The following are the ages (years) of 5 people in a room: 23, 15, 17,23, 23 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?

the answer is 3x^3 +13x^2 +6x -8.

Answer:

I can simplify it for u but not sure the product

3x(x²+3x-2)+4(x²+3x-2)

3x³+9x²-6x+4x²+12x-8

=3x³+13x²+6x-8

that's the final answer

Answer:

− x + 16y

Step-by-step explanation:

2x + 5y − 3x + 11y

= 2x + 5y + − 3x + 11y

Combine Like Terms:

= 2x + 5y + − 3x + 11y

= (2x + − 3x) + (5y + 11y)

= − x + 16y

At 15 p.m.of the time, her brother catches up with Ariel.

As per the given data,

Ariel's average speed is 45 miles per hour.

She left the house around 9 a.m.

Her brother's speed is 60 miles per hour.

At 11 a.m., her brother departed the house.

Now, back to the question. Assuming Ariel's average speed is 45 mph, she is 90 meters ahead after two hours.

Because her brother travels at 60 mph, he travels at (60 - 45)= 15 mph quicker.

So, at this rate, her brother will catch up to her in 90/4 = 4 hours.

As a result, her brother catches her at 11 a.m. + 4 hours = 15 p.m.

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The answer is  5:00 pm

Answer:

3/7

Step-by-step explanation:

This is because you need to count the tick marks to 1.

That should be 7.

Then you count to the red dot.

That should be 3.

3/7

Answer: 3/7

Step-by-step explanation:

There are 7 segments that separates 1 from 0, therefore our denominator of the fraction is 7.

The red dot is on the third tick, making our numerator 3.

Our answer is 3/7, or \(\frac{3}{7}\)

Answer:

28:16

Step-by-step explanation:

Answer:

28:16

Step-by-step explanation:

28-12 = 16

12 is the number of boys

16 is the number of girls

Therefore, 28:16 is the answer.

Hope this helps!

Answer:

3. This would be third person view

4. Tyrone's mother and Tyrone himself

Step-by-step explanation:

3. Explanation: "Tyrone will be so surprised," she thought. "He has no

idea that we have a puppy waiting for him at Grandma's

house." This is third person view because it says "thought" and whilst it is her view point, Tyrone wondered to himself - Tyrone saw his mother smiling to herself and wondered what she was thinking.- therefore, causing it to be third person point of view.

The Taylor series for the function f centered at 7 can be determined using the given information about the derivatives of f at 7. Additionally, we can find the radius of convergence of the Taylor series.

To find the Taylor series for f centered at 7 and determine the radius of convergence R, we can follow these steps:

The general form of the Taylor series expansion of a function f(x) centered at a is given by:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)^2/2! + f'''(a)(x - a)^3/3! + ...

We are given the derivative of f at 7, f^(n)(7), which can be written as:

f^(n)(7) = (-1)^n * n! / 6^n * (n + 4).

We need to find the coefficients of the Taylor series. To do that, we substitute a = 7 into the derivative expression:

f^(n)(7) = (-1)^n * n! / 6^n * (n + 4) = f^(n)(a) / n!.

Simplifying the expression, we have:

f^(n)(a) = (-1)^n / 6^n * (n + 4).

Now, we can substitute the coefficients into the general form of the Taylor series:

f(x) = f(7) + f'(7)(x - 7)/1! + f''(7)(x - 7)^2/2! + f'''(7)(x - 7)^3/3! + ...

To find the radius of convergence R, we use the formula:

R = 1 / lim sup |a_n / a_(n+1)|,

where a_n is the nth coefficient of the series.

Substituting the coefficients, we have:

R = 1 / lim sup |(-1)^n / 6^n * (n + 4) / (-1)^(n+1) / 6^(n+1) * (n + 5)|,

R = 1 / lim sup |6(n + 4) / (n + 5)|,

R = 1 / lim sup |6(n + 4) / (n + 5)|,

R = 1 / lim sup |6(n + 4) / (n + 5)|,

R = 1 / 6.

