\( {( {5}^{ - 1 } \times {3}^{ - 1} })^{ - 1} \div {6}^{ - 1} \)
Pls include steps...​

The simplified expression for (B/4b) + (7/16b+28) is (4B+7(b+7/4)) / (16b(b+7/4)). None of the given options are equivalent to this expression.

To simplify the expression (B/4b) + (7/16b+28), we first need to find a common denominator for the two fractions. The common denominator for 4b and 16b+28 is 16b, so we can rewrite the expression as:

(B/4b) + (7/16b+28) = (4B)/(16b) + (7)/(16b+28) = (4B)/(16b) + (7)/(16(b+7/4))

Now, we can combine the two fractions by finding a common denominator. The common denominator is 16(b+7/4), so we need to multiply the first fraction by (b+7/4)/(b+7/4):

(4B)/(16b) + (7)/(16(b+7/4)) = (4B(b+7/4))/(16b(b+7/4)) + (7(4b))/(16(b+7/4)4b)

= (4B(b+7/4) + 28)/(16b(b+7/4)) = (4B+7(b+7/4))/(16b(b+7/4))

Therefore, the simplified expression is (4B+7(b+7/4))/(16b(b+7/4)).

None of the given options are equivalent to this simplified expression.

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Answer: she made 77 dollars

Step-by-step explanation:

121 divided by 22 is 5.5

5.5 will be her pay rate per hour

5.5 times 14 is 77

Answer:

77 dollars

Step-by-step explanation:

We can use ratios to solve

121 dollars      x dollars

--------------- = --------------------

22 hours         14 hours

Using cross products

121 * 14 = 22x

Divide each side by 22

121 * 14/22 = x

77 =x

The length of segment AB, denoted as |AB|, is 50 yards. To find the length of segment AB, we can use the concept of vector addition and subtraction.

We can break down Leigh's movements into two components: the north-south component and the east-west component.

1. North-South Component: Leigh initially walks 40 yards south and then 10 yards north, resulting in a net displacement of 40 - 10 = 30 yards south.

2. East-West Component: Leigh walks 60 yards west and then 20 yards east, resulting in a net displacement of 60 - 20 = 40 yards west.

Now, we can find the length of segment AB by applying the Pythagorean theorem. The north-south and east-west components form a right triangle, where the length of segment AB is the hypotenuse.

Using the Pythagorean theorem: |AB|² = (north-south component)² + (east-west component)²

                          |AB|² = 30² + 40²

                          |AB|² = 900 + 1600

                          |AB|² = 2500

Taking the square root of both sides: |AB| = √2500

                                      |AB| = 50

Therefore, the length of segment AB, or |AB|, is 50 yards.

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One polygon has 6 sides and the other has 7 sides.

Polygons are closed 2D shapes made up of straight lines. Regular polygons have sides of equal length and angles of equal measure. In this problem, we are given information about two regular polygons.

We are told that the total number of sides in both polygons is 13. Let's call the number of sides in one polygon "n" and the number of sides in the other polygon "m". Then, we know that:

n + m = 13

Next, we are given the total number of diagonals in both polygons, which we can calculate using the formula:

d = (n(n-3) + m(m-3))/2

where "d" is the total number of diagonals. We are told that d = 25. Substituting this value and the equation for n + m into the diagonal formula, we get:

25 = (n(n-3) + m(m-3))/2

25 = (n² - 3n + m² - 3m)/2

50 = n² - 3n + m² - 3m

We can use the equation n + m = 13 to solve for one variable in terms of the other. For example, we can solve for "m" by subtracting "n" from both sides:

m = 13 - n

Substituting this into the previous equation, we get:

50 = n² - 3n + (13-n)² - 3(13-n)

50 = n² - 3n + 169 - 26n + n² - 36 + 3n

Simplifying this equation, we get:

2n² - 26n + 45 = 0

We can use the quadratic formula to solve for "n":

n = (26 ± √376)/4

n ≈ 5.61 or n ≈ 8.39

Since we are dealing with whole numbers of sides, "n" must be either 6 or 8. Plugging each value into the equation n + m = 13, we find that the other polygon must have the opposite value.

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Since, the false positive rate, p( |n), for a test is given as 0.04. The specificity for this test is 0.96.

Based on the information provided, the false positive rate for the test is 0.04. To find the specificity, you can use the following relationship:

Specificity = 1 - False Positive Rate

Step 1: Identify the false positive rate (0.04).
Step 2: Subtract the false positive rate from 1.
To find the specificity for a test given the false positive rate, we subtract the false positive rate from 1. So, the specificity for this test would be:

specificity = 1 - false positive rate
specificity = 1 - 0.04
specificity = 0.96
Specificity = 1 - 0.04 = 0.96

Your answer: The specificity for this test is 0.96.

