I can type 50 words in 10 minutes. how long will it take me to write 150 words?​

Work Shown:

x = initial cost before any discounts

x-100 = cost after taking off $100

0.7(x-100) = cost after taking 30% off from the previous value

Therefore, we end up with h(x) = 0.7(x-100)

Optionally you could distribute to get h(x) = 0.7x-70, but I think the first version of this is a bit more descriptive.

the answer is 11

11x3= 33

33-12=21

Answer: 43

Step-by-step explanation:

use point slope from

y-y1 = m(x-x1)

slope = m = -8

point = (x1,y1) = (6,-5)

so plug it in

y+5 = -8(x-6)

find the y intercept just means x = 0, so plug it in

y+5 = -8(0-6)

y = -8(-6)-5

y=43

The given sequence's nth-term rule is 2 + 7n.

The first term in this series is nine, and the following term is sixteen. 16 - 9 = 7 is the difference between these two terms.

The common difference (d) is thus 7.

Now, we may apply the nth term of an arithmetic formula.

sequence:

\(a_n = a_1 + (n-1)d\)

where:

\(a_n\) = the nth term

\(a_1\) = the first term

d = the common difference

n = the number of the term we want to find

Substituting the values we have:

\(a_n\) = 9 + (n-1)7

Simplifying:

\(a_n\) = 9 + 7n - 7

\(a_n\) = 2 + 7n

The nth-term rule for this arithmetic sequence is as follows:

\(a_n\) = 2 + 7n

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The value of c that satisfies the equation  \(\sum_{n=1}^{\infty} e^{nc}=10\)  is approximately -0.0451.

What is a equation?

An equation is a mathematical statement that asserts the equality of two expressions.

To find the value of c such that the infinite series \(\sum_{n=1}^{\infty} e^{nc}\) is equal to 10, we can use the formula for the sum of an infinite geometric series with \(a = e^c\).

The formula for the sum of an infinite geometric series is given by:

S = a / (1 - r),

where S is the sum of the series, a is the first term, and r is the common ratio.

In this case, \(a = e^c\) and the common ratio \(r = e^c\).

We can rewrite the equation as:

\(10 = e^c / (1 - e^c)\)

Next, let's solve for c:

\(10(1 - e^c) = e^c\)

\(10 - 10e^c = e^c\)

\(10 = 11e^c\)

\(e^c = 10 / 11\)

Taking the natural logarithm (ln) of both sides:

\(c = ln(10 / 11)\)

Using a calculator, we can find the approximate value of c:

c ≈ -0.0451.

Therefore, the value of c that satisfies the equation  \(\sum_{n=1}^{\infty} e^{nc}=10\)  is approximately -0.0451.

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Given:

Find: alternate form of the given expression.

Explanation:

Final answer: the required expression will be

the five main functions of the reproductive system are:

The organs, glands, and tissues involved in childbirth (children). The ovaries, Fallopian tubes, uterus, cervix, and vagina are all parts of the female reproductive system. It includes the prostate, and testes in males.

Both the major and secondary, or accessory, reproductive organs are responsible for carrying out these tasks. The gonads, often known as the main reproductive organs, are made up of the ovaries and testes. The hormones, gametes (egg and sperm cells), and are produced by these tissues. These hormones have roles in the maturation of the reproductive system, the growth of sexual traits, and the control of the reproductive system's typical physiology. All additional reproductive glands, ducts, and organs are referred to as secondary or auxiliary reproductive organs. These structures support and transport gametes while also nourishing the growing offspring.

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Answer:

37.0149 kilometers

Step-by-step explanation:

Use statistical software or a calculator that allows for probability calculations. There are various options available such as Excel, SPSS, or online probability calculators.

To calculate the probability using technology, follow these steps:

Gather the values identified in previous steps that are required for the calculation.
Use statistical software or a calculator that allows for probability calculations. There are various options available such as Excel, SPSS, or online probability calculators.

Enter the necessary values into the software or calculator. These values will depend on the specific problem you are working on, such as the number of favourable outcomes and the total number of possible outcomes.

Follow the instructions provided by the software or calculator to compute the probability.

Most tools will have specific functions or formulas to calculate probabilities based on different scenarios (e.g., binomial, normal distribution, etc.).

Round the resulting probability to three decimal places as instructed.

By using technology and the values from previous steps, you can accurately calculate the probability by following these steps.

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The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.

To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.

We can use the equation: v² = u² + 2as

Substituting the given values, we have:

v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)

v² = 900 m²/s² - 600 m²/s²

v² = 300 m²/s²

Taking the square root of both sides, we find:

v = √300 m/s

v ≈ 17.32 m/s

Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.

