Find the area of the triangle

Answer:

5

Step-by-step explanation:

1 galon =16 tazas

1/4 de galon=4 tazas

1+.25= 1.25 ó 1+1/4=1, 1/4 y eso lo multiplico por 4

1.25 ×4= 5

Answer:

y = x + 5

Step-by-step explanation:

You can see that x is increasing at exactly the same rate as y. That rate is 1. This gives the graph a slope of 1. Now we can determine by subtracting 1 from y when x = 1 that the y intercept is 5. Slope intercept is y = mx+b. The y intercept is b which is five and the slope is m which is one.

Answer: 3 1/6 + 4 5/6 = 8 1/6.

Step-by-step explanation:

Let’s leave the whole numbers out for a second. You add 5/6 and 1/6 and that equals 1 or a whole. You add that to the whole numbers on the side of the fractions. So 3+4+1 =8. This is how the answer is 8 1/6.

Hope this helps :)

The value of the z-score is approximately 0.9804.

The z-score (also known as the standard score) represents the number of standard deviations a particular value is away from the mean of a distribution. It is calculated using the formula:

z = (x - μ) / σ

Where:

z is the z-score,

x is the value you want to standardize,

μ is the population mean, and

σ is the population standard deviation.

To determine the probability that the mean height of the 60 randomly selected men is less than 72 inches, we need to know the population means and standard deviation of the height.

Assuming we have the population mean (μ) and standard deviation (σ) of the height available, we can use the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

In this case, since the sample size is large (n = 60), we can approximate the distribution of the sample mean as a normal distribution.

Let's suppose the population mean (μ) is 70 inches and the population standard deviation (σ) is 5 inches.

To find the value of z, which represents the number of standard deviations away from the mean, we can use the following formula:

z = (x - μ) / (σ /√n)

Substitute the above values

z = (72 - 70) / (5 / √60)

= 2 / (5 /√60)

= 2 / (5 / √60)

= 2 / (5 / 2.449)

= 2 / 2.041

≈ 0.9804

Therefore,

The value of the z-score is approximately 0.9804.

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First, let's calculate the monthly interest rate (i), which is the APR divided by 12 months:

i = APR / 12 months

i = 5.3% / 12

i = 0.00442 or 0.442%

Next, let's calculate the number of months (n) for the mortgage, which is 15 years multiplied by 12 months:

n = 15 years x 12 months/year

n = 180 months

Now, let's calculate the monthly payment (PMT) using the following formula:

PMT = P * i / \((1 - (1 + i)^(-n)\))

where P is the principal amount, i is the monthly interest rate, and n is the number of months.

PMT = $325,000 * 0.00442 / (1 - \((1 + 0.00442)^(-180)\)

PMT = $2,613.67 (rounded to the nearest cent)

Now, let's create the amortization table for the first two months:

Month | Payment | Interest | Principal | Remaining Balance

1 | $2,613.67 | $1,431.25 | $1,182.42 | $323,817.58

2 | $2,613.67 | $1,428.60 | $1,185.07 | $322,632.51

For each month, the Payment column shows the fixed monthly payment, the Interest column shows the calculated interest based on the remaining balance multiplied by the monthly interest rate, the Principal column shows the portion of the payment that goes towards reducing the principal, and the Remaining Balance column shows the remaining balance after subtracting the principal payment from the previous remaining balance.

The amortization table will continue in this manner for the remaining months until the mortgage is paid off.

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The interest and principal amounts for the first payment are:

Interest = $325,000 * 0.0044167 = $1,426.25

Principal = $2,549.67 - $1,426.25 = $1,123.42

Balance = $325,000 - $1,123.42 = $323,876.58

For the second payment, we start with the new balance of $323,876.58 and apply the formulas again:

Interest = $323,876.58 * 0.0044167 = $1,420.47

Principal = $2,549.67 - $1,420.47 = $1,129.20

Balance = $323,876.58 - $1,129.20 = $322,747.38

To complete the two-month amortization table, we need to calculate the monthly payment, as well as the principal and interest amounts for each payment.

The formula for calculating a fixed-rate mortgage payment is:

\(Payment = P * r * (1 + r)^n / [(1 + r)^n - 1]\)

Where:

P = Principal amount borrowed

r = Monthly interest rate

n = Total number of payments

First, let's calculate the monthly interest rate.

Since the APR is an annual rate, we need to divide it by 12 to get the monthly rate:

Monthly interest rate = 5.3% / 12 = 0.0044167

Next, we need to calculate the total number of payments.

Since this is a 15-year mortgage, and we're completing a two-month amortization table, the total number of payments is:

Total number of payments = 15 years * 12 months per year = 180

Number of payments for two months = 2

Now we can plug these values into the formula to calculate the monthly payment:

Payment = \($325,000 * 0.0044167 * (1 + 0.0044167)^180 / [(1 + 0.0044167)^180 - 1]\)

= $2,549.67

So the monthly payment is $2,549.67

Now we can use this value to complete the two-month amortization table:

Payment Interest Principal Balance

Month 1 $1,426.25 $1,123.42 $323,876.58

Month 2 $1,420.47 $1,129.20 $322,747.38

To calculate the interest and principal amounts for each payment, we use the following formulas:

Interest = Balance * Monthly interest rate

Principal = Payment - Interest

Balance = Balance - Principal

We start with the initial balance of $325,000 and apply the formulas for each payment.

The interest and principal amounts for the first payment are:

Interest = $325,000 * 0.0044167 = $1,426.25

Principal = $2,549.67 - $1,426.25 = $1,123.42

Balance = $325,000 - $1,123.42 = $323,876.58

For the second payment, we start with the new balance of $323,876.58 and apply the formulas again:

Interest = $323,876.58 * 0.0044167 = $1,420.47

Principal = $2,549.67 - $1,420.47 = $1,129.20

Balance = $323,876.58 - $1,129.20 = $322,747.38

And so on, for each subsequent payment.

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Answer:

\(19 \frac{7}{8} = 19.87\)

Step-by-step explanation:

\(1. \: lcd = 8 \\ 2. \: \frac{71 \times 4}{2 \times 4} - \frac{125}{8} \\ 3. \: \frac{284}{8} - \frac{125}{8} \\ 4. \: \frac{284 - 125}{8} \\ 5. \: \frac{159}{8} \\ 6. \: 19 \frac{7}{8} = 19.87\)

Answer:

$12$ km

Step-by-step explanation:

IF THIS HELPED YOU PLS MARK ME BRAINLIEST I NEED IT

Answer:

x = -1 and x = 5

Step-by-step explanation:

What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.

(x – 3)² + 2(x – 3) -8 = 0   -------------------------------------------------------(1)

To solve this problem, we will follow the steps below;

let u = x-3

we will replace x-3 by u in the given equation:

(x – 3)² + 2(x – 3) -8 = 0  

u² + 2u -8 = 0  ----------------------------------------------------------- --------------(2)

We will now solve the above quadratic equation

find two numbers such that its product gives -8 and its sum gives 2

The two numbers are 4 and -2

That is; 4×-2 = -8    and 4+(-2) = 2

we will replace 2u by (4u -2u)  in equation (2)

u² + 2u -8 = 0

u² + 4u - 2u -8 = 0

u(u+4) -2(u+4) = 0

(u+4)(u-2) = 0

Either  u + 4 = 0

            u = -4

or

u-2 = 0

u = 2

Either u = -4    or u = 2

But  u = x-3

x = u +3

when u = -4

x = u + 3

x = -4 + 3

x=-1

when u = 2

x = u + 3

x = 2 + 3

x=5

Therefore, x = -1  and  x =5

x

Answer:

x=-1 and x=5

Step-by-step explanation:

The equation x² + 4x + 9 = 0 are complex numbers: x = -2 + i√5 and x = -2 - i√5.

To find the solutions for the equation x² + 4x + 9 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Comparing this equation with the given equation x² + 4x + 9 = 0, we can see that a = 1, b = 4, and c = 9.

Plugging in these values into the quadratic formula, we have:

x = (-4 ± √(4² - 4(1)(9))) / (2(1))

x = (-4 ± √(16 - 36)) / 2

x = (-4 ± √(-20)) / 2

Since the value inside the square root is negative, we know that the solutions will involve complex numbers. Simplifying further, we have:

x = (-4 ± i√20) / 2

x = (-4 ± 2i√5) / 2

Simplifying the expression by dividing both the numerator and denominator by 2, we get:

x = -2 ± i√5

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Answer:

1 = 18

Step-by-step explanation:

Answer:

no wanna talk tho

Step-by-step explanation:

The 95% confidence interval estimate of the population proportion of adults who had bought something online is (0.8049, 0.8409). This means that we are 95% confident that the true proportion of adults who had bought something online lies between 0.8049 and 0.8409.

To construct a 95% confidence interval estimate of the population proportion of adults who had bought something online, we can use the sample proportion and the formula for confidence intervals.

Let's define the following variables:

n = total sample size = 2,304

x = number of adults who had bought something online = 1,896

The sample proportion, p-hat, is calculated as the ratio of x to n:

p-hat = x / n

In this case, p-hat = 1,896 / 2,304 = 0.8229.

To construct the confidence interval, we need to determine the margin of error, which is based on the desired level of confidence and the standard error of the proportion.

The standard error of the proportion, SE(p-hat), is calculated using the formula:

SE(p-hat) = sqrt((p-hat * (1 - p-hat)) / n)

Substituting the values, we have:

SE(p-hat) = sqrt((0.8229 * (1 - 0.8229)) / 2,304) = 0.0092

Next, we need to find the critical value for a 95% confidence interval. Since we are dealing with a proportion, we can use the standard normal distribution and find the z-value corresponding to a 95% confidence level. The z-value can be obtained from a standard normal distribution table or using statistical software, and in this case, it is approximately 1.96.

Now, we can calculate the margin of error (ME) using the formula:

ME = z * SE(p-hat) = 1.96 * 0.0092 = 0.018

Finally, we can construct the confidence interval by subtracting and adding the margin of error to the sample proportion:

Lower bound: p-hat - ME = 0.8229 - 0.018 = 0.8049

Upper bound: p-hat + ME = 0.8229 + 0.018 = 0.8409

In summary, to construct a 95% confidence interval estimate of the population proportion, we used the sample proportion, calculated the standard error of the proportion, determined the critical value for the desired confidence level, and calculated the margin of error. We then constructed the confidence interval by subtracting and adding the margin of error to the sample proportion.

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Answer:

zxczxcz

Step-by-step explanation:

zxczxczxc

Chris paid Richard $4,777.50 for the contract.

To calculate the price Chris paid Richard for the contract, we need to consider the original loan amount, the interest rate, and the time period involved.

Rob borrowed $4,740 from Richard and agreed to repay it in 10 months with 4.05% simple interest. Simple interest is calculated by multiplying the principal amount by the interest rate and the time period. After 4 months, Richard sold the contract to Chris.

To find the price Chris paid, we need to calculate the accumulated amount of the loan after 4 months using the 4.05% interest rate. The accumulated amount can be calculated as follows:

Accumulated Amount = Principal + (Principal * Interest Rate * Time)

Accumulated Amount = $4,740 + ($4,740 * 0.0405 * 4/12)

Accumulated Amount = $4,740 + ($4,740 * 0.0135)

Accumulated Amount = $4,740 + $63.99

Accumulated Amount = $4,803.99

Now, we know that Chris wants to earn 5.00% simple interest per annum. To find the price Chris paid Richard, we can use the formula for calculating the present value of a future amount:

Present Value = Future Value / (1 + Interest Rate * Time)

Present Value = $4,803.99 / (1 + 0.05 * 6/12)

Present Value = $4,803.99 / (1 + 0.025)

Present Value = $4,803.99 / 1.025

Present Value ≈ $4,677.07

Therefore, Chris paid Richard approximately $4,677.07 for the contract.

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Answer:

7>x

Step-by-step explanation:

First get X on one side by adding 37 to both sides

-2 > 5x - 37

+37       +37

35> 5x

now dive both sides by GCF (5)

35/5> 5x/5

7>x

Hope this helps! Plz award Brainliest : )

Answer:

\(x<7\)

Step-by-step explanation:

\(-2>5x-37\)

Switch sides:

\(5x-37<-2\)

Add 37 to both sides:

\(5x-37+37<-2+37\)

\(5x<35\)

Divide 5 to both sides:

\(\frac{5x}{5}<\frac{35}{5}\)

\(x<7\)

There are 100 degrees between the normal freezing and boiling points of water.

On the Celsius temperature scale, the difference between the normal freezing point (0°C) and the normal boiling point (100°C) of water is 100°C - 0°C = 100°C.

On the Kelvin temperature scale, the equivalent temperatures for the normal freezing and boiling points of water are 273.15 K and 373.15 K, respectively. The difference between these two temperatures on the Kelvin scale is 373.15 K - 273.15 K = 100 K.

So, in both Celsius and Kelvin scales, there are 100 degrees between the normal freezing and boiling points of water.

Therefore, there are 100 degrees between the normal freezing and boiling points of water.

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Answer

5/36 (\(\frac{5}{36}\))

Answer:

22/35

Step-by-step explanation:

27/9 = 3

3 × 11/5 ×2/21

=22/35

Answer:

-192

Step-by-step explanation:

replace the x with -8 and multiply

Answer:

-18+9k

Step-by-step explanation:

If you use the distributive property, you get:

(-3*6) and (-3*-3k)

If you simplify each of them you get:

-18+9k

Answer:

-18+9k

Step-by-step explanation:

Multiply -3 by 6 and -3 by -3k

The value of T'(7) obtained after taking the first differential of the function is 36.

Given the T(p) = 36(p + 1) - 1/3

Diffentiate with respect to p

T'(p) = d/dp [36(p + 1) - 1/3]

= 36 × d/dp (p + 1) - d/dp (1/3)

= 36 × 1 - 0

= 36

This means that after 7 practice sessions, the rate of change of the time it takes to perform the task with respect to the number of practice sessions is 36 minutes per practice session.

Therefore, T'(p) = 36.

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Answer:

ii) Over the interval [2, 4], the local minimum is at -8

iii) Over the interval [3, 5], the local minimum is at -8

iv) Over the interval [1, 4], the local maximum is at 0

Step-by-step explanation:

The graph of the function is attached below.

The local minimum is the minimum point within a specified range while the local maximum is the maximum within a specified range.

i) We can see from the graph that within [1, 3] the local minimum is at -6, hence the first option is wrong.

ii) Over the interval [2, 4], the local minimum is at -8, hence option 2 is correct

iii) Over the interval [3, 5], the local minimum is at -8, hence option 3 is correct

iv) Over the interval [1, 4], the local maximum is at 0, hence option 3 is correct

v) Over the interval [3, 5], the local maximum is at infinity, hence option 5 is not correct

Answer:

B, C, D

Step-by-step explanation:

Hope this helps!

Answer: no

Step-by-step explanation:

1         2       3      4    5     6      7    8     9   10    11    12    13   14  15 16   17
13.4 12.8   12.2 11.6 11  10.4  9.8 9.2 8.6  8    7.4  6.8  6.2  5.6 5 4.4  3.8

18  19    20  21

3.2  2.6  2    1.4

With this table, you can see that Diego and his family would only make it to 21 days before the warning light comes on.

Answer:  greatest number of bunches using all balloon is 48, using purple ballon is 27

Step-by-step explanation:

1. For the triple integral ∫∫∫ f(x, y, z) dV with f(x, y, z) = x and Σ being the part of the plane x + 4y + z = 10 in the first octant, the limits of integration are 0 ≤ x ≤ 10, 0 ≤ y ≤ (10 - x)/4, and 0 ≤ z ≤ 10 - x - 4y.

2. For the triple integral ∫∫∫ f(x, y, z) dV with f(x, y, z) = y² and Σ being the part of the plane z = x for 0 ≤ x ≤ 2 and 0 ≤ y ≤ 4, the limits of integration are 0 ≤ x ≤ 2, 0 ≤ y ≤ 4, and 0 ≤ z ≤ x.

1. To evaluate ∫∫∫ f(x, y, z) dV, where f(x, y, z) = x and Σ is the part of the plane x + 4y + z = 10 in the first octant:

We need to find the limits of integration for x, y, and z within the given region Σ. In the first octant, the region is bounded by the planes x = 0, y = 0, and z = 0. Additionally, the plane x + 4y + z = 10 intersects the first octant, giving us the limits: 0 ≤ x ≤ 10, 0 ≤ y ≤ (10 - x)/4, and 0 ≤ z ≤ 10 - x - 4y. Integrating f(x, y, z) = x over these limits will yield the desired result.

2. For ∫∫∫ f(x, y, z) dV, where f(x, y, z) = y² and Σ is the part of the plane z = x for 0 ≤ x ≤ 2 and 0 ≤ y ≤ 4:

The given region Σ lies between the planes z = 0 and z = x. To evaluate the triple integral, we need to determine the limits of integration for x, y, and z. In this case, the limits are: 0 ≤ x ≤ 2, 0 ≤ y ≤ 4, and 0 ≤ z ≤ x. Integrating f(x, y, z) = y² over these limits will give us the final result.

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The domain for the function in this problem is given as follows:

0 ≤ x ≤ 5.

The domain of the function in this problem is the number of hours, which is represented by numbers between 0 and 5, as the hours cannot be negative and they played for 5 hours, hence the interval is given as follows:

0 ≤ x ≤ 5.

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To distribute 10 identical turkeys among 4 identical cages, with at least one turkey in each cage, you can use the following combinations:
1. (7, 1, 1, 1)
2. (6, 2, 1, 1)
3. (5, 3, 1, 1)
4. (5, 2, 2, 1)
5. (4, 4, 1, 1)
6. (4, 3, 2, 1)
7. (4, 2, 2, 2)
8. (3, 3, 3, 1)
9. (3, 3, 2, 2)


1. First, we must guarantee that each cage has at least one turkey. Assign one turkey to each cage, leaving 6 turkeys left to distribute.
2. We then use stars and bars (combinatorics) to distribute the remaining turkeys among the cages.
3. Since the cages are identical, the order of the numbers within the combinations does not matter, so we list unique combinations only.


There are a total of 9 unique ways to distribute the 10 identical turkeys among the 4 identical cages, with each cage receiving at least one turkey.

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we have

f(x) = |x – 1] + 2

g(x) = -2f(x) + 8

substitute the value of f(x) in g(x)

so

g(x)=2(|x – 1] + 2) +8

g(x)=2|x – 1] + 4 +8

g(x)=2|x – 1] + 12

Using a graphing tool

see the attached image

Answer:

3584

Step-by-step explanation:

The sampling method in which every nth member of the population is chosen to be a part of the process is known as systematic sampling. The value of n is calculated by dividing the total population by the sample size. It is a statistical method of selecting elements from a population.

Systematic sampling is one of the probability sampling techniques in which a sample is selected from a larger population. It is a form of non-random sampling that allows researchers to establish an ordered, systematic way of selecting subjects from a population.Systematic sampling is often used when there is a large population and a need for simplicity in selecting a sample. This method is advantageous in terms of its ease of implementation and efficient sampling.

A disadvantage of this method is the possibility of a skewed sample if the periodicity of the population is not taken into account.A systematic sample can be obtained by arranging the population elements in a particular order, for instance, alphabetical or chronological order, and then selecting every kth element, where k = population size / sample size. This method of sampling has been proven to be more efficient than other sampling methods when there is a need to cover a large population.

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