasting and decision-making in various fields.

Hence, the correct option is (A) seasonal variations.

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The volume of a cylinder is 50πx

We know that

The volume (V) of a cylinder is,

V = πr²h

where

r is the radius of the cylinder

h is the height of the cylinder

From the question, we have

a cylinder with diameter 10 and height of 2x.

r = 10/2 =5

V = πr²h

V = π*5²*2x

V = 50πx

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Answer:

you are correct

Step-by-step explanation:

Answer:x=-5

Step-by-step explanation:

Thus, the correct Percent response is B) 79%.

Percentage refers to a portion of every hundred. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, it is frequently shown using the percent sign, "%".

If you have 100 apples and distribute 10 of them, for instance, you have distributed 10% of your total apple supply.

We deduct Ms. Yamato's deductions from her gross income to determine her take-home pay:

$2644 - $548.30 = $2095.702.

By dividing her take-home pay by her gross pay and multiplying the result by 100%, we can determine what proportion of her gross pay is taken home:

($2095.70 / $2644) * 100% = 79%

Thus, the correct response is B) 79%.

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Answer:

9l^5n-8l-3<15

Step-by-step explanation:

The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).

Curve A represents an exponential growth pattern. It starts with a relatively slow increase but gradually accelerates over time. This type of growth is commonly observed in natural phenomena like population growth or the spread of infectious diseases.

Curve B depicts a logarithmic decay pattern. It begins with a steep decline but levels off over time. Logarithmic decay is often seen when a process initially experiences rapid changes but eventually approaches a stable state or limiting factor.

Curve C displays a linear growth trend. It shows a constant and consistent increase over time. Linear growth is characterized by a steady rate of change and is commonly observed in situations where there is a constant input or output.

Curve D represents a sigmoidal growth pattern. It starts with a slow initial growth, then experiences rapid expansion, and finally levels off. Sigmoidal growth is prevalent in various fields, such as biology, economics, and technology, where a system initially has limited resources, undergoes rapid development, and eventually reaches a saturation point.

The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).

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Answer:

y=mx+b

Step-by-step explanation:

subtract -3-(-1)=slope

put the slope where it says m and then add the x next to it

And for b its -3 or -1