Answer:
[tex]y[/tex] is decreasing by 10 units per second.
Step-by-step explanation:
Given information:
The particle moves on the hyperbola [tex]xy=15[/tex]
Time [tex]t\geq 0[/tex]
Now at a certain instant , [tex]x=3[/tex] and [tex]\frac{dx}{dt} = 6[/tex]
Now, Differentiating [tex]xy=15[/tex] with respect to [tex]t[/tex]
We get:
[tex]x.\frac{dy}{dt} +y.\frac{dx}{dt} =0[/tex]
Now substitute the values in above equation:
[tex]3\frac{dy}{dt}+ 5 \times 6=0[/tex]
[tex]3 \frac{dy}{dt}=-30\\\frac{dy}{dt} =-10[/tex]
The negative sign indicates that [tex]y[/tex] is decreasing by 10 units per second.
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The particle follows hyperbolic path. The value of [tex]y[/tex] is decreasing at the rate of [tex]10[/tex] units per seconds.
Given: A particle moves on the hyperbola [tex]xy=15[/tex] for time [tex]t\geq0[/tex] seconds. At a certain instant, [tex]x=3[/tex] and [tex]dx/dt=6[/tex].
According to question,
hyperbola curve is [tex]xy=15[/tex].
Differentiating the curve w.r.t [tex]t[/tex] we get:
[tex]x\cdot \frac{dy}{dt}+y\cdot\frac{dx}{dt}=0[/tex]
Now substituting the values are [tex]x=3[/tex] and [tex]dx/dt=6[/tex].
[tex]3\cdot \frac{dy}{dt}+5\times6=0[/tex]
[tex]\frac{dy}{dt}=\frac{-30}{3}\\\frac{dy}{dt}=-10[/tex]
Therefore, [tex]y[/tex] is decreasing [tex]10[/tex] units per seconds.
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Suppose that the total sum of squares of the dataset is 1,032, and the sum of squares due to error is 76, what is the sum of squares due to regression?
Answer:
The sum of squares due to regression is 956.
Step-by-step explanation:
The sources of variation while doing regression analysis are typically called Regression and Residual. Regression is the portion that can be explained by the regression equation and the Residual is the portion that is left unexplained by the regression equation.
The relation between total variation (SST), explained variation (SSR) and unexplained variation (SSE) is,
SST = SSR + SSE
It is provided that:
SST = 1032
SSE = 76
Compute the value of SSR as follows:
SST = SSR + SSE
SSR = SST - SSE
= 1032 - 76
= 956
Thus, the sum of squares due to regression is 956.
8.
7. Higher Order Thinking Nicole scored
8 goals this season. She scored 9 fewer
goals than Julien. How many goals did
Julien score?
Restate this problem using the word more.
Nicole scored 8 goals this season. Julien
scored
Answer:
Julien scored 17 goals (9 more than Nicole)
Step-by-step explanation:
Nicole: 8 goals (x-9) = 8
Julien: x-9 = y
Nicole:
x-9=8
x=17
Julien:
17-9 = 8
Julien scored 9 more goals than Nicole giving Julien 17 goals on the season and Nicole 8 goals
When the value of the y-intercept(b) change by subtracting a number from "b" in the equation "y=mx+b", the graph will move of shift down ? true or false
Answer:
True. The graph will shift down if we subtract a number from "b"
Step-by-step explanation:
"b" represents the y-intercept, or how high up on the y axis the graph intersects.
If we don't change anything except for the y-intercept, then the graph should only move up or down.
Because we are decreasing the value of "b" the y intercept will decrease, dragging the graph of y down.
Mikey had 104 nickels and 88 dimes she wants to divide the coins into group of each group will have the same number of nickels in the same number of dimes what is the largest number of groups she can have
Answer:
8
Step-by-step explanation:
8 can go into 88 and it can also go into 104 too and 8 is the largest number so the answer is 8
which expressions have three terms? select all that apply.
The ratio of minutes to dry and minutes to
wash is 4:3. How many minutes will a load
need to wash it if takes 56 minutes to dry?
Answer:
56:42 (i hope this is right)
Step-by-step explanation:
I divided 56 and 4 which makes 14. Then I multiplied 14 and 3 to get 42. So 56 by 42.
Giving some points, but dont take them or iIwill delete and ban you. Answer this math question and you get 33 points! If you get it right, in the next question, I will give 50 points, MAYBE. A captain owns 26 sheep and 10 goats. How old is the captain?
Answer:
i think i got it but can you help me out a little with this too? im not sure either...dont ban me i jjust need help
Step-by-step explanation:
help pls pls pls pls pls
Answer:
33.5
Step-by-step explanation:
...
Sanhi at epekto ng tagtuyot
Step-by-step explanation:
sanhi is Yung kakulangan ng tubig dahil na din sa climate change..
epekto matutuyo ang lupa At Ang mga pananim at matutuyo at masisira
Simplify:
[45 - (6 + 3)] x 27
Answer:
Step-by-step explanation:
1. brackets
in the bigger bracket there is a smaller one do it first
(45-(6+3))x27= (45-9)x27
2. the bracket again
(45-9)x27 = 36 x 27
3. multiply
36x27=972
Which expression is equivalent to the following complex fraction?
Answer:
B is correct one...
Hope this will help you
Can anyone solve this?
Answer:
x = 11.83°
Step-by-step explanation:
Equations
The figure shows two parallel lines crossed by a line. We have completed the figure with another variable y. Please see the attached image.
Angles y and 4x+28 are linear, thus their sum is 180°:
y + 4x + 28 = 180
Angles y and 8x + 10 are corresponding, thus
y = 8x + 10
Substituting:
8x + 10 + 4x + 28 = 180
Simplifying:
12x + 38 = 180
Subtracting 38:
12x = 142
Dividing by 12
x = 11.83°
(4/5 - 7/5) + 1/5 simplified
Answer:
-2/5 or -0.4
Step-by-step explanation:
Answer:
-2/4
Step-by-step explanation:
i had it on my math quiz! got 100!
please mark me brainliest! thanks <3
hope you do well!
drag each figure to show if it is similar to the figure shown or why it is not similar
Answer:
In the given shapes above, we can see that all shapes have four sides.
Above geometrical shapes could be named as Rectangles, parallelogram or quadrilateral.
First two shapes are Rectangles.
Third is a parallelogram.
Fourth and fifth shapes are Rectangles again.
Also we can say all those shapes with four side as quadrilaterals. (Note: A quadrilateral has four sides.)
Below shown shape has only three sides in it.
It is called a triangle when a shape has three sided close figure.
So, we could drag : Not similar - Different Type of shape.
37 out of 40 goals are stopped, what is the percent that are stopped?
Answer:
92.5 percent is the answer I got
Answer:
92.5%
Step-by-step explanation:
Convert fraction (ratio) 37 / 40 Answer: 92.5%
Match the graph with its inequality
Answer: A
Step-by-step explanation:
Jose paid $47.00 for 4 movie tickets. Each ticket costs the same amount. What was the cost of each movie ticket in dollars and cents?
Answer:
$11.75
Step-by-step explanation:
$47.00 divided by 4 = $11.75
Answer:
$11.75 Each
Step-by-step explanation:
You take $47.00 and divide it by 4 and you get $11.75
Order the following numbers from LEAST TO GREATESTI!
16+ 4
= 2.5
7-8)
= 21
Answer:
-1, 2.5, 20, 21
Step-by-step explanation:
16 plus 4 is 20
2.5
7-8 is -1
21
Which character from The Owl House there name A luz B amity C gus D eda
Answer:
B AMITY
Step-by-step explanation:
Owl House is a very good serial!
Answer:
Straight hair, straight A's straightforward, who is my profile picture?
Step-by-step explanation:
Our lord amity
If f(x) = −2 + 8, what is f(−1.8)?
4
6
10
12
Step-by-step explanation: -1.8 rounds up to -1. -2 x -1 = 2, 2+8 = 10.
Answer:
well I know its not 4
Step-by-step explanation:
I got it wrong in my quiz
But it will sure be appreciated if someone can give the correct answer.
Thank you all and I hope you all have a wonderful day :)
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
Answer:
[tex]x=\frac{d+c}{a-b}[/tex]
Step-by-step explanation:
The equation is:
a x - c = b x + d
so we subtract b x from both sides to group the terms that contain x on the left:
a x - b x - c = d
add c to both sides to isolate the terms in x on the left:
a x - b x = d + c
extract "x" as common factor on the left using distributive property backwards:
x (a - b) = d + c
divide both sides by the quantity (a - b) to isolate the "x":
x = (d + c) / (a - b)
or: [tex]x=\frac{d+c}{a-b}[/tex]
what is the value of f(x)=1/2x+5 when x=4
Which equation represents a proportional relationship?
Answer:
I think its "A"
The question is in the image.
Answer:
Both are linear functions.
Step-by-step explanation:
There are no same x values in the table and the graph passes the vertical line test.
Solve for x.
A. 10
B. 9
C. 7
D. 52
Answer:
B. 9
Step-by-step explanation:
5x + 7 = 52
- 7 - 7
5x = 45
x = 45 ÷ 5
x = 9
Answer:
Answer is x=9 so it will be B
Point R(4,-5) is reflected across the y-axis
to point S. Point S is reflected across the x-
axis to point T. What are the coordinatesn
of point T?
too hard Step-by-step explanation:
HOW MANY TABLE SPOONS ARE IN 1/4TH CUP
Answer:
4
Step-by-step explanation:
Answer:
4 tablespoons
Step-by-step explanation:
1 cup= 16 tablespoons
1/4 of 16 is 4
If f(x) = -x^2 + 6x - 1 and g(x) = 3x^2 - 4x-1, find (f - g)(x).
A. (f- g)(x) = -4x^2 - 2x
B. (f- g)(x) = 2x^2 + 2x-2
C. (f- g)(x) = 4x^2 - 10x
D. (f - g)(x) = -4x^2 + 10x
Answer:D
Step-by-step explanation:
(f-g)(x)= -x^2+6x-1- (3x^2-4x-1)
(f-g)(x)= -x^2+6x-1 -3x^2+4x+1
(f-g)(x)= -x^2-3x^2+6x+4x-1+1
(f-g)(x)= -4x^2+10x
The length of a Rectangle is five less than twice its width the perimeter is 26 m find the dimensions of the rectangle
Answer:
L = 7 m
W = 6 m
Step-by-step explanation:
P = 2L + 2W
26 = 2(2W - 5) + 2W
26 = 4W - 10 + 2W
26 = 6W - 10
+10. +10
36 = 6W
divide both sides by 6
36/6 = W
6 = W
L = 2(6) - 5
L =12 - 5 = 7
50 minutes and each day how many minutes will exercise in 7 days
Answer: 350 minutes
Step-by-step explanation: because you have to multiply 50 times 7
Answer:
350 minutes
Step-by-step explanation:
50 x 7 = 350 mins