In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

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Answer:

C. No, because one x-value corresponds to two different y-values

Step-by-step explanation:

One of the criteria to be a function is that there should be a unique solution for every x-value. From the table, there are two answers for x=3, which means that this table cannot represent a function

Y is between X and Z

The value of d=2 and the value of YZ = 16

Given :

Y is between X and Z.

XY = 11d, YZ = 9d – 2, XZ = 5d + 28

We need to find the value of d

we know that Y is between X  and Z

So, \(XZ=XY+YZ\)

Replace the given expression and solve for d

\(XZ=XY+YZ\\5d+28=11d+9d-2\\Combine \; like \; terms\\5d+28=20d-2\\Subtract \; 5d\\28=15d-2\\\\Add \; 2\\30=15d\\Divide \; by \; 15\\d=2\)

The value of d=2

Now we find out YZ using d=2

\(YZ=9d-2\\YZ=9(2)-2\\YZ=16\)

The value of YZ is 16

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Answer:

This needs more detail.

Step-by-step explanation:

Answer:

He invested approximately $2,215

Step-by-step explanation:

Mr Y invested $2000 in two accounts.

One pays 7%, and the other pays 5%.

At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.

Let the amount he invested be X, then

7% of X = 155

(7/100)X = 155

0.07X = 155

X = 155/0.07

= 2,215

He invested approximately $2,215

Answer:

It isn't factorable.

Step-by-step explanation:

Step 1: Write out expression

-625x⁴ + 1674

From here, the expression is already simplified/factored into it's final form. There is no way to reduce this.

Answer:

9

Step-by-step explanation:

6x+15=27

6x=27-15

6x=12

x=2

2x+5=(2)(2)+5

= 4+5

= 9

60,000 + 3,000 + 20 + 9

= 63,000 + 29

= 63,029.

Answer: 63,029

Hope this helps have A wonderful Christmas

Step-by-step explanation:

Answer:

(6, 1)

Step-by-step explanation:

x + 2y = 8

1. subtract 2y to get x alone -- x = -2y + 8

2. insert (-2y + 8) as x

2x - 2 = 10

2(-2y + 8) -2 = 10

3. distribute the 2

-4y + 16 - 2 = 10

4. combine like terms

-4y + 14 = 10

5. subtract 14 from both sides

-4y = -4

6. divide by -4

y = 1

7. plug y into any of the two original equations

x + 2(1) = 8

8. simplify

x + 2 = 8

x = 6

9. check answer with second equation

2(6) - 2 = 10

12 - 2 = 10

The number of asymptotes for a large gain, k value in a unity negative feedback system with an open-loop transfer function is zero.

In a unity negative feedback system, the closed-loop transfer function is given by the equation: T(s) = G/(1+GH). Where G is the open-loop transfer function and H is the feedback transfer function. In this case, since the feedback transfer function is -1 (negative feedback), we have:T(s) = G/(1-G). For a large gain, k value, the open-loop transfer function G approaches infinity. Therefore, the closed-loop transfer function simplifies to: T(s) = infinity/(1-infinity) T(s) = infinity.

This indicates that the system has zero asymptotes, meaning there are no poles or zeros at infinity in the transfer function. The absence of asymptotes implies that the system is stable and able to provide a good response without any oscillations or overshoots. Therefore, a unity negative feedback system with an open-loop transfer function has no asymptotes for a large gain, k value.

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Answer:

Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.

Step-by-step explanation:

Answer:

2109 meter squared

Step-by-step explanation:

\(Area \: of \: path \\ = (400+3)(300+3)-400 \times 300 \\ = 403 \times 303 - 120000 \\ = 122,109 - 120000 \\ = 2109 \: {m}^{2} \)

The hotel had 289 guests on the day in question. The z-score is a measure of how many standard deviations a data point is away from the mean of the distribution.

In this case, we are given that the number of guests in a hotel per day follows a normal distribution with a mean of 220 and a standard deviation of 30, and that the z-score of the number of guests on a particular day was 2.3.

Using the formula for z-score, we have:

z = (x - mu) / sigma

where x is the number of guests on the given day, mu is the mean of the distribution, and sigma is the standard deviation of the distribution.

Substituting the given values, we have:

2.3 = (x - 220) / 30

Multiplying both sides by 30, we get:

69 = x - 220

Adding 220 to both sides, we get:

x = 289

Therefore, the hotel had 289 guests on the day in question.

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Answer:

-2/5

Step-by-step explanation:

Answer:

x = -2/5 or -0.4

Step-by-step explanation:

The non-permissible replacement of the variable in a certain expression is the value of x that will make the denominator of the expression zero.

=============================================================

Then,

⇒ 5x + 2 = 0

⇒ 5x = -2

⇒ x = -2/5 or -0.4

The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

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Step-by-step explanation:

LHS= 1 + cot^2A/1+cosecA

=(1+cosecA + cot^2A)/1+cosecA

{By using basic trigonometric theorem cot^2A = cosec^2A - 1}

=(1+cosecA + cosec^2A - 1)/(1+cosecA)

=(cosecA + cosec^2A)/(1+cosecA)

=[cosecA (1+cosecA)]/(1+cosecA)

{Cancelling 1+cosecA}

=cosecA

The equation of the line is y = -1/4x + 15/4

From the question, we have the following parameters that can be used in our computation:

Slope = -1/4

Point = (3, 3)

The equation of a line is calculated using

y = m(x - X) + Y

Where

m = Slope = -1/4

(x, y) = Point = (3, 3)

Substitute the known values in the above equation, so, we have the following representation

y = -1/4(x - 3) + 3

So, we have

y = -1/4x + 3/4 + 3

Evaluate

y = -1/4x + 15/4

Hence, the equation is y = -1/4x + 15/4

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To convert from fluid ounces to milliliters the volume in ounces must be multiplied with 29.5735.

Volume(in milliliters) = Volume in ounces x 29.5735

In mathematics, "volume" is a mathematical quantity that describes the three-dimensional space occupied by an object or closed surface. Volume units are cubic units such as m3, cm3, and in3. 

Universal standard unit of volume

Volume is a measure of the three-dimensional space occupied by matter or enclosed by surfaces, measured in cubic units. The SI unit for volume is the derived unit, the cubic meter (m3). 

Conversion of volume from ounce to milliliters

As we know, 1 ounce = 29.5735

So to convert  ounces to milliliters use the formula below,

Volume(in milliliters) = Volume(in ounces) x 29.5735

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The probability that Amahle randomly selects a chocolate chip cookie from the bag, eats it, and then randomly selects an oatmeal cookie is 0.0068, rounded to 4 decimal places.

The probability that Amahle randomly selects a chocolate chip cookie and then an oatmeal cookie from a bag containing 7 chocolate chip cookies, 7 peanut butter cookies, 9 sugar cookies, and 8 oatmeal cookies can be calculated using the formula for conditional probability:

P(Oatmeal | Chocolate chip) = P(Chocolate chip and Oatmeal) / P(Chocolate chip)

The probability of selecting a chocolate chip cookie from the bag is 7/31, since there are 7 chocolate chip cookies in a bag of 31 total cookies. After Amahle selects and eats a chocolate chip cookie, there are 6 chocolate chip cookies and 30 total cookies remaining in the bag.

The probability of selecting an oatmeal cookie from the remaining cookies in the bag is 8/30, since there are 8 oatmeal cookies and 30 total cookies remaining.

Therefore, the probability of selecting a chocolate chip cookie and then an oatmeal cookie is:

P(Chocolate chip and Oatmeal) = (7/31) * (8/30) = 0.00678 (rounded to 4 decimal places)

The probability of selecting a chocolate chip cookie is 7/31, as mentioned earlier. Therefore, the probability of selecting an oatmeal cookie given that a chocolate chip cookie has been selected is:

P(Oatmeal | Chocolate chip) = (7/31) * (8/30) / (7/31) = 8/210 = 0.0381 (rounded to 4 decimal places)

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the probability of being broke at the end of the game is essentially 100%.

we can consider each coin flip as a separate event, with a probability of 0.5 for heads and 0.5 for tails. Let's calculate the probability of being broke at the end of the game.
First, we need to consider how many flips it would take to go from $60 to $0. If we keep losing $1 per flip, we would need to lose 60 times to reach $0. The probability of losing 60 times in a row is (0.5)^60, which is an extremely small number.
Secondly, we need to consider how many flips it would take to reach $100. If we keep winning $1 per flip, we would need to win 40 times to reach $100. The probability of winning 40 times in a row is (0.5)^40, which is also an extremely small number.
It is highly unlikely that someone would lose 60 times in a row, but it is still a possibility. As the number of flips increases, the probability of being broke becomes more and more certain.
In conclusion, while the probability of being broke at the end of the game is not exactly 100%, it is extremely close to that value.

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