The first term in our arithmetic sequence = 13
The common difference of our arithmetic sequence = 17 - 13 = 4
The formula for finding an equation for any arithmetic sequence is a(n) = A + B(n - 1)
A = the first term
B = the common difference.
Let's plug our numbers in.
a(n) = 13 + 4(n - 1)
Let's check to make sure we're correct.
a(1) = 13 + 4(1 - 1) = 13 + 4(0) = 13 + 0 = 13
a(2) = 13 + 4(2 - 1) = 13 + 4(1) = 13 + 4 = 17
That verifies that our formula is correct.
In conclusion,
a(n) = 13 + 4(n - 1)
Which set of angle measures could be the interior angles of a triangle? A. 15°, 48°, 27° B. 56°, 45°, 46° C. 42°, 84°, 64° D. 93°, 29°, 58°
Answer:
D. 93°, 29°, 58°
Step-by-step explanation:
In a triangle we can only have 3 Interior angles.
The sum of the Interior angles in a triangle = 180°
Adding up the given Interior angles in the above question:
A. 15°, 48°, 27°
= 15° + 48° + 27°
= 90°
90° ≠ 180°
Option A is wrong
B. 56°, 45°, 46°
= 56 ° + 45° + 46°
= 147°
147° ≠ 180°
Option B is wrong
C. 42°, 84°, 64°
= 42° + 84° + 64°
= 190°
= 190° ≠ 180°
Option C is wrong.
D. 93°, 29°, 58°
93° + 29° + 58°
= 180°
180° = 180°
Option D is the correct Option.
Therefore, the set of angle measures that could be the interior angles of a triangle is Option D. 93°, 29°, 58°
Divide.
-6 7/8 divide by (-3 3/4)
Enter your answer as a mixed number, in simplified form, in the box.
Basic
3.a.Sketch a line through the point
(-2,5) such that as an x-value
increases by 3. the y-value
decreases by 2.
y
o
Answer:
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Since x-value increases by 3,
Δx = 3
And y-value decreases by 2,
Δy = -2
Therefore, slope = [tex]\frac{\triangle y}{\triangle x}[/tex]
Slope = [tex]-\frac{2}{3}[/tex]
Equation of the line passing through (-2, 5) and slope = [tex]-\frac{2}{3}[/tex] will be,
y - 5 = [tex]-\frac{2}{3}(x+2)[/tex]
y = [tex]-\frac{2}{3}x-\frac{4}{3}+5[/tex]
y = [tex]-\frac{2}{3}x+\frac{11}{3}[/tex]
y = [tex]\frac{1}{3}(-2x+11)[/tex]
Table for input-output values will be,
x -2 0 1 2 3
y 5 3.7 3 2.3 1.7
We can plot these points to get the line on a graph.
One glass of milk gives you 3/10 of the recommended amount of calcium per day.
3 glasses of milk will give you what fraction of the recommended amount of calcium per day?
O A. 3/5
OB. 1/10
O C. 19/30
• D. 9/10
Answer:
The answer is D. 9/10
Step-by-step explanation:
The reason why is because the numerator 3 multiplied by 3 gives you 9 and the denominator doesn't change, so the answer is 9/10.
1) g(x) = 2x +3
what is slope
Answer: m=2
Use the slope-intercept form
y=mx+b to find the slope m
Step-by-step explanation:
Use the slope-intercept form
y=mx+b to find the slope m
Translate the following into a verbal expression:
X2 - 5
which is the correct answer?? I have 5 mins left to finish this pls help
Answer:
25.3
Step-by-step explanation:
I just put it in my calculator.
Order the numbers from least to greatest.
7,-3, 5, -0.8, 0.8, 10.-2
PLEASE HELP I WILL MARK YOU BRAINLIEST.
Gabriel brought a 24 pack of Dr.pepper.He spent a total of $7.92 on a soda after tax was included. He paid $0.96 in tax. How much did each individual can of soda cost in the 24 pack before the tax was included?
Answer:
0.29 per soda before tax
Step-by-step explanation:
subtract the tax then divide by the number of cans of soda, thats how i got my answer! hope this helps!
If the top of Mt. Everest is 29,035 ft and Death Valley in California at it's lowest point is negative 282 ft. What is the difference between the top of Everest and the bottom of the Valley?
Answer: 29317
Step-by-step explanation:
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob's cost for his truck was $112.96 for 138 miles. Carl's cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary. y = 71 x minus 29.82 y = 25 x minus 66 y = 0.42 x + 71 y = 0.42 x + 55
Answer:
D. y = 0.42x + 55
Step-by-step explanation:
Let the equation for the cost of the truck be represented by y = mx + b,
where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.
We are given that,
Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and
Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.
This gives us the equations,
142.78 = 209m + b
112.96 = 138m + b
Subtracting these equations, we get,
29.82 = 71m
i.e. m = 0.42
Substituting the value of ' m ' in first equation, we get,
142.78 = 209 × 0.42 + b
i.e. 142.78 = 87.78 + b
i.e. b = 55.
Hence, the equation for the cost of the truck is y = 0.42x + 55
Answer:
d.y = 0.42 x + 55
Step-by-step explanation:
the products of 0.42 with 0.2 can be written in fraction?
