A series is defined by 5+9+13+17+.......+805 a. Find the number of terms of the series. b. Find the sum of the first 20 terms.
Answer: the number of terms of the series is 201 numbers
the sum of the first 20 terms is 890
the number of terms of the series is [tex]\frac{805-5}{4}+1=201[/tex]
the series have:
u1 = 5
d = 4
=> u(n) = 5 + 4.(n - 1)
=> u(20) = 5 + 19.4 = 81
so the sum of the first 20 terms is (81 + 5).20/2 = 890
( u1 is the first number of the series, d is the distance between front and rear numbers, u(n) is the overall term of the sequence, u(20) is the 20th of the series)
Step-by-step explanation:
A truck travels 2,400 miles in 60 hours going the same distance each hour. How many miles does the truck travel each hour?
Answer:
The truck travels 40 miles per hour.
Step-by-step explanation:
[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]
Salim walked113miles to school and then212miles to work after school. How far did he walk in all?
Please Help me!!
I need this ASAP!!
Answer:
Step-by-step explanation:
let smaller be x
larger number is x+5
4x-3(x+5)=29
4x-3x-15=29
x=29+15=44
x=44
larger number is 49
a school population of 1200 increases by 6% per year what will the population be after 4 years
Answer:
Step-by-step explanation:
1200x6%(.06)=72
72x4=288
1200+288=1488
1200+72=1272+72=1344+72=1416+72=1488
Please help and you will get brainliest!!
Consider a large population with a mean of 100 and a standard deviation of 21. A random sample of size 36 is taken from this population. The standard error of the sampling distribution of sample mean.
Answer:
3.5
Step-by-step explanation:
Given that:
Population mean (m) = 100
Standard deviation (σ) = 21
Sample size (n) = 36
The standard error of the sampling distribution of sample mean :
Standard Error is given by:
Standard deviation / sqrt(n)
Thus,
Standard Error = 21 / sqrt(36)
Standard Error = 21 / 6
Standard Error = 3.5
Find the reference angle of 155o. –25o 25o –65o 65o
Answer:
The reference angle for 155° is 25°
Step-by-step explanation:
The reference angle is the angle that the angle arm makes with the x-axis be it clock wise or anti-clock wise.
The reference angles are obtained by the following reference
0 - 90° => Angle
90° - 180° => 180 - angle
Our given angle is: 155° so we will use the second rule
The reference angle will be:
180° - 155° = 25°
Hence,
The reference angle for 155° is 25°
**DUE IN LIKE 10 MINUTES PLEASE HELP!**
Mary bought 6 bracelets that cost the same amount and one necklace which cost $86. The items she bought totaled $254 before sales tax was added. What was the cost of each bracelet?
A) $14
B) $56
C) $42
D) $28
1 necklace will therefore cost 34/4 = $8.5
Step-by-step explanation:
She spent between $39 and $59. let us find the average of the amount she spent = 39+59 / 2 = $49.
At an average, she spent $49.
The price of a bracelet is $5 and each bracelet costs the same amount and she bought 3 bracelets = $5 x 3 bracelets each = $15... She spent $15 on the bracelets.
Thus $49 - $15 = amount spent on the 4 necklaces = $34.
4 necklaces cost $34, 1 necklace will therefore cost 34/4 = $8.5
Answer:
Step-by-step explanation:
6x+86=254
subtract 86 from both sides 6x=168
divide both sides by 6 x=28
HELP!! EASY ANSWER
The radii of a circumcircle are segments that are equidistant from the ____________________ to the _______________(#8) of a triangle.
Answer:
Step-by-step explanation:
Same I need this to help plz hurry
A box of 14 raisins cost $2.94 while a box of 12 sunflower seed bags cost $2.40.
Which one is the better deal, based on the unit price?
Answer:
the sunflower seeds are a better deal when comparing unit price. The real question is why are we comparing raisins to sunflower seeds?
Step-by-step explanation:
14 raisins costs $2.94
This is $0.21 per raisin.
12 sunflower seed bags costs $2.40
That's $0.20 per bag.
A cup is in the shape of a cone. If the cup has a height of 6 inches and a diameter of 3 inches, which is closest to the amount of water the cup can hold? A 9.42 cubic inches B 14.13 cubic inches C 56.52 cubic inches D 113.04 cubic inches
Answer:
B.14.13in³
Step-by-step explanation:
Step one
The shape of the cup is that of a cone
The volume of a cone
V=1/3πr²h
Radius= d/2 = 1.5in
Height =6in
Substitute
V=1/3*3.142*1.5²*6
V=42.42/3
V=14.13in³
what is 5 1/3 - 3 5/6 I keep getting the wrong answer and I need the answer as a fraction
Answer:
3/2
Step-by-step explanation:
If you wanted whole number, it would be 1 1/2, but you said as a fraction, so that would be 3/2
Classify a triangle with size 10,10 and 22
Answer:
It's probably an isosceles triangle
Step-by-step explanation:
Suppose 3 is a root of the quadratic equation ax² – 2x – 21 = 0. Find the value of a and hence find the other
root of the equation.
Answer:
a = 3
the other root = -7/3
Morgan took out a $500 cash advance on her credit card. If the interest rate is 9%, and it takes her 1 year to pay back the loan, what is the total amount of money Morgan will have to pay back to her credit card?
Answer: $777.60
Step-by-step explanation:
8/100 = 0.08
0.08 * 720 = 57.6
57.6 + 720 = 777.6
Answer:
545
Step-by-step explanation:
9/100=0.09
0.09*500=45
45+500=545
Real answer: 545 Hope this helped C:
Please help me out!!!!!!!
Answer:
Is a 0
Step-by-step explanation:
Lucia is making a 21.6 centimeter beaded string to hang in the window. She decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters. How many green beads will she need?
Answer: 54 green beads
Step-by-step explanation:
From the question, we are informed that Lucia is making a 21.6 centimeter beaded string to hang in the window and that she decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters.
The number of green beads that she will need will be gotten by dividing the total length of bead she wants to make by 0.4. This will be:
= 21.6 / 0.4
= 54 green beads
14) When f(x) = x + 3 is transformed to g(x) = f(x) -1, what will be the new
equation?
15) Given: g(x) = f(x) + 5. What is g(x) when f(x) = x - 2?
Step-by-step explanation:
14) g(x)= x + 3 - 1
= x + 2
15) g(x)= x - 2 + 5
= x + 3
(6a+42)+(8a+72)=?
.
.
Answer:
14a+114
Step-by-step explanation:
Answer:
14a+114
Step-by-step explanation:
Since everything is addition you can ignore the parenthesis. So you have 6a+42+8a+72. Now you add the like terms, (6a+8a)+(42+72)=14a+114. Which is your answer!
If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?
A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd
Answer:
A
Step-by-step explanation:
because r is 1/2 of d so you would have 1 d instead of 2 r
Problem 1: Bob’s Citrus and Nursery sells cartons of citrus fruits. There are 24 oranges in each carton. They have 5,643 oranges to pack into cartons. How many cartons can they fill?
Problem 2: This year, 4,338 grapefruits have been harvested so far. Bob’s has 18 storage bins for grapefruits. If the grapefruits are distributed evenly among 18 bins, how many grapefruits are in each bin?
248 per bin.
The number of cartons that the oranges would fill in Bob’s Citrus and Nursery would be 235 cartons.
The number of grapefruits in each bin would be 241 grapefruits per bin.
How to find the number of cartons ?To find the number of cartons of oranges that would be filled, use the number of oranges that go into carton in Bob’s Citrus and Nursery and the number of oranges they have to pack. The formula would be:
= Number of oranges / Number of oranges per carton
= 5, 643 / 24
= 235 cartons
How to fin the number of grapefruits per bin ?The same logic is applied to find the number of grapefruits that would be in each bin. If each bin would have an equal number of grapefruits, the number of grapefruits per bin would be:
= Number of grapefruits / Number of bins
= 4, 338 / 18
= 241 grapefruits per bin
Find out more on grapefruits at https://brainly.com/question/7943300
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the function c = 100+0.30m represents the cost c (in dollars) of renting a car after m miles
A. Identify the independent and dependent variables.
B. What would the cost be to rent the car and drive 100 miles.
C. How many miles would a customer have to drive for the cost to be $149.50?
Answer:
IT IS 200
Step-by-step explanation:
12
4
What is the value of x?
O 3/8
O 1
O
8/3
C
8
Answer:
the value of x is 48
Step-by-step explanation:
because if x=12 and y=4 than you have to do this:
-) (x+y) x/y
(12+4) times 12/4
4/6 times 2/41
than it equals 48
this took me so long ;-;
Jody has 3 red marbles, 7 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles? A. 3:19 B. 3:7 C. 7:3 D. 19:3
Answer:
B. 3:7
Step-by-step explanation:
hope it helps u :)
Answer:
well for me I think
Step-by-step explanation:
it's 3:7
hope it's helpful
R is (-8,2) and RS is (-1,5) what are the coordinates of S?
Answer:
detailed
Step-by-step explanation:
answer
ok so tomorrow i have exams omg haha im so scareddd!!!!!
Answer:
Best of luck! I hope your exam goes well!!!
Write the simplest polynomial function for each set of zeros
Zeros = 2,-2, 4, 1
PLEASEEEEE HELPPPPPPPPPP
9514 1404 393
Answer:
p(x) = x^4 -5x^3 +20x -16
Step-by-step explanation:
If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:
p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)
__
Multiplying these out gives the result in standard form.
The product of the first two factors is a "special product" recognizable as the difference of two squares.
(x -2)(x +2) = x^2 -2^2 = x^2 -4
The product of the last two factors can be found in the usual way. The distributive property applies.
(x -4)(x -1) = x(x -1) -4(x -1)
= x^2 -x -4x +4 = x^2 -5x +4
Then the full polynomial is the product of these partial products:
p(x) = (x^2 -4)(x^2 -5x +4)
= x^2(x^2 -5x +4) -4(x^2 -5x +4)
= x^4 -5x^3 +4x^2 -4x^2 +20x -16
p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form
can anyone help me answer this?!?!
Answer:
if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR
We conclude that 'Symmetric Property of Angle Congruence' illustrates this statement.
Step-by-step explanation:
We know that the Symmetric Property of Angle Congruence can be defined as
For any angles X and Y, if ∠X≅∠Y , then ∠Y≅∠XFor example, Let suppose
m∠X = 20m∠Y = 20As ∠X≅∠Y i.e. 20 ≅ 20
then
∠Y≅∠X i.e. 20 ≅ 20
Given
if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR
Thus, we conclude from the above discussion that 'Symmetric Property of Angle Congruence' illustrates this statement.
help it’s also not D :)
Answer:
the answear is c
Step-by-step explanation:
i learnt in class that the number with the letter is used to divide what it equalls
Answer:
C
Step-by-step explanation:
Step 2 is correct, that is
8x = 10 ( divide both sides by 8 ), error made here by dividing by 10
x = [tex]\frac{10}{8}[/tex]
x = [tex]\frac{5}{4}[/tex]
The error was made at step 3