Answer:
D. 40 cups
Step-by-step explanation:
10÷2=5
5×8=40
She will use 40 cups of trail mix
Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
xy = 6
(a) Find dy/dt, given x = 4 and dx/dt = 11.
dy/dt =
(b) Find dx/dt, given x = 1 and dy/dt = –9.
dx/dt =
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]
The difference between a snert and a snart is six. The sum of twice a snert and a snart is eighteen. How large is a snert and how large is a snart?
Answer:
The measure of a snart is 2 and that of a snert is 8.
Step-by-step explanation:
Represent the size of a snert by e and that of a snart by a.
Then e - a = 6. This assumes that e > a.
2e + a = 18. Substitute e - 6 for a, obtaining:
2e + (e - 6) = 18.
Simplifying, we get
2e + e - 6 = 18, or
3e = 24, and so
e = 8
Remembering that e - a = 6, we have 8 - a = 6. Then a must be 2.
The measure of a snart is 2 and that of a snert is 8.
a car can travel 70 miles on 5 gallons of gasoline. how much gasoline will it need to go 308 miles
Answer:
22
Step-by-step explanation:
308/70 = 4.4
4.4 * 5
NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:
Answer:
the answer for this question is C
Step-by-step explanation:
base radius = 0.8
Height = 3.5
Volume of a cone =
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
V=1/3 x 3.14 x 0.8^2 x 3.5
V=2.3445 in^3
V= 2.34 in^3
please help me didn’t show up
Answer:
Step-by-step explanation:
Answer:
is this the full question?
Step-by-step explanation:
What is the volume of the cylinder?
Mariela bought gas for her car. Gas costs $2.12 per gallon, and
Mariela bought 23.5 gallons. How much did Mariela spend on gas?
Round to the nearest cent.
Answer:
$49.82
Step-by-step explanation:
Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas
100000000 x 66 pls i need help
Answer:
6,600,000,000
Step-by-step explanation:
six billion 6 hundred million
For which value of p and q does the following pair of linear equations have an infinite
number of solutions?
2x + 3y = 7
( p-q ) x + (p+q) y = 3 p + q -2
Answer:
yan lang po hindi ko alam
Step-by-step explanation:
sorry po hindi ko alam ehh
simplify
(4/9) to the power of 2
Please help me answer
Answer:
C
explanation:
x = 4/3πr³
cross multiply
3x = 4πr³
cube root both side
³√3x = ³√4πr³
³√3x = ³√4π x r
divide both side by ³√4π
r = ³√3x/4π
The quadratic below is in standard form using the equation y=5x^2 + 3x + 6 what is the b -value
a. 6
b. 5
c. 3
d. 1
Answer: 6
Step-by-step explanation:
Answer:
c) 3
Step-by-step explanation:
Prove that MNQ is congruent to PNQ (URGENT) help with all blanks
Answer:
In triangle QNP and QNM
3.QN=QN[common side]
so triangle QNP and QNM is CONGRUENT by A.A .S axiom.
Answer:
1. (its already filled out)
2. angle MQN = angle PQN
3. NQ=NQ
4. angle side angle
Step-by-step explanation:
checked on khan academy :)
Jasper's Pizzeria made 10 pizzas. 2 of the pizzas had pepperoni. What is the ratio of the number of pizzas without pepperoni to the number of pizzas with pepperoni?
How do I solve this?
Answer:
A,
Step-by-step explanation:
Opposites sides are equal in a rectangle.
Answer:
The answer is: "It has to be a rectangle. I measured the diagonals to be sure they were the same length."
Step-by-step explanation:
The other properties are true of a rectangle as well, but they could also be other shapes.
"It has to be a rectangle. The opposite sides are the same length."
This could also be describing a rhombus or square.
"It has to be a rectangle because it is not a square."
This could also be a rhombus, trapezoid, or even kite.
"It has to be a rectangle. I made sure that the two 8-foot boards are parallel and that the two 6-foot boards are parallel."
This can describe any parallelogram. Just because the sides are congruent and parallel does not mean that there are four 90degree angles formed.
"It has to be a rectangle. I measured the diagonals to be sure they were the same length."
This is a property of rectangle diagonals. They will always be congruent.
(8x2+8x)−(−9x2+8x)
I NEED STEP BY STEP don't just use a calculator.
Answer:
34
Step-by-step explanation:
(16+8x)-(-18+8x)
16-(-18)
34
Answer:
17x^2
Step-by-step explanation:
(8x^2+8x)- ( 9x^2+8x)
8x^2+8x + 9x^2-8x
17x^2
What is the image point of (-6, 5) after a translation right 2 units and down 4 units?
Answer: (8, 9)
Step-by-step explanation:
Answer:
(-4, 1)
Step-by-step explanation:
A rectangular pitcher is 3 inches wide, 9 inches long and 16 inches tall. If water is filled up to 5 inches, how much more water can be put in ther pitcher
Answer:
427
Step-by-step explanation:
Find volume
Subtract 5 inches
Find the value of x.
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
The external angle at V is half the difference of the subtended arcs:
(65° -25°)/2 = x° = 40°/2
x = 20
Julie pays $30 a month for her phone plus $2 for each
song she downloads. Which graph shows Jule's phone
bill based on the number of x songs she downloads?
B.
45
45
40
60
Phone Bill (dollars)
Phone Bill (dollars)
20
15
10
10
1 2 3 4 5 6 7 8 9 10
Songs Downloaded
23
6700
Songs Downloaded
C.
D
XXS
Phone Bill (dollars)
Phone Bill (dollars)
123
7910
Songs Downloaded
1 2 4 5
Songs Downloaded
Answer:
A
Step-by-step explanation:
You can look at the graph and infer that the line passes through 32 34 36 and so on
or
you can substitute y for the bill and x for the number of songs to see which graph is correct
y = 30 + 2x
For A, the line goes through 32 34 36 38 40 42 44 46 and 48
You can plug in 32 for y and 1 for x and so on
32 = 30 + 2*1 = 30 + 2
34 = 30 + 2*2 = 30 + 4
36 = 30 + 2*3 = 30 + 6
38 = 30 + 2* = 30 + 8
and so on
Math Math help help help ASAP please
Answer:
a.) 10,000
b.) 512
Step-by-step explanation:
Find the area of the figure
8. The speed of a
delivery truck
varies inversely
with the time it
takes to reach its
destination. If the
truck takes 3 hours
to reach its
destination
traveling at a
constant speed of
50 miles per hour,
how long will it
take to reach the
same location
when it travels at a
constant speed of
60 miles per hour?
2 hours
2 1/3 hours
2.5 hours
2 2/3 hours
Answer:
2.5 hours
Step-by-step explanation:
If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)
150 miles at 60 mph is 2.5 hours (150/60)
Hi guys! I really need help with this because im so stressed with my other classes and i need to pass this class in order to graduate. can someone help
Answer:
30
Step-by-step explanation:
For a right triangle there is a formula ---> a² + b² = c² ("c" is always the side not touching the right angle)
24² + 18² = c²
576 + 324 = c²
900 = c²
30 = c
The 3rd side is 30
find the missing side
PLEASE HELP!!!!
I just wanna make sure i’m doing this right
Answer:
175%
Step-by-step explanation:
The first one is a whole=1
the second one is cut in four but only 3 are shaded so 1/4=0.25 0.25*3=0.75
3/4/0.75 is shaded
so 1+0.75=1.75
1.75=175%
Solve for x transversal
Answer:
X=20
Step-by-step explanation:
3x=2x+20
X=20
Shelia buys 33kg of rice, 9kg of cornmeal, and a certain amount of flour at the supermarket. The amount of flour bought is a third of the amount of rice bought. How much flour was bought?
Answer: 11 kg
Step-by-step explanation:
Given
Shelia buys 33 kg of rice and 9 kg of cornmeal
The amount of flour bought is one-third of the amount of rice bought
The amount of flour is
[tex]\Rightarrow \dfrac{33}{3}=11\ kg[/tex]
5x-4<4(1+x) what is the answer and how do you do it
Answer:
[tex]5x - 4 = 4 + 4x \\ 5x - 4x = 4 + 4 \\ x = 8[/tex]
Answer:
x<8
Step-by-step explanation:
5x-4<4(1+x)
= 5x-4<4+4x
= 5x-4-4x<4
=5x-4x<4+4
= x<4+4
= x < 8
first distribute the 4 into the parenthesis on the right side of the expression. next collect like terms, so move the x's to the left side and the two fours to the other side. simplify both sides to find the answer.
i hope this helps :)
Help!
A 12-foot ladder leans against a building and makes an angle of 65 degrees with the ground. To the nearest foot, how far from the building is the base of the ladder?
Answer:
The foot of the ladder is 10 feet away from the base of the wall.
Step-by-step explanation:
Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder
h = 20 is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.
The foot of the ladder is 10 feet away from the base of the wall. [Ans]
answer: The foot of the ladder is 10 feet away from the base of the wall.
The foot of the ladder is 10 feet away from the base of the wall.
explanation:
Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder
h = 20 is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.