Answer:
The bases aren't the same
Step-by-step explanation:
If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968
Given log3 4 = 1.262 and log3 7 = 1.771, what is the value of log3 (7/16)?
Answer:
[tex]log_3(\frac{7}{16}) =-0.753[/tex]
Step-by-step explanation:
Use the laws of log()
[tex]log_x(\frac{a}{b}) =log_x(a)-log_x(b)[/tex]
[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(16)[/tex]
[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(4^2)[/tex] you can move exponent outside of log()
[tex]log_3(\frac{7}{16}) =log_3(7)-2log_3(4)[/tex]
[tex]log_3(\frac{7}{16}) =(1.771)-2(1.262)[/tex]
[tex]log_3(\frac{7}{16}) =-0.753[/tex]
The required value of log₃ (7/16) is 0.753 which is determined by properties of logarithms.
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
The functions of logarithmic are given in the question
log₃ 4 = 1.262 and log₃ 7 = 1.771
We have to determine the value of log₃ (7/16)
⇒ log₃ (7/16) = log₃ 7 - log₃ 16
⇒ log₃ (7/16) = log₃ 7 - log₃ 4²
Using property of logarithm logₐ(xⁿ) = n logₐx.
⇒ log₃ (7/16) = log₃ 7 - 2 log₃ 4
Substitute the values of log₃ 4 = 1.262 and log₃ 7 = 1.771 in the above equation,
⇒ log₃ (7/16) = 1.771 - 2(1.262)
⇒ log₃ (7/16) = 1.771 - 2.524
⇒ log₃ (7/16) = 0.753
Therefore, the required value of log₃ (7/16) is 0.753.
Learn more about the logarithmic properties here:
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How many quarters are there in $2?
A. 2
B. 4
C. 6
D. 8
Sally spent a long time searching for the perfect tree. She could look in 6 stores in 45 minutes. If she shopped for 2 hours, how many stores did she visit?
Answer:
24
Step-by-step explanation:
Sally visited 16 stores when shopping for 2 hours.
Since Sally could look in 6 stores in 45 minutes. Hence:
Time spent in each store = 45 minutes/6 stores = 7.5 minutes per store.
Given a time of 2 hours = 2 hours * 60 minutes per hour = 120 minutes
Number of stores visited in 2 hours = 120 minute / 7.5 minute per store = 16 stores
Therefore Sally visited 16 stores in 2 hours.
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cual es la respuesta de 1000+25
Answer:
1025
Step-by-step explanation:
1 0 0 0
+ 2 5
---------------
1 0 2 5
----------------
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PLZ MARK AS BRAINLIEST!!!!!!
Marisa's car gets an average of 28 miles per gallon of gas. She plans to drive 200 miles today and 220 miles tomorrow. How many gallons of gas should she expect to use in all?
A) 15 gallons
B) 28 gallons
C) 56 gallons
D) 67 gallons
Answer:
15
Step-by-step explanation:
Add the total of miles Marisa is going to drive; 200 + 220 = 420
Next, divide the total miles by the average miles Marisa can travel on one gallon of gas; 420 / 28 = 15
(Hope this helps!)
the sum of 1 and 3 times a number is 22. write and solve and equation to determine the number. select the solution and graph that represents the number
a) x=4
b) x=6
c) x=7
d) x=9
Answer:
b
Step-by-step explanation:
If the sum of 1 and 3 times a number is 22, then x=7 is the solution and graph that represents the number
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
The sum of 1 and 3 times a number is 22.
Let the unknown number be x
1+3x=22
Now subtract 1 from both the sides
1+3x-1=22-1
3x=21
Divide both sides by 3
x=7
So the solution of sentence sum of 1 and 3 times a number is 22 is 7.
x=7 is the equation of graph that represents the number
Hence x=7 is the equation of graph that represents the number
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What is the value of the question mark in the picture below .
Answer:
84 degrees
Step-by-step explanation:
Vertical angles, then corresponding
what is 763 thousandths in scientific notation
Answer:
763,000 in scientific notation. the scientific notation of 763,000 is equal to 7.63 ×
geometry of straight lines
Step-by-step explanation:
In geometry, the notion of line or straight line was introduced by ancient mathematicians to represent straight objects with negligible width and depth. Lines are an idealization of such objects, which are often described in terms of two points or referred to using a single letter.
Types of Lines:Vertical lines: are straight up and down and perpendicular to horizontal lines.Horizontal lines: are straight up and down and perpendicular to vertical lines.Diagonal lines: are lines that straight in any direction except vertical or horizontal.The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
I hope it helps you!
I will give Brainlyest to the first person
A family gathered 12 seashells from the beach bringing the total number of seashells in their collection to 86
Which equation can be used to find, x, the number of seashells in the collection before the 12 were added?
Answer:
The first selection is the answer.
Step-by-step explanation:
x+12=86
The equation that can be used to find x is x + 12 = 86
A linear equation is of the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the number of seashells in the collection before the 12 were added. Hence to find x, we use the equation:
x + 12 = 86
The equation that can be used to find x is x + 12 = 86
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Solve the equation 4x - 6 = 34. Write a justification for each step.
47-6= 34
Given equation
+6 +6
4x
Simplify.
= 40
4x 40
44
[2]
X= 10
Simplify
[1] Addition Property of Equality,
[2] Reflexive Property of Equality
[1] Substitution Property of Equality,
[2] Division Property of Equality
[1] Division Property of Equality,
[2] Subtraction Property of Equality
[1] Addition Property of Equality:
[2] Division Property of Equality
8
Answer:
[1] Addition property of equality
[2] Division property of equality
Step-by-step explanation:
Given the equation, [tex] 4x - 6 = 34 [/tex], the following are steps and justification for each step taken:
[tex] 4x - 6 = 34 [/tex] => Given equation
Add 6 to both sides
[tex] 4x - 6 + 6 = 34 + 6 [/tex] => addition property of equality [1]
[tex] 4x = 40 [/tex] => simplify
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{40}{4} [/tex] => Division property of equality [2]
[tex] x = 10 [/tex] => simplify
The justification for the steps taken are:
[1] Addition property of equality
[2] Division property of equality
Expand: fx=x^4-blankx^3+blank x^2 + blank x- blank
Please help me with this question.... please...
Answer:
just plug in the x value into the equation and put it in ur calculator
Solve (x + 2 -6).
{x | -6 1}
{x | x < 0}
Answer:
x^2 + x = 0
Step-by-step explanation:
Simplifying
x2 + x = 0
Reorder the terms:
x + x2 = 0
Solving
x + x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + x) = 0
There are 1 × 1014 good bacteria in the human body. There are 2.6 × 1018 good bacteria among the spectators in a soccer stadium. About how many spectators are in the stadium? Express your answer in scientific notation.
Answer:
There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.
Step-by-step explanation:
From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:
[tex]x = \frac{2.6\times 10^{18}\,bacteria}{1\times 10^{14}\,bacteria}[/tex]
[tex]x = \frac{2.6}{1}\times \frac{10^{18}}{10^{14}}[/tex]
[tex]x = 2.6\times 10^{18-14}[/tex]
[tex]x = 2.6\times 10^{4}[/tex]
There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.
9.75 x 10 minus to the 4th power?
Mr. Au went to eat at McDonald's this week. On Monday, he ate some hamburgers. On Tuesday, he ate nothing at McDonald's. On Wednesday, he ate four more hamburgers than the number that he ate on Monday. On Thursday, he ate nothing at McDonald's. On Friday, Mr. Au ate three times as many hamburgers as he ate on Wednesday. Mr. Au ate a total of 26 hamburgers that week. How many hamburgers did he eat each day?
Answer: See explanation
Step-by-step explanation:
Let the number of hamburger he ate on Monday be represented by x.
Monday = x
Tuesday = 0
Wednesday = x + 4
Thursday = 0
Friday = 3(x + 4)
Total hamburgers ate = 26
To find the amount of hamburger ate each day we add the number of hamburger ate per day all together. This will be:
= x + 0 + x + 4 + 0 + 3(x+4) = 26
2x + 4 + 3x + 12 = 26
5x + 16 = 26
5x = 26 - 16
5x = 10
x = 10/5
x = 2
Monday = x = 2 hamburgers
Tuesday = 0
Wednesday = x + 4 = 2 + 4 = 6 hamburgers
Thursday = 0
Friday = 3(x + 4) = 3(2 + 4) = 18 hamburgers
Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase. How often will a bag contain both a T-shirt and socks? Items in the Gift Bag T-shirt Every 4th bag Socks Every 3rd bag
Answer:
Every 12th bag
Step-by-step explanation:
Given that:
Gift bag contains :
T - shirt = every 4th bag
Socks = Every 3rd bag
To obtain how often gift bag contains both T-shirt and socks , obtain the Lowest common multiple of 4 and 3
Multiples of :
4 : 4, 8, 12, 16, 20, 24,....
3 : 3, 6, 9, 12, 15, 18, 21, 24,....
Hence, the lowest common multiple of both 4 and 3 is 12.
The bag will contain both T-shirt and socks after every 12th bag
which number is irrational?
Answer: pie, the last one
Graph the line
y=-2x=2
please hurry!
Answer:
-1,0
0,-2
slope is -2/1
Answer:
View the Screenshot that I have sent.
If 7^9/7^n = 7^3, then n is___.
12
01
-3
3
Answer: 6, but it isn't in your answer choices
Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6
Need some help with this question
Answer:
iba nalang
Step-by-step explanation:
just tell someting wag yan
1. -
2. ×
3.÷
i guess these r the answers
To make a shade of paint called jasper green, mix 4 quarts of green paint with 2/3 cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?
Answer:
24 quarts of green paint
A particular computer takes 11 minutes to download a 33-minute TV show. How long will it take the computer to download a 2-hour movie?
Answer:
42 minutes because i add 33min and 1/2 hours together and got 42
Step-by-step explanation:
42 minutes because i add 33min and 1/2 hours together and got 42
Answer:
40 minutes
Step-by-step explanation:
120 minutes = 2 hrs
120/33 = 3.636363636363....
and 3.6363636363.... x 11 minutes = 40 minutes
Which statement correctly compares the angles?
Angle G is congruent to angle P.
Angle G is smaller than angle P.
Angle G is larger than angle P.
Angle G is congruent to angle N.
Answer:
its B
Step-by-step explanation:
well...you can see it XD
Answer:
Yepp B is correct on Edge
Step-by-step explanation:
The graph shows the average speed of Car 1 which is traveling on a highway. The equation y= 55x represents the average speed of Car 2, where y is the distance in miles and x is the time in hours. Which car is traveling at the greater speed?
Answer:
Car 1 is traveling faster than Car 2. Car 1 is traveling at a speed of 64 miles per hour and Car 2 is traveling at a speed of 55 miles per hour.
y-8= 4(x-10
...............
Answer:
y=mx+b
y=4x-32
Answer:
y=23
Step-by-step explanation:
%50 POINTZ Which set of statements explains how to plot a point at the location (Negative 2.5, 3.75)?
Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units down because they-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units up because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units left because the y-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units right because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.
Answer:
Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.
Step-by-step explanation:
Look at the picture.
(x ; y)
x < 0 - move x units left
x > 0 - move x units right
y < 0 - move y units down
y > 0 - move y units up
Answer:
answer is A
Step-by-step explanation:
your welcome :)
Which pair of functions are inverse functions
Answer:
3rd one is inverse functions
the length of a rectangle is 8 units greater than its width . find the dimensions when its area is 105 square units.
I hope this helps ;)