Answer:
C. y=-3
Step-by-step explanation:
5y-10=-25
5y=-25+10
5y=-15
y=-15/5
y=-3
A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term
Given:
[tex]f(1)=3,f(n)=2\times f(n-1)[/tex] ...(i)
For [tex]n\geq 2[/tex].
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
[tex]f(n)=r\times f(n-1)[/tex] ...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
[tex]r=2[/tex]
Now,
First term: [tex]a=f(1)=3[/tex]
Common difference: [tex]r=2[/tex]
nth term of a GP is
[tex]f(n)=ar^{n-1}[/tex]
Putting a=3 and r=2, we get
[tex]f(n)=3(2)^{n-1}[/tex]
Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].
QUESTION ONE:
Solve for h.
Answer:
h = - 105
Step-by-step explanation:
Given
[tex]\frac{h}{14}[/tex] = - 7.5 ( multiply both sides by 14 to clear the fraction )
h = - 105
Answer:1.86
Step-by-step explanation:
Randall collects postcards that his friends
send him when they travel. He can put
6 cards on one scrapbook page. How
many pages does Randall need to fit
42 postcards? (SHOW YOUR WORK/STEPS)
Answer:
7pages
Step-by-step explanation:
42÷6= 7
You are dividing how many postcards you have with how many you can fit on one page. If you divide them, you will get your answer.
Randall needs 7 pages to fit 42 postcards.
will give brinley crown thing! show your work and explain...
- 109 + 9x = 86 - 4x
Answer: x=15
Step-by-step explanation: it’s all in the picture hope this helps!
Answer: x= 15
Step-by-step explanation:-109+9x=86-4x
⇒13x-195=0
⇒13x=195
⇒x=
195
13
⇒x=15
SIMPLE CORDINATES. BRAINLIEST, 5 STAR, AND A LIKE IN RETURN. SHOW SOME WORK PLEASE THIS IS DUE SOON.
Answer:
D they both are correct, because it is reflected equally from both coordinates.
Step-by-step explanation:
Expand and simplify
(4 + 2)(6-12)
Give your answer in the form b+cV2
Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].
Given:
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
To find:
The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].
Solution:
We have,
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
Using distributive property, we get
[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]
[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]
[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]
On combining like terms, we get
[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]
[tex]=22+2\sqrt{2}[/tex]
On comparing with [tex]b+c\sqrt{2}[/tex], we get
[tex]a=22,b=2[/tex]
Therefore, the required form is [tex]22+2\sqrt{2}[/tex].
Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted
How many mammals were there when they were originally counted?
Enter your answer in the box
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The y-intercept.is 75.
The asymptote indicates that the number of mammals counted when the study began was 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Step-by-step explanation:
im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.
Answer:
$546
Step-by-step explanation:
726 is 1/3. 3/3 is 2178. - 1632= 546.
is there anybody taking the algebra test in texas i would really appreciate the answeres
Answer:
which one, i just took a test, and im from texas
Step-by-step explanation:
So if a video that is 15:34 how long is it when 2 times speed
tip: times 15 min. buy 60 then divdie all of the sec. by 2
Answer:
7:47
Step-by-step explanation:
Here are two ways of solving this:
The video will be half the time of 15:34, so you need to divide the time 15:34 by 2.
Method 1)
Use the tip. The video is 15 minutes and 34 seconds long.
Convert minutes to seconds: 15 * 60 = 900
Add 34 seconds to the 15 minutes: 900 seconds + 34 seconds = 934 seconds
The video is 934 seconds long.
Divide the total seconds by 2: 934/2 = 467
467 seconds = 420 seconds + 47 seconds = 7 minutes and 47 seconds
Answer: 7:47
Method 2)
Divide the minutes by 2 and divide the seconds by 2.
15 minutes and 34 seconds.
Divide minutes by 2: 15/2 = 7.5
Divide seconds by 2: 34/2 = 17
Now we need to add 7.5 minutes and 34 seconds.
0.5 minutes is half a minute, so it's 30 seconds.
7.5 minutes + 17 seconds =
= 7 minutes + 0.5 minute + 17 seconds
= 7 minutes + 30 seconds + 17 seconds
= 7 minutes + 47 seconds
= 7:47
Answer: 7:47
What is m∠ABC?
A. m∠ABC = 60°
B. m∠ABC = 67°
C. m∠ABC = 120°
D. m∠ABC = 127°
Brainlist for the correct answer
Answer:
The answer is D I'm not sure
Answer:
127 degrees
Step-by-step explanation:
When you add up all three angles of a triangle, the sum will always be 180 degrees. Just add up the two known angles and that will equal Angle ABC because a straight line also equals 180 degrees
Which orchard would be cheaper to visit if the class has 12 students?
Orchard A) admission costs $9 per person and 3 chaperones are required.
Orchard B) the cost is $10 per person, but only 1 chaperone is required.
Answer: orchard B
Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.
(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.
ASAP SOMENW HELP ME PLS
Answer:
4.2
Step-by-step explanation:
Ok the points are (-1, 2) and (1, -2)
Put it in the formula
d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]
√18 = 4.2426 ≈ 4.2
Hope this helps ya!!
Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simplify an expression for the total number of coins nancy and bill have
Answer:
Total number of coins Nancy and bill have = 6x - 5
Step-by-step explanation:
Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .
Let
Number of Nancy's coins = x
Number of Bill's coins = 5x - 5
Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins
= x + (5x - 5)
= x + 5x - 5
= 6x - 5
Total number of coins Nancy and bill have = 6x - 5
help plz ...............
Answer:
1.869 more miles
Step-by-step explanation:
the formula is
[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]
Answer:
1. 869 miles farther
Step-by-step explanation:
4.89-3.021= 1.869miles
Therefore, Jake went 1.869 miles farther than Tom did.
NEED HELP ASAP, WILL GIVE BRAINLIEST
Which rectangular equation represents the parametric equations x = 2sec(t) + 1 and y = 6tan(t)?
Answer:
A.)
Step-by-step explanation:
literally guessed but was right lol
Option first is correct.
What is rectangular equation?A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on regular cartesian plane.
According to the given question
We have
x = 2sec(t) + 1 and y = 6tan(t)
Now the above expressions can be written as :
x -1 = 2sec(t)
⇒ [tex]sec(t)\frac{x-1}{2}[/tex]
similarly,
[tex]\frac{y}{6} = tan(t)[/tex]
From trigonometric identities we know that
[tex]1 + tan^{2} \ t = sec^{2} \ t[/tex]
Substitute the value of tant and sect in the above identity
[tex]1 + (\frac{y}{6} )^{2} =(\frac{x-1}{2}) ^{2}[/tex]
⇒[tex]\frac{(x-1)^{2} }{4} -\frac{y^{2} }{36} =1[/tex], this is the required rectangular equation.
Hence, option first is correct.
Learn more about rectangular equation here:
https://brainly.com/question/12718642
#SPJ2
matching math game help!
Answer:
dude your math period is way too long
Answer:
dude your math period is way too long
In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 357 grams of copper. How many grams of zinc does it contain?
Answer:84
Step-by-step explanation:
(PLEASE HELP ME ASAP
a) The length of a rectangle is 3 m longer than its width and the area of the rectangle is 108 m². Find its length.
Help! I get 10 points
Answer:
Expression 1= 5
Expression 2 = 1 - 16
Step-by-step explanation:
Mrs. Ford spent $300 to buy some premium tea leaves. If
the price of the tea leaves had been reduced by $50 per kg,
she could have bought 0.5 kg more. Find the original price
per kg of the tea leaves.
Answer:
$70
Step-by-step explanation:
Answer:
The answer is $70
Step-by-step explanation:
PLA ANSWER I DONT KNOW THIS
Answer:
x=45
Step-by-step explanation:
I can give you two solutions
First solution:
In [tex]\triangle FBA[/tex] we know that
[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]
same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]
so we have that
[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]
we leave it like that because it's convenient
Now by properties of parallelograms we know that opposite sides add up to 180
[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]
so one angle is 45 and the other one is 135
Solution 2
if we look at DEBF we can say that it's a cyclic quadrilateral
because opposite sides add up to 180
in our case
[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]
so for the other to angles is also true
[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]
so that's the measure of one angle of the parallelogram
the other angle x is
[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]
There you go choose yourself
Charlie runs each lap in 6 minutes. He will run at most 42 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answer:
n<=7 (less than or equal to)
Step-by-step explanation:
42/6=7, so 7 is the max number of laps he will run.
factor completely please
Answer:
it the third one
Answer:
(c-5)(3+4c)
Step-by-step explanation:
3c-15+4c^2-20c
4c^2-17c-15
Berry Method
4*(-15)=-60
What two numbers multiply by each other to get -60 but add up to -17
-20 and 3
[tex]\frac{(4c+3)(4c-20)}{4}[/tex]
(4c+3)(c-5)
a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars
Answer:
68.75%
Step-by-step explanation:
First you do 54 - 32 to get 22.
Then you divide 22 by 32 to get the decimal 0.6875
Finally, you multiply 0.6875 by 100 to get 68.75% :D
Answer:
68.73% more cars were sold
Step-by-step explanation:
from 32 cars that represented 100% went to 54 so is a diference of 54-32=22
Now what percentage of 32 is 22?
32 is 100%
22 is x%
x=(22*100)/32=2200/32=68.73%
Find the midpoint. Help pleaseeee
Answer:
0.5
Step-by-step explanation:
Co-ordinate of the mid point of the segment whose co-ordinates are -6 & 7 is =
[tex] \frac{7 + ( - 6)}{2} = \frac{1}{2} = 0.5[/tex]
What is the constant variation of 2x+y=-4?
Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
What is the constant variation of Y 1 2x?
The constant of variation, k , is 12 .
Step-by-step explanation:
yeet yeet yeet
The sum of interior angles of a regular polygon is 1080.Find the size of each exterior angle
Answer:
45
Step-by-step explanation:
Calculation to Find the size of each exterior angle
First step is to calculate the sum of interior angles of a polygon using this formula
Sum of interior angles of a polygon =S=(n-2)*180
Let plug in the formula
Sum of interior angles of a polygon=1080=(n-2)*180
Cross multiply
1080/180=n-2
6=n-2
Add 2 to both sides
6+2=n-2+2
n=8
Now let Find the size of each exterior angle using this formula
Size of each exterior angle=360/n
Where,
n represent numbers of sides of the polygon
Let plug in the formula
Size of each exterior angle=360/8
Size of each exterior angle=45
Therefore the size of each exterior angle will be 45
Answer:
45
Step-by-step explanation:
2x+4x -17y
I need the answer please
Answer:
6x-17y
Step-by-step explanation:
2x+4x-17y
6x-17y
A snake dives towards deeper water at a rate of 18 inches per second. If the snake continues at this rate for a total of 9 seconds, which expression represents this situation?