Find f(12) = 3/4 x + 2

Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

Answer:

\(\displaystyle \frac{4}{3}\text{cm}^2/\text{min}\)

Step-by-step explanation:

Given

\(\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}\)

Solution

(1) Find the rate of the cube's edge length with respect to time at s=30:

\(\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}\)

(2) Find the rate of the cube's surface area with respect to time at s=30:

\(\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}\)

Therefore, the surface area increases when the length of an edge is 30 cm at a rate of \(\displaystyle \frac{4}{3}\text{cm}^2/\text{min}\).

x≥16 or x≤−8

Let D be common difference of A.P. where D ≠ 0 then

b−a=D, c−a=2D, c−d=−D, b−d=−2D etc.

Thus, the given equation can be written as

−2D+xD² +(2D)³ =2(−3D) + (−2D)² + (−D)³

Since D≠0, we can cancel D and arranging as a quadratic in D, we have

9D²+ (x−4)D + 4=0

Since Dis real ∴Δ≥0 or (x−4) ²−144 ≥0 or (x−16) (x+8) ≥ 0

∵p² −Q² =(P+Q) (P−Q)

∴x≤−8 or x≥16.

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The numbers x for which ||v + w|| = 2 are 16 and -167.

When v = 6i - 4j and w = xi + 6j, the numbers x for which ||v + w|| = 2 are given by the expression "||v + w||² = 4".

Explanation: It is known that ||u||² = u·u for any vector u. Thus,||v + w||² = (v + w)·(v + w) = v·v + 2v·w + w·w

Substituting the given values of v and w, we have

||v + w||² = (6i - 4j)·(6i - 4j) + 2(6i - 4j)·(xi + 6j) + (xi + 6j)·(xi + 6j)= 36i·i - 48i·j - 48j·i + 16j·j + 12xi·i + 72xi·j + 72j·i + 36j·j + x²i·i + 12xi·j + 36j·j= (36 + x²)i·i + (144 + 12x)j·i + (72 + 72x)i·j + (52)j·j

The above equation needs to be solved in order to get the values of x such that

||v + w|| = 2:||v + w||² = 4 ⇔ (36 + x²) + (144 + 12x) + 2(72 + 72x) + 52 = 4 ⇔ x² + 86x - 2672 = 0

The solutions for the above quadratic equation are x = 16 and x = -167.

Therefore, the numbers x for which ||v + w|| = 2 are 16 and -167.

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Answer:55.56

Step-by-step explanation:

Answer:

The volume of the Pyramid is 318.3 cubic foot

Step-by-step explanation:

Here, we want to calculate the volume of the Pyramid

Mathematically, the volume of the pyramid is the area of the square base multiplied by the height of the Pyramid.

Since the perimeter is 15.8 and the formula for the perimeter is 4L

we can get the length of the side of the square

The length of the side will be 15.8/4 = 3.95

The area of the square base is thus equal to;

3.95^2 = 15.6025 square feet

Now we can multiply this by the height

Mathematically, that will be;

15.6025 * 20.4 = 318.291 which is approximately 318.3 cubic foot

Answer:

106.1 ft

Step-by-step explanation:

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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Answer:

While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.

Step-by-step explanation:

Answer:

sin(θ)  =  -6/10  =  -0.60 and tan(θ)  =  -6/8  =  -0.75.

Step-by-step explanation:

Since  cos(θ) = adjacent / hypotenuse  in a right triangle andsince cos(θ) = 0.8  =  8/10   --->   adjacent = 8  and  hypotenuse  =  10.Using the Pythagorean Theorem, opposite = +6  or  -6, depending upon the quadrant.Since tan(θ) < 0, the triangle is found in either the second quadrant or the fourth quadrant.Since cos(θ) > 0, the triangle is found in either the first quadrant or the fourth quadrant.Therefore, it must be in the fourth quadrant.In the fourth quadrant, sin(θ) < 0, making the opposite side -6.--->   sin(θ)  =  -6/10  =  -0.60.--->   tan(θ)  =  -6/8  =  -0.75.

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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The complete table of the function is as follows:

A function, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable

In simpler terms functions relates input and output.

Therefore, let's complete the function in the table.

Hence,

f(x) = - 2x² + 1

when x = -4

f(-4) = - 31

when x = -2

f(-2) = - 2(-2)² + 1 = -8 + 1 = - 7

when x = 0

f(0) = - 2(0)² + 1 = 1

when x = 1

f(1) = - 2(1)² + 1 = - 2 + 1 = - 1

when x = 3

f(3) = - 2(3)² + 1 = -2(9) + 1 = - 18 + 1 = - 17

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Answer:

-0.9090... can be written as \(\frac{10}{11}\).

Explanation:

Any repeating decimal can be written as a fraction by dividing the section of the pattern to be repeated by 9's.

We can start by listing out

0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now. we let this series be equal to x, that is

\(x\) = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now, we'll multiply both sides by 100 .

\(100x\) = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...

Then, subtract the 1st equation from the second like so:

\(100x\) = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

\(-x\) = - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...

And we end up with this:

\(99x=90\)

Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.

\(x=\frac{90}{99}\)

Which can be reduced and simplified to

\(x=\frac{10}{11}\)

Hope this helps!

Answer:

x + 5 = 5

Step-by-step explanation:

Solution doesn't change as the x in the equation is 0 and the answer totals as 5 due to 5 plus 0 being 5

The required sum of all the even k numbers which are less than 50 is given by 600.

the sum of even k numbers less than 50,

Set of even numbers less than 50.

Even numbers are those that can be divided by 2 without a remainder.

Set of even numbers less than 50 are,

{2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48}

Sum of the first k even numbers in this set.

k = n/2,

where n is the total number of even numbers in the set

here, n = 24

Use the formula for the sum of the first n natural numbers,

sum = (n /2 ) ( First term + last term )

Plugging in n = 24, we get,

⇒ sum = ( 24 / 2 ) ( 2 + 48 )

⇒ sum = 12 × (50)

⇒ sum = 600

Therefore, the sum of even k numbers less than 50 is equal to 600.

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The given question is incomplete, I answer the question in general according to my knowledge:

Find the sum of even k numbers less than 50?

Answer:

-25.6

Step-by-step explanation:

Hope this helped :>>>

Answer: 2/3

Step-by-step explanation: You take the 2 and divided it by 3 but your going to get a long decimal so you can put it into a fraction of 2/3

Answer:

2/3

Step-by-step explanation:

2 divided by 3

AU is 20 degrees and ∠QPA is 35 degrees and ∠ARU is 40 degrees are the unknown measures.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

In the given triangle A is the incenter for triangle PQR.

By observing figure, AR is angle bisector of angle URK.

So,   ∠ARU = ∠ARK = 40 degree

Since, incenter point is equidistant from the sides of a triangle.

AT = AU = AK = 20

Since, PA is angle bisector of angle QPU.

So,  ∠QPA = ∠UPA

3x + 2 = 4x - 9

Subtract 3x and add 2 on both sides of equation.

4x - 3x = 9 + 2

x = 11

Now plug in x value in ∠QPA=3(11)+2

=33+2=35 degrees.

Hence, Measures ∠ARU is 40 degrees, AU is 20 degrees and ∠QPA is 35 degrees.

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Answer:

9000 personas en total participaron de la carrera.

Step-by-step explanation:

En este caso, planteo las siguientes variables:

En una carrera participaron 7000 personas entre hombres y mujeres. Si han corrido 3000 mujeres, entonces se puede interpretar mediante la siguiente expresión:

3000 + x= 7000

Entonces, resolviendo se obtiene que participaron la siguiente cantidad de hombres:

x= 7000 - 3000

x= 4000

En la carrera también participaron 5000 personas entre mujeres y niños. Entonces se puede interpretar mediante la siguiente expresión:

3000 + y= 5000

Resolviendo se obtiene que participaron la siguiente cantidad de niños:

y= 5000 - 3000

y= 2000

Para calcular la cantidad de personas en total que participaron de la carrera, debes sumar la cantidad de hombres, mujeres y niños. Esto es:

4000 hombres + 3000 mujeres + 2000 niños= 9000 participantes

9000 personas en total participaron de la carrera.

Answer:

Below

Step-by-step explanation:

15 inches is 1 foot 3 inches     or   1 foot 3/12 foot = 1.25 ft

  so the ratio of the model to the Needle is

        1.25  : 605       if we multiply through by 4 to get whole numbers

          5 : 2420   is the scale

Answer:

∠QPS and ∠RSP

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(18a ^{2} (c−8)÷27ab(c−8)\)

For analyzing the number of tickets sold for different concerts at a single venue in the past month, all three measures, mean, median, and mode, can provide useful information depending on the specific question we want to answer.

- The mean is the average number of tickets sold per concert, and it can help us understand the overall attendance at the venue. However, the mean can be skewed by a few high or low outliers, especially if there are some very popular or unpopular concerts that attract significantly more or fewer attendees than usual.

- The median is the middle value in the dataset, and it can help us identify the typical or typical range of ticket sales for concerts at the venue. The median is less affected by outliers than the mean, so it can be a more robust indicator of central tendency.

- The mode is the most frequent value in the dataset, and it can help us identify the most popular or least popular concerts at the venue. However, if there are several concerts with similar attendance numbers, there may not be a clear mode, or there may be multiple modes.

Therefore, it depends on the research question at hand, and all three measures should be considered together to gain a more complete understanding of the ticket sales for different concerts at a single venue in the past month.

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Volume V = Base area x Height

. = 13x 7 x 5 /2 =

. = 455/2

. = 227.5

Then answer IS

OPTION D) 227.5 Cubic inches

Kyle’s monthly payments for the next two months will remain $1,200 is a false statement.

What is a loan contract?

A loan contract is an agreement between a lender and a borrower. It is one of the processes required to formalise a loan. It contains information such as covenants, duration of the repayments and guarantees.

What happens when there is delinquency?

A delinquency occurs when a payment is not made on the first day of the month. In this case, the buyer would divide the payment not received into a maximum of three instalments to be paid in the next consecutive monthly payments. As a result, in the event of a delinquency, Kyle's payment would be greater than $1200.

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Answer:

5/36

Step-by-step explanation:

There are 12 tiles

P( blue) = blue /total = 5/12

We put the first tile back so there are still 12 tiles in the bag

P(yellow) = yellow/total = 4/12 = 1/3

P( blue, yellow) = 5/12 * 1/3 = 5/36

Answer:

50

Step-by-step explanation:

Answer:

In The Function of Form, internationally acclaimed architect, Farshid Moussavi, provides a provocative critique of the historically opposing relationship between function and form to reveal the contradiction at the heart of modernism.

Step-by-step explanation:

Answer: A function of the form is a special relationship where each input has a single output like f(x)=x/2 its a function because of the input value

Step-by-step explanation:

a function can be solve this way

f(2)=1

f(16)=8

ect

hope this helps

Answer:

16

Step-by-step explanation:

6/3 = 2 postcards per day

2x8 = 16 postcards