Answer:
top=3, middle=2, bottom= 1
Step-by-step explanation:
Solving Logarithmic Equations
不
Identify the solution set of 3 In 4 = 2 In x.
o {6}
O {-8, 8}
o {8}
DONE
(8)
Answer:
Step-by-step explanation:
3ln(4) = 2ln(x)
ln(4³) = ln(x²)
4³ = x²
(2²)³ = x²
2⁶ = x²
x = ±√2⁶ = ±2³ = ±8
However, the argument of a logarithm must be positive, so x=8.
The solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}. Option D is correct.
To solve the equation, we can use the logarithmic identity that states:
n * log(a) = log(aⁿ)
Using this identity, we can rewrite the equation as:
In(4³) = In(x²)
Simplifying both sides using the natural logarithm properties, we get:
In(64) = In(x²)
Taking the exponential of both sides, we have:
[tex]e^{In 64} = e^{In x^2}\\64 = x^2[/tex]
Taking the square root of both sides, we get:
x = ±8
However, we must check if either of these solutions makes the argument of the natural logarithm negative, which is not allowed. Since the argument of the natural logarithm is positive for both x = 8 and x = -8, both solutions are valid.
Therefore, the solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}.
Learn more about logarithmic function here:
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Of the last 6 trains to arrive at Norwood Station, 3 were on
time. What is the experimental probability that the next train
to arrive will be on time?
write the answer as a decimal rounded to the nearest tenth
Answer:
5/6 chance
Step-by-step explanation:
In ABCD, BC = DB and m B = 62°. Find m D.
Answer:
59 degrees
Step-by-step explanation:
180-62=118
118/2=59
A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the tournament.
Answer:
d x 15=total players.
Step-by-step explanation:
dx15=total number of players in the tournament.
Answer:
15d
Step-by-step explanation:
If there are d teams and 15 people in each team d x 15 = 15d
Explain how you would find 90% of 120 will give brainliest if correct
What is the area of the image below?
I will mark brainliest!!!
Answer:
116 square cm
Step-by-step explanation:
Find the area of each shape
7*10=70
4*4=16
1/2(15)*4=30
70+16+30=116
find the mean of the given data. 147 141 120 124 128
Ted has the following triangle dimensions.
side length of 8
side length of 14
side length of 23
How many triangles can he construct?
He can construct only one triangle.
He can construct two triangles.
He can construct three triangles.
He cannot construct a triangle.
Answer:
He cannot construct a triangle
Step-by-step explanation:
In order to construct a triangle the two shorter sides added together have to be greater than the longest side if that makes sense
So basically 8+14 has to be greater than 23 in order for it to be side lengths of a triangle
8+14=22
22 is not greater than 23 therefore he cannot create a triangle
AnsweFREE 50 POINTS FOR MEEE
Step-by-step explanation:
its D :)
The table summarizes data about the median debt for
graduating students from a sample of universities in two
states, California and New York
median debt less than
$9.000
median debt at least
$9.000
total
California
universities
130
445
575
shoe preference
New York
universities
271
343
total
202
716
918
concludes that
so possible
ation between
d shoe
ence is Jada's
sion reasonable?
n your reasoning
Is there an association between the state and the amount
of median debt for graduates? Explain your reasoning.
Answer:
No
Step-by-step explanation:
There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.
hey I'm chloe can you help me, i will give Brainlest, Thank you :)
Cylender A has a radius of 4 inches and height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of cylinder B if both cylinders have the same volume?
Answer:
Cylinder B: The height would be 8 inches.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
V = A * h
CA = 4² = 16 * 2 = 32π
CB = 2² = 4 * 8 = 32π
Find the exact value of cos0. Express your answer as a fraction.
Trigonometric Functions -
[tex] \cos = \frac{adjacent}{hypotenuse} [/tex]
Find the opposite side, first of all.
Pythagorean Theorem -
[tex]a^{2} + b^{2} = c^{2} [/tex]
Input the hypotenuse and opposite sides to find b^2.
[tex]49 + {b}^{2} = 64[/tex]
Minus 49 from equations to get b^2 by itself.
[tex] {b}^{2} = 15[/tex]
Square root b^2 and 15 to get b by itself.
[tex]b = \sqrt{15} [/tex]
Now we can get to the trigonometry functioms!
[tex] \frac{ \sqrt{15} }{8} [/tex]
Divide them up, then find the percentage!
48% or...
[tex] \frac{ \sqrt{15} }{8} [/tex]
complete the square to solve 3x^2+12x=9
A. x=3+√6
B. x=2+√7
C. x=-2+√7
D. x=-2+√13
Step-by-step explanation:
3 {x}^{2} + 12x - 9 = 0
[tex] \frac{ - (12) \binom{ + }{ - } \sqrt{ {12}^{2} - 4(3)( - 9)} }{2(3)} [/tex]
can someone please Solve this equation for me 2x – 3 = 9
Answer:
x=6
Step-by-step explanation:
Hello There!
Our whole objective is to isolate the variable (x) by using inverse operations
2x-3=9
to get rid of the -3 we add 3
Remember whatever we do to one side we have to do to the other side so we add 3 to each side
-3+3 cancels out
9+3=12
now we have
12=2x
now to get rid of the 2 we divide by 2
so we divide each side by 2
2x/2=x
12/2=6
we´re left with
x=6
hi what’s the answer to this question
Answer:
yes, x and y are in a proportional relationship
Step-by-step explanation:
The relationship is proportional if the graph is a straight line through the origin. This graph is, so the relationship is proportional.
For each fraction, select the most appropriate estimate. 36 40 choose.. 1 3 choose.. 70 100 choose.. 1 8 choose.. Options: Closest to 0 Closest to one half Closest to 1
Answer:
Convert each fraction to its percentage form:
= 36 / 40
= 90%
= 1/3
= 33.3%
= 70/100
= 70%
= 1 / 8
= 12.5%
Looking at the percentages:
= 36 / 40 is closest to 1.
= 1/3 and 70/100 are closest to one half which is 50%
= 1/8 is closest to 0.
Kim was sitting in row 5, seat 8 at a soccer game when she discovered her ticket was for row 2, seat 3. Write a rule to describe the translation needed to put her in the proper seat.
Answer:
Step-by-step explanation:
We can assume we are seeing these seats as points on a graph with her current position being (8, 5) and her destination being (3, 2). Using these values Kim would need to follow the following rules...
Move 3 positions down to point/seat (8, 2)
Move 5 positions to the left to point/seat (3,2)
Following these instructions, she would correctly transition to the correct seat.
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer:
angle U ( the third option down)
Step-by-step explanation:
find the value of x3-1 if x= 0, 1,-1
Step-by-step explanation:
Given
x³ - 1
When x = 0
0³ - 1 = - 1When x = 1
1³ - 1 = 0when x = - 1
( -1)³ - 1 = - 2Hope it will help :)❤
please help me with this and explain. It’s due in a bit :/
Answer:
choice D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
they have similar angles and similar sides, and the description choice D gives is also correct
how do you prove something as a parallelogram?
4 points
4.) How could we determine who has the greater total change in the
amount of juice in their carton?
Felicia pours juice from a carton into a glass. Every time she fills the glass, the
amount of juice in the carton changes by -0.44 L. She fills her glass 2 times in
all. Bernadette has a different carton of juice that is the same size. Every time she
fills her glass, the amount of juice in her carton changes by -0.42 L. She fills her
glass 2 times in all. Who has
the greater total change in the amount of juice in
their carton?
A. 2 3/4 multiplied by (-0.44) and 2 2/3 multiplied by (-0.42)
B. 2 3/4 divided by -0.44 and 2 2/3 divided by -0.42
Answer:
A is the answer you sent on the question on carton
Find the total surface area of a cuboid whose length,breadth,and height are 9cm,7cm,and 4cm respectively.pls help me guys.and I will make you brainliest.it is not false I am saying true
Answer:
length=9 cm breadth=7cm height=4cm area of a cubid=: we know that area of a cuboid= 252
Answer:
254
Step-by-step explanation:
Length : a
Width : b
Height : c
Surface : s
s = 2(ab + bc + ca)
s = 2(9x7 + 7x4 + 4x9)
s = 2(63 + 28 + 36)
s = 2(127)
s = 2 x 127
s = 254
Ruben adds some water to a glass of juice. The ratio of water to juice in his glass in now 4:6. Which fraction below represents this ratio? A 3/5 C 2/3 B 3/2 D 2/5
Answer:
C
Step-by-step explanation:
since we're being told to convert the ratio to fraction then it is C. note that 4 ratio is also the same as dividing 4 by 6
A rectangle has a length of 7 cm and a width of (3x+4)cm. Which expression represents the perimeter?
Answer:
2{7 + (3x + 4)} represents the perimeter of the rectangle
An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
62,118
Step-by-step explanation:
Let one angle = x
So, other angle = x +56
x +x +56 = 180 {Combine like terms}
2x + 5 6 = 180 {Subtract 56 form both sides}
2x = 180 - 56
2x = 124 {Divide both sides by 2}
x = 124/2
x = 62
Other angle = 62 + 56 = 118
Justin's pay is represented by this line graph.
Pay (dollars)
300
280
260
240
220
200
180
160
140
120
100
80
60
40+
20+
0
10 20 30 40
Time Worked (hours)
How much is Justin paid for one hour of work?
$6.50
$7.50
$8.00
make p the subject of the formula A=p+prt÷100
Answer:
p = a - prt x 100
Step-by-step explanation:
a = p + prt ÷ 100
a - prt = p ÷ 100
a - prt x 100 = p
Hope this helps. :)
HIII !! I NEED HELPPP LIKE NOWW !! :)
(just #19)
Roland bought 6 tickets for him and his family to attend the high school basketball game. He bought a combination of student tickets for $3 each and adult tickets for $5 each. If he spent a total of $24 on the tickets, which system of equations could be used to find the number of student tickets, x, and the number of adult tickets, y, he bought?
Answer:
RM 21 for student and for adults
What is the area of rectangle CDEF?ILL GIVE BRAINLIEST
Answer:
180 is the answer
Step-by-step explanation:
To find out areas of rectangles, you have to count the left side of the rectangle which is (12) and then count the bottom of the rectangle which is (15)
Then multiply 12 times 15 to find out the area
15 x 12= 180
what do you mean CDEF
and can I get brainliest?