Answer:
8
Step-by-step explanation:
it's 8 because parallel lines have equal slopes
The first term in an arithmetic sequence is 5. The fourth term in the sequence is −4. The tenth term
is −22.
Which function can be used to find the nth term of the arithmetic sequence?
Answer:
aₙ = -3n + 8Step-by-step explanation:
The nth term of an arithmetic sequence: aₙ = a₁ + d(n - 1)
{d = common difference}
a₁ = 5
a₄ = 5 + d(4 - 1)
-4 = 5 + 3d
-4 - 5 = 3d
3d = -9
d = -3
Therefore;
aₙ = 5 + (-3)(n - 1)
aₙ = -3n + 8
Check: a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22
The nth term of the sequence is Tn = 8 - 3n
How to determine the function of the nth term?The given parameters are:
a = 5, first term
T4 = -4 --- the 4th term
T10 = -22 --- the 10th term
The nth term of an arithmetic sequence is:
Tn = a + (n - 1) * d
So, we have:
T4 = a + (4 - 1) * d
Substitute known values
-4 = 5 +(4 -1) * d
This gives
-4 = 5 + 3d
Subtract 5 from both sides
3d = -9
Divide by 3
d = -3
Recall that:
Tn = a + (n - 1) * d
So, we have:
Tn = 5 + (n - 1) * -3
Expand
Tn = 5 + 3 - 3n
Solve
Tn = 8 - 3n
Hence, the nth term of the sequence is Tn = 8 - 3n
Read more about arithmetic sequence at:
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How many yards are equivalent to 38 feet? Sh
Answer:
16 2/3 yards
Step-by-step explanation:
Hope this helps and have a wonderful day!!!!
3(2 - b) < 10 - 3(b-6)
After simplifying the inequality we get 6 < 28 which is true. Hence the given statement is true.
An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.
It signifies that the expression on the left should be more or smaller than the expression on the right, or vice versa. Literal inequalities occur when the relationship between two algebraic expressions is defined using inequality symbols.
The given inequality is:
3(2 - b) < 10 - 3(b-6)
Distribute the number inside the bracket,
6 - 3b < 10 - 3b + 18
Add 3n on both sides,
6 < 10 + 18
Simplifying it,
6<28
Hence,
The given statement is true.
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The complete question is:
Check whether the statement is true or false:
3(2 - b) < 10 - 3(b-6)
99 times the sum of v and 9
Answer:
Step-by-step explanation:
99(v + 9) is all you need here.
could someone help pls
Answer:
40%
Step-by-step explanation:
6/15=favorable amount/total amount
6/15=2/5
2/5*20
Answer: 40%
6/15 can be simplified to 2/5. multiply by 20 on both sides to get 40/100 (40%)
Help pleaseeeeeeeeeee
Answer:
d
Step-by-step explanation:
CORRECT ANSWER GETS BRAINLIEST
The difference between two numbers is 15. Find the two numbers if twice the small number plus three times the large number total 75. (Be sure to use let statments and an equation when solving)
Answer:
21 and 6
Step-by-step explanation:
a will be the larger, b the smaller:
a - b = 15
2b + 3a = 75
First, we'll solve the first equation for a in terms of b:
a = b + 15
Then substitute that in for a in the second equation to get a numerical value for b:
2b + 3(b + 15) = 75
2b + 3b + 45 = 75
5b = 30
b = 6
Next, we'll get a numerical value for a:
a - b = 15
a - 6 = 15
a = 21
Check the math:
2(6) + 3(21) = 12 + 63 = 75
Please lmk if you have questions.
If x and y are two rational numbers such that x < y , then ______ is a rational number in between x and y.
Answer:
[tex]\dfrac{x+y}{2}[/tex]
Step-by-step explanation:
Let first number be x and another number is y.
A rational number is a fraction that can be expressed in the form of x/y.
A rational number between x and y is given by :
[tex]R=\dfrac{x+y}{2}[/tex]
So,
If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.
A cab company charges a $10 boarding fee and a meter rate of $2 per mile. The equation is y=2x+10 where x represents the number of miles to your destination. If you traveled 5 miles to your destination, how much would your total cab be?
Answer: 20$
Step-by-step explanation: You would add 2(5)+10=y so 10+10=y 10 + 10 = 20
In this case (5,20). Hope this helps!!
Please someone help me!! Look at picture. Also write as it expression.
Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy
Step-by-step explanation:
Which expression is equivalent to 10(−45x+3)−2x?
−8x+3
−10x+3
−10x+30
−30x+30
Answer:
-10x+30
Step-by-step explanation:
just got it right on edg 2021 :)
None of these are correct
Which expression is equivalent to 3t - 5 + 8t + 3 ?
Answer:
11t -2
Step-by-step explanation:
3t - 5 + 8t + 3
Combine like terms
3t +8t- 5 + 3
11t -2
Start by changing the problem to 3t + -5 + 8t + 3.
Now combine like terms.
Combine like terms → your numbers
and your "t" terms.
So 3t + 8t is 11t and -5 + 3 is -2.
So the answer is 11t - 2.
solve the equation, then check s + 10.5 = 17.
Answer:
s=6.5
Step-by-step explanation:
to check, just substitute s for its value
6.5+10.5+17
so the correct answer is, s=6.5
Click the location of the point in the coordinate plane with the coordinates (–4, 3).
Answer:
I've put the red dot where location is.
Step-by-step explanation:
(x+3)(x-3)(3x+2) can you work this out please
Answer: 3x^3 + 2x^2 −27x −18
Step-by-step explanation below.
(x+3)(x−3)(3x+2)
=((x+3)(x−3))(3x+2)
=((x+3)(x−3))(3x)+((x+3)(x−3))(2)
=3x3−27x+2x2−18
=3x3+2x2−27x−18
Hope this helps!
you make a scale drawing of a banner for school dance .you use a scale of 1 inch ,2 feet what is the actual width of the banner HELP ASAP!!!!
Answer:
6.5
Step-by-step explanation:
you take the sides all added up (which was 13in) and divided it by two
Answer: the answer is 18. Trust me. I know what I’m doing lol
Step-by-step explanation:
not sure what the answer is
Given:
Base dimensions of a rectangular prism = 15 cm × x cm
The height of the prism = 8 cm
Volume of the prism = 600 cm.
To find:
The value of x.
Solution:
Base area of the prism is:
[tex]B=length\times width[/tex]
[tex]B=15\times x[/tex]
[tex]B=15x[/tex]
Volume of the prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting [tex]V=600,B=15x,h=8[/tex], we get
[tex]600=15x\times 8[/tex]
[tex]600=(8)(15)x[/tex]
[tex]\dfrac{600}{(8)(15)}=x[/tex]
Therefore, the correct option is C.
on number 6 what should i color in
Answer:
For 5/11 shade in the third bubble (0.45 repeating)
can i get an owa owa ?????
owa owa???
owa owa??
OWA OWA??
OWA OWA??
OWA OWA?Cool-down Melanie and Kala each started solving equation 2 for x. 1 (7x – 6) = 6x – 10 The result of Melanie's first step was: 3.5x = 6 = 6x - 10 The result of Kala's first step was: 7x - 6= 12x - 20 One of them made an error. Who was it, and what was the error?
I need to find who made the error and what was the error
Answer:
Kala's first step.
Step-by-step explanation:
Solving linear equations.
Step 1: Simplify each side, if needed. Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side. Step 3: Use Mult./Div. Step 4: Check your answer. I find this is the quickest and easiest way to approach linear equations. Example 6: Solve for the variable.But Kala did not do that. Instead, she skipped the first stages and moved on ahead, making her equation invalid.
In the diagram, point K is a point of tangency, MK = 720, and MN = 648. What is the radius of J
A. 76
B. 70
C. 72
D. 64
The radius of J is 76. so option A is correct.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
By applying Pythagoras theorem In right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(720 + J)² = (648)² + J²
518400+ J² + 1440J = 419904 + J²
1440J = 518400- 419904
J = 76
Therefore, J = 76 units is the answer.
Learn more about Pythagoras theorem;
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WHAT WOULD THiS BE! ♀️
no scammers pleaseee!
Answer:
First find the unit rate for julie
3 hours/45 dollars
0.066 hours/1 dollar
Now based off table, find Jacksons
y = 25x
if x = 1, y would be 25
25 - .066 = 24.934 dollars
Step-by-step explanation:
Solve the system of equations below.
A piece of blue yarn is 8 3/10 yards long. A piece of pink yarn is 4 times as long as the blue yarn. What is the total length of the blue and pink yarn
Answer:
41.5 Yards
Step-by-step explanation:8 3/10 * 4 = 33.2,
33.2+8 3/10 = 41.5
Please can someone help me?
Answer:
Step-by-step explanation:
i need help with this questionnnn
x - 8 = 68 what is the value of
x
x - 8 = 68
x - 8 + 8 = 68 + 8
x = 76
hope this helped
what is the area of the circle to the nearest square foot?
Answer:
G. 113
Step-by-step explanation:
We know that the diameter = 12, so the radius = 6.
area of circle = πr²
= π (6²)
= 36π
= 113.0973355 . . .
≈ 113 ft²
Oliver just accepted a job at a new company where he will make an annual salary of
$54000. Oliver was told that for each year he stays with the company, he will be
given a salary raise of $3000. How much would Oliver make as a salary after 6 years
working for the company? What would be his salary after t years?
Answer:
After 6 Years: 54000*6 + 3000*5 = 339,000
After t years: 54000*t + 3000*(t-1) = 57000 t - 3000
==============
Please give brainliest, I really want to rank up, thank you!
Answer:
$358,000
Step-by-step explanation:
He makes $54k dollars "annual" = per year
Each year he stays he gets $3k worth of a raise
He stays 6 years so
3000 x 6 = 18k
54,000 x 6= 340,000
so then you just add
18,000 + 340,000=
358,000
I hope that helps :D
find the zeros of the following equation using the quadratic formula y = x2 + 13x – 48