Answer:
80%
Step-by-step explanation:
What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)
Answer:
y=2x+1
Step-by-step explanation:
y=mx+b
m=(13-5)/(6-2)
m=8/4
m=2
b=y-mx
b=5-2*2
b=5-4
b=1
y=2x+1
Answer:
y=2x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(13-5)/(6-2)
m=8/4
m=2
y-y1=m(x-x1)
y-5=2(x-2)
y-5=2x-4
y=2x-4+5
y=2x+1
The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area to 4 decimal places.
Answer:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Step-by-step explanation:
The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:
[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)
[tex]s = 2\pi\cdot r[/tex] (2)
Where [tex]r[/tex] is the radius of the sphere, in centimeters.
By applying (2) in (1), we derive this expression:
[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]
[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)
By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:
[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]
[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)
Where:
[tex]s[/tex] - Measure circumference, in centimeters.
[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.
If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:
[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
What is 5/8 divided by 1/4
001
001
00
100
001
00
001
IN
A
0 1
Answer:
Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 and 1/2
Step-by-step explanation:
when you divide a fraction you keep, change, flip
Equation: 5/8 ÷ 1/4
keep 5/8 the same
change the divide symbol into a multipulcation symbol
flip 1/4 the other way, so it's 4/1 (it's a whole number now)
then just multiply across
Equation now: 5/8 × 4/1
Simplify the expression:
6(h + 6) + 1
Answer:
This is your answer
Answer:
6h + 37
Step-by-step explanation:
=> 6(h + 6) + 1
=> 6h + 36 + 1
=> 6h + 37...ans
HOPE IT HELPS U!!!!i need help asap!!!!
Answer:
760 inches squared
Step-by-step explanation:
surface area -
4(14 x 10) + 2( 10 x 10) = 560+200=760
1. When observing the specimen, in which
part of the microscope will you place it?
A. base
B. stage
C. eyepiece D. inclination joint
Answer:
b. the stage
Step-by-step explanation:
The stage typically has a stage clip on either side to hold the slide firmly in place.
What two numbers are exactly four units away from 6
Answer:
2 and 10
Step-by-step explanation:
6+4=10, and 6-4=2.
The number four units away from 6 are 2 and 10 and are represented below the number line.
What is a number line?The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Given that,
Four units away from 6
Four units higher →
6 + 4 = 10
Four units lower →
6 - 4 = 2
In the below number line, it is shown diagrammatically.
Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".
To learn more about the number line,
https://brainly.com/question/13189025
#SPJ5
Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in
Answer:
height be 4 in
length be 9 in
ANd, the width be 7 in
Step-by-step explanation:
Let us assume the height of the box be x
So the length would be 2x + 1
And, the width be x + 3
As we know that
The volume of the rectangular box = length × width × height
252 = (2x + 1) × (x + 3) × (x)
252 = (2x^2 + x) × (x + 3)
252 = 2x^3 + 6x^2 + x^2 + 3x
2x^3 + 7x^2 + 3x = 252
2x^3 + 7x^2 + 3x - 252 = 0
after solving this
x = 4
So height be 4 in
length be 9 in
ANd, the width be 7 in
For this cylinder the radius = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?Use 3.14 what is this answer
Answer:
896.784
Step-by-step explanation:
Comment if you want the explanation
What is the answer
How do you solve it
Answer:
-50y+(-80)
Step-by-step explanation:
Help me please I give brainliest and be serious
Answer:
15, y = 1/2x + 3.75
Step-by-step explanation:
Am not 100% sure but for #15
cuz I graphed it & it looks alike
9.
A. 7
B. 15
C. 12
D
Answer: d=20?
Step-by-step explanation:
The cost of DVDs will grow at a rate of $1.40 each year. In 2013, a new DVD cost $17.99. Let z be the number of years since 2013.
Which function models the price of a new DVD 2 years after 2013?
O f (z) - 17.99 + 1.0147
O f (2) - 17.99 +1.42
f (x) – 17.99(1.4)
O f(z) – 17.99(1.014)
Answer:
A, because A is the answer(I have my reasons) so A.
