9514 1404 393
Answer:
y = x + 2
Step-by-step explanation:
The slope-intercept form equation is ...
y = mx + b . . . . . . slope m, y-intercept b
We are given the slope, so we only need to find the y-intercept. When we solve for b, we find ...
y - mx = b . . . . . . subtract mx
8 - 1(6) = b = 2 . . . . fill in given values of (x, y) and m
Then the equation of the line is ...
y = x +2
The interest for a bank account is compounded quarterly. The equation 480(1.08)12 is used to calculate the value of the account after some amount of time.
The yearly interest rate for the account is
8%
3%
2%
32%
12%
Answer:
8%
Step-by-step explanation:
1.08 is an increase of 0.08, which is 8%
Answer: 3%
Step-by-step explanation:
since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.
Why did the physiocrats oppose mercantilism?
The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Answer:
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
PLEASE HELP Amber has 7 books to read. She will read 1/2 of a book each day. How many days will it take Amber to read all 7 books?
Answer:
14 days
Step-by-step explanation:
Why did the farmer open a bakery?
Answer:
yes
Step-by-step explanation:
yes
Answer:
Step-by-step explanation:
Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...
Name the special segment.
Answer:
Perpendicular bisector
Step-by-step explanation:
Have a great day!!
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble,
replace it, and draw another marble. What is the probability that the first will be red and the second will be blue?
a.) 20%
b.) 80%
c.) 8%
d.) 12%
Answer: Hope This Helps!
Step-by-step explanation:
I would estimate around 8% or 12% is the answer. Red Marbles are a small percentage and the chance it will be picked instead of something else is rare however blue marbles are the most common and chance one will be picked is fairly high.
to bake a cake, the recipe calls for 6 eggs. Arline wants to bake 24 cakes for her schools bake sale. how many eggs will she need in all for the 24 cakes?
Answer:
144 eggs
Step-by-step explanation:
1 cake = 6 eggs
24 * 6 = 144 eggs in total.
A longer way to do it is by adding 6, 24 times.
6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144
But by multiplying, it makes it easier to find the answer.
Please answer number 9 I’ll give brainliest
Answer:
2/3 or 66.7%
Step-by-step explanation:
there are 6 possible options. 2 of them are red. 6 options minus 2 = 4=4/3=2/3
Hi help me out thank youu love
Answer:
636
Step-by-step explanation:
SA=2LW+2LH+2WH
SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636
Answer:
The answer is 636
Step-by-step explanation:
Brainliest maybe?
:)
Reese used a $60 Amazon gift card to buy stickers for her friends. After paying for 12 stickers, her balance on the gift card was $18. What was the price of each sticker, assuming all the stickers cost the same amount?
Answer:
3.5 dollars per sticker
Step-by-step explanation:
60 - 18 = 42
42 ÷ 12 = 3.5
I think this is the correct but it may be not , sorry if I wasn't that helpful...
The product n and sum of n and 76
Answer:
n+76
n --> a number not determined (and a random product)
76 --> the number the problem gave
+ --> required for addition, which provides the sum
Help with this question!Please
Step-by-step explanation:
The given angle is a 90° . Therefore the sum of both angles is 90° .
> 40 + x = 90
> x = 90 - 40
> x = 50
Solution 2 ;-
> 20 + x = 90
> x = 70
What is the volume of the box
Answer:
Volume = 144 in.³
Step-by-step explanation:
Given:
Length = 9 in.
Width = 4 in.
Height = 4 in.
Required:
Volume
Solution:
Volume of a box = length * height * width
Volume = 9*4*4
= 144 in.³
y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′′(0) = 0
Answer:
y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
Step-by-step explanation:
To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0
Formula used -
L{δ(t − c)} = [tex]e^{-cs}[/tex]
L{f''(t) = s²F(s) - sf(0) - f'(0)
L{f'(t) = sF(s) - f(0)
Solution -
By Applying Laplace transform, we get
L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}
⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)} − 4L{δ(t −5)}
⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]
Now,
Let
[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]
By Comparing, we get
A + B = 0 and 3A + 2B = 1
⇒A = -B
and
3(-B) + 2B = 1
⇒-B = 1
⇒B = -1
So,
A = 1
∴ we get
[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]
So,
Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]
⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]
By applying inverse Laplace , we get
y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]
⇒y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
It is the required solution.
Need help fast.
A pool is shaped like a rectangle with a length of 4 times its width w. What is an
expression for the distance between opposite corners of the pool?
No links or files!!!
w represents width
4w represents length
d represents diagonal
w2 + (4w)2 = d2
w2 + 16w2 = d2
17w2 = d2
±w√17 = d
The diagonal is the width times √17.
PLZZ HELP!!!
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?
Answer:
the last one
Step-by-step explanation:
__________________
The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2, then determine the diameter of the circle that contains AH. (section 10.6 question 5 in geometry math nation)
Answer:
Diameter of the circle = 7
Step-by-step explanation:
The exact question is as follows :
Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2
To find - determine the diameter of the circle that contains AH.
Proof -
Given that,
AH = 6
RC = 2
Let us denote,
CB = x
So,
RB is the radius of the circle. It gives the value x + 2
As AH = 6
⇒AC = CH = 3
Also,
BH is the radius,
So, BH = x + 2
Now,
In triangle CBH,
BH² = CB² + HC²
⇒(x+2)² = x² + 3²
⇒x²+2² + 4x = x² + 9
⇒4 + 4x = 9
⇒4x = 9 - 4
⇒4x = 5
⇒x = 5÷4
⇒x = 1.5
So,
Radius = x + 2
= 1.5 + 2 = 3.5
⇒Radius = 3.5
As we know,
Diameter = 2×Radius
= 2×3.5
= 7
⇒Diameter of the circle = 7
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The prom is in need of a floral archway, such as the one below.
Segment RC is the perpendicular bisector of segment AH.
If AH = 6 and RC = 2.
Let CB be x.
Then the radius RB will be x + 2
BH = x + 2
Then by the Pythagoras theorem, we have
BH² = CB² + HC²
⇒ (x + 2)² = x² + 3²
⇒x² + 4 +4x = x² + 9
⇒ 4x = 5
⇒ x = 1.25
The radius will be
r = x + 2
r = 1.25 + 2
r = 3.25
Then the diameter will be
Diameter = 2 × r
Diameter = 2 × 3.25
Diameter = 6.5
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches
Answer:
v=LxWxH
v= 3/2x5/3x4
v=15/6x4
v=10in³
(15) A – 2 2/9 = 1 1/2
16) C – 6.0005 = 2.5
17) B + 55 = 83
Answer:
A= 67/18
C= 8.5005
B= 28
Step-by-step explanation:
What is the lateral surface area, in square inches, of the figure formed by the net?
Answer:
71 in²
Step-by-step explanation:
surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)
= 24+20+27 = 71 in²
Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?
Answer:
48
Step-by-step explanation:
One dozen is 12.
12 x 4 = 48
Help meeeeeee ASAP helppppppp
Answer:
45 × 1/3 = 15
Step-by-step explanation:
15 / (1/3) = (3×15)/1 = 45
so, from 15 / (1/3) = 45
we can then adapt the equation by multiplying both sides by 1/3
15 = 45 × (1/3)
rotate the object 90 degrees around the origin. What are the new coordinates?
Answer:
s
Step-by-step explanation:
d
Help!! If anyone could help, I’ll give Brainly! :) thank you so much
9514 1404 393
Answer:
$50
Step-by-step explanation:
The compounding period is 1 year, and the period of concern is 1 year. This means the simple interest formula will tell the answer to the question.
I = Prt
I = ($5000)(0.01)(1) . . . . . r = annual rate; t = years
I = $50
The interest earned in the account is $50.
Complete the table to find the MAD of the data set.
Answer:
15
Step-by-step explanation:
What is the volume of the rectangular prism? Help pls
Answer:
10ft³
Step-by-step explanation:
3 x 5 x 2 = 30
30 x 1/3 = 10ft³
Can you help me with this, please? Thanks in advance
Answer:
∠TRU is supplementary with ∠PQS as SQ║TR.
Supplementary angles add up to 180°.
m∠TRU = 180° - 82° = 98°Consider ΔRTU
∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:
m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°<TRU
180-<PQS180-8298°Sum of 2 interiors =exterior
<RTU
155-9857°what expressions are equivalent to 1/5•1/5•1/5•1/5
Answer:
Step-by-step explanation: Because equivalent expressions is when you Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
Help me HOW which choice is it
number 3 is correct
Step-by-step explanation:
smaller<bigger
6 times the difference between q and 1
Answer:
6q-1. It's not factorsble with rational mumbers.
Answer:
6q - 6
Step-by-step explanation:
6 x (q - 1) =
6 x q - 6 x 1 =
6q - 6
Hope that helps! :)
-Aphrodite