Answer:
x=110
Step-by-step explanation:
the sum of the two interior angles makes the exterior angle
A circle is centered at J(3, 3) and has a radius of 12.
Where does the point F(-6,-5) lie?
Choose 1 answer:
A.- Inside the circle
B.-On the circle
C.- Outside the circle
Answer:
[tex](-6,\, -5)[/tex] is outside the circle of radius of [tex]12[/tex] centered at [tex](3,\, 3)[/tex].
Step-by-step explanation:
Let [tex]J[/tex] and [tex]r[/tex] denote the center and the radius of this circle, respectively. Let [tex]F[/tex] be a point in the plane.
Let [tex]d(J,\, F)[/tex] denote the Euclidean distance between point [tex]J[/tex] and point [tex]F[/tex].
In other words, if [tex]J[/tex] is at [tex](x_j,\, y_j)[/tex] while [tex]F[/tex] is at [tex](x_f,\, y_f)[/tex], then [tex]\displaystyle d(J,\, F) = \sqrt{(x_j - x_f)^{2} + (y_j - y_f)^{2}}[/tex].
Point [tex]F[/tex] would be inside this circle if [tex]d(J,\, F) < r[/tex]. (In other words, the distance between [tex]F\![/tex] and the center of this circle is smaller than the radius of this circle.)
Point [tex]F[/tex] would be on this circle if [tex]d(J,\, F) = r[/tex]. (In other words, the distance between [tex]F\![/tex] and the center of this circle is exactly equal to the radius of this circle.)
Point [tex]F[/tex] would be outside this circle if [tex]d(J,\, F) > r[/tex]. (In other words, the distance between [tex]F\![/tex] and the center of this circle exceeds the radius of this circle.)
Calculate the actual distance between [tex]J[/tex] and [tex]F[/tex]:
[tex]\begin{aligned}d(J,\, F) &= \sqrt{(x_j - x_f)^{2} + (y_j - y_f)^{2}}\\ &= \sqrt{(3 - (-6))^{2} + (3 - (-5))^{2}} \\ &= \sqrt{145} \end{aligned}[/tex].
On the other hand, notice that the radius of this circle, [tex]r = 12 = \sqrt{144}[/tex], is smaller than [tex]d(J,\, F)[/tex]. Therefore, point [tex]F[/tex] would be outside this circle.
Answer:
outside the circle
Step-by-step explanation:
khan
I need the answer because I thought it was 39 but was not sure if 39 was the answer
Answer:
I believe you are correct
Step-by-step explanation:
hope I am right
What is the surface area of the triangular prism with the
given net?
un
12
10
Select one:
578 cm
720 cm
1152 cm
1440 cm
Answer:
576 cm²
Step-by-step explanation:
10x15=150
10x15=150
12x15=180
1/2x8x12=48
1/2x8x12=48
150+150+180+48+48=576
Can somebody help me plleeeaseee
Answer: A
Step-by-step explanation:
26/400 = x/56,000
6.5% of the products are defective so you can just use that information to find the total defective.
.065 x 56,000 = 3,640
Answer:
3,640
Step-by-step explanation:
First find the percent of products that were defective out of 400.
26 ÷ 400 = 0.065 or 6.5%
Then find 6.5% of 56,000.
56,000 × .065 = 3640
If y = -x and x = -14, find y.
Answer:
14
Step-by-step explanation:
x = -14
and
y = - x
so you put the -14 instead of x
y = --14
y = +14
The three lengths 3, 10, 7 create a triangle.
Answer:
false
Step-by-step explanation:
I assume this is a true/false question.
The answer would be 'false'.
For 3 segments to make a triangle, each single side must be LESS than the sum of the other two.
Here, that is not the case. The '10' side is not less than 3+7.
2(3x-5)+3x+3=20 solve for x
Answer:
= 9x−7
Step-by-step explanation:
=(2)(3x)+(2)(−5)+3x+3
=6x+−10+3x+3
Combine Like Terms:
=6x+−10+3x+3
=(6x+3x)+(−10+3)
=9x+−7
Geometry only answer if you know
Given :
∠F = ∠J∠D = ∠H∠E = ∠ISum of all angles in a triangle = 180°
Which means :
41 + 20 + 15x - 1 = 180[tex] = \tt61 + 15x - 1 = 180[/tex]
[tex] =\tt 61 - 1 + 15x = 180[/tex]
[tex] =\tt 60 + 15x = 180[/tex]
[tex] = \tt15x = 180 - 60[/tex]
[tex] =\tt 15x = 120[/tex]
[tex] = \tt \: x = \frac{120}{15} [/tex]
[tex] =\tt x = 18[/tex]
Thus, the value of x = 18Measure of angle 15x-1 :
[tex] = \tt15 \times 8 - 1[/tex]
[tex] =\tt120 - 1[/tex]
[tex] =\tt 119[/tex]
Thus, the measure of angle 15x-1 = 119°
Let us place 8 in the place of x to see if we have found out the correct measure of the angles :
[tex] = \tt40 + 21 + 119 = 180[/tex]
[tex] = \tt61 + 119 = 180[/tex]
[tex] =\tt 180 = 180[/tex]
Since the measures of all the angle sum up to form 180°, we can conclude that we have found out the correct measure of each of the angles.
