Answer:
Step-by-step explanation:
You can find x and y intercepts when graphing by looking where the line crosses the y axis and the x axis.
You can find them in a table by looking for 0 as the x value (for the y intercept) and 0 as the y value (for the x intercept.
Answer:
Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.
Step-by-step explanation:
Find the point on the y-axis that is 7 units from the point (−7, −5).
The point which is on the y-axis and is the y axis and is 7 units from the point (-7, -5) is;
What is the point on the y-axis that is 7 units from the point (−7, −5)?Since the point is on the y-axis, it follows that it's x-coordinate is zero and hence; the point is; (0, y).
The distance is therefore 7 units and hence;
7² = (-7-0)² + (y - (-5))²
49 -49 = (y +5)²
0 = y +5
y = -5
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ima need help, I'm confused about this depth stuff
\(v (total)= v(r \: p \: ) + v(c)\)
\(v(t) = lwh + \pi {r}^{2} h\)
\(v(t) =( 18 \times 10 \times 5 )+( 3.14 \times {5}^{2} \times 5) \\ \)
\(v(t) = 900 + 392.50\)
\(v(t) = 1292.50 \: \: \: {ft}^{3} \)
Depth is also referred as height.
Volume of the rectangular part = l b h
= 18 × 10 × 5
= 900 ft³
Volume of two semi circular parts = 4 / 3 π r³
= 4 / 3 × 5 × 5 × 5 × π
= 523.8 ft³
Total Volume of the figure = 1423.8 ft³
_________ refers to the use of sample data to calculate a range of values that is believed to include the value of the population parameter.
a. Hypothesis testing
b. Interval estimation
c. Point estimation
d. Statistical inference
Answer:
b. Interval estimation
Step-by-step explanation:
There are two types of estimations for each population parameter; the point estimation and confidence interval (CI) estimation.
The point estimation involves the use of sample data to calculate a single value which serve as a best estimate of an unknown population parameter.
The interval estimation is the use of sample data to calculate range of possible values of an unknown population parameter.
Therefore, the correct option is "b"
b. Interval estimation
A drinks bottling production line has a relative frequency failure rate of 0.0045 If 2,000,000 bottles of pop are produced per day, how many of them will be faulty?
Answer:
9,000
Step-by-step explanation:
2,000,000 times 0.0045 = 9,000
ASAP!!! Please help me solve
Answer: j(x) = (x-1)(x+2)
The x-1 part is because of the root x = 1
The root x = -2 leads to the factor x+2
No links please and make sure its correct.
Answer:
it is B
Step-by-step explanation:
he is putting in by the 3/5
Answer:
C.
Step-by-step explanation:
Why its C...
You can tell that on the top it say that the total is 15 so it can not be a. So now our answer choices are B, C, ad D.
Now it says that there are 3/5 highlighted but since the rest say 3/5 we can not eliminate yet.
Next we would multiply 3 x 3 to get 9 for how many dollars there are. Cross out B.
Between C and D, C is the most reasonable answer because it says how much did he put in the bank while the other one (D) says how much did he spend?
So it would be C
Hope this helps :)
24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?
Answer:
75%
Step-by-step explanation:
You do 18/24. This gives you 0.75 or 75%
Which choice is the solution to the inequality below?
\(9x \leqslant 72\)
A.
\(x \leqslant 63\)
B.
\(x \leqslant 2\)
C.
\(x \geqslant 8\)
D.
\(x \geqslant8\)
Answer:
x<= 8 ( Answer not in the given options)
Step-by-step explanation:
9x <= 9
divide both sides by 9 to get x
9x <= 72
9 9
x <= 8
20 POINTS PLEASE HELP ! Use the image to answer both parts of the question.
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Find the 36th term.
5, 8, 11, 14, 17, ...
36th term = [?
Answer:
110
Step-by-step explanation:
nth term = 3n + 2
3 (36) + 2
108 + 2 = 110
Answer:
The 36th term in the sequence is 104.
Here's how to find it:
- Start with the first number in the sequence: 5.
- Add the common difference, which is 3, to get the second number in the sequence: 8.
- Add the common difference to the second number to get the third number: 11.
- Continue adding the common difference to each subsequent number to find the next term in the sequence.
- The 36th term is three less than 37 times the common difference added to the first term.
- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.
- Therefore, the 36th term in the sequence is 104.
A plane flying horizontally at an altitude of 1 mile and a speed of 480 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 5 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
to the nearest whole number, we get:
dd/dt ≈ 490 miles per hour
Step-by-step explanation:
Let's call the distance between the plane and the radar station "d". We want to find the rate at which this distance is increasing when the total distance between the plane and the station is 5 miles.
We can use the Pythagorean theorem to relate the distance d to the altitude h of the plane:
d^2 = h^2 + x^2
where x is the horizontal distance the plane has traveled from directly above the station.
Taking the derivative of both sides with respect to time t, we get:
2d * dd/dt = 2h * dh/dt + 2x * dx/dt
where dd/dt is the rate at which the distance between the plane and the station is changing, and dh/dt and dx/dt are the rates at which the altitude and horizontal distance are changing, respectively.
At the moment when the plane is 5 miles away from the station, we have:
d = 5 miles
h = 1 mile (since the plane is flying at an altitude of 1 mile)
dx/dt = 480 mi/h (since the plane is flying horizontally at a speed of 480 mi/h)
We want to find dd/dt, the rate at which the distance between the plane and the station is increasing. We can solve for dd/dt by plugging in the given values and solving for it:
2d * dd/dt = 2h * dh/dt + 2x * dx/dt
2(5 miles) * dd/dt = 2(1 mile) * 0 + 2x * (480 mi/h)
10 * dd/dt = 960 * x
We still need to find x, the horizontal distance traveled by the plane when it is 5 miles away from the station. We can use the Pythagorean theorem again:
d^2 = h^2 + x^2
(5 miles)^2 = (1 mile)^2 + x^2
x^2 = (5 miles)^2 - (1 mile)^2
x = √(24 miles^2)
x = 4.899 miles (rounded to three decimal places)
Now we can plug in the value of x and solve for dd/dt:
10 * dd/dt = 960 * x
10 * dd/dt = 960 * 4.899
dd/dt = 489.9 (rounded = 490)
what is there constant variation of y=kx through (5,8)
The value of constant of variation "k" is
Solution:
Given that the direct variation is:
y = kx ----- eqn 1
Where "k" is the constant of variation
Given that the point is (5, 8)
To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1
Thus the value of constant of variation "k" is k = 8/5 or 1.6
I hope this is correct and helps!
How many triangles can be formed if in triangle ABC only a letter in each angle?
13 triangles can be formed.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In triangle ABC, if only one letter is used in each angle.
Then there are only three possible letters to choose from A, B, and C.
Now,
Let's start with the case where all three angles are different.
There are three ways to choose the first angle, two ways to choose the second angle, and one way to choose the third angle.
i.e
3 x 2 x 1 = 6 possible triangles.
Let's consider the case where two of the angles are the same.
There are three ways to choose the repeated angle and two ways to choose the other angle.
i.w
3 x 2 = 6 possible triangles.
When all three angles are the same.
There is only one possible triangle.
Now,
The total number of possible triangles that can be formed if in triangle ABC only a letter in each angle.
= 6 + 6 + 1
= 13 possible triangles.
Thus,
13 triangles can be formed.
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Which of the three brands had the smallest mean lifetime?
The brand that had the smallest mean lifetime is given as follows:
Brand A.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.
The dot plot shows the absolute frequency of each data-set in the problem.
Brand A has the most dots to the left of the plot, meaning that most of it's values represent small lifetimes, hence it has the smallest mean.
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Find the value of the given trigonometric function.
cos 420°
Recall that cos(x + y) = cos(x) cos(y) - sin(x) sin(y). So
cos(420°) = cos(360° + 60°)
cos(420°) = cos(360°) cos(60°) - sin(360°) sin(60°)
cos(420°) = cos(60°)
since cos(360°) = 1 and sin(360°) = 0. Then
cos(420°) = cos(60°) = 1/2
p=6t. what is the value of p when t= 14
Answer:
p=84
Step-by-step explanation:
p=6×14
p=84
answer: p=84
Lucy is 15 years old and has $1000, she invests in a CD paying 8% interest. How many times will her money double by the time she is 60?
Answer:
5
Step-by-step explanation:
(1 + i ) ^45 i = interest in decimal 45 = years
(1.08)^45 = ~~ 32
when she is 65 it will be worth 32 000
so it doubles 5 times (1000 2000 4000 8000 16000 32000)
Определите количество сторон правильного многоуголь
ника, если угол, смежный с углом многоугольника, составляет 2/3 угла многоугольника
Answer:
n=6
Step-by-step explanation:
Угол многоугольника 2х, смежного угла х.
2х+х=180.
3х=180.
х=60° .
Углы многоугольника 120°.
Формула углов правильного многоугольника.
аₙ=(n-2)/n * 180.
120=(n-2)/n *180. после преобразования
3(n-2)=2n.
n=6.
Answer: n=6.
Step-by-step explanation:
6) Write an equation and solve: Twice a number, increased by 3 is 7.
A) 2
B) 5
C)8
D) 20
Answer:
A)2
Step-by-step explanation:
2×x + 3=7
2x+3=7
2x=7-3
2x=4
divide both sides by the coefficient of x which is 2
2x=4
x=2
How long will it take Kevin to complete all of his tasks?
Show your work.
Answer:
2 hr 15 min
Step-by-step explanation:
Convert into minutes
Read: 20 min
Homework: 45 min
Soccer: 40 min
Piano: 30 min
Add
20 + 45 + 40 + 30 = 135 min = 2 hrs 15 min
Answer:
2.25 or 9/4 or 2 1/4 hours
Step-by-step explanation:
1/3 + 3/4 + 4/6 + 1/2 = 2.25 or 9/4 or 2 1/4
Look at picture for question.
Answer:
A) - 3/7
B) -1/5
C) - 0.4
Step-by-step explanation:
HOPE IT CAN HELP YOU LOVELOTS
Which has a greater average rate of change over the interval where -1≤x≤3; the function
g(x)=x²+6x or the function f(x) = 2*. Provide justification for your answer.
Answer: Step-by-step explanation:
To find the average rate of change of a function over an interval, we can use the following formula:
average rate of change = (y2 - y1)/(x2 - x1)
Where x1 and x2 are the values of x at the beginning and end of the interval, and y1 and y2 are the corresponding values of the function at those points.
In this case, we are asked to compare the average rate of change of the functions g(x) and f(x) over the interval where -1≤x≤3.
For the function g(x) = x²+6x, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:
average rate of change = (g(3) - g(-1))/(3 - (-1))
= (9 + 18 - (1 - 6))/(4)
= 27/4
= 6.75
For the function f(x) = 2, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:
average rate of change = (f(3) - f(-1))/(3 - (-1))
= (2 - 2)/(4)
= 0
Since the average rate of change of the function g(x) is greater than the average rate of change of the function f(x), the function g(x) has a greater average rate of change over the interval where -1≤x≤3.
I hope this helps clarify the comparison of the average rate of change for these two functions. Do you have any other questions?
Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.
–2.11
–1.86
–0.25
0.25
2.11
The roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.
What is the solution of the polynomial?Let a, b, c, and d be the zeroes of the polynomial and k be the leading coefficient.
Then the polynomial is given as,
⇒ k(x - a)(x - b)(x - c)(x - d)
The degree of the polynomial will be greater than or equal to the number of zeroes.
The zeroes of the polynomial are the intersection points of the curve with the x-axis.
The graph of the polynomial is drawn below.
From the graph, the roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.
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(02.07)
Solve for x. (1 point)
−3x + 3b > 5
x > the quantity 3 times b minus 5 all over 3
x > the quantity 5 minus 3 times b all over negative 3
x < the quantity 3 times b plus 5 all over 3
x < the quantity negative 3 times b plus 5 all over negative 3
Answer:
D) x < the quantity negative 3 times b plus 5 all over negative 3--------------------------------------------
Given Inequality −3x + 3b > 5Solve it for x in below steps:
- 3x > - 3b + 5 Add -3b to both sidesx < (- 3b + 5)/( - 3) Divide both sides by - 3, sign changes to oppositeThe matching answer choice is D
The diagram represents the factorization of a2+8a+12.
A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12.
What is the missing number that will complete the factorization?
6
8
12
24
Answer:
The answer is 6
Step-by-step explanation:
Answer: 6
Step-by-step explanation: took the quiz
Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answer: C
Step-by-step explanation:
List multiples of 6 between 20 and 50.
Answer:
6,12,18,24,30,36,42,48,54,69
how do you do math ??????? pls help
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.
A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.
B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.
C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.
D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.
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