50 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
Answers
Michio's answer not correct. He made a mistake when he was trying to convert the equation to logarithmic form. The right answer is 2.57
What is the right way Michio could have converted to logarithmic form?Looking at the equation 2(3)ˣ = 34, the best way to convert to logarithm is by isolating x.
we divide 2(3)ˣ = 34 by 2 on both side.
= (3)ˣ = 17
In logarithm form 3 becomes the base of the log
x = log₃(17)
x= 2.578
The answer above is based on the information seen in the picture.
Michio wanted to find the value of x in the equation 2(3)ˣ = 34. He first converted the equation to log₃2x = 17. Next, he wrote 2x = 3¹⁷ and used a calculator to find x = 64,570,081.5. Was his answer correct? If not, what was his mistake and what is the right answer? Justify your answer.
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Related Questions
the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
Answers
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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A bag contains 10 marbles: 2 are green, 4 are red, and 4 are blue. Tammy chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue?
Answers
The probability of her picking a blue marble is 4/10
This can be simplified to 2/5
Find the circumference and area of a circle with a diameter of 6m. Leave you answers in terms of π.
Circumference:
Area: 9π
(Personal Note- I figured out the area it is 9π)
Answers
Answer:
6π
Step-by-step explanation:
Diameter = 6
Radius = Diameter/2 = 6/2 = 3
Circumference = 2(π)(r) = 2(π)(3) = 6π
Tom had some blocks that were all the same size and shape. He used two of them to make this regular hexagon He placed six more blocks around this hexagon to make a bigger regular hexagon
How many more blocks does he need to place around this shape to make the next bigger regular hexagon?
(A) 6
(B) 10
(C) 12
(D) 18
Answers
Answer:
Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...
Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
Answers
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
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. A cocoa blender makes a profit of 30% be selling a super mix cocoa at Kshs.650 for 250 grams tin. He makes a super mix cocoa by blending two varieties of cocoa., A and which cost him Kshs. 1 800 and Kshs.2 400 per kg respectively. B In what proportion the cocoa types A and B mixed? were (3 marks)
Answers
Answer:
The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.
The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.
If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).
Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.
Solving for x, we get x=2/3.
Therefore, the cocoa types A and B are mixed in the proportion 2:1.
SHARE 300 USING 2:3:5
Answers
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
Divide.
(−2030)÷1820
What is the quotient?
Answers
Answer:
-1.11538461538
Step-by-step explanation:
Answer:
The Answer would be -2027
Step-by-step explanation:
I did the test and it was right enjoy.
Find the domain and range of the function f(x) = sqrt(2 - x - x ^ 2) .
Answers
Answer:
See belowStep-by-step explanation:
Given function:
\(f(x) = \sqrt{2 - x - x ^ 2}\)As any square root function, its range is all non-negative numbers:
f(x) ≥ 0 or f(x) ∈ [0, +∞)The domain the x values when the expression under root is non-negative:
2 - x - x² ≥ 0x² + x - 2 ≤ 0(x + 2)(x - 1) ≤ 0- 2 ≤ x ≤ 1or
x∈ [-2, 1]Let A = {1, 2, 6, 7, 10} and B = {1, 6, 8}. Indicate if each statement is true or false.
6
∈
A
true or false
B
⊂
A
True or False
Answers
Answer:
6 ∈ A : True
B ⊂ A : False
Step-by-step explanation:
We have the two sets:
A = {1, 2, 6, 7, 10}
B = {1, 6, 8}.
6 ∈ A means 6 is an element of the set A. This is True since 6 is indeed an element of A
B ⊂ A means set B is a proper subset of A.
This means every element of set B is an element of set A but the number of elements in B is less than the number of elements in A.
This is False. While 1 and 6 which are elements of B are also elements of A, 8 in set B is not present in set A
In terms of set theory, 6 is an element of set A (6∈A), making the statement true. However, B is not a subset of A (B⊂A) because not all elements of B are in A, making this statement false.
Explanation:The statements pertain to the concept of set theory in mathematics. The symbol '∈' means 'is an element of', so the statement '6∈A' is asking if 6 is an element of set A. In this case, it's true because 6 is indeed in the set A = {1, 2, 6, 7, 10}.
The '⊂' symbol means 'is a subset of'. So, the statement 'B⊂A' is asking if set B is a subset of set A. A subset is defined as a set in which every element is also an element of the other set. Looking at the sets A and B, not every element of B exists in A (specifically, 8 isn't found in A). So, this statement is false.
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-6w + 9p for w = -3 and p=5
Answers
Answer:
63
Step-by-step explanation:
-6w + 9p
w = -3 and p = 5
plug in values
-6(-3) + 9(5)
multiply -6 and -3 and 9 and 5
18 + 45
add 18 and 45
= 63
Hey there!
-6w + 9p
= -6(-3) + 9(5)
= 6(3) + 9(5)
= 18 + 45
= 63
Therefore, your answer is: 63
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find 5(-12). Thanks I just needed help real quick
Answers
Answer:
-60 ? At least that's if you meant like
\(5 \times ( - 12) = - 60\)
Answer:
Cannot simplify As a decimal 0.41.6 Explanation: 512 does not cancel down
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
HIK and GFD,
Step-by-step explanation:
Please help with this pls
Answers
Answer:
Step-by-step explanation:
its c
if it takes 6 men 25 hours to dig 5 holes, how many hours does it take to dig 5 holes with 10 men
Answers
Answer: Answer is 15 hours
Step-by-step explanation:Given 6 men dig 5 holes in 25 hours
Therefore 10 men will take to dig 5 holes is
workers(1) × time(1) = workers(2)×time(2)
(This formula is used when Total work is same)
where workers(1)= 6 men
Time (1) = 25 hours
workers (2) = 10 men
We have find out Time(2)=T(2)
by applying above formula
6×25=10×T2
after simplify
T2= 15 hours
If u(x) = −2x² +3 and v(x)=1/x, what is the range of (uv)(x)?
Answers
Given:
\(\begin{gathered} u(x)=-2x^2+3 \\ v(x)=\frac{1}{x} \end{gathered}\)Required:
To find the range of the function (uv)(x).
Explanation:
We know that
\(\begin{gathered} (uv)(x)=u(v(x)) \\ \\ =u(\frac{1}{x}) \\ \\ =-2(\frac{1}{x^2})+3 \\ \\ =-\frac{2}{x^2}+3 \end{gathered}\)The horizontal asymptote of this function is at y=3.
So, the range of this function is from
\((-\infty,3)\)Final Answer:
The range of (uv)(x) is
\((-\infty,3)\)Please help
A 136
B 208
C 352
D 576
Answers
Answer im not in grade
Step-by-step explanation:
What is 5x-10=20 solve for x
Answers
Answer:
x=6
Step-by-step explanation:
5x-10=20
5x=20+10
5x=30
x=6
Answer:
x - 6
Step-by-step explanation:
To solve the given equation for x, isolate the 5x term on the left: Add 10 to boths sides. We get:
5x = 30
which yields
x = 6
Jada has a recipe for yellow cake. She uses 9 1/3 cups of flour to make 4 cakes. Andre will follow the same recipe. He will make c cakes using F cups of flour. Which of these equations represents the relationship between C and F?
A. c=16/3 F
B.c=3/16 F
C. c=3/7 F
D.c=7/3 F
Answers
Therefore, the equation that represents the relationship between C and F is c = 7/3 F
What equation of number would that be?The meaning of an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are split by the 'equal' symbol.
Clare must use 9 containers, each of which has a 1/3 portion filled with flour to make 4 pastries.
So, Andre's recipe will have the same ratio of cups of flour per cake:
We can set up the proportion as follows:
F cups / c cakes = (9 ×1/3 cups) / 4 cakes
To solve for C, we can multiply both sides by c:
9× 1/3 cups / 4 cakes * c cakes = F cups
Multiplying the left side gives:
(28/3) * (c/4) = F
Simplifying:
7c/3 = F
Therefore, the equation that represents the relationship between C and F is c = 7/3 F
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A bus holds 39 passengers. How many buses will 420 people need
Answers
Answer:
11 buses
Step-by-step explanation:
Work out the area of this cuboid 7.5cm 2.3 cm and 5cm
Answers
Answer:
Below
Step-by-step explanation:
Area if cuboid =2(l*b+b*h+h*l)
= 2(7.5*5+5*2.3+2.3*7.5)
=2(37.5+11.5+17.25)
=2(66.25)
=103.75cm^3
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Matthew has 8.2 meters of wire. He uses 3.65 meters for craft project. He wants to use the wire he left to complete one of the following projects. For which of the projects does he have enough wire? Choose all the correct answers.
Answers
He can make another project and still have 0.90 m of wire left.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Matthew has 8.2 meters of wire.
He uses 3.65 meters for the craft project.
Now, He wants to use the wire he left to complete one of the following projects.
The left wire is 8.2-3.65 = 4.55 m
So he can make another project and still have 0.90 m of wire left.
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The quotient of a number and 14 is 8. Find the number.
Answers
Answer:
The number is 112
Step-by-step explanation:
Let the number be 'x'
\(\sf \dfrac{x}{14}=8\\\\\text{Multiply both sides by 14}\\\\ \dfrac{x}{14}*14=8*14\\\\\)
x = 112Answer:
112
Step-by-step explanation:
Take the missing number as x.
Then the required value of x will be,
→ x ÷ 14 = 8
→ x = 8 × 14
→ [ x = 112 ]
Hence, the missing number is 112.
Each side of a square is increased by 10%
By what percentage is the area increased?
Answers
Answer:
21%
Step-by-step explanation:
If it is correct pls mark me as brainliest and learn we
A botanical garden contains several cube-shaped planters. One planter
holds a tree and has a volume of 2 to the power of 7 cubic feet. Another planter holds a
small shrub and has a volume of 2 to the power of 4 cubic feet. How many times larger is the
volume of planter with the tree than the volume of planter with the shrub?
Answers
Answer:
hmmmmmmmmmmmmmmmmmmmm
Example : Identify the amount of Xs to Os: XXOXO
Answer is 3:2
Type the ratio which matches its corresponding image set below.
Compare the number of
to
Answers
--- 3 to 2 (3:2) ---
Which set of numbers shows all the factors of 18?
A.1,3,6, 18
B.9, 18, 27, 36
C.1, 2, 3, 6, 9, 18
D.18, 36, 54, 72, 90
Answers
Answer:
C
Step-by-step explanation:
1*18 2*9 3*6
10 points. please answer
Answers
The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°
What are similar triangles?Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.
From the diagram shown:
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
20 + 105 + ∠Z = 180
∠Z = 55°
Since triangle XYZ and triangle GHI are similar, hence:
∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°
The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°
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The equation C=24n+2 represents the cost
Answers
Jim did not buy any tickets (n_Jim = 0).
Larry bought 7 more tickets than Jim.
To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.
For Larry:
Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:
$170 = 24n + 2
Subtracting 2 from both sides:
$168 = 24n
Dividing both sides by 24:
n = 7
For Jim:
We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:
n_Jim = n_Larry - 12
n_Jim = 7 - 12
n_Jim = -5
Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).
To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:
n_difference = n_Larry - n_Jim
n_difference = 7 - 0
n_difference = 7
Therefore, Larry bought 7 more tickets than Jim.
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Question
The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12