Answer:
y = 1.15x + 22
From first principles, find the indicated derivatives
By definition of the derivative,
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{s^3+3s^2h+3sh^2+h^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\frac{3s^2h+3sh^2+h^3}2}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 \frac{3s^2h+3sh^2+h^3}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 (3s^2+3sh+h^2)[/tex]
[tex]\displaystyle\frac{dr}{ds} = \frac{3s^2}2[/tex]
Give the coordinates and quadrant of Point Z.
Number graph ranging from negative ten to ten on the x and y axes. Point C is drawn at (negative four, five), point D is drawn at (negative nine, nine), point E is drawn at (five, zero), point I is drawn at (zero, nine), point J is drawn at (negative nine, zero), point L is drawn at (nine, negative nine), point P is drawn at (zero, negative nine), point X is drawn at (zero, five) and point Z is drawn at (nine, ten).
(9, 10) Quadrant II
(10, 9) Quadrant I
(9, 10) Quadrant I
(10, 9) Quadrant II
The coordinates and quadrant of Point Z is (9, 10) Quadrant I.
Which four quadrants of graph?The X and Y axes divide the graph plane into four quadrants:
The first quarter is at the upper right corner of the plane. In this quadrant, the x and y coordinates are both positive. The second quadrant is situated in the top left corner of the plane. In this quadrant, the x-coordinate is negative while the y-coordinate is positive. The third quarter lies at the lower left-hand corner of the plane. In this quadrant, the x and y coordinates are both negative. The fourth quarter is at the lower right corner of the aircraft. In this quadrant, the x-coordinate is positive while the y-coordinate is negative.Given:
Coordinates:
C( -4, 5), D(-9, 9), E(5, 0), I(0, 9), J(-9, 0), L(9, -9), P(0, -9), X(0, 5) and
Z(9, 10).
As, we know The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.
Hence, Z lies in Quadrant !.
Learn more about graph quadrant here:
https://brainly.com/question/12788228
#SPJ2
in which country has involved in world war
Answer:
The following countries were involved in the world warGermany
Austria-Hungary
Bulgaria
Ottoman Empire (the Central Powers)
These countries fought againstGreat Britain
France
Russia
Italy
Romania
Japan
United States (the Allied Powers).
A bike take 56 minutes to travel 8 km? How many minutes will take to travel 15?
Answer:
1 hour 45 mins
Step-by-step explanation:
56÷8=7
7x15=105mins
105mins=1hr 45mins
x=4y-7
2x+9y=-31
What be the answer
Answer:
x=-11
y=-1
Step-by-step explanation:
x=4y-7
2x+9y=-31
2(4y-7)+9y=-31
8y-14+9y=-31
17=-31+14
17y=-17
y=-1
x=4(-1)-7
x=-11
Answer:
x = -11, y = -1
Step-by-step explanation:
solving simultaneously,
2(4y-7) + 9y = -31
17y = 14 - 31
17y = -17
y = -1
back sub, we get:
x = 4(-1)-7
x = -11
so x = -11, y = -1
(–5, 2) and (3, r) has slope of 1/2
Answer:
value of r is 6
Step-by-step explanation:
Given that the slope is 1/2
So we can set up the linear equation like this:
y= 1/2x + b
Since it also goes through (-5, 2)
plug in:
[tex]2 = \dfrac12*-5 + b\\b=2 +2.5 = 4.5\\y = \dfrac12x +4.5[/tex]
Then we plug in x=3 to find out the value of r
[tex]r = \dfrac12*3+4.5=1.5+4.5=6[/tex]
If an apple and 3 bananas cost $2.50, but 2 apples and 5 bananas cost $4.50, then how many dollars do 3 apples and 6 bananas cost?
Answer:
See below:
Step-by-step explanation:
So we know that an apple and 3 bannans are dollar 2.50
We also know that 2 apples and 5 bannanas are dollar 4.50.
Therefore, if we subtract 2 apples and 5 bannanas from 1 apple and 3 bannanas we will get a price.
Therefore, 1 apple and 2 bannanas are 2 dollars. (4.50 - 2.50 = 2)
Now, we can multiply by 3 to get it for 3 apples and 6 bannanas.
3*1 + 3*2 = 2*3
3a + 6b = 6 dollars.
The cost of 3 apples and 6 bananas is $7 and this can be determined by forming the linear equation in two variables.
Given :
An apple and 3 bananas cost $2.50.2 apples and 5 bananas cost $4.50.Let the cost of one apple be 'x' and the cost of one banana be 'y'. Then the cost of an apple and 3 bananas is given by the equation:
x + 3y = 2.5 --- (1)
The cost of 2 apples and 5 bananas is given by the equation:
2x + 5y = 4.5 ---- (2)
Now, solve the equation (1) for 'x'.
x = 2.5 - 3y --- (3)
Now, put the value of 'x' in equation (2).
2(2.5 - 3y) + 3y = 4.5
5 - 6y + 3y = 4.5
0.5 = 3y
[tex]y = \dfrac{1}{6}[/tex]
Now, put the value of 'y' in the equation (3).
[tex]\rm x = 2.5-3\times \dfrac{1}{6}[/tex]
x = 2
Now, the cost of 3 apples and 6 bananas will be:
[tex]3 \times 2 + 6 \times \dfrac{1}{6} = 7[/tex]
So, the cost of 3 apples and 6 bananas is $7.
For more information, refer to the link given below:
https://brainly.com/question/13911928
Find the difference (10j-7)-(-9j+2)
Answer:
19j-9
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10+9=19j
-7-2=9
Evaluate. 10/1·(−4) Enter your answer in the box.
I’ll give brainliest if its correct on the test! (And if i can figure out how)
Step-by-step explanation:
10/1(-4)
10(-4)
=-2.5 or 5/-2
A suspension bridge with weight uniformly distributed along its length has twin towers that extend 55 meters above the road surface and are 1200 meters apart. The
cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the
cables at a point 300 meters from the center. (Assume that the road is level.)
The height of the cables is meters.
(Simplify your answer.)
Answer:
try kopo
Step-by-step explanation:
55+1200+300=1555
Answer:
Step-by-step explanation:
start by graphing it (see picture)
formula for a parabola: y=ax²
using the coordinates (600,55) we get
55=a*600²
a=55/(600²)
so now it's just a matter of plugging in 300 for x
(55/600²)*300²= 13.75
Solve 2/v + 1/w = 1/2 for v
Answer:
v=(-4w)/(-w+2)
express 1 000 000 in standard form
Answer:
10^6.
Step-by-step explanation:
There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.
What expressions areequalivent to 6 x 4 1/2
Answer: 32 + 1 and 5 x 2
epic gamer question i'll mark brainliest
Answer:
I think it is parallel
Step-by-step explanation:
An employee earns $480 per week. They are entitled to 4% vacation pay. How much vacation pay should they receive per week?
Answer:
480 * 0.04 = 19.2
$19.20
These triangles
are congruent by
the triangle
congruence
postulate [? ].
A. ASA
B. Neither, they are not congruent
C. AAS
Since in the two triangles,
2 angles and the side between them is given and equal, the triangles are congruent using the Criteria ASA.
Option A is the correct answer.
Tim has 2/3 cup of chocolate syrup. If he uses 1/9 cup of chocolate syrup for each serving of chocolate milk, how many servings of chocolate milk can he make
Answer:
6 servings
Step-by-step explanation:
Each serving Tim uses 1/9 cup. So, after using the amount of syrup reduces and repeated subtraction is division.
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex]
[tex]=\dfrac{2}{3}*\dfrac{9}{1}[/tex]
= 2 *3
= 6
The height of Tower A is 690 feet more than Tower B. The two towers have a combined height of 1,384 feet. What are the heights of each tower?
Tower B is feet tall
(Simplify your answer. Type an integer or a decimal)
Tower A is feet tall
(Simplify your answer. Type an integer or a decimal.
Step-by-step explanation:
A = 690ft + B
A + B = 1.384ft
(690ft + B) + B = 1.384ft
2B = 1.384ft - 690ft
2B = 694ft
B = 694ft ÷ 2
B = 347ft
A = 690ft + B
A = 690ft + 347ft
A = 1.037ft
Tower A → 1.037 feet
Tower B → 347feet
four and three sevents plus six and one fith.
What will it cost to carpet a rectangular floor measuring 21 feet by 9 feet if the carpet costs $31. 29 per square yard?
Answer:
$657.09
Step-by-step explanation:
The area of the carpet is:
21 × 9 = 189 Square foot
189 foot² = 21 yard²
We know 1 yard² = $31.29
So 21 yard² = 21 × $31.29 = $657.09
Question 10 of 10
Which of the following is the solution to the inequality below?
-2/6(4-x)<4(x+1/2
Answer:
x > -11/10
Step-by-step explanation:
-2/6(4-x) < 4(x+1/2)
-1/3(4-x) < 4x + 2
-4/3 + 1/3x < 4x + 2
-4 +x < 12x + 6
x - 12 x < 6 + 4
-11x < 10
x > -11/10
72 boxes sold out of 90 boxes what percent sold
Answer:
80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
90 boxes = 100%
72 boxes = ?
=> (72 * 100)/ 90 = 80%
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!
Answer:
In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.
Step-by-step explanation:
I hope this helps!
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Answer:
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Arrange the following numbers in descending order: 50,101 501,100 51,150 500,101
Answer:
Step-by-step explanation:
Hope it helps,view the image:
Solve 8T 1398lb 14oz * 6
this is soo funny
haha thanks for the points
If p - 5q = 4qr,
p
find the value of p when
q = 4 and r = -1.
Answer:
p - 5q = 4qr where
q = 4 and r = -1 by applying these value
p - 5(4) = 4(4)(-1)
p - 20 = -16
p = -16 + 20
p = 4
Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks s and ties t on sale for $4 and $11, respectively. Which equation models this situation?
Answer:
4s + 11t = 75
Step-by-step explanation:
Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.
s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).
t is the number of ties that are bought.
4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+
11t represents the total cost of the ties that are bought
Line ℓ has equation y=5. Find the distance between ℓ and the point Q(0,1).
Answer:
Distance = 4
Step-by-step explanation:
Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.
In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (0, 5)
Substitute these values into the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]
[tex]d = \sqrt{(4)^{2}}[/tex]
[tex]d = \sqrt{16}[/tex]
d = 4
Therefore, the distance of line ℓ from point Q is 4.
HELPPP PLZ PLZ PLZ 15 BRANULASR When x is decreased by 129 and then that number is multiplied by 129 , the result is 129. What is the value of x?
Answer:
130
Step-by-step explanation:
(x - 129) * 129 = 129
x - 129 = 129/129
x - 129 = 1
x = 129 + 1
x = 130
Answer:
x could equal 130 but I'm not sure about this one
Step-by-step explanation:
you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though