Therefore, the radius of convergence R of the Taylor series is 1/6.

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The decimal division of 18.92 by 11 gives us; 1.72

When dividing decimals,  we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.

We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;

18.92/11 = 1892/1100

= 1 + (1892 - 1100)/1100

= 1 + (792/1100)

= 1 + 0.72

= 1.72

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Answer:

c to the power of 5 x c = c⁶

Step-by-step explanation:

We need to find the expression for c to the power of 5 x c.

c to power 5 is : c⁵

Now, multiply c⁵ and c.

c⁵ × c = c⁵⁺¹

= c⁶

So, the final expression is c⁶. Hence, this is the required solution.

Answer:

Step-by-step explanation:

c to the power of 6

The worth of the factory is $97580.17.

Given data;

Cost of $460,000 for the factory. You project that it will bring in $150,000 in the first year, $210,000 in the second, and $360,000 in the third. The 12% discount rate applies.

To know the factory's worth;

Let,

\(NPV = \frac{C_0}{(1 + r)^0} + \frac{C_1}{(1 + r)^1} + \frac{C_2}{(1 + r)^2} + \frac{C_3}{(1 + r)^3}\)

Here,

C₀ = -460,000, C₁ = 150,000, C₂ = 210,000, C₃ = 360,000

\(NPV = \frac{-460,000}{(1 + 0.12)^0} + \frac{150,000}{(1 + 0.12)^1} + \frac{210,000}{(1 + 0.12)^2} + \frac{360,000}{(1 + 0.12)^3}\)

NPV = $97,580.17

Therefore, the factory's worth is $97580.17.

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To find the missing value we can us the sine function:

in this case the missing value x is the hypotenuse, the opposite leg is 35 and the angle is 45°, then we have:

Then we have that x=42.4

Answer: -70 1/4

Step-by-step explanation:

50 1/2 - 120 3/4

hoped this helped

The coordinates of the midpoint M are (-1, 4).

To find the midpoint M of the line segment AB with endpoints A(2, 1) and B(-4, 7), we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint M(x, y) of two points A(x₁, y₁) and B(x₂, y₂) can be found by taking the average of their respective x-coordinates and y-coordinates:

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

Let's apply the formula to find the midpoint M of AB:

x = (2 + (-4)) / 2

= -2 / 2

= -1

y = (1 + 7) / 2

= 8 / 2

= 4

Therefore, the coordinates of the midpoint M are (-1, 4).

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\({\huge{\fbox{\tt{\green{Answer}}}}}\)

______________________________________

To find the midpoint of a line segment, we take the average of the x-coordinates and the average of the y-coordinates. So, for the line segment AB with endpoints A = (2, 1) and B = (-4, 7), the midpoint M is:

→ M = ((2 + (-4)) / 2, (1 + 7) / 2)

M = (-1, 4)

Therefore, the midpoint of the line segment AB is M = (-1, 4).

______________________________________

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer:

I think is 50m.

Step-by-step explanation:

The least expensive computer after the 20% discount would be $400.

To calculate the price of the least expensive computer after the 20% discount, we need to find 20% of the original price and subtract it from the original price.

Let's assume the original price of the least expensive computer is x. The discount of 20% can be calculated as 0.20 * x. To find the discounted price, we subtract the discount from the original price: x - 0.20 * x = 0.80 * x.

Since we know that the cost of the least expensive computer ranges from $500 to $1000, we can substitute x with $500 and calculate the discounted price: 0.80 * $500 = $400. Therefore, the least expensive computer after the 20% discount would be $400.

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The line which have a steeper slope is Line 1.

It is given in the question that the points on the line are given by:-

Line 1: (0,-4) and (2,2)

Line 2:(0,-4) and (4,5)

We have to find which line has a steeper slope.

First we will find the slope of each line.

We know that slope of a line with points (a,b) and (c,d) is given by:-

(d-b)/(c-a)

Slope of Line 1:

(2-(-4))/(2-0) = 6/2 = 3

Slope of Line 2:

(5-(-4))/(4-0) = 9/4 = 9/4 = 2.25

We know that greater the slope of the line means greater the steep of the line.

As,

3 > 2.25

Hence, Line 1 is steeper than Line 2.

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With a speed of 6.67 ft/sec is the length of her shadow moving when she is 25 ft from the base of the pole.

Let H = the height of the pole.

h = the height of the woman.

x = the length of the woman's shadow.

s = the distance from the pole to the woman.

By similar triangles,  H/h = (s + x)/x  or  Hx = h(s + x).

Differentiating, H dx/dt = h(ds/dt + dx/dt)

15 dx/dt = 6(4+dx/dt)

15 dx/dt = 24 +6 dx/dt

15 dx/dt -6 dx/dt = 24

9 dx/dt = 24

dx/dt = 24/9 = 2.67 ft/sec for how fast her shadow was lengthening.

The speed of the length of her shadow would be this speed added to her traveling speed: 2.67 + 4 = 6.67 ft/sec.

Therefore, 6.67 ft/sec is the required answer.

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Answer:

105

Step-by-step explanation:

5 minutes=75 pages

1 minute=15 pages

7 minutes=15*7

7 minutes=105pages

Answer: 105

Step-by-step explanation:

75pg —-> 5mins

X ——> 7 mins

•

•

x= (75 x 7)/5 = 105pages

Answer:

what are the other streets??

Step-by-step explanation:

\( &#128075 \) Hello ! ☺️

Step-by-step explanation:

\( 103 = - 7(x + 8) + 7(x + 7) \)

\( 103 = - 7x - 56 + 7x + 49 = 0x + 7 \)

0x= 7 => x ∉ |R

\(\boxed{\color{gold}{S = ∅}} \)

Jamie is right.

* Any number multiplied by 0 gives 0.

The coupon which gives Hideki a better deal is Coupon 2: as the total cost is: $27

The total cost of coupon 1 will be; $28.8

The total cost of coupon 2 will be; $27

For Coupon 1; Buy 1 get one 40% off.

Total cost = $18 + 60% ($18)

Total cost = $18 + $10.8.

Total cost = $28.8

For Coupon 2; 25% off entire purchase

Total cost = 75% ($18 + $18)

Total cost = 75% ($36)

Total cost = $27

:D Your Welcome!

Answer:

21.21

Step-by-step explanation:

Area of a circle is A = π r^2

Variables:

r = 18/2 = 9

θ = 30 deg

Find the area:

A = π r^2

A = π 9^2

A = 254.47

Find the area of the sector:

θ/360 * A

= 30/360 * 254.47

= 21.21

Please mark brainliest if this helped!

Please mark brainliest if this helped!

Answer:

466.7 or 42.003 miles

Step-by-step explanation:

subtract 59.99 from 200.00. Then you have 140.01 and divide or multiply it by 0.30.

Answer:

Step-by-step explanation:

From the points we can see the y-intercept of the line is 3 as it passes through point (0, 3)

Answer options

Answer:

c

Step-by-step explanation:

The purpose why these concepts are present in the pictures is to develop imagination power among students.

As you imagine more, your mind becomes stronger and you have greater mental control. Innovation requires a strong imagination. If you succeed in what you set out to do, the same individuals who now accuse you of daydreaming will begin to aspire to be like you. Keep your aspirations high and your imagination expanding.

Imagination is a potent brain stimulant because it forces you to think differently than most people do. Your imagination can help you come up with scenarios that most effectively handle difficulties, even though your brain might classify them as being unexpected.

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As per the terms from the two sequences given in tables as attachment hereby along with the question statement, the following statements from the provided options are true.

(i) [(a₁) > (g₂)]

(iv) Initially (aₙ) is greater than (gₙ), and as "n" gets larger, (gₙ) is greater than (aₙ).

As per the question statement and the reference tables attached thereby along with the question, we are provided with terms from the two sequences in table format, and five statements based on the sequences.

We are required to determine which statements among the five, are true.

To solve this question, we will use the trial-and-error method, where we will consider individual statement and assess it's honesty.

First statement is [(a₁) > (g₂)], which is true. As we can see from the table, that, [(a₁) = 10] and [(g₂) = 4], i.e., (10 > 4), or, [(a₁) > (g₂)].

Second statement is that, "The constant difference for (aₙ) is 10" which is False. We can clearly see from the table that, (a₁ = 10), (a₂ = 15), (a₃ = 20), (a₄ = 25) and so on, and [(25 - 20) = (20 - 15) = (15 - 10) = 5], i.e.,

[(a₄ - a₃) = (a₃ - a₂) = (a₂ - a₁) = 5]. Hence, the common difference for (aₙ) is 5, and not 10.

Third statement is that, "(aₙ) can be modelled by a linear function, and (gₙ) can be modelled by an exponential function" which is true for the first part, but false for the second, making the complete statement false as whole.
From the left hand side table, we can see that, (a₂ = 15) and (a₁ = 10),

Or, [a₂ = (10 + 5)]

Or, [a₂ = (a₁ + 5)]

Similarly, (a₃ = 20),

Or, [a₃ = (15 + 5)]

Or, [a₃ = (a₂ + 5)]

That is, we can generalise (aₙ) as

[aₙ = {(aₙ₋₁) + 5}] where, (n = 2, 3, 4, 5...) and (a₁ = 10).

Hence, (aₙ) can be modelled by a linear function.

But from the right hand side table, we can see that, (g₂ = 4) and (g₁ = 2),

Or, [g₂ = (2 * 2)]

Or, [g₂ = 2g₁]

Similarly, (g₃ = 8),

Or, [g3 = (2 * 4)]

Or, [g₃ = 2g₂], it goes on for (gₙ).

Therefore, we can generalise (gₙ) as

[gₙ = 2*(gₙ₋₁)] where, (n = 2, 3, 4, 5...) and (g₁ = 2).

Here, (gₙ) can also modelled as a linear function and not as a exponential function (which goes in the form of "xⁿ").

Coming to the fourth statement, "Initially (aₙ) is greater than (gₙ), and as "n" gets larger, (gₙ) is greater than (aₙ)" is true, as from both the tables,

For (n = 5), [aₙ = a₅ = (a₄ + 5) = (25 + 5) = 30],

And [gₙ = g₅ = (2 * g₄) = (2 * 16) = 32], which is greater than 30,

Or, [(g₅) > (a₅)].

Similarly, for (n = 6), (a₆ = 35) while (g₆ = 64), i.e., [(g₆) > (a₆)], and it continues for greater values of "n".

Coming to the last statement, that [a₁₀ > g₆], is false. As we can observe from the both the tables and their sequence,

For (n = 5), (aₙ = 50), for (n = 6), (aₙ = 35), for (n = 7), (aₙ = 40), for (n = 8), (aₙ = 45), for (n = 9), (aₙ = 50) and for (n = 10), (aₙ = 55),

While on the other hand, for (n = 5), (gₙ = 32) and for (n = 6), (gₙ = 64).

Since (64 > 55), therefore, [(g₆) > (a₁₀)].

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Asymptote indicates that as time increases, the number of bacteria approaches 0.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Once an antibiotic is given, number of bacteria decreases at a rate of 15% /day.

There were about 15,000 bacteria prior to the treatment.

The line y = 0 is an asymptote of the graph.

The y-intercept is 15,000.

The y-intercept represents the number of bacteria when treatment began.

The asymptote indicates that as time increases, the number of bacteria approaches 0.

Hence, asymptote indicates that as time increases, the number of bacteria approaches 0.

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