Martin is building a rectangular fire pit in his backyard. He dug a hole 30 inches by 30 inches. He decides to make each side of the pit 6 inches longer.


What is the percent increase in the area of the fire pit?

Answer: 1/5

Step-by-step explanation:

Let the amount of rainfall in the second half of the month be represented by x.

From the information given in the question, the equation formed will be:

3/10 + x = 1/2

x = 1/2 - 3/10

x = 5/10 - 3/10

x = 2/10

x = 1/5

Therefore, the answer is 1/5

Answer:

the unit rate, in chapters per hour, would be how many chapters in one hour --- but, for 23 chapters/78 hours = this fraction (23/78) is already in simplified (i.e., reduced) form --- i.e., 23 is prime, and 78 = 2(39) = 2(3)13, so 23 and 78 contain no factors in common --- so, the unit rate would be (23/78) chapters per hour --- if the problem had been, for example, 23 chapters in 69 hours, then the unit rate would have been (23/69) chapters per hour = (1/3) chapters per hour, or one chapter every 3 hours (though this is not a unit rate)

Step-by-step explanation:

im wrong but make sure u solve it and see if e  

GiveN:

To Find:

Step-wise-Step Explanation:

Considering that Isabel reads the book at a constant rate or we can say that no. of books she read is same for all the 8 hours.

⇒ In 8 hours = 24 chapters

⇒ In 1 hour = 24 / 8 chapters

⇒ In 1 hour = 3 chapters

That means, Isabel reads 3 chapters per hour with the same pace. The Question can be simply solved by using Unitary method\(.\)

Answer:

Neither

Step-by-step explanation:

None of them have the same angles as triange ABC.

Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

Answer:

y = -2

Step-by-step explanation:

The line x = -3 is a vertical one; the slope of a line perpendicular to x = -3 is zero (0).  Recall that the slope of a vertical line is undefined and that of a line perpendicular to a vertical line is 0.

Then, to write the equation of the perpendicular line, we borrow the '-2' from (-9, -2) and write y = -2.  This line does indeed pass through (-9, -2) and every other point whose y-component is -2.

Answer:

4 = 8b >> b = 1/2 or 0.5

Step-by-step explanation:

A) Pansy Meadows Primary Care Clinic's total revenue per month is $10,000. B) The clinic's monthly profit is a loss of $15,000. C)  if the commercial insurance company changes the reimbursement rate to $65, the monthly profit would be $30,000. D) if all commercially insured patients are covered by a capitated contract, the monthly profit would be a loss of $33,000.

To calculate the clinic's total revenue, monthly profit/loss, and the impact of changes in reimbursement rates, we'll use the given information and perform the necessary calculations.

Given:

Number of office visits per month = 1000

Fixed costs = $25,000 per month

Variable costs per office visit = $10

A) Total revenue per month:

Revenue per office visit = $10 (variable cost per visit)

Total revenue per month = Revenue per office visit * Number of office visits per month

Total revenue per month = $10 * 1000

Total revenue per month = $10,000

Therefore, Pansy Meadows Primary Care Clinic's total revenue per month is $10,000.

B) Monthly profit (loss):

Profit (loss) = Total revenue per month - Fixed costs - (Variable costs per office visit * Number of office visits per month)

Profit (loss) = $10,000 - $25,000 - ($10 * 1000)

Profit (loss) = -$15,000

Therefore, the clinic's monthly profit is a loss of $15,000.

C) Impact of changing the commercial insurance reimbursement rate to $65:

To determine the impact on profitability, we need to recalculate the monthly profit using the new reimbursement rate.

New total revenue per month = $65 * 1000 = $65,000

Profit (loss) = New total revenue per month - Fixed costs - (Variable costs per office visit * Number of office visits per month)

Profit (loss) = $65,000 - $25,000 - ($10 * 1000)

Profit (loss) = $30,000

Therefore, if the commercial insurance company changes the reimbursement rate to $65, the monthly profit would be $30,000.

D) Impact of all commercially insured patients being covered by a capitated contract:

i. Monthly revenue:

Revenue per patient per month = $2 (capitated payment per patient)

Monthly revenue = Revenue per patient per month * Number of office visits per month

Monthly revenue = $2 * 1000

Monthly revenue = $2,000

ii. Monthly profit/loss:

Profit (loss) = Monthly revenue - Fixed costs - (Variable costs per office visit * Number of office visits per month)

Profit (loss) = $2,000 - $25,000 - ($10 * 1000)

Profit (loss) = -$33,000

Therefore, if all commercially insured patients are covered by a capitated contract, the monthly profit would be a loss of $33,000.

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Solution: 8p+44

Detailed explanation:

First we can "expand" by multiplying 6 times the parentheses and then 2 times the other set of parentheses.

\(--\mapsto\boldsymbol{6(p+6)+2(p+4)}\\\\---\mapsto\boldsymbol{6p+36+2p+8}\)

To make life easier let's just put the p's next to each other.

\(--\mapsto\boldsymbol{6p+2p+36+8}\)

Now let's add the p's

\(---\mapsto\boldsymbol{8p+44}\)

Voila! There's our answer!

__________________

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

____________________

Answer:

4 cm

Step-by-step explanation:

So we can say that width=x.

So 2x+2(3x+6)=44

2x+6x+12=44

8x+12=44

8x=32

x=4

Answer:

BE, BD, BC, BA

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

the slope is 2/4, so then you need to reduce that and it reduces to 1/2.

Answer:

the third graph is correct

Step-by-step explanation:

edge

the second part is x<1

Answer:

the third graph and the send part it is x<1

Step-by-step explanation:

Answer:

n=-8

Step-by-step explanation:

n/8 - 10 = -11

add 10 to both sides

n/8=-11+10

n/8=-1

multiply eight by both sides to cancel it out to get n by itself

n/8 x 8 and -1x8

-1x8=-8

n=-8

Answer:

width = 9 ft

Step-by-step explanation:

Area = 135 ft².

if width = 'w', then length = w + 6.

Therefore, area = length × width = (w+6)w = 135.

\(w(w+6)=135\\w^2+6w-135=0\)

This is where the equation in the question comes from.

To solve this, we can factorise the quadratic equation. Using the 'splitting the middle' method, we can split the middle term into two terms, by finding 2 integers that multiply to give -135, and add to give 6, noting that the constant term is negative, so one of the integers will be negative and the other, positive. We get:

15, -9.

Therefore: we can now group the terms in pairs, and factorise each term by taking the common factor out, then factorising the result again.

\(w^2+6w-135=0\\w^2+15w-9w-135=0\\w(w+15)-9(w+15)=0\\(w+15)(w-9)=0\)

Now we can solve this quadratic equation to get the value of 'w'.

\((w+15)=0, (w-9)=0\)

∴\(w=-15, w=9\)

But since we are looking for a measurement/dimension, -15 is not applicable and width = 9 ft.

Answer:

x = 12

Step-by-step explanation:

Multiply 5/2 (1/10x). 5/2 * 1/10x = 1/4x

Equation:

4 - 1/4x = 1

Simplify into this:

3 = 1/4x

x = 12

Answer: B

Step-by-step explanation:

Let us write down the coordinates of the snow tubing and the ski lift.

Ski Lift = (3 , -4)

Snow Tubing = (3, 3)

We want to find the distance, which can be found by subtracting their y coordinates from each other.

-4 - 3 = 7

or

3 - (-4 ) = 7

If you can, you can always count the squares away each point is from each other. The answer is B - 7 miles.

Answer:

B

Step-by-step explanation:

Let us write down the coordinates of the snow tubing and the ski lift.

Ski Lift = (3 , -4)

Snow Tubing = (3, 3)

We want to find the distance, which can be found by subtracting their y coordinates from each other.

-4 - 3 = 7

or

3 - (-4 ) = 7

If you can, you can always count the squares away each point is from each other. The answer is B - 7 miles.Let us write down the coordinates of the snow tubing and the ski lift.

i took the test

Answer:

Approximately 0.1894 or 18.94% of the population is less than 10.0.

Step-by-step explanation:

On use the z-score formula and the standard normal distribution.

a. To compute the z-value associated with 14.3, we use the formula:z = (x - μ) / σWhere:

x = 14.3 (the value)

μ = 12.2 (mean)

σ = 2.5 (standard deviation)

Substituting the values:

z = (14.3 - 12.2) / 2.5

z = 2.1 / 2.5

z ≈ 0.84

Therefore, the z-value associated with 14.3 is approximately 0.84.

b. To obtain the proportion of the population between 12.2 and 14.3, we need to get the area under the standard normal distribution curve between the corresponding z-scores.

Using a standard normal distribution table or a calculator, we can find the area associated with each z-score.The z-value for 12.2 can be calculated using the same formula as in part a:

z1 = (12.2 - 12.2) / 2.5

z1 = 0 / 2.5

z1 = 0

The z-value for 14.3 is already known from part a: z2 ≈ 0.84.

Now, we obtain the proportion by subtracting the area associated with z1 from the area associated with z2:

Proportion = Area(z1 < z < z2)

Using a standard normal distribution table or a calculator, we obtain:

Area(z < 0) ≈ 0.5000 (from the table)

Area(z < 0.84) ≈ 0.7995 (from the table)

Proportion = 0.7995 - 0.5000

Proportion ≈ 0.2995

Therefore, approximately 0.2995 or 29.95% of the population is between 12.2 and 14.3.

c. To obtain the proportion of the population less than 10.0, we need to get the area under the standard normal distribution curve to the left of the corresponding z-score.Using the z-score formula:z = (x - μ) / σ

Where:

x = 10.0 (the value)

μ = 12.2 (mean)

σ = 2.5 (standard deviation)

Substituting the values:

z = (10.0 - 12.2) / 2.5

z = -2.2 / 2.5

z ≈ -0.88

Now, we obtain the proportion by looking up the area associated with z ≈ -0.88 using a standard normal distribution table or a calculator:

Area(z < -0.88) ≈ 0.1894 (from the table)

Therefore, approximately 0.1894 or 18.94% of the population is less than 10.0.

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Answer:

1)3

2)9

3)4

Step-by-step explanation:

milk/egg=6/2=3/1=3

milk/egg=milk/3=3/1

egg=9

milk/egg=12/egg=3/1

egg=4

Step-by-step explanation:

mark me brainliest.........

Answer:

15 percent

Step-by-step explanation: You will substract the new value from the old value.

23-20

Now you will get the difference between them and divide that by the original amount.

3/20

This will equal 0.15 in which you now multiply by 100

15 percent

Thus, the area of triangle EGH = FGH is approximately 0.707 square units.

It has two congruent sides, EF and FG. Since EF and FG are congruent, angles EFG and FEG are congruent by the Isosceles Triangle Theorem. Therefore, the measure of angle EGF is twice the measure of either angle EFG or angle FEG. We know that angle EFG and angle FGH are vertical angles and thus congruent.

Hence, angle EGF is twice angle FGH. Thus, we have two triangles that share an angle (angle G), and the measures of two corresponding angles in each triangle are congruent. Therefore, the two triangles are similar by the Angle-Angle Similarity Theorem. By similarity, we know that corresponding sides are proportional. Hence, we have GH/FG = HG/FE, which implies GH/1 = HG/FE since FG=FE=1.

Therefore, the length of GH is HG/FE, which is equal to 2/√2 or √2. Finally, the area of the triangle is (1/2)1√2, which simplifies to √2/2.

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A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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We cannot determine the expressions that can be used to find "m" from the given options as none of the options listed are in the format of an expression that could be used to solve for "m".

We would need additional information or context to determine what "m" represents and how it is related to the given options.

ok

Result = 4 7/16

Answer:

Bigger number = 42

Smaller number = 10

Step-by-step explanation:

Step 1: Define variables

x = larger number

y = smaller number

Step 2: Write systems of equations

x + 2y = 62

3x = y + 116

Step 3: Rewrite 1st equation

x = 62 - 2y

Step 4: Substitution

3(62 - 2y) = y + 116

186 - 6y = y + 116

186 = 7y + 116

70 = 7y

y = 10

Step 5: Plug in y to find x

x + 2(10) = 62

x + 20 = 62

x = 42

b) The statement is False.

The ability of a Programmable Logic Controller (PLC) to perform math functions is not intended to replace a calculator.

PLCs are primarily used for controlling industrial processes and automation tasks, such as controlling machinery, monitoring sensors, and executing logic-based operations.

While PLCs can perform basic math functions as part of their programming capabilities, their primary purpose is not to act as calculators but rather to control and automate various industrial processes.

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we can use survivorship to make judgements in following ways:

1. Life expectancy

2. Reproductive strategies

3. Population growth

Survivorship curves are graphical representations of the survival rates of individuals in a population over time. They are a useful tool for understanding and predicting the life expectancy of a population, as well as the reproductive strategies that a species employs.

Here are some ways in which survivorship curves can be used to make judgments:

- Life expectancy: The shape of a survivorship curve can give us an idea of the typical lifespan of individuals in a population. If the curve shows a steep decline in survival rates early in life, this suggests that many individuals are dying at a young age, indicating a shorter average lifespan. On the other hand, if the curve shows a gradual decline in survival rates over time, this suggests that individuals are living longer on average.

- Reproductive strategies: Survivorship curves can also provide information about the reproductive strategies employed by a species. Species that have a high survival rate early in life tend to produce fewer offspring, but invest more resources in each individual to ensure its survival. Species with a lower survival rate early in life tend to produce more offspring, but invest fewer resources in each individual.

- Population growth: By examining the shape of a survivorship curve, we can make judgments about the future growth or decline of a population. If the curve shows a steep decline in survival rates later in life, this suggests that the population is aging and may be in decline. If the curve shows a elatively constant rate of decline over time, this suggests that the population is stable.

In summary, survivorship curves can be a useful tool for making judgments about the lifespan, reproductive strategies, and future growth of populations. By analyzing these curves, we can gain insights into the dynamics of different populations and make more informed decisions about how to manage and conserve them.

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In a sample of 100 voters, 55 voted for the Democratic candidate for governor. The probability of a randomly selected voter voting for the Democratic presidential candidate, given that they voted for the Democratic gubernatorial candidate, is 0.8909. The task is to determine the number of voters in this group who voted for both Republican candidates and find the value of p that maximizes the variance of a Bernoulli random variable.

Since 55 voters out of 100 voted for the Democratic candidate for governor, the remaining 45 voters must have voted for the Republican candidate for governor. However, the question does not provide specific information about the distribution of votes for the presidential election among these voters.

To determine the number of voters who voted for both Republican candidates, we need additional information about the overlap between those who voted for the Democratic candidate for governor and those who voted for the Democratic presidential candidate.

Regarding the second question, for a Bernoulli random variable X, the variance is given by Var(X) = p(1-p), where p represents the probability of success. To maximize the variance, we need to find the value of p that maximizes the expression p(1-p). This occurs when p = 0.5, resulting in a variance of 0.25.

In summary, without more information about the overlap between voters for the gubernatorial and presidential elections, we cannot determine the number of voters who voted for both Republican candidates. Additionally, the value of p that maximizes the variance of a Bernoulli random variable is p = 0.5.

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