What is the НСF of
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To complete the piece of work Kieron needs 12.42 workers. He able to complete the work in 7 days.

What is the unitary method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given that 6 workers would take 14 and a half days.

In other words, to complete a piece of work in 14.5 days he needs 6 workers.

Now apply the unitary method,

To complete a piece of work in 1 day he needs 6×14.5 workers.

To complete a piece of work in 7 days he needs (6×14.5)/7 workers.

                                                                                  = 12.42

He has 13 workers and to complete the piece of work he needs 12.42 workers. Thus he was able to complete the work in 7 days.

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The time that it would take for the population to decrease by one fourth is 3 years. Option C

We know that when we talk about population growth, we are talking about the increase in the population of the species and this can be regarded as a kind of an exponential growth problem.

We know that we can write;

P = Poe^-rt

P = population at time t

Po = initial population

r = population growth rate

t = time taken

Then we have that at the said time, P = 1/4Po

Hence;

1/4Po = Poe^-0.365t

1/4 = e^-0.365t

0.25 = e^-0.365t

ln0.25=ln e^-0.365t

-1.386 = -0.365t

t = 3 years

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The statement that is true about the rental company’s charges is A. The deposit fee is $ 25 and the rental fee per day is $ 45.

The total cost function is given as C = 45d + 25. This means that the slope is 45 and the y - intercept is 25.

This also means that the rental per day is $ 45 because the slope is the amount that the total cost changes by per day which must be the daily rental cost.

The $ 25 would be the cost that a person pays as a down payment when they rent the car because this amount does not change.

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Options for this question include:

A. The deposit fee is $ 25 and the rental fee per day is $ 45.

B. The deposit fee is $ 45 and the rental fee per day is $ 25.

C. The car can be rented for $ 45 and then given back to the company at $ 25

well, the selling price is simply $30 plus 120% of that, hmmm what's 120% of 30 anyway?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{120\% of 30}}{\left( \cfrac{120}{100} \right)30}\implies 36~\hfill \underset{selling~price}{\stackrel{30~~ + ~~36}{\text{\LARGE 66}}}[/tex]

Question 6:

The relationship between ∠2 and ∠7 is that they are corresponding angles.

Question 8:

Since ∠1 and ∠2 are alternate exterior angles, m∠2=m∠1 so 180°

Question 9:

Options A, C, and D are correct.

*Note*

For option B the angles are supplementary.

For option E the angles are vertical angles.

Question 10:

∠1 and ∠2 lie in the interior of the parallel lines and are on opposite sides of the transversal. So, ∠1 and ∠2 are equal.

The intersection of the graph is (0.65, 1.073). Then the solution of the equation the interval of [0, 2) will be 0.65.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The trigonometric function is given below.

3 sec2x − 2 tan 2x − 4 = 0

Simplify the equation, then we have

3 sec2x − 2 tan 2x − 4 = 0

3 / cos 2x − 2 sin 2x / cos 2x = 4

3 − 2 sin 2x = 4 cos 2x

(3 − 2sin 2x)² = 16 cos² 2x

The graph of the functions is drawn below.

From the graph, the intersection of the graph is (0.65, 1.073). Then the solution of the equation the interval of [0, 2) will be 0.65.

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Answer:

Step-by-step explanation: using the y-intercept form, I see the y-intercept is 40 , at the point (0,40)

and we have a point (4,160), so

slope = (160-40)/(4-0) = 30

equqtion: y = 30x + 40 or 30x - y = -40

Answer: $960

Step-by-step explanation:

Regular Price = x

x*0.5 = 480

x = 960

Answer:

$960

Step-by-step explanation:

Since 480 dollars is half (50%) of the regular price...

you can find the total price by dividing 480 by 0.50 (50%)

or multiplying 480 by 2. You end up getting an answer of $960.

The time it takes for the country's population to double is 1000 years. The total population would be 10 million people.

We can calculate the population growth by

P = P₀ × r × t

Where

Suppose that immigration is the only factor of population growth. We have

Find the time that takes the country's population to double!

To make the country's population double, the population growth should be also 5 million people.

The formula would be

5,000,000 = 5,000,000 × 1/000 × t

t = 1,000/1

t = 1,000 years

Hence, the country's population will be double after 1,000 years.

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For the given distance the time taken for the company plan to replace the machine in order to receive this trade in value is 4 years.

The term called distance is defined as the two points lie on the same horizontal or same vertical line and it is the distance can be found by subtracting the coordinates that are not the same.

Here we have know that the company buys a digital scanner for $12,000 the value of the scanner is $12,000 (1-n/5) after n years.

And here we also know that the company has budget to replace the scanner when the trade-in value is 2400.

By Using the given expression for the value of scanner after n years, we equate it to $2400 and solve for n is written as,

=> 12000 (1 - n/5) = 2400

When we simplify this one then we get,

=> 1 - n/5 = 2400/12000

=> 1 - n/5 = 0.2

=> n/5 = 0.8

=> n = 4.

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The balance will be $15,036.30 after 7 years.

Compound interest, also known as interest on principle and interest, is the practise of adding interest to the principal amount of a loan or deposit.

We have,

P = $10,000

R= 6%

T= 7 years

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n[tex])^{nt[/tex]

A = 10,000.00(1 + 0.06/1)⁷

A = 10,000.00(1 + 0.06)⁷

A = $15,036.30

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The height of the CN tower found using the trigonometric function to the nearest metre is 555m.

What are the different trigonometric functions?

Trigonometric functions are used to determine the relationship between

angles and sides of a triangle.

The basic functions are sine, cosine and tangent.

sine = perpendicular/hypotenuse

cosine = base/hypotenuse

tangent = perpendicular/base

From the figure, we can see the right-angled triangles made by both the model and real CN towers.

Since the shadow is cast at the same time of the day, we can say that the angles θ and Φ formed are the same angles.

So from the figure,

tan θ = tan Φ

  0.9/0.2 = h/ 123.3

h = 554.85 m

Therefore the height of the CN Tower to the nearest metre is 555m.

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Answer:

5 hours

OR

300minutes

Step-by-step explanation:

1 degree lost 1 hour

5 degrees lost (5×1) hours

5hours

1 hour=60 minutes

5hours= (5×60)

300minutes

subtract 22 from 27 the results is=5

The simplification of qr⁻⁴s⁰q⁻⁸r⁻¹s⁰q⁻¹rs⁹ using positive exponent is expressed as [tex]$ \frac{s^9}{q^8r^4}[/tex]

A positive exponent indicates that the base should be multiplied by that many.

An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite. Negative exponents like xn can be rewritten as 1 / rs. As an illustration, qr^-4  s^6 q ^-8 s^6 q^-1 rs^6

The Power Rule for Exponents is a further exponent rule that follows from this. You multiply the exponents while keeping the base constant to simplify a power of a power. As an illustration, b for any positive s^6 q ^-8 s^6 q^-1 rs^6 number x and integers q and s.

⇒ qr⁻⁴s⁰q⁻⁸r⁻¹s⁰q⁻¹rs⁹

⇒ qr⁻⁴ × 1q⁻⁸r⁻¹×1q⁻¹rs⁹

⇒ qr⁻⁴ × 1q⁻⁸r⁻¹×1q⁻¹rs⁹

⇒ qr⁻⁸ × r⁻⁴ × s⁹

[tex]$ \Rightarrow \frac{1}{q^8} \times \frac{1}{r^4} \times s^9[/tex]

[tex]$ \Rightarrow \frac{s^9}{q^8r^4}[/tex]

Thus , The simplification of qr⁻⁴s⁰q⁻⁸r⁻¹s⁰q⁻¹rs⁹ using positive exponent is expressed as [tex]$ \frac{s^9}{q^8r^4}[/tex]

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Answer: $5.55

Step-by-step explanation: 15% = 0.15

                                             37 / 0.15 = 5.55

Answer: C.

Step-by-step explanation:

since the four friends are SPLITTING the rental cost, it would be dividing.

Then, since it says NO MORE THAN it would be less than or equal to as the symbol for the inequality.

Kelly's brothers age after 4 2/3 is 23 12/24 years.

What is Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

What is mixed fraction?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

We have  ;

Kelly's Brother is 18 7/8 year old.

We have to calculate;

His age after 4 2/3 years.

So,  

⇒ 18 7/8 + 4 2/3

⇒ 151/8 + 14/3

⇒151 x 3 + 14 x 8/24

⇒453 + 112 /24

⇒565/24

⇒23 13/24 year old

Hence , his age after 4 2/3 is 23 13/24 years.

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If Jason planted 11 packs of seeds in his 4 garden's he planted the same amount of seeds in each garden then the number of packs of seeds were planted is 2.74 pack for each garden  .

the number of packs of seed planted by Jason is = 11 packs  ;

the number of gardens in which the seeds are planted is = 4 garden ;

the amount of packs planted in each garden can be calculated by the expression on dividing "number of seed packs" by "number of gardens" ;

⇒ (number of seed packs)/(number of gardens) ;

Substituting values of number of seed pack and number of garden ,

we get ;

= 11/4 = 2.74 .

Therefore , Jason planted 2.74 packs of seed in each garden .

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Answer

  5518

28/154504

154504

1 4 0      

 1 4 5    

 1 4 0    

     5 0  

     2 8  

     2 2 4

     2 2 4

         0

Answer: 70

Step-by-step explanation:

70 kilometers if 3.5 centimeters is the distance and each centimeter represents 20 kilometers, 3.5 times 20 is equal to 70

The possible prices of the new dress must be any value less than or equal to $45.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.

Start with the inequality x ≤ 45

This inequality states that x must be less than or equal to 45.

Therefore, the possible prices of the new dress must be any value less than or equal to $45.

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The probability that at least 30% of the items in the shipment are defective is 0.7360.

The beta distribution with parameters (3,3) is the conjugate prior for the binomial distribution with a probability of success of p, where 0<p<1.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of Bernoulli trials. A Bernoulli trial is a random experiment with two possible outcomes: success or failure. In the context of the problem you presented, success would be a defective item, and failure would be a non-defective item.

To find the probability that at least 30% of the items in the shipment are defective, we can use the cumulative distribution function (CDF) of the beta distribution. The CDF of the beta distribution is given by:

F(x;a,b) = (x^(a-1) * (1-x)^(b-1)) / B(a,b)

where x is the proportion of defective items, a and b are the shape parameters, and B(a,b) is the beta function.

We want to find P(X >= 0.3) where X is the proportion of defective items. Substituting the values for a, b, and x we get

P(X >= 0.3) = 1 - P(X < 0.3)

= 1 - F(0.3;3,3)

= 1 - ((0.3^(3-1) * (1-0.3)^(3-1)) / B(3,3))

= 1 - ((0.3^2 * 0.7^2) / (1/6))

= 1 - ((0.09 * 0.49) / (1/6))

= 1 - (0.044/0.1666)

= 1 - 0.2640

= 0.7360

Therefore, The probability that at least 30% of the items in the shipment are defective is 0.7360.

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Answer:

h = [tex]\frac{S-2\pi r^2}{2\pi r}[/tex]

Step-by-step explanation:

S = 2πr² + 2πrh ( subtract 2πr² from both sides )

S - 2πr² = 2πrh ( isolate h by dividing both sides by 2πr )

[tex]\frac{S-2\pi r^2}{2\pi r}[/tex] = h

She would be doing 9 hours of studying per day and 6 hours of other activities. This is because 15 hours divided by 9 hours of studying and 6 hours of other activities would equal the same amount of time allocated to each activity.

The amount of studying she is going to do per day is 9 hours, and the amount of other activities she is going to do per day is 6 hours.   This means that she will be dedicating roughly 60% of her waking hours to studying and 40% to other activities. This is a good balance between the two activities, and it will ensure that she is able to adequately focus on both her studies and other activities.

This balance will also help her to stay motivated and not become overwhelmed by her studies. Having a set amount of time for both activities will also help her to organize her day and stay on track. It will give her a sense of structure and allow her to plan her day accordingly.

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Answer:

$4.38

Step-by-step explanation:

17.52/4=4.38

To earn at least $640 in revenue, the ticket prices should be $8 or $2

An equation is an expression that shows the relationship between two or more variables and numbers.

Revenue = number of tickets sold * price per ticket  R(p) = -40p^2 +400p-640

p² -10p +16

Factorizing the function to have

(p²-8p)-(2p+16)

p(p-8)-2(p-8)

p-2 = 0 or p-2=0

This implies that

p=8 or p=2

p = $8 or p = $2

To earn at least $640 in revenue, the ticket prices should be $8 or $2.

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The distance travelled by Jasmine in 3 1/5 hours is 108 miles.

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

Plug in given values into the above equation and solve for distance.

Speed = Distance / time

Distance = Speed × Time

Distance = 33 3/4 × 3 1/5

Convert to improper fraction

Distance = (33 × 4 + 3)/4 × ( 3 × 5 + 1)/5

Distance = 135/4 × 16/5

Distance = 2160 / 20

Distance = 108 miles

Therefore, the distance covered is 108 miles.

Option D) 108 miles is the correct answer.

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Answer:

what is the question the website is blocked

Step-by-step explanation: