a line passes trough the point { 0, -3/2} and has a slope of 1/2. what is the equation of the line?
* awnsers in the picture *
Answers
Solutions: x=1.
Hope this helps!
Related Questions
Name the minor arc and find it’s measure. Then name the major arc and find it’s measure.
Answers
The minor arc in the given diagram as required to be determined is; arc TU and it's measure is; 116°.
The major arc in the given diagram as required to be determined is; arc TVU and it's measure is; 244°.
What are the measures of the minor and major arcs in the diagram?It follows from the task content that the minor and major arcs are to be named and their measures determined as required.
The minor arc in a circle is usually subtended by an angle less than 180° while the major arc is subtended by an angle greater than 180°.
Ultimately, the minor arc is; arc TU and it's measure is; 116° while the major arc is; arc TVU and it's measure is; 244°.
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Is this one correct? Let me know please
Answers
Answer:
linear dimensions: 2 : 7areas: 4 : 49volumes: 8 : 343Step-by-step explanation:
You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.
AreaThe ratio of areas is the square of the similarity ratio:
2² : 7² = 4 : 49
VolumeThe ratio of volumes is the cube of the similarity ratio:
2³ : 7³ = 8 : 343
__
Additional comment
It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.
side length of a square or cube: smaller: 2", larger: 7"
area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²
volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³
<95141404393>
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2
Answers
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.
the larger number is 3 less then 4 times the smaller number. the sum of the numbers is 17 find the smaller and larger number
Answers
Answer:
Smaller number = 4
Larger number = 13
Step-by-step explanation:
Smaller number = x
Larger number = 4x - 3
Sum of the numbers = 17
x + 4x -3 = 17 {Combine like terms}
5x - 3 = 17 {add 3 to boht sides}
5x = 17 + 3
5x = 20 {Divide both sides by 5}
x = 20/5
x = 4
Larger number = 4x - 3
= 4*4 -3
= 16 - 3
= 13
What is the volume of the rectangular prism shown below?
A. 476 in³
B. 4,760 in³
C. 1,700 in³
D. 340 in³
Answers
Answer:
B. 4760 in³
Step-by-step explanation:
V= l×w×h
=34×10×14
=4760 in³
What is the quotient of 6 and 1/4
Answers
Answer:
24
Step-by-step explanation:
6÷1/4
We do skip flip multiply where we keep the first number the same and then flip the second fraction and finally multiply
6 · 4/1
24/1
24
Hopes this helps please mark brainliest
Answer:24
Step-by-step explanation:
Quotient of 6 and 1/4 means 6 divided by 1/4
Dividing by a number is the same as multiplying by its reciprocal, so 6 divided by 1/4 is the same as 6 X 4 which is 24.
Someone help me with this!!!!.... Given f(x)=x^2−3x−4
and g(x)=|x+3|−2, which value is a solution to the equation f(x)=g(x) ?
A
−4
B
−3
C
−1
D
4
Answers
Answer:
C -1
Step-by-step explanation:
in such a case the simplest way is to simply try the 4 numbers and see :
x² - 3x - 4 = |x + 3| - 2
x² - 3x - 2 = |x + 3|
A x = -4
(-4)² - 3×-4 - 2 = |-4 + 3|
16 + 12 - 2 = 1
26 = 1
wrong.
B x = -3
(-3)² - 3×-3 - 2 = |-3 + 3|
9 + 9 - 2 = 0
16 = 0
wrong.
C x = -1
(-1)² - 3×-1 - 2 = |-1 + 3|
1 + 3 - 2 = 2
2 = 2
correct.
D x = 4
4² - 3×4 - 2 = |4 + 3|
16 - 12 - 2 = 7
2 = 7
wrong.
a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6
no of times:. 12. 16. 25. 18. 15. 14
what is the probability of getting
1?
2?
3?
4?
5?
6?
Answers
1.) Probability of getting 1: 0.12 or 12%.
2.) Probability of getting 2: 0.16 or 16%.
3.) Probability of getting 3: 0.25 or 25%.
4.) Probability of getting 4: 0.18 or 18%.
5.) Probability of getting 5: 0.15 or 15%.
6.) Probability of getting 6: 0.14 or 14%.
To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:
Number: 1 2 3 4 5 6
Times: 12 16 25 18 15 14
To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):
Probability of getting 1 = 12 / 100 = 0.12.
Probability of getting 2 = 16 / 100 = 0.16.
Probability of getting 3 = 25 / 100 = 0.25.
Probability of getting 4 = 18 / 100 = 0.18.
Probability of getting 5 = 15 / 100 = 0.15.
Probability of getting 6 = 14 / 100 = 0.14.
Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:
1: 0.12 or 12%,
2: 0.16 or 16%,
3: 0.25 or 25%,
4: 0.18 or 18%,
5: 0.15 or 15%,
6: 0.14 or 14%.
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Please Help
Solve x= 10+5/2
Answers
Answer:
Step-by-step explanation:
20/2 + 5/2 = 25/2 = 12 1/2
Hi! free one hundred points for anyone who answers also whoever answers ill give brainiest!
Answers
Answer:
what is your question?
Step-by-step explanation:
Answer:
Central Pacific
Step-by-step explanation:
built a track from Sacroimento eastward
Luis deposits an amount of $2000 into an account. The account returns 2.4% interest, compounded quarterly.
How much does Luis have in his account after 4 years?
Answers
Answer:
$2,200.89
Step-by-step explanation:
hope this helps.
Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answers
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answers
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
Please help if you can thanks
Answers
The probability that:
(a) 47 or more products fail is approximately 0.9525.(b) 58 or fewer products fail is approximately 0.5250.(c) 5 or more products succeed is approximately 0.7151.(d) 10 products succeed is approximately 0.3522.How to find probability?First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).
So,
np = 700.83 = 58.1,
n(1-p) = 700.17 = 11.9.
Both quantities are larger than 5, so use the normal approximation.
Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.
(a) within 2 years 47 or more fall:
This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.
So the probability that 47 or more products fail is approximately 0.9525.
(b) within 2 years 58 or fewer fail:
This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.
So the probability that 58 or fewer products fail is approximately 0.5250.
(c) within 2 years 15 or more succeed:
Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.
The probability that a standard normal variable is greater than -0.567 is 0.7151.
So the probability that 15 or more products succeed is approximately 0.7151.
(d) within 2 years fewer than 10 succeed:
This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.
The probability that a standard normal variable is less than 0.377 is 0.6478.
However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.
So the probability that fewer than 10 products succeed is approximately 0.3522.
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Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
Answers
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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Traven put a gallon of gas in his car and pays $22 what is the cost of 1 gallon of gas complete the table
Answers
Answer:
pls mark me brainliest the answer
Step-by-step explanation:
a gallon= 22$
1 gallon = 7.3$
Select the correct answer.
Solve the following equation by completing the square.
1/4x^2 + x + 1/4 = 0
Answers
Answer:
the answer is it the picture
Step-by-step explanation:
I think that's the answer
...I think...
$1900 at 5.9% interest for 18 months. What would the interest be?
Answers
Solution:
To solve this problem, we will use PRT/100.
Where:
P = principle = $1900 (As stated)R = rate = 5.9% (As stated)T = time = 18 months (As stated)1. Converting the number of months into years.
\(\bullet \ \ 1 \ \text{year} = 12 \ \text{months}\)
\(\bullet \ \ \rightarrow \text{x years = 12x months = 18 months}\)
\(\bullet \ \ \rightarrow \frac{12x}{12} = \frac{18}{12}\)
\(\bullet \ \ \rightarrow x = 1.5 \ \text{years}\)
2. Using PRT/100:
\(\bullet \ \ \rightarrow \dfrac{P \times R \times T}{100}\)
\(\bullet \ \ \rightarrow \dfrac{1900 \times 5.9 \times 1.5}{100}\)
\(\bullet \ \ \rightarrow19 \times 5.9 \times 1.5}\)
\(\bullet \ \ \rightarrow \boxed{\$168.15}\)
Thus, the interest will be \(\bold{\$168.15}\).
Land's Beginning is a company that sells its merchandise through the mail. It is considering buying a list of addresses from a magazine. The magazine claims that at least 25% of its subscribers have high incomes (they define this to be household income in excess of $100,000). Land's Beginning would like to estimate the proportion of high-income people on the list. Checking income is very difficult and expensive but another company offers this service. Land's Beginning will pay to find incomes for an SRS of people on the magazine's list. They would like the margin of error of the 95% confidence interval for the proportion to be 0.05 or less. Use the guessed value p = 0.25 to find the required sample size.
Answers
Solution :
It is given that we use CI = 95%
Therefore, the value of z = 1.96 as the \($P(-1.96 <z<1.96)=0.95$\)
Also, here it is given that E = 0.05 and the value of p = 0.25
Thus from the formula of E, we can find n
\($E= z \times \sqrt{\frac{pq}{n}}\)
\($n= \left(\frac{z}{E}\right)^2 \times p \times q$\)
\($n= \left(\frac{1.96}{0.05}\right)^2 \times 0.25 \times 0.75$\)
= 288.12
= 289
Use the given points to write a system of two linear equations with the two unknowns being the slope and y-intercept of the line. Solve the system to identify those parameters and write the equation for the line passing through the two points in slope-intercept form.
(2, 5) and (6, 2)
(-1, 3) and (0, -2)
(-2, -4) and (2, 1)
Answers
The equations of the lines passing through the specified points in slope-intercept form are;
The equation of the line passing through the point (2, 5) and (6, 2) is; y = (-3/4)·x + 6.5The equation of the line passing through the points (-1, 3) and (0, -2) in slope-intercept form is; y = -5·x - 2The line passing through the points (-2. -4) and (2, 1) is; y = 1.25·x - 1.5What is the equation of a line in slope-intercept form?The slope-intercept form of the equation of a line is; y = m·x + c
Where;
m = The slope of the line
c = The y-intercept
The points are; (2, 5), and (6, 2)
The slope and the y-intercept of the line are found as follows;
Let m represent the slope and let c represent the y-intercept, we get the following system of equations;
5 = 2·m + c...(1)
2 = 6·m + c...(2)
Therefore;
The difference between the two equations are;
5 - 2 = 2·m - 6·m + (c - c)
3 = -4·m
m = -3/4
5 = 2·m + c
Therefore;
5 = 2 × (-3/4) + c
c = 5 + 2 × (3/4) = 6.5
The equation is therefore; y = -(3/4)·x + 6.5The points are; (-1, 3) amd (0, -2)
The equation are;
3 = -1·m + c...(1)
-2 = 0×m + c...(2)
Therefore;
c = -2
3 = -1·m + c
3 = -1·m - 2
m = (3 + 2)/(-1) = -5
The equation is therefore;
y = -5·x - 2The points are; (-2, -4) and (2, 1)
The equation are;
-4 = -2·m + c...(1)
1 = 2·m + c...(2)
Subtracting equation (2) from equation (1), we get;
-4 - 1 = -2·m - 2·m = -4·m
-5 = -4·m
m = -5/(-4) = 1.25
m = 1.25
-4 = -2·m + c
Therefore;
-4 = -2 × 1.25 + c
-4 = -2.5 + c
c = -4 + 2.5 = -1.5
c = -1.5
The equation is therefore; y = 1.25·x - 1.5
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(please help all the points i got left)
Let x represent the speed of the raft when it is in still water.
What rational equation represents this situation?
rate
Use the relationship time distance to create the equation.
Keep in mind that the total rafting time includes both the time
it takes to raft upstream and downstream.
=
Answers
Answer:
6 = 5/(x+2) +5/(x -2)
Step-by-step explanation:
You want a rational equation that expresses a total travel time of 6 hours for a trip downstream 5 miles and back in a raft of speed x with respect to a current of speed 2 miles per hour.
SpeedThe speed of travel downstream is the sum of the raft speed and the current speed: x +2.
The speed of travel upstream is the difference of raft speed and the current speed: x -2.
TimeThe travel time is the distance divided by the speed of travel. We want the total travel time to be 6 hours, so we will add the downstream time and the upstream time:
6 = 5/(x+2) +5/(x -2) . . . . . . your rational equation
__
Additional comment
The solution of interest is x = 3 miles per hour. This makes the raft take 1 hour to go downstream and 5 hours to return. You may also see an extraneous solution of x = -4/3.
HELP Which expression is equivalent to the given expression?
5x−2
A: 2−5x
B: 2x−2+3x
C: 3−5+2x
D: 5x−2x
Answers
A Benjamin takes $75 from his savings. He goes shopping for school suppliesand has $35 left when he is done1. How much has he spent?
Answers
A sequence of transformations is applied to triangle CDE to create triangle C'D'E'.
Select all the sequences of transformations that could be applied to triangle CDE so that triangle CDE is congruent to triangle C'D'E'.
(Choose 3 Choices)
Question 1 options:
a clockwise rotation of 90 degrees and then a dilation be a scale factor of 2
a dilation by a scale factor of 2 and then a reflection across the y-axis
a clockwise rotation of 90 degrees and then a reflection across the y-axis
a translation 5 units down and then a dilation by a scale factor of 2
a translation 5 units down and then clockwise rotation of 90 degrees
a reflection across y-axis and then translation 5 units down
Answers
Answer: a c e are the correct ones i think
Express as a trinomial.
(2x+10)(2x+3)
Answers
Answer:
\(4 {x}^{2} + 26x + 30\)
Step-by-step explanation:
\((2x + 10)(2x + 3) \\ \\ = 2x(2x + 3) + 10(2x + 3) \\ \\ = 4 {x}^{2} + 6x + 20x + 30 \\ \\ = 4 {x}^{2} + 26x + 30\)
The total number of hours each student spends volunteering in their
community is shown in the stem-and-leaf plot.
Hours Volunteered
Stem Leaf
1012479
2122578
303336
4 112
Which statement is supported by the data in the stem-and-leaf plot?
OA. The number of students who volunteered more than 30 hours is
greater than the number of students who volunteered fewer than
30 hours.
Answers
The most common number of hours volunteered is 22.
Option B is the correct answer.
We have,
A.
The number of students who volunteered more than 30 hours is greater than the number of students who volunteered fewer than 30 hours.
This can not be determined from the given stem-and-leaf plot as it only shows the frequency distribution of hours volunteered without any specific count of students.
The plot only indicates that there are some students who volunteered between 31-36 hours (stem 3, leaves 33, and 36) and one student who volunteered for 44 hours (stem 4, leaf 4).
Therefore, option A is not supported by the given data.
B.
The most common number of hours volunteered is 22.
From the stem-and-leaf plot, we can see that the mode is 22 as it has the highest frequency (stem 2, leaves 2, 5, 7, 8).
Hence, option B is supported by the given data.
C.
The number of students who volunteered between 9 and 20 hours is greater than the number of students who volunteered more than 40 hours.
This statement cannot be confirmed by the given stem-and-leaf plot as there are no leaves in stem 1, which means there are no students who volunteered less than 10 hours. Also, there are no leaves in stem 4, except for one leaf with a value of 44.
Therefore, we can not determine how many students volunteered between 9-20 hours and more than 40 hours. Hence, option C is not supported by the given data.
D.
The most common number of hours volunteered is 41.
There are no leaves in stem 4 except for the value of 44, which means there is no student who volunteered for 41 hours.
Hence, option D is not supported by the given data.
Therefore,
The most common number of hours volunteered is 22.
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Solve the system by the addition method. x + 3y = 6 3x + 4y = −2
Answers
The solution to the system is x = -6 and y = 4.
To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.
Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:
-3x - 9y = -18
+ 3x + 4y = -2
-------------
-5y = -20
Now we can solve for y by dividing both sides by -5:
y = 4
We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:
x + 3(4) = 6
x + 12 = 6
x = -6
So the solution to the system is x = -6 and y = 4.
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how many inches is 2 1/6 ft
Answers
Answer:
26 inches
Step-by-step explanation:
You find out that 1 foot equals 12 inches
times 2 by 12 equaling 24
24 added by 2 is 26
1/6 as a decimal is 1.83 infinitive 3 which is rounded to 2 as the whole number
makes your answer 26 inches
Hope that helps
Nichols has decided to buy 1.5 pounds of sour patch kids. How much will the sour patch kids cost
Answers
Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits.
Answers
4.59294117…cm
842.538461m/s