Which graph shows the solution to the equation below?
log Subscript 3 Baseline x = log Subscript 0.5 Baseline x
On a coordinate plane, 2 curves intersect at (1, 0).
On a coordinate plane, a line intersects with a curve.
On a coordinate plane, a line with positive slope and a curve are shown.
On a coordinate plane, 2 hyperbolas are shown.
Answers
The graph that shows the solution is (a) On a coordinate plane, 2 curves intersect at (1, 0).
How to determine the graph that shows the solutionFrom the question, we have the following parameters that can be used in our computation:
log Subscript 3 Baseline x = log Subscript 0.5 Baseline x
Express properly
So, we have
log₃(x) = log₀.₅(x)
The above equation is a logarithmic equation
This can be split as follows
y = log₃(x)
y = log₀.₅(x)
Next, we plot the graph
See attachment for the graph
From the attached, we have
Solution = (1, 0)
This is represented by graph (a)
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Related Questions
The sum of two numbers, x and y, is 12. The difference of four times the larger number and two
times the smaller number is 18. Whích system of equations should you use to find the two
numbers?
O
A X-y=12
4x - 2y = 18
O B x + y = 12
X-y= 18
C x+y=12
2x - 4y = 18
D x + y = 12
4% - 2y = 18
Answers
Answer:
D
Step-by-step explanation:
"Sum" indicates that we add the two variables so we can eliminate option A because that has x - y = 12 not x + y = 12. We can eliminate option B because the second equation should be 4x - 2y = 18, not x - y = 18. For that same reason, we can eliminate C because the coefficients are swapped. I will assume that in option D, the second equation is 4x - 2y = 18. Since we have eliminated everything else, the answer is D.
Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees
Answers
Answer:
160 degrees
Step-by-step explanation:
Answer:I think it is D
Step-by-step explanation:
Pythagorean Theorem with Known Legs
Answers
Answer:
√52
Step-by-step explanation:
6^2 = 36
4^2 = 16
a. b
√36 + √16 = c
c = √52
Step-by-step explanation:
2
\(2 \sqrt{13 } \)
What is the volume of the following rectangular prism? 3 1/3 1 2/5
Answers
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
what's 0/0, with full steps
Answers
Answer:
undefined
Step-by-step explanation:
division by zero is undefined
Division Property of zero
For any nonzero real number a
The quotient of "a" and 0 is undefined. That is a/0 is undefined
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answers
Answer:
x = 90
Step-by-step explanation:
A line will ALWAYS equal 180 degrees, so we know that one angle is <90 and we have to find x, which is the other angle of the line.
So, x + 90 = 180
You can either solve the equation for x or you can just subtract 90 from x, which is the easier way.
180 - 90 = 90
So, x = 90
I hope this helps, and explains it!
You must be in degree mode to find sin pie/3
A.) True
B.) False
Answers
Answer:
(i) False. Let A = 30° and B = 60°, then sin (A + B) = sin (30° + 60°) = sin 90° = 1 and, sin A + sin B = sin 30° + sin 60° = 1/2 + √3/2 = 1+√3/2(ii) True. sin 0° = 0 sin 30° = 1/2 sin 45° = 1/√2 sin 60° = √3/2 sin 90° = 1 Thus the value of sin θ increases as θ increases.(iii) False. cos 0° = 1 cos 30° = √3/2 cos 45° = 1/√2 cos 60° = 1/2 cos 90° = 0 Thus the value of cos θ decreases as θ increases.(iv) True. cot A = cos A/sin A cot 0° = cos 0°/sin 0° = 1/0 = undefined.
Step-by-step explanation:
PLS HELP ASAP!!!
THANK YOU.
Answers
9514 1404 393
Answer:
rectangular prism: 288 ft³triangular prism: 72 ft³total: 360 ft³Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH . . . . . the product of length, width, height
This rectangular prism has a volume of ...
V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume
__
The volume of a triangular prism is found from the formula ...
V = Bh
where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...
A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.
Here, we have ...
B = 1/2(6 ft)(4 ft) = 12 ft²
V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume
__
The total volume of the given geometry is the sum of the volumes of the parts:
aquarium volume = 288 ft³ +72 ft³ = 360 ft³
How far does the tip of a minute hand on a clock travel in 15 minutes if the distance from the center to the tip is 8cm? Leave your answers in terms of pi or round your answer to the nearest tenth.
SHOW WORK
Answers
The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.
How to find the distance of the tip minute handThe distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.
The circumference of a circle is given by the formula:
C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.
The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.
The circumference of the circle traced by the tip of the minute hand is:
\(\text{C} = 2\pi \text{r}\)
\(= 2\pi (8)\)
\(= 16\pi \ \text{centimeters}\)
Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.
