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Log ( x ) 32 = 5 / 2
x ^ 5 / 2 = 32
x ^ 5 / 2 = 2⁵
Root 5 both sides
x ^ ½ = 2
√x = 2
x = 4
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Can anyone help me ?????
Answer:
Step-by-step explanation:
The graph of a function and its inverse will always reflect through the line
y = x.
This is because a function has a specific set of coordiates, (x, y). That function's inverse has a set of coordinates that flips the x and y coordinates. For example, if a function has a set of coordinates (0, 1), (2, 3), (4, 5) then its inverse will have the coordinates (1, 0), (3, 2), (5, 4). If you plot the function's points and then the inverse's points in the same plane (meaning on the same graph) and connect the dots, you will see that the function and its inverse are reflections of each other through y = x. Below is an example of this. The dotted purplish line is the line y = x.
please help me!!!!!!!!!!!!
Answer: 38 and 24
Step-by-step explanation:
38 and 24
Tom used twenty gallons of water to
water his plants for x days. After x
days, he used an additional forty
gallons of water for a day on his pants.
Write an expression that shows how
the total gallons of water Tom used on
his plants.
Answer:
y=20x + 40x
Step-by-step explanation:
Answer:
y=20x+40
Step-by-step explanation:
y represents how many gallons of water he used
x represents the amount of days
(example) if he watered his plants for 2 days:
y=20(2)+40
y=40+40
y=80
if he watered his plants for 2 days he would have used 80 gallons of water.
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44. 4, 43. 8, 45. 6, 45. 9, 44. 1, 45. 6, 44. 0, 44. 9, 45. 8 mean and MAD answer
For the values 44. 4, 43. 8, 45. 6, 45. 9, 44. 1, 45. 6, 44. 0, 44. 9, 45. 8, the mean of the data set is 49.52. The Mean Absolute Deviation (MAD) of the data set is 4.83.
To find the mean of the given data set, we add up all the values and divide by the number of values:
Mean = (44.4 + 43.8 + 45.6 + 45.9 + 44.1 + 45.6 + 44.0 + 44.9 + 45.8) / 9 = 445.7 / 9 = 49.52
So, the mean of the data set is 49.52.
To find the Mean Absolute Deviation (MAD), we first find the absolute difference between each value and the mean, and then find the mean of these absolute differences:
Absolute Difference = |44.4 - 49.52|, |43.8 - 49.52|, ..., |45.8 - 49.52|
MAD = (Absolute Difference1 + Absolute Difference2 + ... + Absolute Difference9) / 9
Calculating the MAD gives:
MAD = (5.12 + 5.72 + 3.92 + 3.62 + 5.42 + 3.92 + 5.52 + 4.62 + 5.32) / 9 = 43.5 / 9 = 4.83
So, the Mean Absolute Deviation (MAD) of the data set is 4.83.
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(Solve): 6x^3 -x^2 - 19x - 6 = 0
Answer:
Step-by-step explanation:
After some trial and error, we can find that x = 2 is one solution to this problem. We know that then (x-2) is a solution. We can then do polynomial division to get a quadratic equation. We can then solve the quadratic equation to get the other two factors which are -1/3 and -3/2. You can also graph it and find the roots as well. There isn't a really good method to do this and it is more like trial and error.
Which point would be a solution to the system of linear inequalities shown below? {see image for inequalities}
(-10, -2)
(−5,2)
(10,7)
(10,−2)
Answer:
(10, -2)
Step-by-step explanation:
The inequalities are:
y < x - 7 (1)
y < (1/5)x - 2 (2)
To solve this problem, we have to solve both equations simultaneously and then find the value of x and y that makes the inequality true.
To solve the inequality, subtract inequality (2) from inequality (1) which gives:
0 < (4/5) x - 5
-(4/5)x < -5
Dividing both sides of the equation by -4/5 gives:
-(4/5)x / (-4/5) < -5/ (-4/5)
x > 6.25
Put x > 6.2 in inequality 1
y < 6.25 - 7
y < -0.75
The solution of the inequality is x > 6.25 and y < -0.75
From the list of option, the correct answer is (10, -2) since 10 > 6.25 and -2 < -0.75
The symbolic equation A = kB3 means which of the following
a. A is proportional to the cube of B.
b. B is proportional to the square of A.
c. A is proportional to the square of B.
d. B is proportional to the cube of A.
The symbolic equation A = k\(B^3\) signifies that A is directly proportional to the cube of B. This means that as the value of B increases, the value of A will increase by a factor equal to the cube of B.
The symbolic equation A = k\(B^3\) indicates that A is directly proportional to the cube of B. This means that as the value of B increases, the value of A will increase by a factor equal to the cube of B. Conversely, if the value of B decreases, A will decrease accordingly, following the cube of B.
In other words, if we were to double the value of B, A would increase by a factor of 8 (\(2^3\)), and if we were to triple the value of B, A would increase by a factor of 27 (\(3^3\)). This relationship holds true for any positive real values of B.
To understand this concept better, consider an example where A represents the volume of a cube and B represents the length of its side. If we increase the length of the side (B) by a factor of 2, the volume (A) will increase by a factor of 8 since the volume of a cube is calculated by multiplying the length of the side three times (A = \(B^3\)).
Therefore, option a. A is proportional to the cube of B is the correct interpretation of the symbolic equation A = k\(B^3\).
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find the value of a and b such that
x^2+2x-7=(x+a)^2+b
The value of a and b are 1 and -8 respectively.
What are Quadratic Expressions?Quadratic expressions are polynomial expressions of second degree.
The general form of a quadratic expression is ax² + b x + c.
The given quadratic expression is x² + 2x - 7.
We have to write this in the form (x + a)² + b.
We have the algebraic identity a² + 2ab + b² = (a + b)²
x² + 2x - 7 = x² + 2x - 7 + 1 - 1
= (x² + 2x + 1) - 7 - 1
= (x + 1)² - 8, which is in the form (x + a)² + b.
a = 1 and b = -8
Hence the value of a is 1 and the value of b is -8.
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7.
A. \(y=\frac{1}{3}x^2, y=-9x^2, y=-\frac{1}{2}x^2\)
B. \(y=-\frac{1}{2}x^2, y=\frac{1}{3}x^2, y=-9x^2\)
C. \(y=-9x^2, y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2\)
D. \(y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2, y=-9x^2\)
Answer:
D
Step-by-step explanation:
A poll conducted by the UC Berkeley Institute of Governmental studies in 2019 found that 51.7% of 4527 respondents said they considered moving out of the state.Here n=4527 and p^=51.7=0.517 , andq^=1-p^=1-0.517=0.483Now to compute 95% confidence interval for the proportion of all California who considered moving out of state.
The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.
The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.
B. The formula to calculate the confidence interval for a proportion is:
CI = p^ ± z* √[(p^(1-p^))/n]
Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.
Substituting the given values into the formula, we get:
CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]
CI = 0.517 ± 0.013
The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.
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Please help im begging
What is the surface area of the triangular prism?
S.A = ? ft²
The surface area of the prism is 36 square feet
How to determine the surface area of the prismsFrom the question, we have the following parameters that can be used in our computation:
Triangular prisms
The surface area of the the prism is calculated as
SA = bh + perimeter of triangle * length of rectangular part
Using the above as a guide, we have the following surface areas:
SA = 4 * 3 + (4 + 3 + 5) * 2
Evaluate
SA = 36
The above is the surface area of the prism
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Answer:
Surface area36ft²
To find the surface area of the Triangular Prism, you look for the surface area of each individual figure.
We have 3 squares and 2 triangles in the image.
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Express the vector in the form v=vqi + V2] + V3k. AB if A is the point (-3,-4,5) and B is the point (4,4,5) Choose the correct answer below. O A. -21 + 13k OB. 71 +8j O C. 2j-13k OD. 1 + 10k O E. -¡-
To express the vector AB in the form v = v1i + v2j + v3k, where A is the point (-3, -4, 5) and B is the point (4, 4, 5), we subtract the coordinates of A from the coordinates of B to obtain the components v1, v2, and v3.
The vector AB can be obtained by subtracting the coordinates of point A from the coordinates of point B. Let's denote the components of vector AB as v1, v2, and v3.
v1 = x-coordinate of B - x-coordinate of A = 4 - (-3) = 7
v2 = y-coordinate of B - y-coordinate of A = 4 - (-4) = 8
v3 = z-coordinate of B - z-coordinate of A = 5 - 5 = 0
Therefore, the vector AB can be expressed as v = 7i + 8j + 0k.
Looking at the provided answer choices, we see that only option B. 71 + 8j matches the expression obtained for the vector AB. The answer B. 71 + 8j represents the vector with a magnitude of 71 in the i-direction and 8 in the j-direction, with no component in the k-direction. Hence, the correct answer is B. 71 + 8j.
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Complete the table and write the equation for the function please. pls hurry
The table has been completed below.
An equation to represent the function P is P(x) = 4x.
A graph of the function P is shown below.
How to calculate the perimeter of a square?In Mathematics and Geometry, the perimeter of a square can be calculated by using the following formula;
P = 4x
Where:
P is the perimeter of a square.x is the side length of a square.By substituting the given side lengths into the formula for the perimeter of a square, we have the following;
Perimeter of square, P(x) = 4x = 4(0) = 0 inches.
Perimeter of square, P(x) = 4x = 4(1) = 4 inches.
Perimeter of square, P(x) = 4x = 4(2) = 8 inches.
Perimeter of square, P(x) = 4x = 4(3) = 12 inches.
Perimeter of square, P(x) = 4x = 4(4) = 16 inches.
Perimeter of square, P(x) = 4x = 4(5) = 20 inches.
Perimeter of square, P(x) = 4x = 4(6) = 24 inches.
Therefore, the table should be completed as follows;
x 0 1 2 3 4 5 6
P(x) 0 4 8 12 16 20 24
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in a set of scores with a mean of 100 and a standard deviation of 15, what raw score is represented by a z score of 2.00?a.115b.100c.70d.130
The raw score represented by a z score of 2.00 is 130 (option d).
What is the raw score corresponding to a z score of 2.00?A z score, also known as a standard score, measures the distance between a particular raw score and the mean of a distribution in terms of standard deviations. In this case, the given set of scores has a mean of 100 and a standard deviation of 15. A z score of 2.00 indicates that the raw score is two standard deviations above the mean.
To find the corresponding raw score, we can use the formula:
Raw Score = (Z Score × Standard Deviation) + Mean
Plugging in the values, we have:
Raw Score = (2.00 × 15) + 100Raw Score = 30 + 100Raw Score = 130Therefore, a z score of 2.00 in this distribution corresponds to a raw score of 130.
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prove that 3 divides n3 + 2n whenever n is a positive integer.
Chelsea is solving a quadratic equation. She wants to find the value of x by taking the
square root of both sides of the equation. Which equation allows her to do this?
x2 + 10x + 16 = 25
x2 + 12x + 36 = 17
X2 + 5x + 25 = 64
x2 + 16x + 4 = 18
Step-by-step explanation:Step-by-step explanation:
For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:
(x + a) ² = b
'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.
So, she can take square roots of both sides then, like this
√(x + a)² = √b
x + a = ±√b
x = -a ± √b
Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.
It is the nature of the problem being solved that determines if we take just one or both of these answers.
Which is larger, 7/12 or 2/3?
ayo can yall help me plzzz
Answer:
I think it's either Wednesday or Sunday.
Step-by-step explanation:
Answer: the answer is d Wednesday.
Step-by-step explanation:
hope this helped ya bro! have a good day! :)
I need help on this math question
Answer:
\(3\sqrt{2}+3\sqrt{7}\)
Step-by-step explanation:
looks like your question don't need a step.
<3
Red
PLS HELP !! I WILL MARK BRAINLIEST!!!
Question
.........
The number of bacteria in a Petri dish quadruples every hour. How many bacteria are in the dish after 5 hours if there were originally 10 bacteria?
Moonstone, Inc., has a total equity of $183,000 and total
assents of $275,000. What is the total debt-equity ratio?
a) 0.82 b)0.50 c)1.18 d) 1.50
The total debt-equity ratio is 0. 50. The correct answer is B.
A company's debt-to-equity ratio (D/E ratio) reveals how much debt it has in relation to its assets. It is calculated by dividing the total debt of a corporation by the total shareholder equity.
To calculate the total debt-equity ratio, we divide the total debt by the total equity.
Total equity = $183,000
Total assets = $275,000
Total debt = Total assets - Total equity
Total debt = $275,000 - $183,000
Total debt = $92,000
Debt-Equity Ratio = Total debt / Total equity
Debt-Equity Ratio = $92,000 / $183,000
Debt-Equity Ratio ≈ 0.5027
Rounding to two decimal places, the total debt-equity ratio is approximately 0.50.
Therefore, the correct option is b) 0.50.
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5 of 12 Question 5 Item 5 To estimate the percent of red marbles in a large bag of marbles, Margo will use the following sampling method. She will randomly select a marble, record its color, put it back into the bag, shake the bag to thoroughly mix the marbles, and then repeat those steps. She will perform the procedure many times. What type of sampling method is Margo using
Using sampling concepts, it is found that Margo is using random sampling.
Sample strategies are classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: All options into a hat and draw some of team.
Systematic: Every kth element.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this problem:
Marbles are taken from the bag, and after they are taken, they are placed back, thus random sampling.A similar problem is given at https://brainly.com/question/24003863
which of the following linear systems has a solution
(5,0)
SOMEONE PLS HELPPP
Answer:
D
Step-by-step explanation:
out of the choices
A) 2x-y=-2
3x+2y=-10
B) x+4y=3
2x+5y=3
C) 2x+3y=5
x-4y=-14
D) 3x+4y=15
x+y=5
only the system in D has a solution of x=5 and y=0
solve by substitution x+y=5 so x=5-y
plug into the other equation so 3(5-y)+4y=15
distribute 15-3y+4y=15 then minus 15 on both sides and combine like terms
so y=0 then put that value back into the other equation
so x+y=5 equals x+0=5 so x=5 this means the solution to the system of equations is the point (5,0)
Hope this helps! :)
Which rectangular cake gives you more to eat a vanilla cake measuring 8 in x 11 in x 13 in or a chocolate cake measuring 9 1in x 12in x 2 in?
The volume of vanilla cake is greater than the volume of chocolate cake, hence the vanilla cake gives you more to eat.
How to calculate the volume of rectangular box?The formula for calculating the volume of the cake is expressed as:
Volume of vanilla cake = 8in * 11in * 13in
Volume of vanilla cake = 1144in³
For the chocolate cake
Volume of the chocolate cake = 9.1in x 12in x 2 in
Volume of the chocolate cake = 218.4in³
Since the volume of vanilla cake is greater than the volume of chocolate cake, hence the vanilla cake gives you more to eat.
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g(x) = 4x + 1
What is g(3)?
————————————-
A. 13
B. 16
C. 12
D. 8
Answer:
A. 13.
Step-by-step explanation:
g(x) = 4x + 1
g(3) = 4 * 3 + 1 = 12 + 1 = 13
A. 13 is your answer.
Hope this helps!
Answer:
13
Step-by-step explanation:
g(x) = 4x + 1
Let x=3
g(3) = 4*3+1
= 12+1
= 13
please help. I don't understand this problem.
If f(x) takes on both positive and negative values, what is the geometric interpretation of a riemann sum? illustrate with a diagram.
The area being measured will not match the Riemann sum. By employing ever smaller forms to divide the area more precisely, this mistake can be minimized. The sum approaches the area as the shapes become ever-smaller.
What is Riemann sum ?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
A is the area under the curve on the interval being evaluated, f(xi) is the height of each rectangle (or the average of the two heights in the case of a trapezoid), and x is the width of each rectangle or trapezoid. This formula is known as the Riemann sum.Each rectangle in a right Riemann sum has a height equal to the value of the function at the right end of its base. Each rectangle's height in a midpoint Riemann sum is equal to the function's value at the midpoint of its base.To know more about Riemann sum please click here ; https://brainly.com/question/9043837
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In a random sample of Toyota car owners, 83 out of 112 said they were satisfied with the Toyota front-wheel drive, while in a similar survey of Subaru owners, 76 out of 81 said they were satisfied with the Subaru four-wheel drive. A 90% confidence interval estimate for the difference in proportions between Toyota and Subaru car owners who are satisfied with their drive systems is reported to be -0.197 ± 0.081. Which is a proper conclusion? A. The interval is invalid because probabilities cannot be negative. B. The interval is invalid because it does not contain zero. C. Subaru owners are approximately 19.7% more satisfied with their drive systems than are Toyota owners. D. 90% of Subaru owners are approximately 19.7% more satisfied with their drive systems than are Toyota owners. E. We are 90% confident that the difference in proportions between Toyota and Subaru car owners who are satisfied with their drive systems is between -0.278 and -0.116.
The proper conclusion is as follows:Option E is the correct conclusion. We are 90% confident that the difference in proportions between Toyota and Subaru car owners who are satisfied with their drive systems is between -0.278 and -0.116.
What is a confidence interval estimate?
Confidence intervals are statistical tools used to make inferences about population parameters based on sample statistics. A confidence interval is a range of values that has a high probability of containing an unknown parameter. The width of a confidence interval is determined by the level of confidence and the variability of the data.Random SamplingIn random sampling, every item in the population has an equal chance of being selected as part of the sample. As a result, random sampling should produce a representative sample, which is important in drawing valid conclusions. However, it is not always feasible or cost-effective to conduct a complete enumeration or census. Instead, a sample of the population is usually taken.
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How can you tell two values are in a proportional relationship?
100 points please help!!
Answer:
A
Step-by-step explanation:
One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Answer:
A. Each value is an equivalent ratio
Step-by-step explanation:
This image shows that the only possible answer would be A.