first to write the full number for PI without looking it up gets brainliest, and i will be able to tell if you looked it up.

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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Answer:

Each term in pattern B is 9 less than the corresponding term in pattern A.

Answer:

No the table doesn't described the relation S is a function.

As the value of x has different value.

Not letting me ans ,refer to the attachment

A graph that represent the quadratic equation h = -16t² + 80 is shown in the image attached below.

In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. Based on the given quadratic function, we can logically deduce that the graph would be a downward parabola because the coefficient of x² is negative and the value of "a" is less than zero (0).

Since the leading coefficient (value of a) in the given quadratic function h = -16t² + 80 is negative 16, we can logically deduce that the parabola would open downward and the x-intercept (roots) is given by the ordered pair (-2.236, 0) and (2.236, 0).

In conclusion, the vertex is given by the ordered pair (0, 80).

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Answer:

so, the equation of the line shown is y=2x-1

if the equation you are trying to write has a y-intercept of 4, the equation would be y=2x+4

Hope that helps ya!

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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Answer:

8000

Step-by-step explanation:

Answer: Therefore, the number 8272 rounded to the nearest thousand is 8000

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

If u put 4 into x's place in the equation it equals 10

2(4-9) =-10

2(-5) = -10

negative times a positive is always a negative

PEMDAS

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

the y axies

Step-by-step explanation:

css its not the x

Answer:

Step-by-step explanation:

2 2/3 = 8/3

3 3/8 = 27/8

8/3 * 27/8 = 216/24

= 9

Formula: Volume given in 100s = Volume given in 1000s * 10

a) 476,040

b) 505,230

Given: To write a formula to convert the volume given in 1000s into a volume given in 100s.

So, the conversions of per thousand sales into per 100 is first multiply volume in 1000’s with 1000 and divide with 100 or multiply volume in 1000’s with 10.

We will follow the later step as it is simpler.

So the formula is:

Volume given in 100s = Volume given in 1000s * 10

a) Intel Corp: Volume given in 1000s = 47, 604

Volume given in 100s = 47, 604 * 10 = 476,040

b) Yahoo! Inc. : Volume given in 1000s = 50, 523

Volume given in 100s = 50, 523 * 10 = 505,230

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Disclaimer: The question is incomplete. The complete question is given below:

Use the spreadsheet below to answer Exercises 12–16.

(see the picture attached given below)

Write a formula that will convert the volume given in 1,000s into a volume given in 100s. Use the left side of the equation to indicate in which cell to store the formula.

a. Intel Corp  b. Yahoo! Inc

Answer:

36 and 24

.............

Answer:Solution for 0.3(y-2)+0.4y=0.3y-0.6 equation:

0.3(y-2)+0.4y=0.3y-0.6

We move all terms to the left:

0.3(y-2)+0.4y-(0.3y-0.6)=0

We add all the numbers together, and all the variables

0.4y+0.3(y-2)-(0.3y-0.6)=0

We multiply parentheses

0.4y+0.3y-(0.3y-0.6)-0.6=0

We get rid of parentheses

0.4y+0.3y-0.3y+0.6-0.6=0

We add all the numbers together, and all the variables

0.4y=0

y=0/0.4

y=0

The instructor can conclude that the class performed around the average and that the distribution of grades is likely to be symmetrical. This can also imply that there is no skewness or bias in the data. Answer more than 100 words:When an instructor notes that the mean, median, and mode are all exactly 76.00, it can be inferred that the distribution of grades in the class is roughly symmetrical. This indicates that there are nearly equal numbers of students above and below the average grade.

The mean, median, and mode are three measures of central tendency that are used to summarize the distribution of a dataset. The mean is calculated by adding all the values in the dataset and dividing by the number of observations, while the median is the middle value when the dataset is ordered from smallest to largest. The mode is the value that occurs most frequently in the dataset. When all three measures of central tendency are equal, as in this case, it means that the dataset is roughly symmetrical and there is no skewness or bias. This can also indicate that the dataset is normally distributed, which means that it follows a bell-shaped curve.The instructor can conclude that the class performed around the average, as the mean, median, and mode are all 76.00.

However, it is important to note that this does not give any information about the spread of the dataset. In other words, the instructor cannot tell from this information alone whether the grades were tightly clustered around the average or widely dispersed. For this reason, it may be useful to calculate additional measures of spread, such as the range or standard deviation, to get a better understanding of the distribution.

The instructor can conclude that the class performed around the average and that the distribution of grades is likely to be symmetrical, with no skewness or bias. However, it is important to remember that this information alone does not provide any insight into the spread of the dataset. Additional measures of spread would need to be calculated to determine the degree of variability in the grades.

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Answer: 5/9 of the capacity of a tank has been used and there are still 108L left. What is the capacity of the deposit?

Step-by-step explanation:

AB is parallel to CD, AD is parallel to CD then ΔABC approximately equals to triangle ΔCDA

From given AB∥CD

AD∥CD from given

∠ABC = ∠CDA because of corresponding angles

BAC = ∠ACD because of alternate interior angles

ΔABC ≅ ΔCDA by By angle-angle (AA)

we are given that AB is parallel to CD and AD is parallel to CD.

We need to prove that ΔABC is approximately equal to ΔCDA.

To do this, we use the angle-angle (AA) similarity theorem.

First, we can identify that ∠ABC and ∠CDA are corresponding angles, as they are on the same side of the transversal line AB and CD, respectively, and they are formed by parallel lines.

Therefore, ∠ABC ≅ ∠CDA.

Hence, AB is parallel to CD, AD is parallel to CD then ΔABC approximately equals to triangle ΔCDA

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Answer:

Step-by-step explanation:

In kinematic motion

x= xo + vt

xo= 0 because they didn't give it so we suppose it as 0

x= vt

x= 6m/s * 15s

x= 90m

Answer:

5400 meters

Step-by-step explanation:

In order to find the answer to this question you need to multiply the amount traveled per second by the amount of seconds he ran, then just convert that answer into meters.

1 second = 6 m/s

15 seconds = 90 m/s

15 × 6 = 90

1 meter per second = 60 meters per minute

90 × 60 = 5400

= 5400 meters

Hope this helps.

The line of best fit of the darts is y  = 0.6x + 0.6 after calculating using the formula option first is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

We can calculate the line of best fit by using the slope(m) and intercept(c)

\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}\)

Let's suppose the line of the best fit is:

y = mx + c

m = 0.6

c = 0.6

y  = 0.6x + 0.6

Thus, the line of best fit of the darts is y  = 0.6x + 0.6 after calculating using the formula option first is correct.

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Answer:

a

Step-by-step explanation:

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​

Answer:

...

Step-by-step explanation:

Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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The probability of an event happening is represented as a fraction, with the numerator being the number of favorable outcomes and the denominator being the total number of outcomes.

In this case, if the player throws two darts, the probability that both land in a shaded region is equal to the product of the probabilities of each dart landing in the shaded region.

If the shaded region is a circle with radius r and the darts are randomly thrown onto a larger circle with radius R, then the probability of a dart landing in the shaded region is given by:

P = (Area of shaded region) / (Area of larger circle) = (πr^2) / (πR^2)

So, the probability that both darts land in the shaded region is given by:

P = (πr^2 / πR^2) * (πr^2 / πR^2) = (πr^2 / πR^2)^2

Note that the specific values of r and R would depend on the particular game and the dimensions of the object.

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To verify whether the languages of two regular expressions r and s are equal, we can follow these steps:

Construct the finite automata for r and s.

Convert both the finite automata to their corresponding deterministic finite automata (DFA).

Minimize the DFAs obtained in step 2.

Compare the minimized DFAs to check if they are equivalent.

If the DFAs are equivalent, then the languages of r and s are also equal.

Alternatively, we can directly compare the regular expressions r and s by using the following algorithm:

Convert both r and s to their equivalent minimal deterministic finite automata (DFA).

Construct the product DFA of the two DFAs obtained in step 1.

Check if the accepting states of the product DFA correspond to the same regular expressions in r and s.

If the accepting states correspond to the same regular expressions, then l(r) = l(s). Otherwise, l(r) ≠ l(s).

Note that the above algorithm may not be efficient for larger regular expressions, and in such cases, constructing the minimal DFAs may be a more practical approach.

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Answer:

0.444

Step-by-step explanation:

im a bit confused with the anwser choices, so just pick which ever one contains states 0.444 as it's answer choice.

hope this helps :)

Answer:

0.444

Step-by-step explanation:

1.) A rational number in the form of a fraction can be represented as a decimal by dividing the numerator by the denominator.

2.) Now let's divide 111.000000... by 250. Find enough decimal digits in the numerator so we can see whether the decimal terminates or starts to repeat. \(111/250 = .444\). Since the remainder is 000, this is a terminating decimal.

3.) The terminating decimal is \(\frac{111}{250} = 0.444.\)

Answer:

Step-by-step explanation:

(-2 , 6)

Slope = m = -1

y =mx + b

y = -x +b

Plugin x = -2 and y = 6

6 = -(-2) + b

6 = 2 + b

6-2 = b

b = 4

y = -x + 4

x + y = 4

Answer:

Step-by-step explanation:

It may help you to rewrite this problem in columns:

 2x - 3

-(  x - 1)

------------

   x - 2 (answer) ("x minus 2")

Answer:

21.25

Step-by-step explanation:

I just smart

Answer:

ok so.u grit da he on 40/ rock cause u got a andriodnh on gf

Answer:

12

Step-by-step explanation:

2a + 2b is 2 times a + b

Therefor, the answer will be 2 times the sum of a+b

6x2 = 12