Which angles are supplementary to the given angle? I need help

Answer: 1 1/3

Step-by-step explanation: slope is the difference in y values over the difference in the c values

Answer:

\( m = \frac{14 - 2}{19 - 10} \\ \frac{12}{9} \\ m = \frac{4}{3} \)

the slop is equal to 4/3

Answer:

The answer would be A and B

Step-by-step explanation:

I really did not have an explanation because I found out by guessing because I did not understand. :)

Answer:

  51 1/9 bd ft

Step-by-step explanation:

You want to know the number of board feet of wood in a beam (band girder) comprised of two 15 ft 4 inch 2×10s.

A board foot of wood is a volume that is 1 ft square and 1 inch thick, equivalent to 144 in³ or 1/12 ft³.

The attachment shows the calculation of the number of cubic feet of wood in the double beam, divided by (1/12 ft³/bd-ft) to given the number of board feet. The nominal size of the board is used for the calculation.

Of course, each inch is 1/12 ft, so the (end area) measurement in feet of a single 2×10 is (2/12 ft)×(10/12 ft).

The required band girder is 51 1/9 board feet of lumber.

__

Additional comment

We could have figured the area in square feet and multiplied that result by the number of inches of thickness. For purposes of explaining the units, we chose to use conventional volume units (ft³) and convert to board feet at the end.

  (15 1/3 ft)(5/6 ft) = 12 7/9 ft²

  (12 7/9 ft²)(4 in) = 51 1/9 ft²·in = 51 1/9 bd-ft . . . . double the 2" thickness of 1 board

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a) The probability of extinction occurring in the first generation is (0.5).

b) The probability of extinction occurring in the second generation is 0.25

c) The probability of extinction occurring in the third generation is 0.125

d) The probability of extinction occurring in the fourth generation is 0.0625

e) The probability of extinction occurring in the fifth generation is 0.03125

In a branching process, each individual can either have zero offspring or one offspring with a probability of 0.5. The probability of extinction occurring at each generation is the probability that all individuals have zero offspring, which is equal to \((0.5)^n\), where n is the generation number.

Therefore, the probability of extinction occurring by a certain generation can be calculated by raising 0.5 to the power of the generation number.

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Answer:

36

Step-by-step explanation:

Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12

The only number within the given range is 36

The number of students should be in the class should be considered as the 36.

Since

there are between 25 and 43 students in a class

the ratio of boys to girls is 5 : 7

So here the total ratio should be like

= 5 + 7

= 12

So here the number of students should be divisible by 12

So, it should be 36

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Answer:

80%

Step-by-step explanation:

Please brainlist me

Answer:

80%

Step-by-step explanation:

160 ÷ 200 =  0.8

0.8 x 100 = 80

add percentage sign 80%

Hope that helps

Answer is in the picture.

The correct value of Expected number of suitable cabbages = P(440 ≤ X ≤ 560) * 5000

To determine the number of cabbages that Walter should expect to be suitable to send to the quality supermarket, we can use the properties of the normal distribution.

Given that the mean weight of the cabbages is 500 grams and the standard deviation is 50 grams, we can calculate the acceptable range for the weight of the cabbages.

The acceptable range is defined as within 60 grams lower or higher than the mean. So the lower limit would be 500 - 60 = 440 grams, and the upper limit would be 500 + 60 = 560 grams.

Next, we need to find the proportion of cabbages that fall within this acceptable range. Since the weight of the cabbages follows a normal distribution, we can use the cumulative distribution function (CDF) to calculate this proportion.

Using the CDF of the normal distribution with a mean of 500 grams and a standard deviation of 50 grams, we can calculate the probability of a cabbage falling within the acceptable range:

P(440 ≤ X ≤ 560) = CDF(560) - CDF(440)

Substituting the values into the CDF function, we can find this probability.

Finally, we can multiply this probability by the total number of cabbages (5000) to get the expected number of cabbages that are suitable for the quality supermarket.

Expected number of suitable cabbages = P(440 ≤ X ≤ 560) * 5000

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Answer:

5.12

Step-by-step explanation:

5.021+.099 is the problem

we can ignore the 5 for now. .021+.099= .120

now we bring back the 5

5.120=5.12

Answer:

27 chickens

Step-by-step explanation:

A chicken farmer also has cows for a total of 30 animals

Both animals have a total of 66 legs

Let a represent the number of chicken

Let b represent the number of cows

a + b= 30........equation 1

Since a chicken has only two legs and a cow has four leg then, the expression can be represented as

2a + 4b= 66........equation 2

From equation 1

a + b= 30

a = 30-b

Substitute 30-b for a in equation 2

2a + 4b= 66

2(30-b) + 4b= 66

60 - 2b + 4b= 66

60 + 2b= 66

2b= 66-60

2b= 6

b= 6/2

b= 3

Substitute 3 for b in equation 1

a + b = 30

a + 3=30

a= 30-3

a= 27

Hence the farmer has 27 chickens

The rule for the translated function is:

g(x) = log(x) + 2

We know that the function f(x) is the parent logarithmic function, it can be written as.

f(x) = log(x)

We know that g(x) is a translation of f(x), and we can see that the graph of g(x) is 2 units above the graph of f(x), then we can write:

g(x) = f(x) + 2

Now we can replace the function f(x) there to get:

g(x) = log(x) + 2

That is the translated function.

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Complete question:

"Which of the following functions describes g?

g(x) = log(x) + 2

g(x) = log(x + 2)

g(x) = log(x) - 2"

The first four non-zero terms of the product series were x76, -7x75, 21x74, and -35x73.

The given series representations are:

(1−x7)−2=∑k=0∞(k+1)

Choose1+k6x7k and (1−x6)−3=∑k=0∞(k+2)

Choose2+k5x6k

The product of the above series is:

1−x76=∑k=0∞{(k+1)

Choose1+k6x7k×(k+2)Choose2+k5x6k}

The first four nonzero terms are found by expanding up to the terms x76, x75, x74, x73. The power series representation of f(x) is given as:

f(x)= (1−x7)(1−x6)6=∑k=0∞{∑r=0k(k+1)Choose1+k6(k−r+2)Choose2+k5}xr

Now we need to simplify the above expression by expanding the combinations as follows:

(k+1)Choose1= k+1(k+1)!1!×1k!= k+1k!(k−0+1)(k−1+1)

Choose2+k5= (k+6)

Choose5= (k+6)!5!(k+1)!  = (k+1)(k+2)(k+3)(k+4)(k+5)5!k!

The power series representation of f(x) is given as:

f(x)= (1−x7)(1−x6)6

=∑k=0∞{∑r=0k(k+1)k!(k+1)(k+2)(k+3)(k+4)(k+5)5!(k−r+2)!(xr)}

Thus, we have found the power series for f(x) = (1−x7)(1−x6)6 on the interval (−1,1). The first four nonzero terms of the product series were x76, -7x75, 21x74, and -35x73.

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Answer: 3a+7

g(a) = 4a+4

f(a) = a-3

g(a) - f(a) = (4a+4) - (a-3)

                   4a+4 - a+3 ; 4a-a=3a , 4+3=7

                   3a+7

The smallest y - intercept for the given equations is, (0, -6).

What is y - intercept?

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

There are four function are given.

We have to find which function having smallest y - intercept.

Since, to find y - intercept we have to plug x = 0 in each equation.

Consider, the functions

1. g(x) = 2x - 6

Plug x = 0

g(0) = 0 - 6

g(0) = -4

⇒  The y - intercept is (0, -4).

2. f(x) = √x - 2

Plug x = 0

f(0) = 0 - 2

f(0) = -2

⇒  The y - intercept is (0, -2).

3. For 3 we get the equation, y = 2x + 1

Plug x = 0

y = 0 + 1

⇒  The y - intercept is (0, 1).

4. From graph the y - intercept is (0, -2).

Hence, the smallest y - intercept for the given equations is, (0, -6).

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Answer:

Bobby is 8

Step-by-step explanation:

Bobby is 8 because 8*2=16. and 16+8=24

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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The correct answer is (d) O 3-14 13-4-19 15-0-18-18 16-14.

To translate the letters in the message "DO NOT PASS GO" to numbers based on their position in the alphabet, we assign each letter its corresponding number.

The alphabet consists of 26 letters, from A to Z. We can assign each letter a number based on its position in the alphabet, starting from 1 for A and ending with 26 for Z.

Here is the translation of each letter in the message:

D -> 4

O -> 15

N -> 14

O -> 15

T -> 20

P -> 16

A -> 1

S -> 19

S -> 19

G -> 7

O -> 15

Putting these numbers together, we get:

4-15-14-15-20-16-1-19-19-7-15

Therefore, the correct translation of the message "DO NOT PASS GO" to numbers based on the position in the alphabet is:

4-15-14-15-20-16-1-19-19-7-15

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Answer:

5/12

Step-by-step explanation:

I used a calculator

Answer:

35

Step-by-step explanation:

absoulute value of a=7

so 2x7=14

ab=-7x3= -21

14- (-21)= 35

Answer: The answer is x = 9.

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

The product of the HCF and LCM of 12 ,18,30 can be written as 1080.

The H.C.F.  can be described as the greatest factor  that can be found when expressing given two or more numbers, on the other hand the LCM can be described as the least factor that exist between a two given number.

factors of 12 are: 3, 4, 2, 6, 12.

factors of 18 are: 2, 3 , 6 9 , 18

factors of 30 are ; 2, 3, 6, 5, 10

HCF; The factor that is greatest among the factors of the numbers = 6

To calculate the LCM, we need to find to find the prime factor of the three numbers as:

Prime factor of 12 are ;  2*2*3

Prime factor of 18 are ; 2*3*3

Prime factor of 12 are ; 2*3*5

LCM is now the multiplication of the prime factors which is the highest occurrence of them in either numbers as ; 2*2*3*3*5 =180

From the given numbers we can see that the HCF = 6 and LCM = 180, then if we find the product as (6*180)=1080 which is the number of the product of the lowest common factor as well as the highest common factor.

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1. Objective Function and Constraints:

Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

2. Using Excel Solver, find the optimal allocation of funds.

3. The maximum value of the objective function is reported by Excel Solver.

We have,

Objective Function and Constraints:

Let:

x1 = amount spent on food

x2 = amount spent on shelter

x3 = amount spent on entertainment

Objective Function:

Maximize: 2x1 + 3x2 + 5x3 (since each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5)

Constraints:

Subject to:

x1 + x2 + x3 ≤ $1,500 (maximum disposable income)

x1 + x2 ≤ $1,100 (amount spent on food and shelter combined must not exceed $1,100)

x2 ≤ $800 (amount spent on shelter alone must not exceed $800)

x3 ≤ $400 (entertainment cannot exceed $400)

Using Excel Solver:

In Excel, set up a spreadsheet with the following columns:

Column A: Variable names (x1, x2, x3)

Column B: Objective function coefficients (2, 3, 5)

Column C: Constraints coefficients (1, 1, 1) for the first constraint (maximum disposable income)

Column D: Constraints coefficients (1, 1, 0) for the second constraint (amount spent on food and shelter combined)

Column E: Constraints coefficients (0, 1, 0) for the third constraint (amount spent on shelter alone)

Column F: Constraints coefficients (0, 0, 1) for the fourth constraint (entertainment limit)

Column G: Right-hand side values ($1,500, $1,100, $800, $400)

Apply the Excel Solver tool with the objective function and constraints to find the optimal allocation of funds.

Once the Excel Solver completes, it will report the maximum value of the objective function, which represents the optimal satisfaction value achieved within the given budget constraints.

Thus,

Objective Function and Constraints: Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

Using Excel Solver, find the optimal allocation of funds.

The maximum value of the objective function is reported by Excel Solver.

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Answer: 10 large melons

Step-by-step explanation:

Carl saw 25 melons at a store.

Of these 25, 15 were small and the rest were large.

The number of large melons will have to be the whole total of 25 melons less the number of small melons which is 15:

= 25 total melons - 15 small melons

= 10 large melons

Answer:

12/73

Step-by-step explanation:

There are 16 + 24 + 42 + 64 = 146 marbles in the bag and 24 blue marbles.  Therefore, the probability of pulling a blue marble is 24/146 = 12/73

Answer:

c

Step-by-step explanation:

The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.

A is not a good deal because its about $3.14 for a pound

B is not a good deal because its about $3.33 per pound

D is not a good deal because its $3.50 per pound

C IS a good deal because it's $2.95 per pound

Answer:

c

Step-by-step explanation:

The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.

A is not a good deal because its about $3.14 for a pound

B is not a good deal because its about $3.33 per pound

D is not a good deal because its $3.50 per pound

C IS a good deal because it's $2.95 per pound

The given sequence is 6, 4.8, 3.6, 2.4, 1.2, ...

To find the nth term of this sequence, we can observe that each term is obtained by multiplying the previous term by 0.8. Therefore, the common ratio between the terms is 0.8.

To find the nth term, we can use the formula: an = \(a1 * r^{n-1)},\) where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.

For this sequence, a1 = 6 and r = 0.8.

For the 1st term (n = 1): a1 = 6

For the 2nd term (n = 2): a2 =\(6 * 0.8^{(2-1)}\) = 4.8

For the 3rd term (n = 3): a3 =\(6 * 0.8^{(3-1)}\) = 3.84

For the 4th term (n = 4): a4 = \(6 * 0.8^{(4-1)}\)= 3.072

For the 5th term (n = 5): a5 =\(6 * 0.8^{(5-1)}\) = 2.4576

Therefore, the nth term for this sequence is an = 6 * 0.8^(n-1), and the 1525th term would be a1525 = \(6 * 0.8^{(1525-1)}.\)

The given sequence is 13, 11, 9, 7, 5, ...

To find the nth term of this sequence, we can observe that each term is obtained by subtracting 2 from the previous term. Therefore, the common difference between the terms is -2.

To find the nth term, we can use the formula: an = a1 + d * (n-1), where an is the nth term, a1 is the first term, d is the common difference, and n is the term number.

For this sequence, a1 = 13 and d = -2.

For the 1st term (n = 1): \(a1 = 13\)

For the 2nd term (n = 2): \(a2 = 13 + (-2) * (2-1) = 11\)

For the 3rd term (n = 3): \(a3 = 13 + (-2) * (3-1) = 9\)

For the 4th term (n = 4): \(a4 = 13 + (-2) * (4-1) = 7\)

For the 5th term (n = 5): \(a5 = 13 + (-2) * (5-1) = 5\)

Therefore, the nth term for this sequence is an = \(13 + (-2) * (n-1\)), and the 1525th term would be \(a1525 = 13 + (-2) * (1525-1).\)

The given explicit formula for the arithmetic sequence is nth = 65 - 100n.

To find the first five terms, we substitute n = 1, 2, 3, 4, and 5 into the formula:

For the 1st term (n = 1): \(a1 = 65 - 100 * 1 = -35\)

For the 2nd term (n = 2): \(a3 = 65 - 100 * 3 = -235\)

For the 3rd term(n = 3): \(a3 = 65 - 100 * 3 = -235\)

For the 4th term (n = 4): \(a4 = 65 - 100 * 4 = -335\)

For the 5th term (n = 5): \(a5 = 65 - 100 * 5 = -435\)

Therefore, the first five terms of this arithmetic sequence are: -35, -135, -235, -335, -435.

To find the 39th term, we substitute n = 39 into the formula:

\(a39 = 65 - 100 * 39 = 65 - 3900 = -3835\)

Therefore, the 39th term of this arithmetic sequence is -3835.

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Step-by-step explanation:

between -5 and -62

-7,-10,-60...so..on

between -1/7 and 1/8

Multiply any number by number with both the numbers but it should be multiplied by both the numbers:

for example:

-1/7×3/3= -3/21 ; 1/8×3/3= 3/24

So,

-2/21,2/24,1/24

hope it helps