Answer:
158.35
Step-by-step explanation:
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
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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
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
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.
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x - 8 = 68 what is the value of
x
x - 8 = 68
x - 8 + 8 = 68 + 8
x = 76
hope this helped
Please can someone help me?
Answer:
Step-by-step explanation:
find the zeros of the following equation using the quadratic formula y = x2 + 13x – 48
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.
Write an equation for the following scenario.
A 4000 fish population of tuna has been growing continuously at a rate of 0.3%.
[tex]4000(1.003)^{(x-1)}[/tex]
Step-by-step explanation:
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:
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
on number 6 what should i color in
Answer:
For 5/11 shade in the third bubble (0.45 repeating)
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
If f(x) = (x + 7)2 and g(x) = x2 +9,
which statement is true?
A fo)
B f(-4) > g(-3)
C f(1) = g(1)
D f(2) > g(2)
ANSWER : D
EXPLANATION : 81 > 13 is true
HELPPPO !% PT PLZZZZZZZZZZZZZZZZZZZZZ
Answer:
6/12, 2/4,
Step-by-step explanation:
6/12 because half of 12 is 6.
2/4 because half of 4 is 2.
Both can equal 1/2.
May someone help me please. Solve for x and then find the indicated length. Pleaseee
Answer:
16
Step-by-step explanation:
3x + 4 = x + 12 [The straight line on the segments AB and BC indicate that they are the same length]
2x = 8 [Subtract x and 8 from both sides]
x = 4 [Divide both sides by two]
Length AB is equal to (3x + 4) as indicated by the diagram. Substituting x = 4, (3 * 4) + 4 = 16
i need help with this questionnnn
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.
99 times the sum of v and 9
Answer:
Step-by-step explanation:
99(v + 9) is all you need here.
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:
1. Write an equation for the circle whose graph is shown.
y
5
3
2
-5 -4 -3 -2 -1
1 2 3 4 5 x
2
3
-4
-5
O (3-1)2 + (y + 2)2 = 2
O (3-1)2 + (x + 2)2 = 4
O (2+1)2 + (y – 2)2 = 4
O (2+1)2 + (y-2)2
Answer:
325
Step-by-step explanation:
got it right on edg
The required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is the center of the circle and 2 unit is the radius of the circle. Option C is correct.
A graph of the circle is shown, It is to determine the equation of the circle.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
From the graph, the center is ( -1, 2) and the radius is 2. Now put these values in the standard equation of the circle.
(x - (-1))² + (y - 2)² = 2²
(x +1 )² + (y - 2)² = 4
Thus, the required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is center of the circle and 2 unit is the radius of the circle. Option C is correct.
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(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!
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OWA OWA?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.
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)
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!!!!
The units for square centimeters are written as
Check all that apply.
O A. cm2
B. sq. cm
C. km2
D. sq.m
E cm
Please help! I need this answer right ! And I’m unsure can you LMK ASAP???
Answer:B
Step-by-step explanation: