Given:
Candle A comes out of the mold at 211 mm, and is expected to be at 187 mm after 8 hours of burning.
The model for Candle B is
[tex]h=210-5t[/tex]
where, h is the height in millimeters and t is the time in hours.
To find:
The initial values for each candle and its interpretation.
Solution:
Candle A comes out of the mold at 211 mm, and is expected to be at 187 mm after 8 hours of burning.
So, initial value of candle A = 211 mm
The model for Candle B is
[tex]h=210-5t[/tex]
Putting t=0, we get
[tex]h=210-5(0)[/tex]
[tex]h=210-0[/tex]
[tex]h=210[/tex]
So, initial value of candle B = 210 mm
Initial values for each candle tell you about the height of the candles before they start burning.
Initial value of candle A is greater than B, so the height of candle A is greater than B before they start burning.
Therefore, the initial value of candle A is 211 mm and initial value of candle B is 210 mm.
If a = –2 – 5i and b = –i, then find the value of the ab^3 in fully simplified form.
Answer:
5 + 2i
We were given the complex numbers;
a = - 2 - 5i
and
b = - i
We want to find the product;
ab^3 ^ = Exponent
We substitute the complex numbers into the expression and simplify
( - 2 - 5i ) (i)^3 ^ = Exponent
This is rewritten as:
( - 2 - 5i) (i)^2 x i ^ = Exponent
Note that
i^2 = - 1 ^ = Exponent
We substitute to obtain:
( - 2 - 5i ) x - i
Let us expand to get:
- 2 x - i + 5i x - i
This simplifies to:
2i - 5i^2 ^ = Exponent
This gives:
2i - 5 ( - 1 ) = 2i + 5
Hope This Helps
DOH! My Brian Hurts
The value of ab³ in simplified form is; -250(i + 1).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
From the given values in the question we have;
a = -2 + 2i
b = -5i
Thus
ab³ = (-2 + 2i) × (-5 i)³
= (-2 + 2i) (-125 i³)
= (-2 + 2i) (-125 (-i))
= (-2 + 2i) (+125 i)
= 125 i(-2) + 125 i(2i)
= -250 i + 250 i²
= -250 i -250 or,
ab³ = -250 (i+1)
To know more about equation:
brainly.com/question/10413253
#SPJ2
A map key shows that a map distance of 1/3 inch represents an actual
distance of 4/7 mile. Find the actual distance represented by 1 inch on the
map."
Answer: 12/7 or 1 5/7 of a mile
Step-by-step explanation: To get to 1 mile, you multiply 1/3 by 3. Then multiply 4/7 by 3. That should give you your answer. Hope this helped!
You created a Gingerbread house out of the same dough. Each side of the house is a 4 x 6 rectangle. How much Gingerbread dough would you need to create the entire house including the floor? Hint: find the surface area.
Answer:144
Step-by-step explanation:
4x6x6=144
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!
the area of the retangler piece of foil is 11 1/4 square inches its length is 4 1/2 inches what is the width of the foil?
Answer:
The width of the foil = w = 2.5 inches
Step-by-step explanation:
We know that the Area of a rectangular piece:
[tex]A=wl[/tex]
Here:
'w' is the width 'l' is the lengthGiven that area of the rectangular piece of foil:
Area = A = 11 1/4 square inches
= 45/4 square inches
= 11.25 square inches
Length = l = 4 1/2 inches
= 9/2 inches
= 4.5 inches
Using the Area formula
[tex]A=wl[/tex]
[tex]w\:=\:\frac{A}{l}[/tex]
[tex]=\frac{11.25}{4.5}[/tex]
[tex]= 2.5[/tex] inches
Thus, the width of the foil = w = 2.5 inches
Answer:
Step-by-step explanation:
I think it would be 5
See the attached photo
Answer: D
Step-by-step explanation:
X is 0 so it would be intercepting the graph at -2
From a graph, how do you identify the solution of a system of equations?
Answer: Wherever the all graphs of the equations intersect, or cross each other, that is a solution to the system of equations.
Step-by-step explanation:
30 inches in centimetres
Answer:
76.2 cm
Step-by-step explanation:
If you convert, said inches, it wouldn't be an exact number, but it would equal 76.2.
ASAP HELP FOR BRAINLIEST!!!
A basketball player's goal was to score at least 275 points in the season. So
far, he has scored 212. If there is one game left, how many points must he
score to reach his goal? Be sure to include an inequality to represent this
scenario.
Answer:
63 more points
Step-by-step explanation:
275(goal) - 212(current points) = 63(points needed)
Check your work: 212+63=275
He needs to score 63 points
Determine the measure of the unknown angle in the triangle.
you add 78 plus 37 then subtract from 180
Answer:
65°
Step-by-step explanation:
Let the unknown angle be ∠ABC
∠ABC + 78° + 37° = 180° (angle sum property of a triangle)
∠ABC + 115° = 180°
∠ABC = 180° - 115°
∠ABC = 65°
∴the unknown angle in the triangle is 65°
Please help! NEED FAST Will give brainliest
Answer:
25+3b/4
Step-by-step explanation:
9+7 because 9 is how many miles the first guy biked in 45 minutes and the 7 is how many miles apart they were in the first place.
9+7+9+3b/4
Step-by-step explanation:
Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds
Answer:
12 pounds
Step-by-step explanation:
You have to divide the mass value by 16.
can someone please help me!!!!!! and don't steal meh points
Answer:
-6
Step-by-step explanation:
Say something stupis if you want a brainlest answer.
Answer:
something stupis if you want a brainlest answer.
l o l
s t u p i d enough for ya X D
ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha
need help with algebra
Please help me soon thxs
Answer: Vertical angles
Step-by-step explanation:
Answer:
Vertical Angles
Step-by-step explanation:
Vertical angles are "any opposite pairs of angles made by intersecting lines."
Also, if 2 angles are vertical, they are also congruent.
I have another question:
If triangle GFE~ to triangle ABC, Find FG.
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
helooooooooooooooooooooooooooo
Answer:
you are asking what dont understand
Step-by-step explanation:
Please solve and explain
Answer:
The value of x = 15
Hence,
AB = x = 15 inBC = 2x+1 = 2(15)+1 = 30+1 = 31 inAC = x-3 = 15 - 3 = 12 inStep-by-step explanation:
We know that the perimeter of a triangle is the sum of all the sides of a triangle.
Given
Perimeter = 58 in
AB = x
BC = 2x+1
AC = x-3
so the equation becomes
Perimeter = AB + BC + AC
58 = x + 2x+1 + x-3
58 = 4x - 2
4x = 58+2
4x = 60
4x/4 = 60/4
x = 15
Thus, the value of x = 15
Hence,
AB = x = 15 inBC = 2x+1 = 2(15)+1 = 30+1 = 31 inAC = x-3 = 15 - 3 = 12 inVERIFICATION
Perimeter = AB + BC + AC
58 = 15+31+12
58 = 58
I need help Fast!!!!
Answer:
option 3 i believe
Step-by-step explanation:
What is the perimeter of △JKL? 6 9.5 11.5 19
Answer:
the awnser is 19
Step-by-step explanation:
i got it correct on edge2020
Please help. If this isn't done by today i'm grounded :(
A _____ magnet can be made by rubbing a permanent magnet the same way
along an item. The alignment of atoms does not last long.
permanent
temporary
atomic
polar
Answer:
B. temporary
Step-by-step explanation:
The last sentence says that the alignment of atoms does not last long.
Answer:
B. temporary
Step-by-step explanation:
HELP ME OUT PLS!!!!!!!!
Answer:
C is better
Step-by-step explanation:
42mph is greater than 32mph
Answer:
the answer is b
Step-by-step explanation:
how many miles per gallon can the car get.
Mark and Dennis help their grandfather make rootbeer. They need 4 pounds of sassafras to make one barrel of rootbeer, but they only have 1 pound.
How much rootbeer can they make?
Answer:
the total is your denominator and how much they have is the numerator so the answer is 1/4 or one fourth
Step-by-step explanation:
1. Circle the largest number.
|- 45 and 6
Answer:
6 is larger unless -45 is in brackets then its bigger
Step-by-step explanation:
No negative number is bigger than positive numbers, unless it has brackets
Answer:
-45
Step-by-step explanation:
The negative is in brackets making it positive and 45 is greater than 6
Emily's car broke down the weekend before she started a new job. She borrowed $880 from her parents, at an annual interest rate of 3%, to quickly pay for the car repairs. If Emily paid her parents a total of $893.20 in six months, how much simple interest did she pay?
Answer:
$13.2Step-by-step explanation:
Step one:
given data
principal=$880
rate= 3%
final amount = $893.2
time t= 6 months =0.5 years
Step two:
Required
Simple interest
SI=PRT/100
SI=880*3*0.5/100
SI=1320/100
SI=13.2
She paid Simple interest of $13.2
Original Equation: -5x + 2 = 5
First Step: --5x = 3
distributive property of multiplication over addition
subtraction property of equality associative property of addition
division property of equality
Answer:
subtraction property of equality.
Step-by-step explanation:
the change made in the equation is that you subtracted 2 on both sides, which cancels out the 2 on the left and equals the 3 on the right. hope this helps :)
If u are at a store and the original price of a product is $28.95 and the sales tax is %6.5 what is the final price
Answer:
$30.83
Step-by-step explanation:
Before Tax Price: $28.95
Sale Tax: 6.50% or $1.88
After Tax Price: $30.83
Hope this helped :)
Answer:
$30.83
Step-by-step explanation:
HELP ASAP!!! Characterize the slope of the line in the graph. A. Zero B. Undefined C. Positive D. Negative
Answer:
Undefined
Explanation:
When a line is vertical like that, the slope is undefined. If it was horizontal, then it would be zero. Positive slopes go in an upward right direction. Negative slopes go in a downward left direction.
Answer: Undefined
Step-by-step explanation:
A. Zero B. Undefined C. Positive D. Negative
A 30-foot electric line is suspended between the tops of two 20-foot electric poles on ground level. The lowest point of the line is 5 feet above the ground. What is the distance between the two electric poles?
Answer:
The appropriate response will be "Zero (0)". A further explanation is given below.
Step-by-step explanation:
This does not make any logical sense, it seems to be 15 feet from either the peak including its poles to something like the edge of that same wire, therefore half including its 30 would be 15 feet. This always implies that perhaps there is no space seen between points, the poles must've been interacting or overlapping.The response is therefore "0".