Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
Ethan earns $10 every hour for walking Ms. Barn's two dogs, plus an additional $7
for brushing the dogs after their walk. If Ethan earned $32 on Monday, find
the equation which best represents the situation?
Can someone help me pls
Answer:
the only explanation to this is segment MN is tangent to circle L because it touches the circle L in one point
For MN to be tangent, angle N would need to be 90 degrees making the triangle a right triangle.
Using the Pythagorean theorem uses the base and the height to see if it equals what is shown for the hypotenuse. If it does it is tangent.
Hypotenuse = SQRT(18^2 + 80^2)
Hypotenuse = sqrt(324 + 6400)
Hypotenuse = sqrt(6724)
Hypotenuse = 82
This matches the 82 shown in the picture, so it is a right triangle, making MN tangent to circle L.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE TODAY I NEED HELP ASAP
A restaurant has a 15% mandatory tip rate.
(a) Complete the ratio table shown. Show your work.
Pre-Tax Bill ($): 10 __ 60 __
Tip ($) __ 12 __ 15
(b) Using the table, how can you find the total tip paid on $70?
Answer:
Subtotal 70.00
15% Tip 10.50
Total 80.50
Step-by-step explanation:
1% 0.70
2% 1.40
3% 2.10
4% 2.80
5% 3.50
6% 4.20
7% 4.90
8% 5.60
% Tip
9% 6.30
10% 7.00
11% 7.70
12% 8.40
13% 9.10
graph
[tex]y = - 2 - {e}^{ - \frac{ - x}{2} } [/tex]
what are the transformations??
Graph attached
Y intercept is at -3pls helppppp it's hard :(
Answer:
The answer is A .
Step-by-step explanation:
Good luck ;)
Quincy is having a sale at his store. He is selling a table for $450. If the sales tax is 8.5%, then how much will a customer need to pay in taxes if they buy the table?
Answer:
488.25
Step-by-step explanation:
julie wants to invest $3,000 into
a mutual fund that pays 7%
interest for 10 years. suppose
the interest were compounded
monthly instead of annually.
how much would the future
value of the investment
increase?
Answer:
$400
Step-by-step explanation:
The future value of the investment increase will be $6,028.98.
What is compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Given:
P = $3000
R = 7%
T = 10 years
r = R/100
r = 7/100
r = 0.07 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 3,000.00[tex](1 + 0.07/12)^{(12)(10)[/tex]
A = 3,000.00[tex](1 + 0.0058333333333333)^{(120)[/tex]
A = $6,028.98
Hence, the future value will be $6,028.98.
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Please explain to me how to find y. I’m so confused.
Provide one reason for when you can use the distance formula.
Answer:
Draw a right triangle such that the distance between the two points is the hypotenuse. Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.
How would you describe a linear learning curve. Choose the best available answer. for each unit of time the performance improves a proportional amount for each unit of time the performance decreases a proportional amount the performer displays rapid initial improvement followed by a decline in the rate of improvement the performer displays little initial improvement followed a rapid increase in the rate of improvement none of the above
Answer:
My answer would be; the performer displays rapid initial improvement followed by a decline in the rate of improvement.
Step-by-step explanation:
Usually a learning curve means that struggles are occurring after time of understanding and if we were creating a linear graph of this learning curve, it would be decreasing.
Please help me with this it’s confusing ,
Answer:
It’s the 4th one
Step-by-step explanation:
Round .67832947 to the nearest thousandths (three decimal places)
PLZ HELP ILL MARK BRAINLIST!!!
Answer:
So, your answer would be 226.08 cubic meters of dirt.
Step-by-step explanation:
:D
Please answer the question in the picturee
Answer: 8
Step-by-step explanation:
12-4= 8
*8 is the length of the side because of this theory I forgot, but yeah!
Need help!
Please explain your answer
k = (2,2)
L=(4,5)
first see the x-axis and then y-axis
If AB = 4 centimeters, which is closest to BC?
Options
4.7 cm
3.4 cm
2.5 cm
2.1 cm
in my opinion it is 3.4 cm because in any case it is a right triangle,then you can see whith the naked eye that AB is longer
Consider a system with one component that is subject to failure, and suppose that we have 120 copies of the component. Suppose further that the lifespan of each copy is an independent exponential random variable with mean 10 days, and that we replace the component with a new copy immediately when it fails.
a. Approximate the probability that the system is still working after 1300 days.
b. Suppose that the time to replace the component is a random variable that is uniformly distributed over ( 0 , 0.5 ). Approximate the probability that the system is still working after 1100 days.
What is the sum of just the fraction parts of 1 5/8 and 1 6/8?
Answer:
Just the fraction parts: 11/8 or 1 3/8
Step-by-step explanation:
1 5/8 + 1 6/8 = 3 3/8
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
A figure has vertices at (-3,5), (-1,8), (1,5), (1,1), (-1,-2) and (-3,1). What is the correct name
of this figure?
Answer:
regular hexagon
Step-by-step explanation:
express 110111 base two to base ten
Answer:
zh
Step-by-step explanation:
What is the value of the expression 2[3(4^2+1)]-2^3?
Answer: 94
Step-by-step explanation: use photo math :)
can someone plz plz answer this PLZ!! BOTH QUESTIONS
Answer:
17. 2,336 ft²
18. V = 6,720 ft³
Step-by-step explanation:
17. Surface area of the tent not including the floor = area of the 2 triangular bases + area of the 2 rectangular side faces
= 2(½*bh) + 2(L*W)
Where,
b = 14 ft
h = 24 ft
L = 40 ft
W = 25 ft
Substitute
Area = 2(½*14*24) + 2(40*25)
Area = 336 + 2,000
Area = 2,336 ft²
18. Volume of circus tent = volume of triangular prism = ½*b*h*l
Where,
b = 14 ft
h = 24 ft
l = 40 ft
Substitute
V = ½*14*24*40
V = 6,720 ft³
Heather invested $25,800 in an account that pays 4% simple interest. If she invests the money for 10 years, how much will she have?
Answer:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 25800(1 + (0.04 × 10)) = 36120
A = $36,120.00
The total amount accrued, principal plus interest, from simple interest on a principal of $25,800.00 at a rate of 4% per year for 10 years is $36,120.00.
Miss Patterson is getting married soon. She would like to hire a professional who will
come to her house and do hair and makeup for the bridal party on her wedding day.
She has narrowed it down to two possible choices. A woman from Burlington Salon
charges an initial fee of $30 and then an additional $20 per hour. Alternatively, a team
from Beauty by Dirk offers a free consultation and then charges a higher hourly rate of
$30. If it takes a certain amount of time to finish everyone's hair and makeup, Miss
Patterson will end up paying the same amount either way. How much would Miss
Patterson end up paying?
a) Write a system of linear equations to represent this situation.
b) Graph that system (assume the graph is increasing by 10s rather than 1s).
C) Find the solution and explain what it means.
Answer:The first team
Step-by-step explanation:The first team charges least and 30 dollers a hour is alot if the time gets 5-10 hours.
Your welcome!
Name a pair of lines that are parallel
you didn't include the picture, so I cant see what the question is, sorry.
or if you mean any lines they just have to not intersect or combined at any point like the image I attached, that is parallel lines when they never touch.
Select the reason that supports the following statement.
Answer:
B. Subtraction property of equality
Step-by-step explanation:
If you subtract angle 3 from both sides, then angle two and angle four must be equal. The property you would be using is the subtraction property of equality.
Answer:
Subtraction property of inequality
Step-by-step explanation:
See
<2+<3=<3+<4As <3 is same on both sides We can cancel it out
The expression yields
<2=<45. Find the value of x in the figure shown. 68 * 68 a. 20 b. 22 c. 45 d. 80
Answer:
yes
Step-by-step explanation:
yes of course.
Use substitution to find Limit of StartStartFraction cosine (StartFraction pi x Over 4 EndFraction) OverOver x + 1 EndEndFraction as x approaches 3.
ANSWER: C
Answer:
C
Step-by-step explanation:
- square root 2 / 8
[tex]\bold{ \lim_{x \to 3} \frac{cos(\frac{\pi x}{4} )}{x+1} } = \bold{-\frac{\sqrt{2} }{8} }[/tex] , the correct answer is option (C)
What is limit?"A limit is the value that a function approaches as the input approaches some value."
What is substitution in mathematics?"Substitution is the process of replacing an algebraic letter with its value. "
Given: [tex]\lim_{x \to 3} \frac{cos(\frac{\pi x}{4} )}{x+1}[/tex]
By substitution the value of limit,
[tex]\lim_{x \to 3} \frac{cos(\frac{\pi x}{4} )}{x+1}[/tex]
= [tex]\frac{cos(\frac{\pi (3)}{4} )}{(3)+1}[/tex]
= [tex]\frac{cos(\frac{3\pi}{4} )}{4}[/tex]
= [tex]\frac{-\frac{1}{\sqrt{2} } }{4}[/tex]
= [tex]-\frac{1}{4\sqrt{2} }[/tex]
= [tex]\bold{-\frac{\sqrt{2}}{8} }[/tex]
Hence, option (C) is the correct answer.
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Help please !!! I don’t know what to do
9514 1404 393
Answer:
6. x = 3
8. x = -7.5
Step-by-step explanation:
Put the number in place of the expression it is equal to, then solve for x.
__
6) g(x) = -x +5
2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2
x +2 = 5 . . . . . . . . . . add x to both sides
x = 3 . . . . . . . . . . . . . subtract 2 from both sides
__
8) n(x) = -2x -21
-6 = -2x -21 . . . . . n(x) is replaced by its equal: -6
3 = x +10.5 . . . . . . divide both sides by -2
-7.5 = x . . . . . . . . . subtract 10.5 from both sides
_____
Additional comment
We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...
2 -x +5
-3 = -x . . . . subtract 5
3 = x . . . . . . multiply by -1
The way we did it avoids negative numbers.
Brainliest for correct answer
