Given:
[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
[tex]a_n=a_{n-1}+d[/tex]
Where, d is the common difference.
We have,
[tex]a_n=a_{n-1}+9[/tex]
Here, d=9.
The first term of the AP is [tex]a_1=-4[/tex].
The explicit formula for an AP is:
[tex]a_n=a_1+(n-1)d[/tex]
Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get
[tex]a_n=-4+(n-1)9[/tex]
[tex]a_n=-4+9n-9[/tex]
[tex]a_n=-13+9n[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].
What is the volume of this rectangular prism?
3 cm
DI
cm
1
cm
2
Y
Answer:
3/4 cm^3
Step-by-step explanation:
Volume = base area * height. Where base area is 1/2*1/2 (As it is a square) and height = 3 cm, so times together get 3/4.
Step-by-step explanation:
multiply them all
V=h×l×w
V=½cm × 3cm × ½cm
V=¾cm³
What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45
Answer:
c
Step-by-step explanation:
20w=4w*5w
45WT=5WT*9WT
The volume of a cylinder is 65 cubic centimeters. Which equation can be used to find h, the height of the cylinder?
A. h = 65/b, where B is the base area of the cylinder.
B. h = 65 - B, where B is the base area of the cylinder.
C. h = 65B, where B is the base area of the cylinder.
D. h = B/65, where B is the base area of the cylinder.
Answer:
Im so sorry for do this but can you help me click my profile pic the click the last question PLZZZZZZZ will give 50 brain
Step-by-step explanation:
The equation that can be used to find h, the height of the cylinder, is h = B/65. The correct option is D.
How to calculate the height?The formula for the volume of a cylinder is:
V = Bh
Where V is the volume, B is the base area, and h is the height of the cylinder. We are given that the volume of the cylinder is 65 cubic centimeters, so we can write:
65 = Bh
To solve for h, we can divide both sides of the equation by B:
h = 65/B
Therefore, the equation that can be used to find h, the height of the cylinder, is:
D. h = B/65, where B is the base area of the cylinder.
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Last year Stevie was 281/4 inches tall. Since then he has grown 51/5
inches. How tall is Stevie now? Simplify your answer.
T
Answer:
80.45 inches
Step-by-step explanation:
Last year Stevie was 281/4 inches tall, which is: 70.25 inches (70 1/4)
He has grown 51/5 inches which is: 10.2 inches (10 1/5)
70.25 inches (last years height) + 10.2 inches (how many he has grown) = 80.45 inches
Stevie is 80.45 inches tall now.
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Jo puts $4500 in a
savings account that
earns 5.5% interest. How
much money will he have
after 18 months?
Answer:
The total money Jo has after 18 months is $4871.25
Step-by-step explanation:
A square has a perimeter of 76 cm. Each side measures x + 3.
What is the value of x, in centimeters?
The value of given x is 16
Given that:
Perimeter of square = 76 cm
Side of square = (x + 3)
Find:
The value of x
Computation:
Perimeter of square = 4[Side]
76 = 4[x + 3]
76 = 4x + 12
4x = 76 - 12
4x = 64
x = 64 / 4
x = 16
The value of x = 16
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3. For each equation, determine if x=2 is a solution. Explain or show your reasoning. Select ALL of those where the x can equal 2. 2 points -2(x - 4) = 4 26/x = 13 - 3.8x = -7.4 4(x - 1) - 3(x - 2) = -8
Answer:
26/x = 13
x = 2
Step-by-step explanation:
2(x - 4) = 4
2x - 8 = 4
2x = 4 + 8
2x = 12
x = 12/2
x = 6
26/x = 13
Cross product
26 = x * 13
26 = 13x
x = 26/13
x = 2
- 3.8x = -7.4
x = -7.4 / -3.8
x = 1.95
4(x - 1) - 3(x - 2) = -8
4x - 4 - 3x + 6 = -8
x + 2 = -8
x = -8 - 2
x = -10
(4n + 9) + (2m + 7) = (Simplify your answer.)
☁️ Answer ☁️
annyeonghaseyo!
Your answer is:
2m + 4n + 16
Hope it helps.
