Use log 2=a, log 3=b to evaluate log 216
Answers
Answer:
answer = 3(a +b)
Step-by-step explanation:
\( log(2) = a \: log(3) = b \: \: \\ log(216) = log(2 \times 2 \times 2 \times 3 \times 3 \times 3) \\ = log( {2}^{3} \times {3}^{3} ) \\ = log(2^{3} ) + log( {3}^{3} ) \\ = 3 log(2) + 3 log(3) \\ = 3(a) + 3(b) \\ = 3(a + b) \\ \\ log(216) = 3(a + b)\)
Related Questions
Is (5, 1) a solution to this system of equations? x + 15y = 9 20x + 7y = 20
Answers
Answer:
No, I got this answer when I did it:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 237 /293 , 160 /293 )
Equation Form:
x = 237/ 293 ,
y = 160 /293
Step-by-step explanation:
Hope this helps! Have a nice day!
Solve for s. 12 > -68 - s
Answers
Answer:
s>-80
Step-by-step explanation:
12> -68 - s
12> -s -68
add 68 to both sides
12+68 > -s -68+68
s> -80
12+68>(-s-68)+68
s= -80,♾️
The future population of a small european country of 14 million people
Answers
Answer:
123fffdew2rfgg
Step-by-step explanation:
ggewrffd
Solve for x: −2x + 5 < 7
A:) x > −1
B:) x < −1
C:) x > −6
D:) x < −6
Please answer ASAP :]
Answers
Answer: A
Step-by-step explanation:
please
\(2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 \)
I need help
Answers
![please [tex]2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 [/tex]I need help](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/0X88LdBuMwIAUWxByc8exEH7JSTCTQBj.png)
Find the root of the function f(x)=−4x+1.
Answers
Answer: A
Step-by-step explanation:
\(-\frac{4}{x}+1=0\\\\1=\frac{4}{x}\\\\x=4\)
You and your client are reviewing a section of pipe on a construction plan. The client says the pipe length is 7 feet 5 1/8 inches. You need to write the pipe length on the plan as a decimal number of feet rounded to the nearest 0.01 foot. What decimal number u write on the plan?
Answers
The length of section of pipe on the construction plan on conversion of units from feet to inches, 7 feet 5 1/8 inches will be 7.427 feet. On rounding off to the two places after decimal the length will be 7.43 feet.
How do we convert feet to inches or vice versa?We know that 1 foot = 12 inches. In order to convert feet into inches we'll multiply the given number by 12. Similarly to convert given inches to feet, we'll divide the given number by 12.
Here the length of pipe= 7 feet 5 1/8 inches
To convert 5 1/8 inches to feet: Divide by 12 {1 foot =12 inches}
=\(\frac{41}{8\\}\) ÷ 12
=\(\frac{41}{8}\) × \(\frac{1}{12\\}\)
5 1/8 inches =\(\frac{41}{96\\}\) feet
Now, 7 feet 5 1/8 inches = 7 feet + \(\frac{41}{96} \\\) feet
= 7 feet + 0.4270 feet
=7.4270 feet
=7.43 feet
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If (5,-4) is a point on f(x), write an ordered pair that must be on the graph of y=f(x-2)-3
I already tried plugging 5 and -4 in for x, but that didn't work.
Answers
Answer:
(3,0)
Step-by-step explanation:
x - 2
5 - 2 = 3
3 would be our x value or our input value.
When the input is 3, the output is
3 - 3 = 0
This gives us the ordered pair
(3,0)
1
Select the correct answer
which set of numerical values represents the minimum lower quartile, median, upper quartile, and maximum, in that order, of the box plot of
this data set
51.51.53 53 54 55 55 56 58 58 58. 59.60
51.54 56 58 60
51.53 56 59 60
C 53 54 55.59.60
51.53.55. 58. 60
Answers
The mass of a typical comet is about 1 x 10¹3 kg, while the mass of a typical asteroid is about 3 x 10¹⁹ kg.
Approximately how many times the mass of a typical comet is the mass of a typical asteroid?
100,000 times
300,000 times
1,000,000 times
O 3,000,000 times
Answers
The mass of the typical comet is 3,000,000 times the mass of a typical asteroid which is the fourth option among the given options.
It is given in the question that:-
Mass of a typical comet = \(1*10^{13}kg\)
Mass of a typical asteroid = \(3*10^{19}kg\)
We have to find the how many times the mass of a typical comet is the mass of a typical asteroid.
Mass of a typical asteroid/ Mass of a typical comet is given by:-
\(\frac{3*10^{19}}{1*10^{13}}=3*10^6\)
We can write \(3*10^6\) as 3,000,000.
Hence, the mass of the typical comet is 3,000,000 times the mass of a typical asteroid which is the fourth option among the given options.
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Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answers
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
After watching baking shows on T.V., Angie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Angie puts 4 sugar flowers on each cupcake. In all, Angie puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Angie decorates?
Solve this equation for c to find the number of cupcakes Angie decorates.
Answers
Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.
To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.
4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.
To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8
Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8
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Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answers
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
The senior class at Legion Academy wants to buy jerseys to wear to the basketball games. The cost of
the jerseys can be modeled by the equation C=0 .1x² + 2.4x + 25, where C is the amount, it costs to buy x
jerseys. How many jerseys can they purchase for $430?
Answers
The number of jerseys that the senior class at Legion Academy can purchase for $430, using quadratic equation, is 190.
What is quadratic equation?Quadratic equation is an algebraic equation of the second degree in x, represented in the form of ax²+bx+c=0.
In the quadratic equation, a, b, and c are known values but a ≠ 0 and x is unknown.
Quadratic Equation Formula:x = [-b ± √b² - 4ac]/2a
when ax^2 + bx + c = 0
Equation Model:C = 0 .1x² + 2.4x + 25, where C is the amount, it costs to buy x jerseys.
Simplifying the equation, we get:
x = 0.2 − 2.4 ± 40.4
The two possible values of x are:
1) x = 0.2 − 2.4 + 40.4 = 190
or
2) x = 0.2 − 2.4 − 40.4 = −214
The value of x cannot be negative, therefore, the class bought 190 jerseys for $430.
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What is the value of x? Enter your answer in the box. ___ units
Answers
Answer:
x = 28
Step-by-step explanation:
Consider the two triangles ΔAPR and ΔCDR
We see that AP ║ CD
Therefore m∠PAR = m∠CR, m∠APR= m∠CDR
Angle ∠R is common to both triangles
So the triangles are similar
Therefore the ratios of the sides must be the same ratio
\(\dfrac{AR}{CR} = \dfrac{PR}{DR}\\\\\)
AR = x + 10
CR = x
PR = 42 + 15 = 57
DR = 42
PR = 42 + 15 = 57
Plugging in the values for these sides:
\(\dfrac{x + 10}{x} = \dfrac{57}{42}\\\)
Cross-multiplying we get
\(42(x + 10) = 57x\\\\42x + 420 = 57x\\\\420 = 57x - 42x = 15x\\\\15x = 420\\\\x = 420/15\\\\= 28\)
Select whether each of these factors was a reason for or against American neutrality. US trade with Europe was worth almost one billion dollars. for against Intro
________________________
Sunny ko behan mil gayi sonali ✨
Answers
The United States' decision to remain neutral was motivated by its over $1 billion in annual trade with Europe.
Why did American neutrality benefit from commerce with Europe?Early 20th-century American trade with Europe helped the US remain neutral by enabling it to maintain business ties with both the Allied and Central Powers.
The US was able to avoid taking a political stance and maintain its neutral status by supplying goods to both sides of the conflict. Additionally, trade helped the US maintain its economic stability because it would have been detrimental to the nation's economy to break off trade with one party.
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Please answer, will give 5 star.
Answers
Answer:
The first one
Step-by-step explanation:
She cant buy anything over $15, but she can buy something thats $15 :))
3 cm
3 cm
Surface Area
3 cm
=
[?] cm²
Entor
Answers
By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.
What is a 3 cm by 3 cm cube's surface area?The length of a side squared determines the area of one face. By multiplying the area of one face by six, 54 cm2 is obtained as the area of six faces.Six times the square of the cube's side length is the formula for surface area. It is represented by the number 6a2, where a represents the cube's side length. Basically, it is the whole amount of surface.Height + Breadth + Length equals a. As a result, an is the length of each cube edge. The volume of cube formula is thus a a a = a3.By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.
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Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle? Question 2 options: A) A cross section cut parallel with the bottom B) Cutting off one of the bottom corners C) A cut parallel to the vertical axis, directly through the vertical axis D) A cut parallel to the vertical axis, but off the vertical axis
Answers
A cut parallel to the vertical axis, directly through the vertical axis. Option C is correct.
What are axes?Axes for the figure are defined as the imaginary lines that toward which measurement of the figures are taken.
Here,
When cutting the pyramid through axis perpendicular axis to the vertical axis, the shape produced would be a quadrilateral. But when we cut the pyramid through the vertical axis it produces the triangle.
Thus, a cut parallels the vertical axis, directly through the vertical axis. Option C is correct.
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Please help me with this and fast!
Answers
Answer:
16
5
O
I think
Step-by-step explanation:
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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In which
situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf
Answers
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
What is expression?Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.
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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?
Peter had 208 Canadian stamps and 186 Mexican stamps for sale. The stamps were mixed up and sold in packets of 6. How many packets of stamps were there? How many stamps were left over?
Answers
Answer:
65 packets and 4 stamps
Step-by-step explanation:
The first thing we see is that the stamps are mixed... which means they must be added.
208 + 186 = 394 stamps total
Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.
394/6= 65.66667
Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.
Now we find the number of stamps left over by multiplying the number of packets by 6.
65 x 6= 390
Now we take the total number of stamps minus the number of stamps in packets.
394 - 390 = 4
Therefore, there are four stamps left over.
Hope this helps!
Tori rented a car and drove 325 miles. She decided to fill up the tank before returning the car to the rental company.
She put 11 gallons of gas in the car to fill the tank. She paid $2.85 per gallon for gas. The rental company would have
charged $3.50 per gallon to fill the tank. How much did she save by filling the tank herself?
O $3.50
O $0.65
O $7.15
$29.54
Answers
Answer:
C. $7.15
Step-by-step explanation:
3.5(11)= 38.5
2.85(11)= 31.35
38.5-31.35=7.15
evaluate 4(3-1)2
A. 128
B. 16
C.64
D.32
Answers
Answer:
B.16
Step-by-step explanation:
Answer:
B:16
Step-by-step explanation:
Always start in the brackets so
3-1=2 and since the numbers are right by the brackets you multiply
2x4=8 8x2=16
Need help on please
Answers
Answer:
12
Step-by-step explanation:
The figure is a right triangle with hypotenuse = QS
The base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)
The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)
Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides
QS² = 3² + 4² = 9 + 16 = 25
QS, the hypotenuse = √25 = 5
The perimeter = sum of the sides = 3 + 4 + 5 = 12 units
!!! ASAP! PLEASE ANSWER WILL GIVE A LOt OF POINTS AND MARK BRAINLIEST !!!!!
Answers
Answer:
80 minutes
35.2 km
Step-by-step explanation:
You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.
The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal
That means that
.44t = 35t + 7.2 Subtract 0.35t from both sides
0.44t - .35t = 7.2
0.09 t = 7.2 Divide
t = 7.2/0.09
t = 80 minutes
How far apart are they from the starting point?
d = 0.44t
d = 0.44 * 80
d = 35.2 km from the starting point.
PLEASE HELP ME !!!!!!!!
Answers
Answer:
6
Step-by-step explanation:
Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
Answers
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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Determine which of the following is true for the expression 2 x 2 + 12 x + 18.A. The expression is prime.
B. Two can be factored from each term in the trinomial to generate 2( x 2 + 6 x + 9), and no more factoring can be done.
C. Two can be factored from each term in the trinomial to generate 2(x 2 + 6 x + 9), and the resulting trinomial can be factored to generate 2( x + 3) 2 .
D. The trinomial 2 x 2 + 12 x + 18 is equivalent to (x + 3) 2 .
Answers
Answer:
B
Step-by-step explanation:
no more factoring can be done.
Answer: C
Step-by-step explanation: