Answer:
10
Step-by-step explanation:
Using an exponential function, it is found that the hourly growth rate of the bacteria culture is of 14.9%.
------------------------
An exponential function has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which:
A(0) is the initial amount.r is the hourly growth rate.------------------------
Since it doubles every 5 hours, it means that:
[tex]A(5) = 2A(0)[/tex]
And we use this to find r.
------------------------
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]2A(0) = A(0)(1+r)^5[/tex]
[tex](1 + r)^5 = 2[/tex]
[tex]\sqrt[5]{(1 + r)^5} = \sqrt[5]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.149[/tex]
[tex]r = 1.149 - 1 = 0.149[/tex]
0.149*100% = 14.9%.
The hourly growth rate of the bacteria culture is of 14.9%.
A similar problem is given at https://brainly.com/question/24218305
a line passes through the points 3, 0 and 4, 1. what is the y-intercept of the line
9514 1404 393
Answer:
(0, -3)
Step-by-step explanation:
The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).
Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)
y = -3(1/1) = -3 . . . . . multiply by -3
The y-intercept is (0, -3).
¾ + ½ =
Plz help me
I neeeeed help
answer
1.25Step-by-step explanation:
[tex] \frac{3}{4} + \frac{1}{2} [/tex]
[tex] \frac{3 \times 1 + 1 \times 2}{4} [/tex]
[tex] \frac{3 + 2}{4} [/tex]
[tex] \frac{5}{4} [/tex]
[tex]1.25[/tex]
I hope this will help you..please mark my answer as BRAINLIEST....Help me with both of you, please, I'll give you more points
Answer:
1. 80 or D
2. 18 or A
Step-by-step explanation:
well if a triangle is 400 square inches that mean the area is 400 and we know that the formula for area of a triangle is 1/2bh. we can do 400 = 10h/2 and now we solve for h. so times by 2 to get 800 = 10h and divide by 10 to get 80 inches. now substitute 80 in the equation and you get 400. so the answer is true.
for the second one the area of a trapezoid is (b_1+b_2)/2 • h so we substitute again to get 342 = 38h/2. now we can times by 2 to get 684 and divide by 38 to get 18. or you can do 19h = 342 and get 18.
now if you substitute the 18 in the equation you end up with 342. so the answer is true
Please help! will mark brainliest.
only answer if you truly know
Find (ƒ – g)(x) where ƒ(x) = –x^2, g(x) = –(x + 4)^2
(ƒ – g)(x) = –8x – 16
(ƒ – g)(x) = –2x2 + 8x + 16
(ƒ – g)(x) = –2x2 – 8x – 16
(ƒ – g)(x) = 8x + 16
Answer:
D
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = -x^2 \text{ and } g(x) = -(x+4)^2[/tex]
And we want to find:
[tex](f - g)(x)[/tex]
Recall that this is equivalent to:
[tex]= f(x) - g(x)[/tex]
Substitute:
[tex]\displaystyle = (-x^2) - (-(x + 4)^2)[/tex]
Simplify:
[tex]= -x^2 + (x+4)^2[/tex]
Perfect square trinomial:
[tex]= -x^2 + (x^2 + 8x + 16)[/tex]
Combine like terms. Therefore:
[tex]= 8x + 16[/tex]
In conclusion:
[tex](f - g)(x) = 8x + 16[/tex]
Our answer is D.
Is that the right answer..?
9514 1404 393
Answer:
the correct answer is 47
Step-by-step explanation:
You are correct down to the part where you're adding the numbers.
50 -10 +7 = 40 +7 = 47
__
The sign of the 7 is positive. The minus sign only applies to 10.
_____
Additional comment
Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...
(50 +7) -(10) = 57 -10 = 47
PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.
x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5
If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5
Using function concepts, it is found that the degree of the function is: 4, option C.
----------------------------------------
The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.----------------------------------------
When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.A similar problem is given at https://brainly.com/question/10539060
hi can someone help me with this problem!!
Answer:
f(x) | 5 | - 1 | - 3 | - 1 | 5 |
Step-by-step explanation:
So first you'll say "-2" into function
Replace x with negative 2
f(x) =2(-2) ^2 - 3
8 - 3 = 5
Secondly place "- 1" into function
Replace x with negative 1
f(x) = 2(-1)^2 - 3
2 - 3 = - 1
Thirdly place "0" into function
Replace x with 0
f(x) = 2(0)^2-3
0 - 3 = - 3
Then place "1" into function
Replace x with 1
f(x) = 2(1)^2 - 3
2 - 3 = - 1
Lastly place "2" into function
Replace x with 2
f(x) = 2(2)^2 - 3
8 - 3 = 5
{ hope this helps}
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?
Answer:
41
Step-by-step explanation:
i think i dont know that much
Please help!
Find the value of x for which ABCD must be a parallelogram.
Answer:
x=5
Step-by-step explanation:
5x-8=2x+7
5x-2x=7+8
3x=15
X=15/3
x=5
Answer:
5
Step-by-step explanation:
cause
angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7
5x-2x=7+8
3x=15
or x=5
round 6.7 to the nearest whole number.
Answer:
7[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y = 4 - 3x\\y = -3x+4[/tex]
Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].
Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,5) and solve for b:
[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+8[/tex]
I hope this helps!
Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.
Step-by-step explanation:
your answer
mark me a brainlistFind the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 πpi and enter your answer as a decimal
Answer:
C (circumference) = 2 pi R for circle
A (arc length) = R * theta = pi R = pi * 9 = 28.27
6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.
Answer:
60:20
100:?x
60×x=100×20
=33.333 %
The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day
Answer:
45000rupees
Step-by-step explanation:
cost of 1 litre of petrol=60rupees
cost of 750 litres of petrol=750×60rupees
=45000rupees
Find the value of x.
Answer:
x=60
Step-by-step explanation:
x=180-120
if 5-3(2a+1)=-4a+10, what is the value of a+2
Answer:
-2
BRAINLIEST, PLEASE!
Step-by-step explanation:
5 - 3(2a + 1) = -4a + 10
5 - 6a - 3 = -4a + 10
2 - 6a = -4a + 10
-2a = 8
a = -4
-4 + 2 = -2
Answer:
a+2 = -4+2 = -2
Step-by-step explanation:
5-3(2a+1)=-4a+10
Distribute
5 - 6a -3 = -4a +10
Combine like terms
-6a +2 = -4a +10
Add 6a to each side
-6a+2 +6a = -4a+6a +10
2 = 2a+10
Subtract 10 from each side
2-10 =2a+10-10
-8 = 2a
Divide by 2
-8/2 =2a/2
-4=a
Which of the following expressions is equivalent to the expression below?please help me
Answer: 14x+6
Step-by-step explanation:
by using distribution from the ”2” outside the parenthesis, you simply do
2x7= 14 (add the variable x) so 14x
then you do 2x3= 6
Please help and please give explanation
Answer: -5 i guess i might b wrong i dont know -5
Step-by-step explanation:
Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.
Answer:
Step-by-step explanation:
M=189
N = 48
A = M*N
A = 189 * 48
A = 9072
Add -13 + 5. 8 -8 -18 18
La chispa de un relámpago artificial de 10.0 MV libera una energia de 0.125 MW .s ¿Cuántos coulombs de
carga fluyen?
Answer:
nzbzbzZnzbznzbzbzhzhsbsjs
compare and explain.
PLZ HELP WITH BOTHHHHH
Answer:
(5,2)
(6,-6)
Step-by-step explanation:
5.4 - (9.5 - 8) - 2.5
(pls help and explain pls)
Answer:1.4
Step-by-step explanation:
y link
MIT
MULTIPLE CHOICE QUESTION
Is the following statement, True or False?
lf this same substance were cooling, the
freezing point, or moment when the
substance begins to freeze would happen
at 25 degrees Celsius.
Answer:
False False False because freezing point is 100 degree celsius
4x-2=18x+5
Show ur work
Step-by-step explanation:
[tex]4x - 2 = 18x + 5[/tex]
Collect like terms and simplify
[tex] - 2 - 5 = 18x - 4x \\ - 7 = 14x[/tex]
Divide both sides of the equation by 14
[tex] \frac{ - 7}{14} = \frac{14x}{14} \\ - \frac{1}{2} = x[/tex]
Answer:
x = -1/2
Step-by-step explanation:
4x-2=18x+5
-2-5=18x-4x
-7=14x
-7/14=14/14x
-1/2=x
enter the range of values for x:
12x because you multiply it
What is 7x-4(3x-2)=18