The distance traveled by the tip of the minute hand in 15 minutes is:
\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)
\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)
\(= 4\pi \ \text{centimeters}\)
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Answer:
4π cm ≈ 12.6 cm
Step-by-step explanation:
The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand: r = 8 cm.
A clock face is divided into 12 equal sectors (numbered 1 to 12).
It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.
This means that 15 minutes equals 3 sectors, which is a quarter of the circle.
To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.
The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:
\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)
Simplifying, we get:
\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)
\(\sf Distance=4 \pi\)
Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.
10 POINTS
8TH GRADE MIDDLE SCHOOL MATH
Answers
Answer:
first one is the answer to this
Step-by-step explanation:
\(4x^{2} +12x+8=0\)
Answers
Step-by-step explanation:
4x² + 12x + 8 = 0
this has the same solutions as
x² + 3x + 2 = 0
as we simply divided everything by 4. 0/4 = 0.
the general solution to such a quadratic equation
ax² + bx + c = 0
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case that is
x = (-3 ± sqrt(3² - 4×1×2))/(2×1) =
= (-3 ± sqrt(9 - 8))/2 = (-3 ± sqrt(1))/2
x1 = (-3 + 1)/2 = -2/2 = -1
x2 = (-3 - 1)/2 = -4/2 = -2
so, the 2 solutions are
x = -1
or
x = -2
Question 4
1p
Given the chart below, calculate the number of days one
could expect to have off due to hurricanes. Round to the nearest
day (enter your answer as a number only, you don't need to write "days" at the
end)
Number of Hurricane Days Each School Year
1
2
3
4
0
5
6
7
Days:
Chances of
having that
many days oft:
03
02
0.25
0.2
0.02
0.01
0.01
0.01
Answers
Answer:
2
Step-by-step explanation:
Given
See attachment for chart
Required
Number of off days
To do this, we simply calculate the expected value of the chart.
This is calculated as:
\(E(x) = \sum x * f\)
Where
x = days
f = chances
So, we have:
\(E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3 * 0.2 + 4 * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01\)
\(E(x) = 1.56\)
\(E(x) \approx 2\)
I’ve been bad at math since Elementary, this is my last year of high school and I have to do it virtually with the no teacher. It’s hard for me right now, but I need to pass my last year. If anyone ones anything about odyssey ware or another website where people help each other please tell me~! I need all the help and prayers I can get this year. Thank you in advance~ ♡
Answers
Answer: I don’t know much but I still know some! If you ever need help reply to this comment please
Step-by-step explanation:
What is the solution to the equation fraction 1 over 3x = 6?
x = 18
x = 2
x = fraction 1 over 2
x =
Answers
Hi there!
\(\large\boxed{\frac{1}{18}}\)
1/3x = 6
Begin by multiplying both sides by 3 to cancel the fraction:
1/x = 18
Take the reciprocal of both sides:
x = 1/18
Answer:
1/18
Step-by-step explanation:
I N E E D P O I N T S :O)
Help please, it’s SBAC MATH the problem is in the picture
Answers
Answer:
give me the choices for this question
f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?
Answers
The value of k is 18.
If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.
Substituting x = -2 into f(x), we have:
f(-2) = (-2)³ + 5(-2) + k
= -8 - 10 + k
= -18 + k
Since f(-2) should equal zero, we have:
-18 + k = 0
k = 18
Therefore, the value of k is 18.
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PLEASE HELP!!!!!!!!!
Answers
According to the information we can infer that the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.
How to create the scale drawing?To create the scale drawing, we need to convert the real-life dimensions of the football field into centimeters and then apply the scale of 1:2000.
Real-life dimensions:
Length: 50mWidth: 90mConverting to centimeters:
Length: 50m * 100cm/m = 5000cmWidth: 90m * 100cm/m = 9000cmApplying the scale of 1:2000:
Length on the drawing: 5000cm / 2000 = 2.5cmWidth on the drawing: 9000cm / 2000 = 4.5cmAccording to the above, the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.
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To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
Answers
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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.....................
Answers
48/13 rounded to the nearest tenth
Answers
Answer: 48/13 equals to 3.7.
Step-by-step explanation: To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth's place.
Which of the expressions are equivalent to the one below? Check all that apply.
( 15 • 3) - 20
Answers
Answer:
I don't know your answer choices but...
Step-by-step explanation:
( 15 • 3) - 20 is equal to:
45-20
25
(5)(3)(3)-20
Suppose that the annual interest rates on mortgages in the U.S. are normally distributed with an unknown mean and standard deviation. The rates of 22 randomly sampled mortgages (home loans) are used to estimate the mean of the population. What t-score should be used to find the 98% confidence interval for the population mean?
Answers
Answer:
The value is \(t_{\frac{\alpha }{2} , 21 } = 2.518\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 22
Generally the degree of freedom is mathematically represented as
\(df = n- 1\)
=> \(df = 22- 1\)
=> \(df = 21\)
From the question we are told the confidence level is 98% , hence the level of significance is
\(\alpha = (100 - 98 ) \%\)
=> \(\alpha = 0.02\)
Generally from the t distribution table the critical value of \(\frac{\alpha }{2}\) at a degree of freedom of \(df = 21\) is
\(t_{\frac{\alpha }{2} , 21 } = 2.518\)
After closing the temporary owners' equity accounts into Income Summary, and after allocating the net income and closing the partners' drawing accounts, assume the partners' capital accounts had credit balances as follows: Ryan, $40,000; O'Malley, $60,000; Sullivan, $45,000. Partners share profits and losses as follows: Ryan, 20%; O'Malley, 30%; and Sullivan, 50%. If Sullivan retired and withdrew $40,000 in settlement of his/her equity and settlements are allocated according to capital interests, the amount entered in Ryan's capital account would be a
Answers
The amount entered into Ryan's capital account would be $28,965.52.
We have,
First, let's calculate the total amount of capital before Sullivan's withdrawal:
Total Capital = Ryan's Capital + O'Malley's Capital + Sullivan's Capital
Total Capital = $40,000 + $60,000 + $45,000
Total Capital = $145,000
Next, we need to calculate the share of profits for each partner:
Ryan's Share = 20% of Net Income
O'Malley's Share = 30% of Net Income
Sullivan's Share = 50% of Net Income
Since we don't have the Net Income, we cannot calculate the shares of profits.
Now, we can calculate the remaining capital after Sullivan's withdrawal:
Remaining Capital = Total Capital - Sullivan's Withdrawal
Remaining Capital = $145,000 - $40,000
Remaining Capital = $105,000
Finally, we can allocate the remaining capital according to the capital interests:
Ryan's Share = Ryan's Capital / Total Capital * Remaining Capital
Ryan's Share = $40,000 / $145,000 * $105,000
Ryan's Share = $28,965.52
Therefore,
The amount entered into Ryan's capital account would be $28,965.52.
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11. Which one of the following is unique? b. mode a. Mean c. Median d. A and B
Answers
Among the mean, mode, and median, the unique one is the b. mode.
What is the mode?The mode is the data value that occurs many times more than other data values.
Unlike the mean that shows the average value of all the data values, the mode occurs more. While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.
Similarly, the median can be computed when two values occur as the middle values.
Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.
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Ong I need help ask me anything if you’re confused.
Answers
Referring to the figure, find the unknown
length. Write your answer in simplest form.
Answers
The length of the unknown side b is 24 units.
Given,
The figure is a right angled triangle.
Hypotenuse of the right angled triangle is given as 26 units.
Base of the right angled triangle is given as 10 units.
We have to find the length of the unknown side, b which is the altitude of the right angled triangle.
According to Pythagorean theorem:
Hypotenuse² = Altitude² + Base²
Here,
Altitude² = Hypotenuse² - Base²
b² = 26² - 10²
b² = 676 - 100
b² = 576
b = √576
b = 24
That is, the length of the unknown side b, which is the altitude of the right angled triangle is 24 units.
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if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Answers
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
19. Randomly assigning the _____ units across the treatment groups is called randomization.
A partial
B experimental
C whole
D population
Answers
The correct answer is A) partial.
Randomization is the process of randomly assigning the study participants or experimental units to the different treatment groups.
This helps to ensure that any differences observed between the groups are due to the treatment and not some other extraneous factor. Partial randomization refers to the random assignment of a subset of units to the treatment groups, while other units may be assigned in a non-randomized manner, such as based on convenience or some other criteria. Experimental, whole, and population randomization are not commonly used terms in research methodology.
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The angular velocity of a merry-go-round is w=pi/7 per second
A child is in a seat 8 feet from the center of the merry-go-round. The ride makes a com-
plete revolution in 14 seconds. What is the child's linear velocity?
Answers
The linear velocity expression of the given problem is: 8π/7 feet per second
How to solve Angular Velocity Problems?Angular velocity is defined as the time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes.
We are given the angular velocity as:
ω = π/7
The formula that shows the relationship between angular velocity and linear velocity is:
v = ωr
Thus:
v = (π/7) * 8
v = 8π/7 feet per second
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Factor: 16m+8n-3 pls now