Have a nice day noona/hyung!~ ￣▽￣❤️
Answer:
[tex](4n + 9) + (2m + 7) \\ = 4n + 9 + 2m + 7[/tex]
[tex] = 4n + 9 + 7 + 2m[/tex]
[tex] = 4n + 2m + 16[/tex]
[tex] = 2m + 4n + 16[/tex]
[tex]or[/tex]
[tex]2(m + 2n + 8)[/tex]
Hope it helps ✌️
PLZ HELPPP a^2+b^2=c^2 i have the photo attached below and if you know this do you think you could help me with the rest of them as well? I have to answer 5 questions..
Answer: 7.5
Step-by-step explanation:
a²+b²=c²
C is the hypotenuse
a²+5²=9²
a²=81-25
a²=56
a=7.5
Answer:
wait so is this like uhmm pythagorean theorem?
Step-by-step explanation:
the square root of 5 and 9 is 25 and 81 add those together and you'll get 106, I'm not sure if you square root the 106 though but if you do its 10.295630141
help please I'll give 6 points and brainliest
Answer:
Radius - 25.4cm²
Circumstance- 159. 593cm²
Area - 2,026.83cm²
I think not sure
simplify the following equation 3/7 + 5/14
pls I need this now
Answer:
11/14
Step-by-step explanation:
Answer:
11/14
Step-by-step explanation:
[tex]\frac{3}{7} *\frac{2}{2}+\frac{5}{14}*\frac{1}{1} \\\frac{6}{14} +\frac{5}{14} =\frac{11}{14}[/tex]
NEED HELP ASAP FREE BRAINLIST
Answer:
13.6
Step-by-step explanation:
[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]
4x - 1 = -13 show the work please
Answer:
x = -3
Step-by-step explanation:
4x - 1 = -13
add 1 to each side
4x = -12
x = -3
Answer:
x = -3
Step-by-step explanation:
Add 1 to both sides to, this gives you 4x = -12. then divide both sides by 4, which would give you x = -3.
3. Which best describes parallel lines?
a) two lines that originate from the
same point
b) two lines that intersect at multiple
points
c) two lines that curve to form a circle
d) two lines that are always equidistant
Answer:
its A
Step-by-step explanation:
its A because parallel are two straight lines next to each other
Please help! Will give brainlist
Answer:
vertical
Step-by-step explanation:
bdvdhdvdhdvdhdhdvdhbdbdd
Answer:
adjacent
Step-by-step explanation:
A ball is thrown into the air. The height h, in feet, of the ball after x seconds is given by the function h = −16(x − 2)2 + 72. What is the equation in standard form and the maximum height of the ball?
A. h(x) = −16x2 + 32x + 72; 72 ft
B. h(x) = −16x2 − 32x + 72; 32 ft
C. h(x) = −16x2 − 64x + 32; 32 ft
D. h(x) = −16x2 + 64x + 8; 72 ft
Answer:
Step-by-step explanation:
h = −16(x − 2)² + 72
= −16((x − 2)(x − 2)) + 72 expand the square (x - 2)² = (x - 2)(x - x)
= -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72
= -16 (x² + (-2x) + (-2x) + (4) ) + 72
= -16 (x² + (-4x) + (4) ) + 72
= -16 (x² - 4x + 4 ) + 72
= (-16)(x²) + (-16)(-4x) +(-16)(4) + 72
= -16x² + 64x - 64 + 72
= -16x² + 64x + 8 My guess is D ; 72 ???
I have no clue what the ; 72 means after the given answer. It must be a standard form thing I never learned.
The equation in standard form -16x² + 64x + 8 and the maximum height of the ball is 72 feet.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
The height h, in feet, of the ball after x seconds is given by the function
h = −16(x − 2)² + 72
Now, simplifying the above expression is
h = −16((x − 2)(x − 2)) + 72
h = -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72
h = -16 (x² + (-2x) + (-2x) + (4) ) + 72
h = -16 (x² + (-4x) + (4) ) + 72
h = -16 (x² - 4x + 4 ) + 72
h = (-16)(x²) + (-16)(-4x) +(-16)(4) + 72
h = -16x² + 64x - 64 + 72
h = -16x² + 64x + 8
and, the maximum height is 72 feet.
