Answer:
-1/4
Step-by-step explanation:
y1 y2 x1 x2
17 - 18=-1 11 - (-15 ) 4
Answer: 511
Step-by-step explanation:
53.
For this problem simply plug in the numbers: 1 through 9 for n
the n=1 on the bottom represents the start and the 9 at the top represents the end
and the 2^n-1 represents the rule
solving for a1: plugging in one for n
a1=2^1-1
a1=1
a2=2^2-1
a2=2
a3=2^3-1
a3=4
a4=2^4-1
a4=8
a5=2^5-1
a5=16
a6=2^6-1
a6=32
a7=2^7-1
a7=64
a8=2^8-1
a8=128
a9=2^9-1
a9=256
after finding all these values add them all together and you should get your answer
1+2+4+8+16+32+64+128+256
=511
Using the profit function, it is found that:
a) She earns $36 after 25 years.
b) The function was shifted right 4 units and up 1 units.
<h3>What is the profit function?</h3>
The profit, in x years after 2015, is given by:
Item a:
She earns $36 after x years, considering x for which p(x) = 36, hence:
She earns $36 after 25 years.
Item b:
The new function is:
At the domain, we have that , that is, , hence it was shifted right 4 units.
At the range, we have that , hence it was shifted up 1 unit.
You can learn more about functions at brainly.com/question/24380382
Answer:
Measure of ∠FGE is 40.2°.
Step-by-step explanation:
Refer to the attachment.
Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.
To find the value of ∠FGE use trigonometric ratios.
Use sine ratio to find the value of ∠FGE.
Rewriting it in terms of x° as follows,
Now find the opposite and hypotenuse side of the angle ∠FGE.
So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.
Substituting the values,
Given that length of FE is 12 inch and FG is 18.6 inch.
Substituting the value,
To find the value of x, taking inverse sin.
Calculating the value,
Rounding to nearest tenth the value of angle is 40.2
Therefore measure of ∠FGE is 40.2° .
Answer:
0.8X = Final cost
Step-by-step explanation:
Given that jeans are on sale for 20% off the regular price, to determine which function would give you the total cost for purchasing a pair of jeans that costs X dollars, the following calculation must be performed:
1X = Initial cost of the jeans
20% = 0.2
1 - 0.2 = 0.8
0.8X = Final cost