Answer:
0.14
Step-by-step explanation:
To get this, you need to divide the number by a 100.
14/100 = 0.14
Therefore 14% is 0.14 as a decimal.
Hope that helped! :)
Here are the first four terms of a quadratic sequence.
The nth term of this sequence is an² + bn + c.
1, 11, 27 and 49
Find the values of a, b and c.
Answer:
a = 3, b = 1, c = - 3
Step-by-step explanation:
Substitute n = 1, 2, 3 into the n th term
a + b + c = 1 → (1)
4a + 2b + c = 11 → (2)
9a + 3b + c = 27 → (3)
Subtract (1) from (2) term by term to eliminate c
Subtract (2) from (3) term by term to eliminate c
3a + b = 10 → (4)
5a + b = 16 → (5)
Subtract (4) from (5) term by term to eliminate b
2a = 6 ( divide both sides by 2 )
a = 3
Substitute a = 3 into (4) and evaluate for b
3(3) + b = 10
9 + b = 10 ( subtract 9 from both sides )
b = 1
Substitute a = 3, b = 1 into (1) and evaluate for c
3 + 1 + c = 1
4 + c = 1 ( subtract 4 from both sides )
c = - 3
Then a = 3, b = 1 and c = - 3
The measure of a, b and c is 3, 1 and - 3 respectively.
What is a quadratic sequence?A quadratic sequence is a sequence whose nth term is given by the general formula -
A{n} = an² + bn + c.
Given are the 4 terms of the quadratic sequence as 1, 11, 27 and 49.
Now, we can the following equations as -
A{1} = a + b + c = 1
a + b + c = 1
c = 1 - a - b ........ Eq[1]
A{2} = 4a + 2b + c = 11
4a + 2b + c = 11
c = 11 - 4a - 2b ........ Eq[2]
A{3} = 9a + 3b + c = 27
9a + 3b + c = 27
c = 27 - 9a - 3b ........ Eq[3]
A{4} = 16a + 4b + c = 49
16a + 4b + c = 49
c = 49 - 16a - 4b ........ Eq[4]
Equate Eq[1] and Eq[2] -
1 - a - b = 11 - 4a - 2b
1 - 11 = - 4a - 2b + a + b
- 10 = - 3a - b
3a + b = 10 ........... Eq[5]
Equate Eq[3] and Eq[4] -
27 - 9a - 3b = 49 - 16a - 4b
- 9a - 3b + 16a + 4b = 49 - 27
7a + b = 22 .......... Eq[6]
We can write -
7a + 10 - 3a = 22
4a + 10 = 22
4a = 12
a = 3
and
b = 10 - 3a
b = 10 - 9
b = 1
At last -
c = 1 - a - b
c = 1 - 3 - 1
c = - 3
Therefore, the measure of a, b and c is 3, 1 and - 3 respectively.
To solve more questions on quadratic sequence, visit the link below -
https://brainly.com/question/22412845
#SPJ2
HELP HELPPPPP WILL MARK BRAINLIEST
create a reciprocal function that has been translated left 2 units and up 4 units
Ocsar and his little brother made up a game using coins. They flip the coin towards a cup and receive points for every one that makes it in. Oscar starts with 20 points, and his little brother starts with 18 points. Oscar gets 2 points for every successful shot, and his brother, since he is younger, gets 3 points for each successful shot. Eventually, the brother will have a tied score in the game. How many additional shots will each brother have made? How many points will they both have?
they both would have 24
they both would have 2 successful shots. they would mean that the older brother added 4 point to his score and the younger brother would have added 6 to his score
2( t- 7) = -4
help meeee plss
Answer: t=5
Step-by-step explanation:
What is sin R ?I have no idea how to solve
n (not sure)
Step-by-step explanation:
Is this correct or no
Answer:
Incorrect
Step-by-step explanation:
The correct answer is A.
The slope-intercept form is y-y₁=m(x-x₁)
The problem with B is that if you take out the coordinates for x₁ and y₁, you get the coordinates (1,4). This coordinate does not land on the line.
The coordinates for A is (-1,4). This point does land on the line.
What is the equation of the line that passes through the point (5, -2) and has a slope of 6/5
Answer: y = (6/5)x-8
Slope = 6/5 = 1.2
Y intercept = -8
==================================================
Work Shown:
m = 6/5 = 1.2 is the given slope
(x,y) = (5,-2) is the point the line goes through
y = mx+b .... slope intercept form
y = 1.2x + b .... plug in the given slope
-2 = 1.2*5 + b ... plug in the coordinates of the given point
-2 = 6 + b
-2-6 = 6+b-6 .... subtracting 6 from both sides
-8 = b
b = -8
The equation y = mx+b turns into y = 1.2x-8
This is equivalent to y = (6/5)x-8
-7 + (-9) - (-11) -2
11.
10. The points (2, 4) and (-2,-4) are plotted on the
coordinate plane using the equation y=a.x.
How can you use the coordinates to find the
value of a?
..
Answer: 2
Step-by-step explanation: use the slope formula y2-y1/x2-x2
-4-4/-2-2=-2
(both equations above should be fractions when read)
7(3-x)=-7(x+3)-4 one solution, no solution or infinite solutions
Answer:
No solution
Step-by-step explanation:
(7)(3)+(7)(−x)=(−7)(x)+(−7)(3)+-4
21+−7x=−7x+−21+−4
−7x+21=(−7x)+(−21+−4)
−7x+21=−7x+−25
−7x+21=−7x−25
−7x+21+7x=−7x−25+7x
21=−25
21−21=−25−21
0=−46
Can someone help me
SOMEONE HELPI'LL GIVE CROWN
Answer:
[tex] \boxed{ \: company : B : \: } \\ \underline{ \boxed{ has \: a \: proportional \: relationship}} [/tex]
Step-by-step explanation:
[tex]let \: company : A : weight \: and \: cost\: be \to \: w_A \: and \:c_A \\ let \: company : B : weight \: and \: cost\: be \to \: w_B \: and \:c_B \\ \underline{\boxed{ \: company : A : \:} } \\ if \to \: c_A \infty w_A \\ c_A = k w_A \\but \to : \\ k = \frac{c_A}{w_A} = \frac{10.55}{1} \not= \: \frac{10.85}{2} \not= \frac{11.15}{3} \\ therefore \to : \\ \boxed{ \: company : A : \: } \\ \underline{ \boxed{ has \: no \: proportional \: relationship}} \\ \\ \underline{\boxed{ \: company : B : \:} } \\ if \to \: c_B \infty w_B \\ c_B = k w_B \\but \to : \\ k = \frac{c_B}{w_B} = \frac{2.75}{1} = \frac{5.5}{2} = \frac{8.25}{3} = 2.75 \\ hence \to : \\ \boxed{ \: company : B : \: } \\ \underline{ \boxed{ has \: a \: proportional \: relationship}} [/tex]
What should you do to each side of the equation to solve -32+x=53?
Answer: c. add 32
Step-by-step explanation:
Answer:
add 32
Step-by-step explanation:
it will solve for x
Please answer this question
Answer:
3/100
Step-by-step explanation:
1 m = 100 cm
Scale factor = 3/100
Hope it helps you
Answer:
the answer would be 3/100
-\dfrac{16}{5},8,-20,− 5 16 ,8,−20,minus, start fraction, 16, divided by, 5, end fraction, comma, 8, comma, minus, 20, comma
Answer:
50
Step-by-step explanation:
Correct question
-16/5, 8, -20. What is the next term of the geometric sequence.
The nth term of a geometric sequence is expressed as:
Tn = ar^n-1
From the sequence:
a is the first term = -16/5
n is the number of term = 4(since next term is 4th term
r is the common ratio = (8)÷(-16/5) = 8×-5/16
r = -5/2
Substitute the given values into the formula
T4 = -16/5(-5/2)^4-1
T4 = -16/5(-5/2)³
T4 = -16/5×-125/8
T4 = -16/8×-125/5
T4 = -2×-25
T4 = 50
Hence the next term is 50
Answer:
Step-by-step explanation:
ill give a brainest no cap plz actually help
Step-by-step explanation:
Amount borrowed=400
interest rate=4%
Amount of interest after x years =0.04XxX400=$16x
Total to be paid back=400+0.04XxX400=400+16(1)
1) the amount of interest.if Franco pays back the loan in x=1 years is
16x1=$16
2) the amount of interest,if Franco pay back the loan in x=2 years is,
16x2=$32
3) the amount of franco will pay the lender after 2 years will be
400+(16x2)=400+32=$432
is two a prime number?
Answer:
yessirr
Step-by-step explanation:
Answer:
yes
2,3,5,7,11,13,17,19,23 and so on
Identify the similar triangle to the triangle shown. 8 40 A) 5 14 B) 11 49 C) 1 5 D) 5 12
Answer:
C 1 5
Step-by-step explanation:
that's ur answer I hope it's correct
owen and needed to get his computer fixed he took it to the repair store the technician at the store worked on the computer for 5.5 hours and charged him $70 for parts the total is $702.50 what was the total cost of labor per hour
To figure out this problem, let's set up an equation first to make it easier:
702.50 = 5.5x + 70
x = amount charged per hour
702.50 = 5.5x + 70
-70 -70
-----------------------------
632.5 = 5.5x
/5.5 /5.5
--------------------
115 = x
Owen was charged $115 per hour
Write a multiplication equation that represents the question: how many 3/8 are in 5/4
Answer:
3 1/3
Step-by-step explanation:
First you make the denominators the same so you would change 5/4 to 10/8
and 3 X 3 1/3 gets you 10/8
To which graph does the point (2, 4) belong? (1 point)
Answer: you didnt show any graphs but it should be plotted like this
Step-by-step explanation:
-7(x+5) =21
apply the distributive property and simplify
Answer:
x=−8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7(x+5)=21
(−7)(x)+(−7)(5)=21(Distribute)
−7x+−35=21
−7x−35=21
Step 2: Add 35 to both sides.
−7x−35+35=21+35
−7x=56
Step 3: Divide both sides by -7.
−7x/−7 = 56/−7
x=−8
Answer:-
Distributed: -7x+(-35)=21 Simplified: x=-8
Step-by-step explanation:-
Distributed:
-7(x+5)=21
(x*(-7))+(5*(-7))=21
-7x+(-35)=21
Simplified:
-7x-35=21
-7x=21+35
-7x=56
x=-8
Seven times the sum of a number and 3 is 9.
EASY PROBLEM AND WILL GIVE BRAINLIEST
Jesse owns a sporting goods store that sells skis and snowboards. The store earns a profit of $52 for each ski sold and a profit of $64 for each snowboard sold. If Jesse's store sells a total of 83 pairs of skis and snowboards and earns a profit of $4892 in November, how many pairs of skis and snowboards did the store sell that month
Answer:
9
Step-by-step explanation:
I multiply 52 and 83 and get 4316. 4892 - 4316 is 576. 576 divided by 64 is 9!
Answer: they sold 35 skis and 48 snowboard
Step-by-step explanation:
52 x 35 = 1820
64 x 48 = 3072
1820 + 3072 = 4892
A small university enrolls in-state and out-of-state students. The number of students enrolled in their most recent freshman class was 243. The school reported that it enrolled 7 in-state students for every 2 out-of-state students. How many of each type of student was enrolled in the freshman class?
Answer:
Step-by-step explanation:
A utility pole is 24 feet tall and its shadow is 45 feet long. A nearby water tower is 32 feet tall. How long is the water tower's shadow?
Answer: The tower's shadow is 60 feet long.
Step-by-step explanation:
We can use a ratio to solve this:
24/45 = 32/x
Cross multiply: (Numerator of left side times the denominator of right side, and denominator of the left side by numerator of right side.)
24x = 32(45)
24x = 1440 divide both sides by 24
x = 60
7 Which of following equations represents the
relationship shown in the graph below?
a. y = .2x
b. y = x + 12
50
45
40
35
30
25
20
15
10
5
c. y = 3x
d. y = 5x
1 2 3 4 5 6 7 8 9 10
Answer:
y=5x
Step-by-step explanation:
slope =5
y intercept= 0
Find the slope of the ordered pairs (2,5) (4,13)
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{13 - 5}{4 - 2} \\ = \frac{8}{2} = 4[/tex]
78% of 50 is what number
Answer:n I got this 64.102564102664.1025641026
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
So do this equation in your head.
Or Write It Down.
50 x 0.78
And Multiply it from there.
So I hope it helps.