if the nth term of a sequence is n^2 -3, find the first 3 terms and the 10th term.
Answer: -2, 1, 6,...97
Step-by-step explanation:
1st term: 1^2 - 3 = -2
1^2 = 1
1-3=-2
2nd term: 2^2-3 = 1
2^2 = 4
4-3=1
3rd term: 3^2-3 = 6
3^2 = 9
9 -3 = 6
10th term: 10^2-3 = 97
10^2 = 100
100-3=97
if 2x = 10
find the value of x
Answer:
5
Step-by-step explanation:
Divide both sides by 2.
Answer:
x=5
Step-by-step explanation:
2x=10
Divide 2 from the other side to isolate the variable.
x=5
A new window costs $600 plus VAT 20%. How much is the total bill?
Answer:
720
Step-by-step explanation:
600*.2=120
120+600
720
Answer:
720 dollars
Step-by-step explanation:
find 20% of 600 dollars
[tex]\frac{20}{100} * 600[/tex]
= 120 dollars
600 + 120
= 720
I hope this helped!
please mark me as brainliest
a.
[tex] \cot^{2} - \cos ^2a = \cot ^{2} a \times \cos ^{2} a[/tex]
Step-by-step explanation:
We need to prove that,
[tex]\cot^2 a-\cos^2 a=\cot^2 a\times \cos^2 a[/tex]
Taking LHS,
[tex]\cot^2 a-\cos^2 a[/tex]
We know that,
[tex]\cot a=\dfrac{\cos a}{\sin a}[/tex]
[tex]=(\dfrac{\cos a}{\sin a})^2 -\cos^2 a\\\\=\cos^2 a(\dfrac{1}{\sin^2 a}-1)\\\\=\cos^2 a(\dfrac{1-\sin^2a}{\sin^2 a})\\\\=\cos^2 a\times \dfrac{\cos^2 a}{\sin^2 a}\\\\=\dfrac{\cos ^2 a}{\sin^2 a}\times \cos^2a\\\\\because \ \dfrac{\cos ^2 a}{\sin^2 a}=\cot^2 a\\\\=\cot^2 a \times \cos^2a\\\\=RHS[/tex]
So, LHS = RHS
Hence, proved.
ILL GIVE YOU BRAINLIEST IF YOU HELP ME
Answer:
y = (1/2) x - 2
Step-by-step explanation:
Let us consider the points (- 2, - 3) & (0, - 2)
Equation of line in two point form is given as:
[y-(-3)]/[-3-(-2)] = [x - (-2)]/[-2 - 0]
(y + 3)/(-3 +2) = (x + 2)/ (-2)
(y + 3)/(-1) = (x + 2)/(-2)
(y + 3)/(1) = (x + 2)/(2)
2(y + 3) = (x + 2)
2y + 6 = x + 2
2y = x + 2 - 6
2y = x - 4
y = (1/2) x - 2
PROCEED IN THE SAME WAY TO FIND OUT THE REMAINING FUNCTIONS.
1. An iPhone is on sale for $780. It originally cost $1000.00. What is the percent of change?
Answer:
your answer is going to be 220.
Helpppppppppppp!!!!!!!!!
Answer: The answer is D. 1/16
Step-by-step explanation: If you think about it, 2 to the 4th power is 16. But in this situation, you have a negative exponent. To solve an exponent situation with a negative situation, put a 1 as the numerator and put the answer of the expression but with the exponent's positive value as the denominator. Hope this helps :D
Geometry B Final Name Date Period Name the relationship. complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior 1 2) 3) 4) 5) 6) 7) 8)
Answer:
but we can't write all the answers here
Answer:
Step-by-step explanation:
1. complementary
2. alt ext
3. supplementary
4. corresponding
5. b=65
6. 34
7. x=7
8.x=18
My head is hurting can you help me
It’s 16 points
Answer:
-6, -4
Step-by-step explanation:
If you flip the shape over the Y axis you can see
Function or Non-Function
Answer:
2 is not a function.
3 is a function
Step-by-step explanation:
one x value should each have a line leading off it. there are 2 y values for one x values in question 2 so its not a function
Gas prices at a gas station rose from $2.50/gallon to $3.25/gallon. What is the percent of increase in the gas prices?
Answer:
30%
Step-by-step explanation:
3.25 minus 2.50 equals 0.75. 0.75 is 30 percent of 2.50.
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of
$42,000. Their down payment is what percent of the purchase price? What percent of the purchase
price would a $49,000 down payment be?
Their down payment is % of the purchase price.
Answer:
their down payment is 30%
Step-by-step explanation:
Answer:
Step-by-step explanation:
if the price of the apartment is 140,000 dollars
lets find out how much is 1%
140,000/100=1400
42,000/1400=30
42,000 is 30% of the apt price
49,000/1400=35
49,000 is 35% of the apt price
Charlie can run 2 laps every 10 minutes and 4 laps every 28 minutes. How long will it take for Charlie to run 3 laps.
