What is the solution to this inequality?

4x + 2 ≤ -14 or 3x − 5 > 16

Answer:

\(9\frac{57}{63}\)

Step-by-step explanation:

First, we need to turn them into improper fractions:

\(2\frac{4}{7}\) + \(7\frac{3}{9}\)

7 x 2 + 4

7 x 9 + 3

\(\frac{18}{7}\) + \(\frac{66}{9}\)

Next, we need to find a common multiple of both 7 and 9

7, 14, 21, 28, 35, 42, 49, 56, 63

9, 18, 27, 36, 45, 54, 63

So the denomonator turns into 63.

We've multiplied the denomonater 9 times for the first fraction and 7 times for the second fraction, we therefore have to do the same to the numerator.

18 x 9 = 162

66 x 7 = 462

\(\frac{162}{63}\) + \(\frac{462}{63}\) = \(\frac{624}{63}\)

Next, we have to turn it back into a mixed number.

To work it out: 624 / 63 = 9 (1 s.f) <--- Mixed number.

9 x 63 = 567

624 - 567 = 57 (Working out the remainder.)

Combining them, the answer is therefore \(9\frac{57}{63}\)

Hope this helps and have a good day!

Answer:

C (-2,2)

D (1,-2)

Step-by-step explanation:

happy thanksgiving!

The given statements are a) False b) True c) False d) True e) False f) True g) True h) False i) True j) False k) False l) True m) True n) False o) True p) True q) True r) True

A. False. It is generally cheaper to remove liquid thermally than mechanically. This is because mechanical methods require the use of energy to remove the liquid, while thermal methods only require the use of heat.

B. True. Spray drying is a process that uses a stream of hot air to dry a liquid into a fine powder. It is used on a large scale in the dairy industry to dry milk, and for drying coffee and other food products.

C. False. In simple distillation, the temperature does not remain constant throughout the process. The temperature will increase as the liquid boils, and then decrease as the vapor condenses.

D. True. Crystallization is the process of forming crystals from a solution. This process can be achieved by evaporating the solvent, which will cause the solute to crystallize.

E. False. Drying is not restricted to pharmaceutical and biological samples. It is used to dry a wide variety of materials, including food, textiles, and wood.

G. True. Distillation is a process used to separate the substances composing a mixture by boiling the mixture and then condensing the vapor. This process involves a change of state from liquid to vapor and back to liquid.

H. False. The quality of freeze dried products is not the lowest quality because of the high temperature used. In fact, freeze drying is a gentle process that preserves the quality of the product.

I. True. Drying can be used to remove only water from a wet solid. However, it can also be used to remove other solvents from a solid.

J. False. Centrifugation is a physical method of separating immiscible liquid or solid by application of centrifugal force. It is not a chemical method.

K. False. Filter presses are not especially employed by solid/liquid separation using the principles of temperature drive. They are used to separate solids from liquids by applying pressure.

L. True. Different solids have different moisture curves. This is because the moisture content of a solid depends on the properties of the solid, such as its surface area and its affinity for water.

M. True. Distillation and evaporation are two different processes. Distillation is a process used to separate the substances composing a mixture by boiling the mixture and then condensing the vapor. Evaporation is a process used to remove a solvent from a solution by boiling the solvent.

N. False. The boiling point diagram is affected by pressure. As the pressure increases, the boiling point of a liquid increases.

o.True. One of the disadvantages of spray drying is that it requires high temperatures. This can cause the natural properties of the product to be lost.

P. True. The head loss in a fluidized bed depends on the filter bed height, the density of the pellet, and the flow velocity.

Q. True. The Fenske equation is used to determine the maximum number of ideal plates in a distillation column.

R. True. In batch distillation with constant reflux, the overhead product composition will decrease with time. This is because the more volatile components of the mixture will be distilled off first, leaving the less volatile components behind.

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Answer:

E. 54

Step-by-step explanation:

To find the area just multiply the base times the height. In this problem it would just be 6x9= 54.

Answer:54 cm ^2

Step-by-step explanation:

9 times 6 is 54

Answer:

The answer will bee 6.6666666667 well with nine zeros

The algebraic expression that can be represented by the statement is -5x/2 = 10

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

The negation of the product of five times a number divided by two is ten

Represent the variable with y

So, we have the following representation

The negation of the product of five times x divided by two is ten

Express the product as an actual product

So, we have the following representation

The negation of 5x divided by two is ten

Express the quotient as an actual quotient

So, we have the following representation

The negation of the 5x/2 is ten

Lastly, we have

-5x/2 = 10

Hence, the expression is -5x/2 = 10

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Answer: The mode of the data in the line plot is the data with the highest number of marks

The mode of the data is 8

How to determine the mode?

From the line plot, we have the following frequency table:

Number        Frequency

5                       2 marks6                       4 marks.

7                        3 marks

8                        6 marks

9                         2 marks

10                         4 marks

11                         2 marks

The number with the highest mark is 9

Hence, the mode of the data is 8

Step-by-step explanation:

The corresponding area and perimeter of the shapes assuming all are unit squares are {5,5) units² and {16,15} units.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Let's assume all blocks that exist in shape are square with dimension units or one.

Now the area of the square is given as ;

A = Side² = 1² = 1

Since the number of squares in 20 is 5

So,

A = 5 unit²

The number of squares in 21 is also 5

So,

A = 5 unit²

Now,

The perimeter of the square as given;

P = 4× side

Since side in 20 are 16 so 16 units.

The side in 21 is 15 so 15 units.

Hence "The corresponding area and perimeter of the shapes assuming all are unit squares are {5,5) units² and {16,15} units".

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Answer:

f(g(8)) = 4

f(g(5)) = 9

g(f(2)) = 8

g(g(6)) = 3

Step-by-step explanation:

g for x = 8 is 4 and f for x = 4 is 4

g for x = 5 is 8 and f for x = 8 is 9

f for x = 2 is 5 and g for x = 5 is 8

g for x = 6 is 7 and g for x = 7 is 3

The matching for the function values are

g(g(6)) = 3

g(f(2)) = 8

f(g(8)) = 4

f(g(5)) = 9

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have two function as f and g.

So, the value of function from the table are

1. g(g(6))

= g(7)

= 3

2. g(f(2))

= g(5)

= 8

3. f(g(8))

= f(4)

= 4

4. f(g(5))

= f(8)

= 9

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Answers:

This can be stated in any order

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

Explanation:

In geometry, a translation is where you slide a point or figure some distance left, right, up or down.

A reflection will mirror a point over a line, or you could mirror a point over another point.

A rotation turns a point around a fixed center point.

A dilation scales the figure to be larger or smaller.

The first three transformations mentioned (translation, reflection, rotation) are known as rigid transformations. They keep the figure the same size and shape. A dilation will keep the same shape, but the size will be different, so the before and after figures are not congruent when you apply a dilation.

The number of ways onetta can select a sandwich and a salad is 65.

When Onetta wants to buy a sandwich and a salad from 4 varieties of sandwiches and 6 salads of Daily Deli or 3 varieties of sandwiches and 7 salads of Better Bites or 5 varieties of sandwiches and 4 salads from Lunch Spot, she has 65 ways.

Therefore, the answer is 65.

Choosing a sandwich and a salad is simultaneous activity, so we apply product rule.

Number of ways a sandwich and a salad can be selected from Daily Deli = 4C1×6C1

Number of ways a sandwich and a salad can be selected from Daily Deli = 3C1×7C1

Number of ways a sandwich and a salad can be selected from Lunch Spot = 5C1×4C1

She can go to Daily Deli or Better Bites or Lunch Spot, but not simultaneously, so we apply the addition rule.

Total number of ways = 4C1×6C1 + 3C1×7C1 + 5C1×4C1

= 4×6 + 3×7 + 5×4

= 65

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Answer:

Machine 1: 165

Machine 2: 210

Step-by-step explanation:

Machine 1: 11 bottle per minute

11 * 15 = 165 labeled bottles per minute

Machine 2: 14 bottles per minute

14*15 = 210 labeled bottles per minute

The 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

What is Confidence interval?

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such 90% or 99%, are occasionally used when computing confidence intervals.

As given,

n = 150 = drivers

x = 100 = wear seat belts.

We have to find 95% confidence interval for proportion P that do not wear seat belt.

From 150 we have 100 wear seat belts

Not wear seat belt = 150 - 100

Not wear seat belt = 50

P = 50/150

P = 0.33

95% confidence interval for P is

CI = (P - zα/2√(P(1 - P)/n), P + zα/2√(P(1 - P)/n))

For 95% CI, zα/2 = 1.96

Substitute values,

CI = (0.33 - 1.96√(0.33(1 - 0.33)/150), 0.33 + 1.96√(0.33(1 - 0.33)/150))

CI = (0.33 - 0.075, 0.33 + 0.075)

CI = (0.255, 0.405)

Therefore 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

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Answer:  The nucleus and the cloud of electrons.

Step-by-step explanation:

Answer:

n=27

Step-by-step explanation:

Answer:

n=27

Step-by-step explanation:

Let's solve your equation step-by-step.

n−6=21

Step 1: Add 6 to both sides.

n−6+6=21+6

n=27

Hope it helped!

Answer:

9/40

Step-by-step explanation:

120 × ⅖ = 48

120 × ⅜ = 45

120 - 93 = 27

27/120 = 9/40

Based on the proportions and the counters in the bag, the fraction that is green is 9 / 40.

You can find the number of green counters by:

= Number of counters - Red counters - Yellow counters

= 120 - (120 x 40%) - (120 x 3/8)

= 120 - 48 - 45

= 27 green counters

= Number of green counters / Total number of counters

= 27 / 120

To take it to the lowest term, divide both numbers by 3:

= 9 / 40

In conclusion, the fraction is 9 / 40.

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Answer: The scale factor is a ratio that compares the dimensions of an object to a copy of that object. To find the scale factor from the original picture to the copy, you can divide the length of the copy by the length of the original.

In this case, the length of the original picture is 8 feet and the length of the copy is 1/2 a foot.

So the scale factor is:

1/2 a foot / 8 feet = 1/16

This means that the copy is 1/16 the size of the original. This means that, for each inch or foot on the original, the same length on the copy is 1/16 of that length.

It's also common to express scale factor as a ratio or a fraction of the original, which in this case is 1/16

It's worth mentioning that you could use this same method to find the scale factor for any other dimension of the picture, such as width, height and so on.

Step-by-step explanation:

Answer: 59 buses

Step-by-step explanation:

117/2 = about 59 buses rounded to the nearest whole number because a bus can't be split in half!

Answer:

11

Step-by-step explanation:

all you gotta do is subtract q3 from q1, in this case it's 15-4=11

Answer:

estimated product = 80, exact product = 79.79

Step-by-step explanation:

Trust me

Answer:

its 79.79

Step-by-step explanation:

Here is a careful direct proof of the converse direction of the ideal in a commutative ring.

Suppose that M is a proper ideal in a commutative ring R. We proved in class that if R/M is simple, then M is a maximal ideal in R. Now let's prove the converse, that if M is maximal, then R/M is simple.

To prove this, we must consider the following two facts:

* If M is a maximal ideal in R, then for any ideal N of R, either M is contained in N or N is contained in M.

* If R/M is simple, then for any nonzero ideal N of R/M, N = R/M.

Now, let N be any ideal of R. If M is contained in N, then the image of N in R/M is equal to N. Since R/M is simple, this means that N = R/M.

If M is not contained in N, then N is not contained in M. Since M is maximal, this means that N must be equal to R. The image of N in R/M is therefore also equal to R. Since R/M is simple, this means that N = R/M.

In either case, we have shown that for any ideal N of R, either M is contained in N or N is contained in M. This means that M is a maximal ideal in R.

Therefore, if M is maximal, then R/M is simple.

Thus, it's proved that "If M is a maximal ideal, then R/M is a simple ideal".

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The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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Answer: How would i know what im calculating?

Step-by-step explanation:

Answer:

√−100 = 0 + 10i

Step-by-step explanation:

i is equal to the square root of -1

change sqrt(-100) to sqrt(-1) * sqrt(100)

i * 10

10i

Answer:

d

Step-by-step explanation:

Trust

Rounded to the nearest whole degree, the F region would be represented by 30 degrees on the pie chart.

The total number of students who completed the Spanish course is:

67 + 95 + 111 + 87 + 33 = 393

To find the number of degrees for the F region on the pie chart, we need to first find the percentage of students who failed the course:

33/393 x 100% = 8.39%

To convert this percentage to degrees, we use the formula:

(degrees in a circle) x (percentage/100) = degrees in the sector

Since a circle has 360 degrees, we can plug in the values to get:

360 x (8.39/100) = 30.24 degrees

Rounded to the nearest whole degree, the answer is 30 degrees. Therefore, 30 degrees would be used to indicate the F region on the pie chart.

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The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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The answer as a fraction in simplest form is 1 39916800.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

n = 12 and r = 7,

so the number of possible outcomes is:

12 P 7 = 12! ( 12 − 7)! = 12! 5! = 39916800

The number of favorable outcomes is only one, since there is only one way to select the paintings in the same order as the artist displays them. Therefore, the probability of selecting the paintings in the same order as the artist displays them on the first day is:

P ( event) = number of favorable outcomes number of possible outcomes = 1 39916800

This fraction cannot be simplified further, so this is the final answer. The probability is very small, which makes sense because it is very unlikely to randomly select 7 paintings in the same order as the artist displays them.

Therefore, by probability the solution will be 1 39916800.

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Answer:

568$

Step-by-step explanation:

a1(b)^n-1

First multiply the initial value (490) into 1.025 (Because it is growing so we add 1 to the rate converted into a decimal.) then n-1 or 7-1 which is 6, simply solve.

Its hard to explain so you should have an equation set up like this:

f(x)=490(1.025)^7-1

that is 568.249 (568)

Hope it helps.