Answer:
first 4 terms =7,10,13,16
10th term = 34
Step-by-step explanation:
3n+4
3(1)+4=7
3(2)+4=10
3(3)+4=13
3(4)+4=16
7,10,13,16
10th term = 3(10)+4= 34
The first four terms of the sequence having nth term 3n+4, are 7, 10, 13, 16 and the 10th term is 34.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
Given that,
The nth term of a sequence is given by 3n+4,
To find the first 4 terms, substitute the values of n,
At n=1, the first term = 3(1) + 4 = 3 + 4 = 7
At n=2, the second term = 3(2)+4 = 6 + 4 = 10
At n=3, the third term = 3(3) + 4 = 9 + 4 = 13
At n=4, the fourth term = 3(4) + 4 = 12 + 4 = 16
For 10th term, substitute n=10.
At n=10, the tenth term = 3(10) + 4 = 30 + 4 = 34
The first four terms are 7, 10, 13, 16 and the 10th term is 34.
To learn more about Arithmetic sequence on :
https://brainly.com/question/1452631
#SPJ2
1. Fatima draws a
Quadrilateral in the
coordinate plane with
the conditions shown.
The sales tax on a $25,000 car is $1375. What is the sales tax rate?
PLEASE SHOW HOW YOU SLOVED IT!!! THX <3
Answer:
$11 sales tax per $200
Step-by-step explanation:
1375/25,000 = 11/200
Answer:
5.5%
Step-by-step explanation:
1375/25000= 5.5%
25000 * 5.5% = $1375.00
t The function f(t) = 390(1.0085) 365 represents the change in a quantity over t days. What does the constant 1.0085 reveal about the rate of change of the quantity?
The function is (growing/decaying) exponentially at a rate of _% evey ___.
Answer: The function is *growing* exponentially at a rate of *0.85%* every *year*
Step-by-step explanation:
The function is growing exponentially at a rate of 0.85% every year.
What is the exponential decay equation?The exponential decay equation is given by:-
y = (1 ± r)ⁿ
Where r is the rate of decay and A is the initial amount and n is the time period.
The function is given in the question below as:
The function f(t) = 390(1.0085)³⁶⁵ ....(i)
This represents the change in quantity over t days.
As per the given exponential decay equation,
⇒ f(t) = 390(1.0085)³⁶⁵
We can above function rewrite as:
⇒ f(t) = 390(1 + 0.0085)³⁶⁵
⇒ f(t) = 390(1 + 0.85/100)³⁶⁵
⇒ f(t) = 390(1 + 0.85%)³⁶⁵
Compare to the standard exponential decay equation, and we get
⇒ r = 0.85%
Therefore, the function is growing exponentially at a rate of 0.85% every year.
Learn more about exponential growth and decay here:
brainly.com/question/2193820
#SPJ2
what is x⁶+a²x³y/x⁶-a⁴y²
Answer: x^3 / x^3 - a^2y
Step-by-step explanation: Simplify the expression.
I hope this helps you out!
pls help im new so pls can u help me
Factorise
x^2+18x+80
Answer:
(x + 10)(x + 8)
Step-by-step explanation:
Given
x² + 18x + 80
Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)
The factors are + 10 and + 8 , since
10 × 8 = + 80 and 10 + 8 = + 18 , then
x² + 18x + 80 = (x + 10)(x + 8) ← in factored form
write a word sentence for the equation x-0.3=1.7
Answer:
the quotient x minus 0.3 is equal to 1.7
Step-by-step explanation:
Answer:
"x subtracted by zero-point-three is equal too one-point-seven."
Step-by-step explanation:
"x subtracted by zero-point-three is equal too one-point-seven."
Explanation:
"x subtracted by...": x -
"...zero-point-three...": 0.3
"...is equal too..": =
"one-point-seven": 1.7
~
Find the x- and y-intercepts of the graph of the linear equation −x+8y=4.
