Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answer:

23 is your answer for your question

Answer:

I think it Answer 3

Answer:

Faster runner speed: 11 mph

Slower runner speed: 9 mph

Distance from starting point: 9.9 miles

Step-by-step explanation:

Let the slower runner speed be: x

Faster runner speed: x+2

1 hour 6 minutes = 1.1 hours

Slower: 1.1(x) = 1.1x miles

Faster: 1.1(x+2) = 1.1x+2.2 miles

This means that the faster runner had gone 2.2 miles more than the slower runner.

1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)

1.1x > 11 - 2.2 miles

1.1x > 8.8 miles

x > 8.8 / 2.2 miles

x > 8 mph

1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)

x < 11 / 1.1 miles

x < 10 miles

8 < x < 10

Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.

Slower runner distance to the end:

1.1(9) = 9.9 miles

11 - 9.9 = 1.1 miles

Faster runners distance from the end (when coming back)

1.1(9+2) = 1.1(11) = 12.1 miles

12.1 - 11 = 1.1 miles

The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point

The runners meet at a distance of 8.8 miles from the starting point.

According to statement, each runner must run back and forth on a 11-mile course. After supposing that each runner moves at constant speed, expressions for each runner are presented below:

Fast runner reaches the end

\((v+2)\cdot 1.1 = 11\) (1)

Fast runner comes back from the end

\(x = \left(v+2\right)\cdot (1.1-t)-(v+2)\cdot t\) (2)

Slow runner meets fast runner

\(x = v\cdot 1.1\) (3)

Where:

By (1), we obtain the speed of the slow runner:

\(v = \frac{11}{1.1}-2\)

\(v = 8\,\frac{mi}{h}\)

The position from the starting point is calculated by (3):

\(x = (8\,mi)\cdot \left(1.1\,h\right)\)

\(x = 8.8\,mi\)

The runners meet at a distance of 8.8 miles from the starting point. \(\blacksquare\)

To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/17058347

Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.

The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.

Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.

Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.

Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.

Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.

In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.

Know more about Commedia here,

https://brainly.com/question/33450792

#SPJ11

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

For more questions on: gradient

https://brainly.com/question/29578324

#SPJ8    

Answer:

a) 2/5

b) 1/10

Step-by-step explanation:

There are 20 people total.

a is that the chosen child is a girl.

2 + 6 = 8, --> there are 8 girls --> simplify

8/20 = 4/10 = 2/5

b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10

And thus, we have our answers.

Answer:

A) 2/5

B) 1/10

Step-by-step explanation:

A) Total Girls = 8

Total Children = 19

Probability = \(\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}\)

Probability = 8/20 = 4/10 = 2/5

B) Left-handed girls = 2

Total left handed children = 20

=> Probability = \(\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}\)

=> Probability = 1/10

She can save $432 each year.

Now, According to the question:

Li-Mei thinks she can save money on electricity by changing all her bulbs from incandescent bulbs to fluorescent bulbs.

Incandescent bulb - 150 hours monthly use $.05 per hour Fluorescent bulb - 150 hours monthly use $.02 per hour.

We have to following statement.

Incandescent: 0.05 × 150 × 12 × 8=720

Fluorescent: .02 × 150 × 12 × 8=288

720-288=$432 less per year

Hence, She can save $432 each year.

Learn more about Bulb Problem at:

https://brainly.com/question/22984212

#SPJ4

The complete question is this:

Li-Mei thinks she can save money on electricity by changing all her bulbs from incandescent bulbs to fluorescent bulbs. Based on the following energy cost table, how much can she save each year if she replaces 8 bulbs? Incandescent bulb - 150 hours monthly use $.05 per hour Fluorescent bulb - 150 hours monthly use $.02 per hour

Answer:

A lower price and quantity would result.

Answer:

0.04233 ounces of medicine in a day

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

To determine the p-value for testing the hypothesis that the average number of days off per year is less than 30, we can conduct a one-sample t-test.

Given: Sample size (n) = 30. Sample mean (x) = 25. Population standard deviation (σ) = 10. Hypothesized population mean (μ0) = 30. We can calculate the t-value using the formula: t = (x- μ0) / (σ / √n). Substituting the values: t = (25 - 30) / (10 / √30) = -5 / (10 / √30) = -1.29099. To find the p-value associated with this t-value, we need to determine the probability of observing a t-value as extreme as -1.29099 (or more extreme) under the null hypothesis. Looking up the t-distribution table with degrees of freedom (df) = n - 1 = 30 - 1 = 29, we find that the p-value corresponding to a t-value of -1.29099 is approximately 0.206. However, since our alternative hypothesis is that the average number of days off is less than 30, we are interested in the left tail of the t-distribution. Since the t-value of -1.29099 corresponds to the left tail of the distribution, the p-value is equal to the area under the curve to the left of this t-value.

Therefore, the p-value of testing this hypothesis is approximately 0.206/2 = 0.103.Thus, the correct option is not provided in the given choices.

To learn more about hypothesis click here: brainly.com/question/29576929

#SPJ11

Answer:

T=7

Step-by-step explanation:

(T-8) x (-t+15)

Then 15-8

T= 7

Answer:

27.5

Step-by-step explanation:

Answer:

Answer: 27.5 and your welcome!!

Answer:

−  10 /61

​or  

=−6.10000

Step-by-step explanation:

Answer:

1. The mistake he made was in Step #2. He subtracted 10 from -6 and 10 but he didn't subtract 10 from 18.

2. The correct answer should be -16 ≤ x < 8

Hope this helps : )

Step-by-step explanation:

Whatever you do on one side of an inequality/equation, you must do the same thing to the other side(s).

To get the correct answer he must subtract 10 from 18 which equals 8.

The final compound inequality is -16 ≤ x < 8

Answer:

The answer to this question is v= -4

Answer:

v=-4

Step-by-step explanation:

v=-24/6

v=-4

The given pair of events are independent when your first coin flip results in heads. and your second coin flip results in heads.

Events that occur independently of any other events are referred to as independent events. if we flip a coin in the air and get the head, we will then flip the coin again, but this time we will get the tail. The occurrence of both events is unrelated in either instance. Tossing the coin the first time does not affect the outcome of the second toss.

Note that the events are not mutually exclusive as it is possible that both the first and the second toss are headed.

know more about independent events here: https://brainly.com/question/12619550

#SPJ4

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



learn more about geometric series here here

https://brainly.com/question/30264021



#SPJ11

The value of x₀ is approximately equal to 24.113.

The formula for the standard normal distribution is given by

=> z = (x - μ) / σ  [ where x is the random variable, μ is the mean, and σ is the standard deviation ]

It also involves using the standard normal distribution table or calculator to find the probability of a value being greater than a given z-score, and solving for the original random variable using the standardized value.

Here we have

Suppose x is a normal distribution random variable with mean 20 and standard deviation 2.5.

We can use the standard normal distribution to solve this problem.

First, we standardize the random variable x by subtracting the mean and dividing by the standard deviation:

=> z = (x - μ) / σ = (x - 20) / 2.5

Now we want to find the value x₀ such that P(x > x₀), which is equivalent to finding the value z such that P(z > (x₀ - 20) / 2.5).

Using a standard normal distribution table or calculator, we can find that the probability of z being greater than 1.645 is approximately 0.05.

So we have:

P(z > 1.645) = P((x - 20) / 2.5 > 1.645)

Simplifying and solving for x₀, we get:

=> (x - 20) / 2.5 > 1.645

=> x - 20 > 4.113

=> x > 24.113

Therefore,

The value of x₀ is approximately equal to 24.113.

Learn more about Normal distribution at

https://brainly.com/question/29509087

#SPJ4

No, f is not continuous at x=-3. To show this, let's take the limit from both sides.

From the left side, the limit of f(x) as x approaches -3 is 5. From the right side, the limit of f(x) as x approaches -3 is 3. Since the two limits are not equal (5≠3), then f is not continuous at x=-3.No, f is not continuous at x=-3. This is because the limit of f(x) as x approaches -3 does not equal f(-3). The limit of f(x) can be calculated using the formula lim x->-3 f(x) = lim x->-3 (x^2 + 9). Calculating this limit, we get lim x->-3 f(x) = lim x->-3 (x^2 + 9) = 9. However, f(-3) = (-3)^2 + 9 = 0, which does not match the limit.

Mathematically, this can be shown using the following:

limx→−3 f(x) = 5 ≠ 3 = limx→−3+ f(x)

Since the two limits are not equal, then f is not continuous at x=-3.

Learn more about continuous here:

https://brainly.com/question/24898810

#SPJ4

Answer:

A possible solution of (60, 10) does not make sense for this function, unless multiple people can come together to donate an item.

Check explanation for more explanantion.

Step-by-step explanation:

If x represents the number of people who donated an item and g(x) represents the number of items collected.

The x and g(x) values are usally presented in a coordinates format like (x, y) where y = g(x).

So, (60, 10) means that 60 people donated 10 items.

Unless multiple people can come together to donate an item, it isn't possible for 60 people to donate 10 items.

Hence, a possible solution of (60, 10) does not make sense for this function, unless multiple people can come together to donate an item.

Hope this Helps!!!

220/8 = 27.5

27.5 x 8 = 220

She’ll have to work 27 hours and 30 minutes to get 220 pounds.

The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.

Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.

From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:

The prime factor 2 appears in both A and B.

The prime factor 3 appears in A.

The prime factor 5 appears in A.

Comparing this with the prime factorizations of A and B, we can deduce the following:

The prime factor p appears in both A and B, as it is present in the common factors 2 × p.

The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.

From the above analysis, we can conclude:

p = 2

q = 5

r = 3.

For similar question on lowest common multiple.

https://brainly.com/question/16054958  

#SPJ8

Answer:

Subtract 5 from both sides of the equation :-)

Step-by-step explanation:

Answer:

a. 1.26

b. 0.1038

Step-by-step explanation:

The p-value is 1.0000 (rounded to four decimal places). This means that we fail to reject the null hypothesis, which in this case would be that the population mean is equal to the sample mean of 26.2.

To find the test statistic, we need to use the formula:

test statistic = (sample mean - population mean) / (standard deviation / square root of sample size)

Since the population standard deviation is given as 6, we can plug in the values:

test statistic = (26.2 - population mean) / (6 / √40)

To find the population mean, we can use the fact that the sample mean is an unbiased estimator of the population mean, so:

population mean = sample mean = 26.2

Plugging in the values, we get:

test statistic = (26.2 - 26.2) / (6 / √40) = 0

The test statistic is 0.

To find the p-value, we need to use a t-distribution table or calculator. Since we have a sample size of 40, we can use the t-distribution with 39 degrees of freedom.

Using a calculator or table, we can find that the area to the right of 0 (since the test statistic is 0) is 0.5. Since this is a two-tailed test, we need to double this value to get the p-value:

p-value = 2 * 0.5 = 1.0000
Learn more about test statistic here: brainly.com/question/14128303

#SPJ11

Step-by-step explanation:

d = a  -  - a   = a + a = 2a