She looks at her watch which says her elevation is 18 feet below sea level.8 seconds later her elevation is 20 feet below sea level.What rate is her elevation changing

d = 97°

Step-by-step explanation:

a and 79° are a linear pair and sum to 180° , then

a + 79° = 180° ( subtract 79° from both sides )

a = 101°

b and 79° are corresponding angles and are congruent , then

b = 79°

c and 83° are vertically opposite angles and are congruent , then

c = 83°

d and c are same- side interior angles and sum to 180° , then

c + d = 180° , that is

83° + d = 180° ( subtract 83° from both sides )

d = 97°

Answer:

Slope: -69

Y-intercept: -346 or (0, -346)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -69x - 346

    m = -69

    b = -346

The software engineers can be seated on a round table with no two civil engineers sitting together is 9!×10!/4!

Given, a company has 10 software engineers and 6 civil engineers.

we need to determine in how many ways can they be seated around a round table so that no two civil engineers will sit together.

10 software engineers can be arranged around a round table in :

=(10-1)!

= 9! ways .... eq(A)

Now, we must arrange the civil engineers so that no two can sit next to one another. In other words, we can place 6 civil engineers in any of the 10 *-designated roles listed below.

This can be done in ¹⁰P₆ ways ...(B)

From A and B,

required number of ways  = 9!×¹⁰P₆

= 9! × 10!/4!

Hence the number of ways the engineers can be seated is 9! × 10!/4!.

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Answer:

\(= \frac{6}{55}\)

Step-by-step explanation:

The computation of experimental probability is shown below:-

The Number of king in a well shuffled deck consists 52 cards which is

= 4

The Number of ways of drawing consists of 4 king in 13 repetitions which is

= \(^{13}C_4\)

In 13 repetition, 2 kings are drawn by \(^{13}C_2\) way

Now,

\(P(E) = \frac{^{13}C_2}{^{13}C_4} = \frac{13 !} {(13-2) ! } / \frac{13 !}{(13 - 4)! 4!}\)

\(= \frac{13 !}{11 !\ 2 !} / \frac{13 !}{9 !\ 4 !}\)

\(= \frac{9 !\ 4 !}{11 !\ 2!}\)

\(= \frac{4\times 3}{11\times 10}\)

\(= \frac{6}{55}\)

Therefore for computing the experimental probability we simply applied the above formula.

Answer:

2/13

Step-by-step explanation:

^

9514 1404 393

Answer:

  68.6 m/s

Step-by-step explanation:

The speed at a given time is the derivative of the height at that time.

  dh/dt = -9.8t

At t=7, the speed is ...

  -9.8(7) = -68.6 . . . . . meters per second (downward)

The speed is 68.6 meters per second.

_____

Additional comment

Height is considered to be positive in the up direction, so velocity and acceleration are also positive in the up direction. The derivative of height will be the velocity. Its negative sign in this case indicates the object is moving in the downward direction. The speed is the magnitude (absolute value) of the velocity.

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.

If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.

However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.

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Answer: y = -0.5x +1

Step-by-step explanation:

Answer:

(-3, -2)

Step-by-step explanation:

The point is at -3 on the x, and -2 on the y. make sure to include x first in the coordinates! (x, y)

brainliest plz if someone else answers

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer:

51

Step-by-step explanation:

68/4=17

68-17=51

Answer:

Paula's dog weighs 51 pounds.

Carla's dog weighs 17 pounds.

17 times 3 equals 51.

Then 17 added to 51 equals to 68.

Answer:

62.5%

Step-by-step explanation:

150/240=0.625

you do 0.625x100 to get the percent.

Answer:

52%

Step-by-step explanation:

If 25% is the 100% only multiply 13 by 4 and thats it

Answer:

Step-by-step explanation:

Let the missing side is x.

According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than  the third side.

We have inequalities:

The common solution is:

Answer:

60 ÷ 15

= 4 mins

the constant of proportionality for the number of 4 minutes to read 1 page.

Required Answers :

1. 2x + 4 = 10

\(\: :\implies \) 2x = 10 - 4

\(\: :\implies \) 2x = 6

\(\: :\implies \) x = 6/2

\(\: :\implies \) x = 3.

Hence, Option (A) x = 3 is the answer.

2. 25/5 × 7 = ?

\(\: :\implies \) 5 × 7

\(\: :\implies \) 175/5

\(\: :\implies \) 35

Hence, The required answer is 35.

3. 100 - 50 + 10 - 5 = ?

\(\: :\implies \) 50 + 5

\(\: :\implies \) 55

Hence, Option (A) 55 is the answer.

4. 24 / 6 = ?

\(\: :\implies \) 24 ÷ 6

\(\: :\implies \) 4

Hence, Option (A) 4 is the answer.

5. A triangle has base 6 inches and height 8 inches. What is the area?

Area of triangle = ½ × Base × Height

\(\: :\implies \) 1/2 × 6 × 8

\(\: :\implies \) 1/2 × 48

\(\: :\implies \) 48/2

\(\: :\implies \) 24 sq. in

Hence, Option (A) 24 sq in is the answer.

6. What is the greatest common factor of 36 and 56?

36 = 1,2,3,4,6,9,12, 18 and 36.

56 = 1,2,4,7,8,14,28 and 56.

Hence, Option (A) 4 is the answer.

7. What is the square root of 121?

\(\: :\implies \) 11 × 11

\(\: :\implies \) 121

Hence, (A) 11 is the answer

8. If 2x + 4 = 14, what is x?

\(\: :\implies \) 2x + 4 = 14

\(\: :\implies \) 2x = 14 - 4

\(\: :\implies \) 2x = 10

\(\: :\implies \) x = 10/2

\(\: :\implies \) x = 5

Hence, Option (A) 5 is the answer

9. (3x - 5) + (7x + 1) = ?

\(\: :\implies \) 3x - 5 + 7x + 1

\(\: :\implies \) 10x - 5 + 1

\(\: :\implies \) 10x - 4

Hence, Option (A) 10x - 4 is the answer.

10. What fraction is 5/12?

\(\: :\implies \) 1/2 (approximately)

Hence, Option (A) 1/2 is the answer.

After simplifying an equation the value of x is x = 3.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

Consider, the given equation

     5(2x - 4) = 10

      10x - 20 = 10                                  Removing parenthesis

10x -20 + 20 = 10 + 20                         Adding 20 on both sides

              10x = 30                                 Simplifying

                  x = 3                                    Dividing both sides by 10

Hence, the value of x is, x = 3.

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Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

The village market

Step-by-step explanation:

Price per can at the village market

= 2.30÷5

= $0.46

Price per can at Best Food

=5.10÷10

= $0.51

Answer:

Village market

Step-by-step explanation:

Find the unit rate at village market and Best food and compare.

Village market:

Rate per can  = 2.30 ÷ 5

                      = $ 0.46

Best food:

Rate per can = 5.10 ÷ 10

                     = 0.51

0.46 < 0.51

Buying can from village market is best buy as that is less priced

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Given difference quotient is f(x) = -x²+2x+5.

Simplified version is (f(x + h) - f(x))/h = 1.

If f(x) = x - 5, then

f(h) = h - 5

f(x + h) = (x + h) - 5

(f(x + h) - f(x))/h = (((x + h) - 5) - (x - 5))/h

(f(x + h) - f(x))/h = (x + h - 5 - x + 5)/h

(f(x + h) - f(x))/h = h/h

(f(x + h) - f(x))/h = 1

since h ≠ 0.

The average rate of change of the function over an interval is measured by the difference quotient (in this case, an interval of length h). The instantaneous rate of change is hence the limit of the difference quotient (i.e., the derivative).

The slope of secant lines can be calculated using the difference quotient. Almost identical to a tangent line, a secant line traverses at least two points on a function.

That equation is known as a difference quotient because both the numerator and denominator are differences.

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Answer:

x=64

Step-by-step explanation:

I solved the equation for you

Your welcome and i hope it helps! :)

Answer:

here you go

Step-by-step explanation:

Hello!

x = the intersection

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

Answer: X=4

Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4

Answer:(2,-3)

Step-by-step explanation:

Answer:

The total cost per month is $190.76 to the nearest cent.

Step-by-step explanation:

From the given table, the monthly service plan costing $52.00 is:

The base calling plan includes two lines.

Therefore, for 4 lines, we will need to pay for 2 additional lines per month:

⇒ $21.99 × 2 = $43.98 per month

If 3,487 minutes are used per month, then the overage of minutes is:

⇒ 3487 - 2000 = 1487 minutes per month

As the overage rate is $0.06 per minute, then the cost of the additional minutes is:

⇒ 1487 × $0.06 = $89.22 per month

Therefore, the total cost per month before tax is:

⇒ $52.00 + $43.98 + $89.22 = $185.20

To apply the federal tax of 3%, multiply the total cost by 1.03:

⇒ $185.20 × 1.03 = $190.756 = $190.76 (nearest cent)

Therefore, the total cost per month is $190.76 to the nearest cent.

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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