Which 2 subjects are 2 unit apart

Answer:

If 10 men dig a ditch in 12 days .

Total man-days required to dig the ditch

= 10 men × 12 days

= 120 man-days

how long would 15 men take to dig it?

No of days required to finish the job by 15 men

= 120 men-days / 15 men

= 8 days

Answer: 8 days will be required to finish the job by 15 men

Step-by-step explanation:

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Answer:

21

Step-by-step explanation:

Answer:

-7 (Not here)

Step-by-step explanation:

1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14

2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

9514 1404 393

Answer:

  170 mph

Step-by-step explanation:

The speed of the airplane can be represented by s. The travel time will be ...

  time = distance/speed

  925/(s +15) = 775/(s -15)

  925(s -15) = 775(s +15)

  150s = 25500 . . . . . . . . . add 13875-775s

  s = 170

The rate of the plane in still air is 170 mph.

Answer:

Choice D. [tex]y = 0.75\, x + 5[/tex].

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:

Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:

Calculate the slope of this line:

[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].

The equation of the line becomes:

[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].

Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:

The equation becomes:

[tex]-4 = 0.75 \times (-12) + b[/tex].

Solve for the value of [tex]b[/tex]:

[tex]b = 5[/tex].

Hence, the slope-intercept form of this line shall be:

[tex]y = 0.75\, x + 5[/tex].

Answer:

1.41

Step-by-step explanation:

Answer:

1/144

Step-by-step explanation:

You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive

Answer:

7 + 9x

Step-by-step explanation:

add 5 and 2 and 9x doesn't have a like term so it stays the same

Answer:

9x + 7

Step-by-step explanation:

Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.

1. 59049

2. a^12

3. 8a^6

4. 16a^ 10 b^6

5. 9a^4

6. s^6 t^12

7.  s^5 / t^5

8. 6561

9.  s^2 t^8 / r^2

10.  81a^2 b^6

Answer: 15 dollars

Step-by-step explanation:

0.3 * 50

Answer:

A new substance with new and different physical and chemical properties.

Step-by-step explanation:

Chemical reactions involve combining different substances. The chemical reaction produces a new substance with new and different physical and chemical properties. Matter is never destroyed or created in chemical reactions. The particles of one substance are rearranged to form a new substance.

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Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

9514 1404 393

Answer:

  y = 2x - 4

Step-by-step explanation:

You want an equation with an x-coefficient that is not 1/2.

  2/4 = 0.5 = 1/2

so, the first three answer choices don't meet problem requirements.

The line with equation ...

  y = 2x -4

is not parallel to y = 1/2x -6.

Answer:

c

Step-by-step explanation:

y = mx + b

”m” is the slope, so the slope is -2

”b” is the y - intercept, so the y - intercept is (0 , 1)

Answer:

-7(1/7) = -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

9kg

Answer:

the answer is 4800

Answer:

What is mental math?

Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?

It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.

Is mental math useful?

Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.

Step-by-step explanation:

Answer:

i didn't understand in third line mate

Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

znznzmzspmzlsldfpcf

Answer:

53.32114

Step-by-step explanation:

;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-;

......................;-;

Answer:

A

Step-by-step explanation:

By solving (x+6)(x-9), we get x^2 - 3x - 54. By looking at our y-intercept, we can see that only option A has the correct intercept.

Answer:

A

Step-by-step explanation:

Answer:

3.457 is already in standard form.

Step-by-step explanation:

Answer:

124.35 X 6.75

Step-by-step explanation:

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

What is percentage?

The percentage is the value per hundredth.

It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.

The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

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Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Answer: Each towel costs $1.90

Step-by-step explanation:

$15.20 divided by 8 = $1.90