F(n)=2n+5. Find the 5th term in the sequence
Answer:
15
Step-by-step explanation:
[tex]F(n)=2n+5[/tex]
[tex]F(5) = 2(5)+5[/tex] (substitute 5 in to get the 5th term)
[tex]=10+5[/tex]
[tex]=15[/tex]
∴ The 5th term of the sequence is 15
A platter holds 24 strawberries, 2 apples, and 16 are oranges. What fraction of all the fruit are strawberries? What fraction are apples? What fraction are oranges?
Answer:
strawberries are 24/42 apples are 2/42 and oranges are 16/42
Step-by-step explanation:
Trust me i did these same exact problems!!!
Also mark me brainly if this helped!!! :)
The fraction for strawberries is 12/21, the fraction for apples is 1/21, and the fraction for oranges is 8/21.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A platter holds 24 strawberries, 2 apples, and 16 are oranges.
The total number of fruits = 24 + 2 + 16
The total number of fruits = 42
The fraction for strawberries = 24/42 = 12/21
The fraction for apples = 2/42 = 1/21
The fraction for oranges = 16/42 = 8/21
Thus, the fraction for strawberries is 12/21, the fraction for apples is 1/21, and the fraction for oranges is 8/21.
Learn more about the fraction here:
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Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same number of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.
Answer:
5
Step-by-step explanation:
just do 20 divided by 4 and you will get 5. Also, do 5x4 to make sure you let your teacher know that you got the right answer.The expression in one variable b that shows the number of beads on each necklace is (b-20)/4
What is an expression in one variable?An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .
Standard form of linear expression in one variable x is ax +b , where a and b are constants .
Given that Liam has a bag of b beads
He gave 20 beads to his sister
Then, remaining beads = b -20
Remaining beads are used to make 4 necklaces
Let the beads on each necklace be x
Then beads in four necklaces = 4x
As, Remaining beads = beads in four necklaces
⇒4 x = b - 20
Dividing the equation by 4 on both sides
⇒ x = (b-20)/4
∴ The expression that shows the number of beads on each necklace is (b-20)/4
Also, Learn more about the expressions in one variable from the link below:
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What is the volume of a cone with a diameter of 10 cm at the base and a height of 20 cm? Use 3.14 for pie. Round to the nearest 10th of cubic centimeters.
Round off 13,486 to the nearest hundred.
Answer:
13,500
Step-by-step explanation:
Answer: 13,500
Step-by-step explanation:
So the 4 is in the hundred place than u look to the right where the next digit is which is 8. If its 5 or more u round up but if its 5 or less it stays the same. So 8 is 5 or more than u round up the 4 to 5 and leave the rest of the digit 0's. but u leave the 13 the same. If that makes sense.
-12 is greater or equal to 3x
Answer:
x is greater than -4
Step-by-step explanation:
divide both sides by 3
Step-by-step explanation:
.
Help pleaseeeeeeeeeee
A. Quadrant I
B. Quadrant I
C. Quadrant II
D. Quadrant III
(a) The weight of a package affects the cost to send that package through the mail.
Which is the dependent variable?
weight of package
cost to mail package
Answer:
cost to mail package
Step-by-step explanation:
the weight is not dependant on the cost to mail the package
the cost depends on how much the package weighs.
TRUE or FALSE; Quadratic Equations' graphs take the form of V's.
Answer:
False, they take form of a U shape
Which shows the correct solution to the inequality To 21 +22
10
218 +p
7
10
5
-
1
-1
28 25
40 40
2p
3
ps-1
40
7 5
10
21+
7
-1
10
g+p
28 25
- 1
40
40 20
02-13
Mark this and return
Ne
SE
Answer:
C
Step-by-step explanation:
the answer is C !!!!!!!!!!!!!!!
Find the solutions to the equation below 9x^2 -81=0
Step-by-step explanation:
=
−
±
2
−
4
√
2
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
9
2
−
8
1
=
0
9x^{2}-81=0
9x2−81=0
=
9
a=
a=9
=
0
b={\color{#e8710a}{0}}
b=0
=
−
8
1
c={\color{#129eaf}{-81}}
c=−81
=
−
0
±
0
2
−
4
⋅
9
(
−
8
1
)
√
2
⋅
9
x=2⋅9−0±02−4⋅9(−81)
(-1,4) and (1,-1) find the distance
Answer:
Step-by-step explanation:
can someone pleaseeeee help with this
Answer:
no solution or the empty set
Step-by-step explanation:
3(x-2)+1≥x+2(X+2)
3x -6+1≥x+2x+4 distribute
3x-5≥3x+4
0≥9 not a true statement, no solution
Which product is equal to 4?
A.4x11/10
B.4x2/3
C.4x5/8
D.4x5/5
Answer:
D
Step-by-step explanation:
5/5 = 1 so 4 times 1 is four
The greatest common factor of 4xy and -6xy
Answer:
The greatest common factor is 2x
which shape is similar to shape l?
Answer:
pentagon
Step-by-step explanation:
got 5 sides
what are the common denominator for 2/3 and 5/12 ?
Answer: 12, 24, 36, 48, and it just keeps going
Step-by-step explanation:
Answer:
12/24, and 36/48ths.
Step-by-step explanation:
rewrite em
The supermarket has 48 aisles. 12 of the aisles are empty. What percentage of the aisles are empty
Answer:
25% of the isles are empty
Step-by-step explanation:
48/12 is 25%
Answer:
25%
Step-by-step explanation:
12 + 12 + 12 + 12= 48
if 12 isles are empty, then that is 1/4 of 48 aka 25%
Molly is painting her bedroom walls, and the paint costs $24 per gallon. How much does the paint cost per quart?
$3 per quart
$6 per quart
$48 per quart
$96 per quart
$6 per quart.
A quart is 1/4 of a gallon.
Answer:
$6 per quart
Step-by-step explanation:
Since we are trying to find out how much money a quart of paint will cost, we need to find out how many quarts are in one gallon.
There are 4 quarts in a gallon, therefore we take $24 divided by 4 and get $6 per quart.
72 times what gives you 6834
Answer:
94.917
Step-by-step explanation:
6834/72 = 94.916666
-qx + p = r. Slove for X.
Answer:
x=-r-p/q
Step-by-step explanation:
help. please. i have to type 20 things.
Answer:
Top Left: Acute Top Right: Acute Bottom Right: Obtuse Bottom Left: Right
Step-by-step explanation:
The top left and right have all angles less than 90 degrees which makes them acute. The Bottom right has an angle over 90 degrees which makes it obtuse, and the last one has a right angle 90 degrees.
Write the slope intercept form of the equation of the line through the given points.
through: (-4,2) and (0,3)
y= 3x +1/4
y= -5/4x +3
y= 1/4x +3
y= -1/4x +3
Answer:
y= 1/4x + 3
Step-by-step explanation:
Answer:
y= 1/4x +3
Step-by-step explanation:
I used a graph
G
Which number line can be used to find the distance between (-1, 2) and (-5, 2)?
--7-6-5
-3-2
0
1
2
3
-2 -1 0
1
2
3
5
6 7
8
-7 -6 -5 4 3 - -
0 1
2
3
1
2
3 4 5
9514 1404 393
Answer:
see below
Step-by-step explanation:
The y-coordinates of the points are the same, so the distance between those points will be the difference of the x-coordinates. The first number line shows those x-coordinates plotted properly. It can be used to find the difference between them.
Jake dives from a diving board that is 18 feet off the ground. He reaches a maximum height of 26 feet after 2 seconds. What is the standard and vertex formula of this quadratic equation and in how many seconds with Jake hit the water?
Answer:
The time it will take Jake to hit the water ia approximately 4.46 seconds
Step-by-step explanation:
The given parameters in the question are; feet
The height off the ground, of the diving board from which Jake dives, h₀ = 18 feet
g = The acceleration due to gravity
The maximum height Jake reaches, h = 26 feet
The time Jake takes to reach maximum height = 2 seconds
We have;
h = h₀ + u·t + 1/2·g·t²
v² = u² - 2·g·(h - h₀)
v = u - gt
u = gt
Where;
v = The final velocity
u = The initial velocity
t = The time taken
u = 9.81 × 2 = 19.62 m/s
The vertex form of a quadratic equation is f(x) = a(x - h)² + k², with the vertex = (h, k)
Substituting the values, gives;
26 = 18 + u·t - 1/2 × 9.81 × t²
8 = 19.62·t - 1/2 × 9.81 × t² = 19.62·t - 4.905·t²
19.62·t - 4.905·t² - 8 = 0
Therefore, the standard form is -4.905·t² + 19.62·t - 8 = 0
The coordinate of the vertex, is (2, 8), the vertex form is therefore;
-4.905(t - 2)² + 8
2) The time it will take Jake to hit the water is given as follows;
The height at which Jake meets the water = -18 feet from initial height
∴ -4.905·t² + 19.62·t - 8 = -18
-4.905·t² + 19.62·t - 8 + 18 = 0
-4.905·t² + 19.62·t + 10 = 0
t² - 4·t - 2.04 = 0
By the quadratic formula, we have;
t = (4 ± √((-4)² - 4 × 1 × -2.04))/(2×1)
t ≈ 4.46 seconds or t ≈ -0.46 seconds
∴ t ≈ 4.46 seconds
The time it will take Jake to hit the water ≈ 4.46 seconds.
The sum of two numbers is less than 10. If we subtract the second number from the first, the difference is greater than 3
Answer:
im stuck
Step-by-step explanation:
What are all the ways to multiply
Answer:
multiplying :v
Step-by-step explanation:
................
which of the following pairs of functions are inverses of each other
Answer:
c would be the answer you are looking for and please mark brainliest
Step-by-step explanation:
Options A and D have functions that are inverses of each other.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To check whether two functions are inverses of each other, we need to check if the composition of the functions in both orders results in the input value.
Here, we need to check if f(g(x))=x and g(f(x))=x for all values of x in their domains.
A. f(x) = 7/(x-9) and g(x) = (x+9)/7
f(g(x)) = f((x+9)/7) = 7/((x+9)/7 - 9) = 7/(x/7) = x, so f and g are inverses of each other.
B. f(x) = x/6 + 8 and g(x) = 6x - 8
f(g(x)) = f(6x-8) = (6x-8)/6 + 8 = x/6 + 8/6 = x/6 + 4/3, which is not equal to x. Therefore, f and g are not inverses of each other.
C. f(x) = 2 + ∛x and g(x) = 2 - x³
f(g(x)) = f(2 - x³) = 2 + ∛(2 - x³) ≠ x, so f and g are not inverses of each other.
D. f(x) = 5x - 11 and g(x) = (x+11)/5
f(g(x)) = f((x+11)/5) = 5((x+11)/5) - 11 = x, and g(f(x)) = g(5x-11) = (5x-11+11)/5 = x/5, so f and g are inverses of each other.
Therefore, only options A and D have functions that are inverses of each other.
Learn more about inverse functions here:
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Help me out please its with triangles and stuff
Answer:
11 in = 33 in.
Step-by-step explanation:
6 in. = 18 in.
the second triangle is 3 times bigger than the smaller one.
what the the answer to 36 = 18x
Answer:
Step-by-step explanation:
C=2