The difference in means is about ____ times the mean absolute deviations

Alexxandr [17]

$4^{4x-5}=8^{3x-4}\\\\(2^2)^{4x-5}=(2^3)^{3x-4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-5)}=2^{3(3x-4)}\iff2(4x-5)=3(3x-4)\qquad\text{use distributive property}\\\\(2)(4x)+(2)(-5)=(3)(3x)+(3)(-4)\\\\8x-10=9x-12\qquad\text{add 10 to both sides}\\\\8x=9x-2\qquad\text{subtract 9x from both sides}\\\\-x=-2\to \boxed{x=2}$

8 0

3 years ago

Algebra 1!! Please only answer if you actually know!

natka813 [3]

Answer:

9. B

y=-5 and x=-25

y=(1/5)x

-5=(1/5)*-25

-5=-5

10. A

y=42 and x=14

y=3x

42=36*14

42=42

7 0

2 years ago

Angles A and B are located in the first quadrant such that sinA= 7/25 and cosB = 5/13. Determine the exact value for cos (A-B).

fomenos

Answer:

204/325

Step-by-step explanation:

You can work this a couple of ways. We expect you are probably expected to use trig identities.

cos(A) = √(1 -sin²(A)) = 24/25

sin(B) = √(1 -cos²(B)) = 12/13

cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)

= (24·5 +7·12)/325

cos(A -B) = 204/325

__

The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.

cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)

= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)

The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.

325·cos(A-B) = 204

so, the exact value is ...

cos(A -B) = 204/325

8 0

2 years ago

Help me pls due tmrw

stiv31 [10]

( a )pairs of vertical angles :

AGB and EGD

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal in magnitude.

( b ) a pair of adjacent angles :

AGB and BGC

Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.

(c) Name a pair if supplementary angles :

AGB and BGD

Two angles are called supplementary when their measures add up to 180 degrees.

(d) A pair of complementary angles :

AGF and FGE

Two angles are called complementary when their measures add to 90 degrees.

(e) Find measure of CGD :

( look into the photo attached for better understanding)

CGD = 55°

<em>hope this helps :)</em>

8 0

1 year ago

14:56

pentagon [3]

Answer:

$\dfrac{14}{56}=\dfrac{1}{4}$

Step-by-step explanation:

We need to find an expression that is equivalent to 14:56.

So,

$\dfrac{14}{56}=\dfrac{14}{14\times 4}\\\\=\dfrac{1}{4}$

So, the equivalent expression of the given expression is $\dfrac{1}{4}$ .

7 0

3 years ago