Answer:
dff
Step-by-step explanation:
saf
Find the slope of the line.
The slope of the line is ___.
Answer:
5/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-(-4))/(2-(-2))
m=(6+4)/(2+2)
m=10/4
simplify
m=5/2
Calcular la magnitud de la aceleración que produce una fuerza cuya magnitud es de 30 N a un cuerpo cuya masa es de 13 Kilogramos.
Answer:
2.308 m/s^2
Step-by-step explanation:
F = ma
30 N = (13 kg)a
---> a = 2.308 m/s^2
A plane flying horizontally at an altitude of 1 mile and a speed of 510 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 is 2 miles away from the station. (Round your answer to the nearest whole number.) mi/h
Answer:
442 miles
Step-by-step explanation:
Given
To properly solve this question, I illustrate some given parameters using attached image
From the image, apply Pythagoras theorem
[tex]x^2 + 1^2 = y^2[/tex]
Differentiate w.r.t time (t)
[tex]2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}[/tex]
[tex]2x\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]
Divide both sides by 2
[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]
From the question, we have that the plan travels are 510mi/h.
This implies that:
[tex]\frac{dx}{dt} = 510mi/h[/tex]
So, we then calculate the value of x when the distance (y) is 2mi i.e.:
[tex]y = 2mi[/tex]
Apply Pythagoras theorem
[tex]x^2 + 1^2 = y^2[/tex]
[tex]x^2 + 1^2 = 2^2[/tex]
[tex]x^2 + 1 = 4[/tex]
[tex]x^2 = 4-1[/tex]
[tex]x^2 = 3[/tex]
[tex]x = \sqrt 3[/tex]
So, the expression becomes:
[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]
[tex]\sqrt 3 * 510 = 2* \frac{dy}{dt}[/tex]
[tex]\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}[/tex]
[tex]\sqrt 3 * 255 = \frac{dy}{dt}[/tex]
[tex]\frac{dy}{dt} = 255\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 255 * 1.7321[/tex]
[tex]\frac{dy}{dt} = 441.655[/tex]
[tex]\frac{dy}{dt} = 442[/tex]
Hence, the distance is 442 miles
Part 2: Identify key features and graph a circle from general form.
Answer the following questions to determine the key features of the circle whose equation is shown
and then graph it.
x2 + y2 + 12x-2y - 12 = 0
a) Write the equation of the circle in standard form. (3 points)
b) What is the center of the circle? (1 point)
c) What is the radius of the circle? (1 points)
d) Sketch a graph of the circle and label the center and the endpoints of the horizontal and
vertical diameter. (4 points)
Answer:
Subtract
12
from both sides of the equation.
x
2
+
y
2
−
12
x
+
2
y
=
−
12
Complete the square for
x
2
−
12
x
.
Tap for more steps...
(
x
−
6
)
2
−
36
Substitute
(
x
−
6
)
2
−
36
for
x
2
−
12
x
in the equation
x
2
+
y
2
−
12
x
+
2
y
=
−
12
.
(
x
−
6
)
2
−
36+y2+2y=−12
Move
−36
to the right side of the equation by adding
36
to both sides.
(x−6)2+y2+2y=−12+36
Complete the square for
y2+2y.
Tap for more steps...
(y+1)2−1
Substitute
(y+1)2−1
for
y2+2y
in the equation
x2+y2−12x+2y=−12.
(x−6)2+(y+1)2−1=−12+36
Move
−1
to the right side of the equation by adding
1
to both sides.
(x−6)2+(y+1)2=−12+36+1
Simplify
−12+36+1.
Tap for more steps...
(x−6)2+(y+1)2=25
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r=5 h=6 k=−1
The center of the circle is found at
(h,k).
Center:
(6,−1)
These values represent the important values for graphing and analyzing a circle.
Center: (6,−1)
Radius:
5
image of graph
Step-by-step explanation:
Answer:
A) (x+6)^2 + (y-1)^2 =49
B) (-6, 1)
C) Radius of 7
D) I’ll try to add picture
Step-by-step explanation:
hotomath
6/15=3/x
HELPP PLEASE
Answer:
15/2 or 7.5 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{6}{15} = \frac{3}{x}[/tex]
simply cross multiply
[tex]6x = 45[/tex]
divide both sides by 6
[tex]\frac{6x}{6} = \frac{45}{6}[/tex]
hence x will be equal to [tex]7.5[/tex]
Is it required to for it to be in decimals?
You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.
Answer:
The expected rate of return is 6.3%.
The standard deviation is of 11.29%.
Step-by-step explanation:
Expected rate of return
Multiply each rate by its probability. So
[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]
The expected rate of return is 6.3%.
Standard deviation:
Square root of the difference squared between each value and the mean, multiplied by the probability. So
[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]
The standard deviation is of 11.29%.
For each of the following coordinate
pairs, write the Quadrant where they would
be located. You do not have to use Roman
numerals.
(-3, 2) Quadrant ?
(-6, -8) Quadrant ?
(4, 10) Quadrant ?
(9,-5) Quadrant ?
Please help!!!!!!!!!!!
Answer:
Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm
Step-by-step explanation:
I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.
Answer:
1. I think 30ft 2. I think 4m 3.I think 10mm
Ege saat 21.30da yattı ertesi sabah 7.15'te uyandı.Ege kaç saat kaç dakika uyudu
ACİLLLLLLL LAZIM!!!!!!!!!!!!!
Answer:
ega caava 68=46
Step-by-step explanation:
tura pu ka dakkia chu la
I'll give points and brainalist for answer / explanation
Answer:
D. 28.26 in²
Step-by-step explanation:
Area of a circle= πr²
r= 3
π= 3.14
A= (3.14)(3)²
A= 28.26 in²
g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)
Answer:
0.0062 = 0.62% probability that the sample mean is less than $650.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $675 and a standard deviation of $80.
This means that [tex]\mu = 675, \sigma = 80[/tex]
A random sample of 64 families in this city paying for childcare is selected.
This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]
Find the probability that the sample mean is less than $650.
This is the pvalue of Z when X = 650.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{650 - 675}{10}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
0.0062 = 0.62% probability that the sample mean is less than $650.
The probability that the sample mean is less than $650 is 0.62%.
The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]
From the normal distribution table:
P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%
The probability that the sample mean is less than $650 is 0.62%.
Find out more at: https://brainly.com/question/15016913
Help plz need the answer asap
Answer:
The video is blocked but you can type your question on here1
Step-by-step explanation:
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
solve for x: 5/2x = 15/2 x=3
Answer:
3
Step-by-step explanation:
5/2⋅=15/2⋅=3
Need help with this
PLEASE HELP DUE IN 3 minutes
Answer:
Answer is B
Step-by-step explanation:
Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 118 miles in a day. Round your answer to four decimal places.
Answer:
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day.
This means that [tex]\mu = 90, \sigma = 36[/tex]
Find the probability that a truck drives less than 118 miles in a day.
This is the pvalue of Z when X = 118. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{118 - 90}{36}[/tex]
[tex]Z = 0.78[/tex]
[tex]Z = 0.78[/tex] has a pvalue of 0.7823
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)
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.
Help me out pls and thank you very much !!!!!!!
Answer:
8
Step-by-step explanation:
Since this is a rectangle, the opposite sides are congruent.
So the lengths of DG and EF are equal
3x + 5 = 29
3x = 29 - 5
3x = 24
x = 24/3
x = 8
A 7-kg bag of apple for $10 ________ per kg
Answer:
10/7= $1.43 per kg
...........
0.7 kg = $1
7 kg - $10
? kg - $1
7 / 10 = 0.7
0.7 kg = $1
Let me know if I did something wrong :)
Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?
A-5
B-6
C-7
D-8
E-9
Answer: E) 9
Step-by-step explanation:
1.12/4 = 0.28
2.52/0.28 = 9
Answer:
9
Step-by-step explanation:
To find how much each apple costs, you have to divide the price by how many apples he brought.
1.12/4 = 0.28
Each apple costs $0.28
Now, you have to divide 2.52 by 0.28.
2.52/0.28 = 9
He can buy 9 apples at the same price with $2.52.
The answers please. Don’t know how to do #1
You move right 3 units. You end at (5, 2). Where did you start?
Answer:
8,2
Step-by-step explanation:
12x+6n-36 in standard form
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = 3x + 5
Step-by-step explanation:
slope:
11 - (-1) / 2 - (-2) = 12/4 = 3
slope intercept form is y = mx + b, so right now you have m = 3:
y = 3x + b
now, since you know x = -2 and y =-1 is a solution, you can plug those values in:
-1 = 3 * -2 + b
-1 = -6 + b
5 = b
This means the equation is y = 3x + 5
Y=x+3
2x+y=-6
Find the solution :
Answer:
Your solution is (-3,0)
Step-by-step explanation:
Hi,
We know what Y is, so we can plug it into the second equation.
2x + y = -6
2x + (x + 3) = -6
Now, add the like terms...
3x + 3 = -6
3x = -9
x = -3
Now, plug x back in to find y.
y = x + 3
y = (-3) + 3
y = 0
Your solution is (-3,0)
Hope this helps :)
-X-6
constant.
coefficient:
variable
Answer:
constant: -6
Coefficient: -1
Variable: x
Step-by-step explanation:
You are going to visit your aunt who lives 25 miles away . You have already traveled 7.7 miles. What percentage of the trip is still ahead of you?
The percentage of the trip that is still ahead of you is 69.2%.
What is the percentage?The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
You are going to visit your aunt who lives 25 miles away. You have already traveled 7.7 miles.
The percentage of the trip that is still ahead of you is calculated as,
P = [(25 - 7.7) / 25] x 100
P = (17.3 / 25) x 100
P = 0.692 x 100
P = 69.2%
More about the percentage link is given below.
https://brainly.com/question/8011401
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If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?
(3, -5)
(3, 5)
(-5, 3)
(5, -3)
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
How to determine which of the following must be an ordered pair of the inverse of f(x)To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.
Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.
Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:
x = f(y)
Substituting f(3) = -5:
3 = f(y)
Therefore, the inverse function of f(x) is y = 3.
Now, let's check which of the given ordered pairs satisfies the inverse function:
- For (3, -5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.
- For (3, 5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.
- For (-5, 3):
When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.
- For (5, -3):
When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
Learn more about inverse function at https://brainly.com/question/3831584
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Prove that a+b/2≥√ab