Answer:
m=18
Step-by-step explanation:
90-33=57, so (3m+3) must equal 57. 3*18=54, and 54+3=57. 57+33=90, therefore your answer is 18.
g(x)=3+x+e^x find g^-1(4)
we estimate that g^-1(4) is approximately 0.8.
To find g^-1(4), we need to find the value of x that satisfies the equation g(x) = 4, where g(x) = 3 + x + e^x.
So, we start by setting g(x) equal to 4 and solving for x:
3 + x + e^x = 4
Subtracting 3 from both sides, we get:
x + e^x = 1
We cannot solve this equation for x algebraically, so we need to use numerical methods to approximate the solution. One common method is to use the graph of the function g(x) and its inverse g^-1(x) to estimate the value of g^-1(4).
First, we graph the function g(x) and look for the point on the curve where the y-coordinate is 4:
Graph of g(x) = 3 + x + e^x
From the graph, we can see that there is a point on the curve where the y-coordinate is close to 4, which is approximately x = 0.5.
Next, we look at the graph of the inverse function g^-1(x), which is simply the reflection of the curve of g(x) across the line y = x:
Graph of g^-1(x)
From the graph, we can see that the point on the curve of g^-1(x) that corresponds to the point (0.5, 4) on the curve of g(x) is approximately g^-1(4) = 0.8.
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living at home: according to a 2011 report from the u.s. census, 59% of young men (age 18-24) are living at home with their parents. suppose that we plan to select a random sample of 100 young men from your community. if we use the national figure of 59%, we estimate that the standard error is about 0.05 for results from random samples of 100 young men from your community. when we select a random sample of 100 young men from your community, we find that 50% are living at home. which gives the best interpretation of the 95% confidence interval to estimate the percentage of young men in your community who are living at home?
The best interpretation of the 95% confidence interval to estimate the percentage of young men in your community who are living at home is 0.40 and 0.60.What is confidence interval?
A confidence interval is a range of values in which an estimated population parameter lies. The value of this parameter is inferred from sample data with a certain level of confidence. To calculate the confidence interval, the margin of error and the sample mean are combined.
A confidence interval expresses the uncertainty around the estimated parameter of a population. Confidence intervals are useful for determining the reliability of an estimate. In statistical inference, confidence intervals can be used to quantify the level of certainty regarding an estimated population parameter.
What is a 95% confidence interval?A 95% confidence interval implies that if we run the same survey many times, calculating the 95% confidence interval for each survey, 95% of those intervals will contain the true value of the population parameter. It is the most common confidence level used in surveys and statistical studies.
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Ancilla and christabel are two wives of David, Ancilla is older than christabel .Given that Ancilla's age is (5x-4) years and christabel's age is (2x+1)years. write down the expression interns of x for how much older Ancilla is than christabel
Answer:
(5x - 4) = 2(2x + 1)
Step-by-step explanation:
Since Ancilla is twice as old as Christabel
Ancilla's age (5x - 4) is twice Christabel (2x + 1) so,
(5x - 4) = 2(2x + 1)
what is the rate of change for x-2y=-8
Answer: y=1/2x+4
Step-by-step explanation:
Which equation justifies why seven to the one-third power equals the cube root of seven?
\(7^1/3 = \sqrt[3]{7}\)
Answer:
Third one
Step-by-step explanation:
The only equation that is even true is the third one.
If the cube of a number is x, then cube root of x is that number.
So the cube of 7^(1/3) is (7^(1/3))^3.
By law of exponents, we have (7^(1/3))^3=7^(1/3×3)=7^1=7.
So the cube of 7^(1/3) is 7, so the cube root of 7 is 7^(1/3).
replacement of a 15 ft 4 inches double 2x10 band girder is
required for a house repair indicate the quantity of lumber you
need in bd ft
Answer:
51 1/9 bd ft
Step-by-step explanation:
You want to know the number of board feet of wood in a beam (band girder) comprised of two 15 ft 4 inch 2×10s.
Board footA board foot of wood is a volume that is 1 ft square and 1 inch thick, equivalent to 144 in³ or 1/12 ft³.
ApplicationThe attachment shows the calculation of the number of cubic feet of wood in the double beam, divided by (1/12 ft³/bd-ft) to given the number of board feet. The nominal size of the board is used for the calculation.
Of course, each inch is 1/12 ft, so the (end area) measurement in feet of a single 2×10 is (2/12 ft)×(10/12 ft).
The required band girder is 51 1/9 board feet of lumber.
__
Additional comment
We could have figured the area in square feet and multiplied that result by the number of inches of thickness. For purposes of explaining the units, we chose to use conventional volume units (ft³) and convert to board feet at the end.
(15 1/3 ft)(5/6 ft) = 12 7/9 ft²
(12 7/9 ft²)(4 in) = 51 1/9 ft²·in = 51 1/9 bd-ft . . . . double the 2" thickness of 1 board
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1/3 is 3/8. of what number? Write a division expression to match this questions
Answer:
8/9
Step-by-step explanation:
1/3 divided by 3/8 is 8/9
The government buys new weapons systems. The manufacturers of weapons pay their employees. The employees spend this money on goods and services. The firms they buy goods and services from pay their employees and the local economy expands. This illustrates
The government's purchase of new weapons systems has a ripple effect that stimulates economic growth. When the government buys weapons systems from manufacturers, it injects money into the industry, enabling manufacturers to pay their employees.
These employees then spend their earnings on various goods and services, which benefits other businesses. As a result, those businesses can hire more employees and contribute to the expansion of the local economy.
This process can be understood through the concept of the multiplier effect. The initial government spending on weapons systems creates a chain reaction of increased economic activity. The manufacturers, upon receiving payment, allocate those funds to employee salaries, thereby boosting the income and purchasing power of their workers.
These employees, in turn, utilize their income to make purchases from different firms, such as grocery stores, restaurants, or service providers. Consequently, these businesses experience a rise in demand, allowing them to hire more employees to meet the increased consumer needs. This cycle continues, leading to a broader expansion of the local economy as money circulates and creates additional income and employment opportunities.
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If x = log, 4 and y = log, 3, find the value of log, 10 and lo9, (1.2) in terms of x and y.
The value of log 10 is 1 while the value of log 1.2 is y + x - 1.
What is Logarithm?A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. Logarithms even describe how humans instinctively think about numbers.
The value of log 10 = 1 (this is a standard law), it cannot be further broken down
log 1.2 = log (12/10)
log 1.2 = log 12 - log 10
log 1.2 = log (3 x 4) - log 10
log 1.2 = log 3 + log 4 - log 10
but log 3 = y
log 4 = x
and log 10 = 1
Substituting the values
log 1.2 = log 3 + log 4 - log 10
log 1.2 = y + x - 1
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The critical value, or z*, that is used to construct a confidence interval for a proportion depends upon? A. the confidence level. B. the sample size.C. the confidence level and the sample size. D. the sample size and the sample proportion. E. the confidence level, the sample size, and the sample proportion.
The critical value that is used to construct a confidence interval for a proportion depends upon C. the confidence level and the sample size.
The critical value used to construct the confidence interval for proportion depends on:
1) The sample size:
The probability changes as the sample size changes as the distribution of the test statistics is dependent on sample size, thus the critical value will depend on sample size.
2) The confidence level:
The critical value is always calculated by using the confidence level, so it is dependent on it.
The sample proportion is the observed value which is used to perform the test, but not to construct the critical value.
Thus the correct option is:
Option C: The confidence level and sample size.
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we are interested in the choices of majors of this year's entering freshmen at our university. we randomly survey 10% of them. (a) what is the population? (b) what is the sample? (c) what is the parameter? (d) what is the statistic?
According to the random survey, the majors chosen by the freshmen of our university were:
(a) The population is the entering freshmen at the university. (b) The sample is the 10% of the entering freshmen who are randomly surveyed. (c) The parameter is the proportion of entering freshmen who choose a major. (d) The statistic is the proportion of surveyed freshmen who choose a major.To get a better understanding of the proportions of students choosing certain majors, universities can survey a sample of their entering freshmen. This survey should be representative of the population, so it should be conducted using a randomized sampling technique.
The survey should ask questions about the major the student is planning on pursuing and other relevant information, such as the student's interests and motivations.
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what is x2=20 show your work
Answer:
x=10
Step-by-step explanation:
x2=20
2*x=20
2*10=20
so, x=10
the GCF of 44 and 20
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
The transformations map polygon ABCD to polygon A'B'C'D' shows dilation and then reflection.
What is transformation?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. In geometry, object transformations constitute the foundation for the majority of proofs.
The transformation, or f: X X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation.
From the figure we observe that the figure is compressed or dilated using a negative scale factor, and then the figure is reflected on the y -axis.
Hence, the transformations map polygon ABCD to polygon A'B'C'D' shows dilation and then reflection.
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The diameter of a circle has the endpoints of (2, 5) and (-8, 29). Find the center and radius of the circle. ANSWERS ATTACHED, due in 2 hours, will give BRAINLIEST! 15 points!
Answer:
\(\mathrm{Center\:\:}= (- 3,17)\\\mathrm{Radius\:\:}= 13\)
Step-by-step explanation:
Remember that the center of the circle would be equidistant from the given points that lie on the circle.
By determining the diameter through the distance of the given points, we can determine the radius by dividing this distance by 2. And by determining the radius we can determine the center of the circle. Let's do it.
\(\mathrm{Distance\:between\:}\left(2,\:5\right)\mathrm{\:and\:}\left(-8,\:29\right) = \sqrt{\left(-8-2\right)^2+\left(29-5\right)^2} = 26\)
\(\mathrm{Radius\:\:}= 26 / 2 =13\)
So now that we know the radius is 13 units, we can eliminate answer choice(s) # 2 and # 4. That leaves us with the first and third answer choices. The center being (5,12) is not likely, as most of the circle lies in the 2nd quadrant. That is presumably why (- 3,17) is more predictable. Our answer is the third option.
How many moles of KI are in 83 grams of KI?
Answer: 1 moles KI = 166.00277 gram using the molecular weight calculator and the molar mass of KI.
Step-by-step explanation
Answer was found by using the molecular weight calculator and the molar mass of KI.
Hope this helps :)
Which expressions are equivalent to 3(2x - 4)? Mark all that apply.
Group of answer choices
6x - 1
6x - 12
3x - 12
2(3x - 6)
2(3x - 4)
6(x - 2)
Answer:
6x - 12 , 2(3x - 6) and 6(x - 2)
Step-by-step explanation:
You must times 3 by each of the numbers and variables within the brackets
For example: 3x 2x = 6x and 3 x 4 = 12
Select the correct answer from each drop-down menu.
A cell phone tower is shown. The edge of the base is 50 feet and the height is 200 feet.
Photograph of a cell phone tower.
What shape best models the object and what is the approximate surface area of that shape?
The best shape for the model is a
.
The approximate surface area is
square feet.
A square pyramid can be defined as a type of pyramid that has a square base, four (4) triangular sides, five (5) vertices, and eight (8) edges.
In this context, we can logically deduce that the geometric shape which best models the object (cell phone tower) shown in the image attached above is a square pyramid.
How to calculate surface area of a square pyramid?Mathematically, the surface area of a square pyramid is given by this formula:
A = a² + 2a√(a²/4 + h²)
Where:
A is the surface area of a square pyramid.a represents the edge of the base.h represents the height.Given the following parameters:
Edge of the base = 50 feet.
Height = 200 feet.
Substituting the given parameters into the formula, we have;
A = 50² + 2(50)√(50²/4 + 200²)
A = 2,500 + 100√(2500/4 + 40,000)
A = 2,500 + 100√(625 + 40,000)
A = 2,500 + 100√(40,625)
A = 2,500 + 100(201.56)
A = 2,500 + 20,156
A = 22,656 ≈ 22,500 ft².
In conclusion, the best geometric shape for the model is a square pyramid and the approximate surface area is equal to 22,500 square feet.
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Answer:The best shape for the model is a square pyramid.
The approximate surface area is 22,500 square feet.
Step-by-step explanation: edmentum/plato answers
Can someone smart help me, please? I am not good with math
The value of angle 7 is 35 degrees and this is calculated from the two parallel line using corresponding angle theorem
What are angles on a parallel lineAngles along a parallel line refer to the angles formed by a transversal intersecting two parallel lines. When a transversal intersects two parallel lines, eight different angles are formed. These angles can be classified into three types:
1. Corresponding angles: These are angles that are in the same position at each intersection point, on opposite sides of the transversal, and are congruent to each other. Corresponding angles are marked with the same letter in the diagram below (e.g. angle a).
2. Alternate interior angles: These are angles that are on opposite sides of the transversal and between the two parallel lines. Alternate interior angles are congruent to each other. Alternate interior angles are marked with two arrows in the diagram below (e.g. angle b).
3. Alternate exterior angles: These are angles that are on opposite sides of the transversal and outside the two parallel lines. Alternate exterior angles are congruent to each other.
In the diagram, the value of angle 3 is 125 degrees, we can find the value of angle 7.
angle 3 = angle 7 + angle 8
reason: corresponding angles are equal
125 = 90 + angle 7
angle 7 = 125 - 90
angle 7 = 35 degrees
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Describe the graph of the line x = 5.
A. Crosses the y-axis
B.horizontal line
C. Vertical line
Answer:
vertical line
Step-by-step explanation:
I did that on my test
The ratio of gold beads to black beads on a Mizzou necklace is 2:3. If the necklace has 28 gold beads, how many black beads does it have?
Edith leaves her home at 4.20pm. She travels 150 miles at an average speed of 60mph. At what time does she finish her journey? You must show your workings.
Answer:
6:50 p.m.
Step-by-step explanation:
150 miles / 60 mph = 2.5 hours
2 hours after 4:20 p.m. is 6:20 p.m.
30 minutes (1/2 hour) after 6:20 p.m. is 6:50 p.m.
according to survey data, what percentage of recruiters review the social profile of a candidate for a job? group of answer choices approximately 30% approximately 90% approximately 60%
According to survey data, approximately 90% of recruiters review the social profile of a candidate for a job.
This means that the majority of recruiters, about 90%, look at the social media accounts of potential candidates.
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i honestly forgot how to solve this
Answer:
c must be -4
Step-by-step explanation:
x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.
The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.
Substituting -5 for b and 1 for a, we get:
(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16. Thus, c must be -4, and the quadratic is
x^2 - 5x - 4
Sam is paid $12.45 per hour for a 37.5 hour week plus 6% of sales for a week. What would Sam's sales have to be for him to earn $800 in a week?
Answer:
ok Let’s calculate the money Sam makes per week, not including sales (or Assuming $0 in sales):
Money per week =$6.45/hour×37.5 hours/week= $241.88/week
The money he Gains from sales must make up the difference, So
money from sales = $400−$241.88 = $158.12
This Money is only 6% or 0.06 of the total sales though, so
Total sales = $158.120.06 = $2635.33
of course, this is Assuming that the money per week is rounded up from $241.875 to $241.88 instead of down to $241.87, in which case Sam would Have to make $2635.50 in sales (about 17 cents more).
Step-by-step explanation:
have a nice day.
the square mil area for a 2 inch wide by 1/4 inch thick copper busbar = ? square mils.
The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.
How to find the square mil area of a copper busbar?To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.
1 inch = 1000 mils
So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils
And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils
Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.
Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.
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(Help needed) What’s the approximate total surface area of the cylinder?
A) 283.36ft
B) 122.02ft
C) 217.11ft
D) 245.04ft
if p(x) is the taylor series for f centered at 0, then p( x - 1 ) is the taylor series for f centered at 1. True or False
True. If p(x) is the Taylor series for f centered at 0, then p(x-1) is not the Taylor series for f centered at 1. Instead, to obtain the Taylor series for f centered at 1, you would need to compute a new series with the center shifted to 1.
True. Shifting the center of a Taylor series by adding or subtracting a constant simply results in a new Taylor series centered at the shifted point. In this case, we are shifting the center from 0 to 1 by replacing x with (x-1) in the Taylor series for f, resulting in p(x-1).
In mathematics, the Taylor series or Taylor expansion of a function is an infinite number of points defined by the function at one point. For most ordinary functions, the partial function and its Taylor series are equal at point. The first n + 1 terms of the Taylor series form an n-order polynomial called the nth-order Taylor polynomial function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials.
A function can diverge from the equation of the Taylor series even if the Taylor series converges. A function is the definition of a point x if it is equal to the sum of the Taylor series over an open interval (or opening in the complex plane) containing x. This means that transactions are resolved anywhere on the clock (or disk).
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WILL MARK BRAINLYEST! 1567584+3121350393X59=
Answer:184161240771
Step-by-step explanation:
Calculator
Answer:
184,161,240,771
Step-by-step explanation:
have a nice day!
₊˚ ‧꒰ mei ꒱ ‧₊˚
Geometry question about finding missing angles!
Answer:
x = 38.5y = -12.5m∠EBD = 26°Step-by-step explanation:
The sum of the three angles is 180°.
(2x) +(x+y) +(52-2y) = 180
3x -y = 128 . . . . write in standard form
The congruent angles have equal measure.
2x = 52 -2y
x + y = 26 . . . . write in standard form
__
Adding these two standard-form equations, we get ...
(3x -y) +(x +y) = (128) +(26)
4x = 154
x = 38.5
x + y = 26
y = 26 -38.5 = -12.5
The values of interest are ...
x = 38.5y = -12.5m∠EBD = 26°