Answer:
98,000 bacteria.
Step-by-step explanation:
We are given the formula:
[tex]P=le^{kt}[/tex]
Where l is the initial population, k is the rate of growth, and t is the time ( in hours).
We know that it has an initial population of 500. So, l is 500.
We also know that the population grows to 7000 after 2 hours.
And we want to find the population after 4 hours.
First, since we know that the population grows to 7000 after 2 hours, let's substitute 2 for t and 7000 for P. Let's also substitute 500 for l. This yields:
[tex]7000=500e^{2k}[/tex]
Divide both sides by 500:
[tex]e^{2k}=14[/tex]
We can solve for the rate k here, but this is not necessary. In fact, when can find our solution with just this.
Let's go back to our original equation. We want to find the population after 4 hours. So, substitute 4 for t:
[tex]P=500e^{4k}[/tex]
We want to find the total population, P. Notice that we can rewrite our exponent as:
[tex]P=500(e^{2k})^2[/tex]
This is the exact same thing we acquired earlier. So, we know that the expression within the parentheses is 14. Substitute:
[tex]P=500(14)^2[/tex]
Square and multiply:
[tex]P=500(196)=98000[/tex]
So, after 4 hours, there will be 98,000 bacteria.
And we're done!
the difference of a number and 10 is at least 5 more than 9 times the number
Answer:
x-10 ≥ 9x+5
x ≥ 9x+15
-8x ≥ 15
x ≤ 15/-8
what is -1 as a decimal
Answer:
-1.0
Step-by-step explanation:
6th grade math i mark as brainly
Step-by-step explanation:
i mean I never did that in six grade
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА,
f(x) = (x-6)(x-4)
OB.
fx) = (x-6)(x + 4)
fx) = (x + 6)(x + 4)
OD.
AX) = (x + 6)(x-4)
Algebra
(x-y)(x-y+1)² -2(x-y)(x-y+1)+x-y
help ASAP pleasee!!
Step-by-step explanation:
If u are looking for factorization this is the way
(x-y)(x-y+1)² -2(x-y)(x-y+1)+(x-y)=
(x-y)[(x-y+1)^2-2(x-y+1)+1]=
(x-y)[(x-y+1)^2-2(x-y+1)+1^2]=
(x-y)[(x-y+1)-1]^2=(x-y)(x-y+1-1)^2
(x-y)(x-y)^2=
(x-y)^3
solve for y.
[tex]y + 10x = 3[/tex]
[tex]y + 10x = 3[/tex]
A local road rises 15 feet for every 309 feet of highway . What is the slope of the highway
A work shift for an employee at a restaurant consists of 12 hours what fraction of the employees work shift is represented by 8 hours
Answer
b
Step-by-step explanation:
You have discovered another alien. Find the correct rescue path before answering this question. When the spaceship starts from a point on the y axis, what is the y-intercept of the line of travel? the x-coordinate of the spaceship the y-coordinate of the spaceship the y-coordinate of the alien the distance from the spaceship to the alien
Answer:
the y-coordinate of the spaceship
Step-by-step explanation:
It's what it said on edge
Answer
b
Step-by-step explanation:
Write the expanded form of the expression.
y(0.75+4)
Answer:
25
Step-by-step explanation:
Answer:4.75y
Step-by-step explanation:
plz help help help help help
Answer:
23(14) +23(33)
Step-by-step explanation:
23(14+33)
Distributive Property
what letter grade is a 38/49
Answer:77%
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
because if you multiply 38/49, it would be 76/98. and 76 is a letter c, but if i am wrong its b.
Find g(6) when g(x) = x2-5
Answer:
g(6) = 31
Step-by-step explanation:
If g(x) = x^2 - 5, that means to solve for g(6) you just have to replace the x in the equation with 6.
g(6) = 6^2 - 5
g(6) = 36 - 5
g(6) = 31
Can someone explain how to solve these? I have 10 questions I need to answer for problems like this & I can't go on until I solve it, so I just need the answer for this one and how to solve it. I need it finished fast because I need to bring up a low grade. Any help would be appreciated.
The total amount of money that he had deposited into his account at the end of March is .
I need help, how do I do this?
The answer is 128 because 4·4·4+8·8=128
place value of 30,542
Answer: ten-thousand
Not completely sure if this is what you're asking for... If not, explain better pls!
I just need to know what's Nine sixty-eight thousand one hundred twenty-three
is in numbers bc
idk my brain is kind of jumbled rn
You buy 3.18 pounds of pears, 1.45 pounds of oranges , and 2.79 pounds of peaches what is your total bill
pears-0.99 per pound
oranges-1.19 per pound
peaches-1.29 per pound (round to the nearest cent)
Answ32fn333w3243333
Step-by-step explanation:
euefuehgegwhed
3 questions on percentage ❤️
Answer:
Question 1: 131.25 Question 2: 83.33 Question 3. 133.33
Step-by-step explanation:
1. 131.25% x 150
2. Trial and error
3. 60 ÷ 45%
Which of the following is the equation of the line that is parallel to
y= 3/5x+ 8 and goes through point (-10,4)?
Select one:
a. y = 5/3x + 20 2/3
b. y=-5/3x – 12 2/3
c.y= 3/5x + 10
d. y = -3/5x-2
Answer:
C
Step-by-step explanation:
We want to write the equation of a line that is parallel to:
[tex]y=\frac{3}{5}x+8[/tex]
And also passes through (-10, 4).
Remember that parallel lines have the same slope.
The slope of our old line is 3/5.
Therefore, the slope of our new line is also 3/5.
We know that it passes through (-10, 4). So, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute 3/5 for m and let (-10, 4) be our (x₁, y₁). This yields:
[tex]y-(4)=\frac{3}{5}(x-(-10))[/tex]
Simplify:
[tex]y-(4)=\frac{3}{5}(x+10)[/tex]
Distribute on the right:
[tex]y-4=\frac{3}{5}x+6[/tex]
Add 4 to both sides:
[tex]y=\frac{3}{5}x+10[/tex]
So, our answer is C.
And we're done!
Step-by-step explanation:
Hey there!
The equation of a st.line passing through point (-10,4) is ;
(y-y1)= m1(x-x1) [one point formula]
Put all values.
(y - 4) = m1( x + 10)..........(i)
Another equation is; y = 3/5 + 8.............(ii)
From equation (ii)
Slope (m2) = 3/5 [ By comparing equation with y = mx+c].
As per the condition of parallel lines,
Slope of equation (i) = slope of equation (ii)
(i.e m1 = m2 )
Therefore, the value of m1 is 3/5.
Putting value of slope in equation (i).
[tex](y - 4) = \frac{3}{5} (x + 10)[/tex]
[tex](y - 4) = \frac{3}{5} x + \frac{3}{5} \times 10[/tex]
[tex](y - 4) = \frac{3}{5} x + 6[/tex]
[tex]y = \frac{3}{5} x + 10[/tex]
Therefore the required equation is y = 3/5x + 10.
Hope it helps...
Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard?
Answer:
It is 60%
Step-by-step explanation:
84.50 x 0.60% = 50.7 (also 50.70)
I hope my answer helps even though I am in middle school :)
The required percent decrease in the price of the skateboard is 40%.
The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Original price = $84.50
sale price = $50.70
Percent decrese = 84.50-50.70/84.50 × 100 = 40%
Thus, the required percent decrease in the price of the skateboard is 40%.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ2
Devin has 39 toy blocks. What is the value of the digit 9 in the number
Answer:
The value of the digit 9 is in the ones place.
Step-by-step explanation:
1 Hundreds
1 Tens
1 Ones <----------------
. Decimal point
1 Tenths
1 Hundredths
1 Thousandths
Raul and Ivan each make a number pattern, as described.
• Raul's pattern: start with 15, add 2
• Ivan's pattern: start with 11, add 3
What number in Raul's pattern and in Ivan's pattern is the same in a pair of corresponding terms?
(A) 17
(b) 21
(C) 23
(D) 26
23
26
Answer:
Option C. 23
Step-by-step explanation:
To know the correct answer to the question given above, let us determine the sequence of Raul and Ivan. This is illustrated below:
From the question given above,
Raul's pattern: start with 15, add 2
Ivan's pattern: start with 11, add 3
For Raul:
Raul's pattern: start with 15, add 2
1st term = 15
2nd term = 15 + 2 = 17
3rd term = 17 + 2 = 19
4th term = 19 + 2 = 21
5th term = 21 + 2 = 23
6th term = 23 + 2 = 25
For Ivan:
Ivan's pattern: start with 11, add 3
1st term = 11
2nd term = 11 + 3 = 14
3rd term = 14 + 3 = 17
4th term = 17 + 3 = 20
5th term = 20 + 3 = 23
6th term = 23 + 3 = 26
Summary
Term >>>>> Raul >>>>>> Ivan
1 >>>>>>>>> 15 >>>>>>>> 11
2 >>>>>>>>> 17 >>>>>>>> 14
3 >>>>>>>>> 19 >>>>>>>> 17
4 >>>>>>>>> 21 >>>>>>>> 20
5 >>>>>>>>> 23 >>>>>>>> 23
6 >>>>>>>>> 25 >>>>>>>> 26
From the calculations made above, we can see that in the 5th term, both Raul and Ivan has the same number as 23.
Most universities and colleges require an SAT score as one of the inputs to an admissions decision. Is it a good predictor of college success? Total SAT scores for 10 students are given, along with their college GPAs.
What is 6 1/2 doubled?
Answer:
13
Step-by-step explanation:
6 1/2 x 6 1/2
or
6.5 + 6.5 =13
6+6=12
0.5 + 0.5=1
12+1=13
the double of 6 1/2 is 26/2, which simplifies to 13
To find the double of 6 1/2, we first convert the mixed number 6 1/2 to an improper fraction. We multiply the whole number (6) by the denominator (2), which gives us 12. Then, we add the numerator (1) to get 13. So, 6 1/2 as an improper fraction is 13/2.
To double this fraction, we multiply the numerator (13) by 2, resulting in 26. The denominator remains the same (2). Therefore, the double of 6 1/2 is 26/2, which simplifies to 13. In other words, doubling 6 1/2 gives us the whole number 13.
Learn more about fraction here
https://brainly.com/question/11096884
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Work out this problem: 2x + 3x -12x Show you work
Answer:
-7x
Step-by-step explanation:
2x + 3x - 12x
Add 2x + 3x, resulting in 5x
5x - 12x = -7x
It's negative because the -12 is the bigger number.
Hope this helps :D
Round 733,712 to the nearest thousand
733,712 ~
Answer:
734,000
Step-by-step explanation:
The thousands digit is the fourth digit from the right (1000) so we start by underlining that digit.
733,712
Look at the digit to the right of the underlined digit. If the number is 5 or more, add one to the underlined digit. Since 7 is 5 or more, we add one to the underlined digit.
All of the digits behind the underlined digits turn to zeros to hold the place values.
734,000
Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?
Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2
A graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.
Answer: the answer is C. Gloria’s time was 0.5 minutes faster.
Step-by-step explanation: i just took the test
PLEASE HURRRY!!!! WILL GIVE BRAINLIEST
Answer: $1150
Step-by-step explanation:
[tex]p +\frac{1p}{2} =1750[/tex]
[tex]\frac{2p}{2} +\frac{1p}{2} =1750[/tex]
[tex]\frac{3p}{2} =1750[/tex]
[tex]3p = 3450\\[/tex]
[tex]p = 1150[/tex]