Answer:
19min
Step-by-step explanation:
(100 points if answered) (attatched screenshot) Algebra II need question 1 and 2
If f(x)=34x+56 , what is f(12)?
Answer:
f(x)= 34x +56 34(12) +56=464
Step-by-step explanation:
Kevin and his children went into a restaurant and he bought 31.50
um kevin bought 31.50 of what? food?
what’s the answer to this ?
Answer:
the answer should be [tex]-20.2m - 11.8[/tex]
Step-by-step explanation:
HELP!
during a back to school sale, a store sold jeans at a 25% discount. if one pair of jeans originally cost $35, what was its price during the sale?
Answer:
15$
Step-by-step explanation:
hope this helped
Answer:
35*0.25= 8.75 (multiply by the discount converted into a decimal)
35- 8.75= 26.25 (subtract that from the original to find the discount price)
or
35* 0.75= 26.25 (multiply by the percentage of the original price that you bought the jeans at)
Step-by-step explanation:
either way the answer is $26.25 is the discounted price
Please help soon! Thanks! Solve for x
Answer:
[tex]x=30^{\circ}[/tex]
Step-by-step explanation:
Looking at [tex]\triangle LMN[/tex]:
[tex]\angle NML = 180 - (90+45)[/tex] (angle sum of triangle is [tex]180^{\circ}[/tex])
[tex]=45^{\circ}[/tex]
Looking at [tex]\triangle KNM[/tex]:
[tex]\angle KNM = 180-105[/tex] (angle of straight is [tex]180^{\circ}[/tex])
[tex]=75^{\circ}[/tex]
[tex]\angle KNM + \angle NKM + \angle KMN = 180[/tex] (angle sum of triangle is [tex]180^{\circ[/tex])
[tex]75+2x+45 = 180[/tex]
[tex]2x+120 = 180[/tex]
[tex]2x=60[/tex]
[tex]x=30^{\circ}[/tex]
Hope this helps :)
Write the mixed number as a percent.
4 7/500
Answer:
4 7/500 as a percent is 401.4%
The mixed fraction [tex]4\frac{7}{500}[/tex] can be represent as 401%.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Fraction : 4 7/500
Now, writing the fraction in normal fraction form
= 4 7/500
= 2007/500
Now, to convert into percent
= 2007/ 500 x 100
= 2007/ 5
= 401%
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ5
Solve x^2 +13x+12=0 Please answer this
Answer:
x=−1 or x=−12
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+13x+12=0
Step 1: Factor left side of equation.
(x+1)(x+12)=0
Step 2: Set factors equal to 0.
x+1=0 or x+12=0
x=−1 or x=−12
Answer:
Solution
=
−
1
=
−
1
2
Step-by-step explanation:
I'm not 100 % sure about my answer
Hugo is saving for a new baseball glove. He saves $10 the first week, and $6 each week for the next 6 weeks. The expression 10+6 with the power of 2 represents the total amount in dollars he has saved. What is the total amount Hugo has saved?
Answer$46
Step-by-step explanation: Because if he saves $6 every week for 6 weeks then all you have to do is times 6 by 6 then plus ten equaling your problem.
I need help pleas I need it please please please free 50 points
Answer:
answer is 0
Step-by-step explanation:
Answer:
its zero
Step-by-step explanation:
28 divided by 4 is 7
7 to the power of 2 is 49
49 divided by 7 is 7
7-7 is 0
What is the area of the trapezoid.
Answer:
60
Step-by-step explanation:
base times height
The height in feet (h) of the ball t seconds after it is released can
be modeled using the formula: – 16t^2 + 10t + 6 = h
Find the time, in seconds, passed before the ball hits the ground
(let h = 0).*
*PLEASE SHOW WORKK
Step-by-step explanation:
h = -16t² + 10t + 6
When h = 0, -16t² + 10t + 6 = 0.
=> -8t² + 5t + 3 = 0
=> (-8t - 3)(t - 1) = 0
=> t = 1 or t = -3/8 (rejected as time cannot be negative)
Hence 1 second passed before the ball hits the ground.
-2.5(4w-4)= -6 and check
Answer:
y=60
Step-by-step explanation:
f(x) = 2x + 3 and
g(x) = -3x + 1
f(4) + g(-2)=?
Find the value of x.
Group of answer choices
25
40
65
115
Answer:
40
Step-by-step explanation
x=40 because if you time these in like this:
3(40)-10= 110
40+15=55
If you user 65 it'll be wrong because:
3(65)-10=185
And the whole thing is only 180 :]
Evaluate 32 divided by 1.6
show work
Answer:
20
Step-by-step explanation:
32/1.6= 20
How do you want me to show the work? Long division?
Answer:
20
Step-by-step explanation:
Idk how you want me to show the work, sorry. The formatting will be weird unless I attach a pic or something
Ryan's dog weighs 50 pounds, and Mark's dog weighs p pounds. Which expression shows their combined weight? A. 50 × p B. 50 + p C. 50 ÷ p D. 50 - p
Answer:
B, 50 + p.
Step-by-step explanation:
To combine their weight, you would add them together. B is the only answer that uses addition.