Therefore, the value of x = 8
My answer :[tex]\boxed{\color{plum}\bold{x = 8}}[/tex]
What is the force of an object with a mass of 30 kg and an acceleration of 10 m/s2?
The answer is 300N
WILL GIVE BRAINLIEST!
Identify the variable expression that is not a polynomial.
A. 12
B. x8 + y2
O c. x + 14
D. y9 + x6
find a curve that passes through the point (1,-2 ) and has an arc length on the interval 2 6 given by 1 144 x^-6
Answer:
[tex]f(x) = \frac{6}{x^2} -8[/tex] or [tex]f(x) = -\frac{6}{x^2} + 4[/tex]
Step-by-step explanation:
Given
[tex](x,y) = (1,-2)[/tex] --- Point
[tex]\int\limits^6_2 {(1 + 144x^{-6})} \, dx[/tex]
The arc length of a function on interval [a,b]: [tex]\int\limits^b_a {(1 + f'(x^2))} \, dx[/tex]
By comparison:
[tex]f'(x)^2 = 144x^{-6}[/tex]
[tex]f'(x)^2 = \frac{144}{x^6}[/tex]
Take square root of both sides
[tex]f'(x) =\± \sqrt{\frac{144}{x^6}}[/tex]
[tex]f'(x) = \±\frac{12}{x^3}[/tex]
Split:
[tex]f'(x) = \frac{12}{x^3}[/tex] or [tex]f'(x) = -\frac{12}{x^3}[/tex]
To solve fo f(x), we make use of:
[tex]f(x) = \int {f'(x) } \, dx[/tex]
For: [tex]f'(x) = \frac{12}{x^3}[/tex]
[tex]f(x) = \int {\frac{12}{x^3} } \, dx[/tex]
Integrate:
[tex]f(x) = \frac{12}{2x^2} + c[/tex]
[tex]f(x) = \frac{6}{x^2} + c[/tex]
We understand that it passes through [tex](x,y) = (1,-2)[/tex].
So, we have:
[tex]-2 = \frac{6}{1^2} + c[/tex]
[tex]-2 = \frac{6}{1} + c[/tex]
[tex]-2 = 6 + c[/tex]
Make c the subject
[tex]c = -2-6[/tex]
[tex]c = -8[/tex]
[tex]f(x) = \frac{6}{x^2} + c[/tex] becomes
[tex]f(x) = \frac{6}{x^2} -8[/tex]
For: [tex]f'(x) = -\frac{12}{x^3}[/tex]
[tex]f(x) = \int {-\frac{12}{x^3} } \, dx[/tex]
Integrate:
[tex]f(x) = -\frac{12}{2x^2} + c[/tex]
[tex]f(x) = -\frac{6}{x^2} + c[/tex]
We understand that it passes through [tex](x,y) = (1,-2)[/tex].
So, we have:
[tex]-2 = -\frac{6}{1^2} + c[/tex]
[tex]-2 = -\frac{6}{1} + c[/tex]
[tex]-2 = -6 + c[/tex]
Make c the subject
[tex]c = -2+6[/tex]
[tex]c = 4[/tex]
[tex]f(x) = -\frac{6}{x^2} + c[/tex] becomes
[tex]f(x) = -\frac{6}{x^2} + 4[/tex]
You can use the formula for finding the arc length on specified interval on x axis.
The curves whose arc length on the given interval is described are
[tex]f(x) = 6x^{-2} -8[/tex]
and
[tex]f(x) = -6x^{-2} + 4[/tex]
What is the length of the arc of a function f(x) from x = a to x = b?If the function is differentiable in the given interval, then we have:
[tex]s = \int_a^b\sqrt{(1 + (f'(x))^2)}\:dx[/tex]
where s denotes the length of the arc of the given function from x = a to x = b
Using the above formula, as we're already given the arc length, thus,
[tex]\int_a^b\sqrt{(1 + (f'(x))^2)}\:dx = \int_2^6\sqrt{(1 +144x^{-6})}\:dx[/tex]
This gives us
[tex]f'(x) = \pm \sqrt{144x^{-6}} = \pm 12x^{-3}[/tex]
Integrating both sides with respect to x, we get:
[tex]f(x) = \pm \int 12x^{-3}\\\\f(x) = \pm 6x^{-2} + c[/tex]
where c is constant of integration.
Since the curve passes through (1,-2), thus, putting f(x) = -2, x = 1, we get:
[tex]f(x) = \pm 6x^{-2} + c\\-2 = \pm 6 + c\\c = -2 \mp 6 = -8, or ,4[/tex]
c = -8 when we have [tex]f(x) = 6x^{-2} + c[/tex]
c = + 4 when we have [tex]f(x) = -6x^{-2} + c[/tex]
The curves whose arc length on the given interval is described are
[tex]f(x) = 6x^{-2} -8[/tex]
and
[tex]f(x) = -6x^{-2} + 4[/tex]
Learn more about length of the arc of a curve here:
https://brainly.com/question/14319881
please help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
-4 5/12
Step-by-step explanation:
-23/3 + (-11/2) + 35/4
Find a common denominator (12).
-92/12 + (-66/12) + 105/12
Reform the equation to have this as a single fraction.
(-92 + (-66) + 105)/12
Subtract 66 from -92 to get -158.
(-158 + 105)/12
Add 105 to -158 to get -53.
-53/12
Convert into a mixed number by dividing by 12.
-4 5/12 (Choice A) is your answer.
Mrs. Smith decides to buy three sweaters and a pair of jeans. She has $140 in her wallet. If the
price of the jeans is $55, what is the highest possible price of a sweater, if each sweater is the
same price?
Which equation will you use to solve this equation? *
NoAnswer:
Step-by-step explanation:
Help me pleaseeee thanks ✏️
Answer:
Step-by-step explanation:
65
RUBU
Uuuuu 25 pizzas tor her birthday party. Each pizza has 8 slices. How many slices of pizza a
there altogether?
2. 225 bottles of mineral water can be packed in a cardboard box. How many bottles can be
accommodated in 8 such boxes?
Answer:
200 slices
28.125 bottles and if you need to round it is 28
Step-by-step explanation:
Find the equation of the regression line that relates the variable you chose in question 3 (use this variable as the x-value) to the total weight of discarded garbage (use this variable as the y-value). Write your equation in y = mx + b form, and round your values of m and b to two decimal places.
Answer:
See Explanation
Step-by-step explanation:
The question has missing details as no link is provided to the "question 3".
However, I'll give a worked solution on how to calculate the equation of a regression line.
Using the following data:
[tex]\begin{array}{cc}x & {y} & {43} & {99} & {21} & {65} \ \\ {25} & {79} & {42} & {75} \ \end{array}[/tex]
Calculate the equation of the regression line.
The equation is calculated using:
[tex]y = mx + b[/tex]
Where:
[tex]m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}[/tex]
and
[tex]b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}[/tex]
So, first we fill in the table with columns x^2, y^2 and xy
[tex]\begin{array}{ccccc}x & {y} & {xy} & {x^2} & {y^2 }& {43} & {99} & {4257} & {1849} & {9801} & {21} & {65} &{1365} &{441} & {4225}\ \\ {25} & {79} & {1975} & {625} & {6241}& {42} & {75} &{3150} & {1764} & {5625}\ \end{array}[/tex]
From the above table.
[tex]\sum x = 43+21+25+42[/tex]
[tex]\sum x = 131[/tex]
[tex]\sum y = 99+65+79+75[/tex]
[tex]\sum y = 318[/tex]
[tex]\sum xy = 4257+1365+1975+3150[/tex]
[tex]\sum xy = 10747[/tex]
[tex]\sum x^2 = 1849 + 441 + 625 + 1764[/tex]
[tex]\sum x^2 = 4679[/tex]
[tex]\sum y^2 = 9801 + 4225 + 6241 + 5625[/tex]
[tex]\sum y^2 = 25892[/tex]
[tex]n =4[/tex]
Solving for m
[tex]m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}[/tex]
[tex]m = \frac{4 * 10747 - 131*318}{4*4679 -(131)^2}[/tex]
[tex]m = \frac{1330}{1555}[/tex]
[tex]m = 0.86[/tex] --- approximated
Solving for b
[tex]b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}[/tex]
[tex]b = \frac{318*4679 - 131*10747}{4*4679-131^2}[/tex]
[tex]b = \frac{80065}{1555}[/tex]
[tex]b = 51.49[/tex]
The equation becomes:
[tex]y = mx + b[/tex]
[tex]y = 0.86x + 51.49[/tex]
Apply the above steps and you will arrive at a solution.
NEED THIS IN 10 MINUTES PLEASE
Answer:
5) $82
6) 300
Step-by-step explanation:
If y=x is your linear regression equation, and if x = temperature and y = $ of ice cream sales, then...
5) x = 82, and given that y=x, then y = $82
6) y = $300, and given that y=x, then x = 300
This doesn't really require algebraic calculation, so I wonder if the linear regression equation obtained from the scatter plot is correct.
PLEASE HELP true or false I WILL MAKE BRAINLIEST
Answer:
True
Step-by-step explanation:
They are the same dimensions
Answer:
I think its true because there both the same shape and dimension
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows:
conforms
yes no
1 22 8
supplier 2 25 5
3 30 10
Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample from any supplier conforms to specifications. If a disk is selected at random, determine the following probabilities.
a. P(A)=0.3
b. P(B)=0.77
c. P(A Intersection B) =0.22
d. P(A U B)=0.85
ILL GIVE BRAINLESS HELPPPP
Answer:
all you have to do is graph i dont see what i can help you with im
sorry
Step-by-step explanation:
The perimeter of the rectangle is 72cm. The width of he rectangle is 8cm greater than the length. Find the width and the length.
perimeter = 72 cm
width = x
length = x+8
perimeter of rect. = 2(l+b)
2(x+x+8) = 72
2(2x+8) = 72
4x + 16 = 72
4x = 56
x = 56|4
x= 14
hence width is 14 so ,length will
14+ 8 = 22
hope it helps and your day will full of happiness
PLS HELP DUE TODAY
Equation and explain
Answer:
8 divided by 1/4 = 2
12 divided by 1/4 = 3
more cows were put in the barn
Step-by-step explanation:
8 horses 1/4= 2
12 horses 1/4= 3
I need to Mach the answers to the questions please help
Answer:
1a. 3y = 18
1b. y + 7 = 18
1c. 2y + 4 = 18
Step-by-step explanation:
In each case, let's take the red boxes to be constant why the the green boxes represents the variable, y.
Thus,
1a. There are only 3 green boxes which gives us 18, therefore, the equation that expresses this would be:
3y = 18
1b. We have 7 red boxes which represents the constant, 7.
We also have 1 green box which represents the variable, y. Therefore, the equation that expresses this would be:
y + 7 = 18
1c. We have 4 red boxes = 4
We have 2 green boxes = 2y
Therefore, we would have:
2y + 4 = 18
Help?????????????? I need to know the answer
There are 8,427 trees in the
state park. The governor is
planning to plant 3 times as
many trees over the next few
years. How many trees will
there be when she is done?
200 W
€
Answer:
35
Step-by-step explanation:
Hope this helps
==========================================================
Explanation:
There are currently 8,427 trees. Triple this value to get 3*8427 = 25,281
Add this result onto the previous number of trees to get 25,281+8,427 = 33,708
-----------
An alternative approach:
if we started off with x number of trees, and then added on three times as much, then we add on 3x more trees. This gets us x+3x = 4x trees total.
In this case, x = 8427, so that leads to 4*x = 4*8427 = 33,708
Diego is trying to lift a piano to the second floor of his house. Diego uses a pulley system and gives a big lift to the piano.The piano moves upward, then stops, and then it starts to fall to the ground. (The direction of the force of gravity is negative.)
Which list best describes the forces on the piano in the proper order?
positive force → balanced force → negative force
negative force → balanced force → positive force
positive force → unbalanced force → negative force
negative force → unbalanced force → positive force
Answer: positive force → balanced force → negative force
Step-by-step explanation: I just did it
Answer:
A
Step-by-step explanation:
edg
Please determine the solution to this quadratic function x^2+5x+2
Answer:
A
Step-by-step explanation:
Please I’m begging
I’ll do anything
Answer:
x = 12
y = 12√3
Step-by-step explanation:
Does anyone know 3² + (12r2) - 16 / 4?
Answer:
=12r2+5
Step-by-step explanation:
3² + (12r2) - 16 / 4
9+12r2+−4
Combine like terms
(12r2)+(9+−4)
12r2+5
if something that is 15.00 is 80%off what is the price
Answer:
So I think its either 75 or 3
Step-by-step explanation:
for 80% of 15 its 3. 20% is fifteen. 20 times 5 is 100 so I did 15 times 5 to get the answer 75. I hope this helps!