Solve the inequality.
2(4+2x)25x+5
o x<-2
O x>-2
O x<3
O X>3

We are given the following parent function f(x)

The transformed function g(x) is

Notice that the change is done in the horizontal direction.

Recall that the transformation rule for the horizontal translation to the left is given by

Where c is the number of units by which the graph is shifted to the left.

So, we should expect that the graph is horizontally shifted to the left by 1 unit.

Therefore, the above is graph represents the transformed function g(x) which is horizontally shifted to the left by 1 unit.

The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

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Answer:

Solution given:

m∠ADB=(4x−12)°

m∠CDB=(3x+6)°

m∠ADC =?

Since diagonal BD bisect the angle <ADC

so

m∠ADB= m∠ADC

(4x-12)°=(3x+6)°

4x-3x=6-12

x=12+6

x=18°

again.

<ADB=m∠ADB+ m∠ADC=4×18-12+3×18+6=120°

So

the m∠ADC =120°

As it's a rhoumbus angles are equal

m<ADC

Answer:

a technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. we can write the statement that f is a function from x to y using the function notation F:X~F

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)

Answer:

y=mx+b

Step-by-step explanation:

Answer:

2/5(3/2x - y + 25)

Step-by-step explanation:

The GCF is 2/5

Factoring:

= 2/5(3/2x - y + 25)

Answer:

ans is 9√3

tan∅=p/b

tan60=p/9

9√3=p

a) The probability that the bank is empty is approximately 0.0026.

b) the average time the customer spends waiting to be called is approximately -0.25 c) hours the average number of customers in the bank is -1.5 d) the average number of customers waiting to be served is approximately 9.

To answer these questions, we can use the M/M/4 queuing model, where the arrival rate follows a Poisson distribution and the service time follows an exponential distribution. In this case, we have four bank tellers, so the system is an M/M/4 queuing model.

Given information:

Arrival rate (λ) = 12 customers per hour

Service rate (μ) = 1 customer every 15 minutes (or 4 customers per hour)

(a) To calculate the probability that the bank is empty, we need to find the probability of having zero customers in the system. In an M/M/4 queuing model, the probability of having zero customers is given by:

P = (1 - ρ) / (1 + 4ρ + 10ρ² + 20ρ³)

where ρ is the traffic intensity, calculated as ρ = λ / (4 * μ).

ρ = (12 customers/hour) / (4 customers/hour/teller) = 3

Substituting ρ = 3 into the formula, we have:

P = (1 - 3) / (1 + 4 * 3 + 10 * 3² + 20 * 3³) ≈ 0.0026

Therefore, the probability that the bank is empty is approximately 0.0026.

(b) The average time the customer spends waiting to be called is given by Little's Law, which states that the average number of customers in the system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In this case, we want to find W.

L = λ * W

W = L / λ

Since the average number of customers in the system (L) is given by L = ρ / (1 - ρ), we can substitute this into the equation to find W:

W = L / λ = (ρ / (1 - ρ)) / λ

W = (3 / (1 - 3)) / 12 ≈ -0.25

Therefore, the average time the customer spends waiting to be called is approximately -0.25 hours, which is not a meaningful result. It seems there might be an error in the given data.

(c) The average number of customers in the bank (L) can be calculated as:

L = ρ / (1 - ρ) = 3 / (1 - 3) = -1.5

Therefore, the average number of customers in the bank is -1.5, which is not a meaningful result. It further suggests an error in the given data.

(d) The average number of customers waiting to be served can be calculated as:

\(L_q\) = (ρ² / (1 - ρ)) * (4 - ρ)

Substituting ρ = 3, we have:

\(L_q\\\) = (3² / (1 - 3)) * (4 - 3) ≈ 9

Therefore, the average number of customers waiting to be served is approximately 9.

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Answer: (-6,19)

Step-by-step explanation:

Add -4 and -2

then add both y1 and y2

Answer:

a) Yes, the graph is proportional.  It is linear and it goes through the point (0,0)

b) No shells cost no dollars

c)  3 shells cost 1.20

Step-by-step explanation:

To graph this, you only need 2 points.  You have the points (0,0).  You can put a point at (0,0) and at the point ( (3, 1.20) and then draw a line through those 2 points.

In 77 times, the value of 1 3/5 is added with 1 3/5 to get 100 as the final value by solving the mathematical calculation.

To solve this problem, we can use a simple formula:

n = (target sum - initial sum) / increment

In this case, our target sum is 100, our initial sum is 1 3/5 or 8/5, and our increment is also 1 3/5 or 8/5. Substituting these values into the formula, we get:

n = (100 - 8/5) / 8/5

n = 625/8 - 8/5

n = 77.125

So we need to add 1 3/5 by 1 3/5 approximately 77 times to reach a sum of 100. We can confirm this by multiplying 77 by the increment and adding it to the initial sum:

77 x 8/5 = 123.2

123.2 + 8/5 = 100.0

Therefore, we have successfully reached a sum of 100 by adding 1 3/5 by 1 3/5 approximately 77 times.

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For a student who participate in a wide variety of extra-curricular memorial high school, the probability of the union of being either a freshman or senior is equals to the 0.50.

We have students who attend memorial high school have a wide variety of extra-curricular activities.

Probability of student who likely to join the dance team = 38% = 0.38

Probability of student who likely to participate in the school play = 18% = 0.18

Probability of students who likely to join the yearbook club = 42% = 0.42

Probability of students who likely to join the marching band = 64% = 0.64

Also, students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

So, the probability ( a student is senior )

= 1/4 = 0.25

The probability ( a student is freshman )

= 1/4 = 0.25

We have to determine the union of being either a freshman or senior. Now, the probability of the union of disjoint or independent events is the sum of their individual probabilities.

So, probability ( a student is freshman or senior) = P( freshman ∪ senior )

= P( freshman) + P( senior)

= 0.25 + 0.25 = 0.50

Hence, required probability is 0.50.

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A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

B. 17.50(x + y)

Step-by-step explanation:

So lets find the equation for monday:

It would be 17.50 times x

or:

17.50(x)

For Tuesday:

17.50 times y

17.50(y)

17.50(x) + 17.50 (y) = 17.50(x+y)

Or B.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

-√2/2

Step-by-step explanation:

see pic

cos 225° = 5π/4

225° - 180° = 45

cos 45° = π/4

cos 45° = √2/2

since 225° is In the third quadrant

In the third quadrant, the cosine is negative so

cos 225° = -√2/2

chatgpt bardAI socraticorg

Answer:

A. 40°

Step-by-step explanation:

As we can see it is an isosceles triangle because two sides are equal. so Base angles of an isosceles triangle are equal. Then Now.,

70° + 70° + <X = 180° {Being sum of angles of triangle }

140° + < X = 180°

< X = 180° - 140°

< X = 40°

Hope it will help :)❤

Answer:

brian is 15 and alice is 13

Step-by-step explanation:

just use x+x+2=28 nd u will get the answer

Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

Answer:

I think it's 1/4 or .25

Answer:

The volume of the irregular figure would be 102 \(cm^3\).

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is \(l*w*h\), where \(l\), \(w\), and \(h\), represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be \(6*3*5=30*3=90 cm^3\), and the volume of the smaller rectangular prism would be \(3*2*2=6*2=12 cm^3\). So the volume of the entire irregular figure would be \(90+12=102 cm^3\).

Answer:

102

Step-by-step explanation:

Large rectangle:

6 × 3 × 5 = 18 × 5 = 90

Small rectangle:

7 - 5 = 2

3 × 2 × 2 = 6 × 2 = 12

90 + 12 = 102

Hope this helped.

The rate of change of an edge of the cube is approximately 0.048 m/min when the volume is exactly 27 cubic meters.

To find the rate of change of an edge of the cube, given that the volume decreases at a rate of 4 cubic meters per minute when the volume is exactly 27 cubic meters, follow the solution below:Let the length of the edge of the original cube be L.Let the volume of the original cube be V, such that V = L³.The rate of change of volume is given as -4 m³/min; the negative sign is used to indicate a decrease in volume, and this is obtained when the derivative of the volume with respect to time is multiplied by the negative sign.Let V₀ be the original volume of the cube, and V₁ be the volume after t minutes. Thus, V₁ = V₀ - 4t m³. We are told that V₁ = 27 m³, hence:V₀ - 4t = 27 ⇒ V₀ = 27 + 4t m³Substituting V₀ in terms of t into the expression V = L³, we have:L³ = 27 + 4tTaking the derivative of both sides with respect to t, we have:3L²(dL/dt) = 4 ⇒ dL/dt = 4/(3L²)Substituting L from the expression L³ = 27 + 4t, we have:L = (27 + 4t)^(1/3)Therefore, the rate of change of an edge of the cube is given by the derivative of L with respect to t:dL/dt = 4/(3L²) = 4/(3(27 + 4t)^2/3) ≈ 0.048 m/min (to 3 decimal places)Answer: The rate of change of an edge of the cube is approximately 0.048 m/min when the volume is exactly 27 cubic meters.

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

Like radicals are those terms that are similar, just like like terms. From this concept we find that option A is correct. 4[∛(7x)] and ∛(7x) are like radicals.

Step-by-step explanation:

Mathematically, like radicals are just like like terms. For example,

x, 2x, -10x, , 7.3x are like terms because the power of x in each case is 1.

xy², -9xy², 13y²x are like terms because the total power of each expression is 3.

Similarly, like radicals are:

√2, -5√2, 1.1√2, etc.

Hence, from the given options, like radical to ∛(7x) is: 4[(7x)].

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Answer: I believe it’s f(x)=4(3)^x-1

Step-by-step explanation:

The statement opportunity cost for Germany to produce 1 beer is 1/2 motorcycles is true.

The German economy would be better off if it produced beer and traded motorcycles with the US.

Germans would benefit from specializing in producing beer and engaging in trade with the United States since their opportunity cost is lower (1/2 is less than 3).

A country is said to be having a comparative advantage in producing a good if it can produce it at a lower opportunity cost. Germany has a lower opportunity cost in producing beer so it has a comparative advantage in making beer.

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Answer:

The car will travel 30 2/3 miles in 45 minutes. The car will travel 40 miles in 1 hour

Step-by-step explanation:

HOPE THIS HELPS:>

The dimensions of the rectangle are 10 feet (length) and 8 feet (width).

To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,

follow these steps:

1. Let the length of the rectangle be L feet and the width be W feet.

2. According to the given information, W = L - 2.

3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.

4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).

5. Solve the quadratic equation: 80 = L² - 2L.

6. Rearrange the equation: L² - 2L - 80 = 0.

7. Factor the equation: (L - 10)(L + 8) = 0.

8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).

9. Substitute L back into the equation for W: W = 10 - 2 = 8.

So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).

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An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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