A tortoise walks 52.0 feet per hour. Convert this speed into inches per minute.

P < Q because 7.8 < 19.3

The density of the object does not change regardless of how much material the object has. A 100 gram block of iron will have the same density as a 200 gram block of iron. The density of iron will stay at 7.8 grams per cm^3. The same idea applies to the silver.

The density measures how packed a material is. The larger the density, the more molecules occupy the certain amount of volume.

A similar term is "population density" which measures how many people live in a certain area. It measures how packed a place is. A rural town will have low population density, while a big city has a high population density.

Answer:

$322000

Step-by-step explanation:

A woman owns the W½ of the NW¼ of the NW¼ of a section.

= 640/2/4/4 = 20 acres

She wants to buy remaining of NW 1/4  = 640/4-20 = 140 acres.

It would cost = 140*2300 = $322000

Therefore, it cost $32000 to purchase the part.

Calvin's age is now 23 years old.

9 years ago, Dallas was 3 times Calvin's age, which was 11.

Therefore, 9 years ago, Dallas was 33. 32 years ago, when Calvin was 0, Dallas was 32.

Since then, Dallas has aged 1 year for every year Calvin has aged, so Calvin is now 23 and Dallas is 55.

This problem can also be solved using algebra. Let x be Calvin's age now, and y be Dallas' age 9 years ago. We can then set up the following equation:

x + 32 = 3(y - 9)

We can simplify this to x + 32 = 3y - 27 and solve for x:

x = 3y - 27 - 32

Plugging in the given information that y = 33, we get:

x = 3(33) - 27 - 32 = 23

Therefore, Calvin is currently 23 years old.

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The first step to solve the equation is;

⇒ ''Change 14 1/10 to 14.1''

What is Mixed fraction?

A fraction which is represented with its quotient and remainder is called a mixed fraction.

The problem is given as,

40.8 - 14 1/10

Now, To solve the equation we have firstly change 14 1/10 as

40.8 - 14 1/10

40.8 - 14.1

Then, Subtract the numbers as,

26.7

Solution of the problem is 26.7.

So, The first step to solve the equation is;

⇒ ''Change 14 1/10 to 14.1''

Option 4 is true.

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The number of three digit numbers that are made up of three distinct digits is 648.

To determine the number of three-digit numbers made up of three distinct digits, we can consider the following:

For the hundreds place, we have 9 options (1-9) since it cannot be zero.

For the tens place, we have 9 options (0-9) excluding the digit chosen for the hundreds place.

For the units place, we have 8 options (0-9) excluding the two digits chosen for the hundreds and tens places.

Using the multiplication principle, we multiply the number of options for each place:

9 × 9 × 8 = 648

Therefore, there are 648 three-digit numbers that are made up of three distinct digits.

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Answer:

a=75

Step-by-step explanation:

Answer:

BE and CD is a pair of congruent line segments because they are equal in length.

Hope it helps :-)

The pine trees will be of equal height after 3 years.

Let x be the number of years required for the trees to be of equal height. Then, the height of the tree of variety A is given by H = 15 + 10x. Similarly, the height of the tree of variety B is given by H = 4 + 20x.

To find the value of x, we can equate these two equations as shown below: 15 + 10x = 4 + 20x11 = 10x x = 11/10. Thus, it will take 11/10 years for the trees to be of equal height. Converting this into months gives 11/10 × 12 = 13.2 months. Therefore, it will take about 13.2 months or 3 years for the trees to be of equal height.

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Answer:

36

Step-by-step explanation:

Mason's mom is 36

9 x 4 = 36

a. Income tax is the amount of money that an individual is required to pay to the government based on their income.

b. Ramesh's total income in 13 months, including the festival expense, is found as Rs 593,857.

c.   Ramesh's annual income tax, considering the investment in citizens' investment fund, is Rs 85,000.

a. Income tax is described as the amount of money that an individual is required to pay to the government based on their income.  found  using a specific tax rate applied to different income brackets.

b.

Monthly income = Salary + Dearness allowance

= Rs 43,689 + Rs 2,000

= Rs 45,689

Total income for 13 months = Monthly income * 13

= Rs 45,689 * 13

= Rs 593,857

c.

Total income after deducting citizens' investment fund = Total income - Investment amount

= Rs 593,857 - Rs 2000

= Rs 591,857

Hence, the income tax based on the revised total income is:

Tax for income upto 5 lakh which is 1% of the income

= 0.01 * 500000

= Rs 5,000

Tax for income from 5-7 lakh which is the 10% of the income

= 0.1 * 200000

= Rs 20,000

The Tax for income from 7-10 lakh: 20% of the income

= 0.2 * 300000

= Rs 60,000

The Tax for income from 10-20 lakh is 30% of the income

= 0.3 * 0

= Rs 0

The total income tax = Rs 5,000 + Rs 20,000 + Rs 60,000 + Rs 0 + Rs 0

= Rs 85,000

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The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Answer:

I would recommend that Elena does the right side first because in math the distributive property always comes first.

Step-by-step explanation:

Answer:

1. 900

2. 350

Step-by-step explanation:

the formula,

A= P(1+rt)

A= final amount

P= starting amount

r= intrest rate

t= time

1. A=750(1+.05*4)

A=750(1.2)

A=900

2. A=1500(1+.1*2)

A=1500(1.1)

A=1650

But theyre

asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned

1650-1500=350

In summary, step 4b is justified by using the addition property of equality and factoring the polynomial expression to identify a common factor that can be added to both sides of the equation.

Step 4b is a step in solving an equation, and it involves adding the same quantity to both sides of the equation in order to isolate the variable on one side. This step can be justified by using the addition property of equality, which states that if you add the same quantity to both sides of an equation, the equality is still maintained.

In this specific case, we are adding a polynomial expression to both sides of the equation. This can be done using the polynomial multiplication property of equality, which states that if you multiply both sides of an equation by the same polynomial, the equality is still maintained. However, since we are adding rather than multiplying, this property is not directly applicable.

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The factor which cause the population change in 1/2 hour is "multiply by approximately 2.236" or "increase by a factor of approximately 2.236."

The bacteria population is growing exponentially at a rate of 5 per hour.

Therefore, in half an hour, the population would increase by a factor of 5 raised to the power of 0.5 (since 1/2 hour is half of 1 hour).

This is equivalent to the square root of 5, which is approximately 2.236. So the population would increase by a factor of approximately 2.236 in half an hour.

This means that if the initial population was, say, 100 bacteria, then in half an hour it would be approximately 223.6 bacteria (i.e. 100 multiplied by 2.236).

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Answer:

Step-by-step explanation:

Pi*r^2 = Area

20.5^2 * Pi = 1320.25

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer:

distributive property

Step-by-step explanation:

distributive property, because 4 carries over to each variable and then the two product are added.

4(x+y)=4x+4y

Answer:

To solve for x in 2a we need to set up an equation.

Since there are two equations with x that form a straight angle(180) we can make an equation by adding the given equations to making it equal 180.

(21x - 3) + (5x + 1) = 180

combine like terms

26x - 2 = 180

inverse property of subtraction is addition:

+2            +2

26x = 182

inverse property of multiplication is division:

/26     /26

X = 7

Now to solve for y in 2a:

Same concept, both equations that contain the variable y will be a striaght angle(180) so we form the equation by adding the given equations with the variable y to equal 180(straight angle).

(4y) + (17y - 9) = 180

combine like terms

21y - 9 = 180

inverse operation of adding is subtracting

+9             +9

21y = 189

Inverse property of multiplying is dividing

/21    /21

y = 9

*I'm sorry I can only help you with 2a*

for 2b use the same idea as I did with 2a or seek help from guardian members

Answer: 2.10x4=8.4

8.4+3.20=$11.6

$11.60 is the answer

Step-by-step explanation:

It will cost $11.6 to send 4 small packages and 1 large package.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Keisha is mailing packages.

Each small package costs her $2.10 to send.

Each large package costs her $3.20.

If she sends 4 small packages and 1 large package, then the amount,

= $2.10(4) + $3.20.

= $11.6

Therefore, $11.6 is the cost of the total package.

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The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.

The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.

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Answer: A = 55* or 55 degrees

Step-by-step explanation:

The interior angles of a triangle always have a sum of 180 degrees.

75 + 50 + x = 180

Solve for x

FInal answer: 55 degrees

hope i explained it :)

Answer:18/35

Step-by-step explanation: 6*3 = 18

7*5 = 35

18 /35

Answer: 18/35

Step-by-step explanation:

6*3=18

7*5=35

18/35

Answer:

Step-by-step explanation:

The probability that fewer than 70 out of 400 households are watching the series, use =BINOM.DIST(69,400,0.2,TRUE) in Excel.

To solve this problem using Excel, you can utilize the binomial distribution function. The binomial distribution calculates the probability of obtaining a certain number of successes in a fixed number of trials, given a specific probability of success.

In this case, the probability of a household watching the series on a regular basis is 20%, or 0.2. You want to find the probability that fewer than 70 households out of 400 are watching the series regularly.

To calculate this probability in Excel, you can use the following formula:

=BINOM.DIST(69,400,0.2,TRUE)

Here's how the formula works:

The number 69 represents the maximum number of successes (households watching the series) you want to calculate the probability for (fewer than 70).

The number 400 represents the total number of trials (randomly selected households).

The number 0.2 represents the probability of success (probability of a household watching the series on a regular basis).

TRUE as the fourth argument specifies that you want to calculate the cumulative probability of getting fewer than 70 successes.

By entering this formula in an Excel cell, you will obtain the probability rounded to four decimal places.

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Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

Answer:

12

5

Step-by-step explanation:

if 8 chests = 4hrs

then X chests= 6hrs

cross multiply

48=4x

divide by 4

X= 12

repeat the same for the second using any and you'd get 5