Answer:
The formula for the arithmetic sequence will be:
[tex]a_n=-7n+6[/tex]Step-by-step explanation:
Given
a₁ = -1d = -7We know that we can get the next term of the Arithmetic sequence by taking the current term and adding the common difference.so
a₂ = a₁ + d
= -1 + (-7) ∵ a₁ = -1
= -1 - 7
= -8
similarly,
a₃ = a₂ + d
= -8 + (-7)
= -8 - 7
= -15
and so on
Thus, the Arithmetic sequence becomes
a₁, a₂, a₃, ...
-1, -8, -15, ...
as
a₁ = -1d = -7Therefore, An arithmetic sequence has a constant difference d and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = -1 and d = -7
[tex]a_n=-7\left(n-1\right)-1[/tex]
[tex]a_n=-7n+6[/tex]
Hence, the formula for the arithmetic sequence will be:
[tex]a_n=-7n+6[/tex]Look at this graph
What is the slope?
I’ll mark as brainiest!!!
Worth 18pts!!
Answer:
m = 2Step-by-step explanation:
Use two points on the graph to find the slope:
(40, 0) and (50, 20)The slope is:
m = (y2 - y1)/(x2 - x1)m = (20- 0)/(50 - 40) = 20/10 = 2what i sthe answer to 6a+5a-b-5b+2a
Answer:
13a-6b
Step-by-step explanation:
Answer:
13a - 6b
Step-by-step explanation:
combine like terms:
6a+5a-b-5b+2a
combine all the terms with the variable "a"
13a-b-5b
combine all the terms with the variable "b"
13a-6b
What is the product of 1/2 and 2/3
Answer:
1/3
Step-by-step explanation:
Answer:
it is 1/3
Step-by-step explanation:
it's 1/3 because 1/2 times 2/3 equals 2/6 and you can divide 2 by 2 to get 1 and 6 by 2 to get 3 so the answer is 1/3
write your answer for y.
Answer:
The coordinates of Y' will be: A'(4, -3)
Step-by-step explanation:
Triangle XYZ with vertices
X(-5, -2)Y(-3, 4)Z(-1, 1)We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.
We know that when P(x, y) is reflected in y = x, we get P'(y, x)
i.e.
The rule of y=x:
P(x, y) → P'(y, x)As we are given that Y(-3, 4), so the coordinates of Y' will be:
A(-3, 4) → A'(4, -3)
Therefore, the coordinates of Y' will be: A'(4, -3)
what is half of half of half of 8?
Answer:
I believe it is 1
Step-by-step explanation:
half of 8 is 4
half of 4 is 2
half of 2 is 1
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answers:
A.y=-6x-3
B.x y
0 -1
4 -4
8 -7
12 -10
C.y=-3x+4
D.x y
-2 1
2 7
6 13
10 19
Please help
Answer:
y=-3/4x-3
Step-by-step explanation:
4) Graph by making a
table.
y=2x
Answer:
the first pic is the table of values
the second pic shows the shape of your graph
I'm tripped up on this question... Can someone help?
A technician can test video player chips at the rate of -3t^2+16t+5 chips per hour
(for 0 ≤ t ≤ 6), where t is the number. of hours after 9:00am. How many chips can be. tested between 11:00am to 3:00pm? (Assume t=0 for 9:00am)
Show work
Answer:
68 Chips
Step-by-step explanation:
On the picture above, I was confused about t=0 and 9am which one I will put in , but I tried to help you to get the right answer.
The local school board wants to get parents to evaluate teachers. They select 100 parents and find that 89% approve of their child’s teacher
Answer:
Ok? Did you finished asking the question? Just in case, that is 89/100 or 0.89
Step-by-step explanation:
Here, Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers
What is sample space in probability?The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.
Given that, A local school board wants to get parents to evaluate teachers. They select 100 parents and find that 89% approve of their child’s teacher, here we need to find the population, sample and parameter of interest
So, as we see,
The population is the entire group that you want to draw conclusions about.
Therefore, the population here is = All parents
The sample is the specific group that you will collect data from.
Therefore, the sample = 100
The parameter is any characteristic that can help in defining or classifying a particular system.
Therefore, the parameter = Parents’ approval of teachers
Hence, we get Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers
For more references on sample space, click;
https://brainly.com/question/28043513
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ILL GIVE BRAINLIEST
5 is 30% of what number
Answer:
16.67 I THINK
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
there are 7 doctors and 27 nurses happy hill hospital.what is the ratio of doctors to nurses.Need it fast
Answer:
7/27
Step-by-step explanation:
do the doctor over nurses
The two triangles shown have the same perimeters. What is the perimeter of each triangle
Answer:
28 units
Step-by-step explanation:
Since the perimeter of both triangles is same,
the sum of all sides of first triangle = sum of all sides of second triangle
or, 6x + 3 + 2x + 4x = 5x + 5x + 3x + 2
or, 12x + 4 = 13x + 2
or, 4-2 = 13x - 12x
or, 2 = x
Now,
Putting the value of x in the perimeter of first triangle,
12x + 4= 12* 2+ 4
= 28 units
Tyler answered 152 questions correct on his multiple choice history final and earned a grade of 76%. How many total questions were on the final exam?
Answer:
200 questions
Step-by-step explanation:
152 questions correct and earned 76%
so, 152/x = 76/100
x= 152*100/76
x=200
Hope this helps plz hit the crown :D
Simplify: 5 + p > 3
A.) p > 8
B.) p -2
9833
Step-by-step explanation:
Please!!!!!! Answer These Plato Composites of Inverse Functions
Scale Factor : ____?____
Algebraic Representation : ______?______
Answer asap please !
Answer: Scale Factor = 1/4
Step-by-step explanation:
The base of triangle X has a length of 12, and the base of triangle x' has a length of 3. Therefore, the scale factor is 1/4, because 12 x 1/4 = 3.
The slope of the line that passes through (2.4) and (3,8)
Answer:
The slope is 4
Step-by-step explanation:
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( 8-4)/(3-2)
= 4/1
=4
Martin used 1/3 of his inheritance to pay off the mortgage on his house and 3/5 of what was left to purchase a new automobile. How much was left from his total $30,000 inheritance after these two expenditures
Answer:
12,000
Step-by-step explanation:
Since 1/3 of 30,000 is 10,000, we are left with 20,000. 3/5th of 20,000 is 12,000.
its given that x varies directly with y square and x=3 and y=3.Find the value of x when y=45
Step-by-step explanation:
x = ky², where k is a real constant.
When x = 3, y = 3.
=> 3 = 9k, k = 1/3.
Therefore x = y²/3.
When y = 45, x = 45²/3 = 675.
what is the answer to 6x+6-3(x-2)=x+4
need step by step explanation
Answer:x = -4
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x+6-3*(x-2)-(x+4)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
((6x + 6) - 3 • (x - 2)) - (x + 4) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x + 8 = 2 • (x + 4)
Equation at the end of step
3
:
2 • (x + 4) = 0
STEP
4
:
Equations which are never true:
4.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
A convex polyhedron has 24 edges and 16 vertices. How many faces does it have?
Euler's formula: V + F= E + 2
6
10
26
38
Answer:
10
Step-by-step explanation:
Using Euler's formula for polyhedra
F + V - E = 2
Here V = 16 and E = 24, thus
F + 16 - 24 = 2, that is
F - 8 = 2 ( add 8 to both sides )
F = 10
Answer:
b
Step-by-step explanation:
on edge 2021
7. Slips are drawn form a box containing 100 slips written with numbers 1 to 100. If three slips are
drawn one after the another with replacement, then the probability that first slip bears an even
number, second bears an odd number, third bears a perfect square number, is
a)1/100
b)1/25
c)1/45
d)1/40
Answer:
D
Step-by-step explanation:
We need the numbers of each before we can calculate the probability
Number of even numbers are 50
Number of odd numbers are 50
Number of perfect squares;
1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 and 100
10 perfect squares
Probability of selecting even = probability of selecting odd = 50/100 = 1/2
Probability of selecting a perfect square = 10/100 = 1/10
Thus, the probability of having the draws in the other stated in the question will be;
1/2 * 1/2 * 1/10 = 1/40
Please help me!!!!!!
Answer:
A = 51° b = 15.3858... c = 24.448
Step-by-step explanation:
Given: B= 39°
a = 19
and that it's a right triangle
so that means the other 3rd angle is
A+39+90=180
A= 51°
use SOH CAH TOA to remember how sin cos and tan fit on the triangle
Sin(x)=Opp/Hyp Cos(x)=Adj/Hyp Tan(x)=Opp/Adj
Let's use Tan to find b
Tan(b) = Opp / Adj
Tan(39) = b / 19
19*Tan(39) = b
15.38589... = b
use Pythagoras to find c
c = [tex]\sqrt{a^{2} +b^{2} }[/tex]
c = [tex]\sqrt{19^{2} +15.3858^{2} }[/tex]
c = 24.448....
2. Use the total time traveled column to write an equation.
3. Solve the equation for x. Show work, please.
4. What was the speed of the wind
Answer:
6 mphStep-by-step explanation:
Refer to attached table for inputs
Below equation is for total time traveled (middle column of table). Solving for x:
20/(14 + x) + 20/(14 - x) = 3.520(14 - x) + 20(14 + x) = 3.5(14 + x)(14 - x)20*2*14 = 3.5(14² - x²)160 = 196 - x²x² = 36x = √36x = 6Speed of wind is 6 miles per hour
a-2=7 solve this question please
Answer:
A=9
Step-by-step explanation:
So basically, just think of "what" minus two equals seven. That'd be nine.
You can also look at it like 7 + 2= A
A=9
Two 6-sided dice are rolled. What is the probability that the sum of the two numbers of the dice will be less than 6?
Answer:
I believe it would just be 5/6.
Step-by-step explanation:
In a six-sided dice, there are five numbers less than 6!
Step-by-step explanation:
sum of dice=1+2+3+4+5+6=21
sum of two sided dice=21(2)=42
sum of numbers less than 6=1+2+3+4+5=15
probability of two numbers less than 6=2/12=1/6
Which is a correct first step in solving 5 - 2x < 8x -3?
O5<6x-3
O 3x<8x - 3
O5<10x-3
O2-2x< 8x
Answer: 5 < 10x - 3
Step-by-step explanation:
A bookstore bought a case of 10 books at a wholesale price of $84. The bookstore will sell the books at a 25 percent
markup, and each book will be sold for the same amount. How much will they sell each book in the case for?
O $8.40
O $10.50
O $105.00
O $105.80
Answer:
$ 8.40
Step-by-step explanation:
divide 84 by 10 and you will get $8.40.
To find how much they bought each book for, you must divide by 10. 74 divided by 10 is 7.4. Then if they are selling them for 20% more, then multiply 7.4 and 1.2
Your answer is $8.80
How to write an equation in slope-intercept form with a graph
For example:
Answer:
y = - x - 1 is the answer to the graph
Solve the equation and leave your answers as simplified 8-3x/2=5 fractions or as decimals
Answer:
8-3x/2= 5
=>-3x/2=5-8
=>-3x=-3×2
=>-x=-6/3
=>x=2