Yes or no and whats the right fraction i keep get it wrong
Answer:
yes ... 42/100 × 2/10= 21/250
HELP MEEE PLEASE I NEED HELPP EKKK
this is answer for number 4
3.5x + 5.5x + 6 = 51
9x = 51 -6 = 45
x =45/9
x = 5 people
answer for number 5 (i assume x is the number)
5x -18 -4x = -36
x = -36 + 18
x = -18
Please help due tonight very urgent being graded need help please Tom makes $25 an hour working at the local video game store. Over the past year he has saved $150 toward a new iPhone. If the iPhone cost $300, how many hours will he need to work to be able to buy the iPhone? make an equation or inequality and solve. Show your work
Hey there! I'm happy to help!
Tom has 150 already saved and for every hour he works, he will gain an extra $25. After h hours, he will have $300,
So, we multiply 25 by n, because for every hour he will have 25 added to his total, and repeated addition is multiplication, so we multiply 25 by n.
We add 150 as that is what we already have saved.
Finally, we want this to equal 300.
So, here is our equation.
25n+150=300
Now we solve. We subtract 150 from both sides.
25n=150
We divide both sides by 25.
n=6
Tom will have to work six hours to buy the iPhone.
Have a wonderful day! :D
Answer:
25(6)+150=300
Step-by-step explanation:
25x+150=300
25x=300-150
25x/25=150/25
x=6
I need help
[tex] - 3n + 7 + 2n - 8[/tex]
this is due today
Can Someone Answer If These Two Are True Or False? … Please
first question is false I think and the second one is true I think
Step-by-step explanation:
I'm not that good at math but I'm just trying to help
draw a graph for x= - 4
Answer:
basically it's a vertical line on -4
plz can some answer it will be appreciated
Answer:
22 cm
Step-by-step explanation:
A hexagon has six sides. Since it is a regular hexagon, all of the sides have equal length, so we can multiply the length of one side, 3.6 by 6 to get the perimeter. 3.6 x 6 = 21.6. To the nearest centimeter, the upper bound is 22.
FOLLOW MY TIKT0K booonkbm PLEASE THANKS AND SHARE MY VIDIOS
Find the midpoint of the line segment with the given endpoints. (-3.1, -2.8) and (-4.92, -3.3)
Answer:
Step-by-step explanation:
(-3.1 - 4.92)/2 = -8.02/2 = -4.01
(-2.8 - 3.3)/2 = -6.1/2= -3.05
(-4.01. -3.05) the midpoint
segments that have the same measure are called blank segments
Answer:
Yes
Step-by-step explanation:
Answer:
collinear segments
Step-by-step explanation:
Mark bought 18 pounds of apples for $6. Use the ratio table to find the cost of 3 pounds of apples.
Answer:
$1
Step-by-step explanation:
To set this ratio up, you would put $6 over 18lbs is equal to x over 3lbs.
Next, multiply $6 and 3lbs to give you 18.
Finally, divide 18 by 18 to give you a final answer of $1. Hope this helps!
what is the mean number of points
scored by these players? D A. 7 B. & DD. 10
Answer:
A
Step-by-step explanation:
1. In 2000, Florida's population was 16 million. Since 2000, the state's population has grown about 2% each
year. How big will the population be in 2016?
Answer:
13620000
Step-by-step explanation:
Johnathon is planting potatoes and carrots in his
garden. He has 30 potato plants and 50 carrot plants.
He wants to distribute the two types of plants equally
among the rows.
What is the greatest number of rows he can make?
Answer: 3
Step-by-step explanation: well if he does rows of 10 then it will have to be 3 and he will have 20 potato plants left over.
6. A student driver travels at a speed of 3km/h for an hour and a half. What
distance does it travel?
Answer:
4.5 km
Step-by-step explanation:
3km times 1 = 3 and then 3km times .5 = 1.5
3+1.5= 4.5
whats the final answer?
Step-by-step explanation:
Tanø=opp/adj
Tan30=x/7. (× b.s 7)
x=7Tan30
x= 4.04
UPS charges $7 for the first pound, and $1 for each additional pound. FedEx charges $5 for the first pound and $2 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?
Answer:1
Step-by-step explanation:
0+1=1
Answer:
3 pounds
Step-by-step explanation:
1st pound:
ups=7
fedex=5
2nd pound:
ups=8
fedex=7
3rd pound:
ups=9
fedex=9
Record the steps needed for solving 2(x-8)=24
Answer:
x=20
Step-by-step explanation:
2 ×(x - 8)=24
2x - 16 =24
2x =24 +16
2x =40
x=40 :2
x=20
1.4.AP-9
The temperature in some region of Alaska equals 12° F. Convert this temperature to Celsius.
12°F='c (Round to the nearest tenth of a degree as needed.)
Answer:
-11.1
12°F= -11.1°C
Sorry if I'm late to answering..
The temperature of Alaska in degree celsius will be -11.11°C.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example, kilo gram to gram.
Given the temperature of Alaska 12° F.
Since we know,
°C = 5/9(°F - 32)
Given that.
°F → 12°F
So,
°C = 5/9(12 - 32)
°C = 5/9(-20)
°C = -11.11
Hence "The temperature of Alaska in degree celsius will be -11.11°C".
To learn more about unit conversion,
brainly.com/question/11543684
#SPJ2