A candle is 6 tall after burning for one hour. After 3 h, it is 5. 5 tall. Write a linear equation to model the hh () of the candle after burning () h.
Answer:
h(t) = -0.25t + 6.25
Step-by-step explanation:
Given that :
Height of candle after burning for 1 hour = 6
Height of candle after burning for 3 hours = 5.5
The linear model to show the height ight of candle after burning for h hours :
The height change per hour of burn ; this is the slope ;
Change in height / Change in time ;
Time = 1 hour ; height = 6
Time = 3 hours ; height = 5.5
Slope = (5.5 - 6) / (3 - 1) = - 0.5 / 2 = - 0.25
This means candle height decreases ; - 0.25 ft per hour :
Based on the linear, slope, intercept equation ;
y = mx + c
Candle height, h
h(t) = mt + c
c = intercept, we can obtain this thus ;
Using the height at 1 hour and slope;
After an hour burn :
6 = - 0.25t + c
t = 1
6 = - 0.25(1) + c
6 = - 0.25+c
6+0.25 =, c
c = 6.25
Hence ; to calculate height, h after burn time &
h(t) = -0.25t + 6.25
which sum or difference is modeled by the algebraic tiles?
Answer:
C
Step-by-step explanation:
cari nilai k dengan keaadaan h^2(2k/5)=32
Answer:
[tex] {h}^{2} ( \frac{2k}{5} ) = 32 \\ 2k. {h}^{2} = 160 \\ k {h}^{2} = 80[/tex]
[tex]k=\frac{80}{h²}[/tex]
Which polynomial is a monomial?
O A. 2p-P
O B. 6 - 2x2 - 4x2 +45
O c. 5r283A
O D. 1 - 2x + 5x
Answer:
Which polynomial is a monomial?
O A. 2p-P
O B. 6 - 2x2 - 4x2 +45
O c. 5r283A
O D. 1 - 2x + 5x
. 5r283A
pls help me i'll give brainliest
Answer:
Step-by-step explanation:
Identify the word form of this number: 316,758
Answer:
it is Three hundred and sixteen thousand,seven hundred and fifty eight.
Hey there!
316,758
3 is in the HUNDRED THOUSANDS place
1 is in the TEN THOUSANDS place
6 is in the THOUSANDS place
7 is in the HUNDREDS place
5 is in the TENS place
8 is in the ONES place
Expanded form
300,000 + 10,000 + 6,000 + 700 + 50 + 8
Answer:
Three hundred sixteen thousand seven hundred fifty-eight
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Let F(x) = 2x2 + x - 3 and g(x) = x - 1. f(x) g(x)
Find and state its domain.
Answers:
1) X - 1; domain is the set of all real numbers
2) (x-1)/(2x + 3) ; domain is the set of all real numbers except-(3/2)
3) 2x + 3; domain is the set of all real numbers except 1
Applying the division of functions f(x) and g(x), it is found that the quotient and the domain are given, respectively, by:
3) 2x + 3; domain is the set of all real numbers except 1.
What is the domain of a function?It is the set that contains all possible input values.
In this problem, the functions are given as follows:
f(x) = 2x² + x - 3.g(x) = x - 1.Hence the division is given by:
[tex]\frac{f(x)}{g(x)} = \frac{2x^2 + x - 3}{x - 1}[/tex]
The denominator cannot be zero, hence the domain is [tex]x \neq 1[/tex].
Considering that 2x² + x - 3 = (2x + 3)(x - 1), the function can be simplified as 2x + 3, hence option 3 is correct.
More can be learned about the domain of a function at https://brainly.com/question/10891721
#SPJ1
.Divide the sum of 13/5 and -12/7 by the product of -31/7 and -(1/2)
Answer:
hello u so cool i admire you <3
The graph below shows four sections: A, B, C, and D.
Which section of the graph represents the solution set of the system of inequalities below?
will the towns tax status change within the next 3 years ?
The yearbook staff ordered 8 boxes in the first order. They end up with a total of 168 yearbooks after both orders.
Answer:
8/168=21
Step-by-step explanation:
YALLLL SOMEONE HELP A GIRL OUTTTT (ALSO NO LINKS I KNOW UR TRYING TO SCAM LOL)
Answer:
[tex]f(x) = {x}^{2} + 4x - 1 \\ f( - 1) = {( - 1)}^{2} + 4( - 1) - 1 \\ = - 4 \\ { \boxed{f( - 1) = - 4}} \\ \\ f(1) = {(1)}^{2} + 4(1) - 1 \\ = 4 \\ { \boxed{f(1) = 4}}[/tex]
Which of the following choices will simplify 5-3.2?
A. 4
B. -1
C. -4
D. None of these choices are correct.
Answer:
Step-by-step explanation:
Which place value should you use to compare the numbers?
645,853
646,34
How many vertices does this three-dimensional shape have?
Answer:
6
Step-by-step explanation:
I may be wrong.
If I am, delete this answer.
If it's right, please mark it as the Brainliest. I would really appreciate it.
The total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.
What is Geometry?Geometry is one of the earliest areas of mathematics, along with algebra. It is concerned with spatial qualities such as figure proximity, form, size, and relative location. A geometer is a mathematics who works in the discipline of geometry.
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
In the given diagram, the upper part of the triangular pyramid has 3 corners and the lower part of the triangular pyramid has 3 corners.
Then the total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays a sport given that they play an instrument?
8 students out of 27
the total of students is 27 out of the 27 students 19 dont play and instrument and a sport
what is the answer to this please
Answer:
easy it is B trust me
Step-by-step explanation:
the required time is 3 years.
mple 7: Find the compound interest of Rs 50,000 for 3 years if the rates of interest for
three years are 4 %, 5 % and 6 % p.a, respectively,
Answer:
Step-by-step explanation:
For 4%A = $56,363.59
A = P + I where
P (principal) = $50,000.00
I (interest) = $6,363.59
calculation stepFirst, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 50,000.00(1 + 0.04/12)(12)(3)
A = 50,000.00(1 + 0.003333333)(36)
A = $56,363.59
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $50,000.00 at a rate of 4% per year compounded 12 times per year over 3 years is $56,363.59.
for 5 %
A = $58,073.61
A = P + I where
P (principal) = $50,000.00
I (interest) = $8,073.61
calculation stepFirst, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 50,000.00(1 + 0.05/12)(12)(3)
A = 50,000.00(1 + 0.004166667)(36)
A = $58,073.61
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $50,000.00 at a rate of 5% per year compounded 12 times per year over 3 years is $58,073.61.
For 6 %A = $59,834.03
A = P + I where
P (principal) = $50,000.00
I (interest) = $9,834.03
calculation stepFirst, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 50,000.00(1 + 0.06/12)(12)(3)
A = 50,000.00(1 + 0.005)(36)
A = $59,834.03
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $50,000.00 at a rate of 6% per year compounded 12 times per year over 3 years is $59,834.03.
(3.21 × 103)(1.13 × 105)
Answer:
39229.25
Step-by-step explanation:
Answer:
39229.25
Step-by-step explanation:
Calculator
Simplify -62 ÷ 12 - 2(-7).
Answer:
53/6 = 8.83
Step-by-step explanation:
2 x -7 = -14
-62 / 12 = -5.16667
-5.16667 - (-14) = 8.83333
Final answer: 8.83
I hope this helps you! :D
Answer:
use pamdas
Step-by-step explanation:
the answer I got using pemdas was 8.83
9x4 + 24x3 - 27x2 + 12x
Answer:
3x(3x³ + 8x² – 9x + 4)
Step-by-step explanation:
9x4 + 24x3 - 27x2 + 12x =
9x⁴ + 24x³ – 27x² + 12x =
3(3x⁴ + 24x³ – 27x² + 12x) =
3x(3x³ + 24x² – 27x + 12).
3x³ + 24x² – 27x + 12 cannot be factored
[rational numbers].
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices"?
three
vertices
triangle
triangle
three
vertices
Figure A
Figure B
A. Figure A
B. Figure B
SUBMIT
HELP PLZ
Answer:
I think it's A, because all triangles have 3 vertices.
Step-by-step explanation:
Find the equation of the line that is parallel to the line
y= -2x - 8 and passes through the point (7,0). Write the
equation in slope-intercept form.
Answer the question.
Answer:
$19.53
Step-by-step explanation:
$20 - 0.1(20) = 20 - 2 = 18
18 + 0.085(18) = 18 + 1.53 = 19.53
Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.
Answer:
Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.
Step-by-step explanation:
Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.
The domain of this function is (-12, -6, 3, 15).
y =-2/3x +7
Complete the table based on the given domain.
(Table in Picture)
(PLEASE HELPP)))
Answer:
Step-by-step explanation:
1) y = -2/3* -6 + 7 =
y= 11
2) 5 = -2/3 x + 7
-2/3 x = -2
x = 3
3) y = -2/3 * 15 + 7
y = -3
4) 15 = -2/3x + 7
2/3x = -8
x = -12
44 : 20 is equivalent to __ : 5
20 : 15 is equivalent to 4 : __
5 : 2 is equivalent to __ : 8
On a biased dice the probability of getting a 6 is 4/5 the dice is rolled 500 times how many sixes would you expect to roll
Answer:
400 sixes
Step-by-step explanation:
Find how many sixes you could expect to roll by multiplying 500 by 4/5:
500(4/5)
= 400
So, you would expect to roll 400 sixes
t = 4k + 9
k = 2
Work out the value of t.
A)17
B)18
C)25
(Working not needed)
PLZ HURRY will give BRAIN-LY-EST and 20 points if correct
Answer:
[tex]{ \boxed{ \tt{4x + 4x \: → \: 8x}}} \\ \\ { \boxed{ \tt{3x + 5x + 8 \:→ \: 8x + 8 }}} \\ \\ { \boxed{ \tt{ - 7x + 4 + 3x \: → \: - 4x + 4}}} \\ \\ { \boxed{ \tt{4x + 4x + 4x + 4x \: → \: 16x}}}[/tex]
Answer:
4x + 4x → 8x
3x + 5x + 8 → 8x + 8
-7x + 4 + 3x → -4x + 4
4x + 4x + 4x + 4x → 16x
Step-by-step explanation:
The left side consists of a series of expressions and the right side is the list of choices to match to. This is simple math if you already know how to combine like terms. Combining like terms is combining numbers that represent the same value. Take a look at 4x + 4x for example, 4x and 4x are two numbers with the same value. Not that they both have the number 4, but that they have the same special variable. If there are two or more numbers with the same variable like x for example, combine the two, meaning you add the numbers. Just don't add the variables because clearly, the variable is an unknown number so you can't add variables. Instead, you can apply the same variable to the sum of two or more numbers. So 4x + 4x equals 8x. Do the same process again to the other 3 expressions. Also, you can't add a number with a variable to a number alone. They don't represent the same value.
3x and 5x are the same value so combine them. Now you only have 8x + 8 left as the simplified version of the expression.
-7x and 3x are the same value so combine them. Don't forget that the 7 is negative. Use a calculator if needed. Now you only have -4x + 4 as the simplified version of the expression.
Similar to 4x + 4x in the first expression, just add all of the numbers up. There isn't a number alone in this expression. 16x should be your final answer.
I hope this helps! Let me know if I am wrong. :D