Practice Exercise 3.1 Fill in the blanks: (i) The factors of 12 are (ii) The least non-zero multiples of any number is (iii) ......... is a factor of every number. ing with Numbers​

Answer:

30.10

Step-by-step explanation:

First find the amount of tax

28 * 7.5%

28 * .075

2.10

Add this to the price of the pants

28+2.10 =30.10

Answer:

use m a t h w a y

Step-by-step explanation:

Answer:

Step-by-step explanation:

favorable events for a sum of 3 are 12,21

P(sum 3)=2/36=1/18

favorable events for a sum of 9 are 36,63,45,54

P(sum of 9)=9/36=1/4

Answer:

[tex]-6y^{2}+8y^{3}-4y^{2}+y-10y^{3}\\\\=(-6-4)y^{2}+(8-10)y^{3}+y\\\\=-2y^{3}-10y^{2}+y\\\\=y(-2y^{2}-10y+1)[/tex]

Answer:

120 ways

..................

Answer:

24

Step-by-step explanation:

4  friends

1st seat: 4 different people could sit here

Now there are 3 friends left

2nd seat: 3 different people could sit here

Now there are 2 friends left

3rd seat: 2 different people could sit here

Now there are 1 friends left

4th seat: 1 different people could sit here

4*3*2*1

24 ways

Explanation:

Let [tex]f(x) = \sqrt{25x}[/tex] and [tex]g(x) = \frac{x^2}{25}[/tex]. The differential volume dV of the cylindrical shells is given by

[tex]dV = 2\pi x[f(x) - g(x)]dx[/tex]

Integrating this expression, we get

[tex]\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx[/tex]

To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

[tex]\sqrt{25x} = \dfrac{x^2}{25}[/tex]

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

[tex]25x = \dfrac{x^4}{(25)^2} \Rightarrow \dfrac{x^3}{(25)^3} = 1[/tex]

or

[tex]x^3 =(25)^3 \Rightarrow x = \pm25[/tex]

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is

[tex]\displaystyle V = 2\pi\int_0^{25}{x\left(\sqrt{25x} - \frac{x^2}{25}\right)}dx[/tex]

[tex]\displaystyle\:\:\:\:=10\pi\int_0^{25}{x^{3/2}}dx - \frac{2\pi}{25}\int_0^{25}{x^3}dx[/tex]

[tex]\:\:\:\:=\left(4\pi x^{5/2} - \dfrac{\pi}{50}x^4\right)_0^{25}[/tex]

[tex]\:\:\:\:=4\pi(3125) - \pi(7812.5) = 14726.2[/tex]

Answer:

136 cm2

Step-by-step explanation:

6*2=12    12*2=24

6*7=42   42*2=84

7*2=14    14*2=28

Add.

24+84+28=136

I hope this helps!

Answer:

the area of the square on the hypotenuse is equal to the sum of the areas of squares of perpendicular and base".

ABC is a right angle

Third angle 45°

Its a isoceles Right Triangle because base angles are equal then two sides are also equal.

Must click thanks and mark brainliest

Answer:250

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

B isn't a geometric sequence as it's last term doesn't follow the rule

C is an arithmetic sequence

D is an arithmetic sequence too

Answer:50

Step-by-step explanation:(40x100):80

Answer: 50 workers

Let the ratio be

(40×100):80

= 400/80

= 50

Therefore 50 workers will complete the same work in 80 hours.

Must click thanks and mark brainliest

Answer:

the answer to the question is a:-3

9514 1404 393

Answer:

Step-by-step explanation:

The factor 10^-6 can be brought out:

  ((5.5 +6.3)×10^-6)^2 = (11.8^2)×10^-12 = 1.3924×10^-10

Often, a problem like this wants you to round to a precision appropriate to the given values. Here, that is 2 significant figures:

  ≈ 1.4×10^-10

_____

Additional comment

Your scientific or graphing calculator can do this nicely, even showing you the result in scientific notation. A spreadsheet can do the same.

The usual rules of exponents apply.

  (a^b)(a^c) = a^(b+c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

Answer:

B. domain {-2, 0, 2}, range {-1, 0, 1}

Step-by-step explanation:

The x values and y values as ordered pairs would be: (-2,-1), (0,0), (2,1)

The domain is the all of the values of x and the range is all the values of y.

Answer:

23456789990000000000000000000

9514 1404 393

Answer:

  4.8 years

Step-by-step explanation:

Solving the compound interest formula for the number of years gives ...

  t = log(A/P)/(n·log(1 +r/n))

where principal P invested at rate r compounded n times per year produces value A after t years.

  t = log(24805/22000)/(365·log(1 +0.025/365)) ≈ 4.800

The loan was for 4.8 years.

Answer:

1.24

Step-by-step explanation:

oahsofhasdf0as0dfadera

Answer:

The correct choice is option D. -1

Step-by-step explanation:

Find f(x) = - 3 on the table. When y = -3, what is the x value? Look on the right side, you can see it's -1, correct? So, f(x) = - 3 when x = - 1.

Answer:

N = x2

Step-by-step explanation:

Follpwing the format

Answer:

x^2 - 7x - 30 = 0

Step-by-step explanation:

since solutions are 10 and -3

a factorised quad eqn can be formed:

(x-10)(x+3)=0

expand the eqn

x^2-7x-30 = 0 is the answer

Answer:

98.88

Step-by-step explanation:

Given: They cheered 12 rounds. Each round = 8.24

To find the total number, multiply how much one round is with the total number of rounds.

  8.24

×     12

-----------

  1648

+ 8240

----------

98.88

Each girl cheered 98.88 minutes. If you need this estimated, the answer would be 99 minutes.

Answer:

Absolute = 13-7 = 6

if you mean relative change then it would be the multiplier of 13 / 7 = 1.85714286

as;  7 x 1.85714286 = 13

Step-by-step explanation:

The absolute change is 6 and relative change is 1.85

The size of the discrepancy between the exact value and the approximation is known as the absolute error. The absolute error is multiplied by the exact value's magnitude to get the relative error.

Given

Absolute = 13-7 = 6

if you mean relative change then it would be the multiplier of 13 / 7 = 1.85714286

as;  7 x 1.85714286 = 13

To learn more about the absolute and relative errors refer to:

https://brainly.com/question/26167540

#SPJ2

Answer:

(9,-2)

Step-by-step explanation:

5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them.  Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)

Answer:

[19 -1 25 3.25]

Step-by-step explanation:

just take the elements from the resultant matrix and divide it by the corresponding elements in the given matrix to find the matrix that's being asked.

Step-by-step explanation:

I am not sure but is this question like this

if it's not i am sorry

Answer:

answer must be 0.5:

Step-by-step explanation:

by simplify formula BODMAS

Answer: 22

Step-by-step explanation:

−2−(3)(−2)(4)

=22