The diameter of a circle is 4 feet. What is the circle's circumference?

The cost of constructing the box will be = $81.77

Since the question gives us information about the rectangle,

so the area of the rectangle is shown by,

Area = 2 x (length + width)

So we have the area as,

Area = 2(lh + wh) +lw

(since the area per square meter is also given so we added l x w)

Since the cost of the base is = $5 per square meter and the cost of the sides is = $3 per square meter, so area in terms of the cost function,

⇒ C = 3 x 2(lh + wh) + 5 x l x w

⇒ C = 6(lh + wh) +5lw ---------equation 1

According to the question, the length of the rectangular container is twice that of the width of the container,

⇒ l = 2w

Substituting the new value of l in equation 1,

⇒ C = 6(2wh + wh) + 10 [tex]w^{2}[/tex]

⇒ C = 18wh + 10 [tex]w^{2}[/tex] ---------- equation 2

To calculate the volume of the rectangle,

V = length x width x height ( lwh )

substituting v = 10 and 2w = l,

2[tex]w^{2}[/tex]h = 10

h = [tex]\frac{5}{w^{2} }[/tex]

Substitute the value of h in equation 2,

⇒ C = 18w x [tex]\frac{5}{w^{2} }[/tex] + 10[tex]w^{2}[/tex]

⇒ C = [tex]\frac{90}{w}[/tex] + 10[tex]w^{2}[/tex] --------- equation 3

Differentiating the above equation we get,

⇒ C* = - [tex]\frac{90}{w^{2} }[/tex] + 20w

⇒ 20w = [tex]\frac{90}{w^{2} }[/tex]

Multiply both sides by [tex]w^{3}[/tex]

⇒ [tex]20w^{3}[/tex] = 90

⇒ [tex]w^{3}[/tex] = 4.5

w = 1.65

Put the value of w in equation 3,

⇒ C = [tex]\frac{90}{1.65}[/tex] + 10 x [tex]1.65^{2}[/tex]

⇒ C = 81.77

Therefore, The cost of constructing the box will be = $81.77

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The two most vital body systems that are checked when performing the steps of checking the ABCs are the Circulatory and Respiratory Systems.

Blood veins in the circulatory system are responsible for moving blood away from and back toward the heart. Arteries carry blood out from the heart while veins carry it back. Oxygen, nutrients, and hormones are delivered to cells by the circulatory system, which also eliminates wastes like carbon dioxide.

The respiratory system refers to the network of tissues and organs in your body that facilitates breathing. It includes your lungs, blood vessels, and airways. The lungs' moving muscles are a part of the respiratory system. Together, these elements circulate oxygen throughout the body and remove waste gases like carbon dioxide.

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To find the scale factor of dilation we need to know the coordinated and centre point of dilation

The scale factor of a dilation is a number that represents the relationship between the lengths of objects before and after the dilation. It is equal to the ratio of the lengths of corresponding sides after and before the dilation.

To find the scale factor of a dilation, it is required to know the coordinates of the two points that the dilation acts on. The scale factor is then given by the ratio of the distances between the two points after and before the dilation. We locate the centre of the dilatation, and then we measure the distances between this centre and various points on the preimage and the final image. Then the scale factor is determined by the ratio of these distances.

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85.6% of original sketch could still be seen when it was cropped into the frame.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless connection between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimal. The symbol "%" is commonly written after the integer to indicate percentages.

by using the area of rectangle which is lenght x width

The area of a sketch ( dimensions are 8.5 inch x 11 inch ) = 93.5 square inches

The area of a sketch ( dimensions are 8 inch x 10 inch ) = 80 square inches

Now, (80/93.5) 100 85.6% of original sketch would be contained in the frame.

85.6% of original sketch could still be seen when it was cropped into the frame.

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The solution set is n ≥ 4.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.

We have the inequality,

4n -1  ≥ 15

To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

4n - 1 +1  ≥ 15 +1

4n ≥ 16

n ≥ 4.

And N = 3, inequality does not hold.

Therefore, The solution set is n ≥ 4.

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True, When the demand is greater than the capacity, impossible situations can arise.

Demand is outlined as the quantity of a good that buyers are willing and able to purchase at a specific price. This is an if...then statement, thus if the price is $1,000, the quantity demanded is 60, and so on. Therefore, it is a function with the form y = f(x), where x now represents price and y represents quantity.

A linear demand equation is defined as Q = a - bP in standard form. In other words, pricing influences the quantity demanded. The price equation, often known as the inverse demand equation or price equation, treats the price as a function f of the amount demanded: P = f. (Q). Simply solve for P from the demand equation to obtain the inverse demand equation.

So, the answer is true that when the demand is greater than the capacity, impossible situations can arise.

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Answer: Yes

Step-by-step explanation:

There are 676 sets of unique first and last initials, there being 26 for the first and 26 for the last. With 700 people, there are not enough unique combinations for everyone to be different. Therefore, in a group of 700 people, there will always be two who have a matching first and last initial.

The monthly prescription of $850, and the 90% coverage for the first $600 and 80% coverage for the prescriptions over $600 indicates that the total out-of-pocket by the family for one month is $110.

The correct option is option C. $110

An out-of-pocket expense is an health expense incurred by an insured person, for which the insured person is not reimbursed.

The monthly premium for the family's health insurance plan = $55

The coverage offered by the health insurance for the first $600 = 90%

The coverage for prescription above $600 = 80%

The expected number of prescriptions by the family per month = 6

The total cost of the family's monthly prescription = $850

Therefore, the out-of-pocket expense by the family for one month are;

Out-of-pocket prescription for the first $600 = $600 - 90% × $600 = $60

Amount of prescription over $600 = $850 - $600 = $250

Out-of-pocket for prescription above $600 = $250 - 80% × $250 = $50

The correct option is therefore, option C $110

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Answer:

The correct answer is D: $165

Step-by-step explanation:

The 100 feet per second rate at which rocket is rising vertically upwards and the 50 feet distance of the observation position from the launch, indicates;

A) The height of the rocket after exactly 2 seconds is 200 feet

B) The rate of the angular motion at which to scan upwards to keep track of the rocket is 2/17 radians per second

Angular motion is a circular motion of an object about a fixed axis, described in radians per second.

The rate at which the rocket is rising up in the air = 100 feet per second

The horizontal distance from the point of launch to the observer = 50 feet

The time at which the height of the rocket is required = 2 seconds

A) The height of the rocket after 2 seconds, h = 2 s × 100 ft/s = 200 ft

B) The angle of elevation of the line of sight to the rocket = θ

tan(θ) = h/50

sec²(θ)·(dθ/dt) = (1/50)·(dh/dt)

(dθ/dt) = (1/50) × (dh/dt)/sec²(θ)  = (1/50)×(dh/dt)×(cos²(θ))

At time, t = 2 seconds, the height of the rocket = 200 feet

Therefore;

tan(θ) = 200/50 = 4

θ = arctan(4)

dh/dt = The vertical velocity of the rocket = 100 ft/s

(dθ/dt) = (1/50)× 100 ×(cos²(arctan(4))) = 2/17

The rate at which the eyes is scanning upwards is 2/17 radians per second

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One time SAS iterates through the data step.

What are iterations in SAS?

You can repeatedly run a series of statements between DO and END depending on the value of an index variable by using the iterative DO statement. The iterative DO loop can have many different shapes. You can use a SAS data set to conditionally select data by using the DO UNTIL and DO WHILE instructions.

Here, we have

Given jenny 3.95 odun 3.90 Caleb 3.25 bros 2.98; run

We have to calculate how many times SAS iterates through the data step.

We concluded from a given condition that Since there is no loop check condition used so the program will execute one time sequentially.

Hence, One time SAS iterates through the data step.

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Answer:

imaginary number

Step-by-step explanation:

i means imaginary in math

Answer:

The equations 3x+y=-3 and 3x+y=-4 are both linear equations in the standard form. The standard form of a linear equation is ax+by=c, where a and b are coefficients, and c is the constant term.

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

90 = 4.5% of x

90 = 0.045x

x = 90/0.045

x = 2000

Answer: 2000

Answer:

Step-by-step explanation:

IKRRRRRRRRRR

Math is hard because it can take alot of processes to solve problems.  Theres alot of unique stuff, so it takes alot more practice than other subjects.  To get better at math, you gotta practice.

By using unitary method, it can be calculated that

For acceleration of 0.9 m/[tex]s^2[/tex], force applied is [tex]\frac{10}{0.25}\times 0.9[/tex] N = 36 N

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here, Unitary method will be used

For acceleration of 0.25 m/[tex]s^2[/tex], force applied is 10 N

For acceleration of 1 m/[tex]s^2[/tex], force applied is [tex]\frac{10}{0.25}[/tex] N

For acceleration of 0.9 m/[tex]s^2[/tex], force applied is [tex]\frac{10}{0.25}\times 0.9[/tex] N = 36 N

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A parallel equation is an equation that is composed of two or more equations that are related to each other.

An example of a parallel equation is:   x + y = 4  And x - y = 2  In this equation, x and y are related to each other by an addition and a subtraction. The two equations have the same value on each side, 4 and 2, so they are parallel equations. To solve this equation, we need to find the value of x and y. To do this, we add the two equations together, giving us:  2x = 6. Therefore, x = 3. To find y, we can plug 3 in for x in either equation and solve for y, giving us y = 1. Therefore, the solution for this parallel equation is x = 3 and y = 1.

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Total degree of freedom should be known to determine the critical values for an independent sample t test.

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.

An independent t-test must be performed, and the following is required: a single categorical variable with two levels and groups that is independent. a single ongoing dependent variable.

For instance, the number of degrees of freedom to be employed in computations would be n - 1 if the sample size on a chi-square test was 'n'. to figure out the degrees of freedom for an N=9 sample size. 9 less 1 equals 8 (df=9-1=8).

Hence we get the required answer.

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Check whether a polynomial function is an odd-degree or even-degree function, as well as whether the leading coefficient is positive or negative, before attempting to determine its end behavior.

Given,

The polynomial end behavior;-

The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f. In other words, if we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ), the end behavior of a function represents the trend of the graph.

Here,

Look at the polynomial function's leading term to identify its end behavior. The leading term will dominate the graph since it has the largest power and will thus increase much more quickly than the other terms as x gets very large or very small.

That is,

Check the function's odd- or even-degree status and the leading coefficient's positive or negative value before attempting to forecast the polynomial function's end behavior.

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Answer:

it's just the multiple of it. first row is 21. second row is 8

Step-by-step explanation:

it's just 7, 7×2, 7×3

4,4×2,4×3

You can use ratios to solve the table

you know that for every 7 cups of sugar there are 4 cups of milk

The next column gives 14 cups of sugar but an unknown amount of milk

14 is 2 times 7, so the amount of milk would be 4 times 2, or 8 cups

The same logic can be applied for the rest

12 is 3 times 4, so the amount of sugar in column 3 would be 3 times 7

and so on and so forth

the number of arrangements if a and m come in a unit is 720.

What is the combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The number of k-combinations for a set with n components

The word is the mailbox.

So it contains 7 words and the total number of arrangements will be 7! = 5040.

And if a and m comes in a unit then: the number of the arrangements will be 6! = 720.

Hence the number of arrangements if a and m come in a unit is 720.

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Answer:

If a scatter plot shows a linear association, then there is a line that describes the relationship between the two measured quantities reasonably well. This means that there is a clear pattern in the data, and that the data points tend to follow a straight line when plotted on a graph. This does not necessarily mean that there is a line that passes through all of the plotted data points or that there is a tendency for relatively high values for one measured quantity to be paired with relatively high values for the other measured quantity.

Step-by-step explanation:

Answer:

A scatter plot shows a linear association.

Step-by-step explanation:

The term splitting is one of the methods used in factoring the quadratic expression.

We know that the general form of quadratic equation is ax² + bx + c = 0

The term splitting is one of the methods used in factoring the quadratic equation. When we can not square the first and the last term of the quadratic expression then we can use the method of splitting of the middle term. In this method we have to rewrite the middle term of the quadratic expression as the sum or difference of the two terms (the first and the last term).

For example, to factor a quadratic expression 4x² + 8x - 5

first find the product of the first and last term: 4 x (-5) = -20

Now, find the factors of -20 in such way that addition or subtraction of that factors is the middle term (8x) (Splitting of middle term):

10 x (-2) = -20 and 10 - 2 = 8

Now we write the quadratic expression using the sum of the two new factors, including the proper signs.  

4x² + 10x - 2x - 5

Now,factor each pair by finding common factors.  

2x( 2x + 5) - 1(2x + 5)

Now, factor out the common binomials.  

(2x - 1) ( 2x + 5)

Therefore, the quadratic factorization uses splitting of middle term wtere the middle term of quadratic expresseion is splitted in to two factors.

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The area of the figure illustrated is 375 inches²

It should be noted that the area of a shape can be calculated by multiplying the length by the width.

In this situation illustrated, we are given there dimensions as h = 19 inches, l = 25 inches, and w = 15 inches.

In this case, the area will be:

= Length × Worth

= 25 × 15

= 375 inches²

The area is 375 inches²

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Answer: 3

Step-by-step explanation: 6x⋅13⋅9x⋅136⋅13⋅9⋅13

The percent error of the measurement, to the nearest tenth of a percent is: 1.4%.

Percent error can be described as the disparity between the value of what was estimated and the actual value, which is compared to the actual value as expressed in percentage.

The formula for calculating the percent error is:

Percent error = |measured value - actual value| / actual value × 100%.

We have the following given:

Actual length = 7.4 inches

Measured length = 7.3 inches

Therefore:

Percent error = |7.3 - 7.4| / 7.4 × 100%.

= 0.1/7.4 × 100

= 1.4%

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A bisector is a line which is constructed in such a way as to divide a given line segment or a measure of angle into two equal parts/ degrees. Thus the required proof with an explanation are given below:

A constructed line which divides a given line segment, or measure of angle into two equal parts is referred to as a bisector. It is majorly at a right angle to the line segment to be divided.

STATEMENT                                  REASON  

1. LN is a bisector of <MLO                       Given

2. LM ≅ LO                                                        Given

3. <MLN ≅ <NLO                                   Definition of angle bisector

4. LN ≅  LN                                            Reflexive property

5. <LMN  ≅ <LON                                  Symmetric property

6. ΔLMN  ≅ ΔLON                                 CPCTC

With this statements and reasons, it can thus be concluded that;              ΔLMN  ≅ ΔLON    

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The height of the sunflower is got increased by 15% will be 92 inches.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

Maya established sunflowers locally garden. During her last visit to the nursery, the plants were 80 inches tall. Today, Maya viewed them as 15% taller.

The length of the sunflower will be given as,

⇒ 80 x (1 + 0.15)

Simplify the expression, then we have

⇒ 80 x (1 + 0.15)

⇒ 80 x 1.15

⇒ 92 inches

The height of the sunflower is got increased by 15% will be 92 inches.

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If the angle C is 15 degree and angle D is complementary then the measure of angle D is 75 degree .

In the question ,

it is given that ,

the measure of angle C is = 15 degree  ,

we have to find the measure of angle D in the question,

and the angle C and angle D are complementary ,

that means ; angle C + angle D = 90°

Substituting the values ,

we get ,

15° + ∠D = 90°

subtracting 15° from both the sides ,

we get ,

∠D = 90° - 15°

Simplifying  further ,

we get,

∠D = 75°

Therefore , the measure of angle D is = 75° .

The given question is incomplete , the complete question is

If Angle C = 15 degrees and Angle D is complementary to Angle C, what is the measure of Angle D ?

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My friend is multiplied as [tex](8\times3)\times(0.1\times0.1)(8\times 3)(0.1\times0.1)[/tex] thus he was multiplying 0.1 with 0.1.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied.

As per the given,

(8 × 3) × (0.1 × 0.1) × (8 × 3) × (0.1 × 0.1)

Since the only decimals in the above expression are 0.1 and 0.1.

Thus, 0.1 x 0.1 = 0.01

So, he was multiplying 0.1 with 0.1.

Hence "My friend was multiplying 0.1 with 0.1 because his multiplicand is  (8 × 3) × (0.1 × 0.1) × (8 × 3) × (0.1 × 0.1)".

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