All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines increased by factor of 4?

Answer:

x=45°

Step-by-step explanation:

By linear pair property

\(x+135=180\)

\(x=180-135\)

\(x=45^o\)

~

Answer:

m=18g

Step-by-step explanation:

Because the total miles add up by the 18miles for each gallon of gas. Which is found by multiplying each gallon of gas to mph per gallon of gas.

Answer:

Three quarter

Step-by-step explanation:

;]

Answer:

3/4

Step-by-step explanation:

1/2 + 1/4

2/4 + 1/4

2+1/4

3/4

Answer:

m=3/4

Step-by-step explanation:

The minimum cost will be at (2.5 , 3) and the minimum cost be $25.

Given, a landscaping contractor plans to use the least expensive combination of two brands of fertilizer.

A package of Brand X costs $16 and contains 12 oz of phosphates and 10 oz of nitrates.

A package of Brand Y costs $7 and contains 10 oz of phosphates and 5 oz of nitrates.

The lawn requires at least 60 oz of phosphates and 40 oz of nitrates.

Let the number of Brand X packages be, x

the number of Brand Y packages be, y

According to the question,

12x + 10y ≥ 60 = 6x + 5y ≥ 30

10x + 5y ≥ 40 = 2x + y ≥ 8

x ≥ 0

y ≥ 0

Z = 16x + 7y

On solving the equations, we get

6x + 5y = 30

6x + 3y = 24

On subtracting, we get

2y = 6

y = 3

and x = 2.5

So, minimum cost will be at (2.5 , 3) and the minimum cost be

Z = 16(2.5) + 7(3)

Z = 4 + 21

Z = 25

Hence, the minimum cost will be at (2.5 , 3) and the minimum cost be $25.

Learn more about Linear Programming Problems here https://brainly.com/question/14309521

#SPJ1

Answer:

B

Step-by-step explanation:

12 ÷ 0 is undefined

As of 1995, the human population was expected to double within 50 years. If we calculated r for the human population, we would get 1.39. statement is False.

To determine whether the statement is true or false, we need to calculate the doubling time (DT) based on the given growth rate (r) and see if it aligns with the expected doubling time of 50 years.

The formula to calculate the doubling time (DT) for a population with a constant growth rate (r) is:

DT = ln(2) / r

where ln is the natural logarithm (base e).

If the expected doubling time is 50 years, then:

DT = 50 years.

Now, we can calculate the value of r:

r = ln(2) / DT

Plugging in the values:

r = ln(2) / 50 ≈ 0.01386

Comparing the calculated value of r (approximately 0.01386) with the given value of 1.39, we can see that they are not the same.

Therefore, the statement is False. The calculated value of r (0.01386) does not match the given value of 1.39, and it would not result in the human population doubling within 50 years. In reality, with a growth rate of 1.39, the population would grow at an unsustainable rate, leading to an even faster increase in population over time.

To know more about population click here :

https://brainly.com/question/31248182

#SPJ2

The wοrd "unabated" is used in Narrative οf the Life οf Frederick Dοuglass, An American Slave.

The wοrd "unabated" in this cοntext can be interpreted tο mean "cοntinuing withοut any reductiοn in intensity οr strength." "That cheerful eye, under the influence οf slavery, swοre red with rage; that vice, made all οf sweet accοutrement, changed tο a οne οf harsh and hοrrid discοrd; and that angelic face gave way tο that οf a demοn."

The authοr is describing hοw the slavehοlder's pοwer οver the slaves cοrrupts the wοman's character, turning her previοusly kind demeanοur intο οne οf rage and discοntent. The wοrd "unabated" emphasises hοw persistent and unyielding this transfοrmatiοn is and hοw unlikely it is that it will diminish.

By examining the surrοunding text and cοmmοn usage, I was able tο determine the definitiοn οf the wοrd "unabated." In this sentence, the authοr's descriptiοn οf the slavehοlder's transfοrmatiοn is well-suited tο the wοrd "unabated," which is generally used tο describe sοmething that cοntinues withοut any lοss οf intensity οr strength.

To know more about slavery  visit:

https://brainly.com/question/9331183

#SPJ1

Answer:

x= 5pie/6 +n*pie  nE Z

Step-by-step explanation:

The asymptote is vertical in this case and for that we need that the value of x stays the same for whichever value of y. and so on the graph the value of  x= 5pie/6 fits in what we need.

Answer: 360

Step-by-step explanation:

done

The following expressions solved with the properties of exponents;

b³

ax

a³ × b⁵

b

b³ / b⁰

= b^(3-0)

= b³

a•x⁵ / a•x⁴

= ax⁵ / ax⁴

= ax^(5-4)

= ax¹

= ax

a • b²• a²•b³

= a^(1+2) × b^(2+3)

= a³ × b⁵

b^-2•b²•a⁰

= b^(-2+2) × a⁰

= b¹ × 1

= b

Therefore, the properties of exponents states that when numbers of the same base are divided, the exponent will be subtracted and

when numbers of the same base are multiplied, the exponent will be added.

Read more on the properties of exponents:

https://brainly.com/question/3187898

#SPJ1

Answer:

Ez -3x+25

Step-by-step explanation:

4x+4-7x+21=

-3x+25

Brainliest plzzzz

Answer:

-3x-17

Step-by-step explanation:

We need to expand this term by multiplying a term and an expression.

The following product distributive property will be used:

In our example, the resulting expression will consist of 2 terms:

the first term is a product of  and .

the second term is a product of  and .

Answer:

the answer is B

Step-by-step explanation:

In terms of symbols, we would write \(x > 0\)

The natural log function, or any log function, is not defined for x = 0 or any negative x value.

Consider the form \(\log_b(y) = x\) which is equivalent to \(y = b^x\) and notice how the y value slowly approaches zero but never actually gets there. That is one way to see why the inputs of any log function must be larger than 0.

Answer:

(0,-5), I believe.

Step-by-step explanation:

Answer:

It would be -5

Step-by-step explanation:

You have to plug in 0 into the function so it would look like

g(0)= (2/5 )(0) -5

g(0)= 0 -5

g(0)= -5

Mitch and Terry were 0.5 km away from the scenic cliff

Sea level is the base for calculating the depth and the elevation of Earth

It is given that

Total Height of the scenic Cliff = 6.6km

After 1 hour the brothers are at = 6.6 - 1.3 km = 5.3 km from the sea level.

They climb back 0.8 km in the next hour so they will be

5.3 +.8 = 6.1 km from the sea level

6.6 - 6.1 = 0.5 km

Therefore the brothers are 0.5 km away from the scenic cliff

To know more about Sea level

https://brainly.com/question/2113249

#SPJ1

y = -3

to get to 20 characters

let me tell you the complicated progress

y = -3 as you can see

(or)

y = ax + b

-3 = -2a + b

-3 = 3a + b

a = 0

b = -3

So y = 0x - 3

y = -3

Answer:

To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed (light speed)

Step-by-step explanation:

The average speed = (The total distance)/(The total time taken)

The given parameters are;

The required average speed of the autonomous car = 40 km/hr

The average speed of the car during the first 20 km = 40 km/hr

The  average speed of the car during the next 10 km = 20 km/hr

Therefore, we have;

The time taken = Distance/Speed

The time taken by the car during the first 20 km = 20 km/40 km/hr = 0.5 hour

The time taken by the car during the next 10 km = 10 km/20 km/hr = 0.5 hour

Therefore, the amount of time elapsed = 0.5 hour + 0.5 hour = 1 hour

The distance covered = 30 km

Which gives;

To drive the remaining distance of 10 km the car has 0 hour left,

The speed of the remaining 10 km must therefore be 10/0 =  Infinite (speed).

To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed.

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

<95141404393>

Answer:

8×3x - 8×y

Step-by-step explanation:

24x-8y this is the answer

Answer:

The code is 571113

Step-by-step explanation:

The problem requires that we find the prime factors of 5005

1. 5005 is a multiple of 5 since it ends with a number 5

5 is one of the numbers

Dividing 5005/5 = 1001

the next prime number after 5 is 7

so 1001/7= 143

7 is one of the numbers

the next prime number after 7 is 11

so 143/11= 13

13 is one of the numbers

In all the prime factorization of 5005 is found as follows

5,7 11,13

Combining these numbers gives the 6 digit code

571113

True. Time series data refers to a collection of observations gathered over time, where the time dimension is a critical component of the data.

Each data point is linked to a specific point in time. In contrast, cross-sectional data is collected at a single point in time and does not have a time dimension. Therefore, the timing of each observation is crucial in time series data but not as important in cross-sectional data.

Time series data is a sequence of data points indexed in time order. It is used to track change over time.

Cross-sectional data is a snapshot of data at a specific point in time. It is used to compare different groups or variables .

Think about how the time at which each observation is made affects the analysis of time series data and cross-sectional data.

to learn more about Time series data click here:

brainly.com/question/29097191

#SPJ11

Answer:

Step-by-step explanation:

4^2 = 4 * 4 = 16

2^2 = 2 * 2 = 4

4^2 +4^2 +2^2 = 16 + 16 + 4 = 36

Answer:

The value of the expression is 36.

Consistent independent systems are linear systems that have only one possible solution. When two lines are independent they are distinct and consistent when two lines intersect.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

What makes an equation linear?

When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.

Learn more about linear equation

brainly.com/question/1189779

#SPJ4

The finite correction factor should be used in the computation of the standard deviation of the sample mean and the standard population when n/N is less than 0.05. The correct option is less than 0.05.

The finite correction factor is a statistical adjustment that is applied when the sample size (n) is relatively small compared to the population size (N).

When n/N is less than 0.05, it indicates that the sample size is significantly smaller than the population size, and the finite correction factor helps to account for the potential bias that can arise from this imbalance.

By applying the correction factor, the standard deviation of the sample mean and the standard deviation of the population are adjusted to provide more accurate estimates of the true variability in the data.

This correction is necessary to ensure the validity of statistical inferences and to account for potential errors in estimation.

To know more about deviation visit:

https://brainly.com/question/29758680

#SPJ11

Answer:

180°

Step-by-step explanation:

cos(x) = - 1 has only 1 solution in the required interval , that is

x = \(cos^{-1}\) (- 1) = 180°

To calculate the length of the curve defined by r(t) = 〈2 cos(t), 2 sin(t)〉 with the domain -π/2 ≤ t ≤ π/2, we need to find the arc length using the following formula:

Arc length = ∫(from a to b) ||r'(t)|| dt

First, let's find the derivative r'(t) of the given vector function r(t):

r(t) = 〈2 cos(t), 2 sin(t)〉
r'(t) = 〈-2 sin(t), 2 cos(t)〉

Next, find the magnitude ||r'(t)|| of the derivative vector:

||r'(t)|| = √((-2 sin(t))^2 + (2 cos(t))^2)
||r'(t)|| = √(4 sin^2(t) + 4 cos^2(t))

Factor out 4:

||r'(t)|| = √(4(sin^2(t) + cos^2(t)))

Since sin^2(t) + cos^2(t) = 1:

||r'(t)|| = √(4) = 2

Now, we can find the arc length by integrating ||r'(t)|| over the given domain:

Arc length = ∫(from -π/2 to π/2) 2 dt

To integrate, simply multiply the constant by the difference in t:

Arc length = 2(π/2 - (-π/2)) = 2(π) = 2π

So, the length of the curve is 2π.

Lear more about length of the curve from : brainly.com/question/31376454

#SPJ11

Answer: Subtract 3.1 from 12.9

Step-by-step explanation:

The first step in evaluating the expression (12.9 – 3.1) × 6.2 – 2 + 43 is to open the bracket first and then subtract 3.1 from 12.9 which will give 9.8.

This follows the rule of BODMAS which says that B which stands for Bracket must be opened and solved first in a given expression.

Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Learn more about multiplication at https://brainly.com/question/10873737

#SPJ1