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Simplify the expression:

3(2 + 5t) =

Answer:

4/3

Step-by-step explanation:

4-8/2-5

-4/-3

4/3

hopes this helps

Answer: 4/3 is the slope

1760 ft² area will be covered with 11 gallons of paint.

When two quantities are related in a linear relationship, then that arrangement is said to be in proportion.

Given that, a proportional relationship between gallons of paint and the area of the set.

The relation is :-

x (gallon of pain)  y (area)

2.5                            400

4                                640

7.5                             1200

11                                 ?

Establishing the proportion,

Area covered in 1 gallon =

400/2.5 = 640/4 = 1200/7.5 = 160 ft²

That means, in 1 gallon, there will be 160 ft² area covered.

Therefore, in 11 gallons = 160×11 = 1760 ft²

Hence, in 11 gallons, 1760 ft² area is being covered.

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The mentioned data of 50 kilometres in hours is speed of 50 kilometres per hour.

The 50 kilometres refere to the distance and hour is representative of time. Now, ratio of distance and time indicates the speed or rate of movement of the concerned thing.

The speed or rate of movement holds significance in real world calculations. Based on it, the speed of bucket carrying water from well can be increased or decreased, movement of vehicles which may cause accident, distance covered by trains, airplanes, ships and other transport objects by specific speed in particular time limit.

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To find the cost of one pie, we need to divide the total cost by the number of pies. In this case, that would be $75.80 / 4 = $<<75.8/4=18.95>>18.95. Therefore, each pie cost $18.95.

The required simplified value of the function at x = 2 is -23.

An expression, [tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex] solution of the expression at x = 2 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,

In order to simplify the given expression association of the terms that have equal value in the exponent.
[tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex]

Put x = 2
[tex]f(2) = 2^4-8*2^3+42^2+6*2-3,[/tex]
f(2) = -23

Thus, the required simplified value of the function at x = 2 is -23.

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Within the third step of the control process, management by exception is a principle that states that managers should be informed of a situation only if data show a significant deviation from standards.

The third step of the process of controlling is to compare the actual performance of the organization with the established standards. By comparing the actual performance with the standards, an organization can determine the deviation between them.

The final step of the control process is the correction of deviations to improve the performance so that in the future it matches with the plan. Establishing standards and methods for measuring performance. Measuring performance. Determine if performance is up to par. take corrective action. The marginal rate of return reduction is set to reduce the factor's marginal rate of return.

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Answer:

[tex]529\pi[/tex] cm²

Step-by-step explanation:

[tex]d=46 \implies r=23 \\ \\ A=\pi r^2=\pi (23^2)=529\pi[/tex]

479,001,600 necklaces can be made using 13 different beads.

We will be using 13 different beads in our necklace, and the arrangement of the beads is what distinguishes one necklace from another.

Additionally, the mirrored necklaces are different because we are unable to turn the necklaces around (the positions of the beads are mirrored)

We have 13 alternatives for the first bead, 12 options for the second, and so on.

if the product of the options for each choice results in a total number of combinations equal to 1, then we have:

Combinations of the form C=13*12*11*10*9*8*7*6*5*4*3*2*1

C = 6,227,020,800.

Now that the necklace may be rotated, a combination is possible.

A B C D E F G H I J K L M (Each letter corresponds to a certain bead)

is identical to other orders as

A through Z: m A B C D E F G H I J K L

With 13 rotations for each combination, the actual number of combinations is:

C/13 = 6,227,020,800/13 = 479,001,600

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The weight in ounces of paint which left after painting the wall is 114 ounces.

1 ounce is equivalent to 437.5 grains or 28.349 grams Abbreviation: oz. a unit of weight equivalent to one twelfth of a Troy or Pharmacists' pound; 1 ounce is equivalent to 480 grains or 31.103 grams. short for liquid ounce. a little part or sum.

Let x be how much paint in a strip. The aggregate sum of paint is 130+164+188=482. In the wake of painting the wall, the aggregate sum of paint is 482-4x. Since the aggregate sum in each tone is similar in the wake of getting done.

Then equation can be written as,

482 - 4x/3 = 130 -x

482 - 4x = 390 - 3x

x = 92

so, the paint left = 482-4x = 482 - 4(92) = 114.

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The value of h(f(3)) is 348.

What is simplification?

The method of simplifying something so that it is simpler to carry out or understand, or the product of such a method.

Here, we have

Given functions: f(x) = x³ + 8x, g(x) = √2x, h(x) = 7x-9

First, we will find f(3)

f(x) =  x³ + 8x

By simplification, we put x = 3 and get

f(3) = 27 + 24

f(3) = 51

Now, we find h(f(3)) and we get

h(x) = 7x-9

h(f(3)) = 7(51)-9

h(f(3)) = 357 - 9

h(f(3)) = 348

Hence, the value of h(f(3)) is 348.

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The measure of angle U is 74 degrees

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

△PQR ≅ △STU

. If m ∠P = 62 degrees and m ∠Q = 45 degrees

The above parameters mean that

P  = S Q = T and R = U

So, we have

U = R = 180 - P - Q -- by the angles in a triangle theorem

So, we have

U = 180 - 61 - 45

Evaluate

U = 74

Hence, the value of m ∠U is 74 degrees

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Answer:

[tex]\frac{8b-33}{12}[/tex]

Step-by-step explanation:

Sorry the answer is 8b-33/12

The equation that relates the volume of water and the total ingredient volume is the one in option C, it is written as:

t = 4*w

So we know that the volume of water before mixing is 25% of the total ingredient volume.

So if we define the variables:

Then we know that w is equal to the 25% of t.

Then the relation can be written as:

w = (25%/100%)*t

Where we divide the percentage by 100% so we write a decimal number instead of a percentage.

Now we can simply it so we get:

w =  (25%/100%)*t

w = 0.25*t

Now we can isolate t to get:

t = (1/0.25)*w

t = 4*w

So the correct option is C.

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From the production set, we can choose 8.803884057 × 10¹⁵² different samples.

Given,

The total microchips in a production run = 60

Number of microchips are defective in 60 = 3

Sample selected to check the defect = 5

We have to find the number of different samples of 5 can be chosen from the production run of 60;

Here,

Combinations formula:

According to the following formula, Cₙ, ₓ is the quantity of distinct combinations of x objects from a group of n members.

Cₙ, ₓ = n! / x! (n - x)!

Number of samples we can choose;

We are choosing 5 microchips from a set of 60.

Then,

C₆₀,₅ = 60! / 5! (60 - 5)! = 8.803884057 × 10¹⁵²

So,

We can choose 8.803884057 × 10¹⁵² different samples from the production set.

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Answer:

3+i

Step-by-step explanation:

|3+i| is just 3+i because it is already positive.

Step-by-step explanation:

a. The temperature in Rome is 11 degrees and in Oslo is 2 degrees. To find the difference, you subtract the two. 11-2=9

The temperature difference is 9 degrees.

b. Kiev is 1 degree. It gets 6 degrees warmer. Add 1+6=7

Kiev is 7 degrees at 6 pm.

Answer: A.

Step-by-step explanation:

It can't be C or D because if you plug the y and x in, it will make the equation become not true!

Let's test the point (2,4)

y= x^2 + 2

4 = 6

This is not true, so C and D are wrong!

It can't be B because this graph is a linear function; you can test it using the line test.

So answer is A

The value of the expression 37 + 5/9n = -1/2 is -67.5.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The expression is given as:

37 + 5/9n = -1/2

Collect the like terms

5/9n = -1/2 - 37

5/9n = - 37 1/2

0.5556n = -37.5

Divide

n = -37.5 / 0.5556

n = -67.5

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Complete question

Evaluate the expression for the given value of the variable.

37 + 5/9n = -1/2

The percentage  growth rate would the population show in the absence of constraints is 22%

A logistic model is modeled by the function

N = K/1+be^rt

where, the constant k represents carrying capacity,

the constant b is formed by b = k/n(o) - 1

the value of r will be the intrinsic exponential growth rate and t represent time.

⇒ If there is no limiting factors, then the logistic model would be exponential according to formula:

N = N(0)e^rt

Since the corresponding growth factor for this exponential function is a = e^r

so the variable r can be obtained from a using :

r = ln a

a = e^r

given r= 0.2

a = ?

a = e°·²

a = 1.221

a = 1.22

⇒ 1.22 -  1 = 0.22

0.22×100 = 22%

Hence we get the percentage growth as 22%.

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When making decisions: c) appropriate weight must be given to both quantitative and qualitative factors.

Decision-making is a difficult process, especially when the issue at hand is complex and the significance of the outcome impacts the stakeholders. Decision-making is his five-step process. Recognize situations that require decision making. identifying and developing alternative courses of action; evaluating alternatives; choosing one of the alternatives and carrying out the chosen steps.

Quantitative decisions are primarily based on statistical analysis of collected data, whereas qualitative decisions are based on many algorithms such as data type and quality, factors influencing collected data, and risk assessment. It is based on more than just numeric data values ​​to make decisions.

Quantitative factors are the basis of numerical determination. The impact of the decision on stakeholders and their reactions. investment valuation; break-even analysis; market research; sales forecasting; critical path and decision tree analysis. Qualitative factors consider other aspects that can influence the outcome of a decision, such as a SWOT (Strength Weakness Opportunities Threats) analysis. HR management issues such as motivation, morale and retention. PEST (Political, Economic and Social Technology); Advertising and Propaganda; Long-Term Survival/Development Issues and Stakeholder Analysis.

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By solving a linear equation, it can be calculated that

The integers are 5 and 6

What is linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved

Let the integers be x, x + 1

Three times the greater integer is 7 less than than 5 times the lesser integer

By the problem,

The linear equation is

3(x + 1) = 5x - 7

3x + 3 - 5x = -7

-2x = -7 - 3

-2x = -10

x = [tex]\frac{-10}{-2}[/tex]

x = 5

The other integer is 5 + 1 = 6

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Answer:

a.  It increases by 4

b. It stays the same.

Mean is the average of a set of values. It is calculated by adding up all the values in the set and dividing by the number of values in the set.

Median is the middle value of a set of values. It is calculated by arranging all the values from smallest to largest and then finding the middle value in the set. Mean and median are used to measure the center of a set of values. Mean and median are often used to identify trends and patterns in data sets, as they are useful in describing the “average” or “typical” value of a set of data. They are also used in hypothesis testing and various statistical tests.

Formula for mean:

Mean = (Sum of all values) / (Number of values)

Formula for median:

Median = (Middle value of sorted set)

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the sum of all positive rational numbers that are less than 10 and that have a denominator 30 is 400.

What is Rational Number?

Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.

So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that the numerator or denominator doesn't have commonly divisible.

As a small addition, you get 4+12+20+…+76, which is an arithmetic sequence. There are ten terms, so you can use

So the sum will be 10(4+76)/2 = 400

Hence the sum of all positive rational numbers that are less than 10 and that have a denominator 30 is 400.

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The face value of a 10-year term insurance policy on a 24-year-old male will be $75,000 based on the amount paid per $1,000 of face value.

A contract for insurance provides protection from losses resulting from particular calamities or risks on the part of the insurer. It assists in against financial loss for the insured person or their family. The most prevalent types of insurance are life, health, homeowners, and auto.

Face value of the insurance policy

The formula use to calculate face amount is

= 1,000 x (Annual premium paid / Amount paid for $1,000 of coverage for a male 24 year old for a 10 year insurance)

How to solve:

= 1,000 x (359.25 / 4.79)

= 1,000 x 75

= $75,000

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The symbolic equation for the location of the center of mass of 3 beads is [tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3

Mass of 1st bead = m1 = 22 g

Mass of the 2nd bead = m2 = 12 g

Mass of the 3rd bead = m3 = 51 g

Distance of the 1st bead from left end of the rod = d1 = 1.5 cm

Distance of the 2nd bead from the first bead = d2 = 1.9 cm

Distance of the 3rd bead from the second bead = d3 = 4.5 cm

Location of the center of mass of the three beads relative to the left end of the rod = xcm

We want to find the center of mass relative to the left end of the rod therefore we will need the distances of each bead from the left end of the rod.

Distance of the first bead from the left end of the rod = x1

x1 = d1

Distance of the second bead from the left end of the rod = x2

x2 = d1 + d2

Distance of the third bead from the left end of the rod = x3

x3 = d1 + d2 + d3

[tex]x_{cm}[/tex] = m1 x1 + m2 x2 + m3 x3 / m1 + m2 + m3

[tex]x_{cm}[/tex]= m1(d1) + m2(dı + d2) + m3(d1 + d2 +d3)/ m1 + m2 + m3

[tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3

Substituting the values to get a numerical answer,

[tex]x_{cm}[/tex] = (22)(1.5) + (12)(1.5 +1.9) + (51)(1.5 +1.9 +4.5) 22 + 12 + 51

xcm = 5.61 cm

Location of the center of mass of the three beads relative to the center bead = x

Distance of the first bead from the center bead (second bead) = x4

x4 = -d2 (Negative as it is to the left of the second bead)

Distance of the second bead from the center bead (second bead) = x5 = 0 cm

Distance of the third bead from the center bead (second bead) = x6

x6 = d3

x = m1 x4 + m2 x5 + m3 x6/ m1 + m2 + m3

x = m1 ( - d2) + m2 (0) + m3 (d3) / m1 + m2 + m3

x = - m1 d2 + 0 + m3d3 / m1 + m2 + m3

x = m3d3 - m1 d2 / m1 + m2 + m3

Substituting the values to get a numerical answer,

x= (51) (4.5) - (22)(1.9)/22 + 12 + 51

x = 2.21 cm

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Answer:

Step-by-step explanation:

15