Write 43.75 as a reduced fraction.
Answer: 43 3/4
Step-by-step explanation:
Reduce means simplify
43.75= 43 75/100
you can dive each side of 75 and 100 by 5
it will get you to 43 15/20
again it is not reduced dived by five once more
it will get you to 43 3/4
Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria doubled each day—from 5 to 10, then from 10 to 20, and so on.
Is the population of bacteria a function of the number of days? Explain your reasoning.
Answer: Yes, this is a function, and the function is:
population = y = f(d) = 5*(2)^d
Step-by-step explanation:
If the population doubles each day, we will have an exponential growth, that can be written as
f(d) = A*(r)^d
Where:
A is the initial population. (in this case 5)
r is the rate of growth.
d is our variable, in this case the number of days
then:
f(d) = 5*(r)^d
such that:
f(0) = 5*(r)^0 = 5
after one day, we should have the double of 5, this is 10:
f(1) = 10 = 5*(r)^1 = 5*r
10 = 5*r
10/5 = r
2 = r
Then the equation that tells the population of bacteria is:
y = f(d) = 5*(2)^d (at least for the first four days, we do not know what happens after that)
Is the population of bacteria a function of the number of days?
Yes, this is a function because for each input d, we have only one output y.
what is the exact value of cos(c+d), given sin c=24/25 for c in quadrant 2 and cos d=-3/4 for d in quadrant 3
Answer:
1 3/100
21-24squareroot7/100
21
=24squareroot7/100
Step-by-step explanation:
Answer: d or 21+24square root 7 over 100
Step-by-step explanation:
Let $P$ be the set of $42^{\text{nd}}$ roots of unity, and let $Q$ be the set of $70^{\text{th}}$ roots of unity. How many elements do $P$ and $Q$ have in common
Answer:
The answer to the given question can be defined as follows:
Step-by-step explanation:
[tex]\to GCF(42, 70) = 7[/tex]
Therefore, the common roots of unity were
[tex]\to e^{\pm i 2\pi \frac{k}{7}}\\\\\ where \\ \\ k=0,1,...... 6[/tex]
That's why the answer is 14 for these
Two number cubes are rolled. Each number cube is labeled 1 through 6. What is the probability that both number cubes land on 1? O A 1 36 O B. 1 Ос. OD 6
Answer: a or b
Step-by-step explanation:
Answer:
It is A: 1/36
Step-by-step explanation:
With one cube the probability for it to land on 1 is 1/6. But when you add another cube in there you are multiplying the 1/6 by 2 which gives you 1/36
Please answer !!!!! Will give brainliest!!!!
I need help solving 7 = s + 1.75?
Answer:
5.25
Step-by-step explanation:
7 - 1.75 = 5.25
Answer:
s = 5.25
Step-by-step explanation:
7 = s + 1.75
Subtract 1.75 from both sides.
7 - 1.75 = s + 1.75 - 1.75
5.25 = s
If a ÷ b = 2 and b ÷ c =3/4, what is the value of c ÷ a? Express your answer as a common fraction.
Thx guys!
Answer:
a/b = 2
so , a = 2b
b/c = 3/4
so , c = 4b/3
c/a = (4b/3) / 2b
which gives 2/3
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{b}{c} = \frac{3}{4} \\ 3c = 4b \\ c = \frac{4b}{3} [/tex]
[tex] \frac{a}{c} = 2 \\ a = 2b[/tex]
Ashley competes 36 sit-ups in 2 minutes. What is the unit rate?
Answer:
18 sit up is the unit rate
Antonio rented a bike from Alberto's Bikes. It cost $11 plus $4 per hour. If Antonio paid
$31, then she rented the bike for how many hours?
Answer:
5 hours
Step-by-step explanation:
31-11 = 20
20/4 = 5
In 2016, the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold? *
Answer:
$1320
Step-by-step explanation:
Given data
Cost of two ounces =$2,640
Let the cost of one ounce be x
So if 2 ounces cost $2,640
1 ounces will cost x
Cross multiply
2x=$2,640
Divide both sides by 2
x=$2,640/2
x=$1320
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-4,-5)and (8,-9)
Answer:
y = 3x - 13
Step-by-step explanation:
slope of line segment is -1/3 so a segment perpendicular to this would need a slope of 3
the midpoint for the segment is (2, -7); midpoint formula is [([tex]x_{1}[/tex]+[tex]x_{2}[/tex]/2), ([tex]y_{1}[/tex]+[tex]y_{2}[/tex]/2)]
using slope of 3 and point (2, -7) we can plug into y = mx + b
-7 = 3(2) + b
-7 = 6 + b
b = -13
Help pls !!!!!!!!!!!!!!!
Answer:
8,64,216,512
Step-by-step explanation:
I will give brainliest to who ever answers first
Answer:
Y= x times -2
Step-by-step explanation:
it just is, look at the others online
Answer:
y=-2x
Step-by-step explanation:
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? Write your answer as just a number rounded to the nearest tenths, no units.
Answer:
If no units then find the square of 135 to get the answer
Step-by-step explanation:
PLSSS HELP ASAP
solve questions 1-5 please
#1. 4x^2 + 17 - 15 = 0
Use the roots given, and plug them in to a factored form. Then, foil! It can also be helpful to multiply the equation to get rid of decimals/fractions.
(x - 3/4)(x + 5) = 0
x^2 - 3/4x + 5x - 3 3/4 = 0
x^2 + 4.25 - 3.75 = 0 (multiply everything by 4)
4x^2 + 17 - 15 = 0
#2. y = 0, -4
Both 4y^2 and 16y contain a 4 in the coefficient and a y in the variables. Therefore, we can factor out a 4y from each.
4y(y + 4) = 0
Then, set both parts of the factored equation equal to 0.
4y = 0
y = 0
y + 4 = 0
y = -4
#3. a = 0, -3
Both 6a^5 and 18a^4 contain a 6 in the coefficient and an a in the variables. Therefore, we can factor out a 6a^4 from each.
6a^4(a + 3) = 0
Then, set both parts of the factored equation equal to 0.
6a^4 = 0
a = 0
a + 3 = 0
a = -3
#4. x = -8
We are looking for two terms that multiply to equal a * c, and add up to equal b. We know that 8 + 8 = 16, and 8 * 8 = 64. There are no negatives in this equation, therefore both signs in our factored form are positive.
(x + 8)(x + 8) = 0
x + 8 = 0
x = -8
#5. x = -8, 8
First, subtract 64 from both sides. The key word here is 'factoring.' If this was not present, there is a different way (which may be easier for some).
x^2 = 64
x^2 - 64 = 0
Next, use the difference of two squares property to factor (x - c)(x + c), and set the two binomials equal to 0.
(x - 8)(x + 8) = 0
x - 8 = 0
x = 8
x + 8 = 0
x = -8
Hope this helps!! :)
Ok so Um.help me plz
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
wow..not so good.. :D Janet
18 + 42 = 60 total question
what percent of 60 is 18 then
18 / 60 = .30*100 = 30% :)
PLEASE HELPPP
Which triangles are similar? Which sides are proportional?
Answer:
Triangle CBB1 and Triangle CAA1 are similar and line B to B1 and line A to A1 are proportional.Step-by-step explanation:
Answer:
ΔAC[tex]A_{1}[/tex] ≈ Δ[tex]B_{1}[/tex]CB
Step-by-step explanation:
proportional sides:
AC ≈ [tex]B_{1}[/tex]C
C[tex]A_{1}[/tex] ≈ CB
A[tex]A_{1}[/tex] ≈ B[tex]B_{1}[/tex]
evaluate the expression 3x+5 when x=10
Answer:
35
Step-by-step explanation:
3(10)+5
35
Answer:
35
Step-by-step explanation:
[tex]3x+5[/tex]
Plug 10 into the expression as [tex]x[/tex]
[tex]3(10)+5\\= 30+5\\= 35[/tex]
I hope this helps!
Solve: one seventh + nine fourteenths = _____
Select one:
a. ten fourteenths
b. eleven fourteenths
c. ten sevenths
d. eleven sevenths
Answer: 11/14, also known as eleven fourteenths
Step-by-step explanation:
Hope this helped ! :)
which ordered pair describes the origin?
A) (0, 0)
B) 1, 1)
C) (0, 1)
D) (1, 0)
Answer:
a
Step-by-step explanation:
because the origin is where the lines meet. So its in the middle making it (0,0)
Please helpppppppppppppp!!!! -for geometry
Answer:
statements:
1.A)
2. F)
3. B)
4. D)
What is the best fast food restaurant ever?
Answer:
Taco time
Step-by-step explanation:
Now I'm hungry for tacos
Freddy's froze. custard
Which function results after applying the sequence of transformations to
(x) = x^5?
• compress vertically by
1/2
• shift left 2 units
• shift down 1 unit
It’s really hard and I need help and can also explain to me how you got the answer
Answer:
question 4 = 5
the mobile is of equal weight you have 5 of one item which is 5 X 4 = 20. there are 4 circles so 20/4 = 5
question 5 = 16
again mobile is shown to be equal you have 16 altogether on one side therefore the hexagon = 16
question 6 = 3
you are told there is 18 on each side.
you've already been given the leaf worth 6
18/2 = 9
9-6 = 3
star = 3
question 7 diamond = 2, heart = 12
again the mobile is shown to be equal. the mobile is a total 24, you've already been given 12 so the heart is = to 12 the other side both sides need to add up to 6 to make 12 so the diamond = 2
question 8 diamond = 3, heart = 16
44/2 = 22
22/2= 11
both sides need to add up to 22
Noah's family also wants to blow up a total of 60
balloons for the party. Yesterday they blew up 24
balloons. Today they want to split the remaining balloons
equally between four family members.
Answer: They each will get 9 balloons
Step-by-step explanation: I got my answer by doing 60-24=36 then i divided it between each of the 4 family members with equals 9 per famil member!
What is the length of BC?
pls help
Find the measure for angle DEF
Answer:
Step-by-step explanation:
∠DEF=90-58.2=31.8°
Given v = (-3, 4), what is ||3v|?
9514 1404 393
Answer:
15
Step-by-step explanation:
||3v|| = ||(-9, 12)|| = √((-9)² +12²) = √225
||3v|| = 15
_____
Additional comment
The (3, 4, 5) Pythagorean triple shows up in numerous algebra, geometry, and trigonometry problems. This is one of them. Once you identify the magnitude of v as the hypotenuse of a triangle with legs 3 and 4, you know immediately that ||v|| = 5 and ||3v|| = 15.
Jim rented a truck for one day. There was a base fee of $19.95 , and there was an additional charge of 78 cents for each mile driven. Jim had to pay $221.97 when he returned the truck. For how many miles did he drive the truck?
Answer: 109
Step-by-step explanation: add 19.95 to 79 then subtract it from 221.97