Answer:
The nth term of the sequence is -5n + 2 (or 2 - 5n)
Answer:
[tex]a_{n}[/tex] = - 5n + 2
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = - 5 , then
[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2
write an equation with the two given points (7, -2) (-1, 0)
Answer:
haha.A. Write True if the statement is correct and False if it is not true. 1. In active voice, the subject of the sentence is doing the action, 2. In passive voice, the action is done on/upon the subject. 3. The doer of the action is followed by the verb in active voice. 4. The doer of the action is preceded by the verb in active voice, 5. The receiver of the action in active voice is preceded by the verb. 6. The receiver of the action in passive voice is followed by the verb. 7. In passive voice, meaning is clearer and more direct. 8. In active voice, meaning can be confusing and indirect, 9. The tone is authoritative and subjective in active voice, 10. The tone is neutral or objective in passive voice.
Ignore the numbers
Help me how do I do this questionnnnn
Answer: No, they don't have enough money.
==========================================================
Explanation:
Let's find the area of the shape given. It's composed of two rectangles.
larger rectangle area = 8*9 = 72 sq meterssmaller rectangle area = 6*7 = 42 sq metersThe two rectangle areas add to 72+42 = 114 sq meters. This is the total floor area.
---------------------
Let x be the number of tins of polish the caretaker buys.
One tin covers 12 m^2 of floor area. Buying x of them covers 12x square meters of space. We need to cover 114 square meters.
Solving 12x = 114 leads to x = 9.5 when you divide both sides by 12.
Since the caretake cannot buy half a tin, we must round up to the nearest whole number. This means s/he must buy 10 containers of polish.
---------------------
Each bottle of polish costs £19
Ten of them cost 10*19 = 190 pounds. This is before the discount.
If you save 30%, then you save 0.30*190 = 57 pounds and the final price is 190-57 = 133 pounds.
Or put another way: if you save 30%, then you pay the remaining 70% and that final price is 0.70*190 = 133 pounds.
This final price is 3 more pounds than what the caretaker has, so they don't have enough money.
Calculate the average of these values: 38, 48, 58, 68?
Answer:
53 is the average value.
Step-by-step explanation:
To find the average, or mean of multiple values you first add them all up:
38+48+58+68=212
Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).
Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.
I hope that my answer has helped you, have a great day, ask any questions you have below.
Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost
among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.
$=
Answer:
250 - [tex]\frac{p}{24}[/tex]
Step-by-step explanation:
Since we have given that
Amount that Liam has = $250
Amount that he and his classmates spent on present for their teacher =$p
Number of students in which $p will split = 24
According to question,
Amount that left to Liam is given by
250 - [tex]\frac{p}{24}[/tex]
Hence, the required expression will be
250 - [tex]\frac{p}{24}[/tex]
(Hope this helps can I please have brainlist (crown)☺️)
Joleen and Pablo want to fertilize a rectangular garden
with an area of A square feet. They know that 5 cups of
fertilizer will cover an area of 240 square feet. They each
write an equation to represent the relationship between
the area, A, and the number of cups of fertilizer, c.
Joleen's equation: A = 480
Pablo's equation: c = 45
:
-А
Which of the equations is correct? Explain how you know.
Answer: A
Step-by-step explanation:
Because 489 + 45
If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. Round up your answer to the next period.
It will take 3 years and 4 months to accumulate $ 28,500.
To determine, if an amount of $ 25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $ 28,500, the following calculation must be performed:
25,000 x (1 + 0.04 / 2) ^ (2X) = 28500 25000 x 1.02 ^ 2X = 28500 1.02 ^ 2X = 28500/25000 1.02 ^ 2X = 1.14 1.02 ^ 6.62 = 1.14 6.62 / 2 = X 3.33 = X
Therefore, it will take 3 years and 4 months to accumulate $ 28,500.
Learn more in https://brainly.com/question/23251895
Rachel and Amanda are planting tulip bulbs. Rachel has planted 45 bulbs and is planting at a rate of 33 bulbs per hour, Amanda is planting at a rate of 36 bulbs per hour and has planted 36 bulbs. How long will it take Rachel and Amanda to plant the same number of bulbs? How many bulbs will that be?
Answer:
3 hours
144 bulbs
Step-by-step explanation:
33t + 45 = 36t + 36
Subtract 33t from both sides
45 = 3t + 36
subtract 36 fromboth sides
9 = 3t
divideboth sides by 3
3 = t
3 hours
How many bulbs will that be?
33(3) + 45
99 + 45
144
What is the probability that a point chosen at random in the rectangle is also in the blue triangle?
A triangle inside of a rectangle. The triangle is shaded and has a base of 5 inches and height of 4 inches. The rectangle is not shaded and has a height of 4 inches and length of 5 inches.
One-half
Four-fifths
1
2Simplify:
Answer:
1/2
Step-by-step explanation:
I did the quiz on Edge 2021 and got it right with 100%.
Please give me brainliest!
Brainiest fastest answer no link or bot or I report you I report you if you report me
I did this really quick so I hope all the answers are right, and double check them if you have time just in case
A ___ is a way of expressing a number as a fraction of 100
grade 5
Answer:
Percentage is the answer
Which value is the solution to the following equation? 26 = 2x - 4
Answer:
15
Step-by-step explanation:
26 = 2x - 4
2x = 26 + 4
2x = 30
x = 30 / 2
x = 15
Find a polynomial f (x) of degree 4 that has the following zeros.
6 (multiplicity 2), –1, 0
Leave your answer in factored form.
Step-by-step explanation:
The polynomial with given zero's is:
f(x) = a(x - 6)(x - 6)(x - (-1))(x - 0)Or simplified:
f(x) = ax(x + 1)(x - 6)², here a is the coefficient we don't knowkeenan has $3.15. at a cany store,sour fruit chews are $0.07 each. how many sour fruits chews could he buy?
Answer:
45
Step-by-step explanation:
divide 3.15 by 0.07 to get 45
Answer:45
Step-by-step explanation:
divide 3.15 by 0.07 answer 45
Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a comma separated list.)
The perimeter of the rectangle is the sum of its dimensions
The dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]
The area is given as:
[tex]\mathbf{A = 1000}[/tex]
Let the dimension be x and y.
So, we have:
[tex]\mathbf{A = xy = 1000}[/tex]
Make x the subject
[tex]\mathbf{x = \frac{1000}{y}}[/tex]
The perimeter is calculated as:
[tex]\mathbf{P = 2(x + y)}[/tex]
Substitute [tex]\mathbf{x = \frac{1000}{y}}[/tex]
[tex]\mathbf{P = 2(\frac{1000}{y} + y)}[/tex]
Expand
[tex]\mathbf{P = \frac{2000}{y} + 2y}[/tex]
Differentiate
[tex]\mathbf{P' = -\frac{2000}{y^2} + 2}[/tex]
Set to 0
[tex]\mathbf{ -\frac{2000}{y^2} + 2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{ -\frac{2000}{y^2} = -2}[/tex]
Divide both sides by -1
[tex]\mathbf{\frac{2000}{y^2} = 2}[/tex]
Multiply y^2
[tex]\mathbf{2000 = 2y^2}[/tex]
Divide by 2
[tex]\mathbf{1000 = y^2}[/tex]
Take square roots of both sides
[tex]\mathbf{y = \sqrt{1000 }}[/tex]
[tex]\mathbf{y = 10\sqrt{10 }}[/tex]
Substitute [tex]\mathbf{y = \sqrt{1000 }}[/tex] in [tex]\mathbf{x = \frac{1000}{y}}[/tex]
[tex]\mathbf{x = \frac{1000}{\sqrt{1000}}}[/tex]
[tex]\mathbf{x = \sqrt{1000}}[/tex]
[tex]\mathbf{x = 10\sqrt{10 }}[/tex]
Hence, the dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]
Read more about perimeters at:
https://brainly.com/question/6465134
5x + 5 = x + 25 what is x?
Answer:
x = 5
Step-by-step explanation:
5x + 5 = x + 25
subtract 5 from both sides
5x = x + 20
subtract x from both sides
4x = 20
divide both sides by 4
x= 20/4
x= 5
Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
I’ll choose brainliest
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA (CPCT)
5. In ΔJUN and ΔJEN,
JU = JE (Given)
NE = NU (Given)
JN = JN (Common)
∴ ΔJUN ≅ ΔJEN (By SSS Criteria)
∴ ∠U = ∠E (CPCT)
Hope it helps you....
Please mark as brainlliest
There are 12 girls and 8 boys in Ms. Crabapple's class. If 25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant, what percent of the entire class is going on the field trip?
Answer:
25%
Step-by-step explanation:
25% of 12 is 3
25% of 8 is 2
5 people out of 20 people
5/20 = 25%
25% percent of the entire class is going on the field trip
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
There are 12 girls and 8 boys in Ms. Crabapple's class.
The total number of students
12+8=20
25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,
25% of the girls =0.25×12=3
25% of the boys =0.25×8=2
So the total number of students went to field trip
3+2=5
So out of 20 student, 5 students went to the field trip.
Which means 25% of the entire class is going on the field trip
Hence, 25% percent of the entire class is going on the field trip
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
fred bags groceries at Wegman's. on average he fills 21 bags for every three customers what IS FREDS AVERAGE RATE OF CHANGE
Answer:
The rate of change will be the number of bags Fred fills for 1 customer.
Write a ratio.
21 : 3
x : 1
To solve for x, cross multiply.
3x : 21
Divide both sides by 3.
x = 7
Fred’s average rate of change is 7 bags.
:)
15-3x when x = to -2
Answer:
21 is the answer
Step-by-step explanation:
Given:
x = -2Let's use the given clue to solve the problem.
15 - 3x = Solution
=> 15 - 3(-2) = Solution
=> 15 + 6 = Solution
=> 21 = Solution
After working on this problem, we can conclude that 21 is our answer.
- [tex]GenuisUser[/tex] -
Answer:
21
Step-by-step explanation:
So, when given a question like this, we must plug in the number give for "x" in the equation.
[tex]15-3x = 15-3(-2)[/tex]
Now, we can simplify using PEMDAS
[tex]15+6 = 21[/tex]
Dont forget that a negative times a negative equals a positive!
Which parent function is represented by the graph?
Answer: D. The quadratic parent function.
Step-by-step explanation:
Quadratic functions have a parabola shape like the graph shown in the image.
Find the equation of the line with slope 43 and y-intercept (0,−1)
Answer:
y = 43x -1
Step-by-step explanation:
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 43x -1
1. This yield sign has equal sides and a perimeter of 136 cm. How long is each side?
Answer:
45 1/3 cm
Step-by-step explanation:
A yield sign is a triangle so it has 3 sides.
If the perimeter is 136 cm meaning 3x = 136 because all the sides are equal so you can multiple the length of each side by 3 to find the perimeter
3x = 136
x = 136/3
x = 45 1/3
each side is about 45 1/3 cm
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 45 books. There were twice as many large boxes sent as small boxes, which altogether can hold 360 books. Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.
Answer:
altogether can hold 360 books. Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.
Step-by-step explanation:
Answer:
Let be x the number of small boxes sent and y the number of large boxes sent.
Since each small box can hold 30 books (30x), each large box can hold 45 books (45y)and altogether can hold a total of 360 books, we can write the following equation to represent this:
30x+45y=360
According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:
y=8-2x/3
Brainliest plz
Write an equation in point-slope form of the line that passes through the point (4,−9) and has a slope of 6.
The equation is y−
Answer:
Step-by-step explanation:
Okay, so the point-slope form is
(y - y1) = m(x - x1)
Where m = the slope of the line
and where (x1, y1) is a point on the line
So, if the slope is 6, then m = 6
Now, you plug that and the point (4, -9) into the equation above.
(y -(-9)) = 6(x - 4)
y + 9 = 6(x - 4)
This is the point slope form of the line
A six sided die is tossed. Determine the odds against rolling a 3.
The odds are :
Answer:
1/6 because 3 is one of the sides of the 6
The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.
The total number of possible outcomes is 6, since there are six sides on the die.
Therefore, the odds against rolling a 3 are:
5:1
This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:
P(not rolling a 3) = 5/6
Alternatively, the probability of rolling a 3 is 1/6, so we can also say:
P(rolling a 3) = 1/6
And the probability of not rolling a 3 is:
P(not rolling a 3) = 1 - P(rolling a 3)
= 1 - 1/6
= 5/6
Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ7
A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.
Find the percent error.
A. 5.5%
B. 5.6%
C. 5.7%
D. 5.8%
Get 50 points for an answer and brainlyiest for explination
Answer:
B
Step-by-step explanation:
Mrs. Smith’s class raised a total of 994 silkworms, and 523 of them turned into moths about how many silkworms did not turn into months choose the better estimate
Answer:
471 that's the answer
Step-by-step explanation:
994 - 523 =471
hello I need help please help me
Answer:
1) equation
2) equation
3) expression
4) expression
Step-by-step explanation:
An equation has a result, or something that equals to .
Numbers 1 and 2 have the word "is" which means equaled to, so they are equations. 3 and 4 don't, so they are only expressions.
Hope that helped :)
Step-by-step explanation:
Examples:
[tex]a+4;\ 3b;\ \dfrac{x}{4}-\text{these are the expressions}\\\\x=5;\ c+5=3c;\ p=q-\text{these are the equations}[/tex]
[tex]1.\ n+4=12-\bold{the\ equation}\\\\2.\ 5\cdot n=50-\bold{the\ equation}\\\\3.\ C\cdot 7-\bold{the\ expression}\\\\4.\ 6\cdot(12+t)-\bold{the\ expression}[/tex]
Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours
my graph is the y axis is 1000 and the x axis is 20
Hi there!
We can begin by writing an equation for each company.
Let x = number of hours
Company A:
y = 250 + 50x (hourly rate is $50)
Company B:
y = 150 + 75x (hourly rate is $75)
We can set the two equations equal to each other to find their intersection point:
250 + 50x = 150 + 75x
Solve for x:
250 - 150 = 75x - 50x
100 = 25x
x = 4
Solve for y by plugging x into an equation:
y = 150 + 75(4) = 150 + 300 = 450
Thus, the lines intersect at (4, 450)
4 hours ⇒ $450 dollars
CALCULATE THE AVERAGE RATE OF CHANGE OF THIS POLYNOMIAL ON THE
INTERVAL (-1.1)
Answer:
-1
Step-by-step explanation:
The average rate of change of function f(x) on the interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
We have ...
f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4
f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2
Then the average rate of change is ...
m = (2 -4)/(1 -(-1)) = -2/2 = -1
The average rate of change on the given interval is -1.