Answer:
a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16
equation of sequence: [tex]\boxed{\bold{a_n=7n-12}}[/tex]
Step-by-step explanation:
a₁ + a₂ + a₃ = 6
a₁ + a₁ + d + a₁ + 2d = 6
3a₁ + 3d = 6
a₁ + d= 2 ⇒ a₁ = 2 - d
a₄ = 16
a₁ + 3d = 16
2 - r + 3d = 16
2d = 14
d = 7
a₁ = 2-7 = -5
a₁ = -5, d = 7 ⇒ a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16
equation of arithmetic sequence:
[tex]a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}[/tex]
BRAINLIEST ANSWER!! please help
Answer:
k=45
Step-by-step explanation:
Since the sum of the measures are 180 and the measures are 45 degrees, k degrees, and 2k degrees, we can conclude that [tex]45+2k+k=180[/tex]. 2k and k are like terms, so you can add 2k and k to get 3k.Then, you would have [tex]45+3k=180[/tex]. Since you are finding k, you want to isolate k as best you can. To do this, you subtract 45 on both sides [tex]45-45+3k=180 -45 \\3k=135[/tex] as shown by the equation, 180-45 is 135. Then, you divide 3 on both sides to get k=45.
Bob and his fish friends have been noticing these weird silver things hanging out the in the water lately. They have also noticed that some of their friends seem to be disappearing. Bob wonders if the two are related. Their school of fish started with 450 fish in it but now they only have 360 fish in their school. By what percentage was the population of their school of fish reduced?
Answer:
450
Step-by-step explanation:
subtract
Answer:
I am pretty sure 25%
Step-by-step explanation:
I had this question before
find the slope
!! help pls
Answer: 3
Step-by-step explanation:
Answer:
Rise 3
Run 1
Step-by-step explanation:
I NEED HELP ASAPPPP mŁABC = 117° → Find
mZCBD
D
C
Answer:
117-40=77
Step-by-step explanation:
Subtract 40 from 117 to get the answer
A ratio is a comparison of ____ numbers or measurements
Answer:
the answer is: "a ratio is a comparison of two numbers or measurements
A boat travels upstream on the Mississippi river for 3.5 hours. The return trip only takes 2.5 hours because the boat travels 2 miles per hour faster downstream due to the current. How far does the boat travel upstream? Which is the best equation to use?
Answer:
17.5 miles per hour
Step-by-step explanation:
A boat travels upstream on a Mississippi river for 3.5 hours
The return trip takes 2.5 hours
The boat travels 2 miles per hour faster downstream
Let y represent the speed that was travelled upsteam
3.5y = 2.5(y + 2)
3.5y = 2.5y + 5
3.5y - 2.5y = 5
y = 5
Therefore the distance travelled by the boat upstream can be calculated as follows
= 3.5 × 5
= 17.5 miles per hour
Solve for y: y/3=h.
Answer:
y= 3h
Step-by-step explanation:
make y the subject of the formular
The weight of a blue whale
Answer:
About 110,000 – 330,000 lbs.
Step-by-step explanation:
Your Welcome :)
Answer:
110,000 – 330,000 lbs
Step-by-step explanation:
I GOT CHU
Write the inverse function,
f^-1 (x), for the function
f (x) = 1/3x-4
[tex]f(x) = \frac{1}{3}x - 4 \\ [/tex]
[tex]y = \frac{1}{3}x - 4 \\ [/tex]
Subtract the sides of the equation plus 4
[tex]y + 4 = \frac{1}{3}x \\ [/tex]
Multiply the sides of the equation by 3
[tex]3(y + 4) = x[/tex]
[tex]3y + 12 = x[/tex]
So ;
[tex] {f}^{ - 1}(x) = 3x + 12 [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
What is the best estimate for ?
5.75
6.25
7.5
8.1
Answer:
The answer is 6.25
Step-by-step explanation:
Root 38 is exactly 6.16441400297. That number estimated would be 6.20 since 6.16 is close to 6.20. The closest number to 6.20 is 6.25.
Determine if JK and LM are parallel, perpendicular, or neither: J(13,-5), K(2,6), L(-1,-5), M(-4,-2)
Answer:
Parallel
Step-by-step explanation:
mjk=-1
mlm=-1
Is 1.43 grater than, less than, or equal to 1.043?
1.43 1.043?
1.43=1.043?
Please help!
Answer:
greater than
Step-by-step explanation:
what is 100,572×135,689
Answer:
13,646,514,108
I hope this helps!
HURRY PLEASE ANSWER)))
An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find the number of devices, x, for which the cost of the new plan is less than the cost of the current plan.
Answer:
x<18
Step-by-step explanation:
Multiple Choice
Find each quotient.
one fourth divided by three eighths
A. one-third
B. two-thirds
C. start fraction 3 over 4 end fraction
D. three-eighths
Answer:
B
Step-by-step explanation:
Translate the problem to number "six times a number minus one is equal to eleven"
Answer:
The answer is 6x-1=11
Use the distributive property to simplify the following expression:
1/3 (9-6n)
Answer:
3 - 2n
Step-by-step explanation:
What is the domain of the function f(x) = 3x + 4 + 1?
all real numbers
O all real numbers less than or equal to -4
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to -4
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Solve the equation.
3/2y - 5 = -2
Answer:
y= 1/2 is the answer.
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
Write an equivalent expression for (3m - 6)(8m2 - 40m - 5).
Answer:
24m3−168m2+225m+30
Step-by-step explanation:
(3m+−6)(8m2+−40m+−5)
=(3m)(8m2)+(3m)(−40m)+(3m)(−5)+(−6)(8m2)+(−6)(−40m)+(−6)(−5)
=24m3−120m2−15m−48m2+240m+30
=24m3−168m2+225m+30
A diver ascended 9/10 of a meter in 1/10 of a minute. What was the diver r
ate of ascent
Rate = distance / time.
Distance= 9/10
Time = 1/10
Rate = 9/10 divided by 1/10 which is 9.
9 meters per second.
540 meters per minute.
Are the two statements equivalent?
The ratio of boys to girls is 3 to 4
The ratio of girls to boys is 4 to 3
[tex]Ihopethishelps[/tex]
Answer:
Yes
Step-by-step explanation:
boys to girls is 3 to 4 or 3:4
girls to boys is 4 to 3 or 4:3
-------------------------------------------------------------------
The genders are mixed up but the ratios are the SAME or EQUIVALENT.
-------------------------------------------------------------------
boys 3
girls 4
[tex]hopefullythishelpsyou[/tex]
[tex]enjoyyourday[/tex]
Bob rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 75 cents for each mile driven. Bob had to pay $159.24
when he returned the truck. For how many miles did he drive the truck?
Answer:
1.87 miles
Step-by-step explanation:
[let's say x = how many miles]
18.99 + 75x = 159.24 [write out the equation]
-18.99 -18.99 [subtraction property of equality]
75x = 140.25
___ ____ [division property of equality]
75 75
x = 1.87
I hope this helps ! :)
find x and measure ABC
pls help I’ve been trying this for 30 minutes.
Geometry
[tex](2x - 9) + (3x - 6) = 110[/tex]
[tex]2x + 3x - 9 - 6 = 110[/tex]
[tex]5x - 15 = 110[/tex]
Plus sides 15
[tex]5x - 15 + 15 = 110 + 15[/tex]
[tex]5x = 125[/tex]
Divided sides by 5
[tex] \frac{5}{5}x = \frac{125}{5} \\ [/tex]
[tex]x = 25[/tex]
Thus ;
A = 2 ( 25 ) - 9°
A = 50° - 9°
A = 41°
_________________________________
B = 3 ( 25 ) - 6
B = 75° - 6°
B = 69°
_________________________________
C + 110° = 180°
because it is a straight line.
Subtract sides 110°
C + 110° - 110° = 180° - 110°
C = 70°
_________________________________
And we're done.....♥️♥️♥️♥️♥️
I need help plz
I am back at my times so could you helpp
3 x 7
9 x 8
12 x 9
Thank you UwU
Answer:
1731996
Step-by-step explanation:
i think thats the answer if not sorry hopefully i helped <3
Answer:
I can help you!
Step-by-step explanation:
3x7 you should add #7 3 times. That would be 21
9x8 you should add #8 9 times. That would be 72
12x9 you should add #9 12 times. That would be 108
Hope it helped
A number b divided by -3 is greater than or
equal to 6.
Answer:
[tex]b/3\geq 6[/tex]
Step-by-step explanation:
Answer:
b[tex]\geq[/tex]-18
Step-by-step explanation:
[tex]\frac{b}{-3}[/tex] [tex]\geq[/tex] 6 Solve this just like there is an equal sign instead of [tex]\geq[/tex]
Multiply both sides by -3 to get b by itself: b[tex]\geq[/tex]-18
Solve for X
Solve for X
Answer:
x=9*
Step-by-step explanation:
48*+(5x-3)*+90*=180* (its is 180* because it is a line)
5x+135*=180* (combine like terms)
-135* -135* (subtract 135*)
5x=45* (divide by 5)
x=9*
dont mind the asterisks they are my degree signs
hope this helps
brainliest?
BRAINLIEST ANSWER!! NEED HELP ASAP!
Answer:
1. 30(8.75) + 11t = 400
2. 12.5 hours
Step-by-step explanation:
1. What is given is you work for 30 hours per week at a gas station for $8.75 an hour. You also work as a landscaper for $11 an hour. You want to a make a total of $400 per week.
30 hours and $8.75 an hour would be equivalent to 30(8.75)
We don’t know how many hours you work as a landscaper but you earn $11 an hour, which is equivalent to 11t
Finally, you want to earn a total of $400 a week, which means the sum equals 400
30(8.75) + 11t = 400
2. 30(8.75) = 262.5
400 - 262.5 = 137.5
137.5 / 11 = 12.5
What is the diameter of this circle? 7.5 in. A. 3.75 in. B. 7.5 in. C. 15 in. D. 22.5
Answer:
B.) 7.5
Step-by-step explanation:
I'm guessing that 7.5 is the radius. If so, the diameter is 15 in. because 7.5 + 7.5 = 15. The radius is half of the diameter.
OMG I need halp and this is 8th grade math can someone help me I would really appreiate it.☺
Answer:
Eliana saves at a greater rate because her unit rate of $42 per week is greater than Lana's unit rate of $40 per week
hope this helps =3
sorry if im wrong
