Answer:
(2/3,2)
Step-by-step explanation:
3*2/3+4
simplify 2=2
Assume that x = x(t) and y = y(t). Let y = x^2 + 6 and
dx/dt=4 when x=1
Find dy/dt when x = 1
Answer:
[tex]\frac{dy}{dt}[/tex] = 8
Step-by-step explanation:
Given:
x = x(t) and y = y(t)
Let y = x² + 6
By differentiating the given equation with respect to t,
[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2}+6)[/tex]
[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2})+\frac{d}{dt}(6)[/tex]
Since, [tex]\frac{dx}{dt}=4[/tex] when x = 1
[tex]\frac{dy}{dt}=2x\frac{dx}{dt}+\frac{d}{dt}(6)[/tex]
[tex]\frac{dy}{dt}=2(1)(4)+0[/tex] [By substituting the values of [tex]\frac{dx}{dt}[/tex] and x = 1]
[tex]\frac{dy}{dt}[/tex] = 8
A 381 foot cable runs from the top of a radio tower to a skate in the ground. If it hits the ground 167 feet from the base of the tower , what is the angle of elevation that is makes with the ground?
Answer:
64°
Step-by-step explanation:
Using Pythagoras rule :
Cosθ = adjacent / hypotenus
Adjacent = 167
Hypotenus = 381
Cosθ = 167 / 381
Cosθ = 0.4383202
θ = Cos^-1(0.4383202)
= 64.003
Hence, angle of elevation = 64°
Answer fast!!!!!!!!!!!!!!
In AQRS, q = 6.8 inches, r = 1.9 inches and ZS=141°. Find the length of s, to the
nearest 10th of an inch.
Answer:
c
Step-by-step explanation:
Maya has 54 cubic feet in her garden she already has 4.5 cublc feet of soil .Soil bags have 1.5 how many bags should maya purchace.
Answer: 33
Step-by-step explanation:
The cubic feet needed is 54 and she already has 4.5 cubic feet of soil. This mean that she will need 49.5 more.
= 54 - 4.5
= 49.5
Since each soil bag has 1.5, the number of soil bags needed will be:
= 49.5 / 1.5.
= 33
Therefore, she'll need 33 bags
There are 3 questions, am I correct on any of them? Geometry
Answer:I am pretty sure you are belive in youself
Step-by-step explanation:
What is the slope of the line whose equation is -2y = -3x + 5?
Answer:
[tex]m = \frac{3}{2}[/tex]
Step-by-step explanation:
Use the slope-intercept form y = mx + b to find the slope m.
In this way, we can conclude that we can write it in slope-intercept form, y = mx + b:
[tex]y = \frac{3}{2} x - \frac{5}{2}[/tex]
Your correct answer would be:
[tex]y = \frac{3}{2} x - \frac{5}{2}[/tex]
Have a marvelous day.
A broken rectangular-shaped window is being replaced. It measures 24 inches by 182
inches. How many square inches of glass are
needed to repair the window?
Answer: 432 or 4368
Step-by-step explanation:
multiply base and height this case 24,18. 24x18=432 or 182 x 24=4368
if you using 24 x 18 =432
if you using 182x24=4368
Similar polygons have corresponding sides that are proportional and corresponding angles that are -
A congruent
B parallel
C similar
D proportional
Please answer the correctly in the picture below 8TH GRADE MATHENMATICS?!
Answer:
B 3.5
Step-by-step explanation:
Hope it Helps!
1 Jesy invests £8000 for n years in a savings account.
To find the value, V, of her investment after n years she uses the formula:
V = 8000 × (1.025)n
(a) Write down the annual rate of interest Jesy earns.
(b) Find the total amount of interest Jesy earns in three years.
(Total for question 1 is 3 marks)
Answer:
2.5% , $8608
Step-by-step explanation:
Given data
From the given the expression V = 8000×(1.025)^n
The rate is given as
2.5%
For n= 3
The total amount is
V = 8000 × (1.025)^3
V= 8000*1.076
V= $8608
Hence the final amount is $8608
What are the coordinates of the point on the directed line segment from ( − 4 , 10 ) (−4,10) to ( 2 , − 10 ) (2,−10) that partitions the segment into a ratio of 1 to 3
Answer:
[tex]Z=(-2.5,5)[/tex]
Step-by-step explanation:
From the question we are told that
Point [tex]a=(-4,10)[/tex]
Point [tex]b= (2,-10)[/tex]
Ratio [tex]r=1:3[/tex]
Generally the section formula is mathematically given as
[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]
[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]
Generally the point P(x,y) is mathematically given as
[tex]x=\frac{1(2)+3(-4)}{1+3}[/tex]
[tex]x=-2.5[/tex]
[tex]y=\frac{(1)(-10)+(3)(10)}{1+3}[/tex]
[tex]y=5[/tex]
Required Co-ordinates Z is
[tex]Z=(-2.5,5)[/tex]
Help me please !!!
And thank you
Answer:
804.4
Step-by-step explanation:
the formula for the volume of a cube is the side length cubed,
so:
(9.3)(9.3)(9.3) = 804.357
then round it to 804.4
hope this helped!
Help please look at the image
Thanks
Answer: Option 1
Reason: Math
Solve the following proportion for x.
X/13 = 17/7
Round your answer to the nearest tenth.
Answer:
31.6
Step-by-step explanation:
x / 13 = 17 / 7
7x = 221
x = 221 / 7
x = ~31.6
solve this please
log(4x+16)=2
Answer:
X = -3.5
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
4x+16=2
-16 -16
4x= 2-16
4x=-14
/4 /4
x= -7/2
Another submarine's descent can be represented as `y=-240x`, where u is the elevation and x is time in hours. How long will it take this submarine to make the descent (2,100 feet below the surface)?
Answer:
The time it will take is 8hours 45mins.
Step-by-step explanation:
Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.
A descent of 2100 means y = –2100. Hence,
–2100 = –240x
x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).
What is the y-intercept, b, of the additive relationship represented by this table?
Enter your answer as an integer in the box.
b =
x y
1 4
3 6
Answer:
b = 3Step-by-step explanation:
Use the table to find the slope and y-intercept
Find the slope:
m = (6 - 4)/(3 - 1) = 2/2 = 1Find b using the pair (1, 4):
4 = 1*1 + bb = 4 - 1b = 3The line is:
y = x + 3The y-intercept is 3
Answer:
b = 3
Step-by-step explanation:
The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D
Answer:
The coordinates of D are (2,-2)
Step-by-step explanation:
The coordinates of point D are (2,-2)
The coordinates of the parallelogram are given as:
E(-1,4), F(5,6) and G (8,0)
For the coordinates to represent a parallelogram, the following must be true
[tex]x_D - x_E = x_G - x_F[/tex]
[tex]y_D - y_E = y_G - y_F[/tex]
So, the equations become
[tex]x_D -(-1) =8-5[/tex] and
[tex]y_D -4 =0-6[/tex]
Solve for x and y in the above equations
[tex]x_D -(-1) =8-5[/tex]
[tex]x_D +1 = 3[/tex]
[tex]x_D = 3-1[/tex]
[tex]x_D = 2[/tex]
[tex]y_D -4 =0-6[/tex]
[tex]y_D - 4 = -6[/tex]
[tex]y_D = 4-6[/tex]
[tex]y_D =-2[/tex]
Hence, the coordinates of point D are (2,-2)
Read more about parallelograms at:
https://brainly.com/question/11874218
ILL GIVE BRAINLIESAT FOR FIRST ANSWER!
Divide
3÷1/12
Step-by-step explanation:
is 36 hello my name is santiago i am fron Colombia
The perimeter of a rectangle is 260 yards. The length is 30 yards greater than the width. Find the dimensions of the rectangle.
Answer:
width: 50 yards
length: 80 yards
Step-by-step explanation:
I would write an equation to start
x = width
260 = 2x + 2(x + 30)
260 = 4x + 60
200 = 4x
x = 50
Width = 50 yards
Length = width + 30
Length = 50 + 30
Length = 80 yards
Answer fast!!!!!!!!!
Answer:
$0.52 = 0.52
Step-by-step explanation:
I think so.....
find the area of an equilateral triangle of side 12 cm
Step-by-step explanation:
root 3 by 4a²
root3/4*(12)²
36root3
Answer:
A≈62.35cm²
Step-by-step explanation:
A=3
4a2=3
4·122≈62.35383cm²
The vertex of the graph of g(x) = 3|x| + 4 is
Rick has $8x and Helen has twice that amount. They save $3 each per week.
What amount will be the sum of their money 4 weeks from now?
Answer:(24x - 22)
Step-by-step explanation:
(24x - ww)
Tessa is training for a marathon. She runs 13 km a day for 3 days. How many meters did Tessa run in all?
Answer:
39 km
Step-by-step explanation:
13 x 3 = 39km
Hope that helps!
The ratio of a:b is 3:4.
the ratio of b:c is 5:3.
work out the ratio of a:c
what is 8.154 to 1 decimal place?
Keelin’s hourly rate went from $9.50 per hour to $10.26 per hour. What is the percent increase?
Answer:
8%
Step-by-step explanation:
PLEASE HELPP PLEASEEE!!!!!!
