Answers
Answer:
1
Step-by-step explanation:
⅓Log₁₀(125/8) – 2Log₁₀(2/5) + Log₁₀(80/125)
The above expression can be simplified as follow:
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
Recall:
a LogM = Log Mᵃ
Therefore,
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
= Log(125/8)¹/³ – Log(2/5)² + Log(80/125)
= Log(5/2) – Log(4/25) + Log(16/25)
Recall:
Log M – Log N = Log M/N
Log(5/2) – Log(4/25) = Log (5/2 ÷ 4/25)
Log(5/2) – Log(4/25) = Log (5/2 × 25/4)
Log(5/2) – Log(4/25) = Log (125/8)
Therefore,
Log(5/2) – Log(4/25) + Log(16/25)
= Log (125/8) + Log(16/25)
Recall:
Log M + Log N = Log MN
Log (125/8) + Log(16/25)
= Log (125/8 × 16/25)
= Log 10
= Log₁₀10 = 1
Therefore,
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
= 1
Related Questions
The population of a bacterial culture grows at a rate of 4.5% every hour. If there were
200 bacteria at the start, how many bacteria are present after 10 hours?
310
250
300
370
Answers
Hope it helpful
There are 310 bacteria are present after 10 hours.
The first is the correct option.
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
Given:
The population of a bacterial culture grows at a rate of 4.5% every hour.
If there were 200 bacteria at the start,
then the number of bacteria after 10 hours are,
y = 200(1 + 0.045)¹⁰
y = 310.6
Therefore, 310.6 bacteria are present after 10 hours.
To learn more about the exponential growth;
https://brainly.com/question/12490064
#SPJ2
Keeping it simple by asking for more help. Question 10.
Answers
Answer: I will go with A or you can choose d if you want
Step-by-step explanation:
How many cups are in 16 gallons?
64
256
128
2,048
Answers
Answer:
256 cups
Each gallon has 16 cups so 16 gallons would have 16*16 cups. 16*16 = 256
Find the surface area of the pyramid.
A triangular pyramid. The base triangle has a base of 20 yards and a height of 17.3 yards. The height of a triangular face is labeled 12 yards.
Answers
Answer:
532.79yards²
Step-by-step explanation:
Surface area of a pyramid = A + 1/Ph
A is the base area
P is the perimeter of the base
h is the height of the pyramid
Given the following
Height of triangular base = 17.3yards
Base of the triangle = 20yards
Height of prism = 12yards
Base Area = 1/2 × 20×17.3
Base Area = 10×17.3
Base Area = 173yd²
For the Perimeter P
Get the slant height using Pythagoras theorem
s² = (20/2)²+17.3²
s² = 10²+17.3²
s² = 100+299.29
s² = 399.29
s = √399.29
s = 19.98
Perimeter = 19.98+19.98+20
Perimeter = 59.96yards
Substitute
Surface Area = 173+1/2((59.96)(12)
Surface Area = 173+6(59.96)
Surface Area = 173+359.79
Surface Area = 532.79yards²
Question 3
5 pts
(05.01 MC)
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of
4.5? (5 points)
6 cm
H
8 cm
O Perimeter - 126 cm, area = 131.25 cm?
O Perimeter = 46 cm, area = 972 cm?
Perimeter = 126 cm, area = 972 cm2
Perimeter - 46 cm, area = 131.25 cm2
Answers
Answer:
Perimeter is 126cm and area is 972[tex]cm^2[/tex]
Step-by-step explanation:
Scale factor means you multiply the dimensions by the factor. In this case 4.5
The width 6cm becomes 27cm. The length 8cm becomes 36cm.
Perimeter = 2*L + 2*W, L is length and W is width.
[tex]P=27*2cm+36*2cm\\P=54cm+72cm\\P=126cm[/tex]
Area = L*W
[tex]A=27cm*36cm\\A=972cm^2[/tex]
Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries. Which sample should Javier use to get results that are the most representative of the total population? A. A random sample of 1,000 people from each of the 50 states B. A random sample of 1,000 people from his town C. A random sample of 1,000 people from his state D. A random sample of 1,000 people from 5 local grocery stores
Answers
Answer:
a
Step-by-step explanation:
Because if he picks b which is only from his own town the rest of the states will not be included. If he pick only from his own states then he only represents his own states and for d 5 local grocery store we don't know which country it represents A is the correct answer.
The sample which Javier use to get results is a random sample of 1,000 people from each of the 50 states.
What is random sample?
Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
Here, sample which Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries.
To find the sample, which Javier use to get results that are the most representative of the total population, we have to check all the options.
Lets, check all the options,
A. A random sample of 1,000 people from each of the 50 states-This includes the sample from each state. This gives the fair and equal chance to be chosen the sample from the country. Hence, this is the correct option. B. A random sample of 1,000 people from his town-This option only include his own town and does not include any other town. Hence, this is not the correct option.C. A random sample of 1,000 people from his state-This option only include his own state and does not include any other state. Hence, this is not the correct option. D. A random sample of 1,000 people from 5 local groceries stores-This 5 local store may represent his country or any other country. Hence, this is not the correct option.Hence, the sample which Javier use to get results is a random sample of 1,000 people from each of the 50 states.
Learn more about the random sample here;
https://brainly.com/question/17831271
URGENT!!!!!! What is the length of the major axis of the conic section shown below?
Answers
the length of the major axis is equal 2 · 7 = 14
Step-by-step explanation:
Nun
Jim can buy 2 cakes for $40. At that rate, how much will it cost to buy 7
cakes?
Answers
Answer:
$140
Step-by-step explanation:
2 diveded by 40 is 20. 20 multiplied by 7 is 140.
Answer:
$140
Step-by-step explanation:
1 cake = $20
7 cakes * $20 per cake
= $140
Be Strong Now, Because Things Will Get Better. It Might Be Stormy Now, But It Can't Rain Forever.
Answers
Answer:
aw ty but is there a question?
Step-by-step explanation:
PLEASE ANSWER QUICKLY!
Kendra knits hats. She starts with 3 3/4 yards of yarn. After knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left. At what rate does the amount of yarn change?
Answers
Answer:
The amount of yarn changes at 0.5 yards per hour.
Step-by-step explanation:
Since Kendra knits hats, and she starts with 3 3/4 yards of yarn, but after knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left, to determine at what rate does the amount of yarn change the following calculation must be performed:
3/4 = 0.75
1/4 = 0.25
1/8 = 0.125
3.75 - 1.125 = 2.625
2.625 / 5.25 = 0.5
Thus, the amount of yarn changes at 0.5 yards per hour.
Help! I will give you A 100 points
Answers
Answer:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
Step-by-step explanation:
3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).
4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.
So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).
I hope this helped you.
your answers:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
What is the volume of a triangular pyramid that is 10 in. tall and has a base area of 9 square in.?
Answers
Step-by-step explanation:
anewer is 30 cubic inches.
Which equation can be used to solve x + 3 = 15?
Answers
Answer:
The equation 15 - 3 = x will help solve for x.
x = 12
Step-by-step explanation:
15 - 3 = 12
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
x = 15 - 3
Step-by-step explanation:
We need to isolate the variable for this. Simply subtract by 3 to get the equation.
x + 3 = 15
- 3 - 3
x = 15 - 3
the real answer would be 12, if you need that.
How is basic math used in a business? Give me three examples.
Answers
Answer:
Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radious of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
Answers
Answer: b. 8
Step-by-step explanation: I don’t have work
The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.
Calculation of the radius of the circle;Since
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.
Also we know that
Area of the sector = [tex]65 / 360 *[/tex] Area of circle
[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]
r = 8
Hence, The radius of the circle in inches should be considered as the 8.
Learn more about circle here: https://brainly.com/question/15593101
Lisandra made 18.3 quarts of split pea soup for her restaurant. She wants to put the
same amount of soup into each of 15 containers.
How much soup should Lisandra put into each container?
Lisandra should put
quarts into each container.
Answers
Answer: 3.66
Step-by-step explanation:
18.3 divided by 15
In ΔEFG, e = 4.7 inches, f = 4.8 inches and g=3.6 inches. Find the measure of ∠E to the nearest 10th of a degree.
Answers
Answer:66.3
Step-by-step explanation:
The line plot shows the amount of time (in hours) that Jodi practiced the flute over 8 days.
Answers
Answer:5 1/2 hours
Step-by-step explanation:
3/2 inches snow fell in 3/4 of an hour which two statements are true
Answers
Answer:
I don't see the two statements
Step-by-step explanation:
Answer:
A and E Usa test prep
Step-by-step explanation:
I know it might be late by now but this is for the people who are searching for the answer for the future
Find the value of 2.
35°
xº
(x + 95)°
Answers
Answer:
x = 25°
Step-by-step explanation:
The sum of the interior angles of a triangle = 180°
180° = 35° + x° + x + 95°
2x° = 50°
x = 25°
what time will a car traveling at an average speed of 30km/hr cover a distance of 45km
Answers
Answer:
1 1/2 hr
Step-by-step explanation:
find the values of b
b²= 256
b=?
Answers
Answer:
if b²=256
then b=16
....................
Answer:128
Step-by-step explanation:
bsqured=256 squre root. b=256÷2. =128
11 divided by 30.8 PLEASE I NEED HELP
Answers
Answer:
2.8
Step-by-step explanation:
Answer:
30.8/11=2.8
11/30.8=0.357142857
Step-by-step explanation:
give me brainlest please
the price of a board game was reduced from $40 to $25. by what percentage was the price of the board game reduced?
Answers
WILL MARK BRAINLIST JUST HELP NOW
If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of X.
A) 10 degrees
B) 25/5 degrees
C) 40 degrees
D) 160 degrees
Answers
Answer:
definitely A
Step-by-step explanation:
10 degrees. hope this helps lovely <3
Sarah has an $80 gift card to a store at the mall. She uses the gift card to buy a
shirt for $14, and also wants to buy some earrings for her and her friends. Each
pair of earrings cost $6. Which one of these inequalities represents the situation,
where e is the number of pairs of earrings Sarah can buy?
Answers
Answer:
80-14= 66
66
11x6= 66
So she can get 11 pairs of earrings
I think I’m doing this wrong but I hope this gives u an idea
Step-by-step explanation:
Answer:
She can buy 11 pairs
Step-by-step explanation:
$80-14=66
Each costs 6, so 66/6=11
Sarah can buy 11 pairs.
The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members
Answers
Answer:
The probability that exaclt x of the members are union members from the n interviewed is given by:
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
About 96% of all workers employed by the university belong to the workers' union.
This means that [tex]p = 0.96[/tex]
What is the probability that exactly of the workers interviewed are union members
We want probability of x, from n workers interviewed. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Mai wants to tile the floor of her kitchen. Each tile has an area of 1 square foot. The floor of her kitchen is 11 feet by 16 feet. How many tiles does she need?
This is what my kid asked me
Answers
Answer:
176 tiles
Steps by step:
I need help I dont quite understand it
Answers
Explanation :-
20/5=4
8/2=4
They are both 4 so you will do
(5x-11)=4
-11+11=0
4+11=15
5x=15
15/5=3
x=3
Hope it helps
mario is saving his money in order to buy a new video game, he decides to save $5 of his allowance every week. the equation he writes to describe the total amount of money he will save each week is shown below.