A:180
B:30
C:170
D:25

Answer:

Step-by-step explanation:

I think this is the simplest form.

Answer: the answer is c I think

Answer:

120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written 120 = 2³ x 3 x 5.

Step-by-step explanation:

After combine they hold 115.84 ounces.

A process of combining or adding two or more numbers is called addition.

We have to given that;

One bottle holds 67.34 ounces and another bottle holds 48.5 ounces.

So, After combine, we get;

Both bottle hold = 67.34 ounces + 48.5 ounces

                         = 115.84 ounces

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The 80% confidence interval for the true mean price of the particular model of digital camera is approximately (203.3, 229.5) dollars.

We have,

The prices we found were: 249, 245, 214, 201, 221, 180, 200, 187, 265, and 222 dollars.

Using this data, we can calculate a range called a confidence interval. This interval helps us estimate the true average price of the camera model with a certain level of confidence.

In this case, we want to estimate the mean price with 80% confidence.

After performing the necessary calculations, we find that the average price is estimated to be around $216.4.

The confidence interval for the true average price is approximately $203.3 to $229.5.

In simpler terms, we are 80% confident that the true average price of this digital camera model is between $203.3 and $229.5, based on the data we collected from online retailers.

Therefore,

The 80% confidence interval for the true mean price of the particular model of digital camera is approximately (203.3, 229.5) dollars.

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Answer:

Discriminant is 0, 1 real solution

Step-by-step explanation:

Set the equation in form of \(\displaystyle \large{ax^2+bx+c=0}\):

\(\displaystyle \large{x^2+4x+1+3=0}\\\\\displaystyle \large{x^2+4x+4=0}\)

Apply discriminant formula which is \(\displaystyle \large{b^2-4ac}\):

\(\displaystyle \large{D=4^2-4(1)(4)}\\\\\displaystyle \large{D=16-16}\\\\\displaystyle \large{D=0}\)

Therefore, the discriminant is 0. Since D = 0, it’s defined that there are only 1 real solution.

Answer:

6 possible outcomes

Step-by-step explanation:

To solve this problem, we have to make use of the Fundamental Counting Principle formula.

The formula counting principle states that when we are given two or more distinct events, in order to get the total number of possible outcomes, we multiply such events together.

In the above question, we are given two events.

Event 1

3 varieties of cheese: Cheddar, Gouda, and Swiss.

Event 2

2 styles of cheese: Shredded and Sliced

The possible outcomes for the variety and style of cheese = Event 1 × Event 2

= 3 × 2

6 possible outcomes.

These 6 Possible outcomes are listed below:

1) Cheddar cheese , Shredded

2) Cheddar cheese , Sliced

3) Gouda cheese , Shredded

4) Gouda cheese , Sliced

5) Swiss cheese , Shredded

6) Swiss cheese , Sliced

Answer:

y = -3

Step-by-step explanation:

Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3

Answer:

The equation has one solution at which y = -3.

Step-by-step explanation:

To find the value of y, we need to isolate it from the rest of the equation.

\(\displaystyle{-3y-2=7}\\\\-3y = 9\\\\\bold{y = -3}\)

We can check to make sure that y = -3 by substitution.

\(\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark\)

Because we got a true statement, we can determine that y = -3.

Answer:

1647

Step-by-step explanation:

Given the following information:

Length of traffic = 8 miles

Average Length of vehicles on the road :

Cars = 14.5 feets

Trucks = 21 feets

18 Wheeler tractor = 73 Feets

% distribution of the different vehicles :

Cars = 70% = 0.7

Trucks = 20% = 0.2

18 wheeler tractor = 10% = 0.1

Distance between vehicles = 4feets

Number of vehicles stuck in the traffic :

Let number of vehicles = v

Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic

Total distance between each vehicle = 4(v-1)

(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles

1 mile = 5280

8 miles = (5280 * 8) = 42,240

10.15v + 4.2v + 7.3v + 4v - 4 = 42240

25.65v = 42240 + 4

25.65v = 42244

v =42244 / 25.65

v = 1646.939

v = 1647.

Answer:

-1/2

Step-by-step explanation:

i hope it helps :)

Answer:

the y intercept of y=-x+9 is 9

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Answer:

A. You need to draw a straight line that increases from left to right. Try and get the same amount of plots on the top and bottom of the line and go through one or two of the plots. Don't connect the dots, though.

B. This scatter plot demonstrates a positive association between a person's height and weight because the trendline increases from left to right. According to this data, as weight increases, so does height. The more someone weighs, the more likely they are to be tall.

Answer:2x - 5cm + 3x +2cm + 2x - 1cm=59cm

2x + 3x + 2x + 2cm + 1cm - 5cm=59cm

7x - 2cm=59cm

7x - 2cm + 2cm=59cm + 2cm

7x=61cm

X=8 5/7cm

Step-by-step explanation:

The length of the sides of the triangle will be equal to 13 cm, 29 cm, and 17 cm.

A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any geometric two-dimensional shape. The circumference of several figures could be compared based on the measurements.

As per the given information in the question,

The perimeter of the triangle = 59 cm

Use the formula of the perimeter of a triangle,

P = a + b + c

59 = 2x - 5 + 3x + 2 + 2x - 1

59 = 7x - 4

7x = 59 + 4

7x = 63

x = 9

Then, the lengths of the side will be,

2x - 5 = 2(9) - 5 = 13 cm

3x + 2 = 3(9) + 2 = 29 cm and,

2x - 1 = 2(9) - 1 = 17 cm

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Answer:

x-3/x+4 ÷ x^2-1/x  ; x ≠ -4, 0

Step-by-step explanation:

x-3/x+4 ÷ x^2-1/x --> x ≠ -4, 0 (because the denominators would be 0 if x = -4 or 0)-->

(x-3)/(x-4) * x/(x^2-1) -->

((x-3)(x))/((x-4)(x-1)(x+1))-->

No way to simplify it further-->

x-3/x+4 ÷ x^2-1/x

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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Answer: A

Step-by-step explanation:

3/5 = 60%

A, Rosa has 7/12 which is about 58%

B, Rosa has 6/12, which is 50%

C, Rosa has 9/12 which is 75%

D, Rosa has 8/12 which is 66%

A would be the closest.

These work out to 60,466,176 case insensitive combinations of letters.

There are 10 digits 0–9.

The are 26 letters in the modern alphabets.

However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.

There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.

You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.

Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.

So, there are either 36 (10 digits and 26 letters).

To find the number of combinations you multiply the number of possibilities for each character;

36 x 36 x 36 x 36 x 36

These work out to 60,466,176 case insensitive combinations of letters.

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Step-by-step explanation:

a/q

three times a number = 3x

so,

3x - 2 = 10

so,

3x = 10 + 2

x = 12/3 = 4

x = 4

hope this answer helps you dear....take care and may u have a great day ahead!

Answer:

4

Step-by-step explanation:

3x - 2 = 10

3x = 12

x = 12/3

x = 4

a. The function to represent the situation y = 420x.

b. The store charge for each tablet to maximize its profit is $408

c. The  domain is [0, ∞) and the range is [0, ∞).

Function:

Basically, the term function means the relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given,

Last year, an office supply store sold 220 computer tablets for $420 each. This year its manager is considering reducing the price to increase sales. She estimates that for each $12 decrease in price, the store will sell 20 additional tablets.

Here we need to find the following:

a. The function to represent the situation

b. The store charge for each tablet to maximize its profit

c. The domain and range

While we looking into the given question as have identified that,

Price of each tablet = $420

Number of tablet sold = 220

Let us consider x be the number of tablet sold and y be the total amount.

So, the function that is used to calculate the sold tablet numbers is written as,

=> y = 420x

Here the store charge for each tablet to maximize its profit is $12.

So, the current price for the tablet is $408.

Here the domain is [0, ∞) and the range is [0, ∞).

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The probability that a randomly selected airfare between these two cities will be more than $450 is 0.2033.

Given:

Mean (μ) = $387.20

Standard deviation (σ) = $68.50

To find the probability that a randomly selected airfare between Philadelphia and Los Angeles will be more than $450,

calculate the area under the normal distribution curve above the value of $450.

Step 1: Standardize the value of $450.

To standardize the value, we calculate the z-score using the formula:

z = (X - μ) / σ

z = ($450 - $387.20) / $68.50

z= 0.916

So, the area to the right of the z-score approximately equals 0.2033.

Therefore, the probability that a randomly selected airfare between these two cities will be more than $450 is 0.2033.

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The question attached here seems to be incomplete, the complete question is:

Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be more than $450?

0.0788

0.1796

0.2033

0.3669

Answer:

solution here,

x+3x+80=180degree

4x+80=180

4x=180-80

x=100÷4

therefore

x=25

Answer:

Both lights would flash together after every 30 seconds.

Step-by-step explanation:

6 = 2 * 3 and 10 = 2 * 5.

LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.

Therefore, both lights wold flash together after every 30 seconds.

Answer:

every 30 seconds.

Step-by-step explanation:

I'm a banana

I'm a banana

I'm a banana

Look at me move, yeah yeah

I'm a banana

I'm a banana

I'm a banana

Look at me move, ah

Banana power

Banana power

Banana power

Power

Banana power

Banana power

Banana power

Look at me move

Uh oh banana time

Uh oh banana time

Uh oh banana time

Stop

Stop

Stop

Carts, farts, marts, darts

Hearts, starts, carts, marts

Carts, marts, darts, farts

Darts, starts, hearts, ah

Chicken, chicken, chicken

I am

Chicken, chicken

Chicken

Stop

Look at me

Look at me move

I'm a banana

I'm a banana

I'm a banana

yes

Answer:  The population is all US workers. The sample is adults who respond to the survey.

Step-by-step explanation: The population is the intended group that the question is about, all U.S. workers.

The sample is a small portion if that group, as it would be practically impossible to get data from everyone,

This sample is the adults who responded to this sutvey.

The sample might not be an accurate cross section of all workers, depending on how the website ensures that it includes appropriate segments of urban, suburban, and rural dwellers, from various regions of the country, and from different economic groups.

Answer:

\( \frac{1}{8} \)

Step-by-step explanation:

it's so simple dude

Answer:

50

Step-by-step explanation:

The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,

\(-5x^3 +4x^2- 5x\)

This resultant expression is polynomial.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The given expression in the problem is,

\((3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).\)

Let the resultant polynomial of the above expression is f(x). Therefore,

\(f(x)=(3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).\)

To solve the above polynomial, open the bracket by multiplying the sign with inside values as,

\(3x^3 +2x^2 - 5x - 8x^3 +2x^2\)

Separate the same power terms of the variables as,

\(f(x)=3x^3- 8x^3 +2x^2 +2x^2- 5x\\f(x)=-5x^3 +4x^2- 5x\)

The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,

\(-5x^3 +4x^2- 5x\)

This resultant expression is polynomial.

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The two equations that describe the time x, when 405 cells would be expected are:

To solve for x in the first equation, we can divide both sides by 5 to get:

3^x = 81

Then, we can take the log base 3 of both sides to get:

x = log3(81)

x = 4

To solve for x in the second equation, we can use the properties of logarithms to simplify:

log3(405/5) = log3(81)

x = log3(81)

x = 4

Both equations give us the same answer of x = 4, which means that after 4 hours, there would be 405 cells on the plate if the cell growth is exponential.

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The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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