Can someone help me with part A? I've been stuck on it for 30 minutes now and nobody has been able to help me with it so far :(

Answer:

819

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

You would do it backwards, starting with 7 x 2. That would get you x

(P.S I love your pfp-)

Answer:

X=7

Step-by-step explanation:

X/2=7

so u take the numbers on one side and the variable on the other so now it's

X=7×2

X=14

Answer:

Are the 1 and 7 rogether? because if so then -20, -2, 4, 16, 17, if not then -20, -2, 1, 4, 7, 16

The initial number of bacteria in a culture is found as 200.

Using the model P = P₀e^(kt),

Where:

P(t) = the amount of bacteria at time t = 2000.

P₀ = initial amount at time t = 0

r = growth rate

t = time (number of periods)

k is the growth constant.

For t = 3 hours.

400 =P₀e^(k*3)    ......eq 1

2000 = P₀e^(k*10)   ......eq 2

Re writing eq 1.

400 = P₀e^(k*3)

as (400/P₀) = [e^k]^3,

Solve for e^k,

∛(400/P₀) = e^k

For eq 2.

2000 = P₀e^(k*10)

Rewrite it as;

(2000/P) = [e^k]^10.  

Substituting ∛(400/P₀) for e^k, we obtain:              

(2000/P₀) =  (400/P₀ )^(10/3)

Solved for P.  

Raise sides by the power of 3, we get:

(2000/P₀)^3 = (400/P₀)^10.

Therefore,

2000^3/  P₀^3  =  400^10/P₀^10

Solve,

2000^3/ 1 =  400^10/P₀^7

Taking reciprocal.

Solving

P₀^7 = 400^10/2000^3

P₀^7 = 1.31 x 10¹⁶

Take the 7th root of both sides;

P₀ = 200.67

Thus, the initial number of bacteria in a culture is found as 200.

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(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

32/9

So the producer surplus at the equilibrium point is 32/9 dollars.

To find the equilibrium point, we need to set D(x) equal to S(x) and solve for x:

(x-7)^2 = x^2 + 2x + 33

Expanding and simplifying:

x^2 - 14x + 49 = x^2 + 2x + 33

12x = 16

x = 4/3

So the equilibrium point is x = 4/3.

To find the consumer surplus at the equilibrium point, we need to find the difference between the maximum price consumers are willing to pay (D(4/3)) and the equilibrium price (S(4/3)) and multiply by the quantity sold (4/3):

Consumer surplus = (D(4/3) - S(4/3)) * (4/3)

= [(4/3 - 7)^2 - (4/3)^2 - 2(4/3) - 33] * (4/3)

= [49/9 - 16/9 - 8/3 - 33] * (4/3)

= -224/27

So the consumer surplus at the equilibrium point is -224/27 dollars.

To find the producer surplus at the equilibrium point, we need to find the difference between the equilibrium price (S(4/3)) and the minimum price producers are willing to accept (S(0)) and multiply by the quantity sold (4/3):

Producer surplus = (S(4/3) - S(0)) * (4/3)

= [(4/3)^2 + 2(4/3) + 33 - 33] * (4/3)

= 32/9

So the producer surplus at the equilibrium point is 32/9 dollars.

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The production cost of company 1 is higher than company 2, and when producing the same number of units, company 2 has a lower production cost than company 1. This indicates that when producing the same number of units, company 2 has a lower production cost than company 1.

The given function represents the production cost f(x), in dollars, for x number of units produced by company 1:f(x) = 0.25x² − 8x + 600

The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:x     g(x)6     862.28     856.810   85512   856.814   862.2

To determine whether the production cost of company 1 is less than the production cost of company 2 when producing the same number of units, we must find the production cost of both companies for each given value of x and then compare them. Using the formula above, the production cost of company 1 for each given value of x is:

f(6) = 0.25(6)² − 8(6) + 600= 81 dollars

f(8) = 0.25(8)² − 8(8) + 600= 88 dollars

f(10) = 0.25(10)² − 8(10) + 600= 95 dollars

f(12) = 0.25(12)² − 8(12) + 600= 100 dollars

f(14) = 0.25(14)² − 8(14) + 600= 103 dollars

The production costs of company 2, which are given in the table, are:g(6) = 862.2 dollars

g(8) = 856.8 dollars

g(10) = 855 dollars

g(12) = 856.8 dollars

g(14) = 862.2 dollars

We can see that for each value of x, the production cost of company 1 is higher than the production cost of company 2. Therefore, when producing the same number of units, the production cost of company 2 is less than the production cost of company 1.

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The range of the graphed function is expressed as: -∞ < y < ∞

Range corresponds to the values on the y-axis while the Domain corresponds to values on the x-axis.

From the graph of a function h(x), we want to find the range of the function in inequality notation.

The range is all possible y-values of the function. Thus, let's find all possible y-values from the graph.

If we look at the graph closely, we see that it has a vertical asymptote at x = 1 and a slant asymptote.

But it includes all y values from -infinity to infinity.

Thus, we can write range as -∞< y < ∞ because both sides of the function go and so on below the x-axis and go and so on above the x-axis.

The range is  -∞< y < ∞ .

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Answer:

62 because that one is an acute so I hope this was helpful

Answer:

So BD= 2*(y+4) -> 2*(4+4) = 16

and AX is the same lenght as BX so: AX = y+4 -> 4+4 = 8

Step-by-step explanation:

hope that helped

Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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Answer: 0.12

Step-by-step explanation: Well since 5/5=1 and in this case 3/5 of 0.2 or

3/5 x 0.2 = 0.12miles of the bridge is finished. to check do 0.2*2/5 since 2/5+3/5=5/5 or the total 0.2miles. so 0.2*2/5 =0.8 and 0.8+0.12= 0.2

Each of the measurements made must contain the correct number of significant figures, in order to provide more accurate values.

Significant figures, as their name mentions, are those figures that have meaning or validity for the type of measurement that is made. Although in large elements they may not be too necessary, in small elements they are crucial.

Due to the aforementioned, if the measurements are being taken from elements of small sizes, it is possible that all the significant figures available are required, so that the measurement and subsequent calculations are as accurate as possible.

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Answer:

1,514.40

Step-by-step explanation:

15% of 96 is 14.40$. if she only sold one bottle its 1514.40.

Answer:

Yes.

Step-by-step explanation:

To find if a triangle is a right triangle or not, we use the Pythagorean theorem. The Pythagorean theorem states that \(a^{2} + b^{2} = c^{2}\).

a and b are the triangle legs. The c is the hypotenuse of the triangle.

Now, to find if a triangle is a right triangle, we plug in 9 for a and b and 9root2 for c.

\(9^{2} + 9^{2} = (9\sqrt{2})^{2}\)

81 + 81 = 81 * 2

162 = 162

So the given triangle, is indeed a right triangle.

It would require 2257920 blocks to construct the great pyramid.

Given,

Side of  base of pyramid = 756 ft = \(\frac{756}{3}\) = 252 yard

height of pyramid = 480 ft = \(\frac{480}{3}\) = 160 yard

volume of 1 block which is used to construct pyramid = 1.5 cubic yard

Volume of pyramid can be determined by formula,

\(Volume\ of\ pyramid\ =\ \frac{1}{3}*area\ of\ base*height\)

At first,

area of base=side x side = 252x252= 63504 square yard

now,

\(Volume\ of\ pyramid\ =\ \frac{1}{3}*area\ of\ base*height\\\\Volume\ of\ pyramid\ = \frac{1}{3}*63504*160\\\\Volume\ of\ pyramid\ = \frac{1}{3}*10160640\\\\Volume\ of\ pyramid\ = 3386880\ cubic\ yard\)

Now, the number of blocks required to construct the pyramid will be,

\(Number of blocks =\frac{3386880}{1.5}=2257920\)

Thus, the number of blocks required to construct the great pyramid is 2257920.

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Your question is incomplete, please complete the question

We can determine whether two lines are parallel, perpendicular, or neither using the slopes of the lines.

Two lines are parallel when both of the lines have the same slope, for example:

Two lines are perpendicular to each other when the product between the lines is equal to -1, for example:

if none of the conditions stated before the lines are neither parallel nor perpendicular.

In the given exercise:

both lines have different slopes, then they are not parallel.

Find the product between the slopes,

Answer:

The lines shown are perpendicular to each other because the product between the slopes is equal to -1.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

W (-3,-5) and T (2,-2)

The distance between them is

\( |WT| = \sqrt{ ({ - 3 - 2})^{2} + ( { - 5 + 2})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 3})^{2} } \: \: \: \\ = \sqrt{25 + 9} \\ = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.830951\)

We have the final answer as

Hope this helps you

Answer:

√34

Step-by-step explanation:

\(W (-3,-5) =(x_1,y_1)\\T (2,-2)=(x_2,y_2)\\\\d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(2-\left(-3\right)\right)^2+\left(-2-\left(-5\right)\right)^2}\\\\d=\sqrt{\left(2+3\right)^2+\left(-2+5\right)^2}\\\\d=\sqrt{5^2+3^2}\\\\d=\sqrt{25+9}\\\\d=\sqrt{34}\)

Answer:

New force = 24 N

Step-by-step explanation:

The force acting on the object varies directly with the object's acceleration

i.e.

\(\dfrac{F_1}{F_2}=\dfrac{a_1}{a_2}\) ...(1)

We have,

F₁ = 40 N, a₁ = 10 m/s², a₂ = 6 m/s₂, F₂ =?

Put all the values in equation (1).

\(F_2=\dfrac{F_1a_2}{a_1}\\\\F_2=\dfrac{40\times 6}{10}\\\\F_2=24\ N\)

So, the new force becomes 24 N.

Nevertheless, factοrizing  intο twο binοmials is nοt pοssible since  expressiοns is a quadratic equatiοn with nο factοrs οf the fοrm  where a, b, c, and d are cοnstants.

In mathematics, an expressiοn is a set οf numbers, variables, and mathematical οperatiοns (such as additiοn, subtractiοn, multiplicatiοn, divisiοn, expοnentiatiοn, and sο οn) that expresses a quantity οr value. Expressiοns might be simple, like "3 + 4", οr cοmplex, like "(3x² - 2) / (x + 1)". They may alsο include functiοns such as "sin(x)" οr "lοg(y)". Expressiοns can be evaluated by substituting values fοr the variables and carrying οut the mathematical οperatiοns in the given οrder. Fοr instance, if x = 2, the fοrmula "3x + 5" is 3(2) + 5 = 11. In mathematics, expressiοns are widely used tο explain real-wοrld situatiοns, build equatiοns, and simplify cοmplex mathematical issues.

cannοt be factοrized any further because it is already in its mοst basic fοrm.

Nevertheless, factοrizing  intο twο binοmials is nοt pοssible since  is a quadratic equatiοn with nο factοrs οf the fοrm  where a, b, c, and d are cοnstants.

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Complete Question;

Factorise 3x squared  intο twο binοmials.

Answer:

30 plus 20 is 50

30 minus 20 is 10

Answer:

false: the event will never occur; the event will definitely occur; the event is likely to occur

true: there is a small chance that the event will occur

Step-by-step explanation:

Answer:

3x + 1

Step-by-step explanation:

Answer:

3x + 1

Step-by-step explanation:

The value of v in the equation is 26

The equation is given as

v= u + at

The parameters given are

u= 6

a= 10

t= 2

v= 6 + 10(2)

v= 6 + 20

v= 26

Hence the value of v in the equation is 26

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Answer:

what ? how much do you pay each day

Step-by-step explanation:

Answer:

\(60n - 97\)

Step-by-step explanation:

\(3 - 5( - 3n + 5)3 - 5( - 3n + 5)\)

\(3 + (15n - 25)3 + 15n - 25\)

\(3 + 45n - 75 + 15n - 25\)

\(60n - 97\)

The number of people who bought fewer than 30 items exists 204.

The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.

Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.

As opposed to bar charts, which show categorical variables, histograms visualize quantitative or numerical data. Typically, a histogram's numerical data will be continuous (having infinite values).

Number of people who bought fewer than 30 items

= (0.14 + 0.12 + 0.24)400

= 0.51 x 400 = 204

Therefore, the correct answer is option B) 204.

The complete question is:

The histogram shows the number of items that customers bought during a trip to the grocery store one day. Four hundred customers took a trip to the grocery store that day. Which is the best estimate for the number who bought fewer than 30 items during their trip?

A) 278

B) 204

C) 148

D) 106

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Answer:

pretty sure its step 2

Step-by-step explanation:

Answer:

20

Step-by-step explanation: