what’s the better value 1/2 kg of bulk sunflower seeds costing $.70 per 100 grams or A 500 mg bag of prepackage seeds costing $3.95

it would take approximately 11 hours to complete the order if the number of working machines increased by a factor of 2.

An algebraic expression is a mathematical phrase that consists of variables, constants, and mathematical operations, but does not contain an equals sign. Algebraic expressions are used to represent mathematical relationships and are an important tool in algebra and other areas of mathematics.

Algebraic expressions can be simple, such as x + 2, which consists of a variable (x), a constant (2), and an addition operation. More complex algebraic expressions can contain multiple variables, constants, and operations, such as 2x² + 3xy - 4.

Variables in algebraic expressions represent unknown values that can vary or change, while constants are fixed values that do not change. Mathematical operations, such as addition, subtraction, multiplication, and division, are used to combine variables and constants in algebraic expressions.

We can use the following formula to solve the problem:

(number of machines) x (time to complete the order) = constant

Let's call the constant k. If six machines working simultaneously can complete the order in 22 hours, we have:

6 x 22 = k

k = 132

Now, let's double the number of machines to 12 and find the new time it would take to complete the order:

12 x t = 132

where t is the new time it would take to complete the order with 12 machines. Solving for t, we get:

t = 132/12

t ≈ 11

Therefore, it would take approximately 11 hours to complete the order if the number of working machines increased by a factor of 2.

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Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

x(x+2)

Step-by-step explanation:

Answer x(x+2)

Step-by-step explanation:

Answer:

1/9 rise 1 run 9

Step-by-step explanation:

if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run

The Amplitude of the sine function is given as 24, the period of the sine function is given as 12 months while the Shift is 62.

Period: Notice that the period is in months represented by m. By mere observation, we can tell that the number of months (m) = 12.

This is the vertical distance between the peak and the trough divided by two. Where:

Max (P) is the distance between the peak and Min (T) is Trough. The figures are given as 86 and 38 respectively. The formula for Amplitude (A) is:

A = \(\frac{max(p) - min(t)}{2}\)

A= (86-38)/2

Therefore,

A = 24

Vertical Shift refers to the upward or downward movement of the graph rather than movements within the graph. Amplitude is a measure that is relevant to movement within the graph.

The formula for Shift = the mean of (f) that is f(m)

That is:

Sum of observation/number of observations

= (62+50+41+38+41+50+62+74+83+86+83+74)/12

= 744/1

= 62

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25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

No there cannot be.

Step-by-step explanation:

In explaining this question, I would like us to take into account who the barber is,

" the barber is the one who shaves all those, and those only, who do not shave themselves".

This barber cannot be in existence because who would shave him? If he should shave himself then there is a violation of the rule which says he shaves only those who do not shave themselves. If he shaves himself then he ceases to be a barber. And if he does not shave himself then he happens to be under those who must be shaved by the barber, because of what the rule says. But then he is the barber.

This lead us to a contradiction.

Neither is possible so there is no such barber.

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

The percentage reduction of the jacket is 20 percent.

Percentage decrease or reduction means subtracting a given percentage of a value from the original value.

Therefore, the jacket cost 80 dollars and it is reduced to 64 dollars.

The percentage reduction of the jacket can be calculated as follows:

% reduction = (Decreased Value / Original Value) × 100

Decreased value = 80 - 64 = 16

Original Value = 80

% reduction = 16 / 80 × 100

% reduction = 1600 / 80

% reduction = 20%

Therefore, the percentage reduction is 20%.

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Answer:

  5

Step-by-step explanation:

Substitute the given values and do the arithmetic.

  \(0.3y+\dfrac{y}{z}=0.3\cdot 10+\dfrac{10}{5}=3+2=\boxed{5}\)

The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.

Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4

We have to determine the value of dy/dx.

We can define dy/dx as;

dy/dx = (dy/dθ)/(dx/dθ)

We first define dy/dθ and dx/dθ.

x = 6cosθ                             y = 6sinθ

dx/dθ = -6sinθ                     dy/dθ = 6cosθ

Now put the value

dy/dx = 6cosθ/(-6sinθ)

dy/dx = -cotθ

Now we have to determine the value of d²y/dx².

d²y/dx² = d/dx(dy/dx)

We can write it as

d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)

We first determine the value of d/dθ(dy/dx)

d/dθ(dy/dx) = d/dθ(-cotθ)

d/dθ(dy/dx) = cosec²θ

Now put the value

d²y/dx² = cosec²θ/(-6sinθ)

d²y/dx² = -6cosec³θ

Now we have to determine the slope.

Slope = dy/dx

Slope = -cotθ

Now we have to determine the concavity.

Concavity = d²y/dx²

Concavity = -6cosec³θ

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here it is, hope i helped :)

the answer is 3 1/12

Answer:

6 2/6 -3 2/8

Step-by-step explanation:

6*6=36

36+2=38

so it becomes 38/6

8*3=24

24+2=26

so it becomes 26/8

for same denominator *ply 38/6 with 8 &26/8 with 6

it will become: 304-156/48

148/48

which is equal to

3 4/48

The domain and the range of the function represented by the graph are [-2, 2) and (-4, 4]

In mathematics, the domain and range of a function are used to describe the set of possible input and output values of the function, respectively.

From the graph, we have the set of input values to be

Input = From -2 (closed circle) to 2 (open circle)

This means that the domain is

[-2, 2)

From the graph, we have the set of output values to be

Output = From -4 (open circle) to 4 (closed circle)

This means that the range is

(-4, 4]

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Answer:

A is 4/7

Step-by-step explanation:

Take the absolute value of -4/7 and find the answer.

|-4/7|=

4/7

Hope this helps! :)

Answer:

A. \(\frac{1}{5} log_3(x) + log_3(y)\)

Step-by-step explanation:

Log rules tell us that multiplication inside a log can be expressed as two summands with the same base.
In other words:

\(\log_c(a*b) =\log_c(a)+\log_c(b)\)

In this case:

\(log_3(\sqrt[5]{x} * y) = log_3(\sqrt[5]{x}) + log_3(y)\)

Using log exponent rules(power can be moved to the front of a log), we get our final answer:

\(\frac{1}{5} log_3(x) + log_3(y)\)

Answer:

The answer is number 2

The range of the function m is [1, ∞). Thus, B is correct option.

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

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Answer:

Bike: 10 miles per hour
Car: 30 miles per hour

Step-by-step explanation:

He spent: 2h/(1+3) = 0,5h by car and 0,5h x 3 = 1,5h by bike
The car is: 15 miles/ 0,5h = 30 miles/h
The bike is: 15 miles/ 1,5h = 10 miles/h

Answer:

3x^2y

Step-by-step explanation:

May i please have brainliest :)

C. The point estimate of the difference between the two population means is 2.

D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)

Given that:

Sample 1 mean (x1) = 9

Sample 2 mean (x2) = 7

Sample 1 standard deviation (σ1^2) = 2.28

Sample 2 standard deviation (σ2^2) = 1.79

C. To find point estimate of the difference between the two population   means.

sample mean(x1) - sample mean(x 2)

 = 9 - 7

= 2

Therefore, point estimate = 2

D. To find 90% confidence interval estimate of the difference between the two population means

90% confidence for 't'

df = (n1 + n2) - 2

   = 12-2

   = 10

90%  confidence with df = 10 is t

t = 1.812

point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)

2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)

3 - 1.812 *\(\sqrt{0.866 + 0.534}\)

1.188 * 0.9305 + 0.7307

(1.748, 0.867)

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Answer:

In order to solve this problem, you have to find the lowest common denominator.  Take multiples of both 6 and 4 and see which is the lowest you have in common.

4: 4, 8, 12, 16, 20

6: 6, 12, 18, 24

So 12 is the lowest common multiple....

5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

When the denominators are the same, you can subtract the numerators.  The denominator will stay 12!

Step-by-step explanation:

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Answer:

Exact Form: 19/12

Decimal form:1.583

Mixed number form: 1 7/12

Step-by-step explanation:

hope i was right!

If we compare the given values then we can find that the database B is more likely to have smaller standard deviation.

Given that the values in database A are 0 from 100 and has mean of 50 and Database B has entries from 49 to 51 and also has mean of 50.

We are required to find the database whose standard deviation is lower.

Standard deviation measures the variation of values. It is calculated after finding mean. The square of a standard deviation is known as variance.

Database A has values from 0 to 100 and has mean of 50. Because the values are somewhat very larger than 50 and in database B has values from 49 to 51,there are more chances that the standard deviation of database B will have smaller value than from standard deviation of database A.

Hence if we compare the given values then we can find that the database B is more likely to have smaller standard deviation.

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9514 1404 393

Answer:

  the amount Lorenzo spent on shirts and pants

Step-by-step explanation:

If s is the price of one shirt, then 3s is the price of 3 shirts.

If p is the price of a pair of pants, then 2p is the price of 2 pairs of pants.

  3s +2p is the price of 3 shirts and 2 pairs of pants

__

This is the amount of Lorenzo's purchase.

Answer: She started with 28 pieces of candy.

Step-by-step explanation: In the beginning of the question it says that heather took 8 pieces. Then she divided the rest evenly amongst her 5 kids. Each received 4, so that make the equation 8+(5x4) which gives us 8+(20). Or 8+20 which is 28.

Answer:

She started with 28 candies.

Explanation:

Let the total amount of candies be c

Build equation:

→ remaining: c - 8

→ each gets: (c - 8)/5

Here given each gets 4 candies

So,

(c - 8)/5 = 4

c - 8 = 5(4)

c - 8 = 20

c = 20 + 8

c = 28

Answer:

$29,000

Step-by-step explanation:

To calculate the cost of merchandise sold, you can use the following formula:

Cost of Merchandise Sold = Sales - (Beginning Inventory + Purchases - Purchase Discounts - Ending Inventory)

Plugging in the values from the data provided, the cost of merchandise sold would be:

Cost of Merchandise Sold = $50,000 - ($6,000 + $20,000 - $1,000 - $4,000)

Cost of Merchandise Sold = $50,000 - $21,000

Cost of Merchandise Sold = $29,000

So, the cost of merchandise sold would be $29,000.

Answer:

1 - 100 primes numbers

Step-by-step explanation:

2,3,5,7,11,13,17,19,23,29,31,37,41,47,57,59,61,67,71,79,83,8797