The variable y varies directly as x, and
y = 84
when
x = 63.
Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.)
y =

Using the given data, solve for the variation constant k.
k =

Arc length = 2πr (a/360)

Where:

r= radius = 3 cm

a = central angle= 42°

We are going to calculate Arc length CB

Arc length = 2π 3(42/360) = 2.19 cm

Calculate the circumference :

C = π 2 r = π 2 (3) = 18.84

Subtract the arc length CB to the circumference

18.84-2.19 = 16.65 cm (option d)

Answer:

D

Step-by-step explanation:

2.25x50=112.5

112.5 rounds up to 113, which is D

Answer:

33.75?

Step-by-step explanation:

2.25*15

Answer:

875 ft²

Step-by-step explanation:

The rectangles are similar.

The scale factor is 5 since 25/5 = 5.

The scale factor of the areas is the square of the scale factor of the sides.

area of EFGH = 5² × 35 ft² = 875 ft²

Answer:

Step-by-step explanation:

Answer:

$10,750

Step-by-step explanation:

x is the original price, and we'll subtract $1,500 after we double that:

2x -1500 = 20,000

add 1500 to both sides

2x = 21500

divide both sides by 2

x = 10,750

Answer:

The exact volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.

Step-by-step explanation:

The volume of a cylinder can be calculated using the formula:

\(\boxed{V = \pi r^2 h}\)

where:

Given values:

Substitute the given values into the formula and solve for V:

\(\begin{aligned} \implies V&=\sf \pi \cdot 3^2 \cdot 8\\&=\sf \pi \cdot 9 \cdot 8\\&=\sf 72\pi \;cm^3\\&= \sf 226.19\; cm^3\;(2\;d.p.)\end{aligned}\)

Therefore, the volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.

Answer:

320

Step-by-step explanation:

Distance to go

2km - 1.2 km = 0.8km = 800m

Revolutions needed

800/2.5 = 320

Answer:

what's the question-

Step-by-step explanation:

Answer:

Step-by-step explanation:

I assume that you mean  8!/(5!3!). The parentheses matter.

Answer: C

Step-by-step explanation:

Answer:

g

is −12

-

1

2

.

−12

-

1

2

·

·

=

=

−1

Answer:

The answer is 19.49

Step-by-step explanation:

Hope this help you

Answer:

19.5

Step-by-step explanation:

19.49= 19.5

because of the nearest tenth

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.

In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:

150 = l × 10

Dividing both sides by 10, we get:

15 = l

Therefore, the length of the rectangle is 15 meters.

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Answer:644.355

i tried ok

Step-by-step explanation:

I got you!

Since you dont know how many individual songs he wrote, we will represent that as x. Now, to find the total amount spent on buying "x" individual songs, you would have to multiply that by the 1.29$ it costs. Therefore, with the inclusion of the 9.99$ from the album, your equation is:

50 = 1.29x + 9.99

Answer: 27.688

Step-by-step explanation:

The critical chi-square value \(\chi^2_{(df,\alpha)}\) depends on significance level (\(\alpha\))  and degrees of freedom (df) .

Given significance level: (\(\alpha\)) = 1% = 0.01

Degrees of freedom (df)= 13

From the chi-square table, the critical chi-square value for df = 13 and \(\alpha =0.01\)

is \(\chi^2_{(df,\alpha)}=27.688\)

Hence, the  required critical value = 27.688

According to this inequality, the number of persons attending a theatrical inequality  play, denoted by p, must be less than or equal to 275 in order for everyone to have a seat.

In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. We resuming our current status quo. Yet a variety of things lead to inequality: Negative values on both sides are split or added.

a. The disparity in representing the voting age in the United States is as follows:

a ≥ 18

In order to be eligible to vote, a voter's age, denoted by a, must be more than or equal to 18 years old.

b. The inequality used to depict a theater's seating capacity is:

p ≤ 275

According to this inequality, the number of persons attending a theatrical play, denoted by p, must be less than or equal to 275 in order for everyone to have a seat.

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The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Hello,

\(f(x) = ax + b \: \Leftrightarrow f(x) = - 2x + b\)

We have :

\( - 2 \times ( - 6) + b = 4\)

\(\Leftrightarrow \: 12 + b = 4\)

\(\Leftrightarrow \: b = 4 - 12\)

\(\Leftrightarrow \: b \: = - 8\)

\(f(x) = - 2x - 8\)

The perimeter of the decking area is 800cm.

It is important to note that the decking area takes the shape of a rectangle

The formula for determining the perimeter of the decking area is given as;

Perimeter = 2 multiplied by the sum of the length and width of the rectangle

It is mathematically written as;

Perimeter = 2 ( length + width)

Where;

Now, let's substitute the values into the formula

Perimeter = 2 ( 150 + 250)

Sum the bracket

Perimeter = 2 ( 400 )

Perimeter = 2 × 400

Perimeter = 800 cm

Thus, the perimeter of the decking area is 800cm

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The number of blonde hair guests at the party is found to be 75.

A biased sample favors one or more segments of the population over others, whereas an unbaised sample gives everyone in the population an equal chance of being chosen.

The stated question:

No. of brown hair guest: 2.

No. of blond hair guest: 3

No. of red hair guest: 1

No. of black hair guest: 2

Total guests: 200

This data is the unbiased sample.

Probability of blonde hair guests = 3/ 8

P(blond hairs) = 3/8

So,

No. of blond hair guest / 200 = 3/8

n = 3/8 *200 = 75

Thus, the number of blonde hair guests at the party is found to be 75.

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Answer:

39 divided by 3 = 13+3=16 therefore Louis is 16 and sanchez i

Step-by-step explanation:

s going to be 23 years of age. Because 39-16=23

Answer: Louis is 27 yrs old and Sanchez is 12 yrs old

Step-by-step explanation:

Sanchez is 12 yrs old

Louis is "twice" the age of sanchez (24) yrs old plus 3 years= (27)years old

Now add 27+12 =39 yrs in total

The functions f, g, h and k are \(f(x)=15\cdot 3^{x}\), \(g(x) = 26\cdot 0.5^{x}\), \(h(x) = 7\cdot 8^{x}\) and \(k(x) = 280\cdot 0.143^{x}\), respectively.

A function is monotonous when is either increasing or decreasing for all value of \(x\). A power function is a case of a monotonous function, whose model is defined below:

\(y = y_{o}\cdot r^{x}\) (1)

Where:

Now we proceed to define each function:

\(f(x)=15\cdot 3^{x}\) (2)

\(g(x) = 26\cdot 0.5^{x}\) (3)

\(h(x) = 7\cdot 8^{x}\) (4)

\(k(x) = 280\cdot 0.143^{x}\) (5)

The functions f, g, h and k are \(f(x)=15\cdot 3^{x}\), \(g(x) = 26\cdot 0.5^{x}\), \(h(x) = 7\cdot 8^{x}\) and \(k(x) = 280\cdot 0.143^{x}\), respectively. \(\blacksquare\)

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Answer:

The line is super close to 15 or 20. So one of those for sure

Step-by-step explanation:

Answer: its got to be 15 because the line isn't on 20

Step-by-step explanation:

For the function,

F(x)  = (x² + 11x +28)/(x² + 8x + 15) limit doesn't exist at x = -5 so it is dis-continuous at that point.

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  = (x² + 11x +28)/(x² + 8x + 15)

To check whether it is continuous at x = -5

First taking LHL,

\(\lim_{h \to \ 0}\) [(-5-h)² + 11(-5 -h) +28]/[(-5 -h)² + 8(-5 -h) + 15]

It is approaching at negative infinity

Now, taking RHL

\(\lim_{h \to \ 0}\)  [(-5+h)² + 11(-5 +h) +28]/[(-5 +h)² + 8(-5+h) + 15]

Again, It is approaching at negative infinity

Hence, here limit doesn't exist so it is not continuous at x = -5

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Answer:

L = P-2w

-----------------

2

That's your answer, your welcome.

Step-by-step explanation:

In the first week, the second week, the third week and the fourth week, the 4 employees are promoted to the position of general manager in 73440 ways.

Permutation and combination:

Permutation is the act of arranging objects or numbers in order.

Composition is the selection of objects or numbers from a group of objects or collections, the order of the objects being unimportant.

According to the Question:

Arranging elements in a specific order is called permutation. Here, the components of the collection are organized in a linear or sequential fashion. For example, the permutation of the set A=1,6 is 2, which is 1,6,1. Unlike composition, where the order of the parts does not matter, permutation requires the elements to be in a specific order.

The four qualified employees out of the 18 available employees can be promoted by:

\(P\left \{ {{y=18} \atop {x=4}} \right. = \frac{18!}{18-4}\)

In the solution we have obtained,

the total number of ways = 73440

Therefore,

total number of disadvantageous methods is 73440.

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On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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Answer:

A = 2S

2.25A + 1.75S = 1150

Substitute 2S for A and solve for S, then A.

Step-by-step explanation:

Answer:

2S

Step-by-step explanation:

so u see where not just changibg life's were telling stories

Answer:

Step-by-step explanation:

See first you simplify how many hours she has that is
5/2 hours or 2.5 hours that is 150 minutes
now she spends 2/5 or 40% time preparing snacks
now just multiply 150 by 2/5 and subtract that from the total time and get your answer
that is 150*2/5 = 60
150 - 60 = 90
so she has 90 minutes or 1.5 hours or 3/2 hours
whatever you like to say

Answer:

\(1\frac{1}{2}\)

Step-by-step explanation:

she spends \(\frac{2}{5}\) of the time cleaning, of just means times. so to get how much time she spent cleaning, multiply:

\(2\frac{1}{2}\times\frac{2}{5}=\\\frac{5}{2} \times\frac{2}{5} =\\\frac{10}{10}=1\)

so she spent 1 hour cleaning, to find how much time she spent preparing snacks, subtract:

\(2\frac{1}{2}-1=\\ 1\frac{1}{2}\)

so the answer is \(1\frac{1}{2}\)

Answer:

£3182.7

Step-by-step explanation:

£3000=100%

? =3%

3×3000/100

=£90

£(3000+90)=£3090(1st year)

£3090=100%

? =3%

3×3090/100=£3182.7