Answer: 150
Step-by-step explanation:
To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d
From the question,
First term = a = 4
12th term = 31.5
We need to get the common difference which will be:
Since 12th term = 31.5
a + (n - 1)d = 31.5
a + (12 - 1)d = 31.5
a + 11d = 31.5
Recall that a = 4
4 + 11d = 31.5.
11d = 31.5 - 4
11d = 27.5
d = 27.5 / 11
d = 2.5
Since last term is 376.5, the number of terms in it will be calculated as:
a + (n - 1)d = 376.5
4 + (n - 1)2.5 = 376.5
4 + 2.5n - 2.5 = 376.5
2.5n = 376.5 - 4 + 2.5
2.5n = 375
n = 375 / 2.5
n = 150
The number of terms in the series is 150.
someone help!! i’ll give brainliest
This isn't a math question. Hellooo!!! Can someone pls help me??? how does racial discrimination relate to economic statification? :))) If you don't want to.... I mean..... It's okay..... :)))
WILL GIVE EXTRA BRAINLST
HAVE A NICE DAy
Answer:
They should both be irrational
Step-by-step explanation:
:)
Have a nice day too!
What must the radius of C be for PR to be tangent to it at Q?
Answer:
D. 8
Step-by-step explanation:
Draw segment CQ which will be perpendicular to tangent PR.
So, triangle CQR will be right angled triangle right angle at Q.
Let radius of the circle be r.
Therefore,
CQ = CS = r
By Pythagoras Theorem:
[tex] {(r + 9)}^{2} = {r}^{2} + {15}^{2} \\ \\ {r}^{2} + 18r + 81 = {r}^{2} + 225 \\ \\ 18r = 225 - 81 \\ \\ 18r = 144 \\ \\ r = \frac{144}{18} \\ \\ r = 8[/tex]
PLEASE help me I am begging you it’s due in 10 minutes
Answer:
7. m<K = 60
8. m<U = 110
9. m<C = 50
Step-by-step explanation:
Triangles: when all 3 angles all added it should be 180 degrees
7. 60+60+unknown value=180 --> unknown value=180-60-60=60
8. 35+35+unknown value=180 --> unknown value=180-35-35=110
9. 53+77+unknown value=180 --> unknown value=180-53-77=50
please hurry i will mark brainliest
Answer:
Q (8,0)
R (8,9)
S (5,0)
Step-by-step explanation:
I counted how many places is each point away from the line and then I counted the same amount of places on the other side in order to find the reflected angle.
How many different meal combinations are possible if he chooses one type of sandwhich, one snack, and one drink ?
Answer:
12 different possibility
Step-by-step explanation:
1- pbj, cookie, juice
2-pbj, cookie, milk
3-pbj, cookie water
4-pbj,brownie, juice
5-pbj, brownie milk
6-pbj, brownie water
7-turkey, cookie, juice
8-turkey, cookie, milk
9-turkey, cookie, water
10-turkey, brownie, juice
11-turkey, brownie, milk
12-turkey, brownie, water
Which is the graph of a logarithmic function?
Can u guys pls help me on this question and pls explain how u got the answer
Answer:
55.75
Step-by-step explanation:
find the area of 1 side using the base and height and divide that answer by 2
5x6=30 30 divided by 2=15
all sides are equal so each side is 15
the base you do the same thing.
base is 5, height is 4.3
4.3 x 5= 21.5
divide it by 2 10.75
side 1=15
side 2= 15
side 3=15
base 1= 10.75
add all together
55.75
Find the coordinates of the indicated point after performing the described transformation on triangle ABC
Answer:
DUDE YOU USE SCHOLOGY!!
Wait is your name andy from the inbox mail tab?? Arent you in 6th grade??
I think I know you man!!
Step-by-step explanation:
What is the volume of a cube with a side length of 2/3 cm? *
Algebra II Part 1
Triangle ABC is reflected over the x-axis. Triangle ABC has points A (-6, -1), B (-2, -1), and C
(-5, -6). What is the A coordinate?
Be sure to put coordinates
in parentheses
Answer:
JjKjKjKk
Step-by-step explanation:
A bathtub holds 132 gallons of water. Water is draining from the tub at a rate of 6 gallons every minute. How long will it take for the bathtub to drain completely?
A. 792 min
B. 36 min
C. 22 min
D. 136 min
Answer: C
Step-by-step explanation:132/6=22
Answer:
Step-by-step explanation:
132-6t=0
-6t=-132
t=22 minutes
what is 7 3/8 x 1 1/2 as mixed number?
What is the quotient of 65.8 : 8
Answer:
Step-by-step explanation:
The answer should be 8.5 I think
Anna is going to invest in an account paying an interest rate of 5.1% compounded
continuously. How much would Anna need to invest, to the nearest hundred dollars,
for the value of the account to reach $47,000 in 14 years?
Answer:
it’s 23000
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!
A city has a population of 330,000 people. Suppose that each year the population grows by 8.25%. What will the population be after 9 years?
Use the calculator provided and round your answer to the nearest whole number.
Answer:
The population in 8 years will be 673,543 people.
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 330,000
Number of periods (n)= 9 years
Growth rate= 8.25% = 0.0825
To calculate the population in 8 years given a growth rate of 8.25% a year, we need to use the following formula:
FV= PV*(1 + g)^n
FV= 330,000*(1.0825^9)
FV= 673,542.6
The population in 8 years will be 673,543 people.
Am I right here? If not what is the answer?
Answer:
750 m
Step-by-step explanation:
Theorem:
In a triangle, a segment whose endpoints are the midpoints of two sides is parallel and half the length of the third side.
In triangle LMN, segment DF has endpoints which are midpoints of sides LM and MN. That makes segment DF parallel to side LN and half the length of LN.
The shortest path from point D to point N is segments DF and FN.
Point F is the midpoint of segment MN.
MN = 800 m
FN = (1/2)MN = (1/2)(800 m) = 400 m
From the theorem,
DF = (1/2)LN
DF = (1/2)(700 m) = 350 m
shortest path = DF + FN = 350 m + 400 m = 750 m
Answer: 750 m
Please help. I only have 20 minutes to answer
Answer:
2
Step-by-step explanation:
C = 8
a = 4
8/4 = 2
Answer:
2
Step-by-step explanation:
Hey There!
If c = 8 and a=4 then you would have
[tex]\frac{8}{4}[/tex] which is equivalent to 2
so your answer is 2
please help thank you smuch
Answer:
these are real solutions
Need the help asp!!!
Answer:
It would be 8
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
(fractions 5th grade) 2/4 + 3/4=?
Answer:
5/4
Step-by-step explanation:
They are like fractions.
So, [tex]\frac{2}{4} + \frac{3}{4}[/tex] can be written as [tex]\frac{2+3}{4}[/tex]
Thus the answer is [tex]\frac{5}{4}[/tex].
students fill bean bags to play a game each bag contains 3 cups of beans they have a 1 pint container a 1 quart container and a 1 gallon container how many bags can they make
Answer:
7
Step-by-step explanation:
Step-by-step explanation:
there are 16 cups in a gallon plus 4 cups in a quart plus 2 in a pint
15 / 8 hfhhhfshsfhsfhfshfshfshsfhsf
ALRIGHT HERE IT IS FOR MCKEE
Answer:
1) -16<x
2) 8>x
3) 10≤x
Step-by-step explanation:
1) -16<x
2) 8>x
3) 10≤x
Answer:
question 6 is -16>x
question 7 is 8>x
question 8 10<=x
Malia ran 7/12 of a mile. Shona ran 3/4 of a mile. Who ran further?
Answer:
Shona ran farther
Step-by-step explanation:
3/4 *3/3 is 9/12 and 9/12 is bigger than 7/12
Answer:
Shona
Step-by-step explanation:
Both fractions have different denominators. To get a better picture of who ran further, let's have both fractions have the same denominator.
Let's convert the smaller denominator to the bigger one.
In order to do this, we will multiply top and bottom by 3:
[tex]\frac{3}{4} *\frac{3}{3} \\\frac{9}{12}[/tex]
Now, we compare the two fractions by seeing which numerator is closer to denominator.
From this comparison, the converted fraction, [tex]\frac{9}{12}[/tex] is closer to 12.
Therefore, Shona ran further.
Help me plz I don’t get it
Answer:
39.52 L
Step-by-step explanation:
10.4x3.8
1 gallon = 3.8 liters
3.8x10=38 The closest one is H
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
A right trapezoid with top side 7 feet and height 7 feet. The bottom side is extended to the right with 5 more feet.
a
45.5 square feet
b
63 square feet
c
66.5 square feet
d
84 square feet
Answer:
66.5 square feet
Step-by-step explanation:
We have to find the area of the doghouse which is in the shape of right trapezoid . that is, Substitute the values, we get, Hence, Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.
The reciprocal of 5 is 5/2 True False
Answer:
False
Step-by-step explanation:
FalseFalseFalse
Answer:
true
Step-by-step explanation:
plz help almost due.
Answer:
262 square centimeter.
Formula Surface area = 2(wl + hl + wh)