Answer:
the number of bacteria increases at a rate of 15% each day
Step-by-step explanation:
Given the function :
f(x) = 256(1.15)^x
The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :
f(x) = A(1 + r)^t
A = the initial value of the population, = 256
(1 + r),; r = growth rate
Therefore, to solve for r ;
1 + r = 1.15
r = 1.15 - 1 ; r = 0.15
Hence, growth rate = 0.15 = 0.15 * 100% = 15%
Hence, the number of bacteria increases at a rate of 15% each day
smeone invests £800 at a rate of 2% simple interest per year. Work out the amount of interest she receives after three years.
Answer:
£48
Step-by-step explanation:
I=Prt
I=(800)(0.02)(3)
I = 48
Answer:
the simple interest earned was £48.
Step-by-step explanation:
the appropriate simple interest formula is i = prt, where r is the annual interest rate as a decimal fraction. Here, with prt = (£800)(0.02)(3 yr), we find that the simple interest earned was £48.
√5 is between _________ and __________.
-√30 is between _________ and _________.
-√15 is between __________ and _________.
√18 is between __________ and __________.
√72 is between __________ and __________.
-√125 is between _________ and __________.
Answer:
2 and 3, -5 and -6, -3 and -4
Step-by-step explanation:
list all of your perfect squares
[tex]\sqrt{1}, \sqrt{4} ,\sqrt{9} , \sqrt{16} , ...\\[/tex]
So [tex]\sqrt{5}[/tex] is between [tex]\sqrt{4} and \sqrt{9}[/tex] so it is between 2 and 3
If that is a negative [tex]\sqrt{30}[/tex] then it is between square root of 25 and 36, which would be -5 and -6
-[tex]\sqrt{15}[/tex] is between [tex]\sqrt{9} and \sqrt{16}[/tex] so -3 and -4
solve (x-3)^2=5
A. x=5+√3
B. x=-3+√5
C. x=3+√5
D. x=8 and x=-2
Answer:
A
Step-by-step explanation:
we should first find the value of x.
Answer:
C
Step-by-step explanation:
(x-a)^2=5
x-3=root of 5
x= root of 5 +3
50 points!
-]Kala’s fish tank has 16 liters of water in it. She plans to add 4 liters per minute until the tank has more than 36 liters. What are the possible numbers of minutes Kala could add water?
-]Use t for the number of minutes.
-]Write your answer as an inequality solved for t.
Answer:
I will ask a freind if they know
Step-by-step explanation:
Answer:
t > 5
Step-by-step explanation:
Time : liters
[tex]\left[\begin{array}{ccc}0&16\\1&20\\2&24\\3&28\\4&32\\5&36\\6&40\end{array}\right][/tex]
We can see using the table that at 5 minutes, there would be 36 liters of water in the tank. Since Kala is going to keep filling the tank until there is more than 36 liters, the inequality would be t > 5.
What is the volume of a right circular cone with a radius of 3 units and a height of 6 units? pleas help asap
Answer:
18 units
Step-by-step explanation:
Answer:
18 units
Step-by-step explanation:
???????? Help pls???????
Answer:
The answer is below
Step-by-step explanation:
A linear function graph can be represented by:
y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.
a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{400-100}{20-0}(x-0)\\\\y-100=15x\\\\y=15x + 100[/tex]
b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.
Martha was making apple tarts. She added 1/2 cup of sugar in the beginning. Later, she added another 1/4 cup of sugar. Martha estimated that she added about 1/6 cup of sugar in all. Is Martha's estimate reasonable?
Answer: her answer is NOT reasonable because 1/2 is bigger that 1/6. The real addition to 1/2 and 1/4 is 3/4.
Step-by-step explanation:
1/2 is 2/4 and 1/4 stays the same because it is the common denominator
Add them and you get 3/4
if this is the given data 24, 12, 19, 26, 19, 20, 15, 17 what is the median
Answer:
24 i'm pretty sure sorry if i am wrong
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
The median is the middle number of a data set. To find it, you need to put the numbers in order:
12, 15, 17, 19, 19, 20, 24, 26
Then I like to cross off a number from each end, then one more, working my way toward the middle. Doing this, you're left with 19 and 19 in the middle. When you have 2 numbers, you average them. In this case, you don't have to. The median is 19.
Please LMK if you have questions. If you can mark brainliest, I'd appreciate it. If not, I understand. :)
Look at the picture.
Answer:
(4, 8) where =(x, y)
Step-by-step explanation:
x + 4(-x + 12) = 36
x -4x + 48 = 36
-3x = -12
x = 4
4 + 4y = 36
4y = 32
y = 8
What Is The Measure Of X?
Answer:
Its a:70 degrees..........
Answer:
60 degrees
Step-by-step explanation:
This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60
Select all expressions that are equivalent to 2x+3x+8-3x-2.
Answer:
2x+6 since the +3 and -3x cancel each other out your only left with 2x
HELP PLEASE, I will mark brainless
Can someone help me with this it’s timed !!!
Answer:
c
Step-by-step explanation:
Answer:
1. A
2. Missouri Compromise
3. Abolition
Step-by-step explanation:
Evaluate -8 × (-10 + (-7))
Look at the image for more understanding.
Answer:
The answer is 136.
Step-by-step explanation:
1) Remove parentheses.
[tex] - 8 \times ( - 10 - 7)[/tex]
2) Simplify -10 - 7 to -17.
[tex] - 8 \times - 17[/tex]
3) Simplify.
[tex]136[/tex]
Therefor, the answer is 136.
Evaluate 1/2(1/4)+3/8=
Step-by-step explanation:
1/2(1/4)+3/8=1/8+3/8=(1+3)/8=4/8=1/2
how many true solutions are in x^2− 6x − 7 = 0
2/3 divided by 3/6 is : help asap
the answer is 4/3 OR 1 1/3 :)
Please help! I need help.
Answer:
Supplementary
Step-by-step explanation:
Two angles are "supplementary" when their degree values add up to 180.
Another similar word is "complementary" where angles add up to 90.
;) tip: memorize the words
Which equation represents the relationship between m and d on the chart below?
Plssss Hurry!!
Answer:
I guess the answer is 6.the last choice
Mary Beth has a ribbon that is 15 cm long. Alicia has a ribbon that is 9 cm long. How many centimeters of ribbon do they have?
Answer:
24cm
Step-by-step explanation:
The ribbons they both have can be found by adding 15 to 9
15 + 9 = 24cm
20
5. A cook needs 10 pounds of flour. He wants to spend the least amount of money. A 2-
pound bag costs $1.59 and a 5-pound bag costs $2.89, which should he buy in order to spend
less money? *
Answer:
He should buy two of the 5-pound bag.
Step-by-step explanation:
The cook needs 10 pounds of flour.
He wants to spend the least amount of money.
First option is a 5-pound bag for $2.89 each.
He can get 2 of the 5-pound bag which equals 10 pounds of flour for 2 x $2.89 = $5.78
Second option is a 2-pound bag for $1.59 each.
He can get 5 of the 2-pound bag which equals 10 pounds of flour for 5 x $1.59 = $7.95.
Second option is $2.17 costlier than the first option.
So, he should go for 2 of the 5-pound bag in order to spend the least amount of money while shopping for 10 pounds of flour.
how many variables are in the following expression 3x+4y+z
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
X,Y,Z
— 7x — 4y = — 44
7x — Зу = 16
Answer:
-7x-4y+4y=-44+4y
-7x=4y-44
-7x/-7= 4y-44/-7
x=-4/7y+44/7
x=-4/7y+44/7
Step-by-step explanation:
Joey went to a toy show at the local community center. He bought action figures and trading cards. He spent a total amount of $34.04. He spent $4.22 on the trading cards. He bought 6 action figures that cost the same amount. What equation can be used to determine the cost,a,of each action figure?
In the evening, the temperature is 28 degrees. By midnight it has dropped 31 degrees lower. Between midnight and 4 am it goes down 6 more degrees. Then, by 9 am, the temperature goes up 30 degrees. What is the temperature at 9 am?
Answer: 21 degrees
Step-by-step explanation:
In the evening, the temperature is 28 degrees and by midnight it has dropped 31 degrees lower, the temperature by midnight will be:
= 28° - 31°
= -3°
Between midnight and 4 am it goes down 6 more degrees. The temperature by 4am will be:
= -3° - 6°
= -9°
Then, by 9 am, the temperature goes up 30 degrees, the temperature at 9 am will then be:
= -9° + 30°
= 21°
PLEASE HELP ASAP
All the lines in the figure intersect at point P.
What is the measure of ZKPL?
Answer:
angle KPL = 70 degree
Step-by-step explanation:
A straight line will equal 180 degrees
To find angle IPN, add angles NPM (60) and IPJ (50) and subtract the number from the straight line (180)
60 + 50 + IPN = 180
110 + IPN = 180
IPN = 70
IPN is a congruent angle to KPL
Congruent means they will equal the same
IPN = KPL
70 = 70
We can check our work by adding NPM (60) and KPL (70) and subtracting the sum from the straight line (180). Our answer should be the same as IPJ (50) as MPL is congruent to IPJ
60 + 70 + MPL = 180
130 + MPL = 180
MPL = 50
Correct
Help me with this plz.....???????????????!?????!!!!!!!
Answer:
Check pdf
Step-by-step explanation:
what is the mode of 0.3 0.9 0.2 0 0.7 0.9 0.4
the mode would be 0.9 !
please mark brainliest :3 ♡
Answer:
0.9
Step-by-step explanation:
Mode is the number that occurs most often.
So, the easiest way to do this would be to list out all of your values and count 'em up.
0:one
0.2:one
0.3:one
0.4:one
0.7:one
0.9:two :)
answer (2 + 2) - 4 + 2
Answer:
The answer is 2
Step-by-step explanation:
[tex](2 + 2) - 4 + 2[/tex]
Start by solving what inside the parentheses
[tex]4 - 4 + 2[/tex]
Solve the addition
[tex]0 + 2 \\ 2[/tex]
If angle DCA measures 40 degrees, what does angle ACB measure?
*see attachement for the diagram that is being referred to
Answer:
m<ACB = 50°
Step-by-step explanation:
From the diagram, <DCB is a right angle = 90°
Therefore:
m<DCA + m<ACB = 90° (complementary angles)
m<DCA = 40° (given)
Thus:
40° + m<ACB = 90° (Substitution)
m<ACB = 90° - 40° (Subtraction property of equality)
m<ACB = 50°