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Answer:

1479 people

Step-by-step explanation:

If the amount employed is 8381, that means 8381 is 85% of the population. 8381/85 = 98.6

Every 1% of the population is 98.6, so we can just do 15 x 98.6 to get 1479

Answer:

9,860

Step-by-step explanation:

100% - 15% = 85 % = 85/100

85/100 * 8381/x

85x = 838,100

838,100/85 = 9,860

Answer:

2nd option

Step-by-step explanation:

Given

\(\frac{x}{5}\) = 5 ( multiply both sides by 5, the reciprocal of \(\frac{1}{5}\) to clear the fraction )

x = 25

Answer: the Answer is bla bla bla bla bla xD

Step-by-step explanation:

step its bla bla bla bal lol

Answer:

32 books

Step-by-step explanation:

Well if each have 8 classes and 2 books per class then to get the total of books you'd multiply 8x2 and you get 16 for one alone. Since its two people sharing a single locker than add 16 with another 16 and you get 32!

sorry I can't physically show the work but writing down a 8x2 on the side and then adding 16 to that answer should show it off! :]

If we have the triangle ABC and we want to obtain the triangle DEF, we need to multiply every side of the triangle ABC by 3 as:

5 * 3 = 15

4 * 3 = 12

3 * 3 = 9

So, the scale factor of triangle ABC to triangle DEF is 3

Answer: 3

The number of cruise passengers must there have been in 2017 is  26.7 million.

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

\(\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}\)

Multiplying both sides by 100;

\(\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}\)

Dividing both sides by 106.7;

\(\frac{106.7 x}{106.7}=\frac{2850}{106.7}\)

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

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A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.

The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.

The general format of a proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:

Considering x as the cost before sales tax, the equation is given as follows:

y = x + 0.1x

y = 1.1x.

Meaning that one point is given as follows:

(5,5.5).

Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.

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Answer: 36%

Step-by-step explanation:

Answer:

y=-7x-2

Step-by-step explanation:

I assume you need the equation for the line, so that's what I'm solving for here.

1. Start by putting the slope and the coordinates into point slope form, which is y-y1=m(x-x1)

y+30=-7(x-4)

2. Distribute -7 to (x-4) (or multiply x and -4 by -7).

y+30=-7x+28

3. Subtract 30 from both sides to get y by itself.

y=-7x-2

Answer:

does it have to be decimal or a fraction bc I got two answers x=22/5 or x=4.4

The time the mechanic is away from the shop is 2 hours.

To find the time the mechanic is away from the shop, we need to know either the distance of the round trip or the speed of the mechanic on one of the legs of the trip.

For example, if we know that the distance of the round trip is 30 miles, we can use the formula:

time = distance / speed

where speed is the average speed for the round trip, which is given as 15 miles per hour.

So, the time the mechanic is away from the shop would be:

time = 30 miles / 15 miles per hour = 2 hours

But without knowing the distance of the round trip or the speed of the mechanic on one of the legs of the trip, we cannot calculate the time the mechanic is away from the shop.

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12 bags of mixed nuts for R2 each and 10 bags of dried fruit for R3 each

Percentage that like Mushroom and Pepperoni Pizza is: 30%

Bar charts are used to show statistical data from different observations. If this statistic is in percent format, the bar chart is called a percent bar chart. Percentage bar charts can be in both vertical and horizontal format.  

From the given bar chart, we see that:

Friends that like cheese = 4

Friends that like Mushroom = 2

Friends that like Pepperoni = 1

Friends that like Supreme = 3

Total number = 4 + 2 + 1 + 3 = 10

Percentage that like Mushroom and Pepperoni Pizza = (2 + 1)/10 * 100%

= (3/10) * 100%

= 30%

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I believe the answer to your question is D. there is exactly one input for each output.

If your situation meets these criteria explained below, then applying the t-test for a hypothesis test of the population mean appears reasonable.

A more detailed explanation of the answer.

To decide whether applying the t-test for a hypothesis test of the population mean in the question appears reasonable, please consider the following:

1. Check the sample size: The t-test is most appropriate for small sample sizes (typically n < 30). If your sample size is large, consider using the z-test instead.

2. Normality assumption: The t-test assumes that the underlying population is normally distributed. If the population distribution is not normal, the t-test may not be appropriate. However, if the sample size is large enough, the Central Limit Theorem allows for the t-test to be used even with non-normal populations.

3. Independent and randomly collected samples: The observations in the sample should be independent and randomly collected to prevent biases in the results.

4. Single population mean: The t-test is designed to test the hypothesis about a single population mean. If you are comparing the means of two populations, you may want to use the independent samples t-test or paired samples t-test instead.

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Answer: GP = ar^n-1

To find r , divide the 2nd term by the 1st term or the 3rd term by the 2nd term.
Now r = 3/4 or g/3. To find g now, the two can be equated together and solve for g or by multiplying the 2nd term by the common ratio.
(1) r = 3/4 ……………………,(1)

r =. g/3……………………..(2)

g = 3/4 x 3

= 9/4. or

3/4 = g/4, by cross multiplying the equation, it now becomes

4g = 3 x3

4g = 9

Now divide both dude by the coefficient of g which is 4

g = 9/4

Now, r = 3/4 or g/3 and g = 9/4

Step-by-step explanation:

The given statement " If two sounds can form a minimal pair, they are allophones of two distinct phonemes." is true. because when two sounds can form a minimal pair, it demonstrates that the difference between the sounds is crucial for distinguishing the meaning of the words in the language as a result these sounds cannot be considered as allophones of the same phoneme, as they do not share the same underlying representation.

A minimal pair refers to two words that differ in only one sound but have different meanings. For example, "bat" and "pat" differ only in their initial consonants, /b/ and /p/, but have distinct meanings. This difference in meaning indicates that the two sounds are part of separate phonemes.

Phonemes are the basic, abstract units of sound in a language that can change the meaning of a word when substituted for one another. Allophones, on the other hand, are the various concrete realizations of a phoneme that do not change the meaning of a word. They are considered to be different surface forms of the same underlying phoneme.

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The top 10% of professors spend above $125.94 each week on entertainment. To find the z-score for the top 10% of professors, we need to find the z-value that corresponds to the 90th percentile.

To find out the amount of money spent by the top 10% of professors on entertainment each week, we need to use the z-score formula and the standard normal distribution table.

The z-score formula is:

z = (x - μ) / σ

where:

x = the amount spent on entertainment

μ = the mean amount spent on entertainment

σ = the standard deviation

To find the z-score for the top 10% of professors, we need to find the z-value that corresponds to the 90th percentile. The 90th percentile can be calculated as follows:

90th percentile = mean + z-score * standard deviation

From the standard normal distribution table, we can find that the z-score corresponding to the 90th percentile is 1.28.

So,

90th percentile = 95.25 + 1.28 * 27.32 = 125.94

Therefore, the top 10% of professors spend above $125.94 each week on entertainment.

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Answer:

22a + 12b

Step-by-step explanation:

First, you should combine like terms. Like terms are when numbers have the same variable, such as the variable 'a'.

26a and -4a both have 'a' as their variable. To combine them, add -4a to 26a. You should get 22a as your final result.

The other two numbers in this equation that share a common variable are 2b and 10b. To combine these, all you have to do is add them together. After adding these two, you should get 12b.

After combining all like terms, there is none left, meaning you can't combine 22a and 12b since they don't share the same variable.

The amount of the mark up is $66 and the selling price is $286.

The amount by which a product's cost is raised to determine its selling price is known as the markup percentage. Usually, it is represented as a percentage of the item's price. Markup percentage is determined by the following equation:

Markup percentage = (Selling price - Cost price) / Cost price x 100%

Given that, the mark up is 30%.

Thus,

Mark up = 0.3 x $220 = $66

The selling price is:

Selling price = $220 + $66 = $286

Hence, the amount of the mark up is $66 and the selling price is $286.

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Answer:

16 glasses

Step-by-step explanation:

4/5 divide by 1/20 = 16 glasses

Therefore, Ashley can make 16 glasses of lemonade.

Answer:

16 Glasses

Step-by-step explanation:

Since she has 4/5 cup of sugar and it requires 1/20 of a cup to make a single glass of lemonade, in order to get how many cups she can make we need to get the LCM (lowest common multiple) of both fractions (4/5 and 1/20). The LCM of 5 and 20 is 20. Now instead of 4/5 we have 16/20 and 1/20 remains the same. Since it takes 1/20 cup of sugar to make 1 glass of lemonade and Ashley has 16/20 cup of sugar, she can make 16 cups.

Answer:

x can be any natural number.

Step-by-step explanation:

If we try 0 for x, here's what happens:

2(0)4

0 (4) = 0

0 > 4 is not true

Once x is greater than 0, a natural number, it satisfies the conditions and therefore, can be substituted for x.

By evaluating h(x) in x = ^-3 and then squaring it, we will see that:

h(-3) = 1,600

Here we have the function:

h(x) = 2x^2 - 5x + 7

First let's evaluate it in x = -3, to do so we just need to replace the variable x by the number 3, we will get:

h(-3) =2*(-3)^2 - 5*-3 + 7

h(-3) = 2*9  + 15 + 7 = 18 + 15 + 7

h(-3) = 40

Now we square it:

h(-3)^2 = 40^2

h(-3)^2 = 1,600

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Answer:

ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by

465.98*0.964=

449.20472

so now we round to two points to get

449.21

Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.