Answer:
1/81
Step-by-step explanation:
The sum of the first n consecutive even numbers can be found using S=n^2+n where n ≥ 2. What is the value of n when the sum is 210?
Answer:
n = 14Step-by-step explanation:
Given the sum of the first n consecutive even numbers expressed as
S=n^2+n where n ≥ 2.
If S = 210, then;
210 = n² + n
n² + n - 210 = 0
Factorize
n = -1±√1²-4(-210)/2
n = -1±√1+840/2
n = -1±√841/2
n = -1±29/2
n = -1+29/2 and -1-29/2
n = 28/2 and -30/2
n = 14 and -15
Since n ≥ 2, hence the required value of n is 14
1 Expand and simplify each expression
a) 4(x+6)
Answer:
4x+24
Step-by-step explanation:
4(x+6)
4Xx=4x
4x6=24
4x+24
Help with number 20.
Ms. McNeil buys 7.4 gallons of gasoline. The total cost is $28.12. Complete and solve the equation to find the price p in dollars of one gallon of gasoline. p = 28.12 The price of one gallon of gasoline is $.
Answer:
one gallon is $3.80
Step-by-step explanation:
divide 28.12 by 7.4 then bam
Enter the correct answer in the box.
Simplify the expression
Answer:
guy above me is wrigth. If you have any doubts see the picture.
Step-by-step explanation:
Hope it helps and mark as brailiest pleasee
Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7
Answer:
The equation for this slope will be y=7x-5
Step-by-step explanation:
Hope this helped
Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)
Answer:
D. (x - 9)(x+5)
Step-by-step explanation:
[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.
First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.
So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.
B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B
It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.
Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.
The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.
To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.
We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.
Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.
This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.
To learn more about the quadratic equation;
https://brainly.com/question/17177510
#SPJ6
if An atom has 10 protons, 11 neutrons, and 9 electrons. What is the atomic number of this atom?
A) 9
B) 10
C) 11
D) 21
Answer:
B
Step-by-step explanation:
Atomic number is equal to the number of protons in an atom.
Find the value of 71° + 72° + 73° + 74° + 75º.
Quick answer
8 = 6 + a/4 a=___ help
Answer:
a=8Step-by-step explanation:
6+a/4 = 8a/4=8-6a=4×2a=8Anna ran 10 meters, Bill ran 15 meters, and Chloe ran 20 meters. How many centimeters did the three people run?
Answer:
Anna: 1000cm
Bill: 1500
Chloe: 2000
convert m to cm
Answer:
4500 cm
Step-by-step explanation:
1 meter = 100 cm
10 meters = 1000 cm
15 meters = 1500 cm
20 meters = 2000 cm
1000 + 1500 + 2000 = 4500 cm
whoever answers right gets brainliest
Answer:
37
Step-by-step explanation:
Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37
Please help!! Pleaseeee
Answer:
pretty sure its the first and 3rd one sorry if im wrong
Step-by-step explanation:
7 + 2X = 5
3
..... zzzzzzzz
Answer:
23
Step-by-step explanation:
please mark brainliest
Answer:
x = 23
Step-by-step explanation:
7 + 2x = 53
7 + 2x - 7 = 53 - 7
2x = 46
2x / 2 = 46 / 2
x = 23
Hope this helps
Maybe brainliest?
Mario travels 180 miles in 2.5 hours . If Mario travels at the same rate, how far can Mario travel in 1 hour ?
Answer:
i have no idea.
Step-by-step explanation:
thug life.
Question 1 of 25
f(x) = 3x2 + 6x - 5
g(2) = 4x3 – 5x2 + 6
Find (f + g)(2)
O A. (f +9) (c) = 4x + 3x2 + 112 +1
O B. (f +g)(x) = 723 + 2? + 1
O c. (f +g)(x) = -4x3 + 8x2 + 6x – 11
O D. (f +g)(x) = 4x3 – 2x² +63 +1
Answer:
D
Step-by-step explanation:
In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon
Answer:
18 sides.
Step-by-step explanation:
The interior and exterior angles sum to 180 so:
I + E = 180
also I - E = 140 (given)
So, adding to eliminate E:
2I = 320
I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.
Since the sum of all exterior angles in a polygon = 360 degrees
- the number of sides = 360 / 20 = 18.
5x + 1 = 56
Solving 2 step equations?
Answer:
the x would equal to 11 ,so x=11
ILL GIVE U BRAINLYIST
Answer:
C a rectangle 4 by 3
Step-by-step explanation:
Please help me !!!!!!!
Answer:
C. Both (1,11) and (-1,-5)
Step-by-step explanation:
Ok so,
let's try to plug in the first ordered pair into the equation. It should look like this:
11 = 8+3
11=11 CORRECT
now let's try to plug in the second ordered pair. it should look like this:
-5 = -8+3
-5 = -5 CORRECT
hope this helps. have a good day!!
Find the product of (x − 3)2.
x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9
Answer:
The answer is number 3
Step-by-step explanation:
[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]
Answer:
answer- 3
Step-by-step explanation:
9(x−3)
2
=x
2
−6x+9
Given an integer, how do you find its opposite? Complete the explanation. Find the integer that is the same distance from _ but on the _ side of 0
Answer:
simply need to change its sign
Step-by-step explanation:
To find the opposite value of an integer you simply need to change its sign. Meaning that if a given integer is positive then you change the positive into a negative. This would give you the opposite value of that integer which is located at the same distance from 0 but on the other side of the number line. For example, the opposite value of 5 would be -5, while the opposite value of -8 would be 8
Step-by-step explanation:
Find the integer that is
the same
distance from
0
but on the
other
side of 0.
help fast please!!!!
Answer:
OK this is easy the answer is r=2.4
Step-by-step explanation:
so what you would do is simply add 3.1 and 1.7to get 4.8
then you would divide 4.8 by 2 and get r=2.4
In the following equation, when x=3, what is the value of y? -4x + 3y = 12
Answer:
The answer is y = 8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
~Hoped this helped~
~Brainly, please?~
together dien and jane eat 2/3 a pizza in 4 seconds. how long would it take each of them to eat the whole pizza alone if jane can eat a pizza 5 seconds faster than dien?
BRAINLIEST WILL BE GIVEN
Answer:
10 secs for Jane and Dien is 15 secs
Step-by-step explanation:
Using the together rate, it is found that Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are:
Dien's rate: 1/x+5.Jane's rate: 1/x.Together rate: (2/3)/4 = 1/6Hence:
[tex]\frac{1}{x + 5} + \frac{1}{x} = \frac{1}{6}[/tex]
[tex]\frac{x + x + 5}{x(x+5)} = \frac{1}{6}[/tex]
[tex]\frac{2x + 5}{x^2 + 5x} = \frac{1}{6}[/tex]
[tex]x^2 - 7x - 30 = 0[/tex]
[tex](x - 10)(x + 3) = 0[/tex]
The positive solution is x = 10, hence Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
More can be learned about the together rate at https://brainly.com/question/25159431
Your research shows that you typically receive a 24% return response from the guest satisfaction surveys you send out. How many guest satisfactions surveys will you need to send out to make certain you receive at least 300 surveys back?
Answer:
1250
Step-by-step explanation:
The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.
Calculation of the number of guest satisfaction:Since the return is received i.e. 24%
And, there are the minimum of 300 surveys
So, based on this, the no of guest satisfaction should be
[tex]= 300 \div 0.24[/tex]
= 1,750
hence, The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.
Learn more about survey here: https://brainly.com/question/22497309
B
27 m
24 m
18 m
List angles largest to smallest
Answer:27,24,18
Step-by-step explanation:
sorry if it’s wrong but I think so
From a group of 280 children, 14 made the swim team. What percent of the children is this?
PLEASE HELP, ILL GIVE BRAINLIEST
Answer:
5%
Step-by-step explanation:
14/280 is 5%. (Brainliest pls?)
Answer: I think it is 39.2 percent
Step-by-step explanation:
Ok I really don’t understand this
Please Find the area for each trapezoid, I barely have any time left please be fast
Answer:
number 2 in the left
Step-by-step explanation:
Write the unit rate for $17 for 5 cards
Answer:
$3.40 per card
Step-by-step explanation:
To find the unit rate, divide the total cost ($17) by the number of cards (5 cards):
$17
--------------- = $3.40 per card
5 cards
Answer: $3.4
Step-by-step explanation: If 5 cards cost $17
Divide 17 by 5 : 17/5
Your result will be 3.4
Meaning 1 card cost $3.4