Alexis earns $50 a day for five days this week. Her weekly expenses are $280. How can she balance her budget?
a
increase her income $5 each day
b
increase her income $20 this week
c
decrease her expenses by $30
d
decrease her expenses by $20
Answer:
i think the answer is B
Step-by-step explanation:
What is the answer to this
Muriel says she has written a system of two linear
equations that has an infinite number of solutions. One
of the equations of the system is 3y = 2x - 9. Which
could be the other equation?
Answer:
The other equation could be: 6y = 4x - 18
Step-by-step explanation:
System with infinite number of solutions:
A linear system has an infinite number of solutions when one equation is a multiple of another.
One of the equations of the system is 3y = 2x - 9. Which could be the other equation?
A multiple of 3y = 2x - 9
Multiplying by 2, the other equation could be: 6y = 4x - 18
Answer:
B: y=2/3 x -3
Step-by-step explanation:
I got it right on Edge
slove this plzzz plzzz
Answer:
an equilateral triangle have equal angles and equal sides.
so, side x and side bc are 12.
Answer:
It's going to be 12, so is the other size.
Step-by-step explanation:
You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D
Andrew bought 3 boxes of granlla bars. There are 13 granola bars in each box. choose the expression that shows how many granola bars Andrew brought.
13+b
13b
b÷13
13÷b
Answer:
13b
Step-by-step explanation:
Answer:
The correct Answer is B: 13B
Step-by-step explanation:
Have A Nice Day.
Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.
Answer:
C
Step-by-step explanation:
Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?
Answer:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
Step-by-step explanation:
Complex numbers:
The following relation is important for complex numbers:
[tex]i^2 = -1[/tex]
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Has zeros −19 and −i
If -i is a zero, its conjugate i is also a zero. So
[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]
Output of 40 when x=1
This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So
[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]
[tex]40 = a(20)(2)[/tex]
[tex]40a = 40[/tex]
[tex]a = 1[/tex]
The polynomial is:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
pls help will mark brainliest
Answer:
80in²
Step-by-step explanation:
Hey There!
So the first step of this problem is to find the width of the scale drawing
To do so we need to find the scale factor
To find the scale factor we divide the length of the room by the length of the scale factor
32/8=4
so the scale factor is 4
now to find the width
40/4=10
so the width of the scale drawing is 10 in
now we can find the area given the length and the width
10x8=80in²
so we can conclude that the area of the scale drawing is 80in²
The linear function f(x) = 0 5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function 9(x) represents the average test score in your science
class, where x is the number of the test taken.
x 0x)
1 81
283
3 85
Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after the completing test 2.
Part C: Which class had a higher average after completing test 4? Show work to support your answer
Answer:
more information
Step-by-step explanation:
Howdy!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
Answer:
Right square pyramid
Volume:
V = 1/3a²h = 1/3*3²√(4² - (3/2)²) = 11.1 ft³Surface area:
A = a² + 2al = 3² + 2*3*4 = 33 ft²Which expression is equal to x + (f+g)? (1 point)
Answer:
x + f(x) + g(x)
Step-by-step explanation:
(f+g) = f(x) + g(x)
Therefore, x + (f+g) = x + f(x) + g(x)
If you are given equations to go with f(x) and g(x), you would plug in those equations to the above expression then combine like terms to find the fully simplified expression equal to x + (f+g).
I need help with this !
Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)
a = 12 m
b = 5 m
c = 13 m
P = 30 m
s = 15 m
K = 30 m2
ha = 5 m
hb = 12 m
hc = 4.6153846153846 m
Step-by-step explanation:
What is the area of the top AND bottom faces?
Answer:
Top : 24cm²
Bottom : 24cm²
Step-by-step explanation:
Surface area : Base × Height
Top :
3 × 8 = 24
Bottom :
3 × 8 = 24
What is an equation of the line that passes through the points (7,4) and (-5,4)
Answer:
y=4
Step-by-step explanation:
the parallelogram height is 1 and 1/2 times the base length and the base length is 6
please help me solve this problem!!
Answer:
here's the link to the answer
Step-by-step explanation:
WWW.math.com/int.etg