Answer:
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Step-by-step explanation:
Step(i):-
Given sequence
-10,-5,0,5,10,15,20,.....
The first term = -10
The difference of two terms in the given sequence is equal
d = -5-(-10) = -5 + 10 = 5
d = 0 -(-5) = 5
The given sequence is in arithmetic progression
Step(ii):-
The [tex]n^{th}[/tex] sequence
[tex]a_{n} = a+(n-1) d[/tex]
aₙ = -10 +(n-1) 5
aₙ = -10 + 5n -5
aₙ = -15 +5n
Step(iii):-
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
put n = 5
a₅ = -15 + 5(5) = -15 +25 = 10
Final answer:-
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Answer:
The sequence starts with -10, and the index starts at 1. So, the index of -10 is 1.
n = 5 refers to the fifth term of the sequence, which is 10.
Step-by-step explanation:
Plato Answer
Can the Pythagorean Theorem be used to find a distance in the coordinate plane?
Answer:
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
Step-by-step explanation:
hope it help
Answer:
Yes it can be used because there is a right angle and by using 3 points u form a right triangle and then u will can find distance
Wyatt’s class is having pizza party. Each group of 3 students eats 1 1/2 pizzas.
Yep brainliest if correct
9514 1404 393
Answer:
B) -125
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic.
(a^2 -b^2)^3
= (2^2 -(-3)^2)^3
= (4 -9)^3
= (-5)^3
= -125 . . . . . matches choice B
HELP QUICK ILL GIVE TOU BRAINLIEST
find the surface area...
Please help I’ll mark you as brainliest if correct
Answer:
72 cm³ (see below)
Step-by-step explanation:
First, refer to the volume formula:
V = l · w · h
If you plug in all of your values and simplify, you'll get the volume:
l = 6 cm
w = 3 cm
h = 4 cm
V = (6) (3) (4)
V = 18 (4)
V = 72 cm³
Because this is volume, the measurements are units cubed, meaning it's cm³.
CAN SOMEONE HELP WALLAHI THIS IS SO HARDDDDDD
Answer:
3[tex]\sqrt{5}[/tex]
1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?
Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)
Answer:
Circ=37.704, Area= 112.112
Step-by-step explanation:
Circumference= pi *Diameter
Taking pi=3.142, Diameter=12
Circ=3.142*12=37.704
Area= pi * r^2
Area= 3.142*6*6=112.112
i can’t seem to find any answers for this can anyone help?
Answer:
2 2/3
Step-by-step explanation:
- - is the same as + so it's actually 2 1/3 + 5
Gordon types 3,572 words in 47 minutes. Find the unit rate.
Answer:
Gordon types at 76 wpm
Step-by-step explanation:
You can find this by dividing the number of words typed by the number of minutes:
[tex]\frac{3572w}{47m}\\\\= \frac{3572}{47}\frac{w}{m}\\\\= 76\frac{w}{m}\\\\[/tex]
Answer:
78 Words per minute
Step-by-step explanation:
Unit Rate = 3666 Words in 47 minutes
Unit Rate = 78 Words per minute
The measures of the three angles whose sum is 120° are in the extended ratio 2:5:8 find the exact angle measures
Answer:
ans is 16°,40°and64°
let ratio be 2x,5xand 8x
Step-by-step explanation:
their sum=120°
2x+5x+8x=120
15x=120
x=120/15=8°
2x=2×8=16°
5x=5×8=40°
8x=8×8=64°
What is the area of Rectangle PQRS in the xy-coordinate plane below?
Answer:
Area of Rectangle PQRS = 12
Step-by-step explanation:
P.S - The exact question is -
Given -
P = (2, 2)
Q = (6, 2)
R = (6, 5)
S = (2, 5)
The graph is as follows :
As we know that Area of Rectangle = Length × Breadth
Here Length of Rectangle = PQ
Breadth of Rectangle = PS
⇒ Area of Rectangle PQRS = PQ×PS = 4×3 = 12
Jackson is given the expression below to simplify.
9x - 4 + 4x + 5x + 19
Which expression is equivalent to Jackson's expression?
0 3(6x + 5)
0 18x + 23
05(x + 2)
0 14x + 19
Answer:
it should be 3(6x+5)
Step-by-step explanation:
3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19 so option (A) will be correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression,
9x - 4 + 4x + 5x + 19
By adding variables and constants individually
(9x + 4x + 5x) + (-4 + 19)
⇒ 18x + 15
Taking common 3
⇒ 3(6x + 5)
Hence "3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ6
Please use the Quadratic Formula to find the zeros of the function below.
g(x) = 2x2 + x + 25
Answer:
Step-by-step explanation:
Xavier opened a savings account with a deposit of $12,000.
The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?
0.9%
1.8%
2.7%
3.6%
Answer:
the answer is 236.25
Step-by-step explanation:
The interest rate on annual basis on the given account should be considered as 0.9%.
Calculation of the annual interest rate:
Here the interest amount be
= Future value - principal
= $12,324 - $12,000
= $324
Now the interest rate be like
Interest = Principal * rate * time period
$324 = $12,000 * rate * 3/ 100
So, the rate be 0.9%.
Hence, The interest rate on annual basis on the given account should be considered as 0.9%.
Learn more about interest rate here: https://brainly.com/question/14191952
very easy 5th grade math. please look at photo and answer!! giving brainiliest
Answer:
Back Prism: 60
Front Prism: 90
Total Volume: 150
Step-by-step explanation:
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant
Answer:
Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below
answer :
y-intercept = 25.9047
slope = 2.8420
Step-by-step explanation:
Determine the slope for the regression equation and y intercept
The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )
y = 25.9047 + 2.8420x
from the equation gotten above
y-intercept = 25.9047
slope = 2.8420
x + 11 < 6
Solve and graph on a number line
Answer & Step-by-step explanation:
So I can't exactly graph exactly, but I'll try...
To solve:
x+11<6 Subtract 11 on both sides.
x<-5
To graph:
<-------|---------o---------|-------->
-6 -5 -4
(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)
Hope this helps! Have an awesome day ( • ω • )^
1 Rose factored the expression below. Is her answer correct? Why or why not? x2.5x + 6 + (x - 1)(x - 6)
Answer:
(x+3)(x+2)
Step-by-step explanation:
Given the quadratic equation x²+5x + 6
Factorize
x²+2x+3x+6 = 0
x(x+3)+3(x+2) = 0
(x+3)(x+2)
Hence the factored form is (x+3)(x+2)
Rose was incorrect because she uses the wrong factors
Max's reading assignment was to read 15 and 1/2 pages. After reading 4 and 1/3 pages, he took a break. What fraction of the pages does he have left to read?
Answer:
he has 11 4/25 pages left
a scientist recorded the temperature of the first day of spring for 24 hours starting from Midnight their hours the scientist recorded a low of 44°f and a high of 67°f.
Answer:
so what is the question?
Solve Question 2 for x, the number of bracelets Tasha bought:
Question 2: (Tasha bought some bracelets that cost $5 each and 2 hats that cost $12 each. The cost of her total purchase was $39. Which equation can be used to find x, the number of bracelets she bought?)
Answer: x = bracelets
Answer:
x=3 bracelets
Step-by-step explanation:
5(X)+2(12)=39
5X=39-24
5X=15
X=3
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what size order is the cost per unit a minimum?
A) An order of 1 unit has a minimum cost per unit.
B) An order of 8 units has a minimum cost per unit.
C) An order of 80 units has a minimum cost per unit.
D) An order of 320 units has a minimum cost per unit.
Answer:
The minimum cost per unit is obtained for an order of 8 units.
Step-by-step explanation:
Since the total cost is modeled by;
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are called
Answer:
numbers thank you whole numbers
Step-by-step explanation:
At lunch 4 friends share 3 pizzas equally what fraction of pizza does each friend get
Answer:
3/4
Step-by-step explanation:
3 divided by 4
Maggie stacked a box that was 83 centimeters (cm) tall on top of a box that was 128 centimeters. How tall was the stack of boxes in meters and centimeters?
Answer:
211 centimeter ; 2.11 meter
Step-by-step explanation:
Given that:
Height of box 1 = 128 cm
Height of box 2 = 83 cm
Stacking box 2 on the box 1 :
Height of stack :
Height of box 1 + height of box 2
128 cm + 83 cm = 211 cm
Converting 211 cm to meter :
100 cm = 1 m
211 cm = (211 / 100) m
= 2.11 meter
A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6 years
Answer:
The area after 6 years is [tex]1519.49km^2[/tex]
Step-by-step explanation:
Given
[tex]a = 2100[/tex] --- Initial Value
[tex]r = 5.25\%[/tex] --- Rate
Required
Determine the area after 6 years
Because the area reduces,, the following formula will be used to solve the question.
[tex]y = a*(1 - r)^t[/tex]
Here
[tex]t = 6[/tex]
So, we have:
[tex]y = 2100*(1 - 5.25\%)^6[/tex]
Convert percentage to decimal
[tex]y = 2100*(1 - 0.0525)^6[/tex]
[tex]y = 2100*(0.9475)^6[/tex]
[tex]y = 1519.47866516[/tex]
[tex]y = 1519.49[/tex] -- approximated
The area after 6 years is [tex]1519.49km^2[/tex]
Given that WXYZ is a rectangle and ZY=2x + 3, and WX=x +4, then WX=
Answer:
Step-by-step explanation:
SOLUTION:
The opposite sides of a rectangle are parallel and congruent. So, ZY = WX.
2x + 3 = x + 4
x=1
Use the value of x to find WX. WX = 1 + 4 = 5.
Which is a multiple of 3, 2, and 5? 36 40 45 60
Answer:
60
Step-by-step explanation:
60/3=20
60/2=30
60/5=12
20$56 x4-7 + ,608+. 0. -70
“Soup and taco” sells 7 burritos for every 9 tacos sold if they sell 63 burritos, how many tacos do they sell?