Answer:
Thus, the eleventh term is -25.
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the sequence:
5,2,-1,-4,...
We can directly find the common difference by subtracting two successive terms:
r = 2 - 5 = -3
The same result is obtained by subtracting any pair of successive terms.
The first term is a1 = 5. The general equation is:
[tex]a_n=5-3(n-1)[/tex]
[tex]a_n=5-3n+3[/tex]
[tex]a_n=-3n+8[/tex]
We need to find which term is -25, thus:
-3n + 8 = -25
Subtracting 8:
-3n = -25 - 8 = -33
Dividing by -3:
n = -33 / (-3)
n = 11
Thus, the eleventh term is -25.
A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40. How much is each pencil?
Answer:
9.85
Step-by-step explanation:
I subtract 17.40 and 7.55 to get 9.85 they just wanted to know how much the pencil cost not erasers.
The cost of each pencil is $1.15.
What is a system of equation?A system of equations is used when there are two variables, and you are given two pieces of information about how those variables are related.
Given that, A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40.
Let e represents eraser and p represents a pencil.
Establishing the equations,
3e+5p = 7.55
6e+12p = 17.40
Solving by elimination, we get,
p = 1.15
Hence, The cost of each pencil is $1.15.
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school is a nae nae not cool >:(
Answer:
1 2/9
Step-by-step explanation:
Answer: I- I- okay I’m not gonna answer that I-
Step-by-step explanation:
-3(10)+5x=26
Answer this please
Answer:
10%2B3x=26-5x Start with the given equation. 3x=26-5x-10 Subtract 10 from both sides. 3x%2B5x=26-10 Add 5x to both sides. 8x=26-10
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x^2+ 8x + 16
O A. X+ 8
O B. X+4.
O C. X-4
O D. X-8
(8.5×108) + (2.3×107)
Answer:
1164.1
Step-by-step explanation:
32. At a fast food joint, five cheeseburgers and two large shakes cost $23. At
the same fast food joint, three cheeseburgers and three large shakes cost
$21. What is the costs of a cheeseburger, and what is the cost of a large
shake? Show all work in the space provided.
yoression
Answer:
multiple choice?
Step-by-step explanation:
Answer:
Cheesburger costs $3. Shake costs $4.
Step-by-step explanation:
c is cheesburger and s is large shake.
5c+2s=23
3c+3s=21
15c+6s=69
-6c-6s=-42
9c=27
c=3
Mr. Altamirano opens an account with a simple interest on an account with $1000 at 3% annually for 9 months. How much interest did he earn?
Answer:
1022.50
Step-by-step explanation:
1000*.03= 30. (12mos interest)
30/4=7.50 quarterly interest
7.50x3 (9mos)= 22.50 interest
can someone help me
Answer:
I think its an obtuse triangle
least to greatest :)
Answer:
2^1 + 3^1, 2^3 - 2^1 and 3^2.
Step-by-step explanation:
3^2 = 9.
2^3 - 2^1 = 8 - 2 = 6.
2^1 + 3^1 = 4.
which equation represents the same line as the table
Answer:
I think the second one I may be wrong tho
The Pythagorean Theorem, given by the formula a^2+b^2=c^2, relates the three sides of a right triangle. Solve the formula for the positive value of a in terms of b and c.
Answer:
c=√a²b²
Step-by-step explanation:
The positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
It is given that the formula of the Pythagorean theorem for a right-angle triangle is, a² + b² = c².
The value of c is calculated as:-
a² + b² = c²
Reverse the equation to calculate a.
c² = a² + b²
Taking b² to the left side then the equation will become:-
a² = c² - b²
Taking square root on both sides of the equation.
[tex]\sqrt{a^2}=\sqrt{c^2-b^2[/tex]
[tex]a = \sqrt{c^2-b^2}[/tex]
Therefore, the positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
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please help :).
thank u
Answer:
B. No because it is not a straight line.
Be safe and wear a mask my friend. It's a sick world out there!
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because the function graph have to cut the x-inter ones so here you go broooo wish you get it right
12.12.12.12 +7(3.3.3.3+3)
What the answer
Answer:
23.253528
Your welcome
Find the slope of the line through the points (10, 4) and (4, 15)
FIRST TO ANSWEEER GETS BRANLIEST PLZ HELP
Answer:
I think it's 11/6 I think so
find the slope between the points (0,5) and (-3,7)
Answer:
- 2/3 is the answer
what is the quotient of (6x2-7x-5)/(2x+1) for all the values of x where the expression is defined? PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
=3x−5Step-by-step explanation:
6x2−7x−5 / 2x+1
= 6x2−7x−5 / 2x+1
= (3x−5)(2x+1) / 2x+1
=3x−5
15. Which of the following systems has no solution?
A. 3x – 2y = - 16x – 4y = 6
B. -x + y = 12x – 3y = 4
C. 4x + y = 7x + 4y = 4
D. 3x – 4y = 2 - 2x + 4y = 9
Answer:
A. has no solution
Step-by-step explanation:
The Morris family bought 3 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 25 of the eggs. How many eggs are left?
Answer:
29
Step-by-step explanation:
3 x 8 = 54 - 25 = 29
Determine the length of the diagonal side of the roof truss. The height of the roof truss is 6.3m and the full span of the roof truss is 16.4m.
Answer:
7.96
Step-by-step explanation:
Stella is trying to make extra money on her summer vacation from school. She works
two different jobs, earning $10 per hour babysitting and $13 per hour clearing tables.
How much money would Stella earn in a week in which she worked 7 hours
babysitting and 9 hours clearing tables? How much money would Stella
week in which she worked b hours babysitting and c hours clearing tables?
earn in
a
7 hours babysitting and 9 hours clearing tables:
b hours babysitting and c hours clearing tables:
Submit Answer
attempt i outot
Answer:
$187
10b + 13c
Step-by-step explanation:
Payment for babysitting = $10 per hour
Payment for clearing tables = $13 per hour
How much money would Stella earn in a week in which she worked 7 hours babysitting and 9 hours clearing tables?
Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours
= 10 × 7 + 13× 9
= 70 + 117
= $187
How much money would Stella
week in which she worked b hours babysitting and c hours clearing tables?
Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours
= 10 × b + 13 × c
= 10b + 13c
is 350% of 34 less than 100, greater than 100 but less than 150, or greater than 150?
Answer:
greater then a hundred but less then 150
Step-by-step explanation:
I multilayered by 3.5
What is the domain and range of the graph?
Answer:
Domain: [-1, 5]
Range: [-1, 2]
Step-by-step explanation:
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation.
Answer:
6tg67g76g76g76
Step-by-step explanation:
Answer:
There are 2 steps:
1. 90° counterclockwise rotation about the origin
2. Translation downward 2 units
Step-by-step explanation:
1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),
D moves from (-2, 4) to (-4, -2)
W moves from (-1, 2) to (-2, -1)
P moves from (3, 3) to (-3, 3)
2. Translation downward 2 units = (x, y) to (x, y-2),
D moves from (-4, -2) to (-4, -4) = M
W moves from (-2, -1) to (-2, -3) = J
P moves from (-3, 3) to (-3, 1) = S
Suppose 60% of kids like video games. Predict the number of kids that prefer video games out of a group of 200 kids.
Answer:
120 kids prefer video games
Step-by-step explanation:
60% is .60
multiply .60 by 200 to get your answer.
.60 × 200 = 120
A car went 64 miles on 2 gallons of gas in the morning, 16 miles on 1/2 gallon of gas at noon, and 32 miles on 1 gallon of gas at 5:00 PM. Is the amount of gas used proportional to the distance the car drove? Why or why not?
Answer:
Yes,
Step-by-step explanation:
You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.
The equation that models this relationship is y=2x. How many liters of water should Austin combine with 16 scoops of juice mix? Write your answer as a whole number or decimal.
Answer:
8 liters
Step-by-step explanation:
Given that:
y = 2x
where y is the number of scoops of juice mix, and x is the liters of water required.
To determine the liters of water required for 16 scoops of juice mix;
y = 16
So that,
16 = 2x
x = [tex]\frac{16}{2}[/tex]
= 8
x = 8 liters
Therefore, Austin would combine 8 liters of water to the 16 scoops of juice mix.
h(x)=4log2(x−6)+1
All real numbers greater than____
[tex]\huge\underline\mathfrak\blue{Answer:-}[/tex]
The demoin is all real numbers greater than 6
The domain of the function is "All real numbers greater than 6".
What are logarithmic functions?Any exponential function may be represented in logarithmic form because logarithmic functions are the inverses of exponential functions.
The given equation is h(x) = 4log2(x-6) + 1.
The domain is the set of values that can be inserted into a function.
Note that the logarithmic of a negative number is not defined, therefore, the expression inside the log, x-6, must be greater than 0.
x - 6 > 0
x > 6
Hence, the domain of the function is "All real numbers greater than 6".
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The complete question is:
What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.
All real numbers greater than______
The probability of choosing a penny from the 1980s from the bag of pennies without looking is StartFraction 3 over 40 EndFraction. Which term best describes this probability? impossible unlikely likely certain
Answer:
Unlikely
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
took test
Write 345.813 to the nearest whole number
400
346
345
300
Answer:
346
Step-by-step explanation:
345.813 is rounded to 346
Answer:
346
Step-by-step explanation:
the 8 rounds it up to 6
PLEASE HELP! BRAINLIEST
Answer:
the answer is 30
Step-by-step explanation:
the mid-segment of a triangle is half of the side that is parallel to it
mid-segment MJ is parallel to line LK
LK is 60, half of 60 is 30
MJ is 30