What is the value of this expression when n = -15?
-2/n+61
A. -42
B. -18
C. 18
D. 42

The required number is 63.

Given that a number 9 is subtracted from 3 times a certain number, the result is 36. We need to find the number,

So, let the number be x,

x - 9×3 = 36

x - 27 = 36

x = 63

Hence the required number is 63.

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The missing coordinate is r = 4. The point (-2, 4) lies on the line with slope -3 passing through (-5, 13).

The slope of the line passing through the points (-5, 13) and (-2, r) is given by:

m = (r - 13) / (-2 - (-5)) = (r - 13) / 3

We are also given that the slope of the line is -3. Therefore, we can set the two expressions for the slope equal to each other and solve for r:

(r - 13) / 3 = -3

r - 13 = -9

r = 4

Therefore, the missing coordinate is r = 4. The point (-2, 4) lies on the line with slope -3 passing through (-5, 13).

In this problem, we are given one point (-5, 13) and a second point with a missing y-coordinate (-2, r). However, we are also given the slope of the line (-3).

Using the formula for slope, we can set up an equation that relates the change in y-coordinate to the change in x-coordinate between the two points. Solving for the missing y-coordinate gives us the value of r = 4.

In summary, this problem demonstrates how we can use the formula for slope to find a missing coordinate of a point on a line when we know the slope and one other point on the line.

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Answer:

The equation that could represent function m, given that m(4) = 9, is:

c. m(x) = x^2 - 7

Let's verify this by substituting x = 4 into the equation:

m(4) = 4^2 - 7

= 16 - 7

= 9

Since m(4) equals 9, the equation m(x) = x^2 - 7 satisfies the condition. Therefore, option c is the correct representation for function m.

Step-by-step explanation:

The equation of the mathematical statement is: y= 1.75x.

Based on the information given, we can assume that the growth per year for Amy's tree is given by:

y = 1.75x

where x is the number of years after planting the seed.

However, this is not in the form of y = mx + b.

To write it in that form, we need to isolate y on one side of the equation:

y = 1.75x + 0

where m = 1.75 and b = 0.

Therefore, the equation of the mathematical statement is:

y = 1.75x + 0 or simply y = 1.75x.

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Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

The correct options are A. Column A and B. Column B, which represent categories data.

Based on the given information, the categories data can be identified as follows:

A. Column A represents categories data as it lists the different books (Book 1, Book 2, Book 3, Book 4, Book 5).

B. Column B represents categories data as it provides the type of cover for each book (Hardcover, Paperback, Paperback, Hardcover, NA).

C. Column C represents numerical data as it provides the weights of the books (3.5lbs, 0.75lbs, 0.5lbs, 4.0lbs, 3.23lbs).

Therefore, the correct options are A. Column A and B. Column B, which represent categories data.

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The APR on a loan of $400 with a fee of $52 for two weeks is D) 339%.

The APR or the annual percentage rate refers to the interest rate and other finance fees charged on a loan for a year.

The annual percentage rate represents the actual yearly cost of funds over the term of a loan.

The total payday loan = $400

The fee paid for two weeks = $52

The loan period = 14 days (2 weeks)

The number of calendar days in a year = 365 days

The APR for the payday loan = 339% ($52/$400 x 365/14 x 100)

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Answer: Where is the question

Answer:

  12.5 cm

Step-by-step explanation:

You want the radius of the circumcircle for an isosceles triangle with base 24 cm and sides 15 cm.

In the attached, triangle ABC is the given isosceles triangle. CD is its altitude. OE is the perpendicular bisector of BC. Triangles BCD and OBE are similar.

The side ratio BD/BC = 12/15 = 4/5 tells you that ∆BCD is a 3-4-5 right triangle. This, in turn, tells you BE/BO = 3/5.

  radius BO = 5·BE/3 = 5·7.5/3

  radius BO = 12.5 . . . . cm

__

Additional comment

We recognize the right triangles as having side lengths that are multiples of the {3, 4, 5} Pythagorean triple. You could use the Pythagorean theorem relation to find the missing side length if you're unfamiliar with that triple:

  BC² = CD² +BD²

  CD² = BC² -BD² = 225 -144 = 81

  CD = √81 = 9

You can also use trig relations:

  angle CBD = arccos(12/15) ≈ 36.869898°

  OB = 7.5/sin(angle CBD) = 12.5

Answer:

8b + 50

A) b is the variable

B) 8b + 50

C) She would earn $170 if she worked for 15 hours and got a bonus.

Step-by-step explanation:

In order to calculate 1%, you need to know how percentage works and how to calculate the percentage of any number. Percentage means a number divided into 100 parts. For example, you have a huge cake and you have 100 guests. You need to divide that huge cake into 100 parts. Basically, every guest is getting 1% of the cake. That was pretty easy to calculate but what if, you have a huge cake and you have 50 guests? How much percent of the cake will each guest will be having? There are two ways to solve it, the old-fashion way and the quick way, we will discuss both ways, don't worry. The old-fashion way provides a great explanation for the concept of percentage. It might be a little bit time-consuming but it is worth it. As the words tell you, the quick way is very quick but there is not much learning about percentage in it.

The statements regarding the mean absolute deviation of 4.3 are classified as follows:

To calculate the mean of a data-set, we add all the observations in the data-set, and then divide by the cardinality, which is the number of observations in the data-set. The concept of the mean is needed to calculate the mean absolute deviation.

Each deviation in a data-set is calculated  the absolute value of the difference between the observation and the mean. As the absolute value is used, the set of observations contained the deviations is composed only by zero or positive values.

Hence the mean absolute deviation (MAD) applying the mean concept to the data-set containing the deviations, and represents the average by which the measures in the data-set differ from the mean.

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The annual percentage yield to the nearest 0.01% if the investment is $1000 is 4.43%

The annual percentage yield (APY) takes into account the effect of compounding on an investment. It is the actual annual rate of return earned on an investment, taking into account the effect of compounding. To calculate the APY, we need to use the following formula:

APY = (1 + (APR / n)) ^ n - 1

where APR is the annual percentage rate, and n is the number of compounding periods per year.

In this case, the APR is 4.3% and the compounding is daily. Therefore, we have:

n = 365 (number of days in a year)

APR = 4.3%

Using the formula above, we get:

APY = (1 + (0.043 / 365)) ^ 365 - 1

APY = 0.0443 or 4.43%

Therefore, the annual percentage yield is 4.43%, rounded to the nearest 0.01%. This means that if you invest $1000 at an APR of 4.3% compounded daily, you will earn an actual annual rate of return of 4.43% due to the effect of compounding.

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Answer: rs. 154

Step-by-step explanation:

Write an equation with X = Saturday's expenditure

(140+126+105+70+84+98+X) /7 = 111

combine like terms

(623+X) / 7 = 111

multiply 7 on both sides

623+x = 777

subtract 623 on both sides

X = 154

Answer: 7 or 3

Step-by-step explanation:

i’m not too good with this stuff, i looked something up and i do think that it’s 7 or 3. (just wanted to help a little bit, i hope you get it right) try 7 <

Answer:

Step-by-step explanation:

B. 7
Exterior derives from Ex meaning out.
Any angle that is out of the triangle (2,4,7,1) are exterior.

Answer:

C

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1 )^2 }[/tex]

with (x₁, y₁ ) = (12, - 10 ) and (x₂, y₂ ) = (0, - 6 )

d = [tex]\sqrt{(0-12)^2+(- 6-(-10))^2}[/tex]

  = [tex]\sqrt{(-12)^2+(-6+10)^2}[/tex]

  = [tex]\sqrt{144+4^2}[/tex]

  = [tex]\sqrt{144+16}[/tex]

  = [tex]\sqrt{160}[/tex]

  = [tex]\sqrt{16(10)}[/tex]

  = [tex]\sqrt{16}[/tex] × [tex]\sqrt{10}[/tex]

  = 4[tex]\sqrt{10}[/tex]

Answer:

No, this figure is not a polygon

Step-by-step explanation:

The relative frequency of teachers to the total people who ordered in the cafeteria yesterday is 5.71%.

The relative frequency shows the percentage of data distribution.

The relative frequency describes the number of times an event occurs divided by the total number of events occurring in the given scenario.

We can compute the relative frequency by dividing the chosen data value by the relevant total value, and multiplying by 100.

Type of Lunches

               Teacher               Student                        Total

Pizza             8 (209 -201)      201 (479 - 186 -92)   209

Sandwich    12                        186                            198 (Teacher = 12 (198 - 186)

Salad            9                         92                            101 (9 + 92)

Total          29                       479                            508 (29 + 479)

Type of Lunches

               Teacher   Student       Total

Pizza             8           201              209

Sandwich    12           186               198

Salad            9            92                101

Total          29          479               508

Relative Frequency of teachers to the total in the cafeteria = 5.7086% (29 ÷ 508 x 100)

= 5.71%

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The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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The volume of the pyramid is 605 cubic centimeters.

To calculate the volume of a pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the base of the pyramid is a square with a dimension of 11 cm. The base area can be calculated by squaring the length of one side of the square:

Base Area = 11 cm x 11 cm = 121 [tex]cm^2[/tex]

The height of the pyramid is given as 15 cm.

Now we can substitute these values into the volume formula:

Volume = (1/3) x 121 x 15

Volume = (1/3) x 1815

Volume ≈ 605 [tex]cm^3[/tex]

Therefore, the volume of the pyramid is approximately 605 cubic centimeters.

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The diagram provided,

1. The area of the triangle is  14 cm².

2. cos(BAC) = 3/5.

3. BC = 4√2 cm.

Given AB = 7 cm, AC = 5 cm, and sin(BAC) = 4/5.

First, we find the height of the triangle using the sine of angle BAC. Since sin(BAC) = opposite/hypotenuse, we can say that

Sin BAC = 4/5 = h/AC

h = AC × 4/5 = 5 × 4/5 = 4

Area = 1/2 × AB × height

Area = 1/2 × AB × h = 1/2 × 7 × 4 = 14

sin²θ + cos²θ = 1

Cos BAC = √1-Sin²BAC = √1-(4/5) = 3/5

cos BAC = 3/5 = AD/AC

therefore AD = 3

the Pythagorean theorem, BC² = BD² + height²

BD = AB - AD = 7-3 = 4

BC = √BD² + h² = √4²+4² = 4√2

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Answer:

pigment photosynthesis

Step-by-step explanation:

green eat water

The question refers to a word puzzle which requires finding words and using the unused letters to form a secret message, letters are selected from left to right in each row, starting from the underlined word. The secret message is formed by the unused letters.

Based on the framework provided by the question, this appears to be a puzzle involving finding words in a grid and then using unselected letters to form a secret message. The act of finding the words and aligning the remaining letters to get the secret message involves some steps. Start from the underlined letter and follow from left to right in each row, moving downwards. Write the unused letters are written on the blank space.

For example, if the underlined word is M. You find the word 'Water' in the second and third row. The unused letters Ko from the first line, efuer from the fourth line, and ythi from the fifth line form 'Koefuerythi' which could be the secret message.

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Answer:

  50%

Step-by-step explanation:

You want to know the fraction of the area under the curve that is shaded white.

The white area is equal to the blue area, so represents 1/2 of the total area:

  white = 1/(1+1) = 1/2 · 100% = 50%

50% of the total area is shaded white.

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Answer:

The answer is B

Step-by-step explanation:

The graph is a polynomial function of the x- intercepts

(-2, 0) (1, 0) and (4, 0)

Answer:

$282

Step-by-step explanation:

if one telephone costs $47 and you want to find the cost of six telephones, you multiply 47 x 6 = 282.

Answer:

6:25 A.M.

Step-by-step explanation:

To solve this, we need to subtract the amount of time it takes her to get to the art museum altogether. To calculate this easier, first add 60 + 45 + 15 = 120. 120 minutes = 2 hours, so it takes her 2 hours to get to the museum starting from her house. Now subtract those 2 hours from the time 8:25 and we get 6:25. So, the latest time Francesca can leave her house is 6:25 A.M.

The lurking variable that explains the negative correlation between coat sales and ice cream sales is likely to be temperature.

Given that there is a negative correlation between coat sales and ice cream sales.

The lurking variable that explains the negative correlation between coat sales and ice cream sales is likely to be temperature.

As the temperature drops, coat sales tend to increase while ice cream sales tend to decrease, and vice versa.

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a. The concentration of the drug after 8 hours is equal to 24 mg/L.

b. The interval over which the concentration increases is 0 < t < 2. The interval over which the concentration decreases is 2 < t < ∞.

c. The drug is at its maximum concentration when t = 2 hours and the maximum concentration is 64 mg/L.

d. After the drug reaches its maximum concentration, the number of hours that are required for the concentration to decrease to 16 mg/L is 8 hours.

e. After 1 week and 1 month, we can predict that the concentration of the drug kept decreasing after reaching 20 hours.

f. After the drug is taken orally, it took exactly 2 hours to reach a maximum concentration of 64 mg/L.

By critically observing the graph, the time and concentration of the drug after 8 hours is represented by the order pair (8, 24). Therefore, the concentration is equal to 24 mg/L.

Part b.

For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value is increased, then, the function is generally referred to as a decreasing function.

For any given function, y = f(x), if the output value (range) is increasing when the input value is increased, then, the function is generally referred to as an increasing function.

By critically observing the graph of the given function, we can reasonably infer and logically deduce the following:

Part c.

The vertex (2, 64) of the graph represent the point where the drug is at its maximum concentration, which is time (t) = 2 hours and the maximum concentration is y = 64 mg/L.

Part d.

After the drug reaches its maximum concentration, the number of hours that are required for the concentration to decrease to 16 mg/L can be calculated from the graph as follows;

Number of hours = 10 - 2

Number of hours = 8 hours.

Part e.

After 1 week and 1 month, it can be predicted that the concentration of the drug kept decreasing after reaching 20 hours.

Part f.

After the drug is taken orally, it took exactly 2 hours to reach a maximum concentration of 64 mg/L. Subsequently, the level of the drug in the bloodstream drops after reaching its maximum concentration, reaching approximately 10 mg/L after 12 hours.

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The true statements are given as follows:

B. The pointer lands on an even number less often than expected.

E. It is equally likely that the pointer will land on an even or odd number.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment/situation.

4 out of the 8 regions have even numbers, hence the theoretical (expected) probability of landing in an even number is given as follows:

p = 4/8 = 0.5 = 50%.

(division of the number of desired outcomes by the number of total outcomes).

The experimental (actual) probability of landing in an even number is given as follows:

p = 120/250 = 0.48 = 48%.

Hence the probability of an odd number is given as follows:

100 - 48 = 52%.

The statements are:

A. The pointer lands on an even number more often than expected.

B. The pointer lands on an even number less often than expected.

C. The expected probability of landing on an even number is 54%.

D. The actual probability of landing on an odd number is 46%.

E. It is equally likely that the pointer will land on an even or odd number.

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