This is a practice delta math but i need help.
Answer:
it is the one that goes [tex]a_{n} =10(-2)^{n}[/tex]
Step-by-step explanation:
10 is the starting term a(sub 1). 2 is r or the common ratio and n is the term number you want to find. I hope this helps!
Find the value for M.
Answer:
it is 10
Step-by-step explanation:
Answer:
g
Step-by-step explanation:
g
solve the matrix and prove that it is equal 0
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}[/tex][tex] \underline{ \underline { \text{To \: Find}}} : [/tex]
[tex] \sf{ {A}^{2} - 5A+ 22I= 0}[/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.
[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]
Now , LEFT HAND SIDE ( L.H.S )
[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]
⟼ [tex] \sf{0}[/tex]
RIGHT HAND SIDE ( R.H.S ) : 0
L.H.S = R.H.S [ Hence , proved ! ]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
Step-by-step explanation:
\underline{ \underline{ \text{Given}}} :
\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}
\underline{ \underline { \text{To \: Find}}} :
\underline{ \underline{ \text{Solution}}} :
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}
. Again , Interchange it's rows and columns in order to find ' A '.
\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}
Now , LEFT HAND SIDE ( L.H.S )
\tt{ {A}^{2} - 5A+ 22I}
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}
⟼ \sf{0}0
RIGHT HAND SIDE ( R.H.S ) : 0
help me please - i'll give you 10 points.
Answer:
a.
Step-by-step explanation:
this is a y = mx + b equation
the “B” is the y-intercept. So look where the line crosses the 6 axis. The equation says -1. Right away, there are only two answers that could possibly be it. A and B. The Lines both cross at -1 on the y-axis.
the ”mx“ part of the equation is the slope. Slope is the change in y over the Change in x.
in other words:
y1-y2
———
x1-x2
another thing is that slope in this equation is negative. This means the line is decreasing or going/pointing down. The only possible answer is a.
What ordered pairs satisfy the function y=2/3+1
Answer:
2345678io90
Step-by-step explanation:
4x + 9y = 24
X + y = 10
Help ASAP
Answer:
14
Step-by-step explanation:
Answer:
(x, y) = (-16/5, 13[tex]\frac{1}{5}[/tex])
Step-by-step explanation:
4x + 9y = 24
x + y = 10 $\Rightarrow$ x = 10 - y
Substituting the value of x (second equation) into the first equation, we get:
4 * (10 - y) + 9y = 24
40 - 4y + 9y = 24
5y = -16
y = -16/5.
So, x = 10 - (-16/5) = 10 + 3[tex]\frac{1}{5}[/tex] = 13[tex]\frac{1}{5}[/tex]
-6p-3=9 what does p equal
Answer:
-2
Explanation:
-6 x -2 = 12
12 - 3 = 9
Answer:
p=-2
Step-by-step explanation:
Move the -3 to the other side by adding 3 on both sides:
-6p-3+3=9+3
The equation now looks like this:
-6p=12
Divide -6 on both sides:
-6p/-6=12/-6
The equation now looks like this:
p=-2 which is the answer
Hope this helps!
Charlie makes 9 dollars for each week of work. Write an equation to represent his total pay p after working h hours
Answer:
p = 9h
Step-by-step explanation:
:-)
A line with a slope of -4 passes through the point (0, 0). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer: y = -4x
Step-by-step explanation: You would use the formula y = mx + b to solve your problem. When you plug the numbers in, you get y = -4x. There would be no "+ b" because in this case, the y-intercept (b) is equal to zero. Therefore, you would not need to write "y = -4x + 0" because that would not be the equation in its simplest form.
The population of a city can be modeled by the expression p(1.06)^t where t represents the number of years since 1990 and p represents the population in 1990. which statement is correct?
A. the year growth rate of the population is 0.06%
B. the yearly growth rate of the population is 0.6%
C. the yearly growth rate of the population is 1.06%
D. the yearly growth rate of the population is 6%
please respond if you actually know the answer :)
Answer:
D
Step-by-step explanation:
.06 =6%
The expression p(1.06)^t represents D. the yearly growth rate of the population is 6%
What is the population growth rate?The country's yearly average rate of change in population size over a certain time period. It expresses the proportion, growth in population size, and the total population for that year.
Given, The population of a city can be modeled by the expression
[tex]p(1.06)^t[/tex] where t represents the number of years.
This describes the yearly growth rate of the population is 6%.
If in the previous year the population was 100 this year it'll be 106 and next year it'll be 106% of 106 which is 112.36.
learn more about population growth here :
https://brainly.com/question/18415071
#SPJ2
Pls help I need an answer to this question
Answer:
7/12
Step-by-step explanation:
I gave all of the fractions a common denominator:
1/6= 2/12
5/12= 5/12
1/4= 3/12
1/6= 2/12
Then, I added the 2/12 (from 0-1 hours) and 5/12 (from 1 1/2-2 hours). THis will give the complete range of 0-2 hours.
Hope this helps!
Can someone cashapp me 12 dollars and I pay them back? It’s an emergency
Answer:
Wait why
Step-by-step explanation:
I don't understand can you ask your parents or friends. I don't give strangers money.
Two customers went to an auto body shop. The first customer paid $561 for and oil change and four new tires. The second customer paid $303 for an oil change and two new tires. What is the cost of an oil change?
78
Step-by-step explanation:
A parabola has x-intercepts of (2, 0) and (-4, 0) and has a leading coefficient of 1. What is the equation of the parabola in standard form? *
9514 1404 393
Answer:
y = x^2 +2x -8
Step-by-step explanation:
For x-intercepts p and q, factors of the parabola's equation are (x-p) and (x-q). Since the leading coefficient is 1, those are the only factors.
y = (x -2)(x -(-4))
y = (x -2)(x +4) = x(x +4) -2(x +4) . . . . use the distributive property
y = x^2 +4x -2x -8 . . . . use the distributive property again
y = x^2 +2x -8 . . . . . . . .equation in standard form
Which represents the solution set of 5(x+5) <35?
X<12
X>12
X<16
X>16
Answer:
I got x<2 but that's not an option
Step-by-step explanation:
5(x+5) <35
5x+25<35
5x<10
x<2
if g(x)=3x^2+2x-1, find g(0)
Solve g(x) = h(x) for x:
g(x) = -2x - 2
h(x) = -4x – 8
) Multiply. What is the product
(3 x 10^9) * (2 x 10^17) in scientific notation?
Answer:
6 ×10^26
hope it helped
have a good day mate
Answer:
6x10^26
Step-by-step explanation:
can someone help me solve -9y+5y-7y+3y
Answer:
-8y
Step-by-step explanation:
-9t +5y -7y + 3y
-4y-7y+3y
-11y+3y
-8y
Answer:
-8y
Step-by-step explanation:
-9y + 5y - 7y + 3y
-9y -7y + 5y + 3y
-16y + 8
-8y
A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is
57feet and the statue subtends an angle of 7.1° to where you are standing. Find the height of the
statue
A. 13.3 feet
B. 6.4 feet
C. 34.2 feet
D. 8.5 feet
Answer: D.
Step-by-step explanation:
Hope it helps if so mark me brainliest.
5x+20=55 what does x equal?
Answer:
5x+20=55
5x=55-20
x=30/5=7
Answer:
x = 7
Step-by-step explanation:
5x + 20 = 55
- 20 - 20
5x (÷5) = 35 (÷5)
x = 7
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9
Answer:
The question is unclear. Please provide the table.
6. Allison wants to start saving for college. She got $250 in birthday money
and plans to save $50 a week from babysitting. Which equation could be
used to determine how many weeks it will take for her to save $1000? *