f ( - 2 ) = 5 × 3^( - 2 )
f ( - 2 ) = 5 × 1/9
f ( - 2 ) = 5/9
if a+1/a=3
What is the answer? a⁵+1/a⁵
Answer:
123
Step-by-step explanation:
We can square and cube the equation, then multiply the results together.
(a + [tex]\frac{1}{a}[/tex]) = 3 ← square both sides
a² + 2 + [tex]\frac{1}{a^2}[/tex] = 9 ( subtract 2 from both sides )
a² + [tex]\frac{1}{a^2}[/tex] = 7 → (1)
-----------------------
Now cube both sides
a³ + [tex]\frac{1}{a^3}[/tex] + 3(a + [tex]\frac{1}{a}[/tex]) = 27
a³ + [tex]\frac{1}{a^3}[/tex] + 3(3) = 27
a³ + [tex]\frac{1}{a^3}[/tex] + 9 = 27 ( subtract 9 from both sides )
a³ + [tex]\frac{1}{a^3}[/tex] = 18 → (2)
------------------------------
Multiply (1) and (2)
(a² + [tex]\frac{1}{a^2}[/tex] )(a³ + [tex]\frac{1}{a^3}[/tex] ) = 7(18)
[tex]a^{5}[/tex] + ( [tex]\frac{1}{a}[/tex] + a) + [tex]\frac{1}{a^5}[/tex] = 126
[tex]a^{5}[/tex] + 3 + [tex]\frac{1}{a^5}[/tex] = 126 ( subtract 3 from both sides )
[tex]a^{5}[/tex] + [tex]\frac{1}{a^5}[/tex] = 123
express the ratio 7day to 6weeks as a decimal fraction
Answer:
6 weeks=6*7 days=42days
7/42 =1/6 =0.16667
OR
7 days=1 week
therefore 1/6=0.16667
Note that both must be in the same unit.
Help pleaseeeee like ASAP
Answer:
m is slope and y is the intercept
If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:
Answer:
22= 2(pi)(r)(45/360)
28.01
C=176
Step-by-step explanation:
The value of w???????
Answer:
Step-by-step explanation:
The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:
[tex]\frac{15}{18}=\frac{w}{30}[/tex] and cross multiply.
18w = 450 so
w = 25
a giraffe can run 32 miles per hour. what is this speed in feet per second?
Answer:
46.9 ft/sec
Step-by-step explanation:
A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearset tenth.
Can someone please explain how to do this?(Picture above) I'll give brainliest!
Answer:
f(1)=4
f(-3)=4
f(5)=-2
f(0)=2
f(-1)=0
f(3)=2
Step-by-step explanation:
Pose f(x) as your x value. Now apply to the graph
Please help out need explanation so I can know how to do it
Answer:
B = 60in^2
H = 4in
P = 34in
SA = 280
Step-by-step explanation:
Base - The base I assume would be the red rectangle, and 12x5 would be the area of that, so the answer is 60
Height - I assume that the height is 12, if the prism is vertical, if horizontal, then the height would be 4.
Perimeter - The length of the side lengths, so the base is the red sqaure 12+12+5+5=34
Surface Area - Base=60*4 (There are 4 "bases") =240, and then we have 5*4 (For the little squares, and times this by 2 becasue there are 2 of them) = 20*2=40
40+240=280
Lem is playing a board game and needs to roll two dice and get a six on both die in order to win the game. What is the probability that Lem will win the game on the next roll? Write your answer as a simplified fraction.
The probability of getting a 6 on one dice is 1/6
The probability of getting a 6 on both dice would be 1/6 x 1/6 = 1/36
Answer: 1/36
Please hurry I will mark you brainliest
Ingrid walks 1 m, and then turns 90° left. She repeats these steps three more times and returns to the exact place she started. Which of the following instructions can she repeat a number of times to arrive at the exact same starting point?
• Walk 1 m, and then turn 40° left.
• Walk 1 m, and then turn 55° left.
• Walk 1 m, and then turn 70° left.
• None of these
Answer:
• Walk 1 m, and then turn 40° left.
Step-by-step explanation:
Answer:
None of them
Step-by-step explanation:
None of the answers get her back to the same point in only four steps. she would need a different way of walking to get the same result as a square.
If (x + 1) is a factor of 2x - kx²-8x + 5, find the value of k.
[ Using Factor Theorem ]
Answer:
k = 11
Step-by-step explanation:
What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x = - 1
f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5
f(-1) = -2 - k(1) + 8 + 5 = 0
-k*(1) + 11 = 0
-k = -11
k = 11
Find the value of x.
B
10-X
3
D
х
2.
A
С
x = [?]
Answer:
3/(10-x) = 5/(10-x+x)
3/(10-x) = 1/2
6 = 10-x
x = 4
Hope this helps!
A tank is capable of holding 36,18 and 72 litres of milk . Determine which is the greatest vessel which can be uses to fill each one of them on exact number of times
Answer:
Greatest vessel to fill each in exact number of times is 6 litres
Step-by-step explanation:
To solve this, we will find the greatest common factor of 36,18 and 72
Thus;
Their prime factors are;
18: 2, 3
36: 2, 2, 3, 3,
72: 2, 2, 2, 3, 3
The factors common to all of them are 2 & 3.
Thus;
GCF = 2 × 3 = 6
Solve the equation for all values of x.
-x(x – 8)(x² + 25) = 0
From deltamath.com
Answer:
x=0 , x=8 , x = ±5i
Step-by-step explanation:
-x(x – 8)(x² + 25) = 0
Using the zero product property
-x =0 x-8 =0 x^2+25 =0
x =0 x= 8 x^2 = -25
x=0 x= 8 sqrt(x^2) = sqrt(-25)
x = ±5i
YujiC this is incorrect
5x and -4x
Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...
5x and -4x
Answer: 5x and -4x
Step-by-step explanation:
= 5x + (-4x)
= 5x -4x
= +x
= 5x × (-4x)
= -20x²
please click thanks and mark brainliest if you like :)
Which of the following phrases are inequalities?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
5=\dfrac{55}{11}5=
11
55
5, equals, start fraction, 55, divided by, 11, end fraction
(Choice B)
B
-2<2\text{}−2<2minus, 2, is less than, 2, start text, end text
(Choice C)
C
10-6q10−6q10, minus, 6, q
(Choice D)
D
7w>5.6\cdot 10^{4}7w>5.6⋅10
4
7, w, is greater than, 5, point, 6, dot, 10, start superscript, 4, end superscript
(Choice E)
E
f-4-7>7-4-ff−4−7>7−4−f
Answer:
B,D, and E
Step-by-step explanation:
Yes
Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?
The equation has one zero because the discriminant is 1.
The equation has one zero because the discriminant is a perfect square.
The equation has two zeros because the discriminant is greater than 0.
The equation has no zeros because the discriminant is not a perfect square.
Answer:
The equation has two zeros because the discriminant is greater than 0.
Step-by-step explanation:
3x^2 – 7x + 4
a=3 b = -7 c=4
The discriminant is
b^2 -4ac
(-7)^2 - 4(3)(4)
49 - 48
1
Since the discriminant is greater than zero, there are two real solutions
Answer:
The equation has two zeros because the discriminant is greater than 0.
Step-by-step explanation:
The Coffee Counter charges $11
per pound for Kenyan French Roast coffee and $10
per pound for Sumatran coffee.
How much of each type should be used to make a 20 pound blend that sells for $10.60
per pound?
Answer:
12 pounds of Kenyan French Roast coffee
8 pounds of Sumatran coffee
Step-by-step explanation:
if you use x pounds of Kenyan French Roast coffee and y pounds of Sumatran coffee then you know that
11x + 10y = 10.6 * 20
x+y=20
10x+10y=200
11x+10y=212
x=12
y = 20-x = 20-12 = 8
so you want to use
12 pounds of Kenyan French Roast coffee
8 pounds of Sumatran coffee
Evaluate 5⁰-5¹ in positive index form
Step-by-step explanation:
5⁰ - 5¹ = -4¹
(1/3)^‐1 + 2^-1 = 3 + 1/2 = (7/2)¹
Answer: -5
Step-by-step explanation: 5^0 is 0 and 5^1=5
0-5=-5
if 1cm on a map represents 37 1/2 km what does a length of 2/5cm on the map represent
Answer:
15
Step-by-step explanation:
[tex]37 \frac{1}{2} \times \frac{2}{5} = \frac{75}{2} \times \frac{2}{5} = 15[/tex]
Factor 16p4 - 24p3. find the factor
Answer:
8p^3 ( 2p -3)
Step-by-step explanation:
16p^4 - 24p^3
8*2* p^3 *p - 3*8*p^3
Factor out the common terms
8p^3 ( 2p -3)
evaluate each expression below
Answer:
see below
Step-by-step explanation:
0/7 = 0
We can divide 0 by a non zero number
5/0 = undefined
We cannot divide by 0
Divide...................
Answer:
Exact form 9/4 Mixed number form 2 1/4 decimal form 2.25
Step-by-step explanation:
Answer:2.25
Step-by-step explanation:
hope this helps
5. Solve each of the following quadratic equations using the Quadratic Formula (Express all roots as integers or as real numbers rounded to one decimal place)
a) 2x2 – 3x - 10 = 0
b) 3x2 - 8x + 4 = 0 (answer pls:)
Hope made 3 different yo-yo's. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string
Answer:
See explanation
Step-by-step explanation:
Your question is different from the attachment
Statement 1
1 adult + 5 Children
$4 for adult and total of $16 for both adult and children
Let
Cost of children skating = x
The equation is
4 + 5x = 16
Statement 2:
Cost of making a bike bag= $4
Selling price of the bike bag = $5
Profit = $16
Let x = number of bike bag
Profit = selling price - cost price
16 = 5x - 4x
16 = x(5 - 4)
Also written as
(5 - 4)x = 16
Statement 3:
Initial temperature = 16°C
Change in temperature per hour = 4°C
Final temperature = 5°C
Let
x = number of hours it changes
16 - 4x = 5
Hope made 3 different yo-yos. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string for the second yo-yo, and a total of meters of string 4 1/3
length of first yo-yo = 1 3/4
length of second yo-yo = 1
Length of third yo-yo = x
Total = 4 1/3
Total length = length of first yo-yo + length of second yo-yo + length of third yo-yo
4 1/3 = 1 3/4 + 1 + x
4 1/3 = 2 3/4 + x
4 1/3 - 2 3/4 = x
13/3 - 11/4 = x
(52-33) / 12 = x
19/12 = x
x = 1 7/12
If m={prime integers between 1 and 11}
N={Factor of 12} find
1. MuN
2.MnN
M = {2, 3, 5, 7} (and possibly includes 11 if "between x and y" means to include both x and y)
N = {1, 2, 3, 4, 6, 12}
Then
M U N = {1, 2, 3, 4, 5, 6, 7, 12}
(or possibly {1, 2, 3, 4, 5, 6, 7, 11, 12})
M ∩ N = {2, 3}
Determine what type of model best fits the given situation: the temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. liner
B. exponential
C. quadratic
D. none of these
Answer: T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
Explanation: This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
A team of 5people to be selected from 7women & 6men. Find the number of different teams that could be selected if there must be more women than men in the team
Answer:
1246 teams
Step-by-step explanation:
We are told there are 7women & 6men.
If 5 people are selected and there must be more women than men in the team.
This means there must be a minimum of 3 women.
Thus;
For 3 women;
7C3 × 6C2 = 525
For 4 women;
7C4 × 6C3 = 700
For 5 women;
7C5 × 6C0 = 21
Thus;
Total = 525 + 700 + 21 = 1246 teams
The seating capacity at a movie theater is 400. For a Monday
afternoon movie, 68% of the seats are filled. About how many
seats are empty?
-.- sorta need this answer quickly, thanks
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
1)
-2x - 5 = x - 17
-2x - 5 + 5 = x - 17 + 5
* cancel out 5 on each side of equal sign.
2)
-2x = x - 12
-2x - x = x - x - 12
* cancel out x on each side of equal sign.
3)
-3x = -12
-3x/ -3 = -12/-3
* cancel out -3x on each side of equal sign.
4) Simplify
x = 4
Hope this helps, good luck! :)
Have a great day!!
