Answer:
Given an exponential function of the form
y = a*(b)^x
The values of b that will result in the desired percentage values are:
Case 1
b = 23% decrease
1 - 0.23 = 0.77
y = a*(0.77)^x
Case 2
b = 8% increase
1 + 0.08 = 1.08
y = a*(1.08)^x
Case 3
b = 15% decrease
1 - 0.15= 0.85
y = a*(0.85)^x
Case 4
b = 120% increase
1 + 1.2 = 2.2
y = a*(2.2)^x
See attached picture for examples
Answer:
5.1 cm
Step-by-step explanation:
5.1 cm is your required answer
Combine Like Terms:<span>=<span><span><span><span>−p</span>+3</span>+<span>2p</span></span>+<span>−<span>2p</span></span></span></span><span>=<span><span>(<span><span><span>−p</span>+<span>2p</span></span>+<span>−<span>2p</span></span></span>)</span>+<span>(3)</span></span></span><span>=<span><span>−p</span>+<span>3</span></span></span>
Answer:
-3.73
Step-by-step explanation:
solution:
Given:
Angle between two lines=60⁰
slope of first line=1
Or, tanA=1
Or, A= tan inverse (1)
so, A=45⁰
so, angle of inclination of first line=45⁰
Now,
angle of inclination of second line= A+ 60⁰
= 45⁰+60⁰
=105⁰
so, slope of second line = tan105.
= -3.73
We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.
∠WYX and ∠WYZ are complementary.
We know, sum of complementary angles is = 90°.
So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.
m∠WYX + m∠WYZ = 90°.
Plugging values of ∠WYX and ∠WYZ in the above equation, we get
(2x−1)° + (4x+1)° = 90°.
Removing parentheses from both sides,
2x-1 + 4x+1 =90.
Combining like terms,
2x+4x= 6x and -1+1 =0
6x +0 =90.
6x=90.
Dividing both sides by 6.
6x/6 =90/6
x= 15.
Plugging value of x=15.
m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29
m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.
Therefore, ∠WYX=29° and ∠WYZ=61°.