Answer: N(t) = (2^t)*1500
Step-by-step explanation:
Let's define the hour "zero" as the initial population.
So if N(t) is the number of bacteria after t hours, then:
N(0) = 1500.
Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1
N(1) = 2*1500 = 3000
after two hours, at t = 2.
N(2) = 2*(2*1500) = (2^2)*1500
After three hours, at t = 3
N(3) = 2*(2^2)*1500 = (2^3)*1500
So we already can see the pattern, the number of bacteria after t hours will be:
N(t) = (2^t)*1500
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]
[tex]x_1, y_1[/tex] is (3, 1)
[tex]x_2, y_2[/tex] is (-1, -2)
[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]
which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]
then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]
your final answer is: [tex]\sqrt{13}[/tex] or about 3.61
Could anybody please help me here from this picture? I am not sure which pair of sides can be congruent.
Answer: A) segment AB = segment AD
The diagram below pretty much says it all. The color coding indicates what is given (in blue). The segments in red are congruent because of the reflexive property. If we know the green stuff is true, then we have enough to use SAS.
Mrs canales class is selling pizza to earn money for a field trip. For every pizza sold the class makes $5.35. They have already earned $182.90 toward their $750 goal. How many more pizzas must they sell to earn $750 (algebraic approach) Thanks
Answer:
They still have to earn:
$750 - $182.9 = $567.1
and if they make $5.35 for every pizza sold:
$567.1 : $5.35 = 106
They must sell 106 pizzas more.
Step-by-step explanation:
Find the area A of the polygon with the given vertices. A(−6, 1), B(4, 1), C(4,−8), D(−6,−8)
A= __ square units
u must use the formula
so, the answer is 10 units²
Simplify.
7 (x-1) -2 (x-1)
Answer: 5x-5
Step-by-step explanation:
7 (x-1) -2 (x-1)
7x-7-2x+2
Combine like terms:
7x-2x=5x
-7+2=-5
Answer simplified is 5x-5.
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim xâ[infinity] x + x2 1 â 5x2
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Given the expression;
[tex]\lim_{x \to \infty} \dfrac{x+x^2}{5x^2}[/tex]
To find the limit of the function, we need to first divide through by the highest degree if x i.e x² as shown;
[tex]\lim_{x \to \infty} \dfrac{\frac{x}{x^2} +\frac{x^2}{x2}}{\frac{5x^2}{x^2} }\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5}\\As \ x \ tends \ to \ \infty, \ \frac{1}{x} \ tends \ to \ zero. \ Hence;\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5} = \frac{0+1}{5}\\= \dfrac{1}{5}[/tex]
Hence the limit of the function as x tends to infinity is [tex]\frac{1}{5}[/tex]
20+20 omg.please help :(
Answer:
40
Step-by-step explanation:
which is a unit rate?
A. 15 miles per gallon
B. 5 pounds in two bags
C. $8 for three boxes of crackers
D. 22 gallons in 5 days
Kelly wants to buy a pair of pants that regularly cost $29.99, but they are on sale for 20% off. How much would Kelly pay for the pants after the discount, and
after the sales tax of 6%
Answer:
Black Friday sales
Step-by-step explanation:
1000 ft to 1950 ft in 4 miles what is slope
Answer:
0.05
Step-by-step explanation:
Slope is the vertical drop or rise to the horizontal distance;
Slope = [tex]\frac{vertical interval}{horizontal distance}[/tex]
Let us convert 4 miles to feet;
1 mile = 5280ft
4 miles = 4 x 5280 = 21120ft
Slope = [tex]\frac{1950 - 1000}{21120}[/tex] = 0.05
The slope is 0.05
5
Rectangle WXYZ is located on the coordinate plane. The coordinates for
three of the vertices are listed below. Rectangle WXYZ is dilated by a scale
factor of 2 with a center of dilation at the origin, to form W'X'Y'Z'. What are
the coordinate of vertex X'? *
W (1,6)
Y (3, 2)
z (1,2)
Explain how you determined your answer.
Your answer
Answer:
X' = (6 , 12)
Step-by-step explanation:
Dilation means to stretch or increase with some factor.
We are given the coordinates of rectangle as
W (1,6), Y (3, 2), Z (1,2)
plot this on the Cartesian plane
Coordinate of X is missing
Since the shape is a rectangle so its mid point diagonal intersection point will remain same.
using this the diagonal is
W (1,6) and Y (3,2) are diagonal points
D = ([tex]\frac{3+1}{2} , \frac{6+2}{2}[/tex]) = (2, 4)
Coordinate of X will be
X( x,y) and Z (1,2)
X = ( [tex]\frac{x+1}{2}, \frac{y+2}{2}[/tex]) = (2,4)
this will give x= 3 and y = 6
X ( 3,6)
Now Dilating by the scale factor of 2
Coordinate of X' = X( 2x, 2y)
X' = ( 2*3, 2*6)
X' = (6 , 12)
Kelly is paid 12.50 per hour she worked for 14hours she gave her mom 1/5 how much money does Kelly have left
Answer:
10
Step-by-step explanation:
Since Kelly earns 12.50 dollars per hour, and she works 14 hours, you can multiply 12.50 by 14.
1. 12.50*14=175
Kelly gives 1/5 of her money away, so she should be left with 4/5.
2. 4/5*12.50=10
So the answer is 10.
A package of 6 pairs of insulated gloves costs $34.14 What is the unit price of the pairs of gloves?
The unit price is $____per pair of gloves.
The dairy used 50 pounds of milk to make 5 pounds of
cheddar cheese.
How many pounds of cheddar cheese would 30 pounds
of milk make?
Answer:
3 pounds
Step-by-step explanation:
Find the unit rate by using the equation 50/5 = 10. That means you need 10 pounds of milk to make 1 pound of cheddar cheese. 10 x 3 = 30, so you need to do 1 x 3 = 3.
Please help me really need help please please will mark brainiest it’s due today at 3:30pm please help me please
Answer:
8 Hours.
Step-by-step explanation:
-32-38r=84+-112r+-42
Answer:
Move r to left or right then divide the numbers
According to Ohm’s law, voltage varies directly with current. A cellphone uses an 8-volt battery and has an electric current of 1.5 amps. What is the constant of proportionality?
5.3 ohms
6.5 ohms
9.5 ohms
12.0 ohms
Answer:
5.3
Step-by-step explanation:
the value K in the formula 8volt divided by 1.5 amps is = 5.3 ohms... ur welcome!!
pls mark this as brainless
Why should a combination lock” actually be called a “ permutation lock”? Provide some examples of combinations and permutations that you use to remember which is which
Step-by-step explanation:
Well irs a pertuation lock because you are making a unique combination that only you know and an example of this is like 12395 or 9583644 those two are combinations and there are aproximately 64,000e12 combinations
Pls help ASAP WILL GIVE BRAINEST :/
Step-by-step explanation:
b=1 the person above or below me has the explanation
On 1st September 2014 there were 5400 trees planted in a wood.
On 1st September 2015, only 5184 of these trees were still alive.
It is assumed that the number of trees still alive is given by N = art
where / is the number of trees still alive t years after 1st September 2014.
a) Write down the value
c) Show that on 1st September 2040
the number of trees still alive is predicted
o have decreased by over 65% compared
with September 2014.
b) Show that r = 0.96
Answer:
1. a = 5400
2. r = 0.96
3. Percentage decrement = 65.4%
Step-by-step explanation:
Given
N = ar^t
Solving (a): Write down the value of a
a implies the first term
And from the question, we understand that the initial number of trees is 5400.
Hence,
a = 5400
Solving (b): Show that r = 0.96
Using
N = ar^t
When a = 5400, t = 1 i.e. the first year and N = 5184
Substitute these values in the above expression
5184 = 5400 * r¹
5184 = 5400 * r
5184 = 5400r
Solve for r
r = 5184/5400
r = 0.96
Solving (c): Show that the trees has decreased by over 65% in 2040
First, we need to calculate number of years (t) in 2040
t = 2040 - 2014
t = 26
Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left
N = 5400 * 0.96^26
N = 1868.29658019
N = 1868 (approximated)
Next, we calculate the percentage change as thus:
%Change = (Final - Initial)/Initial * 100%
Where the initial number of trees =5400 and final = 1868
%Change = (1868 - 5400)/5400 * 100%
%Change = -3532/5400 * 100%
%Change = -3532%/54
%Change = -65.4%
The negative sign indicates a decrements or reduction.
Hence, percentage decrement = 65.4% and this is over 65%
please help will give brainlyest again
Answer:
8
_
12 I think
that's it it you can cross multiple it will be 7/10
Which of these statements is true about adaptive evolution?
Answer:
Adaptive evolution is always changing because the environment is changing continuously.
Hence,
The right answer would be :
Adaptive evolution is a fluctuating change in a trait
Step-by-step explanation:
What is the slops of the line passing through (-1, 2) and (-3, -2)? PPPPLLLZZZ HELP!!!!
A. 2
B. -1/2
C. 1/2
D. -2
Answer:
A. 2
Step-by-step explanation:
Count the steps to get to the both points.
From (-3, -2) to (-1, 2), it gets up by 4 and move to the right by 2.
Rise ÷ Run = 4 ÷ 2 = 2
Answer:
I think it's D
Step-by-step explanation:
because it's same to another one so D only
In a clinical trial of oxycodone, 16 subjects experience headaches among the 227 subjects treated with oxycodone. Construct a 95% confidence interval for the proportion of treated subjects who experience headaches. Provide both probabilistic and practical interpretations. (Hint: this is proportion problem).
Answer:
95% Confidence Interval = (0.037, 0.104)
Step-by-step explanation:
The formula for Confidence Interval if a proportion is:
p ± z × √p(1 - p)/n
z = z score of a 95% confidence interval = 1.96
p = proportion = x/n
x = 16, n = 227
p = 16/227
p = 0.0704845815
≈ 0.0705
Confidence Interval
= 0.0705 ± 1.96 × √0.0705(1 - 0.0705)/227
= 0.0705 ± 1.96 × √0.0002886773
= 0.0705 ± 0.0333013921
Confidence Interval
= 0.0705 - 0.0333013921
= 0.0371986079
≈ 0.037
= 0.0705 + 0.0333013921
= 0.1038013921
≈ 0.104
Hence, 95% Confidence Interval = (0.037, 0.104)
21. (01.05)
A function is created to represent the cost per person to attend the school dance. What restrictions would
be made to the domain? (1 point)
The domain would only include integers.
The domain would only include positive integers.
The domain would only include positive numbers,
The domain would include all real numbers.
Answer:
Step-by-step explanation:
The domain would only include positive integers.
I NEED HELP PLEASE !!
Answer:
Step-by-step explanation:
Well looking it up on my link bar if you look up on google there's an answer key which for me its the second link on google!!
Select the shapes that are similar to shape A.
Answer: Blue, orange, purple and red
Step-by-step explanation:
Answer:
The blue, pink, orange, purple, and red.
2d = 8f
18 - 4f = 2d
PLEASE HELP!!!!
The state of Texas did a random sample of the weight of 15 year old boys. The 10 boys they sampled had a total weight of 1250 pounds. What is the best guess (point estimate ) for the average weight of 15 yearold boys in Texas?
1250/10=125
Hope this helps and have and AWESOME night!!! :)
trapezoid has parallel sides with length 10 cm. and 15 cm. Give the area of the trapezoid.
Answer:
150
Step-by-step explanation:
Length times width you learned about that in elementary school every one has.
Answer:
150
Step-by-step explanation: