Answer:
y = 3x -5
Explanation:
Since it's parallel, it will have the same slope: 3.
So you'll have y = 3x + a, and we need to find a.
Plug in the values for the point we are given:
7 = 3(4) + a
7 = 12 + a
a = -5
So there you have it: y = 3x - 5Answer:
y=3x-5
Step-by-step explanation:
y=3x+6
since the line is parallel, the slope will be the same (but y int is still unsolved)
so plug in x,y from (4,7) in y=mx+b or y-y1=m(x-x1)
i used y=mx+b
7=3(4)+b
7=12+b
b=(-5)
so the final answer is y=3x-5
:)
Rajesh inherited an investment account with a current balance of 30,000. it compounds monthly with a rate of 9.48%. He has made arrangements to withdraw $250 automatically every month to pay off his 10-year student loan. Will Rajesh have enough money in the account to cover all of the required loan payments?
Answer:
Step-by-step explanation:
Assuming the interest rate remains constant throughout the 10-year period, Rajesh will have enough money in the account to cover all of the required loan payments. The total amount of money he will withdraw over the 10-year period will be $30,000 (250 x 12 months x 10 years). At the end of the 10-year period, he will have $50,847.90 in the account, which is more than enough to cover the required loan payments.
Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
14 units
VX
0 38 units
3x - 1
44 units
2x + 2
49 units
D
2y + 6
С
Answer:
3rd option, 44 units
Step-by-step explanation:
3x-1 = 2x+2
or, x = 3
so each side, 3×3-1 = 8
4y-2 = 2y+6
or, y = 4
so each side, 4×4-2 = 14
so perimeter
= 2(8+14)
= 44 units
Answered by GAUTHMATH
which function in the random library will generate a random integer from 0 to the parameter value inclusive?
The function in the random library that generate a random integer from 0 to the parameter value inclusive is random.randint() function
What is a function?Functions are another key idea in programming because they let you put a piece of code that performs a specific purpose inside a specified block and then call that code whenever you need it with a single, brief command rather than repeatedly typing the same code.
What are parts of a function in coding?Code units that are "self contained" and carry out a particular purpose are called functions. Typically, functions "take in," "process," and "return" data and results. Once a function has been developed, it may be utilized countless times.
From the above definition, we get that
The function in the random library will generate a random integer from 0 to the parameter value inclusive is random.randint() function
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Alice bought 300 sheets of lined paper for the school year. If she used 64 sheets during the first month, how many sheets does she have left?
Answer:
236 lined paper
Step-by-step explanation:
Answer:
236 So basically you subtract 300 - 64 Please gimme brainliest for me to become an expert
Step-by-step explanation:
what is the 60th percentile of breaking strength for this type of fishing line? round your answer to 2 decimal places.
the 60th percentile of breaking strength for this type of fishing line is
k= 6.64
assume that k pounds is the both percentile of breaking strength for this type of finishing line
p( x<k) = 0.60
p( x- 6.44/0.75 < k- 6.44/0.75)= 0.60
then k-6.44 /0.75 = 0.26
thus k= 6.64
Hence , the 60th percentile of breaking strength for this type of fishing line is 6.64
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Is the dilation an enlargement or a reduction? What is the scale factor of the dilation?
O reduction; 1/2
O enlargement; 2
Oreduction; 2
O enlargement;
1/2
Answer:
enlargement ; 2
Step-by-step explanation:
dilation is change in the size of the figure.
in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.
scale factor = dimension of new shape / dimension of original shape
let's calculate the difference in terms of boxes of both figures to calculate the scale factor,
scale factor = 6/3
thus, in the given dilation we have enlargement of 2
Which expression is equivalent to (8−2 • 35)−2?
100 points and brainliest
Answer: -64
Step-by-step explanation:
(8−2 • 35)−2
8-70-2
8-72
-64
Answer:
(8 - 2 • 35) - 2 = -64
Step-by-step explanation:
Given problem,
→ (8 - 2 • 35) - 2
Let's solve the problem,
→ (8 - 2 • 35) - 2
→ (8 - (2 × 35)) - 2
→ (8 - 70) - 2
→ -62 - 2
→ -64
Hence, the answer is -64.
Determine whether the events A and B are independent. A balanced die is rolled twice. Event A: The sum of the two rolls is 8 Event B: The first roll comes up 3
The occurrence of event B (the first roll coming up as 3) affects the probability of event A (the sum of the two rolls being 8), indicating that the events are dependent.
To determine whether events A and B are independent, we need to analyze their relationship based on the given information.
Event A: The sum of the two rolls is 8.
Event B: The first roll comes up 3.
To assess independence, we need to consider whether the outcome of one event affects the probability of the other event occurring. In this case, we can break down the probabilities for each event individually and then compare them to the joint probability.
Let's calculate the probabilities for each event:
Event A:
To get a sum of 8 on two rolls of a balanced die, we can have the following combinations: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2). There are a total of 36 possible outcomes when rolling a die twice (6 possibilities for the first roll and 6 possibilities for the second roll).
Therefore, the probability of event A is P(A) = 5/36.
Event B:
To get a first roll of 3, there is only one possible outcome: (3, x), where x can be any number from 1 to 6.
Therefore, the probability of event B is P(B) = 1/6.
To determine whether the events are independent, we need to compare the joint probability (the probability of both events occurring simultaneously) with the product of their individual probabilities.
Let's calculate the joint probability:
The possible outcome for both events is (3, 5), where the first roll is 3 and the sum is 8. Therefore, the joint probability is P(A and B) = 1/36.
If events A and B are independent, the joint probability should be equal to the product of their individual probabilities:
P(A) * P(B) = (5/36) * (1/6) = 5/216.
Comparing the joint probability (1/36) with the product of individual probabilities (5/216), we can see that they are not equal. Therefore, events A and B are not independent.
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Question
Determine whether the events A and B are independent A balanced die is rolled twice. Event A: The sum of the two rolls is 8 Event B: The first roll comes up 2 A. False B. True
This is the second part of a three-part problem. Consider the systom of differential equations
y
1
′
=y
1
+3y
21
y
2
′
=3y
1
+y
2
+
Verify that for any constants c
1
and c
2
, the functions
y
1
(t)=c
1
e
u
+c
2
e
−2t
y
2
(t)=c
1
c
u
−c
2
e
−2t
satisfy the system of differential equations. Enter c
1
as of and c
2
as c2. a. Find the value of each term in the equation y
1
′
=y
1
+3y
2
in terms of the variable f (Enter the terms in the order given.) b. Find the value of each term in the equation y
2
′
=3y
1
+y
2
in terms of the variable f (Enter the terms in the order given.)
The given system of differential equations is:
y1' = y1 + 3y2
y2' = 3y1 + y2
We need to verify that the functions:
y1(t) = c1e^(ut) + c2e^(-2t)
y2(t) = c1ue^(ut) - c2e^(-2t)
satisfy the system. In part (a), we find the value of each term in the equation y1' = y1 + 3y2 in terms of the variable f. In part (b), we find the value of each term in the equation y2' = 3y1 + y2 in terms of the variable f.
(a) To find the value of each term in y1' = y1 + 3y2, we differentiate y1(t) with respect to t. The derivative of c1e^(ut) is c1ue^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:
y1' = c1ue^(ut) - 2c2e^(-2t) + 3(c1ue^(ut) - c2e^(-2t))
Combining like terms, we get:
y1' = (2c1u + 3c1u)e^(ut) + (-2c2 - 3c2)e^(-2t)
(b) Similarly, we differentiate y2(t) with respect to t. The derivative of c1ue^(ut) is c1u^2e^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:
y2' = c1u^2e^(ut) - 2c2e^(-2t) + 3(c1e^(ut) + c2e^(-2t))
Combining like terms, we get:
y2' = (c1u^2 + 3c1)e^(ut) + (-2c2 + 3c2)e^(-2t)
Therefore, the value of each term in y1' = y1 + 3y2 is given by:
Term 1: (2c1u + 3c1)e^(ut)
Term 2: (-2c2 - 3c2)e^(-2t)
And the value of each term in y2' = 3y1 + y2 is given by:
Term 1: (c1u^2 + 3c1)e^(ut)
Term 2: (-2c2 + 3c2)e^(-2t)
These results verify that the functions y1(t) and y2(t) satisfy the given system of differential equations.
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4 Questions. 100 points are being offered. These do not make any sense. I keep getting different answers than the answer choices.
All the solutions are,
⇒ LSA = 80.4π yards²
⇒ LSA = 321.6π yards²
⇒ V = 2786.2 yards³
⇒ SA = 186.5 inhces²
Now, We can simplify as;
1) Slant Height = 13.4 yards
Diameter = 12 yards
Hence, Radius = 6 yards
Since, Lateral surface area of cone is,
⇒ LSA = πrl
⇒ LSA = π × 6 × 13.4
⇒ LSA = 80.4π yards²
2) Slant Height = 26.8 yards
Hence, Radius = 12 yards
Since, Lateral surface area of cone is,
⇒ LSA = πrl
⇒ LSA = π × 12 × 26.8
⇒ LSA = 321.6π yards²
3) Height = 22 yards
Diameter = 22 yards
Hence, Radius = 11 yards
Since, Volume of cone is,
⇒ V = πr²h/3
⇒ V = π × 11² × 22 / 3
⇒ V = 2786.2 yards³
4) Surface area of pyramid is,
SA = (8 x 7) + 1/2 x (2 x (8 + 7) x 8.7
SA = 56 + 15 x 8.7
SA = 186.5 inhces²
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complete question:
attached
if a researcher wants to be able to generalize about a population using data pulled from a sample, it is best to use:
In order for a researcher to generalize about a population using data from a sample, it is best to employ the principles of statistical inference. Statistical inference allows researchers to draw conclusions about a larger population based on the characteristics and findings of a smaller sample.
By employing appropriate sampling techniques, ensuring sample representativeness, and utilizing statistical analysis, researchers can make valid inferences and generalize their findings to the larger population. When researchers aim to generalize about a population using data from a sample, they need to employ statistical inference techniques. Statistical inference involves using sample data to make conclusions or inferences about a larger population. It allows researchers to bridge the gap between the sample and the population by utilizing appropriate sampling techniques and statistical analysis. To begin with, researchers must use proper sampling methods to ensure that the sample is representative of the population of interest. Random sampling, where every individual in the population has an equal chance of being included in the sample, is often preferred. This helps minimize bias and increases the likelihood that the sample accurately represents the population's characteristics. Additionally, researchers need to employ statistical analysis techniques to draw valid conclusions. They can use descriptive statistics to summarize the characteristics of the sample and inferential statistics to make inferences about the population based on the sample data. Techniques such as hypothesis testing and confidence intervals allow researchers to quantify the uncertainty associated with their findings and assess the generalizability of their results. By combining appropriate sampling methods and statistical analysis techniques, researchers can make reliable generalizations about a population based on their sample data. It is crucial to acknowledge the limitations and assumptions of statistical inference and consider factors such as sample size, variability, and potential sources of bias to ensure the accuracy and validity of the generalizations made.
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A marketing assistant for a technology firm plans to randomly select 1000 customers to estimate the proportion who are satisfied with the firm's performance. Based on the results of the survey, the assistant will construct a 95% confidence interval for the proportion of all customers who are satisfied. The marketing manager, however, says that the firm can afford to survey only 250 customers. How will this decrease in sample size affect the margin of error and confidence interval? True Statements False Statements The margin of error will be about 2 times larger. The margin of error will be about 4 times larger The margin of error will be about the same size. The margin of error will be about half as farge. The margin of error will be about one-fourth as large. The confidence interval will be wider. The confidence interval will be narrower.
Work out x^2- 2x
when x =4
Answer:
8
Step-by-step explanation:
\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)
Provide an example of each of the following. a. a. two like terms: _______ and _______
b. an expression: _________
c. a binomial:____________
d. a function rule for a quadratic function: __________
a. Two like terms: 3x and 5x. Both terms have the same variable, which is x, raised to the power of 1.
b. An expression: 2x^2 + 3y - 5. This expression consists of multiple terms, including a quadratic term (2x^2), a linear term (3y), and a constant term (-5).
c. A binomial: 4x + 7. A binomial is an algebraic expression with two unlike terms connected by either addition or subtraction. In this example, the binomial consists of the terms 4x and 7 connected by addition.
d. A function rule for a quadratic function: f(x) = 2x^2 - 3x + 1. This function rule represents a quadratic function with a leading coefficient of 2, a linear coefficient of -3, and a constant term of 1. The variable x is squared, and the function represents a parabolic shape when graphed.
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Help ASSAP . Find the perimeter I will give you 20 points and brainlyist.
Answer:
I think it may be 120 cm
Step-by-step explanation:
A F is 13 using pythagorean theorem on triangle CED and applying the hypotenuse length to A F.
ABC is similar to triangle CED and is dilated by a factor of 3 so the base is 36.
using pythagorean theorem on triangle ABC gets the hypotenuse length of 39 which can be applied to FE
add all the values together
39 + 13 + 15 + 36 +12 +5 = 120
Match the following equations to their solutions. (Answers should be ordered pairs like this (x,y)
2x - y = 14
y = -2x - 1/2
7 + 5x = y + 7
3x + 2y = 36
6 - x = 4y
9x = 2y
Answer:
1. (8,2)
2. (-0.25,0)
3. (1,5)
4. (10,3)
5. (6,0)
6. (2,9)
The points (2, 10) and (0, 4) fall on a particular line. What is its equation in slope-intercept form?
Answer:
slope=x^2-x^1/y^2-y^1
this is the formula.
80 POINTS! Help with this question please!!!! 80 POINTS!
Answer:
C. Translation 5 units left and 2 units down
Step-by-step explanation:
Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).
Look to see if this works for the other two points:
B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.
C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.
Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.
A picture will be shown below of a graph with the points in the table.
We only need to use (5, 2) and (0, 0) to solve this problem.
We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).
Therefore, the answer is [ C. Translation 5 units left and 2 units down ]
Best of Luck!
Aiden misses 10% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 66?
Answer:
660 free throwsStep-by-step explanation:
Let the total is x.
10% or total is 66, find x:
0.1x = 66x = 66/0.1x = 660If angle 1 = (2x+5) and angle 7 = (4x-17), find x
The value of x is 11
What is supplementary angle ?
Two angles are said to be supplementary if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always supplementary. But two angles don't have to be close to one another to be supplementary. In the following image, 3 and 4 are supplementary since their sums equal 180 degrees.
Angles ∠1 and ∠7 are alternate exterior angles where a transversal crosses parallel lines, so are congruent.
∠ 1 = ∠ 7
∴2x + 5 = 4x - 17
4x - 2x =17+5
2x = 22
x = \(\frac{22}{2}\)
x = 11
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Solve for x . 8x-3 & 4x+3
8x-3+4x+3=180
?x+_=180
Answer:
x = 15
Step-by-step explanation:
the 2 angles are a linear pair and sum to 180° that is
8x - 3 + 4x + 3 = 180
12x = 180 ( divide both sides by 12 )
x = 15
The angles are supplementary angles. Then the value of the variable 'x' will be 15.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angles are 8x - 3 and 4x + 3. And they are supplementary angles. Then the equation is given as,
8x - 3 + 4x + 3 = 180
Simplify the equation, then we have
8x - 3 + 4x + 3 = 180
12x + 0 = 180
x = 15
The angles are supplementary angles. Then the value of the variable 'x' will be 15.
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Find the circumference of this circle
using 3 for TT.
13
C ~ [?]
C
M
<
C = 27ır
=
Answer:
2×3×13=78
since they say use 3 for pi
they are not telling the unit aswell so just put the number
A quadrilateral is inscribed in the circle.What is the value of x?20(6y + 12)(4x + 80°1688(6x-28)(5y + 3)18
4x + 8 + 6y + 12 + 5y + 3 + 6x - 28 = 360
10x + 11y + -5 = 360
10x + 11y = 365
Substituting the possible solutions
10(20) + 11y = 365
200 + 11y = 365
11y = 365 - 200
11y = 165
y = 165/11
y = 15
So, after doing this procedure for all the possible solutions, the only with a whole number as a result is the number 20.
So, the result is 20.
Simplify x = cos[2 arcsin(3/5)].
-7/25
7/25
4/5
Answer:
7/25
Step-by-step explanation:
Let \(\theta= \arcsin(\frac{3}{5})\) so we have \(x=\cos(2\theta)\)
As \(\cos(2\theta)=\cos^2\theta-\sin^2\theta\), we'll have \(\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2\)
To determine \(\cos(\arcsin(\frac{3}{5}))\), construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since \(\theta=\arcsin(\frac{3}{5})\), then \(\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}\). If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, \(\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}\). This means that \(\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}\).
Hence, \(\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}\)
a.by calculating differences, show that these data can be modeled using a linear function.b.what is the slope for the linear function model-ing high school graduations? explain in practical terms the meaning of the slope.c.find a formula for a linear function that models these data.d.express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
We can show that these data can be modeled using a linear function in the following manner:
a) We must compute the differences in the number of high school graduates in each year in order to model the data using a linear function. For instance, the difference between the 1993 and 1994 graduation rates is 5,479 - 5,410, or 69. This pattern of differences suggests that a linear function can be used to model the data.
The annual change in the number of graduates serves as the slope for the linear function. The slope, for instance, is 69 between 1993 and 1994 and 76 between 1994 and 1995. The slope for the linear function is, in general, the difference between the number of graduates in successive years, therefore it is the slope between graduates in consecutive years.
b) Y = mx + b, where y is the number of graduates, x is the year, m is the slope, and b is the y-intercept, is the formula for a linear function that represents the data. We need to know the values of m and b in order to calculate the formula for the linear function that describes the data.
We can use the slope between any two consecutive years to get the value of m. For instance, m = 69 since the slope from 1993 to 1994 is 69. The number of graduates in the first year of the data, which is the y-intercept, can be used to determine the value of b.
For instance, if the first year of the data is 1993 and that year had 5,479 graduates, then b = 5,479. Consequently, y = 69x + 5,479 is the equation for the linear function that models the data.
c) Functional notation can be used to indicate the number of high school graduates in 1994. The formula is y = 69x + 5,479, where x is the year and y is the total number of graduates. Therefore, y = 69(1994) + 5,479 = 137,123 is the total number of graduates in 1994. We may enter the numbers of x and b into the formula from section c to obtain y = 69 (1994) + 5,479 = 137,123.
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Consider the following function.
f(x) = x2 + 5, (1, 6)
(a) Find an equation of the tangent line to the graph of f at the given point.
y =
Answer:
y = 2x +4
Step-by-step explanation:
You want the equation of the tangent line to f(x) = x² +5 at the point (1, 6).
SlopeThe slope of f(x) at x = 1 is its derivative at that point.
f'(x) = 2x
f'(1) = 2(1) = 2
EquationThe point-slope equation of a line is ...
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
We want a line with slope 2 through point (1, 6), so its equation will be ...
y -6 = 2(x -1)
In slope-intercept form, this is ...
y = 2x -2 +6
y = 2x +4 . . . . equation of tangent line
<95141404393>
1/3(2b + 9) = 23(b + 9/2)
B = -9/2
Hopefully this helps and this is what you're looking for.
Solve the following formula for
x
y=2mx+3b
Answer:
X=2m+3b/y. I th ink that the answer.
Triangle ABC is a right triangle with CD | AB. Angle C is a right angle.
(BC)²+(AC)² = (AB)(BD + AD). Using
gives Blank space for answering Question.
(BC)²+(AC)=(AB) (AB), which simplifies to (BC)2 + (AC)2 = (AB)2
Possible answers
CPCTC
Side-Angle-Side Similarity Postulate
congruent
Side-Side-Side Similarity Postulate
segment addition postulate
proportional
First blank: Side-Angle-Side similarity postulate
Second blank: proportional
a rectangle has a height of 222 and a width of 5x^2-2x 35x 2 −2x 35, x, squared, minus, 2, x, plus, 3.
The area of the rectangle with a height of 222 and a width of 5x^2 - 2x + 35 is given by the expression 1110x^2 - 444x + 7770.
The rectangle has a height of 222 and a width of 5x^2 - 2x + 35.
To find the area of the rectangle, we multiply the height by the width. Let's substitute the given values:
Area = height * width
Area = 222 * (5x^2 - 2x + 35)
To simplify the expression, we can distribute the 222 to each term within the parentheses:
Area = 222 * 5x^2 - 222 * 2x + 222 * 35
Now, let's further simplify each term:
Area = 1110x^2 - 444x + 7770
Therefore, the area of the rectangle with a height of 222 and a width of 5x^2 - 2x + 35 is given by the expression 1110x^2 - 444x + 7770.
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