200 people are asked about three brands of beverages Coffee, Tea and Chocolate. 36 like Coffee only, 46 like Coffee but not Tea, 52 like Coffee, 16 like Tea and Chocolate, 96 like Chocolate, 16 like Coffee and Chocolate while a total of 108 like one and only one of the beverages. Required
i) Calculate the number of people like black coffee? (3 marks)
ii) How many people don't like any of the drinks? (2 marks)

Answer:

i dont know but if u mark me as brainliest i will tell u

'

Step-by-step explanation:

18 responses would the company get over the course of the first 8 days after the magazine was published.

What is a geometric sequence?

A geometric progression, often referred to as a geometric sequence, is a series of non-zero values where each term following the first is obtained by multiplying the preceding value by a constant, non-zero number known as the common ratio.

Here, we have

Given: A large company put out an advertisement in a magazine for a job opening. On the first day, the magazine was published the company got 125 responses, but the responses were declining by 24% each day.

We apply here geometric sequence.

aₙ = arⁿ⁻¹

where

aₙ = n^{th} term of the sequence

r = is the common ratio

a = the first term of the sequence

a = 125

r = 100% - 24% = 76% = 76/100 = 0.76

aₙ = (125)(0.76)⁸⁻¹

aₙ = 125(0.76)⁷

aₙ = 18

Hence, 18 responses would the company get over the course of the first 8 days after the magazine was published.

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Answer:

463 (to the nearest whole number)

Step-by-step explanation:

We can model the given scenario as a geometric sequence.

The first term, a, is the number of responses the company got on the first day:

The common ratio is the number you multiply by at each stage of the sequence. As the responses are declining by 24% each day, then each day the responses are 76% of the previous day's responses, since 100% - 24% = 76%. Therefore, the common ratio, r, is:

To calculate the total responses the company would get over the course of the first 8 days after the magazine was published, use the Geometric Series formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

Substitute a = 125, r = 0.76 and n = 8 into the formula and solve for S:

\(\implies S_8=\dfrac{125(1-0.76^8)}{1-0.76}\)

\(\implies S_8=\dfrac{125(1-0.111303478...)}{0.24}\)

\(\implies S_8=\dfrac{125(0.888696521...)}{0.24}\)

\(\implies S_8=\dfrac{111.087065...}{0.24}\)

\(\implies S_8=462.862771...\)

\(\implies S_8=463\)

Therefore, the total number of responses the company would get over the course of the first 8 days after the magazine was published is 463 to the nearest whole number.

Answer:

Step-by-step explanation:

967.6128 times everything

5, 3, -5, -1

-2x-1 = 2+3= 5

-2x0 = 0+3= 3

-2x1 = -2+3= -5

-2x2 = -4+3= -1

Answer:

\(y=\frac{3}{4} x-2\)

Step-by-step explanation:

The line has a positive slope, that much is clear. If we just count from the y-intercept up to the next clear point, we can see that it is 3 up and 4 to the right. That gives us a rise over run of 3 over 4, or \(\frac{3}{4}\).

The y-intercept is -2, so that is the latter half of the equation.

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2+pq-pqr​

Factor out a p

p(p+q-qr)

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2 +pq-pqr

= p(p+q-qr)

Answer:

\( - 2(4x + 4) - 3x - 2 = 34 \\ \\ - 8x - 8 - 3x - 2 = 34 \\ \\ - 8x - 3x = 34 + 8 + 2 \\ \\ - 11x = 34 + 8 + 2 \\ \\ - 11x = 44 \\ \\ x = - \frac{44}{11} \\ \\ x = - 4\)

Answer:

\(−2(4x+4) - 3x - 2 = 34 \\ - 8x - 8 - 3x - 2 = 34 \\ - 11x - 10 = 34 \\ - 11x = 34 + 10 \\ - 11x = 44 \\ \frac{ - 11x}{ - 11} = \frac{ - 44}{ - 11} \\ x = -4 \)

Answer: i don't know

Step-by-step explanation:

period 5 class

The calculated value of x in the circle is 59

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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Answer:

(5,3) and (0,-1)

Gradient,m =3-(-1)/5-0

m=4/5

y=mx+C

y-3=4/5 (x-5)

y=4x/5-4+3

y=4x/5 -1

The Department of Energy was also eager to sign on, in part because it wanted to learn about how radiation causes genetic mutations.

An modification in the nucleic acid sequence of an organism's, virus's, or extrachromosomal DNA is referred to as a mutation. DNA or RNA can be found in the viral genome.

Any alteration to a cell's DNA sequence. Mistakes in cell division can result in mutations, as can exposure to environmental DNA-damaging substances.

Ionizing radiation may harm genetic material (mutations) in gonads or germ cells, which can result in disorders with a genetic component (hereditary defects). Malformations, metabolic issues, immune system deficits, etc. might occur from them.

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The ratio of x/y is then 2/3, which is a positive number.

In quadrant I, both the x and y coordinates are positive. Therefore, a ratio of x/y will be positive. To illustrate this, let's say that the point (x, y) is located at (2, 3). This means that x=2 and y=3. The ratio of x/y is then 2/3, which is a positive number.

To calculate the ratio, we divide the x coordinate by the y coordinate: x/y = 2/3. This will give us the ratio of the point (x, y) in the indicated quadrant. If the result is a positive number, then the ratio is positive. If the result is a negative number, then the ratio is negative. In this example, the result is a positive number, so the ratio is positive.

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There were 68 babies who weighed less than Sam and Shasa's son and there were 52 babies who weighed more than Sam and Shasa's son.

To find out how many babies weighed less than Sam and Shasa's son, we need to subtract the babies born at the same weight and the babies born with more weight from the total number of babies.

First, we subtract the 6 babies born at the same weight from the total number of babies:
120 - 6 = 114

So, there are 114 babies who weighed either less or more than Sam and Shasa's son.

However, since Sam and Shasa's son is in the 60th percentile, it means that 60% of the babies weighed less than him. To find out how many babies that represents, we multiply 114 by 0.60:
114 * 0.60 = 68.4

Since we can't have a fraction of a baby, we round down to the nearest whole number:
68

Therefore, there were 68 babies who weighed less than Sam and Shasa's son.

To find out how many babies weighed more than Sam and Shasa's son, we can subtract the number of babies who weighed less from the total number of babies:
120 - 68 = 52

Therefore, there were 52 babies who weighed more than Sam and Shasa's son.

There were 68 babies who weighed less than Sam and Shasa's son.
There were 52 babies who weighed more than Sam and Shasa's son.

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It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.

To solve this problem systematically, we can break it down into smaller steps:

Let's assume the two numbers are x and y, both with two decimal places.

We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.

Rounding x and y to one decimal place gives us the following equations:

Round(x) = a.b ≈ 312

Round(y) = c.d ≈ 312

Since the total of the numbers is 62.4, we have the equation:

x + y = a.b + c.d

= 62.4

From Step 2, we know that both a.b and c.d are approximately equal to 312.

So, we can write:

a.b ≈ 312

c.d ≈ 312

Since a.b and c.d are rounded to one decimal place, we can rewrite them as:

a.b = 312 + p

c.d = 312 + q

p and q are the decimal parts that were rounded.

Substituting the new representations of a.b and c.d into the equation from Step 3, we get:

(312 + p) + (312 + q) = 62.4

Simplifying the equation gives us:

624 + (p + q) = 62.4

Solving for (p + q), we have:

p + q = 62.4 - 624

= -561.6

Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.

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If each horizontal line only ever crosses the graph of a function once, the graph is said to be one-to-one.

Only one-to-one functions have an inverse because they only have one-to-one correspondences, meaning that each element from the range corresponds to a single element in the domain.

The horizontal line test can also be applied to a function graph to determine whether it is one-to-one: The graph of a function is said to be one-to-one if each horizontal line crosses it at no more than one place.

A function's inverse is a function that reverses the effects of another function. If x = g(y) whenever y = f(x), then a function g is the inverse of a function f. (y). In other words, applying f and then g is equivalent to not acting at all. This can be expressed as g(f(x)) = x when f and g are combined.

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We can use implicit differentiation to find dxdt=-4 when x=1 and y=4/4.

We can solve for dxdt using implicit differentiation. Since we are given that dydt=5, we can apply the derivative operator to both sides of the equation 4xy=4. This gives us 4xy+4ydx=0. We can then solve for dx by rearranging the terms to get dx=-4y/4x. When x=1, we can substitute this value into the equation to get dx=-4y/4. To find the value of dxdt at x=1, we need to find the value of y when x=1. We can solve for y by rearranging the equation 4xy=4 to get y=4/4x. When x=1, this gives us y=4/4. Substituting this value of y into the equation for dx gives us dxdt=-16/4=-4.

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From 1976 until 1987, red M&Ms were removed from packets owing to a research associating the food dye used to color them to cancer.

Arithmetic is defined as working with numbers through addition, subtraction, multiplication, and division. Adding two and two to produce four is an example of arithmetic. Arithmetic is a fundamental branch of mathematics that studies the characteristics of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction. Arithmetic (derived from the Greek word arithmos, "number") relates to the fundamental components of number theory, arts of mensuration (measuring), and numerical computing (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

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Answer:

x = 14

Step-by-step explanation:

given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives

2(3x - 5) = 74 ( divide both sides by 2 )

3x - 5 = 37 ( add 5 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Answer: 1/5

Step-by-step explanation:

There are 10 slips of paper.

The only numbers less than three are 1 and 2

The probability that he will pick up a slip of paper less than three is 2 since only 1 and 2 are less than three.

Therefore the probability is 2/10, and when simplified, it is 1/5.

Therefore the answer is 1/5.

If you have any more questions feel free to ask in the comments! I'd be happy to help!

Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

We define \(9^{\frac{1}{2} }\) to be the square root of nine. This means that \((9^{\frac{1}{2} })^{2}\) must be equal to nine.

By using the properties of exponents to explain why \(8^{\frac{1}{3} }=2\);

Statement                           Reasons_____________________

\(8^{\frac{1}{3} }=2\)                                  Given

\((8^{\frac{1}{3} })^3=2^3\)                        Exponent property of equality.

\(8^{\frac{1}{3} \times 3}=2^3\)                        Exponent property of a power.

8 = 8                                simplify

In Mathematics, an exponent refers to a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

the variables b and n are numerical values (numbers) or an algebraic expression.

n is referred to as a superscript or power.

By applying the multiplication and division law of exponents for powers to each of the expressions, we have the following:

\(9^{\frac{1}{2} }\) = √9 (square root of nine)

\((9^{\frac{1}{2} })^{2}=(9^{\frac{1}{2} \times 2})=9^1 = 9\)  

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Answer:

Pretty sure its cylinder.

Step-by-step explanation:

Answer:

I think u should probably use a cylinder because it's quite more of the spherical shape

Step-by-step explanation:

Part A

Her steps were

\(-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{6}{17} \times \frac{3}{4}\\\\-\frac{6\times 3}{17\times4}\\\\-\frac{18}{68}\\\\-\frac{9}{34}\\\\\)

Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.

The third step should look like \(-\frac{17}{6}\times \frac{3}{4}\)

=======================================================

Part B

Here's what she should have written

\(-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{17}{6} \times \frac{3}{4}\\\\-\frac{17\times 3}{6\times 4}\\\\-\frac{51}{24}\\\\-\frac{17}{8}\\\\\)

If you want to convert that improper fraction to a mixed number, then you could do something like this

\(-\frac{17}{8} = -\frac{16+1}{8}\\\\-\frac{17}{8} = -\frac{16}{8}-\frac{1}{8}\\\\-\frac{17}{8} = -2 \frac{1}{8}\\\\\)

Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.

2. The farthest distance that a student rode during Friday's ride is 35 miles.

3. The longest time that a student rode during Friday's ride is 120 minutes.

6. 15 minutes.

7. 4 miles.

A cluster in a scatter plot is a group of points that are close to each other. Clusters helps to visualize the spread of data.

2. The farthest distance that a student rode during Friday's ride is 35 miles.

3. The longest time that a student rode during Friday's ride is 120 minutes.

4. The first cluster consists of points with lower values for t and higher values for s. This cluster is composed of riders who trained on mountain roads, as the lower values for t indicate that it took longer for them to cover the same distance as the other group.

The second cluster consists of points with higher values for t and lower values for s. This cluster is composed of riders who trained on flat roads, as the higher values for t indicate that it took them less time to cover the same distance as the other group.

6. The shortest time that a family member rode during Friday's ride was 15 minutes.

7. The longest distance that a family member rode during Friday's ride was 4 miles.

8. The data on the scatter plot is broken into two clusters because there are two distinct groups of data points.

The first cluster consists of points (15,2), (20,2), and (25,2), which indicate that a family member rode for 15, 20, and 25 minutes, respectively, and traveled a distance of 2 miles each time.

The second cluster consists of points (40,4), (50,4), and (60,4), which indicate that a family member rode for 40, 50, and 60 minutes, respectively, and traveled a distance of 4 miles each time.

This could be explained by the fact that a family member rode for a longer period of time and traveled a longer distance on Friday than the other family members.

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The number of different letter arrangements for the given words are:

"fluke": 120

"propose": 3,360

"mississippi": 34,650

"arrange": 840

Here, we have,

To calculate the number of different letter arrangements for a given word, you can use the formula for permutations.

The formula is:

n! / (n1! * n2! * n3! * ... * nk!)

Where:

n is the total number of letters in the word.

n1, n2, n3, ..., nk represent the frequencies of each distinct letter in the word.

Let's calculate the number of different letter arrangements for the words you provided:

Word: "fluke"

Number of letters (n): 5

Number of distinct letters: 4 (f, l, u, k)

Frequency of each letter: f-1, l-1, u-1, k-1

Number of different arrangements: 5! / (1! * 1! * 1! * 1!) = 5! = 120

Word: "propose"

Number of letters (n): 7

Number of distinct letters: 5 (p, r, o, s, e)

Frequency of each letter: p-1, r-1, o-2, s-1, e-1

Number of different arrangements: 7! / (1! * 1! * 2! * 1! * 1!) = 7! / 2 = 3,360

Word: "mississippi"

Number of letters (n): 11

Number of distinct letters: 4 (m, i, s, p)

Frequency of each letter: m-1, i-4, s-4, p-2

Number of different arrangements: 11! / (1! * 4! * 4! * 2!) = 11! / (4! * 4! * 2!) = 34,650

Word: "arrange"

Number of letters (n): 7

Number of distinct letters: 6 (a, r, n, g, e)

Frequency of each letter: a-2, r-2, n-1, g-1, e-1

Number of different arrangements: 7! / (2! * 2! * 1! * 1! * 1!) = 7! / 4 = 840

Therefore, the number of different letter arrangements for the given words are:

"fluke": 120

"propose": 3,360

"mississippi": 34,650

"arrange": 840

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Answer:

The surface area of a triangular prism can be calculated using the formula:

Surface Area = 2(Area of Base) + (Perimeter of Base) x (Height of Prism)

where the base of the triangular prism is a triangle and its height is the distance between the two parallel bases.

Given the measurements of the triangular prism as 10 cm, 6 cm, 8 cm, and 14 cm, we can find the surface area as follows:

- The base of the triangular prism is a triangle, so we need to find its area. Using the formula for the area of a triangle, we get:

Area of Base = (1/2) x Base x Height

where Base = 10 cm and Height = 6 cm (since the height of the triangle is perpendicular to the base). Plugging in these values, we get:

Area of Base = (1/2) x 10 cm x 6 cm = 30 cm^2

- The perimeter of the base can be found by adding up the lengths of the three sides of the triangle. Using the given measurements, we get:

Perimeter of Base = 10 cm + 6 cm + 8 cm = 24 cm

- The height of the prism is given as 14 cm.

Now we can plug in the values we found into the formula for surface area and get:

Surface Area = 2(Area of Base) + (Perimeter of Base) x (Height of Prism)

Surface Area = 2(30 cm^2) + (24 cm) x (14 cm)

Surface Area = 60 cm^2 + 336 cm^2

Surface Area = 396 cm^2

Therefore, the surface area of the triangular prism is 396 cm^2.

The given term seems to include various descriptors, such as "17b hydroxy," "2a," "17b dimethyl," "5a," and "androstan 3 one azine." These descriptors likely refer to specific chemical features or substitutions present in the compound.

The term "17b hydroxy 2a 17b dimethyl 5a androstan 3 one azine" appears to be a chemical compound or a steroid compound. However, without additional information or context, it is challenging to provide an accurate description or explanation for this specific compound.Chemical compounds are typically described using a combination of systematic names, common names, or molecular formulas. These names are based on standardized nomenclature systems developed by scientific organizations.

In this case, the given term seems to include various descriptors, such as "17b hydroxy," "2a," "17b dimethyl," "5a," and "androstan 3 one azine." These descriptors likely refer to specific chemical features or substitutions present in the compound.To provide a more detailed explanation, it would be helpful to have the systematic name, molecular formula, or additional information about the compound's structure, properties, or usage. With these details, it would be possible to provide a more accurate and informative description of the compound.

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Answer: 10 is your answer

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Just keep looking at the faces.

Hopefully im correct, this is my 1st one :)

In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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