Answer:
r:
The function is
The remainder when f(x) is divided by x−2 is 23.
To find:The value of k.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get
Put x=2, to find the value of f(2).Therefore, the value of k is 8.
Step-by-step explanation:
A new car is purchased for 15100 dollars. The value of the car depreciates at 12. 25% per year. To the nearest year, how long will it be until the value of the car is 2300 dollars?
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$2300\\ P=\textit{initial amount}\dotfill &\$15100\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years \end{cases} \\\\\\ 2300=15100(1 - 0.1225)^{t}\implies \cfrac{2300}{15100}=(1 - 0.1225)^{t}\implies \cfrac{23}{151}=0.8775^t[/tex]
[tex]\log\left( \cfrac{23}{151} \right)=\log(0.8775^t)\implies \log\left( \cfrac{23}{151} \right)=t\log(0.8775) \\\\\\ \cfrac{~~\log\left( \frac{23}{151} \right)~~}{\log(0.8775)}=t\implies 14.4\approx t\qquad \textit{about 14 years and 146 days}[/tex]
how to multiply and divide decimals with whole numbers
A mother shared $600 amongst her three daughters Ana, Betty and Carol in the ratio of 2:3:5 respectively. How much money did Betty receive?
Ana, Betty and Carol in the ratio of 2:3:5 respectively
mom cut the $600 in (2+3+5) 10 parts
and gave 3 parts to betty
so B got 600 : 10 x 3 = $180
Explain why 10 to the zero power equals 1
Answer:
Because any number to the power of zero will be one.
Franco has $1.95 in his pocket. His mom has three times as much in her pocket. How much money do Franco and his mom have in total?
$1.95
$5.85
$6.80
$7.80
Answer: $5.85
Step-by-step explanation:
Answer:
5.85
Step-by-step explanation:
since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85
What is the solution to the equation?
Choose the student who solved the equation correctly.
12a = 6
Maria's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = 2.
Jessi's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = one-half.
Marcus's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 1.
Trevor's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 2.
9.1k = 63.7
The solution is
.
Answer:
Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2
Step-by-step explanation:
so it's B or jessi work
On a coordinate plane, how are the locations of the points (-5 , -3) and (5 , -3) related? A. Reflection across both axes B. Locations unrelated C. Reflection across the x-axis D. Reflection across the y-axis
Answer:
D. Reflection across the y-axis
Step-by-step explanation:
In the points (-5, -3) and (5, -3), first, notice that the y-coordinates are the same. However, the x-coordinates are positive and negative, meaning one will be on the left side of the y-axis and one will be on the right side of the y-axis, bringing us to answer D. Graph proof is also attached.
what is the x and y intercepts for 2y = 8 - 8x
Brainliest available
Simplify
Answer:
8x^3y^3
Step-by-step explanation:
Thats the answer but the ones with the symbol are up
To simplify this, we must simply power every component within the parentheses by 3
[tex](2xy)^3=2^3*x^3*y^3 = 8x^3y^3[/tex]
Hope that helps!
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 7 hours? Explain your reasoning
Answer:
55.75
Step by step explain:
33.00 divided by 4 equals 8.25
then multiply 8.25 by 7 which equals 55.75
The question is below:
Answer:
D.
Step-by-step explanation:
The original antenna revolves at a rate of 30 per 2 minutes, or 15 per minute.
Twice as fast = 15 X 2 = 30 per minute
Only the data in Table D fits.
660 / 22 = 30
720 / 24 = 30
Please help I'm extremely confused.
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )
Answer:
8.4 is the correct answer on acellus
please slove
10^3⋅10^4/10^5
Answer:
100
Step-by-step explanation:
10^3= 10x10x10= 1000
10^4= 10x10x10x10= 10000
10^5= 10x10x10x10x10= 100000
( the quickest way to sove this is by add 0 behind the one, whatever the exponent is, thats how many zeroes there abre going to be.
ex: 10^3 theres 3 exponents so theres going to be 3 zeroes behind the one
step 2 solve
1000x10000/100000= 100
Answer:
10^2
Step-by-step explanation:
10^3⋅10^4/10^5
add the exponents when multiplying
10^7/10^5
subtract the exponents when dividing
10^2
what is the slope of the line on the graph need answer ASAP please thank you I'm in k-12
help on this please.
hello, please answer the question, please show work
Logarithms
Please do not answer with a link, not only can I not access it (nor would I be comfortable doing so) but the answer will be immediately deleted.
Answer:
[tex]\huge\boxed{\sf -2.280}[/tex]
Step-by-step explanation:
Finding value of log₃(4/49):
[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]
Given that:
log₃4 ≈ 1.262, log₃7 ≈ 1.771
Put the values in the above expression
[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]
4) What % of 60 is 12?
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]
12×60%=
[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]
xLasersx✨Answer:
20%
Step-by-step explanation:
100% = 60
?% = 12
[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]
Therefore, 20% of 60 = 12
Check your answer:
20/100 = 0.2
0.2 * 60 = 12
Hope this helps!
Item 3
Solve for b.
16=a2+b2
b=16−a2
b=4−a
b=±16+a2−−−−−−√
b=±16−a2−−−−−−√
Answer:
I'm taking the test right now so i'll tell you the right answer after I submit my test but for now I think it's C.
can you guys answer this?
An isosceles right triangle has two congruent angles and a right angle
It is true that the base angle of an isosceles right triangle is 45 degrees
How to determine the base angle?From the question, we understand that:
Triangle type = isosceles right triangle
The sum of angles in a triangle is:
x + y + z = 180
Assume the triangle is right-angled at z.
So, we have;
z = 90
The equation becomes
x + y + 90 = 180
Subtract 90 from both sides
x + y = 90
The triangle is an isosceles triangle.
So, we have: x = y
The equation becomes
x + x = 90
2x = 90
Divide by 2
x = 45
Hence, it is true that the base angle of an isosceles right triangle is 45 degrees
Read more about isosceles right triangle at:
https://brainly.com/question/20447308
What does n equal? Please help!
Answer:
x=0
Step-by-step explanation:
because you divide by x^12
x^n=x^0
x=0
5 out of 13 students will ride in a car instead of a van
Answer:
Step-by-step explanation:8
Answer:
the answer is 8 i think xddd
The table shows the masses of eight polar bears.
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The outlier is 62. As a result, the median and the mean would be smaller. The mode would not be affected by the outlier.
To learn more about outliers, please check: https://brainly.com/question/26958242
Is (-4, -1) a solution to this system of equations?
y = 5/2x + 9
y = 1/2x + 1
Yes or no
Answer:
yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)
Step-by-step explanation:
Question 1-3
The graph below shows a function that represents the weekly earnings, in dollars, for a company that makes x sets of headphones per week.
7,0001
6,000
5,000
4,000
Earnings (5)
3,000
2,000
1,000
0 1,000 2,000 3,000 4,000 5,000 6,000
Number of Headphones Made per Week
Based on this model, which statements are true? Choose ALL that are correct.
When producing 5,000 sets of headphones per week, the weekly earnings is $0.
If production is increased from 3,000 to 4,000 sets of headphones per week, then the weekly earnings will also increa
Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.
The maximum possible earnings is about $6,250 per week.
If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increa
The production graph of the company is a quadratic graph
The true statements about the production graph are:
When producing 5,000 sets of headphones per week, the weekly earnings is $0.Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.The maximum possible earnings is about $6,250 per week.If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increaseHow to interpret the model?To interpret the model, we simply evaluate the options one after the other
Producing 5000 sets weekly
From the graph, we have:
(x,y) = (5000,0)
This means that a weekly production of 5,000 sets of headphones give an earning of $0.
Hence, this option is true
Increased production from 3000 to 4000
From the graph, the function value decreases when x increases from 3000 to 4000.
This means that this option is false
Producing 2500 sets
The production of 2500 sets give a maximum earning of $6250
This means that options (c) and (d) are true
Increased production from 1500 to 2000
From the graph, the function value increases when x increases from 1500 to 2000.
This means that this option is true
Hence, the true statements are: (a), (c), (d) and (e)
Read more about quadratic graphs at:
https://brainly.com/question/7988424
My party started at 1:30 p.m.
It lasted 2 hours, 45 minutes.
What time did the party end?
Answer:
4:15
Step-by-step explanation:
add 2 hours that is 3:30
3:30 +30=4:00
and there oly 15 min left so
its 4:15
Find the sixth term of the geometric sequence when a4=−8 and r=0.5
A. 4
B. 2
C. -4
D. -2
Answer:
D
Step-by-step explanation:
to find a term in the sequence multiply the previous term by r , then
a₄ = - 8 , so
a₅ = - 8 × 0.5 = - 4
a₆ = - 4 × 0.5 = - 2
The sixth term of the sequence will be negative 2. Then the correct option is D.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The fourth term (a₄) is negative 8 and the common ratio is 0.5.
Then the sixth term will be
For n = 5, we have
a₅ = a₁ · (r)⁵⁻¹
a₅ = a₁ · (r)⁴
a₅ = a₁ · r³ · r
a₅ = a₄ · r
a₅ = -8 · 0.5
a₅ = -4
Then the sixth term of the sequence will be
a₆ = a₁ · (r)⁶⁻¹
a₆ = a₁ · (r)⁵
a₆ = a₁ · r⁴ · r
a₆ = a₅ · r
a₆ = -4 · 0.5
a₆ = -2
The sixth term of the sequence will be negative 2.
Then the correct option is D.
More about the geometric sequence link is given below.
https://brainly.com/question/11266123
#SPJ2
Entre los números -4 y 0 cuál es menor
Answer:
el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D
A circle is to be drawn with radius 3.5 inches. the radius is measured as 3.6 instead, what error does this cause in the area of the circle?(leave your answer in terms of pi )
Answer:
[tex]0.71\pi\: in^2[/tex]
Step-by-step explanation:
[tex]r_1= 3.5\: in[/tex]
[tex]r_2= 3.6\: in[/tex]
[tex]A_1=\pi r_1^2=\pi(3.5)^2= 12.25\pi \:in^2[/tex]
[tex]A_2=\pi r_2^2=\pi(3.6)^2= 12.96\pi \:in^2[/tex]
[tex]Difference\: in \:area =A_2-A_1=0.71\pi\:in^2[/tex]
[tex]\implies Error \:in\: the \:area \:of\: the \:circle = 0.71\pi\: in^2[/tex]
can you please help me?
Answer:
24.00
Step-by-step explanation:
8 times tables