Answer:
A)
[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]
B)
[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]
Step-by-step explanation:
x and y are differentiable functions of t, and we are given the equation:
[tex]xy=6[/tex]
First, let's differentiate both sides of the equation with respect to t. So:
[tex]\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6][/tex]
By the Product Rule and rewriting:
[tex]\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0[/tex]
Therefore:
[tex]\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0[/tex]
A)
We want to find dy/dt when x = 4 and dx/dt = 11.
Using our original equation, find y when x = 4:
[tex]\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}[/tex]
Therefore:
[tex]\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0[/tex]
Solve for dy/dt:
[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]
B)
We want to find dx/dt when x = 1 and dy/dt = -9.
Again, using our original equation, find y when x = 1:
[tex](1)y=6\Rightarrow y=6[/tex]
Therefore:
[tex]\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0[/tex]
Solve for dx/dt:
[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]
what is the value of 6(2b-4) when b+5?
Answer:
The value of 6(2b-4) is 36.
Step-by-step explanation:
Given expression: 6(2b-4)
To find the value of 6(2b-4) at b=5, we need to substitute the b=5 in the expression, we get
6(2(5)-4)
= 6(10-4)
=6(6)
= 6x6=36
⇒ 6(2(5)-4)=36
Answer:
The value of 6(2b-4) when b=5 is 36.
Step-by-step explanation:
Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.
Please help me please please
Answer: I think it’s 30 you can do it yourself by drawing a rectangle and then multiplying the Length times width
Step-by-step explanation:
HELP WHATS THE ANSWER FOR THIS, WILL MARK BRAINLIEST!!!
ita the first answer 65..............
Somebody help me out real fast
Are the ratios 4:18 and 2:9 equivalent?
yes
no
Answer:
yes
Step-by-step explanation:
Step-by-step explanation:
Two ratios are given to us and we need to tell whether they are equivalent or not . Firstly let us say we have two ratios q:p and r:s . Here p & q are co-primes and r & s are also co-primes. Then the two ratios will be equal if and only if
q = rp = s .Theefore , the Ratios are ,
[tex]\begin{cases}\tt 4 : 18 \\\tt 2:9 \end{cases}[/tex]
Here we see that the ratio 2:9 is in simplest form that is HCF of 2 & 9 is 1 . But here 4:18 is not in simplest form . HCF of 4 & 18 is not 1 it's 2 .On dividing numerator and denominator by 2 , we have ,
[tex]\tt= \dfrac{4}{18}\\\\ = \tt \dfrac{4 \div 2}{18\div 2}\\\\ = \boxed{\orange{\tt \dfrac{2}{9}}}[/tex]
Therefore since the Ratios are equal in the simplest form . Therefore the Ratios are equal.
Please Help! ~ Math ~ You will get +10 points! ~ Multiple Chouce ~ 1 Problem!
In a basketball game, Sarah scored 4 points more than twice the number of points Jamie scored. Jamie scored 3 ponts. How many points did Sarah score?
A. 1 Point
B. 7 Points
C. 10 Points
D. 12 Points-
Answer:
10
Step-by-step explanation:
If Jamie scored 3, and sarah scored twice that much, multiple 3 by two
3x2=6
Sarah also scored 4 more points then twice of his points.
6+4=10
Your answer is ten points
Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3,4,1, -2,-8,7
Approximately what was the average low temperature for the week?
Answer:
-8
Step-by-step explanation:
-7+-3+4+1+-2+-8+7=-8divided by7=-1
A study found that there is no direct relationship between the time that 8th grade students spend brushing their teeth and their final math grade for the year. What is the correlation? positive , negative , no correlation
Answer:
no correlation
Step-by-step explanation:
because the teeth brushing had nothing to do with their grade, it would be no correlation.
Help please please help help please help!!!!
Answer:
14Explanation:
8.13×10¹⁴
What is an expression equivalent to 4(2x+7)
Answer:
1.) 8x+28 2.) 2(4x+14)
Step-by-step explanation:
simplify it by multiplying the 4
or
after simplifying you could divide by 2
option 1 is the best answer
cookies cost $2.50, where y represents the total cost of x, number of cookies
a. additive
b. Multiplicative
Answer:
Step-by-step explanation:
If the cookies cost $2.50 each, then the total cost of x cookies is
($2.50/cookie)(x), involving multiplication, not addition.
Answer:
Solution :-According to the question
Equation = y/x
Putting y as $2.50
= (2.50)x
And it's a multiplication
[tex] \\ [/tex]
HELLP I need this question
Answer:5^15
Step-by-step explanation: I am Smart :>
Answer:
[tex]5^{15}[/tex]
Step-by-step explanation:
[tex]\frac{(5^3)^9}{5^{12}} \\\\\frac{5^{27}}{5^{12}} \\\\5^{15}[/tex]
3 x 9 = 27
27 - 12 = 15
can someone confirm that i did it right i’m so confused
You are absolutely correct
Using the question from above Jenny shape what is the volume of her two cubes combined
Answer:
14•14•14= 2744
7•7•7= 343
2744+343= 3087
Step-by-step explanation:
all together it should be 3087
sorry if I'm wrong.
805 x 3
sssssssssssssssssss
Answer:
2415
Step-by-step explanation:
805 x 3
2415
What is 1/3 of 8 1/4
Answer:
2.75
Step-by-step explanation:
use a calculator
Hope this helps! :)
Helppp don’t comment random stuff :( thanks
Answer:
The slope is y=0.59x so 0.59
The y intercept is 0
Answer:
careful of taking pictures of problems. I got warnings and questions deleted when I had the picture of my question since it was violating the code of brainly since it was a different cite. -_-
Step-by-step explanation:
a line segment has endpoints P(-1,5)and Q(5,2) find the coordinate of that trisect the segment
Answer:
(1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)
Step-by-step explanation:
Moving from P to Q, we see that x increases by 6 and y increases by 3.
"Trisect" means "divide into three equal subintervals."
We find (1/3) of 6 (which comes out to 2) and (1/3) of 3 (which comes out to 1).
Thus, the first junction (between 1st and 2nd trisection) is (-1 + 2, 5 + 1), or (1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)
Need help for this question asap please
Answer:
option 4 = 25
Step-by-step explanation:
given= chord js and hL intersects at poimt p
to find = value of x
solution:according to the therom;
if the line extensions of the chordJS and HL INTERSECTS at point K then their lenghts satisfy
JK×KS=HK×KL
10×30=X×12
300=12x
300/12=x
25= x
One way to divide decimal numbers is to use an equivalent expression.
Complete the statements below to explain one way to find 8.4 ÷ 2.1.
Answer:
104Step-by-step explanation:
To determine how much a decimal was multiplied, you need to find how many places the decimal moved.
In this case we can see the decimal moved once. How many times the decimal moved can be represented by the zeros in the number. So 10 = 1
100 = 2 1,000 = 3 and it keeps going.
So since the decimal moved 1 time, the answer to question one is 10
Now question 2.
Both 8.4 ÷ 2.1 and 84 ÷ 21 will give the exact same answer. It is just easier to solve. So solve which one is easier for you. I did 84 ÷ 21.
84 ÷ 21 = 4
We can verify our answer by multiplying the the divisor by the quotient
21 * 4 = 84
So 4 is the answer to question 2
56°
101°
Find the value of the missing angle a.
Answer:
the x angle = 45 ............. 45
Factor completely 2x^3 + 6x^2 + 10x + 30
Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
Given equation: ax³ + bx² + cx + dGroup a & b, c & d: (ax³ + bx²) + (cx + d)Pull GCFs and factorsLet's apply these steps to the given equation.
Given equation: 2x³ + 6x² + 10x + 30Group a & b, c & d: (2x³ + 6x²) + (10x + 30)Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
List GCFs: 2x², 10Create a term: (2x² + 10)Finally, we'll need to simplify this one by taking another GCF, 2.
Pull GCF: 2(x² + 5)Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
Write an equation in standard form for the line that passes through (4, 4) and has a x-intercept of 3?
PLEASE HELP AS SOON AS POSSIBLE 4/19/2021
Answer:
y=4(x-3)
Step-by-step explanation:
if x=3, subtract 3 from each side to get x-3=0
point (4, 4). That is, when x=4, y=4.
Plug those in and solve for a.
y=a(x-3)
4=a(4-3)
4=a(1)
4=a
Thus,
y=4(x-3)
Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use.
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.
[tex]Scale = Length : Width[/tex]
For the painting,
[tex]Scale = 20: 16[/tex]
For the frame,
[tex]Scale = 15: w[/tex]
Since she wants to maintain the same ratio; both scale must be the same.
i.e.
[tex]15 : w = 20 : 16[/tex]
Express as fraction
[tex]\frac{w}{15} = \frac{16}{20}[/tex]
[tex]\frac{w}{15} = 0.8[/tex]
Make w the subject
[tex]w = 15 * 0.8[/tex]
[tex]w = 12[/tex]
The width of the frame must be 12 inches i.e. 15in by 12in frame
A recipe for 12 cupcakes uses 2/3 cups of sugar. The number of cupcakes is directly proportional to the amount of sugar. How many cupcakes can you make with 3 cups of sugar?
help please!! i need an answer before may 7th
Answer:
54 cupcakes
Step-by-step explanation:
You would see how much sugar goes into each cupcake which is 1/18 cups of sugar in each cupcake, next you would see how many cupcakes you can make by turning the total 3 cups of sugar into an improper fraction of 54/18, then you would see how many times 1/18 can go into 54/18 which is 54 times meaning that with 3 cups of sugar you can make a total of 54 cupcakes.
FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED
Answer:
Area of sector of circle = 7.6302 inches (Approx.)
Step-by-step explanation:
Given:
Angle of section = 35°
Radius of circle = 5 inch
Find:
Area of shaded section
Computation:
Area of shaded section = Area of sector of circle
Area of sector of circle = [θ/360][πr²]
Area of sector of circle = [35/360][(22/7)(5)²]
Area of sector of circle = [0.0972][(3.14)(25)]
Area of sector of circle = [0.0972][78.5]
Area of sector of circle = 7.6302 inches (Approx.)
Oliver uses 30 fruits to make a large batch of pineapple-orange juice. He uses 5 oranges for every 1 pineapple. He gets 2.5 fl oz of juice from each orange and 20 fl oz of juice from each pineapple
Answer:
isnt like 40 the answer (im sorry if im wrong 3rd grader)
Step-by-step explanation:
For the right triangle shown, whih equation can be used to find the vaule of x
Answer:
The answer is b
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
PLZZZ HELP ITS DUE AT 1:45
Answer:
a= 10 b= -13 c= -3
Step-by-step explanation:
First, you multiply 5x+1 and 2x-3
You then end up with 10x^2-13x-3 which is in ax^2+bx+c form
So, a would be 10, b would be -13, and c would be -3.
A butcher shop is selling steaks 2 for $7.00. The butcher sells 29 steaks today. How much money did the butcher make selling steaks today?
Answer:
The butcher made $101.50
Step-by-step explanation:
2 for 7.00
1 steak would be 7.00 divided by 2
7 divided by 2 is 3.5
1 steak is 3.50 dollars
29 steaks in total
29 multiplied by 3.50 is 101.5