Answers
2x + 27 = x - 20
2x - x = 20 - 27
x = - 7
“Collecting Variables on the Same Side of an Equation” is the easiest way to solve this equation.
Related Questions
Please Help with this problem!
Answers
It should be noted that simplifying the equation 2log(4-x) = 2 - x gives the value of 3.79.
How to calculate the valueSimplify the equation.
2log(4-x) = 2 - x
So,the logarithm can be rewritten as:
(4 - x)² = \(10^{2-x}\)
(4 - x)(4 - x) =\(10^{2-x}\)
16 - 8x + \(x^{2}\) = \(10^{2-x}\)
Now, let's solve for x. We can use numerical methods or approximate the solution.
Using numerical methods, such as Newton's method or using a calculator, we find that the approximate solution to the equation is x ≈ 3.7917.
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A family rents their spare bedroom to tenants. If the tenant stays less than 7 days the rental price is $65 per day. Once a tenant stays
seven or more days, the price is $375 plus $55 per day past seven. What are the constraints that apply to the above situation? Select all that apply.
Answers
Using a piece-wise function, the constraints are:
\(65x, x < 7\)
\(375 + 55x, x \geq 7\)
-------------------------
A piece-wise function is a function that has multiple definitions, depending on the value of the input.
In this problem:
The input is the number of days x.The output is the cost y.Less than 7 days the rental price is $65 per day.
Thus, one constraint is:
\(65x, x < 7\)
Once a tenant stays seven or more days, the price is $375 plus $55 per day past seven.
Thus, the other constraint is:
\(375 + 55x, x \geq 7\)
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Answer: a and d
Step-by-step explanation:
its easy. U can just solve the problem
Felix is constructing a three-dimensional figure. First he draws the views for the figure. A bottom row of 6 cubes, second row of 3 cubes, and top row of 3 cubes. A column of 2 cubes. A bottom row of 6 cubes, and second row of 2 cubes. Column of 3 cubes. Which views can Felix use to construct the same figure? A bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube. A bottom row of 6 cubes and second row of 2 cubes. A bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube. A bottom row of 6 cubes and second row of 2 cubes. A bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube. A column of 2 cubes. A column of 3 cubes. A bottom row of 6 cubes and second row of 2 cubes. A column of 2 cubes. A column of 3 cubes.
Answers
A view which Felix can use to construct the same figure include the following: A. a bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube.
What is an isometric sketch?In Mathematics and Geometry, an isometric sketch is sometimes referred to as an isometric drawing and it can be defined as a graphical (pictorial) representation of a physical object or geometric shape in technical and engineering drawings, especially by drawing all its three dimensions (3D) at full scale;
Front viewEnd viewPlanIn this context, we can reasonably infer and logically deduce that the front view is a view which Felix can use to construct the same three-dimensional figure because its orientation influences the other views.
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Please help i need the answer done step by step
Answers
Answer:
x = 40
Step-by-step explanation:
So a triangle is 180 degrees
and thats a right triangle = 90 degrees
you have three corners: 90, 50 & x
90 + 50 + x = 180
140 + x = 180
subtract 140 from both sides
x = 40
hope this helps
like this up !
Answer:
40 is the asnwer
Step-by-step explanation:
1. Well, first of all we know that all right angles add up to 180 degrees. The degrees shown in the picture are 50, and 90. You can’t see the 90 exactly, but you can tell by that little square, that’s how it shows us!
2. Second step, we add up 60 and 90 which is 140. We got that, now we can subtract this 140 to the 180 to get our answer!
3. 180 – 140 is equal to 40!
4. Therefore, the 3rd angle is 40!
5. Not confident with my ansawer? Proof time!
6. 40 + 50 + 90 = 180
7. Since this all adds up to 180, it is true!
Have a great day!
Solve the following quadratic inequality x^2+x-6>0
Answers
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
If L 1and"2 are parallel lines and l1 has a slope of -2 what is the slope of l2
Answers
Answer:
-2
Step-by-step explanation:
If these two lines are parallel, they have the same slope, which is -2.
An average soccer player travels 7 miles during a game. A typical field is 98 meters long. How many times did the average soccer play travel the length of the field?
Round your answer to the nearest tenth.
Answers
The number of times the average soccer play travel the length of the field is 114.9
How many times did the average soccer play travel the length of the field?The given parameters are
Distance travelled by the average soccer player = 7 miles
Length of a field = 98 meters
Convert the distance travelled by the average soccer player from miles to meters
So, we have
Distance travelled by the average soccer player = 7 * 1609 meters
Evaluate the product
So, we have
Distance travelled by the average soccer player = 11263 meters
The number of times the average soccer play travel the length of the field is
Number of times = Distance travelled by the average soccer player/Length of a field
So, we have
Number of times = 11263 meters/98 meters
Evaluate the quotient
So, we have
Number of times = 114.9
Hence, the number of times the average soccer play travel the length of the field is 114.9
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Can someone help with this and give the right answer I am on a time limit
Answers
The constant of variation, k, is defined as the ratio between the two variables' values, multiplied by their respective powers: \(k = y/x^a \times z/x^b,\) where a and b are the powers of x in the expressions for y and z, respectively. when \(x = -3\) and \(y = 4\) , z is equal to -81/16.
What is the constant of variation?In this case, we have x = 8, y = 54, and z = 144, so we need to determine the powers of x in the expressions for y and z:
\(y = 54 = (8^a) \times k = > a = 3\)
\(z = 144 = (8^b) \times k = > b = 2\)
Substituting these values into the formula for k, we get:
\(k = y/x^a \times z/x^b = 54/8^3 \times 144/8^2 = 27/64\)
Therefore, the constant of variation is 27/64.
Using the same formula as above, we can solve for z when x = -3 and y = 4:
\(k = y/x^a \times z/x^b\)
We need to determine the powers of x in the expressions for y and z:
\(y = 4 = (-3)^a * k = > a = -1\)
\(z = ? = (-3)^b * k = >\) we don't know b or z yet
Substituting these values into the formula for k, we get:
\(k = y/x^a * z/x^b = 4/(-3)^(-1) * z/(-3)^b = -12z/(-3)^2\)
Simplifying this expression, we get:
\(k = -12z/9 = -4z/3\)
Now we can solve for z:
\(-4z/3 = 27/64\)
Multiplying both sides by 3/(-4), we get:
\(z = -81/16\)
Therefore, when \(x = -3\) and \(y = 4, z\) is equal to \(-81/16.\)
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PLEASE HELP!!!!
WILL MARK BRAINLIEST!!!!!
Answers
Answer:
The maximum value would be 4.
Please mark as Brainliest!!
A'Riya chose a new pair of shoes marked $120, and the store is having a sale of 20% off everything. How much will she pay for the shoes (excluding sales tax)?
Answers
Answer:
96
Step-by-step explanation:
I looked this up and I have a feeling ur in my class because I'm doing this rn
Answer:
$ 96
Step-by-step explanation:
(20*120)/100 = $24
120-24= $96
for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
Answers
Recall the half-angle identity for sine,
sin²(x/2) = (1 - cos(x))/2
Then the given equation is identical to
sin²(θ) = 1 - cos(θ)
Also recall the Pythagorean identity,
sin²(θ) + cos²(θ) = 1
Then we rewrite the equation as
1 - cos²(θ) = 1 - cos(θ)
Factoring the left side, we have
(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)
and so
(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0
and we factor this further as
(1 - cos(θ)) (1 + cos(θ) - 1) = 0
which gives
cos(θ) (1 - cos(θ)) = 0
Then either
cos(θ) = 0 or 1 - cos(θ) = 0
cos(θ) = 0 or cos(θ) = 1
[θ = arccos(0) + 2nπ or θ = -arccos(0) + 2nπ]
… or [θ = arccos(1) + 2nπ or θ = -arccos(1) + 2nπ]
(where n is any integer)
[θ = π/2 + 2nπ or θ = -π/2 + 2nπ] or [θ = 0 + 2nπ]
In the interval 0 ≤ θ < 2π, we get three solutions:
• first solution set with n = 0 ⇒ θ = π/2
• second solution set with n = 1 ⇒ θ = 3π/2
• third solution set with n = 0 ⇒ θ = 0
So, the first choice is correct.
A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final
answer to four decimal places and intermediate z-value calculations to two decimal places
Answers
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:
0.5874 = 58.74%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
Z = (18.1 - 17.2)/0.3953
Z = 2.28
Z = 2.28 has a p-value of 0.9887.
Z = (17.1 - 17.2)/0.3953
Z = -0.25
Z = -0.25 has a p-value of 0.4013.
Hence:
0.9887 - 0.4013 = 0.5874 = 58.74%.
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Classify the hypothesis test as two-tailed, left-tailed, or right-tailed.
At one school, the average amount of time that tenth-graders spend watching television each week is hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 21.6 hours.
a. Two-tailed
b. Right-tailed
c. Left-tailed
Answers
Answer:
C: left tailed
Step-by-step explanation:
In two tailed hypothesis, the alternative hypothesis is when mean can either be lesser or greater than the given value. Usually uses the symbol ≠.
In right tailed, the alternative hypothesis is when the mean is greater than the given value.
In left tailed, the alternative hypothesis is when the mean is lesser than the given value.
In this question, the hypothesis test to be performed is to determine if the average amount of time spent watching television per week has decreased from the given value of 21.6 hours.
Thus, it is left tailed test.
In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Answers
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
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On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
Answers
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
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PLEASE HELP THIS IS MY LAST QUESTIONNNN
- The electric company charges Dalton a monthly service fee of $30 plus $0.15 per kilowatt-hour of electricity used. This month, Dalton's bill is $105.
- How many kilowatt-hours of electricity did Dalton use?
Answers
500 kwh
$105 - $30 = $75
$75 / $0.15 = 500
Answer:
$105-$30 service fee, this leaves only the electricity used. $75. now to find how many kilowatt hours used you divide $75/.15=500 answer 500 kilowatt hours.
Step-by-step explanation:
see above
which of the following are like terms with 3x select all that apply
Answers
Like terms are terms whose variables are the same. In other words, terms that are "like" each other.
That means, all the terms containing x as the variables will be like terms for 3x in this case.
Thus, 10x is the like term of 3x
The answer is 10x.
A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form
Answers
Answer:
y=3x+4
Step-by-step explanation:
4 is your y-intercept, and 3 is your slope.
The linear function shows the total cost will be y = 3x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
A taxi ride costs $4 plus an additional $3 per mile.
Let's say the number of miles is represented as x while the total cost is represented as y.
y = 3x + 4
Hence "The linear function shows the total cost will be y = 3x + 4".
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Solve the system of equations: y=x^2, y=x+6
A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)
Answers
12) You can exchange $5 US dollars for L123 Honduran Lempiras. How many dollars can you exchange L2,300 for? ----
Answers
Step-by-step explanation:
$5 US dollar = L123 Honduran Lempiras
L2300Honduran Lempiras = x ( Let $ be x)
By using chain rule, we get
5×2300 = 123×x
or, 11500 = 123x
or, x = 11500÷123
hence, x = 93.49593496
Which angle is adjacent to 4?
Answers
What do you call a line segment which passes throughthe center of the circle from on side to the other?
Answers
\({\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}\)
DiameterAnswer:
diameter of the circle
Step-by-step explanation:
A chord that passes through a circle's centre is a diameter of the circle.
Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables r = 0.123 What is the value of the coefficient of determination ? r ^ 2 = (Round to four decimal places as needed.)
Answers
The coefficient of determination is the square of the correlation coefficient, and the value is 0.0151
How to determine the coefficient of determination?The given parameter is:
Correlation coefficient, r = 0.123
Rewrite as:
r = 0.123
Take the square of both sides
r² = 0.123²
Evaluate the square
r² = 0.015129
Approximate
r² = 0.0151
The coefficient of determination is represented by r²
Hence, the coefficient of determination is 0.0151
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Jeffrey by 203 sheets of stickers each sheet has a dozen stickers he gave away 907 stickers to his friends and family on Valentine’s Day how many stickers does Jeffrey have remaining
Answers
Answer:
1529
Step-by-step explanation:
203*12
2436-903
1529
Answer:
1529 stickers left
Step-by-step explanation:
203 × 12 = 2436
2436 - 907 = 1529
Pls help this last question
Answers
Answer:
4 more pens
Step-by-step explanation:
Well, what do we know?
We know Sheila has:
6 pens
10 pencils
How many MORE pens does she need to make the number of pens equal to the number of pencils?
6 + x (x is the number of pens needed to EQUAL to 10)
6 + x = 10
x = 4
Sanity check:
6 + 4 = 10
Sheila needs 4 more pens to make the number of pens and pencils equivalent, or EQUAL TO each other.
What is the exponential function of Y 3x?
Answers
The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞). The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.
What is Function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
Given function y = \(3^x\) is an exponential function the graph for this function is given ;
The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞)
The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.
As x approaches +∞ the function y also approaches +∞.
Since, the exponential function y = 3x is graphed, with the domain being (-∞ to +∞) and the range being (0 to +∞).
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Critique each of the following proposed research plans. Your critique should explain any problems with the proposed research and describe how the research plan might be improved. Include a discussion of any additional data that need to be collected and the appropriate statistical techniques for analyzing the data.
(a) A researcher is interested in determining whether a large firm is guilty of gender bias in setting wages. To determine potential bias, the researcher collects salary and gender information for all of the firm’s employees. The researcher then plans to conduct a "difference in means" test to determine whether the average salary for women is significantly different from the average salary for men.
(b) A researcher is interested in determining whether time spent in prison has a permanent effect on a person’s wage rate. He collects data on a random sample of people who have been out of prison for at least fifteen years. He collects similar data on a random sample of people who have never served time in prison. The data set includes information on each person’s current wage, education, age, ethnicity, gender, tenure (time in current job), and occupation, as well as whether the person was ever incarcerated. The researcher plans to estimate the effect of incarceration on wages by regressing wages on an indicator variable for incarceration, including in the regression the other potential determinants of wages (education, tenure, and so on).
Answers
The information provided indicates that the means test is too narrow because it excludes factors like the type of engineer, amount of education, and experience. The type of engineer or educational level may be a reflection of the gender with lower earnings.
Additional information on the factors, including gender, education, and the type of engineer, could enhance the research.
Then, it is advised to build a multiple regression where the wage is the dependent variable and the other four variables are independent variables. The "difference in means" test is not appropriate for identifying gender bias in salary setting due to the significance of the omitted variable.
The variables which are likely useful to add to the regression to control for important omitted variables are excessive drug or alcohol use and their gang activity.
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Someone please help answer !
Choose the number that is closest to the mean of the distribution
Answers
The mean of the distribution is 3
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
According to the first graph,
Given the bar of observations as :
0, 5, 6, 3, 1, 1, 3, 6, 4, 1
Here the Sum of Observations = 30
And the total number of observations = 10
The mean of the distribution = 30/10
The mean of the distribution = 3
According to the second graph,
Given the bar of observations as :
0, 1, 3, 3, 9, 0, 9, 4, 4, 1
Here the Sum of Observations = 34
And the total number of observations = 10
The mean of the distribution = 34/10
The mean of the distribution = 3.4
The mean of the distribution = 4 (closest)
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A
4
B
10
2
AABC - ATUV
Find x.
T
C
6
U
X = [?]
X
![A4B102AABC - ATUVFind x.TC6UX = [?]X](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/XxdoR9QVoVYbrp68o5WkUUaccyRULWHc.png)
Answers
The unknown length of the similar figure is:
x = 15 units
How to find the unknown length of the similar figure?Two figures are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides are also equal.
Using the above concept, we can equate the ratio of the corresponding sides and solve for the unknown lengths. That is:
TV/AC = TU/AB
x/10 = 6/4
x/10 = 1.5
x = 10 * 1.5
x = 15 units
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Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)
Answers
Answer:
Graph the line y = -2.
Step-by-step explanation:
A line with zero slope is a horizontal line. Find (0, -2) on the y-axis and draw a horizontal line through it. This will fully address this question.