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Tjtkjggj plz help
Ckdkdfkkf
Answer:
x=5
Step-by-step explanation:
3x-1.5=13.5
+1.5 +1.5
3x=15
÷3 ÷3
x=5
Any smart people know this i’m not smart
Answer:
-8n² - 8n + 3
Step-by-step explanation:
Combine like terms (terms with the same variables, as well as the same amount of that variable).
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)
First, distribute the negative sign to all terms within the second parenthesis:
4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1
Combine like terms:
(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)
-8n² - 8n + 3
-8n² - 8n + 3 is your answer.
Answer:
Option 3
Step-by-step explanation:
What is the percent of change from 400,000 to 700,000?
Answer:
17.5
Step-by-step explanation:
Answer:
I see this is your first brainly question, I hope you are enjoying the website! Anyway, the answer is 75%
Step-by-step explanation:
I got my answer from https://getcalc.com/math-percent-change-400000to700000.htm I recommend this website, I hope you try it out and like it! Have a wonderful day and dont forget to smile :) <3
Help me with this!!!
Answer:
z = 9
Step-by-step explanation:
JH is a perpendicular bisector of Δ IJK.
Thus the triangle is isosceles with
JK = JI , that is
7z = z + 54 ( subtract z from both sides )
6z = 54 ( divide both sides by 6 )
z = 9
CAN SOMEONE PLEASE HELP WITH THIS PROBLEM PLEASE!!!!
Where does y=3x+1 and y=2x intersect?
Answer:
Step-by-step explanation: this should help
The supermarket has 28 aisles. 75% are empty, without any shoppers. How many empty aisles are there in the supermarket?
Answer:
21
28/75%=28
there ya go
Some students want to order shirts with their school logo, The Tees company charges $9.65 per shirt
plus a setup fee of $43. The Shirtz company charges $8.40 per shirt plus a $58 fee. Which company
would you recommend to the students?
Evaluate the expression.
−(1/9)3
Answer:
- 1/729
Step-by-step explanation:
math
pls pls pls help with all these three asap! NO WRONG ANSWERS PLS!
Answer:
In 2014, the population is of the United States was about 318,900,000 people. Choose the best approximation of the United States Population in 2014.
people
people
Answer:
people
Step-by-step explanation:
Given
US Population in 2014: About 318,900,000
Required
Approximate
From the given options, it's seen that the population of US is to be approximated to one significant digit and the result should be presented in standard form
So, the first step is to write out the population
318,900,000
As a general rule,
Category 1: Digit 0-4 are approximated to 0
Category 2: Digit 5-9 are approximated to 1
Since, we are approximating to one significant digit, only the first digit is needed, others are to be approximated.
The first digit is 3, meaning that approximation starts from the next digit which is 1
Approximating 318,900,000 will give 300,000,000 because "1" falls in category 1 as illustrated above.
The final step is to convert 300,000,000 to standard form.
There are 8 0s after 3.
Hence,
Conclusively, the approximation of 318,900,000 is people
Step-by-step explanation:
the science teacher is filling her new fish aquarium. the aquarium holds 40 gallons of she fills the aquarium 0.8 of the way how many gallons will she need
Answer:
total number of gallons=40
4/5of gallons=?
40×4/5=32
Based on the data, how many of 650 ice cream eaters would be expected to prefer vanilla or cookie dough ice cream flavor Number of people vanilla 71 strawberry 22 cookie dough 27 chocolate 83
Answer: 305 people
Step-by-step explanation:
The total number of people sampled is:
= 71 + 22 + 27 + 83
= 209
Out of this 209, the number of people who prefer Vanilla and cookie dough ice cream is:
= 71 + 27
= 98 people
In a sample of 209 people, 98 people would prefer either vanilla or cookie dough. In 650 people, that number would therefore be:
= 98/ 209 * 650
= 305 people
Mila buys a two liter soda bottle. She accidentally drops the soda bottle and spills 287 milliliters of soda. How much soda is left?
Answer:
1713 milliliters
Step-by-step explanation:
1 liter is 1000 milliliters, so 2 liters is equal to 2000 milliliters.
2000 mL - 287 mL = 1713 mL
So 1713 mL are left.
F is directly proportional to A. if F=72 when A=9 find F when A=7