Answer:
=4p^2−12p+13
Step-by-step explanation:
Let's simplify step-by-step.
4p^2−12p+13
There are no like terms.
Find the sum of the arithmetic series given a1
12, d = 4, and n = 30.
A. 8434
B. 4200
C.4216
D. 2100
Answer:
D
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12, d = 4 and n = 30 , then
[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]
= 15(24 + 116)
= 15 × 140
= 2100 → D
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.
What is the Sum of arithmetic series?The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows
Sn = n/2 [2a₁ + (n-1)d].
as given in the problem
a₁ =12, d = 4, and n = 30
Sn = 30/2 [2×12 + (30-1)×4]
= 2100
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.
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A number m is no less than –1 or less than or equal to −5.
Answer:
-1 < m ≤ - 5
Step-by-step explanation:
Your expression includes: m, -1, -5, >, ≤
m is the value being compared so it will be in the middle.
# sign m sign #
m is no less than -1: no less than means it is greater than -1, but does not include -1. Therefore, our sign is >
m > -1
m is less than or equal to -5. This means we use ≤ because it can equal -5.
m ≤ -5
Now combine the two expressions
m > -1 – This can also be written as -1 < m.
m ≤ -5
-1 < m ≤ - 5
The vertex of this parabola is at (-3,-1). When the yvalue is 0, the x-value is 4. What is the coefficient of the squared term in the parabola's equation?
A. -7
B. -3
C. 3
D. 7
Answer:
d
Step-by-step explanation:
The cost of every college is expected to increase 3.5%
next year.
The cost to attend Faber College is currently $24000.
If the percentage increase stays constant, what will the
cost be in TWO years?
Answer:
25,709.4
Step-by-step explanation:
First you would multiply 3.5 x 24,000, and then divide by 100, to get 840, and then add that to the original amount to get 24,840, and that is the cost for one year. And then you would multiply 24,840 by 3.5 and then divide by 100 to get 869.4. Finally just add that to 24,840 to get 25,709.4, and that is the cost for 2 years. I hope this helps :)
The cost of college in two years is $25709.4.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of Faber college = $24000
Rate of increase = 3.5%
The cost of college after one year.
= 103.5% of 24,000
= 103.5/100 x 24000
= $24,840
The cost of their college after two years.
= 103.5% of 24,000
= 103.5/100 x 24,840
= $25709.4
Thus,
The cost of college in two years is $25709.4.
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Find the Fourth vertex. Plz Need Help Will Mark the Brainiest. PLeeassssee I need profesionalll helpppp. :::::((((((( DDRRR. PPHHHIILL
HELPPPP!!! ITS DUE TODAY!!
Answer:
Step-by-step explanation:
2x+4y=82
x=41
y=20.5
hope this helps!
GYMNASTICSLOVE
PRONOUNS (SHE/THEY)
Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?
2 (18+ 21)
6 (6 +42)
3 (12+14)
6 (6 + 7)
What is the nth term rule of the quadratic sequence below?
8
,
14
,
22
,
32
,
44
,
58
,
74
,
.
.
.
1. A die is rolled once. What is the probability of rolling :
(a) 3
(b) 7
(c) an even number
(d) a prime number?
The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)?
x
y
–5
10
–4
5
–3
0
–2
–5
–5
Negative StartFraction 1 Over 5 EndFraction
One-fifth
5
Answer:
use the slope formula y2-y1/x2-x1 and you should get -5-0/-2+3= -5 which means the rate of change should be 5
Answer:
5
Step-by-step explanation:
which of the following rational functions is graphed below?
Answer:
Lets look at the asymptote Its x=-3So we have to look for (x+3) in the numerator We see the answer is BIn the expression, 2y2 + 4x – y + x2 +8, what is the coefficient
of x2 ?
A- 8
B- 2
C- 1
D- 4
Answer:
C. 1
Step-by-step explanation:
There is no number before the [tex]x^2[/tex] term and the term is positive, so the coefficient is [tex]1[/tex] (which is the only number we can refrain from writing as a coefficient, hence the reasoning).
Two trains leave stations 520 miles apart at the same time and travel toward each other. One train travels at 110 miles
per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer:
They wont meet
Step-by-step explanation:
The one going 110 will pass before the other one can reach it.
Please mark me the brainliest, 5 stars, and a thanks! Have a great day!
It will take 2.6 hours (or 2 hours and 36 minutes) long for the two trains to meet when Two trains leave stations 520 miles apart at the same time and travel toward each other.
To find the time it will take for the two trains to meet, we can use the concept of relative speed.
The two trains are traveling towards each other, so their speeds add up. The combined speed of the two trains is:
110 mph + 90 mph = 200 mph
To determine the time it will take for the trains to meet, we can divide the total distance they need to cover (520 miles) by their combined speed (200 mph):
Time = Distance / Speed
Time = 520 miles / 200 mph
Time = 2.6 hours
Therefore, it will take 2.6 hours (or 2 hours and 36 minutes) for the two trains to meet.
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PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answer:
144yd^2
Step-by-step explanation:
Did this before
Identify the integer represented by point A on the number line.
Answer:
i think is +5
hoped i could helped
how can I solve this problem?
Can anyone help me;(
Answer:
Use "photo math."
Step-by-step explanation:
Show work Plss oooooooo
Answer:
22.5 mins
Step-by-step explanation:
To find what that video's length must be, subtract the previous videos' lengths from the requirement, 5 hours. (x is the video length of her fourth video)
7/8 + 1 1/4 + 2 1/2 + x = 5
To make adding these fractions easier, find a common denominator.
7/8 + 1 2/8 + 2 4/8 + x = 5
4 5/8 + x = 5
x = 3/8, or 22.5 minutes.
Answer:
[tex]\frac{3}{8} \text{ hours.}[/tex]
Step-by-step explanation:
Her first three videos totalled up to
[tex]\frac{7}{8} + 1\frac{1}{4} + 2\frac{1}{2}\\=\frac{7}{8} + \frac{5}{4} + \frac{5}{2}\\=\frac{7}{8} + \frac{5}{4} \cdot \frac{2}{2} + \frac{5}{2} \cdot \frac{4}{4}\\=\frac{7}{8} + \frac{10}{8} + \frac{20}{8}\\=\frac{7+10+20}{8}\\=\frac{37}{8}[/tex]hours. To meet the [tex]5 = \frac{40}{8}[/tex] hour goal the shortest fouth video she can make is [tex]\frac{40}{8} - \frac{37}{8} = \frac{3}{8}[/tex] hours, because if the fourth video was any shorter, she'd end up with less than [tex]\frac{37}{8} + \frac{3}{8} = \frac{40}{8} = 5[/tex] hours in total (this is called a proof by contradiction). We are now done.
2а +3Ь — 5
b = a – 5
Answer:
a= -2b
Step-by-step explanation:
math.
WILL MARK YOU BRAINLIEST
Answer:
the answer is 3/2
Step-by-step explanation:
...........
what does x equal in this equation
Answer:
x=2
Step-by-step explanation:
You have to subtract 8 from both sides.
-5x+8=-2
-8 -8
----------------
-5x= -10
now divide both sides by -5.
x=-10/-5
(And two negatives make a positive.)
x=10/5
now you have to simplify 10/5
10/5 simplified is 2
so the answer is:
x=2
I hope this helps. :)
Max and Tyler collected 174 plastic bottles from the playground. Tyler collected twice as
many plastic bottles as Max.
Enter the number of plastic bottles that Tyler collected.
PLEASE HELP MEH I"M CONFUZLED
Write an expression for t divided by 218
Answer:
you have to write an expression for 't' divided by 218. Basically just do this
t ÷ 218
Step-by-step explanation:
use the pythagorean theorem 1) a=7 b=12
Answer:
√193
Step-by-step explanation:
7^2 = 49
12^2 = 144
144 + 49= 193
√193 because you are trying to find c not c^2
Hace 5 años la edad de un joven era 1/3 de la edad del papá y dentro
de 5 años la edad del joven será 1/2 de la edad del papá. Si x es la edad
actual del joven y si y es la edad actual del papá. ¿Cuál es la edad actual
de cada uno?
Ya está es mi última pregunta si me ayudan seria estupendo
Answer:
respuesta el joven tiene 15 y el padre 30
-12{-8+[4(2-5)-(-10-2)]}
-12(-8+(4*2-4*5)+10+2)
-12(-8+(8-20)+12)
-12(-8-12+12)
-12(-8)
96
What fraction is shown on the ruler below?
Correct answer pls!
Answer:
The last one, I think
Step-by-step explanation:
Answer: 4 5/16
Step-by-step explanation: becuase i got 100 on quiz
Which set contains values of x that make the statement below TRUE?
70x< 42
A. O {7, 8, 9
B. O {1,4,8)
c. {2,3,5
D. (5, 7, 9)
Answer: the answer would be B
Step-by-step explanation:
I just had this question on my test and got it right :)
subtract 491.67−25.86 HELP!!
Answer:
465.81
Step-by-step explanation:
nsxididjdjdisusjsj
The answer of the question is 465.81
Write and evaluate the expression. Then, complete the statements.
Ivan lost twenty dollars. Evaluate when d = $35.
The expression to model the situation is
.
The value of the expression when d = $35 is
.
PLS HELP FAST!
Answer:
The expression to model the situation is
✔ d - 20
The value of the expression when d = $35 is
✔ $15
.
Step-by-step explanation:
i just took the test
Answer:
Step-by-step explanation: