The equations best verifies the reasonableness of the solution will be log₃ 2187 = 7 and log₃ (3⁷) = 7. Then the correct options are A and E.
What is a logarithm?Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The equation is given below.
log₃ x = 7
Take anti-log on both side, then we have
x = 3⁷
x = 2187
Then the equation is satisfied by 2187. Then we have
log₃ 2187 = 7
log₃ (3⁷) = 7
Then the correct options are A and E.
The complete question is attached below.
More about the logarithm link is given below.
https://brainly.com/question/7302008
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A regular heptagon has a side of approximately 6.0 yd and an apothem of approximately 6.2 yd.
Find the area of the heptagon.
Answer:
130.2 yd²
Step-by-step explanation:
Area of polygon using the length of the side, s, the apothem, a, and the number of sides, n.
A = san/2
A = (6.0 yd)(6.2 yd)(7)/2
A = 130.2 yd²
Given a
rectangle of area 18x2 - 42x, the length is 6x, determine the width. HELP
List a positive and negative number whose absolute value is greater than 3 justify your answer using the answer using the number line
Hiiiooo!! Can someone please help me ❤️❤️❤️
Answer:
8
Step-by-step explanation:
40 ÷ 5 = 8
56 ÷ 7 = 8
so then just divide 64 by the one we know, which is 8
64 ÷ 8 = 8
t-8=14??? I’m literally annihilating✋
Answer:
t=22
Step-by-step explanation:
just add 8 on both sides
Easy Math question that I dont get. pleaseeee help.
It is due in 5 minutes
Answer:
First, Third, Fourth, Fifth
Step-by-step explanation:
x² + 2x - 24 = (x + 6)(x - 4) = x² - 4x + 6x - 24 = x² + 2x - 24
True.
x² - 8x + 15 = (x + 5)(x +3) = x² + 3x + 5x + 15 = x² + 8x + 15
False.
3x² + 4x + 1 = (3x + 1)(x + 1) = 3x² + 3x + x + 1 = 3x² + 4x + 1
True.
5x² - 2x - 3 = (5x + 3)(x - 1) = 5x² - 5x + 3x - 3 = 5x² - 2x - 3
True.
4x² - 49 = (2x - 7)(2x + 7) = 4x² + 14x - 14x - 49 = 4x² - 49
True.
First, Third, Fourth, Fifth
Which point is located on the x-axis?
A
B
C
D
Convierte los números decimales a fracciones decimales, comunes o números mixtos, según sea el caso
A sign says that the price marked on all music equipment is 30% off the original price. You buy an electric guitar for the sale price of $315.
Answer:
figure it out
Step-by-step explanation:
Answer:10 dollars and 50 cents
Step-by-step explanation:315 divided by 30
Evaluate the following equation for x. 2/5x = −20
Drive 288 miles on 16 gallons
of gas. ( help?)
The question you may be trying to ask is "A car can travel 288 miles on a full tank of gas. The gas tank holds 16 gallons. How many miles per gallon does the car get?"
Answer:
The car gets 18 gallons per mile.
288 / 16 = 18
I need help with all of them
Answer:
Question 3: (D) All real numbers. Question 4: (B) y > 3.
I don't understand this
Answer:
[tex]m = 3 \sqrt{12} [/tex]
[tex]n = 6[/tex]
Step-by-step explanation:
n=1/2 of 12 according to the rule:
right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
so n=12/2=6
and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
so
[tex] {m}^{2} + {n}^{2} = {12}^{2} [/tex]
now lets put numbers on formula
[tex] {m}^{2} + {6}^{2} = {12}^{2} [/tex]
from this formula m=
[tex]m = \sqrt{ {12}^{2} - {6}^{2} } = \sqrt{144 - 36} = \sqrt{108} = 3 \sqrt{12} [/tex]
Find the value of x. in the below given diagram.
Answer:5,8
Step-by-step explanation:
x^2= 3^2 + 5^2
x^2= 9 + 25
x^2= 34
x = (square root)34
x= 5,8
Answer:
x = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )
x = [tex]\sqrt{34}[/tex] ← exact value
x ≈ 5.83 ( to 2 dec. places )
ASAP! Please, Thank you.
Answer:
x\left(5-2\right)=4x-x ------> no solutions
14x-17-8x+2=12x+3-x-10 -----> unique solution
6\left(x-2\right)=6x-12 -------> no solutions
\frac{2}{3}x-\frac{7}{4}=\frac{4}{3}x-\frac{2}{3}\left(x+5\right) ------> infinite solutions
Step-by-step explanation:
A person walks 13 mile in 19 hour.
The person's speed is ____ miles per
Answer:
0.68
Step-by-step explanation:
miles=13
hour=19
Now,
Speed=Velocity/Time Taken
=13/19
=0.6842miles/hour
Solve for 3x^2-10x+8=0
(SHOW YOUR WORK)QUICKLY
Answer:
Step-by-step explanation:
Step 1: Factor left side of equation.
(3x−4)(x−2)=0
Step 2: Set factors equal to 0.
3x−4=0 or x−2=0
Answer:
x= 4 /3 or x=2
Answer:
5/3 +/- 1/3
or
x= 2
or
x= 1 /3
Step-by-step explanation:
plug all of the numbers into the formula attached,
the first coefficient is a, the second is b, and the last is c
So a=3 b=-10 and c=8
area of a circle with a diameter of 4cm
Answer:
A≈12.57cm²
Step-by-step explanation:
A=1
4πd2=1
4·π·42≈12.56637cm²
Answer:
area of a circle with a diameter of 4cm=π(d/2)²
=π(4/2)²=π2²=4π cm ² is your answer or 4×3.16=12.48 cm²
The sum or three consecutive odd numbers is 51. Find the numbers
Answer:
let the three no. be x, x+2, x+4
so, x+x+2+x+4= 51
3x+6= 51
3x=45
x=15
hence the required numbers are
x=15
x+2= 17
x+4=19
Solve for x by factoring: x^2-30x+200=0
Answer:
x=20,10
Step-by-step explanation:
Tyler tried to solve an equation step by step
3(x +4)=-18
Answer:
x = -10
3(x + 4) = -18
3x + 12 = -18
3x + 12 = -18
3x = -18-12
3x = -30
x= -30/3
x = -10
Step-by-step explanation:
[tex]3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]
Jeff and Marcia own a llama farm. On their farm, they have 240 llamas.
Each llama they sell earns them a $325.00 profit. If they were to sell 3/5 (three-fifths) of their
llamas, how much total profit would they make?
Show your work.
A. $31,200.00
B. $46,800.00
C. $62,400.00
D. $78,000.00
Answer:
$46,800
Step-by-step explanation:
3/5 of 240 is 144
144*325 is 46,800
Answer:
b3/5of240 is144thentimesby325.00
What is the total surface area??? HELP IM CONFUSED
Answer:
bottom: 12 x 12 = 144
1st triangle: (12 x 8)/2 = 48
2nd triangle: 48
3rd triangle: 48
4th triangle: 48
144 + 48 + 48 + 48 + 48 = 336 cm squared
Ok can someone please help me? i really need help and no one will help me, its easy middle school math
Answer:
Step-by-step explanation:
7) A
8) D
9) B
10) A
Help Please 5 Stars and brainliest
The results of a study exhibit response bias. Select the statement that best describes the bias in the study. *
OThere were not enough subjects who chose to respond to a survey that was sent as part of the study.
O The interviewer for the study was the boss of the subjects.
O The interviewer for the study did not record the responses of the subjects accurately.
O There was a significant amount of people who declined to participate in the study.
Answer:
the last one
Answer:
the answer is c
Step-by-step explanation:
Solve liner equation for they variable
3x-5(x+6)=-2x-2(5+10)
Answer:
all numbers
Step-by-step explanation:
3x - 5(x + 6) = -2x -2(5 + 10)
Distribute on both sides.
3x - 5x - 30 = -2x - 10 - 20
Add 2x to both sides.
-2x - 30 = -2x - 30
-30 = -30
Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.
Answer: all numbers
Is 4/5 greater or less than 45/100 how do you know
Answer:
4/5 is grater than 45/100
Step-by-step explanation:
Why?
because in percentage you make the bottom # a 100 one of them already has that and when it has 100 on the bottom it tells you that the top # is the percentage so 45/100 is 45%
now to make 4/5 a percentage what times 5 = 100?
20 does
so you times the top and bottom by 20
4*20= 80
now your fraction is 80/100 (top # tells you the %)
it's 80%
80% is grater than 45%
Answer:
4/5 is greater than 45/100.
Step-by-step explanation:
In order to figure it out, you need to make both fractions have common denominators. In order to do that, you figure out this:
5 times what equals 100? It's 20.
With fractions in this situation, whatever you do to the top, you have to do to the bottom. So, you multiply 4 times 20, which is 80.
In the end, you would end up with these two fractions:
80/100 and 45/100.
Obviously, 80/100 is greater than 45/100. In the beginning, 80/100 was originally 4/5. Therefore, 4/5 is greater than 45/100.
Please consider giving me brainliest if this helped you! :)
HELP PLEASE 50 POINTS!!!!!!!!!!!!!!!
Solve
y=-3x+13
y=-2x+1
Enter your answer as an ordered pair (x, y).
Please help.
Algebra.
Answer: m= -1/2
Step-by-step explanation:
Hope the gif loads to help you but if not thats the answer.
Parker has $2,500 in her bank account that earns 3.8% interest annually. How much money will she have in her bank account after 4 years?
Answer:
$2,860
Step-by-step explanation:
2,500 * 3.8% = 90 in interest a year
so
90 * 4 = 360 in interest
add that to what she put in
2,860
Answer:
2880
Step-by-step explanation:
2,500divide100=25x3.8=380
2500+380