please solve this it an urgent maths question

So the final expression is: (change in y/y) = n (change in a/a).

We can start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(aⁿ)

Using the rule that ln(aⁿ) = n ln(a), we can simplify this to:

ln(y) = n ln(a)

Next, we can take the derivative of both sides with respect to a:

d/d(a) ln(y) = d/d(a) (n ln(a))

Using the chain rule, we can simplify the right-hand side to:

d/d(a) ln(y) = n (1/a)

Now, we can multiply both sides by a/y:

a/y * d/d(a) y = n(a/y) * (1/a)

Simplifying, we get:

dy/y = n da/a

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Answer:

Your correct answer is 5.

Step-by-step explanation:

8 - 5 = 3

3 + 2 = 5

Therefore, your correct answer is 5.

12 inches in length and 3 inches in width when a rectangle's length is 4 inches longer than its width.

Given that,

A rectangle's length is 4 inches longer than its width. The area of rectangle is equal to 4 inches less than 2 times the perimeter of rectangle.

We have to find what is the length and width of rectangle.

We know that,

Let take length as l and width as w.

l=4w

Area of rectangle is l×w

Perimeter of rectangle is 2(l+w)

So,

l×w=2(2(l+w))-4

l×w=4(l+w)-4

Take l as 4w

4w×w=4(4w+w)-4

4w²=4(5w)-4

4w²=20w-4

4w²-20w+4=0

w²-5w+1=0

w=3

So,

l=4w

l=12

Therefore, 12 inches in length and 3 inches in width when a rectangle's length is 4 inches longer than its width.

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Answer:

$65.25

Step-by-step explanation:

To find 45% of $45:

45÷100 = 0.45

0.45 x 45 = $20.25

Now add to original price:

$45+$20.25 = $65.25

The worth of the horse is 1800 dollars

Given that a cowboy worked for one year for 19,200 plus a horse.

After 7 months, he quit and was paid 10,450 but got to keep the horse.

We need to find the worth of the horse.

Here, the horse is part of the payment in total, so it has to be used as a variable when setting up the proportion.

Let us consider the net worth of the horse to be H

solving for H,

[19,200 + H] / 12 = [10,450 + H] / 7

Now, cross multiply

134,400 + 7H = 125,400 + 12H

134,400 - 125,400 = 12H - 7H

9,000 = 5H

H = 9,000 / 5

H = $1,800

Hence, the net worth of the horse, H is $1,800.

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Answer:

Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.

Step-by-step explanation:

Answer:

Graph F

Step-by-step explanation:

The image is quite blurry.

But since in the equation there is no equal to \(\leq\) symbol and the absolute value of x is greater than ten, Graph F seems to be the best option.

Answer:

graph f

Step-by-step explanation:

The control limits that include 95% of the sample means be,

(19.9671 , 20.0329).

Given, each of 20 people generated a random sample of whole numbers and constructed a 95% confidence interval for the proportion that are odd.

we have to find the confidence interval under confidence of 95%.

Subtract 1 from your sample size. 25 – 1 = 24. This gives you degrees of freedom.

Subtract the confidence level from 1, then divide by two.

(1 – 0.95) / 2 = 0.05

For 24 degrees of freedom (df) and α = 0.05, the result is 1.645.

Divide your sample standard deviation by the square root of your sample size.

0.1 / √(20) = 0.02

Now, 0.02 × 1.645 = 0.0329

The lower end of the range

20 – 0.0329 = 19.9671

The upper end of the range

20 + 0.0329 = 20.0329

Hence, the confidence interval be, (19.9671 , 20.0329)

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Answer:

2 and -9

Step-by-step explanation:

Answer:

47,433.0 feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Height of the plane = opposite = 17000feet

distance between the plane and the airport = hypotenuse = x

Angle of depression = 21 degrees

Since Sin theta = opp/hyp

Sin 21 = 17000/x

x = 17000/sin21

x = 17000/0.3584

x = 47,433.0

Hence the distance between the plane and the airport to the nearest 10th of a foot is 47,433.0 feet

Answer:

47437.3

Step-by-step explanation:

Answer:

$5.05

Step-by-step explanation:

So we know that Esther has to save 65.65 dollars in 13 weeks.

If we want to find out how much money she needs to save up each week then we have to divide 65.65 into 13 weeks ofc.

If we divide 65.65 by 13 we get 5.05 so 5 dollars and 5 cents.

If we check our answer to find out if this is the correct answer we can just multiply 13 by 5.05  and it will of course give you 65.65

So, if Esther wants to save $65.65 in 13 weeks she will have to save up $5.05 each week.

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3Answer:

7%, 1/12, 0.1, 2/9, 0.26, 1/3

Step-by-step explanation:

To solve this question, the first step is converting all numbers into decimals.

7% = 0.07

1/3 = 0.33

0.1

0.26

1/12 = 0.083

2/9 = 0.2222

Now we can sort them, from least to greatest, leaving us with:

7%, 1/12, 0.1, 2/9, 0.26, 1/3

Converting fractions to decimals

1/3

1/3 is one divided by three

1/12

This is one divided by 12.

The z-values that correspond to the outside 20% of the standard normal distribution are approximately -1.28 and +1.28.

In the standard normal distribution, the outside 20% corresponds to the two tails of the distribution.

Using a standard normal distribution table, the z-value that corresponds to the lower 10% tail (outside area) is approximately -1.28. This means that about 10% of the data falls below this z-value.

The z-value that corresponds to the upper 10% tail (outside area) is the opposite of the lower tail z-value, which is approximately +1.28. This means that about 10% of the data falls above this z-value.

Therefore, the z-values that correspond to the outside 20% of the standard normal distribution are approximately -1.28 and +1.28.

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Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer:

exact form:\(\frac{13}{28}\)

Decimal form:0.4642857143

Step-by-step explanation:

People may have a bias towards whether they read fast or slower on purpose because they believe they will retain more information that way (each person is different). If your taking a wpm test, for example, you won't pay attention to comprehension, only speed. Another bias is the type of book your reading and whether you enjoy it. Studies prove that you tend to soak in more information and read faster when you are enjoying the book.

The most effective design to test the effects of the new weight loss program would be a randomized block design experiment.

A randomized block design experiment would be the most effective in this scenario because it allows for the control of potential confounding variables, such as gender, while also incorporating randomization.

1. Gender Division: The researchers first divide the participants into groups based on gender. This ensures that there is a balanced representation of both males and females in the study.

2. Random Assignment: Within each gender group, participants are randomly assigned to either the treatment group or the control group. Random assignment helps minimize any systematic differences between the groups, ensuring that any observed effects can be attributed to the weight loss program rather than other factors.

3. Blocking: Gender is considered a blocking factor in this design. By blocking, the researchers ensure that each treatment group and control group includes an equal number of males and females. This helps control for any potential differences between genders that could influence the outcome.

4. Control Group: The control group serves as a baseline comparison for the treatment group. Participants in the control group do not receive the weight loss program but instead receive a placebo or standard care. This allows for a comparison of the effects between the treatment and control groups.

5. Data Analysis: The data collected from this design can be analyzed using appropriate statistical tests, such as t-tests or analysis of variance (ANOVA), to determine if the weight loss program has a significant effect on the outcome variable.

Overall, a randomized block design experiment is the most effective approach in this scenario as it incorporates randomization, controls for potential confounding variables (gender), and allows for a comparison between treatment and control groups.

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a. The probability that the player will hit on the 1st throw and miss on the 2nd throw, expressed in probability language, is P(Hit 1st Throw ∩ Miss 2nd Throw) = 0.29 or 29%. b. The probability that the player will hit on at least one of the two free throws is P(Hit at least one Throw) = 0.91 or 91%, which is obtained by subtracting the probability of missing both throws from 1.

a. To write the probability of the player hitting on the 1st throw and missing on the 2nd throw in probability language, you can express it as the probability of the intersection of the two events.

In this case, it would be written as P(Hit 1st Throw ∩ Miss 2nd Throw). The calculated probability of 0.29 or 29% can be substituted, resulting in P(Hit 1st Throw ∩ Miss 2nd Throw) = 0.29.

b. To determine the probability that the player will hit on at least one of the two free throws, you can consider the complement of the event where she misses both throws.

The complement of an event A is written as A'. In this case, you need to find P(Hit at least one Throw) or 1 - P(Miss both Throws). Using the given probabilities, P(Miss both Throws) = 0.09. Therefore, P(Hit at least one Throw) = 1 - P(Miss both Throws) = 1 - 0.09 = 0.91 or 91%.

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Hunter will pay approximately $1,733.74 per month for the mortgage.

Hunter is buying a house for $200,000 and making a $10,000 down payment, so the loan amount is $200,000 - $10,000 = $190,000. Hunter has a 15-year mortgage at a 7% interest rate. The interest rate is given in annual terms, so we need to convert it to a monthly rate by dividing it by 12 (months in a year). The monthly interest rate is 7% / 12 = 0.58333%.

To calculate the monthly payment, we can use the formula for a fixed-rate mortgage:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1 ],

where:

M = monthly payment,

P = loan amount,

i = monthly interest rate,

n = total number of monthly payments (loan term in months).

Plugging in the values, we have:

M = $190,000 [ 0.0058333(1 + 0.0058333)^180 ] / [ (1 + 0.0058333)^180 - 1 ].

Evaluating this expression, we find that M is approximately $1,733.74 per month. Therefore, Hunter will pay around $1,733.74 per month for the mortgage.

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Answer:

50 degrees

Step-by-step explanation:

Answer:

I think its C. but if its wrong im so sorry bc im not 100% sure but if it isnt C. then try B. idrk the answer but thats what im thiking its either C or D im not 100% sure hope this helped in some kind of way i tried :/..

Step-by-step explanation:

Names of various geometric figures :Point, Line ,Line segment ,Ray, Angle ,Triangle ,Quadrilateral, Pentagon ,Hexagon and Circle

However, you didn't provide specific terms to include in the answer.

Regardless, I'll provide you with a list of common geometric figures:
1. Point: A single location in space.
2. Line: A one-dimensional figure that extends infinitely in both directions.
3. Line segment: A portion of a line with two endpoints.
4. Ray: A portion of a line with one endpoint and extends infinitely in the other direction.
5. Angle: Formed by two rays that share a common endpoint
6. Triangle: A polygon with three sides and three angles.
7. Quadrilateral: A polygon with four sides and four angles.
8. Pentagon: A polygon with five sides and five angles.
9. Hexagon: A polygon with six sides and six angles.
10. Circle: A closed curve with all points equidistant from a fixed point called the center.

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To measure out exactly 1 gallon of water we need exactly six possible number of moves.

To measure out exactly 1 gallon of water using two jugs, one with a 3-gallon capacity and one with an 5-gallon capacity, you can follow some steps

Fill the 5-gallon jug with water completely. Pour the water from the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of water in the 5-gallon jug.

Empty the 3-gallon jug completely. Pour the 2 gallons of water from the 5-gallon jug into the empty 3-gallon jug.

Fill the 5-gallon jug with water again. Pour water from the 5-gallon jug into the 3-gallon jug until it is full, which will leave exactly 1 gallon of water in the 5-gallon jug.

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Answer:

Step-by-step explanation:

12x11x18=2376m3