Can someone help and explain it step by step, please!!

The required rate of change in radius of the sphere of change in volume 68ft^3/min is 0.11 ft/min.

We take his adjustment of distance ( 4 miles), and gap by the adjustment of the free factor, time ( 40 minutes or 23 hours). Separating the adjustment of distance by the adjustment of time, one acquires a typical speed, or pace of progress of distance regarding time, of 0.1 miles each moment (or 6 miles each hour).

We have,

Radius(r) = 7 feet, Change in volume = 68 ft^3/min.

To find : Rate of changing radius with respect to time.

So, V = 4πR^3/3

Differentiate w .r .t

dv/dt = 4π/3 d(r^3)/dt

dv/dt = 4π/3. 3r^2dr/dt

Putting the given values,

68 = (4×22×3)/(3 ×7) × (7)^2×dr/dt

dr/dt = 0.11 ft/min.

Thus, change in radius is 0.11 ft.min.

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Answer:

Bro dats 16

Step-by-step explanation:

8/2=4 (2+2)= 16

8 divided 2=4 2+2=4 4x4=16

Answer:

16

Step-by-step explanation:

8/2= 4

2+2=4

4x4+16

The completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.

Function is a type of relation, or rule, that maps one input to specific single output.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For this case, we're given the rule y = x + 8

The table given is:

 x     y

 2

 0

 4

Evaluating 'y' for the given values of x from the table according to the rule 'y  = x + 8', we get:

y = x + 8

y = 2 + 8

y =10

y = x + 8

y = 0 + 8

y =8

y = x + 8

y = 4 + 8

y =12

Thus, the completed table would be:

 x     y

 2     10

 0      8

 4      12

Thus, the completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.

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Answer:

it's a and c

luk closely

The lengths of RS and ST are 20 and 1 respectively

Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived. In the International System of Units system the base unit for length is the metre.

here, we have,

to solve for RS and ST;

The given parameters are:

RS= 2x+10, ST= x−4, RT= 21

This means that

RT = RS + ST

So, we have:

2x + 10 + x - 4 = 21

Evaluate the like terms

3x = 15

Divide by 3

x = 5

Substitute x = 5 in RS= 2x+10 and  ST= x−4

RS= 2*5+10 = 20

ST= 5−4 = 1

Hence, the lengths of RS and ST are 20 and 1 respectively

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\(n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)\)

The other side is n-3

Answer:

.

Step-by-step explanation:

DC = 16 and

DB = 30 so

CB = 14

DB = 30 and

EB = 49 so

EB = 19

Answer:

The domain of  (f o g)(x) is {x | x \(\neq\) -2}

Step-by-step explanation:

The denominator cannot equal zero. Therefore, any number that makes the denominator equal zero is excluded from the domain of (f o g)(x)

answer: [-5, 4) U (4, ∞)

(f o g) (x) means

put g(x) where x is in f(x)

1/(square root x+5)-3

1/√(x+5)-3

another way to write it is

(-3 - sqrt(5 + x))/(4 - x)

cant have 0 at the bottom

√(x+5)-3 = 0

√(x+5) = 3

x+5=9

x=4

so x cannot = 4

domain of the function will be expressed as [-5, 3) U (3, ∞)

Using and it can be concluded that the domain of is all real numbers except 0.

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gathmath

.

Answer:

FED ~ MLF

Step-by-step explanation:

∠L = ∠E

∠F = ∠F

Since both angles are congruent, that would mean all angles are congruent.

If all angles are congruent, then the triangles are always similar no matter the length of the sides.

The complete statement is \(\triangle FED\sim \triangle FLM\).

Similar triangles are the triangles that have the same shape, but their sizes may vary.

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

When two lines intersect each other, then the opposite angles are formed due to intersection are called vertical angles or vertically opposite angles.

According to the given question.

We have two triangles LMF and EDF

In triangles LMF and EFD we have

∠MLF = ∠DEF   (given)

Also, ∠MFL = ∠DFE   (vertically opposite angles)

Since, we know that " if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other".

Therefore, by AA similarity criteria triangle FED is similar to FLM.

Hence, the complete statement is \(\triangle FED\sim \triangle FLM\).

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A square pyramid has 5 faces. A base square and 4 triangles. The total surface area is a sum of the area of the individual faces.

We now have to find the area of the other 4 faces and sum it all

Total surface area of the pyramid = area of base square + area of 4 triangles

The  inverse Laplace transform of L{f(t)} is:

f(t) = L^-1{2/s} + L^-1{3/s^2} + L^-1{4} + L^-1{13/s^2}
    = 2 + 3t + 4δ(t) + 13t

Thus, f(t) = 2 + 16t for t > 0, and f(t) = 2 for t = 0.

We are given the Laplace transform of a function f(t) as:

L{f(t)} = 2s/(s^2) + 3/(s^2) + 4s/(s^2) + 13/(s^2)

We can simplify this expression as:

L{f(t)} = 2/s + 3/s^2 + 4 + 13/s^2

To find f(t), we need to take the inverse Laplace transform of each term in this expression. We can use the following formulas:

L{t^n} = n!/s^(n+1)
L{e^at} = 1/(s-a)

Using these formulas, we can find that the inverse Laplace transform of each term is:

L^-1{2/s} = 2
L^-1{3/s^2} = 3t
L^-1{4} = 4δ(t)
L^-1{13/s^2} = 13t

where δ(t) is the Dirac delta function.

Therefore, the inverse Laplace transform of L{f(t)} is:

f(t) = L^-1{2/s} + L^-1{3/s^2} + L^-1{4} + L^-1{13/s^2}
    = 2 + 3t + 4δ(t) + 13t

Thus, f(t) = 2 + 16t for t > 0, and f(t) = 2 for t = 0.

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The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

y=7x

Step-by-step explanation:

When finding the slope intercept form using 2 points, we do the following.

y=mx+b (Slope intercept from)

y=7x+b (7 is slope)

Substitute the point

7=7(1)+b

7=7+b

b=0

y=7x

The slope intercept equation is y = 7x

The weight of the package is 12 ounces

The given parameters are

Total amount = $2.76

Domestic rate = $.23 per ounce

The equation to determine the weight of the package is represented as:

Weight = Total amount/Domestic rate

Substitute the known values in the above equation

Weight = 2.76/.23

Evaluate the quotient

Weight = 12

Hence, the weight of the package is 12 ounces

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Answer:

706 out 2201

Step-by-step explanation:

the total number of the passengers in the cabin out of the total number of the passengers that were on board.

I hope this helps you..!

The value of f(x) = x³ - x² -5x - 3 will be (x-3)³ +8(x-3)² + 16(-3).

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division

f(x) = x³ - x² -5x - 3

= (x - 3)³ +9x² - 27x +27- x² -5x -3

= (x-3)³ +8x² - 32x + 24

= (x-3)² +8(x-3)² + 48x -72-32x +24

= (8-3)² + 8(8-3)² + 16x-48

= (x-3)³ + 8(x-3)² + 16(x-3)+48-48 =

= (x-3)³ +8(x-3)² + 16(-3).

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Answer:

C & D

Step-by-step explanation:

We are given the equation:-

\( \displaystyle \large{ {m}^{2} + 144 = 0}\)

Subtract both sides by 144.

\( \displaystyle \large{ {m}^{2} + 144 - 144 = 0 - 144} \\ \displaystyle \large{ {m}^{2} = - 144} \)

Square root both sides, adding plus-minus.

\( \displaystyle \large{ \sqrt{ {m}^{2} } = \pm\sqrt{ - 144} } \\ \displaystyle \large{ m = \pm\sqrt{ - 144} } \)

Therefore, m is √-144 or - √-144.

Learn More!

These type of number such as √-144 or any negative numbers in square root or nth root where n = (2,4,6,8,...) are called Imaginary Number

Imaginary Number is another set that is separated from Real Number.

When both Real and Imaginary are together, they are called Complex Number

Let's say we want to solve the equation and receive imaginary solutions, let's see the Imaginary Unit.

Imaginary Unit

We usually define 'i' as imaginary unit.

\( \displaystyle \large{i = \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2} = - 1 } \\ \displaystyle \large{ {i}^{3} = - \sqrt{ - 1} = - i} \\ \displaystyle \large{ {i}^{4} = 1}\)

From the equation above:-

\( \displaystyle \large{ m = \pm\sqrt{ - 144} } \)

Factor √-1 out of √-144.

\( \displaystyle \large{ m = \pm\sqrt{ 144} \sqrt{ - 1} } \)

From the imaginary unit, √-1 = i.

√144 is 12.

Thus:-

\( \displaystyle \large{ m = \pm 12i}\)

Answer:

Please see below.

Step-by-step explanation:

I will be using * to express multiplication, and ^ to express squares.

A) Can you find the area of the shape?

Yes, we can.

We can simply multiply 5x - 3 by 2x, as seen below.

(2x)(5x - 3)

2x * 5x = 10x^2

2x * -3 = -6x

Area = 10x^2 - 6x

B) Can you find the perimeter of the shape?

Yes.

Because a rectangle has two sets of equal sides, we can merely multiply the two given measurements by two and add them together to find the perimeter.

2x * 2 = 4x

2(5x - 3) = 10x - 6

4x + 10x - 6 = 14x - 6

Perimeter = 14x - 6

C) If x = 2, what is the area of the shape?

We can just plug in 2 wherever our x shows up.

5x - 3 = 5 * 2 - 3 = 10 - 3 = 7

2x = 2 * 2 = 4

7 x 4 = 28

We can also use our previous formula from A.

10x^2 - 6x

10 * 2^2 - 6 * 2

10 * 4 - 12

40 - 12

28

Our area if 28 if x = 2

Please let me know if any of these are incorrect.

Answer:

four and seven. your welcome

Answer:

A, C

Step-by-step explanation:

56÷4=14 and 56÷7=8

The sample size of each study is often used as the weight in pooling the effects to calculate a weighted average of the population effect size.

When conducting a meta-analysis or pooling effects from individual studies, researchers typically assign weights to each study based on certain criteria. The most common weight used is the sample size of each study. The rationale behind using sample size as the weight is that studies with larger sample sizes are considered to provide more precise estimates of the population effect size.

By assigning higher weights to studies with larger sample sizes, the meta-analysis gives more importance to those studies in calculating the overall effect size. This approach accounts for the fact that larger studies tend to have more statistical power and provide more reliable estimates of the true population effect.

The weighted average is calculated by multiplying the effect size of each study by its corresponding weight (usually the sample size), summing up these weighted effects across studies, and dividing by the total weight. This yields an estimate of the population effect size that takes into account the relative contribution of each study based on its sample size.

The weight often used in pooling effects from individual studies to calculate a weighted average of the population effect size is the sample size of each study. Larger sample sizes are assigned higher weights, as they are considered to provide more precise estimates of the true population effect.

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Answer:

C

Step-by-step explanation:

fits the the graph

Using the concept of Unit Cost, $5.34 is Jacks` total bill for buying 3.5 pounds of carrot and 1.25 pound of broccoli.

The unit price is  measurement used to represent the price of a particular good or service to be exchanged with the customers or consumers for money. The unit price refers to the price/unit of measures, such as price per pound, quart, ounce, or other units of weight or volume of the food package.

The unit price is important for both of customers and organizations. An organization cannot sustain without unit price itself for a long period by selling products at a lower price. Similarly, customers would not be able to buy the product if the value of the product is less than the price. The researcher suggests that the unit price information helps shoppers to save around 17-18% in supermarkets when they are educated on how to actually use it.

We are given Carrot cost of per pound is $0.99.

Therefore Carrot cost for 3.5 pounds=3.5×0.99= $3.465

Similarly, Broccoli cost of per pound is $1.50.

Therefore, broccoli cost for 1.25 pounds =1.25×1.50=1.875

Total bill = Broccoli cost+ Carrot cost

Total bill =3.465+1.875=$5.34

Hence,$5.34 is Jacks` total bill for buying 3.5 pounds of carrot and 1.25 pound of broccoli.

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Answer:

the answer for just eliminate the variables and to the solving tho get the answer as they get the answer to the number above

The probability that exactly 4 seeds don't grow out of 11 planted is approximately 0.992.

This is a binomial distribution problem, where the probability of success (plant growing) is p = 0.6 and the probability of failure (plant not growing) is q = 1 - p = 0.4. We want to find the probability that exactly 4 seeds don't grow out of 11 planted.

The formula for this is:

P(X = k) = (n choose k) * p^k * q^(n-k)

where X is the number of seeds that don't grow, k = 4, n = 11, (n choose k) is the binomial coefficient which can be calculated as (n choose k) = n! / (k!(n-k)!), and p and q are the probabilities of success and failure respectively.

Substituting the values, we get:

P(X = 4) = (11 choose 4) * 0.4^4 * 0.6^7

= (11! / (4! * 7!)) * 0.0256 * 0.1176

= 330 * 0.003008256

= 0.99227008

Therefore, the probability that exactly 4 seeds don't grow out of 11 planted is approximately 0.992.

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we can add two numbers first

now we add the result with the following number

the total of books cost $14.99

The cosine of the angle between vectors A and B with respect to the standard inner product on M22 is √7 / 10.
This was determined by calculating the dot product of A and B, and dividing it by the product of their magnitudes.

To find the cosine of the angle between vectors A and B with respect to the standard inner product on M22, we can use the formula:

cos(theta) = (A·B) / (||A|| ||B||)

where A·B represents the dot product of A and B, and ||A|| and ||B|| represent the magnitudes of vectors A and B, respectively.

Let's calculate each component needed for the formula:

A·B = (2)(3) + (1)(1) + (6)(2) + (-3)(0) = 6 + 1 + 12 + 0 = 19

||A|| = sqrt((2^2 + 1^2 + 6^2 + (-3)^2) = sqrt(4 + 1 + 36 + 9) = sqrt(50) = 5√2

||B|| = sqrt((3^2 + 1^2 + 2^2 + 0^2) = sqrt(9 + 1 + 4 + 0) = sqrt(14)

Now, we can plug in these values into the formula:

cos(theta) = (A·B) / (||A|| ||B||) = 19 / (5√2 * √14)

To simplify further, we can rationalize the denominator:

cos(theta) = 19 / (5√28) = 19 / (5 * 2√7) = (19 / 10) * (1 / √7) = (19√7) / 10√7 = √7 / 10

Therefore, the cosine of the angle between vectors A and B with respect to the standard inner product on M22 is √7 / 10.

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x^2=37 ===》 x = + radical 37( acceptable )

===》 x = - radical 37(unacceptable)

To display the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000, a program is written with a loop construct. This loop is implemented using a `while` loop with a header line that looks like this: `while term < 10000:`.

Fibonacci sequence is named after the Italian mathematician Leonardo Fibonacci who developed a mathematical sequence in the 13th century to explain the geometric growth of a population of rabbits.

The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two.

The first several terms in the Fibonacci sequence are:

Fib(0) = 0, Fib(1) = 1, Fib(2) = 1, Fib(3) = 2, Fib(4)= 3, Fib(5)=5.

This program continues as long as the value of the term is less than the maximum

The output is as follows:

```1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765```

The while loop could also be used to achieve the same goal.

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False.

The mean of a binomial distribution can be calculated using the formula np, where n is the number of trials and p is the probability of success for each trial. However, knowing the mean is not a requirement to construct a binomial probability distribution.

The distribution can be constructed based solely on the number of trials and the probability of success. The binomial probability formula allows us to calculate the probability of obtaining a specific number of successes in the given trials.

The distribution provides a probability distribution function that describes the likelihood of various outcomes, regardless of whether the mean is known or not.

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