A cab company charges $1 per cab ride, plus an additional $1
per mile driven. How long is a cab ride that costs $50 ?

Answer:

=Y2-10Y

We move all terms to the left:

-(Y2-10Y)=0

We add all the numbers together, and all the variables

-(+Y^2-10Y)=0

We get rid of parentheses

-Y^2+10Y=0

We add all the numbers together, and all the variables

-1Y^2+10Y=0

a = -1; b = 10; c = 0;

Δ = b2-4ac

Δ = 102-4·(-1)·0

Δ = 100

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

Y1=−b−Δ√2aY2=−b+Δ√2a

Δ‾‾√=100‾‾‾‾√=10

Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10

Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0

Answer

well first u put it as 2/2 which is 2 then you have to times it by 69 which is 138 then divide that by 6.5 which is 21

Step-by-step explanation:

actual answer is 4 if you were serious about this

Answer: 4

Step-by-step explanation:

Use your hands:

2 on one hand

2 on the other hand

Put them together which is 4

I'm sorry. This does not come with a picture.

Answer:

The linear equation is;

Y = 450 - 2·X

Please find the included graph

Step-by-step explanation:

Whereby we have the following relation;

The cost of 1 pizza = X

The cost of 1 burger = Y

Hence;

450 = Y + 2·X

Which gives;

Y = 450 - 2·X

The linear equation for the situation is therefore as presented above

The graph of the linear equation can be plotted using the assumed data as follows;

Y,           X

1,           448

2,          446

3,         444

4,          442

5,          440

6,          438

7,          436

8,          434

9,          432

10,          430

11,          428

12,          426

13,          424

14,          422

15,          420

16,            418

The linear equation for this situation is 2x + y = 450.

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let x represent the cost of each pizza and y represent the cost of each burger. Hence:

2x + y = 450  

The linear equation for this situation is 2x + y = 450. Its graph is attached below and was plotted using geogebra online graphing tool.

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The flip flops were on sale for a 33.33% discount.

What is a discount?

To find the percent discount on an item, we can use the formula:

Discount % = (Original price - Sale price)/Original price * 100

In this case, the original price of the flip flops is $45.00 and the sale price is $30.00. Substituting these values into the formula, we find that the discount percent is:

Discount % = ($45.00 - $30.00)/$45.00 * 100 = $15.00/$45.00 * 100 = 1/3 * 100 = 33.33%

Hence, the flip flops were on sale for a 33.33% discount.

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Answer:

\(\frac{1}{216}\)

Step-by-step explanation:

→ First calculate 6⁻³

216

→ Remember that negative indices results in the reciprocal

\(\frac{1}{216}\)

Answer:

-216

Step-by-step explanation:

6-³

=1/6³ (exponential property)

1/6×6×6

=1/216

=-216

Answer:

B. 2

Step-by-step explanation:

The answer is (c) 0.3481.

The probability density function of the waiting time is given by:

f(x) = (1/5) * e^(-x/5), for x >= 0

To find the probability that the child must wait between 4 and 6 minutes, we need to integrate the probability density function over this interval:

P(4 <= x <= 6) = ∫(4 to 6) f(x) dx

= ∫(4 to 6) (1/5) * e^(-x/5) dx

= [-e^(-x/5)] from 4 to 6

= -e^(-6/5) + e^(-4/5)

Using a calculator, we get:

P(4 <= x <= 6) ≈ 0.3481

Therefore, the answer is (c) 0.3481.

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The answer is 53 degrees

Answer:

Geography? You mean middle school math? But anyways, the measure of angle 6 is 143 degrees.

Step-by-step explanation:

So, all the angles that measure 37 degrees are 1, 4, 5, and 8. First, you know that 37 + x = 180. Now, do 180 - 37. You should get 143, you are welcome.

\(a\cdot a^2+b\cdot a+c=a^3+ab+c\)

The approximate distribution (give distribution name and parameters) of the total length will be =  450 minutes

The estimated distribution of the total length of Tina's simulation study is a triangular distribution with a base worth of 2 minutes, a greatest worth of 4 minutes, and a mode (most reasonable worth) of (2+4)/2 = 3 minutes.

Since the simulation time is generally consistently distributed somewhere in the range of 2 and 4 minutes, the total simulation time will be the sum of 150 free random variables each with a triangular distribution.

Hence, the total simulation time will also have a triangular distribution with a base worth of 2 minutes x 150 = 300 minutes, a greatest worth of 4 minutes x 150 = 600 minutes, and a method of (300+600)/2 = 450 minutes.

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The complete question is:

Tina is running a simulation study on her laptop. The duration of each simulation is roughly uniformly distributed between 2 and 4 minutes. She needs to run 150 simulations and she runs all her simulations back-to-back. - What is the approximate distribution (give distribution name and parameters) of the total length of Tina's simulation study? Explain your answer

14 people gave the modal response

In a survey, modal response is the most frequently occurring response to a question. It can be used to identify the most important issues or concerns of a population.

You will notice the key says one circle represents 4 people. So half circle represents 2 people. Thus, we can say:

Swedish = 4 + 4 + 2 = 10

German = 4 + 4 = 8

French = 4 + 4 + 4 + 2 = 14

Since French has the highest number of people (i.e. 14 people). Therefore, 14 people gave the modal response.

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There will be 12 combination of  different king-queen.

When grouping objects or figuring out how many subgroups can be created from a given collection of objects, combinations are employed. We also employ permutations to calculate the number of possible combinations of unrelated things.

To determine the number of different king-queen combinations, we need to multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king.

There are 4 candidates for queen and 3 candidates for king, so:

4 x 3 = 12

Therefore, the total number of different king-queen combinations is 4 multiplied by 3, which equals 12. So, there are 12 different king-queen combinations.

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Answer:

The second one

Step-by-step explanation:

A visual for law of sines can be found below

Sin (an angles) over its opposite side length is equal to sin ( a different angle) over its opposite side length

In the given triangle we are given side length BC and side length AB

we are also given AB's opposite angle  (40)

And we need to find side length BC's opposite angle (A)

That being said we are given enough information to set up an equation using the law of sines

Remember angle A's opposite side length is 16 and the angle that has a measure of 40 degrees' opposite side length is 12

so the equation would look like...

\(\frac{sin(40)}{12} =\frac{sin(A)}{16}\)

Based on the given axioms and purchase descriptions, the two TRUE conclusions are: B) Walt bought three watercolor paintings .... and D) Melanie bought three watercolor paintings ...

Data and Calculations:

Payments and (Purchases):

Fred = $50 (made up of one oil painting of $30 and one watercolor painting of $20)

Alicia = $50 (made up of one oil painting of $30 and one watercolor painting of $20)

Melanie = $60 (made up of three watercolor paintings of $20 each)

Walt = $60 (made up of three watercolor paintings of $20 each)

Thus, the true conclusions are statements B) and D).

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Answer:

15/40

Step-by-step explanation:

goats sold over total goats

Answer:

37.5% was sold

Answer:

r=√(3v)/(xh)

Step-by-step explanation:

the volume of a cone is given as

v= 1/3 xr^2 h. Then we need the radius, r, of the cone

v= 1/3 xr^2 h

Let us cross multiply we have

3v= xr^2h

Make r^2 subject of the formula we have

r^2= 3v/xh

Find the square root of bother sides we have

r=√(3v)/(xh)

the radius, r, of the cone can be expressed as r=√(3v)/(xh)

The maximum number of intersection points of a parabola and ellipse is 4.

A parabola and an ellipse can have a maximum 4 number of intersections.

A regular oval form produced when a cone is cut by an oblique plane that does not intersect the base, or when a point moves in a plane so that the sum of its distances from two other points remains constant.

In another word, an ellipse is a curve that becomes by a point moving in such a way that the sum of its distances from two fixed points is a closed planar curve produced.

We can make an ellipse and a parabola such that there is a maximum of four points of intersection as shown in the image.

It can be possible if the major axis is very large as compared to the minor axis.

Hence "A parabola and an ellipse can have a maximum 4 number of intersections".

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Step-by-step explanation:

Prime factors of 105 is

105 = 3 × 5 × 7

Answer:

2/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

I don't know the answer! this is hard

Step-by-step explanation:

Answer:

need help

Step-by-step explanation:

The value of the car in 8 years after it has depreciated is $8,348.

To find the value of the car in 8 years, we can use the formula for the future value of a depreciating asset:

future value = original value * (1 - rate of depreciation)^number of years

In this case, the original value is $18,000, the rate of depreciation is 12% per year (or 0.12), and the number of years is 8. Plugging these values into the formula, we get:

future value = 18,000 * (1 - 0.12)^8

future value = 18,000 * 0.4630

future value = $8,348

So the value of the car in 8 years is $8,348.

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Answer:

One pound of beef is $3.2

Step-by-step explanation:

14.40 / 4.5

= 3.2

CHECK:

3.2 * 4.5

=14.40

Answer:

Step-by-step explanation:

The unit rate for this beef is:

$14.40

---------- = $3.20/lb

4.5 lb

Answer:

3.46 but if you simplify it is 3.5

Step-by-step explanation:

Answer:

3.46410161514

Step-by-step explanation:

Answer: 6:4

Step-by-step explanation: If there is 6 stars and 4 hearts, it will be 6:4

Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.

With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.

As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:

z = (1.5 - 1) / 0.2 = 2.5

We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.

Therefore, the correct answer is option d. Yes. Clear my choice.

The complete question is;

American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:

a. No, because the population distribution is skewed.

b. No, because the sample size is less than 30.

c. No, because the empirical rule is violated.

d. Yes. Clear my choice

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A list of steps, in order, that will solve the following equation include the following:

In order to create a list of steps and determine the solution to the equation, we would have to add 5 to both sides and divide both sides by 2 in order to open the parenthesis as follows;

2(x + 3) – 5 = 123

2(x + 3) – 5 + 5 = 123 + 5

2(x + 3) = 128

By dividing both sides of the equation by 2, we have the following:

2(x + 3)/2 = 128/2

x + 3 = 64

By subtracting 3 from both sides of the equation, we have the following:

x + 3 - 3 = 64 - 3

x = 61

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The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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