What is the idea of factoring by grouping?

Answer:

see below

Step-by-step explanation:

just reduce to 3 digits before the decimal place and count how many are behind the decimal for what power the 10 is, not including numbers that were already behind the decimal

a. 107.92*10^2

b. 376.932*10^0

c. 998.461*10^3

Answer:

When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.

Step-by-step explanation:

(a) 10792 ≈ 10800

(b) 376.932 ≈ 377

(c) 998461 ≈ 998000

Answer:

1 ream = (3x - 4) pesos

Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos

Solution:(pic1)

number of reams 3x-4

By using synthetic division,

3x-4=0

3x=4

x=4/3

6 -17 24 -34 24 | 4/3

8-12 16-24

6 -9 12-18 0

Final equation is:(pic2)

Answer:

b)

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

there are 16 increments in total, and half are labeled

so the answer is -7 because if the increments are 1 and it is left of zero, so do 7*-1 because it is to the left

Answer:

-7

Step-by-step explanation:

Answer:

57p

Step-by-step explanation:

so 1 pound is just 1.00 so

1.00-0.43=0.57

so terry will get 57p change

Answer:

0.55%

Step-by-step explanation:

230÷100=2.30%

175÷100=1.75%

2.30-1.75=0.55%

I think ‍♂️

Answer:

Answer: The fractions equivalent to 2/5 are 4/10, 6/15, 8/20, etc.

Step-by-step explanation:

smallest value 30° largest value 150°.

Answer:

30, 150

Step-by-step explanation:

sin θ = 1 / 2

sin 30 = 1 / 2

θ = 30

So,

the smallest value of θ is 30.

sin ( 180 - 30 ) = sin 150 = 1 / 2

So,

the larger value of θ = 150.

[tex]\\ \sf\longmapsto XY=\sqrt{x^2+y^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+2^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+4}[/tex]

[tex]\\ \sf\longmapsto XY=2+a[/tex]

Answer:

5:3=8

3/8 x 120

3/1 x 15

3 x 15=45

Step-by-step explanation:

hope this helps

sorry

Answer:

161 Remainder 4

Step-by-step explanation:

trust me on this

Answer:

_

161.2 BUT if with remainder it is 161 with a remainder of 4

Step-by-step explanation:

By the way the 2 is a repeating number so make sure to add that line at the top.

Answer:

1.22

Step-by-step explanation:

Answer:

1. 2/5, 2. -1. 3. 5/2, 4. 1, 5. 1/5, 6. -4/3, 7. 1/3, 8. -1/10

Step-by-step explanation:

1-3: the formula for slope is (y2 - y1)/(x2 - x1) for points (x1, y1) and (x2, y2)

1. we have points (-2, -1) and (3,1) ,plug these into the formula to get (1-(-1))/(3-(-2)) = (1+1)/(3+2) = 2/5 so the slope is 2/5

2. we have points (-3, 2) and (2, -3): (-3-2)/(2-(-3)) = -5/5 = -1

3. (-1, -2) (1,3): (3-(-2))/(1-(-1)) = 5/2

4-6: you can use the same formula

4: (1,0) (3,2): (2-0)/(3-1) = 2/2 = 1

5. (8,0) ( 13, 1) (1-0)/(13-8) = 1/5

6. (2, -1) ( 5, -5) (-5+1)/(5-2) = -4/3

7-8: slope= rise/run

7. rise=8, run=24, 8/24=1/3

8. rise=-100, run=1000, slope= -100/1000 = -1/10

Answer:

9/100

Step-by-step explanation:

9×100 = 9/100 I think

Answer:

A

Step-by-step explanation:

using pythagoras theorem

h²=p²+b²

Answer:

Angle bisectors, Perpendicular bisectors, and Circumcenters

Answer:

64 by 16 feet

Answer:

left 2 units, up 3 units

Step-by-step explanation:

(x-2, y+3)

-2 means 2 to the left

+3 means 3 up

So it would be left 2 units, up 3 units.

Answer:

Step-by-step explanation:

Rule:

If  x+b   right in b units

if  x-b    left   in b untits

if  y+b    up   in  b units

if  y-b  down in  b  units

You don 't have to use this rule if you know that on the Ox axis the line goes horizontally (the abscissa axis); And on the Oy axis vertically (the ordinate axis)

Then :

x-2    left in 2 units

y+3   up  in  3 units

Answer:

what is the radius of 2

Step-by-step explanation:

Answer:

Should be

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Using the formula a^2+b^2=c^2, take the square of 6 (6x6=36) and 8 (8x8=64) and add them together to get the square of 10 (10x10=100) 64+36 does equal 100. Remember that the biggest number is c and the two sides a and b have to add to get c.

Answer:

look at the picture i have sent

Answer:

c. 60 mins

Step-by-step explanation:

12 * 5 = 60

15 * 4 = 60

Answer:

Step-by-step explanation:

The equation of this line is:

y = -5/2 x + 2.

Answer:

you're wrong

Step-by-step explanation:

should have been "Why are all the answers on this website saying my work is wrong?"

If v(t) and h(t) denote the ball's velocity and height at time t, respectively, then we have h(0) = 1.2 m and v(0) = 58 m/s.

The ball is in free fall after being tossed, so its acceleration is constant at any time t :

[tex]a(t) = -9.8 \dfrac{\rm m}{\mathrm s^2}[/tex]

By the fundamental theorem of calculus, the velocity function is given by

[tex]\displaystyle v(t) = v(0) + \int_0^t a(u) \, du[/tex]

Compute the integral:

[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) \int_0^t du[/tex]

[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t - 0)[/tex]

[tex]\displaystyle \boxed{v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t}[/tex]

Similarly, the height function is given by

[tex]\displaystyle h(t) = h(0) + \int_0^t v(u) \, du[/tex]

[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \int_0^t \left(58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t\right) \, du[/tex]

[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) (t - 0) - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t^2 - 0^2)[/tex]

[tex]\displaystyle \boxed{h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) t - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t^2}[/tex]

Answer:

V(t) = 58-9.8t

h(t)=1.2+58t-4.9[tex]t^{2}[/tex]

Step-by-step explanation:

Using the standard formula

a=V f-Vi/t --rearrange

at=V f-Vi

V f=V i + a t

therefore

V(t)=58-9.8t

same with height

H= Hi+Vit+1/2at^2

therefore

h(t)=1.2+58t-4.9t^2