How many solutions exist for the given equation?
1/2(x + 12) = 4x – 1
1.zero
2.one
3. two
4. infinitely many

Answer:

a=2, b=-20

Step-by-step explanation:

4(2xsquared -5x+3)= 8xsquared -20x +12

Answer:

(7,3)

Step-by-step explanation:

Given,7 units away from x axis and 3 units away from y axis,

Coordinates are written in (x,y) form

(x,y)=(7,3)(Given)

Answer:

A

Step-by-step explanation:

7 units away from the origin in the direction of the x-axis

So it can be (7, ?) or (-7, ?)

3 units away in the direction of the y-axis

So it can be (7, 3) or (-7, -3) or other things

Remember: (X, Y)

A is (7,3) which is a possible based on this

B would not work based on this

C would not work either

D wouldn't too

Answer:

The standard deviation of the sample is 2.55 gigabytes

Step-by-step explanation:

Here we have the responses as follows;

Storage space usage on their computer [tex]x_i[/tex]

The number of respondents or sample size, n = 5

        [tex]x_i[/tex]            [tex](x_i - \bar x)[/tex]         [tex](x_i - \bar x)^{2}[/tex]

        4                -4                 16

        8                 0                  0

        8                 0                  0

        9                 1                   1

        11                 3                  9

∑      40                                   26

The sum = ∑X = 4 + 8 + 8 + 9 + 11 = 40

The mean  = (The sum)/(The count) = 40/5 = 8

Formula for population standard deviation is;

[tex]\sigma = \sqrt{\frac{\Sigma (x_i - \mu)^2}{n } }[/tex]

Where:

σ = Population standard deviation

μ = Population mean

Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample therefore;

The formula for sample standard deviation is;

[tex]s = \sqrt{\frac{\Sigma (x_i - \bar x)^2}{n - 1} }[/tex]

Where:

s = Sample standard deviation

n = Sample size

[tex]x_i[/tex] = Each value of the sample

[tex]\bar x[/tex] = Sample mean

We find each value of [tex](x_i - \bar x)[/tex] by subtracting the x values from the mean, 8, as in the table above, next we find [tex](x_i - \bar x)^{2}[/tex] by squaring the [tex](x_i - \bar x)[/tex].

Next, we find the sum of the differences from the mean square values from the table after which we divide by n - 1, to get [tex]{\frac{\Sigma (x_i - \bar x)^2}{n - 1} } = \frac{26}{5 - 1} = \frac{26}{4} = 6.5[/tex]

We find the root of the result which gives us the standard deviation hence

√6.5 = 2.5495.

Standard deviation, s = 2.5495 ≈ 2.55 to two significant places of decimal.

After making a table for summation the standard deviation of the sample is 2.55 gigabytes.

Use the formula for population standard deviation is:

[tex]\sqrt{\dfrac{\sum{(x_i - \mu)^2}}{n}[/tex]

Where:

σ = Population standard deviation

μ = Population mean

The formula for sample standard deviation is;

[tex]\sqrt{\dfrac{\sum{(x_i - X)^2}}{n-1}[/tex]

Where:

s = Sample standard deviation

n = Sample size

[tex]x_i[/tex] = Each value of the sample

X = Sample mean

Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample, therefore;

The storage used is represented by [tex]x_i[/tex]

The number of respondents or sample size represented by n

Then n = 5

The table for summation is attached below.

Find the sum of the differences from the mean square values from the table after which we divide by n - 1,

[tex]\dfrac{\sum{(x_i - X)^2}}{n-1} = \dfrac{26}{5-1}\\\\\dfrac{\sum{(x_i - X)^2}}{n-1} =6.5[/tex]

Find the root of the result which gives us the standard deviation hence

√6.5 = 2.5495.

Hence,

Standard deviation,

s ≈ 2.55 about two significant places of decimal.

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Answer:

umm whats the question?

Step-by-step explanation:

Answer: [tex]\frac{3}{4} x^4y^3[/tex]

Answer:

[tex]3x^4-7x^3+x^2+2x+11[/tex]

Step-by-step explanation:

[tex]3x^2(x^2 - 4x - 2) + (5x^3 + 7x^2 + 2x + 11)[/tex]

First, I will expand the expression [tex]3x^2(x^2 - 4x - 2)[/tex]

[tex]3x^2(x^2 - 4x - 2) \\3x^4-12x^3-6x^2[/tex]

So, we got

[tex]3x^4-12x^3-6x^2+ 5x^3 + 7x^2 + 2x + 11[/tex]

Adding similar elements, we get:

[tex]3x^4-7x^3+x^2+2x+11[/tex]

Answer:

Infinite

Step-by-step explanation:

There can be infinite triangles with those angle measurements as long as they are similar triangles.  This means that the sides are proportional.

Answer:

3 years

Step-by-step explanation:

Answer:i think a or c

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Lets choose america and lets say there are 100 people in america then 25 I think tell me if it helped

Answer:

I 7AM I you have the same problem as the one that was the same as a good friend and a friend

Answer:

x = 3

Step-by-step explanation:

[tex] \frac{24}{32} = \frac{9x - 9}{6x + 6} \\ \frac{3}{4} = \frac{3(3x - 3)}{3(2x + 2)} \\ \frac{3}{4} = \frac{(3x - 3)}{(2x + 2)} \\ 4(3x - 3) = 3(2x + 2) \\ 12x - 12 = 6x + 6 \\ 12x - 6x = 6 + 12 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3[/tex]

Answer: The correct answer is C.35.

Step-by-step explanation:

70÷2=35

The value of the measure of XBA is,

⇒ 35 degree

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Here, ray BA bisects XBY which measures 70 degrees

Hence, The value of the measure of XBA is half of the measure of XBY.

So, We get;

the measure of XBA is,

⇒ 70 / 2

⇒ 35 degree

Thus, The value of the measure of XBA is,

⇒ 35 degree

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Answer

13

Step-by-step explanation:

4(3)+1

12+1=13

Answer:

12

Step-by-step explanation:

(66 2/3)

---------- (x) = 8

  100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

Answer:

-4 degrees

Step-by-step explanation:

Starting at 2 degrees, you need to subract 6 since 200 km= 6 degrees and it decreases.

The temperature after 200 km of the polar bear's journey is -4° C.

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The daily average temperature decreases 3°C for every 100 km traveled

At the start of the bear's journey, the temperature is 2°C

The total distance traveled by the polar bear = 200 km

For 200 km, [tex](3+3)[/tex] totally 6° C should get decreased.

⇒ [tex](2-6)[/tex]

⇒ [tex]-4[/tex]

Hence we can conclude that the temperature after 200 km of the polar bear's journey is -4° C.

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Answer:

y=9x+5

Step-by-step explanation:

y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

Given that m (the slope) = 9 and b (the y-intercept) = 5, we can substitute directly into the equation and get this answer:

y=9x+5

Final answer:

To find the number of different ways for the four friends to choose who cooks and who cleans, one can use combinators to calculate that there are 6 different combinations.

Explanation:

The student asked, "My three friends and I have dinner together every weekend. Each weekend, two of us cook and the other two clean up afterwards. How many different ways are there for us to choose who cooks and who cleans?" To solve this, we can use combinatorics, which is a branch of mathematics dealing with combinations of objects belonging to a finite set in accordance with certain constraints.

There are four friends, so we want to know in how many ways we can select two of them to cook. The number of ways to choose the two people who will cook can be calculated using the formula for combinations, which is C(n, k) = n! / (k! * (n-k)!), where n is the total number of items, and k is the number of items to choose.

Here, n would be 4 (since there are four friends), and we want to choose 2 (the number of friends who will cook), so we get C(4, 2) = 4! / (2! * (4-2)!) = (4 * 3) / (2 * 1) = 6 ways to choose cooks. The other two automatically become the cleaners. So, there are 6 different ways for the four friends to choose who cooks and who cleans.

Answer:

72 meters squared

Step-by-step explanation:

ABC or FED

(4 x 6)/2

18

FED + ACDF + ABC

18 + 36 + 18

A = 72

AnsweR: I did the hw and got the answers right here,

It is the sum of the shape’s volumes.

The volume in terms of pi is the exact volume.

Using the calculator to multiply by pi provides the approximate volume.

Step-by-step explanation:

The correct answer is :

The volume of the composite solid is simply the sum of the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'.

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Look at the attached picture

Hope it will be helpful to you

Answer:

The set (39, 80, 89) can be used to make a right triangle. Thus, option D is correct.

Explanation:

We know that right-angle triangles obey the Pythagoras theorem, i.e.,

a² + b² = c²

Let's check for each set:

(39, 41, 45): 39² + 41² ≠ 45²

(39, 49, 59): 39² + 49² ≠ 59²

(39, 69, 99): 39² + 69² ≠ 99²

(39, 80, 89): 39² + 80² = 89²

1st page : 16 , 32 , 7

2nd page : (Going down) 8 , 4 , 2 , 15 , 3 , 35 , 12 , 1 , 105 , 25 , 21 , 90

Plz correct me if I'm wrong

Answer: [tex]x = 11[/tex]

Solving for variable x

Move all terms containing x to the left, all other terms to the right

Add -2x to each side of the equation

[tex]-61 + 3x + -2x = -50 + 2x + -2x[/tex]

Combine like terms: 3x + -2x = 1x

[tex]-61 + 1x = -50 + 2x + -2x[/tex]

Combine like terms: 2x + -2x = 0

[tex]-61 + 1x = -50 + 0\\-61 + 1x = -50[/tex]

Add 61 to each side of the equation.

[tex]-61 + 61 + 1x = -50 + 61[/tex]

Combine like terms: -61 + 61 = 0

[tex]0 + 1x = -50 + 61\\1x = -50 + 61[/tex]

Combine like terms: -50 + 61 = 11

[tex]1x = 11[/tex]

Divide each side by 1

[tex]1x/1=11/1\\x=11[/tex]

Answer:

No, because for the 12 months in the year each date is not equally likely.

Step-by-step explanation:

Not all months have 31 days, meaning that numbers as high as 31 will not be as common.

The proposed simulation overlooking the fact that not all months have 31 days, results in a bias for the dates 29th, 30th, and 31st. Therefore, it wouldn't represent the actual survey accurately.

The simulation proposed would not provide a fair representation of an actual survey of 100 people for their birth dates. This is rooted in the fact that not all months have 31 days. The assumption of the simulation means that the dates from 1 through 31 have an equal likelihood of being selected, ignoring the fact that in reality, dates like the 30th and 31st may not be possible for all months. An accurate simulation would require consideration for these variations, meaning dates 1 through 28 should be uniformly represented, with the 29th, 30th, and 31st having conditional probabilities based on the month.

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Answer:

Machine's useful number of years = 9 years

Step-by-step explanation:

Using the straight line method, depreciation is calculated as the difference between the cost of the equipment minus the salvage value, all divided by the number of useful years.

Yearly Depreciation

= (Cost - Salvage value) ÷ (Number of useful years)

Yearly depreciation = P20,000

Cost = P200,000

Salvage Value = P20,000

Number of useful years = n

20000 = (200000 - 20000) ÷ n

20000 = (180000/n)

n = (180000/20000) = 9 years

Hope this Helps!!!

Answer: It is B

Step-by-step explanation: this is it because a linear line has a point 0,0 and B is the only one who does have that point.

Answer:

multiply: Length x Width x Height

Step-by-step explanation: