Answer:
6
Step-by-step explanation:
A jacket with an original price of $67.80 is discounted 10%. What is the sale price?
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]
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
Solve for x transversal
Answer:
X=20
Step-by-step explanation:
3x=2x+20
X=20
Select ALL expressions that simplify to 2x -1.
a. 8x - 6x - 3 - 2
b. 9 -7x + 3x -8
c. x + x - 1
d. 3x + 2 -x - 2
e. -5 + 10x - 8x + 4
Answer:
A,C, and E
Step-by-step explanation:
a. 8x - 6x - 3 - 2
=2x-1 YES
b. 9 -7x + 3x -8
=9-8-7x+3x NO
c. x + x - 1
2x-1 YES
d. 3x + 2 -x - 2
=3x-x+2-2
2x+0 NO
e. -5 + 10x - 8x + 4
=10x-8x-5+4
=2x-1 YES
Hope it helps!
Which polygons are NOT quadrilaterals? Select THREE that apply.
Answer:
a cylinder, a sphere, and that little half sphere thing, oh and a triangular pyramid
Step-by-step explanation:
f(x)=x^2−10x+21 in factored form
Answer:
(x-7)(x-3)
Step-by-step explanation:
The factored form of f(x)=x^2-10x+21 is (x-7)(x-3). In order to find the factored form, you have to find what values add to -10, yet multiply to 21. So, the values that add to -10 and multiply to 21 are -7 and -3. x and x multiply to x^2.
In conclusion, the factored form of f(x)=x^2-10x+21 is (x-7)(x-3).
100000000 x 66 pls i need help
Answer:
6,600,000,000
Step-by-step explanation:
six billion 6 hundred million
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)
help me plzz plzz pleases
Answer:
Look at the image I included
HELLP
What is the formula for finding the perimeter of a polygon?
Answer:
P=n*s
Step-by-step explanation:
n is the number of sides and s is the length of any one side.
Answer:
It depends on the polygon.
Perimeter is the distance around a figure, so the formula changes for what type of polygon it is. For example, a square would be 4l or the length of one side times 4.
To find the perimeter for any polygon, regular or irregular, use the distance formula for each side. Then add all values together.
The distance formula is [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Where [tex](x,y)[/tex] is one edge and [tex](x_2 , y_2)[/tex] is another edge, both belonging to the same side. This formula calculates the unit length of a side of your choice. For irregular figures, you have to use this formula for every side. For regular figures, just multiply the distance by how many sides there are.
Distance calculator for 2d grid: https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php
Distance formula explanation: https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/v/distance-formula#:~:text=Learn%20how%20to%20find%20the,distance%20between%20any%20two%20points.
The function p(x) = –2(x – 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 apiece?
$15
$28
$172
$244
Answer:
the answer is 28
Step-by-step explanation:
i know this because i got it wrong and it told me
What is m∠1? Help me, please
Answer:
32°
Step-by-step explanation:
Since the 147° angle and ∠2 form a Linear pair, sum of these angle must be 180°
147° + ∠2 = 180°
∠2 = 180° - 147° [subtracting 147° from both sides]
∠2 = 33°
Since all internal angles of a triangle add up to 180°,
∠1 + ∠2 + 115° = 180°
∠1 + 33° + 115° = 180°
∠1 + 148° = 180°
∠1 = 180° - 148° [subtracting 148 from both sides]
∠1 = 32°
HELP PLZ BRAINIEST TO WHOEVER RIGHT
Answer:
five-number summary
Step-by-step explanation:
Can someone tell me if this is a adjacent ,vertical or linear
Answer:
linear
Step-by-step explanation:
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
sum of angles on a straight line is 180° thus linear angle is also be 180° when the two angles a and b combine
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%
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 :)
Learning math. The Core Plus Mathematics Project (CPMP) is an innovative approach to teaching mathematics that engages students in group investigations and mathematical modeling. After field tests in 36 high schools over a three-year period, researchers compared the performances of CPMP students with those taught using a traditional curriculum. In one test, students had to solve applied algebra problems using calculators. Scores for 320 CPMP students were compared with those of a control group of 273 students in a traditional math program. Computer software was used to create a confidence interval for the difference in mean scores (Journal for Research in Mathematics Education, 31, no. 3, 2000).
Conf. level: 95%
Variable: µ(CPMP) — µ(Ctrl)
Interval: (5.573, 11.427)
a) What is the margin of error for this confidence interval?
b) If we had created a 98% confidence interval, would the margin of error be larger or smaller?
c) Explain what the calculated interval means in this context.
d) Does this result suggest that students who learn mathematics with CPMP will have significantly higher mean scores in applied algebra than those in traditional programs? Explain.
Answer:
D is the answer
Step-by-step explanation:
what is the correct answer to x^2+y^2+4x-2y=-1
Answer:
hold on the answer in the picture
Step-by-step explanation:
sry for it being so blurry
Help please on this asap
It is a
Scalene and Right angle
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?
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
please help me didn’t show up
Answer:
Step-by-step explanation:
Answer:
is this the full question?
Step-by-step explanation:
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
Up to 12 people, p, can ride in the van.
Answer:
12 people can fit so the van had enough sests
What is the volume of the cylinder?
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
PLS HELP
Which number line represents the solution to the inequality 125x + 200 > 1,200?
find the product (please list step by step)
( 4x^{7}y^{2} ) ( 3x^{3} y^{2} )
Answer:
The answer is 12x¹⁰y⁴.
Hope this helped!!
Step-by-step explanation:
1. ( 4x⁷y² ) ( 3x³y²)
2. 4x⁷y² ₓ 3x³y²
A number rounded to the nearest thousand is 400,000. The same number rounded to the nearest ten thousand is 350,000. What could be the number
i think the numbers are the same
Answer:
i think the answer is 354,900.
Step-by-step explanation: