The signal from a certain satellite takes 0.06384 seconds to reach Earth. Estimate using scientific notation:

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

About 80 necklaces have more than 28 beads. Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.

P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)

P(x > 28) = P(x - 24 / 4 > 1)

P(x > 28) = 1 - ∅1

P(x > 28) = 1 - 0.8413

P(x > 28) = 0.1587

Multiply both sides by 500, then we have

500 P(x > 28) = 0.1587 × 500

500 P(x > 28) = 79.35

500 P(x > 28) ≈ 80

About 80 necklaces have more than 28 beads. Then the correct option is C.

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The missing options are given below.

A. About 24 devices have more than 28 beads.

B. About 48 necklaces have more than 28 beads.

C. About 80 necklaces have more than 28 beads.

D. About 96 necklaces have more than 28 beads.

Answer:

25/3 ft/s

Step-by-step explanation:

Height of pole , h=15 ft

Height of man, h'=6 ft

Let BD=x

BE=y

DE=BE-BD=y-x

All right triangles are similar

When two triangles are similar then the ratio of their corresponding sides are equal.

Therefore,

\(\frac{AB}{CD}=\frac{BE}{DE}\)

\(\frac{15}{6}=\frac{y}{y-x}\)

\(\frac{5}{2}=\frac{y}{y-x}\)

\(5y-5x=2y\)

\(5y-2y=5x\)

\(3y=5x\)

\(y=\frac{5}{3}x\)

Differentiate w.r.t t

\(\frac{dy}{dt}=\frac{5}{3}\frac{dx}{dt}\)

We have dx/dt=5ft/s

Using the value

\(\frac{dy}{dt}=\frac{5}{3}(5)=\frac{25}{3}ft/s\)

Hence, the tip of  his shadow moving  with a speed 25/3 ft/s when he is 45 feet from the pole.

Answer:

The tip pf the shadow is moving with speed 25/3 ft/s.

Step-by-step explanation:

height of pole = 15 ft

height of man = 6 ft

x = 45 ft

According to the diagram, dx/dt = 5 ft/s.

Now

\(\frac{y-x}{y}=\frac{6}{15}\\\\15 y - 15 x = 6 y \\\\y = \frac{5}{3} x\\\\\frac{dy}{dt} = \frac{5}{3}\frac{dx}{dt}\\\\\frac{dy}{dt}=\frac{5}{3}\times 5 =\frac{25}{3} ft/s\)

Answer: b

Step-by-step explanation:

Answer:

0.5555 = 55.55% probability that Max will get the job.

Step-by-step explanation:

What is the probability that Max will get the job?

The sum of all probabilities is 100% = 1, so, considering Max's probability as x:

\(x + \frac{1}{3} + \frac{1}{9} = 1\)

\(\frac{9x + 3 + 1}{9} = 1\)

\(9x + 4 = 9\)

\(9x = 5\)

\(x = \frac{5}{9}\)

\(x = 0.5555\)

0.5555 = 55.55% probability that Max will get the job.

The max has probability of getting this job is x= 0.5555 and 55.55%

Suppose that ;

Max has probability of getting this job is = x

and other two companies have probability to get job is \(\frac{1}{3} or \frac{1}{9}\).

Sum of the probability have bid a job is 100% which is equal to 1.

According to given question ;

Sum of all the companies having probability to get the job = 1

\(x + \frac{1}{3} + \frac{1}{9} = 1\)

\(\frac{9.x+1.3+1.1}{9} = 1\\9x+3+1 = 9.1\\9x+4 =9\\9x = 9-4\\9x = 5\\x = \frac{5}{9}\)

x = 0.5555

The Max has probability of getting this job is x= 0.5555 or 55.55%

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To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Using a proportional relationship, it is found that the area is of 637 square inches when the radius is of 7 inches.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

\(y = kx\)

In which k is the constant of proportionality.

In this problem, the surface area of a balloon varies directly as the square of mits radius, hence:

\(S = kr^2\)

The area is 325 in² when the radius is 5 in, hence we use it to find r.

\(S = kr^2\)

\(325 = 25k\)

\(k = 13\)

Hence:

\(S = 13r^2\)

When the radius is of r = 7 in, the area in square inches is given by:

\(S = 13r^2 = 13 \times 49 = 637\)

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Answer:

41

Step-by-step explanation:

i think i dont know that much

Answer:

which questions do you want to ask

Step-by-step explanation:

sorry but I didn't know

The function of the arch window is a quadratic function, and the length of the base of the window is 3.5 units

The function of the arch window is given as:

h(x) = -4x² + 10x - 6

Set the function to 0

-4x² + 10x - 6 = 0

Divide through by -2

2x² - 5x + 3 = 0

Expand the function

2x² + x - 6x + 3 = 0

Factorize the function

x(2x + 1) - 3(2x + 1) = 0

Factor out 2x + 1

(x - 3)(2x + 1) = 0

Expand

x - 3 = 0 or 2x + 1 = 0

Solve for x

x = 3 or x = -0.5

Since, the base of the window is on the x-axis.

It means that the difference between the x-intercepts represents the length of the window base.

So, we have:

Base = |-0.5 - 3|

Evaluate

Base = 3.5

Hence, the length of the base of the window is 3.5 units

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Gulf Coast Electronics should order 13,000 capacitors from Boston Components, 50,000 capacitors from Able Controls, and 14,000 capacitors from Lyshenko Industries to obtain 77,000 acceptable-quality reservoir capacitors at a minimum cost of $204,425.

To minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors, we can formulate the following linear program:

Objective function:

Minimize: 2.35B + 2.6A + 2.85L

Subject to:

B + A + L = 77000 (total number of capacitors required)

B ≥ 0.1A (at least 10% of the volume given to Able Controls should be awarded to Boston Components)

L ≥ 29500 (at least 29,500 capacitors should be ordered from Lyshenko)

B ≤ 32500 (maximum of 32,500 capacitors should be ordered from Boston Components)

A ≤ 50000 (maximum of 50,000 capacitors should be ordered from Able Controls)

L ≤ 48500 (maximum of 48,500 capacitors should be ordered from Lyshenko)

0 ≤ B, A, L (non-negativity constraints)

Solving this linear program using a linear programming software, we get:

B = 13000

A = 50000

L = 14000

Correct Question :

Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, has inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.4% of capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston Components’ defective rate to be 12%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 77000 acceptable-quality capacitors to use in its electronic devices. To ensure that Boston Components will receive some of the contract, management specified that the volume of reservoir capacitors awarded to Boston Components must be at least 10% of the volume given to Able Controls. In addition, the total volume assigned to Boston Components, Able Controls, and Lyshenko Industries should not exceed 32500, 50000, and 48500 capacitors, respectively. Because of Gulf Coast’s long-term relationship with Lyshenko Industries, management also specified that at least 29500 reports should be ordered from Lyshenko. The cost per capacitor is $2.35 for Boston Components, $2.6 for Able Controls, and $2.85 for Lyshenko Industries.

Formulate and solve a linear program for determining how many reservoir capacitors should be ordered from each supplier to minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. Enter "0" if your answer is zero. If the constant is "1" it must be entered in the box.

Let B = number of capacitors ordered from Boston Components

Let A = number of capacitors ordered from Able Controls

Let L = number of capacitors ordered from Lyshenko Industries

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Answer:

a-b+8=42
a-b=42-8
a-b=36
espero t sirva

Answer:

b=34

Step-by-step explanation:

Answer:

x = 81

Step-by-step explanation:

I assume you meant 3x = 243

243/3 = 81

The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

A division is a process of splitting a specific amount into equal parts.

We have to find 3x³-2x²+7x+9 divided by x²-3x

3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.

The steps to solve this are given below.

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend (if present).

Step 5: Repeat the same process.

Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

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The limits of the function for this problem are given as follows:

In this problem, we are given the graph of the function, hence the limit is given by the value of the function as the function approaches x = a, not the actual numeric value of the function at x = a.

At x = -2, we have that:

As the lateral limits are equal, lim x -> -2 f(x) = 3.

At x = 1, we have that:

As the lateral limits are different, the lim x -> 1 f(x) does not exist.

At x = 4, we have that:

As the lateral limits are equal, lim x -> 4 f(x) = -3.

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Answer:

60/15

Step-by-step explanation:

A fraction is simply a portion of a whole number, so 1/15 is the number 1 split into fifteen equal parts, therefore 15/15 = 1.

So 4 as a fraction with fifteen as the denominator would be 15/15 x 4, which equals 60/15.

The translated equation is g(x) = (x + 4)^2 - 4

For any function f(x), we define a horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left.

If N < 0, the translation is to the right.

Here we want to write a translation of a(x) = x^2 - 4 four units to the left, then we can just write:

g(x) = a(x + 4)

g(x) = (x + 4)^2 - 4

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Answer:

376.8 ft²

Step-by-step explanation:

that is the correct answer for you friend

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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Answer:

m = p/5 - 10

Step-by-step explanation:

Divide both sides by 5

P/5 = m + 10

Subtract 10 from both sides.

P/5 - 10 = m

Switch sides.

m = p/5 - 10

with help from yk2neat

The answer choice which best represents the positive exponential growth as required from the task content is; y=2(8/5)^x.

As evident from the standard form equation of exponential relations; we have that;

y = a (b)^x.

By convention, an exponential growth factor is one is which case, the multiplying factor, b is greater than 1.

On this notes the answer choice which represents a positive exponential growth as required is; y=2(8/5)^x.

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Answer:

Step-by-step explanation:

If we let s, p, c represent the cost of cleaning the shirts, pants, and coats, respectively, the problem information lets us write three equations:

  3s +1p +0c = 11.46

  5s +2p +1c = 27.92

  5s +0p +1c = 19.94

__

A variety of methods and tools are available for solving these equations. We can do it "by hand" using elimination and substitution.

Subtracting the 3rd equation from the 2nd, we get ...

  (5s +2p +c) -(5s +c) = (27.92) -(19.94)

  2p = 7.98

  p = 7.98/2 = 3.99

Substituting this value into the first equation gives ...

  3s +1(3.99) = 11.46

  3s = 7.47 . . . . . . . . . . subtract 3.99

  s = 7.47/3 = 2.49

Substituting this value into the last equation gives ...

  5(2.49) +c = 19.94

  c = 7.49 . . . . . . . . . . . subtract 12.45

Rachel was charged ...

  $2.49 for each shirt

  $3.99 for each pair of slacks

  $7.49 for each sports coat

Answer:8.72 I think

Step-by-step explanation:

Answer:

Since U is the midpoint of XY,\(XU = UY\\or, 6x-7 = 4x+9\\or, 6x - 4x = 7+9\\or, 2x = 16\\or, x = 8\\XY = XU +UY = 6x - 7 + 4x +9 = 10x+2 = 10(8) +2 = 82\)

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

For instance: The LCM of 2 and 3 is 6.

Given:

Jessica volunteers library every 6 days,

Jessica's veterinarian's office, every 10 days,

So for her visit to both, the place takes the LCM of 6 and 10,

LCM of 6 and 10 = 30,

Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.

Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.

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Answer:June 30th

Step-by-step explanation:

So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.

Answer:

21 rabbits

Step-by-step explanation:

⇒ Given:

There are 126 animals at the shelter.

Of the animals, 1/3 are cats.

Three fourths of the remaining animals are dogs.

To Find:

How many of the animals are rabbits? Show your work.

Solve:

Since 1/3 are cats and the total is 126.

Then, 1/3 of 126 is 42.          {1/3 × 126 = 42}

Therefore,  there are 42 cats.

3/4 of the remaining animals, which is 84 are dogs.

Which 3/4 of 84 is 63.     { 3/4 ×  84 = 63 }

So there are 63 dogs.

Now adding dogs and cats together:

63 + 42 =  105 animals.

126 {Total} - 105{cat and cats} = 21 {rabbits}

Hence, there are 21 rabbits.

Kavinsky

Answer:

3x+1=3x+1

0x=0

no solution

3x+1=3x+2

0×=1

no solution

3x+1=2x+1

x=0

X IS THE SOLUTION BTW

Brayden's total earning by walking lap around a track is $35, if he walks 2+1/2 = 5/2 laps per day for 7 days.

Earnings are the net benefits of a corporation's operation. Earnings is also the amount on which corporate tax is due. For an analysis of specific aspects of corporate operations several more specific terms are used as EBIT and EBITDA. Many alternative terms for earnings are in common use, such as income and profit.

here, we have,

Per day walking of brayden = 5/2 laps

7 days walking of brayden

= 5/2 × 7

= 35/2 laps

As per the question statement he earns $1 per lap if he walk less than 16 laps and $2 per lap if hi walks 16 or more lap.

Since the total walking of brayden is more than 16 laps, so he will earn at the rate of $2 per lap.

So total earning will be,

= 2× 35/2

= $35

Hence, Brayden's total earning by walking lap around a track is $35, if he walks 2+1/2 = 5/2 laps per day for 7 days.

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Answer:

14.5 laps



There is an even number of data points. So the median is the mean of the two middle numbers.