Answer:
[tex]g(f(d)) = -dlog_{10}(0.5 * 10^{-4})[/tex]
Step-by-step explanation:
Given
[tex]f(d) = (0.5 * 10^{-4})^d[/tex]
[tex]g(H+) = -log_{10}(H+)[/tex]
Required
Find the composite function g(f(d))
We have:
[tex]g(H+) = -log_{10}(H+)[/tex]
Substitute f(d) for H+
[tex]g(f(d)) = -log_{10}(f(d))[/tex]
Substitute [tex]f(d) = (0.5 * 10^{-4})^d[/tex]
[tex]g(f(d)) = -log_{10}((0.5 * 10^{-4})^d)[/tex]
Apply law of logarithm
[tex]g(f(d)) = -dlog_{10}(0.5 * 10^{-4})[/tex]
Hence, the function is:
[tex]g(f(d)) = -dlog_{10}(0.5 * 10^{-4})[/tex]
Answer:
It's C
Step-by-step explanation:
A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive bounce is 67% of the previous bounce's height. What would be the height of the 8th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
4.79
Hope this helps! :D
Answer: 0.2
Step-by-step explanation:
HELP ME !!
The linear equation c = 6.5n + 1500 models cost c, in dollars, to produce n toys at a toy factory. What is the y-intercept, and what does it mean in this context?
A)The y-intercept is 6.5 and represents the number of toys produced increases by about 6.5 for each $1 increase in cost.
B)
The y-intercept is 1500 and represents the costs $1500 to run the factory if no toys are produced.
C)The y-intercept is 1500 and represents The factory can produce 1500 toys at no cost.
D)The y-intercept is 6.5 and represents the cost increases by $6.50 for each toy produced.
Answer:
B
Step-by-step explanation:
This is because 6.5n is the slope and the +1500 is the y-intercept. Remember its y=mx+b.
Answer:
B
Step-by-step explanation:
Hope this helps have a great day :)
cosec 45^0
= ______ .
Answer:
cosec45° = [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the identity
cosec x = [tex]\frac{1}{sinx}[/tex] and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]
Then
cosec45° = [tex]\frac{1}{\frac{1}{\sqrt{2} } }[/tex] = [tex]\sqrt{2}[/tex]
Which one is smaller
Answer:
Jasmine
Step-by-step explanation:
Michelle: .75
Mike: .66
Rasheed: .83
Jasmine: .57
The segments shown below could form a triangle.
A. True
B. False
If a duck have speed of 6 m/s in 10 s. What is the duck's distance?
Answer:
60 meters
Step-by-step explanation:
hope this helps
The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.
Answer:
false
true
true
false
.......
(8x³+1-6x) - (7x³+3+7x)
A private club was reduced by 36 members in 4 weeks. Its size changed by the same number of members each week. What was the change in the club’s size each week?
Answer:
9 members per week
Step-by-step explanation:
If 36 people overall left over 4 weeks, you can do
36/4=9
(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how much total will he have paid after three years?
Answer:
The total amount that he would have paid after 3 years is $1183.
Step-by-step explanation:
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
I represents interest paid on the amount owed.
P represents the principal or initial amount owed.
R represents interest rate
T represents the duration for which the amount was owed in years.
P = $795
R = 16.25
T = 3 years
I = (795 × 16.25 × 3) ÷ 100
I = $388
Total amount that he would have paid after 3 years is $795 + $388 = $1183
The total amount that he would have paid after three years would be $1183.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
The given data as per the question
P = $795
R = 16.25
T = 3 years
Simple interest = P × R × T
Substitute the values,
Simple interest = (795 × 16.25 / 100 × 3)
Simple interest = (795 × 0.1625 × 3)
Simple interest = $388
The total payback amount : $795 + $388 = $1183
Therefore, the total amount that he would have paid after three years is $1183.
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Which of the following tables does not represent a linear relationship between x and y?
Answer:
The first one is not liner
Step-by-step explanation:
This isn't linear because the y values increase inequally. It adds 2 and then 3 instead of keeping a constant rate
A bag contains different color marbles, 4 blue marbles, 7 yellow marbles, 5 red marbles, and 2 green marbles.
Frank draws one marble, 36 times, replacing the marble each time. Use theoretical probability to predict how many times Frank will draw a green marble.
Frank will draw a green marble ___ times.
Answer:
2/36
Step-by-step explanation:
x +2y = 4
Does the ordered pair (2,1) satisfy the
y = 3x - 1 ? Justify your answer.
system
Which two equations have no solution? Explain how you determine your answer.
1. -2x - 6y = 36 - 4x
2. 2(3x - 3y) = 36
3.4x - 6y + 36 = -2x
What is the slope of this line??
Answer:
3/2
Step-by-step explanation:
Answer:
m= 8/5
Step-by-step explanation:
Points on the graph: ( -4, -4) and (1, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+4)/(1+4)
m= 8/5
Ayesha, Laurel, Gemma, Reid, Emma, Gita, and Maas write their names on small pieces of paper and put them into a hat. A name is pulled from the hat without looking. Use a fraction to describe the theoretical probability of each event. Then order the events from most likely to least likely. The name drawn starts with a "G." The name drawn does not start with a vowel. The name drawn ends with an "a." The name drawn contains an "e." The name drawn contains a "z."
Answer:
Emma and Maas and other people
An artist creates 8 identical ceramic bowls. The bowls contains some glass and 59.2
pounds of clay. The artist uses a total of 73.6 pounds of clay and glass to make the
bowls. Each bowl contains how many pounds of glass?
Can someone help me again please ?!
Actually, if you notice that two of the lines are parallel, the answer is x=53!
Answer: Answer is 53
Step-by-step explanation:
A person invested $3,600 in an account growing at a rate allowing the money to
double every 7 years. How much money would be in the account after 17 years, to the
nearest dollar?
Answer:
$14400
Step-by-step explanation:
3600*2=7200 after the first 7 years
7200*2= 14400 after the next 7 years
17-14=3 years left after the first 14 years
The money in the account 17 years, to the nearest dollar is $20571.43.
Given that, a person invested $3,600 in an account growing at a rate allowing the money to double every 7 years.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Here, principal =$3600, money after 7 years= 2×3600 =$7200 and time period =7 years
2nd term:
Principal =$7200, money after 7 years = 2×7200=14,400
Thus, 17-14=3 years
Now, money for 3 years = 3/7 ×14,400
= $6171.43
So, money in the account after 17 years is
= 14400+6171.43
= $20571.43
Hence, the money in the account 17 years, to the nearest dollar is $20571.43.
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true or false? typing 720 words in 12minutes is equal to 60 words per minute
Answer:
720/60
=12
Yepz
Step-by-step explanation:
TrueHope it helps
Answer:
It's True
Step-by-step explanation:
1 minute = 60 words
then how many words in 12 minutes?
So, Multiply 12 with 60
12 × 60 = 720
Thus, 720 words can be type in 12 minutes
-TheUnknownScientist
please give the answer fast
Step-by-step explanation:
my personal opinion is that the answer is 20
Can someone please help me?
Answer:
Solution given:
1.KU =UE Def.of midpoint
2.LU=UT Def.of midpoint
3.<KUL=<TUE Vertically opposite angle
4.∆KLU=∆ETU. S.S.A. axiom
Step-by-step explanation:
It will help you !!!!!!!!!!!///
C(a)=7500a−1500C, left parenthesis, a, right parenthesis, equals, 7500, a, minus, 1500, M(c) = 0.9c - 50M(c)=0.9c−50M, left parenthesis, c, right parenthesis, equals, 0, point, 9, c, minus, 50, y M(C(a))=6750a-1400M(C(a))=6750a−1400
Here's link to the answer:
tinyurl.com/wpazsebu
Find x and y and c. Answer this is the next 2 days please.
Here:
(I added you to the doc so you can see it, don't worry)
HURRY!!
The sequences are:
Number of moves: 1, 3, 7, 15, 31, 63, ...
2":2, 4, 8, 16, 32, 64, ...
Compare the two sequences. What is the pattern?
How could you find the minimum number of moves
required for a given number of disks?
The minimum number of moves required for a given number of disks.
We have given that,
The sequences are number of moves 1, 3, 7, 15, 31, 63,
2,2, 4, 8, 16, 32, 64,
Compare the two sequences.
Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
You can find any term in the sequence of moves using the formula
[tex]a_1=2^n-1[/tex]
No one cares about the explanation good luck with your grade Bois.
The minimum number of moves required for a given number of disks.
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Answer:
Each term in the sequence of moves is 1
less than the corresponding term in the
sequence of differences.
You can find any term in the sequence of
moves using the formula
Step-by-step explanation:
The ceiling of Katie's living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Answer:
3
Step-by-step explanation:
Steps to answering this question : Determine the perimeter of the ceiling Divide the perimeter of the ceiling by the length of the rolls of crepe paperPerimeter of square = 4l
Where l = length of a side
4 x 15 feet = 60 feet
60/20 = 3
Answer:
6
Step-by-step explanation:
took test
The bill at a restaurant is $32 before tax. The tax on the bill is 5%. How much is the final bill including tax?
O $30.40
O $33.60
o $37.00
O $48.00
Answer: $33.60(B)
Step-by-step explanation:
Short way:
100+5 = 105
Convert to decimal:
1.05
Multiply:
32(1.05) = $33.60
Answer: $33.60
Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true?
Answer:
Step-by-step explanation:
Parallel lines: A and B
Rotation: 90° same direction
Translation: Right (same units)
The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?
The discounted price of a pizza will be $1.8.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The pizza shop offers a 15 percent discount for veterans and senior citizens.
And, The price of a pizza = $12
Now,
Since, The price of a pizza = $12
And, The pizza shop offers a 15 percent discount for veterans and senior citizens.
Hence, The discounted price of pizza = 15% of $12
= 15 x 12 / 100
= $1.8
Thus, The discounted price of a pizza will be $1.8.
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Answer:
You can subtract the discount percent from 100% and then multiply that by the original price.
IWILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation: