One plane can travel 20 miles per hour faster than another. One of them goes 285 miles in the same time it takes the other to go 255 miles. What are their speeds?​

After answering the presented question, we can conclude that As a cylinder result, option C. 1800 is the correct answer.

A cylinder is a three-dimensional geometric shape made up of two parallel congruent circular bases and a curving surface connecting the two bases. The bases of a cylinder are always perpendicular to its axis, which is an imaginary straight line passing through the centre of both bases. The volume of a cylinder is equal to the product of its base area and height. A cylinder's volume is computed as V = r2h, where "V" represents the volume, "r" represents the radius of the base, and "h" represents the height of the cylinder.

volume of the cylinder is:

\(V = \pi r^2h\\V = \pi (5^2)(18)\\V = \pi (25)(18)\\V = 450\pi cubic inches\\V =450 x 3.14\\V =1413.00 cubic inches\\\)

As a result, option C. 1800 is the correct answer.

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Answer:

x is 130 degrees. y is 80 degrees.

Step-by-step explanation:

Step-by-step explanation:

since ABCD is a Rhombus, x = 180-50 = 130°

y = 180-(50+50)= 80°

Answer:

an = 3n - 3

Step-by-step explanation:

The nth term of an arithmetic progression is expressed as;

an = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

a8 = a + (8-1)d

a8 = a + 7d = 21 ....1

a10 = a+9d = 27 ....2

Subtract 1 from 2

7d  - 9d = 21 - 27

-2d = -6

d = -6/-2

d = 3

Since a + 7d = 21

a + 7(3) = 31

a + 21 = 21

a = 21 - 21

a = 0

Get the nth term

Recall that an = a + (n-1)d

an = 0 + (n-1)*3

an = 3n - 3

Hence the nth term of the sequence is 3n - 3

Answer:

You draw the exact same shape but at a different scale

Step-by-step explanation:

You just draw it bigger.

An expression evaluate to 3.5 is (double) (2 / 4) 3.

or the question given, we are to determine which of the following expressions evaluates to 3.5.

We have:

(double) 2 / 4= 1 (double) (2 / 4) 3= 1.5 (double) (2 / 4 3)= 0.3333333333333333

The only expression that evaluates to 3.5 is (double) (2 / 4) 3. Therefore, the correct answer is (B) (double) (2 / 4) 3.

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Answer:

$11.23

Step-by-step explanation:

A) 500 +  4(.06*500)

\(500+4\left(0.06\cdot \:500\right)=620\)

B) \(500\cdot \:1.06^4=631.23848\)

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Answer:

B

Step-by-step explanation:

The Rate of Change for g(x) is less, as it has a slope of -3, while f(x) only has a slope of -2.

To sketch the region enclosed by the given curves, we need to first plot each of the curves and then identify the boundaries of the region.The first curve, y = 3/x, is a hyperbola with branches in the first and third quadrants. It passes through the point (1,3) and approaches the x- and y-axes as x and y approach infinity.

The second curve, y = 12x, is a straight line that passes through the origin and has a positive slope.The third curve, y = 1/12 x, is also a straight line that passes through the origin but has a smaller slope than the second curve.To find the boundaries of the region, we need to find the points of intersection of the curves. The first two curves intersect at (1,12), while the first and third curves intersect at (12,1). Therefore, the region is bounded by the x-axis, the two straight lines y = 12x and y = 1/12 x, and the curve y = 3/x between x = 1 and x = 12.To sketch the region, we can shade the area enclosed by these boundaries. The region is a trapezoidal shape with the vertices at (0,0), (1,12), (12,1), and (0,0). The curve y = 3/x forms the top boundary of the region, while the straight lines y = 12x and y = 1/12 x form the slanted sides of the trapezoid.In summary, the region enclosed by the given curves is a trapezoid bounded by the x-axis, the two straight lines y = 12x and y = 1/12 x, and the curve y = 3/x between x = 1 and x = 12.

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The initial value of the logistic model, rounded to the nearest whole number, is 500.

In the given logistic model, f(x) = 1000 / (1 + 49\(e^(-0.723x)\)), we need to find the initial value. The initial value refers to the value of the function when x approaches negative infinity, or in other words, the value of the function at the leftmost end of its domain.

As x approaches negative infinity, the exponential term, \(e^(-0.723x)\), approaches 0. This is because the exponential function decreases rapidly as the exponent becomes more negative. Therefore, the denominator of the logistic function, (1 + 49\(e^(-0.723x)\)), approaches 1.

Substituting this value into the logistic model, we have f(x) = 1000 / (1 + 1) = 1000 / 2 = 500. Rounding this to the nearest whole number, the initial value of the logistic model is approximately 500.

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Answer:

Step-by-step explanation:

6x + 7 + 3x - 16 = 180    {Supplementary}

6x  + 3x + 7 - 16 = 180

9x   - 9 = 180

      9x = 180+ 9

      9x = 189

         x = 189/9

x = 21

6x + 7 = 6*21 + 7 = 126 + 7 = 133

11y - 32 = 6x + 7    {Vertically opposite angles}

11y - 32 = 133

      11y = 133 + 32

      11y = 165

y = 165/11

y= 15

Answer:

Step-by-step explanation:

2x + 1 = 4x - 19

Solve for x

2x + 1 = 4x - 19

2x - 4x = -19 - 1

-2x = -20

x = 20 : 2

x = 10

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

check

2 * 10 + 1 = 4 * 10 - 19

21 = 21

the answer is good

Answer: \(\Large\boxed{x=10}\)

Step-by-step explanation:

2x + 1 = 4x - 19

Add 19 on both sides

2x + 1 +19 = 4x - 19 + 19

2x + 20 = 4x

Subtract 2x on both sides

2x + 20 - 2x = 4x - 2x

20 = 2x

Divide 2 on both sides

20 / 2 = 2x / 2

\(\Large\boxed{x=10}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y = 2/3x + 2.5

Step-by-step explanation:

9514 1404 393

Answer:

  a) 5 cm

  b) 8 cm

  c) 9 m

Step-by-step explanation:

It can be worthwhile to work the last attachment (a) first, since these are all variations of the same triangle.

The Pythagorean theorem tells you the sum of the squares of the legs is the square of the hypotenuse.

Problem 6a:

  3² +4² = x² . . . . fill in the given numbers; all measures in cm

  9 + 16 = x² . . . . simplify exponents

  25 = x² . . . . . . . simplify sum

  x = √25 = 5 . . . take the square root.

  x = 5 cm . . . . . . apply units

__

Note that this triangle is a 3-4-5 right triangle. That is a set of side lengths (ratios) that is useful to remember. In this problem set, you see it again immediately.

__

Problem 6b:

Shortest-to-longest, the side ratios of the given triangle are ...

  6 : x : 10

For some x', this is ...

  3 : x' : 5 . . . . . . . . . . . . . matches a 3-4-5 triangle with x' = 4

The scale factor is 6/3 = 10/5 = 2, so we have ...

  x = 2·x' = 2·4 = 8

  x = 8 cm . . . . . with units

__

Problem 6c:

The side ratios are ...

  x : 12 : 15  which reduces to  x' : 4 : 5

This matches a 3-4-5 triangle with x' = 3, and a scale factor of 12/4 = 15/5 = 3.

Then ...

  x = 3·x' = 3·3 = 9

  x = 9 m . . . . . with units

Answer:

-a-3b

Step-by-step explanation:

a+2b-2a-b+2(-2b)

-a+b-4b

-a-3b

-(a+3b)

Answer:

yes because we are leraning new things

ANSWER:

STEP-BY-STEP EXPLANATION:

We must interpret each sentence mathematically, just like this:

Less then would be a subtract

Product would be a multiplication

No more than would be equal or less than

Answer:        

.2n-7≤95

.2n≤102

n≤510

hope this helps

Answer:

-3/2 which is a

Step-by-step explanation: finding the exact value

The value (-15/8 + 1.5) ÷ (15 - \(14\frac{3}{4}\))  = -3/2,

Hence, Option A is correct.

The given expression is,

(-15/8 + 1.5) ÷ (15 - \(14\frac{3}{4}\))

Since we know,

Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in splitting fractions is to get the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators.

Here we have to find the value of the given expression is,

We can write it as,

⇒  (-15/8 + 1.5) ÷ (15 - 59/4)

⇒  (-15 + 12)/8  ÷ (60-59)/4

⇒  -3/8 ÷ 1/4

⇒  -3/8 x 4/1

⇒  -3/2

Hence,

(-15/8 + 1.5) ÷ (15 - \(14\frac{3}{4}\))  = -3/2

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Answer:

the first one is just asking if x increases, does the line go up to down if you look from the graph? The y, or f(X) values will increase as X increases. X intercept means when does the line touched the X axis? From the graph the line touches it at (-3,0)

The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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Answer:

m = -9.4

Step-by-step explanation:

Distribute -5 to m and 4.

You should have -5m-20=27

Add 20 to both sides.

You should end with -5m=47

Divide both sides by -5.

You should get m= -9.4

Hope this helped :)

Answer:

p²q³ + pq and pq(pq² + 1)

Step-by-step explanation:

Given

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Required

Collect like terms

We start by rewriting the expression

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Collect like terms

3p²q² -3p²q² - 3p²q³ +4p²q³ + pq

Group like terms

(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq

Perform arithmetic operations on like terms

(0) - (-p²q³) + pq

- (-p²q³) + pq

Open bracket

p²q³ + pq

The answer can be further simplified

Factorize p²q³ + pq

pq(pq² + 1)

Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)

The correct option is "X Poisson (5)".To find the probability P[X = 10], we can use Poisson Distribution.

Poisson Distribution is used to model the number of times an event occurs within a given time interval. The Poisson distribution with parameter λ > 0 is a discrete probability distribution that expresses the probability of a given number of events happening in a fixed interval of time and/or space if these events occur with a known constant mean rate and independently of the time since the last event.

λ is the expected number of events in an interval.λ can be any positive number. Given that the T- mobile store has monitored the arrival of customers for 50 minutes, let X be the number of customers who arrive in 50 minutes.

The expected arrival time of the first customer is 10 minutes. We need to find the probability of P[X = 10].We can use Poisson Distribution to find the probability.

P[X = k] = ((e ^ (-λ)) (λ ^ k)) / k!,

where e is the base of the natural logarithm, λ is the expected number of events, k is the actual number of events that occur.

Here, the given value of λ = 5.

Therefore, the probability of P[X = 10] can be calculated using the above formula as:

P[X = 10] = ((e ^ (-5)) (5 ^ 10)) / 10!

P[X = 10]= 0.0181328

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The radius of convergence of the Taylor series for the exponential function, e^x, centered at x = 0, is infinite.

The Taylor series expansion for the exponential function, \(e^x\), around x = 0 is given by the formula:

\(e^x = 1 + x + (x^2)/2! + (x^3)/3! + (x^4)/4! + ...\)

This series converges for all values of x because the terms in the series decrease in magnitude as the exponent increases. This means that as x approaches infinity or negative infinity, the terms in the series approach zero.

The convergence of a power series is determined by the ratio test or the root test. In the case of the exponential function, both tests yield a radius of convergence of infinity. This indicates that the series converges for all values of x. Therefore, the Taylor series expansion of e^x around x = 0 is valid for all real numbers x.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer: lets just say hmmm 371 adults 2 children

Step-by-step explanation:

The total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

Cash sales: 40%

Credit card sales: 40%

Debit card sales: 20%

Requirement 1: How much of the total sales revenue is expected to be paid in cash?

Assuming the total sales revenue for January is $X, the amount expected to be paid in cash is 40% of X.

Cash sales = 0.4 × X

Requirement 2: How many customer transactions does the company expect in January?

The number of customer transactions can vary, and the information provided doesn't specify a particular value. You would need to have additional data or assumptions to determine the number of transactions.

Requirement 3: How much of the total sales revenue is expected to be paid with credit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with credit cards is 40% of X.

Credit card sales = 0.4 × X

Requirement 4: How many customer transactions will be paid for by customers using credit cards?

Similar to Requirement 2, the number of customer transactions paid for by credit cards would require additional data or assumptions to determine.

Requirement 5: When budgeting for January's operating expenses, how much should the restaurant expect to incur in credit card transaction fees?

To calculate the credit card transaction fees, we need to consider two components: a fixed fee per transaction and a percentage fee based on the amount charged.

Assuming the number of credit card transactions is Y, and the average amount charged per transaction is Z, the credit card transaction fees can be calculated as:

Credit card transaction fees = (0.50 × Y) + (0.02 × Z × Y)

Requirement 6: How much of the total sales revenue is expected to be paid with debit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with debit cards is 20% of X.

Debit card sales = 0.2 × X

Requirement 7: How many customer transactions will be paid for by customers using debit cards?

Similar to Requirement 2 and Requirement 4, the number of customer transactions paid for by debit cards would require additional data or assumptions to determine.

Requirement 8: When budgeting for January's operating expenses, how much should the restaurant expect to incur in debit card transaction fees?

Similar to Requirement 5, the debit card transaction fees can be calculated using the same formula but with different values for the fixed fee per transaction and the percentage fee based on the amount charged.

Requirement 10: What is the total amount of money that the restaurant expects to deposit in its bank account during the month of January from cash, credit card, and debit card sales?

Assuming the total sales revenue for January is $X, the total amount expected to be deposited in the bank account is the sum of cash sales, credit card sales, and debit card sales.

Total deposits = Cash sales + Credit card sales + Debit card sales

= 0.4 × X + 0.4 × X + 0.2 × X

= X

Therefore, the total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

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On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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Answer:

a) 18

Step-by-step explanation:

There are three possible outcomes for every amount of GB and since there are 6 different quantities of GB then we get:

6×3=18 possible outcomes.