Answer:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
Step-by-step explanation:
An arithmetic sequence could be defined using only two pieces of information:
The first term of this sequence, [tex]a_{1}[/tex].The common difference between two consecutive terms of this sequence, [tex]d[/tex].The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:
[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].
Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].
When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:
[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
Simplify:
10-71
4
1-15+8
6
A. -31
B.
5
12
C. 1
11
D. 1.
12
=
Answer:
the answer is B
Step-by-step explanation:
it's the right answer
Answer:
D) 1 11/12
Step-by-step explanation:
10 - 7 = 3 -15 + 8 = -7
3/4 - (-7/6) = 23/12 or 1 11/12
I hope this makes sense :)
CAN SOMEONE PLEASE HELP WITH QUESTIONS 3 THROUGH 11?? YOU DON’T EVEN HAVE TO DO ALL OF THEM JUST THE ONES U FEEL LIKE DOING (ILL MARK AS BRAINLIEST!!)
Answer:
3. 3/2
4. -1/3
5. -3.5
6. -6and 2/3
7. -18and 13/24
8. 1/18
9.-2.6
10.-1.83
11. 14.963
Step-by-step explanation:
HOPE THIS HELPS, if not see me in the comments
BRANILIEST PLZZZ
Solve the equation
6×+2(2×-3)=18
Answer:
x= 2.4
hope this help you out
Answer:
[tex]x=\frac{12}{5}[/tex]
[tex]x=2.4[/tex]
Step-by-step explanation:
[tex]6x+2\left(2x-3\right)=18[/tex]
Expand 2(2x-3) by applying Distributive law:
[tex]2\times \:2x-2\times \:3[/tex]
Multiply:
[tex]2\times \:2x=4[/tex]
[tex]2\times \:3=6[/tex]
[tex]4x-6[/tex]
[tex]6x+4x-6=18[/tex]
Combine like terms:
[tex]6x+4x=10x[/tex]
[tex]10x-6=18[/tex]
Add 2 to both sides:
[tex]10x-6+6=18+6[/tex]
[tex]10x=24[/tex]
Divide both sides by 10:
[tex]\frac{10x}{10}=\frac{24}{10}[/tex]
[tex]x=\frac{12}{5}[/tex]
_____________________
About How Much Greater Is The Area Of The Largest Ocean Than The Area Of The Smallest Ocean?
The Pacific Ocean is the largest and deepest of the world ocean basins. Covering approximately 63 million square miles.
Arctic Ocean
The Central Arctic Ocean is the world's smallest ocean and is surrounded by Eurasia and North America.
(5.4 million square miles), is the world's smallest ocean.
Knowing that.... 63 - 5.4 = 57.6
57.6 million square milesHigher Order Thinking A full tank that holds 11.6 gallons of
gasoline is using 1.45 gallons per hour. Is the tank more than
half full of gasoline after 3.5 hours? Explain your answer
Answer:
Yes ! After 3.5 hours, it will be over half full !
Step-by-step explanation:
In the photo :)
56:59
Angles 1 and 2 form a right angle.
2 lines form a right angle. Another line extends between the 2 lines to form 2 angles. The top angle is labeled 1, and the bottom angle is labeled 2.
Which word describes their measures?
linear
congruent
complementary
supplementary
Evaluate the expression when c=4 and d=8.
5c+d
I think it is helpful for you!!!!
Please make me brainliest..
Answer:
5c + d
putting value of c and d,
5 × 4 + 8
20 + 8
28
HOPE THIS HELPS YOU
HAVE A NICE DAY
Sally's Soda company makes $1.20 for each can of soda sold out of a machine. If the company makes $144, how many
cans of soda were sold?
Answer:
120 cans of soda were sold
Step-by-step explanation:
Sally's Soda company makes $1.20 for each can of soda sold out of a machine. If the company makes $144, how many
cans of soda were sold?
144 ÷ 1.20 = cans sold
144 ÷ 1.20 = 120
check your work
120 x 1.20 = 144
*
Gas Station and Park
Alternate Exterior Angles
Corresponding Angles
Same-Side
rior Angles
Alternate Interior Angles
Vertical Angles
Answer:
Alternate Interior Angles
Step-by-step explanation:
rg
Consider the linear equation 4x+3y=19 find the value of y that makes the given ordered pair a solution to the equation (x, 5) X=
Answer:
X=1
Step-by-step explanation:
If the ordered pair of the solution is (x,5), this means that y=5
With this information, we plug in 5 for y and solve for x
4x+3(5)=19
4x+15=19
4x=4
x=1
POSTING THIS AGAIN PLEASE I NEED HELP I CAN'T FAIL THIS TEST
1) Which set of equations shows a way to find 729 : 9? 721 : 7 = 103 8: 2 - 4 . 729 : 3 = 243 729 ; 3= 243 So, 729 : 9 = 103 + 4 So, 729 : 9 = 243 + 243 720 : 9 = 80 9 : 9 = 1 72 :9= 8 9:9=1 So, 729 : 9 = 80 +1 So, 729=9= 8+1
Answer:
729 : 9 = 80 +1 is correct
the number of painted turtles in a pond is ten less than one-third of the number of frogs. Let f represent the number of bullfrogs. Write an expression for the number of painted turtles
The expression for the number of painted turtles in the pond will be 1/3f - 10.
Let the number of bullfrogs be represented by f.
From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:
= (1/3 × f) - 10
= 1/3f - 10
Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.
In conclusion, the correct option is 1/3f - 10.
Read related link on:
https://brainly.com/question/24950597
Karen already has $30 and earns $6.50 per hour as a lifeguard. She wants to buy a portable CD
player that costs at least $179.50. How many hours Karen must work to have enough money for the
CD player?
Answer:I think it’s 6.50x=117
After you solve, you should get 18 hours
Find the value of x
x - 2/3 = x - 6
please someone help. Giving brainliest!!
Answer:
I am pretty sure the answer is 3. hope this helps
Answer:
e=3
Step-by-step explanation:
[tex]7(2e-1)-11=6+6e\\14e-7-11=6e+6\\14e-18=6e+6\\8e-18=6\\8e=24\\e=3[/tex]
That is just one way to get to the answer, but basically just use pemdas, multiplying the parentheses and combining like terms. ;)
help me pls help me pls
Answer: what is this?
this diagram models three friends who are sharing two turkey sandwiches equally
Step-by-step explanation:
.......................
Answer:
Where's the diagram?
Step-by-step explanation:
0.6-16
What is the answer
Free brainliest but help me pls
Answer:
A:4
Step-by-step explanation:
3/4 divided by 3/16
3/4 times 16/3
reduce
4
Answer: 4
Step-by-step explanation: do the brackets first. which is (1/2 * 3/8) to multiply these two together multiply numerator by numerator and denominator by denominator. Or, top * top / bottom * bottom
so we'd do 1*2 / 3*8. so it would give you 3/16.
now all we have left to do is divide 3/4 by 3/16.
to do this you can multiply by the reciprocal of the second value(3/16 will become 16/3)
now we have [tex]\frac{3}{4}[/tex] * [tex]\frac{16}{3}[/tex] you can cancel out each 3 to give you 1/4 * 16/1
and you can also divide both 16 and 4 by 4 (16/4=4)
this gives you a final equation of 1 * 4 for a final answer of 4
The length of a rectangle is 3 more than twice its width. If the
perimeter of the rectangle can be no more than 78 ft, what are all of
the possible widths of
the rectangle?
.
Answer:
x <= 9.75
Step-by-step explanation:
W = x
L = 3x
P = 2L + 2W <= 78
2(3x) + 2(x) <= 78
6x + 2x <= 78
8x <= 78
x <= 9.75
HELP, please I'm stuck
On average, a person’s heart beats about 4.2×107 times per year. There are about 7,600,000,000 people in the world. Use this data to approximate the number of heartbeats for all the people in the world per year. Expressing your answer in scientific notation in the form a×10 b , what are the values of a and b ?
A person heart beats is 4.2 x 10∧7
there are 7,600,000,000= 7.6 x 10∧9
the heartbeats for all the people here on earth= 4.2 x 10∧7 x 7.6 x 10∧9
choosing like terms
4.2 ×7.6×10∧7×10∧9
31.92x10∧(7+9)
31.92×10∧16
a=31.92
b=16
Answer:
[tex]3.192*10^1^7[/tex]
Step-by-step explanation:
To find this value, multiply the two values given:
4.2x10^7 = 4.2 x ( 10 x 10 x 10 x 10 x 10 x 10 x 10) = 42000000
42000000 x 7600000000 = 319200000000000000
Then convert 319200000000000000 into scientific notation:
319200000000000000 = 3.19200000000000000
Cut off all the zeroes and I moved the decimal 17 places to the left, so the exponent will be positive:
[tex]3.192*10^1^7[/tex]
What are the solutions to x^2-2x+5=0
Answer:
x = 1 ± 2i
Step-by-step explanation:
x² - 2x + 5 = 0 ( add 5 to both sides )
x² - 2x = - 5
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = - 5 + 1
(x - 1)² = - 4 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( add 1 to both sides )
x = 1 ± 2i ( that is the solutions are complex )
Answer:
[tex]x=1\pm2i[/tex]
or
[tex]x=1+2i[/tex]
[tex]x=1-2i[/tex]
Step-by-step explanation:
All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula: [tex]x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
Quadratic formula gives two solutions, one when ± is addition add one when it is subtraction.
[tex]x^2-2x+5=0[/tex]
Equation is in standard form: [tex]ax^2+bx+c=0[/tex]
Substitute 1 from a, [tex]-2[/tex] for b, and [tex]5[/tex] for C in the quadratic formula, [tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\times \:1\times \:5}}{2}[/tex]
Multiply -4 × 5:
[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:5}}{2}[/tex]
Add 4 + -20:
[tex]x=\frac{-\left(-2\right)\pm \:4i}{2}[/tex]
* the opposite of -2 is 2:
[tex]x=\frac{2\pm 4i}{2}[/tex]
Now, solve equation:
[tex]x=\frac{2+4i}{2}[/tex]
Divide 2 + 4i by 2:
[tex]x=1-2i[/tex]
_____________________________
Determine the value of y
Answer:
C
Step-by-step explanation:
Because [tex]y^{\circ}[/tex] and [tex]134^{\circ}[/tex] both lie on a straight line, they sum to [tex]180^{\circ}[/tex].
So, [tex]y+134=180[/tex].
We can subtract [tex]134[/tex] from both sides of the equation to get [tex]y=46[/tex].
So, the answer is [tex]\boxed{C}[/tex] and we're done!
Can you please help me with this ??
Please help
its 3333344455556999999999999
find area and perimeter
Answer:
Area = 18×(6+9) + (11×9)
= (18×15) + 99
= 270 + 99
= 369m²
Perimeter = 2(18+11) + 2(15)
= 2(29) + 30
= 58 + 30
= 88m
If x = 6 and y = -2, find the value of x + y(to the power of 2)
Answer:
x+y²
x=6 y=-2
substitute
6+-2²
simplify
6+-4=2
answer= 2
How would the possible x values change if
Samantha had to pay $7.50 each month instead of
$15 every two months? How would the graph
change?
Judy earns $65 for working 5 hours. Find the constant of variation
Answer:
13 dollars an hour.
Step-by-step explanation:
65/5 = 13
total/time = constant of variation
Evaluate the expression 2m+n for m=16 and n=7
Answer:
The m is 16 so you do 2 x 16 which is 32 + 7
Step-by-step explanation:
16x2=32 + 7 = 39
Answer:
39
Step-by-step explanation:
whereas: m =16
n =7
2m+n
2×16+7
32+7
39