A function is an expression that defines a relationship between an independent variable and a dependent variable.
The number of bacteria colonies after 2 hours is 220.
What is a function?It is an expression that defines a relationship between an independent variable and a dependent variable.
We have,
P(t) = 4t² + 27t + 150
Where t = time
P(t) = population of a slowly growing bacteria colony after a particular time
The growth rate after 2 hours:
P(2) = 4 x (2)² + 27 x 2 + 150
P (2) = 16 + 54 + 150
P (2) = 220
Thus the number of bacteria colonies after 2 hours is 220.
Learn more about functions here:
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Which algebraic expression is equivalent to the expression below?
3/5x-7/5y
Answer:
455554444444555556555555554444
Mary has 18 ounces of apple chips she evenly portions the apple chips between four containers how many ounces of apple chips are in one container
Answer:
4.5 ounces
Step-by-step explanation:
18/4=4.5
PLS HELP GIVING (BRAINLY)
Which statement shows the correct value for the exponential expression 43?
A. 3 x 3 x 3 x 3 = 81
B. 4x3 = 12
C. 4x 4x4 x 4 = 256
D. 4 x 4 x 4 = 64
Answer:
i think D. 4x4x4 = 64 is answer
Step-by-step explanation:
4³ = 4×4×4 = 64
what is the answer to this question?
posted a picture for better understanding:)
Answer:
5
Step-by-step explanation:
Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.
From the question,
[tex]a_{n} = a_{n-1} - 5[/tex]
if n = 2 ;
[tex]a_{2} = a_{1} - 5[/tex]
[tex]a_{2} = 20 - 5 = 15\\[/tex]
Thus, we got [tex]a_{2} = 20[/tex].
if n = 3 ;
[tex]a_{3} = a_{2} - 5[/tex]
[tex]a_{3} = 15 - 5 = 10[/tex]
Thus, we got [tex]a_{3} = 10[/tex].
if n = 4 ;
[tex]a_{4} = a_{3} - 5[/tex]
[tex]a_{4} = 10 - 5 = 5[/tex]
Thus, we got [tex]a_{4} = 5[/tex].
***There are many ways to solve this question
example:
[tex]a_{n} = a_{n-1} - 5[/tex]
[tex]a_{n} - a_{n-1} = - 5[/tex]
Substitute n with 2, 3, 4
Then, we will get 3 equations.
Sum them up;
We will get
[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]
100 POINTS PLS ANSWER
There are 7 friends who went to the bowling alley. Three of the friends each 1 point
bought a game of bowling for $x and a snack pack for $5. The other four
friends only bought a game of bowling. Choose ALL equivalent expressions
that represent the total cost for all 7 friends.
3x+15+4x
8 + 3 + 4x
7x+15
3(x+5)+4x
8 + 15 + 4x
Answer:
8+15+4x and 3x+15+3x
Step-by-step explanation:
Use the distributive property to write an experssion that is equalent to 10+15x
Answer:
5(2+3x)
Step-by-step explanation:
5 x 2 = 10
5 x 3x = 15x
10+15x
(PEMDAS)
Answer:
Step-by-step explanation:
im a boy
Manny has a garden that is 12 feet long and 9 feet wide. What is the perimeter of
Manny's garden?
Use the formula for perimeter, P =
2 (1 + w).
432 feet
O 33 feet
O 42 feet
216 feet
Answer:
42 ft
Step-by-step explanation:
2(L + W ) = P
2 (12 + 9) = P
2 (21) = P
42 = P
P = 42
please help me with this math problem please I need help
is 1.25 because you just add them together
Learn with an example Tony built a new fence in the yard and decided to paint it red. He started painting it at 12:00 P.M. and finally finished at 1:00 P.M. How long did it take to paint the new fence? hours minutes
Answer:
1 hour
Step-by-step explanation:
if he started at 12 pm, then in 1 hour he would finnish
Pls help me its a little confusing
Answer:
the measure of x is 38
Step-by-step explanation:
180-134=46 the value of one side of a line is 180 degrees so to find the vaule of the inside angle we have to subtract 180 by the outside angle's
180-84=96
46+96=142 we then add the value's of both inside angles
180-142= 38
then we subtract that number by 180 because the total of all three angles of any triangle is always 180
Answer:
x = 38°
Step-by-step explanation:
Maths problem always go back to a number of foundational rules;
Once you recognise the ones that are relevant, you can then apply them to find the value or solution you want to find;
First thing is to look at the question and information provided in order to identify the relevant rules;
This question is asking for an angle and we can see a triangle (not a right-angle triangle) and line beneath it;
What rules should we think of with this in mind?
The following;
Angles in any triangle always add to 180°Angles on a straight line add to 180°Using these rules, we can find x;
Firstly, according to rule 2, we can find angle OLM:
134 + OLM = 180
OLM = 180 - 134
OLM = 46
Secondly, also according to rule 2, we can find angle OML:
84 + OML = 180
OML = 180 - 84
OML = 96
Lastly, according to rule 1, we can find angle x:
OLM + OML + x = 180
46 + 96 + x = 180
x = 180 - 96 - 46
x = 38
Make x the subject of the formula
t=
[tex] \sqrt{2(x - ut) \div a}[/tex]
[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
a map of a rectangle park has the length of 4inches and a with of 6 inches. It uses a scale of 1 inch every 30 miles. What is the area of the park
Answer:
720 mi²
Step-by-step explanation:
The map has a scale of 1 in: 30 mi, meaning that for every inch you see on the map, in the real-life location, it will measure 30 miles. So we can find the area of the park on the map and then turn it into miles using the scale:
Area of a rectangle:
[tex]A=bh[/tex]
Replace the known values:
[tex]A=(4)(6)\\ A=24[/tex]
The area on the map is 24 mi², we can turn it to miles using the scale by multiplying our result with 30:
[tex]A=(24)(30)\\ A=720[/tex]
And last but not least, don't forget to put the unit!
In the month of January, a certain restaurant claimed it sold 9,000 burgers and expects sales to grow at a rate of
4.8% per month over the next year. Which formula will determine the number of burgers the restaurant expects to sell
this year?
Answer:
11∑N=1 9000 (1.048)^n
Step-by-step explanation:
First month = a = 9,000burgers
Common ratio = r = 1 + 0.48 = 1.048
Total number of months = n = 11; from February to December.
Formula to determine the number of burgers the restaurant expects to sell this year:
= 11∑N=1 9000 (1.048^n)
Answer:
a
Step-by-step explanation:
a manufacturer has the following quality control check at the end of a production line. if at least 8 of 10 randomly picked articles meet all specifications, the whole shipment is approved. if in reality, 85% of a particular shipment meets all specifications, what is the probability that the shipment will make it through the control check?
Using the binomial distribution, it is found that there is a 0.8202 = 82.02% probability that the shipment will make it through the control check.
For each article, there are only two possible outcomes, either it meets the specifications, or it does not. The probability of an article meeting the specifications is independent of any other article, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
10 articles are picked, hence [tex]n = 10[/tex].85% of the articles meets all specifications, hence [tex]p = 0.85[/tex]The probability is:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.85)^{8}.(0.15)^{2} = 0.2759[/tex]
[tex]P(X = 9) = C_{10,9}.(0.85)^{9}.(0.15)^{1} = 0.3474[/tex]
[tex]P(X = 10) = C_{10,10}.(0.85)^{10}.(0.15)^{0} = 0.1969[/tex]
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.2759 + 0.3474 + 0.1969 = 0.8202[/tex]
0.8202 = 82.02% probability that the shipment will make it through the control check.
For more on the binomial distribution, you can check https://brainly.com/question/24863377
Austin is running. The number of calories he has burned varies directly with the number of minutes he has run. See the graph below. 400 350+ 300 250 + Calories burned 200+ 150 100+ 50+ 0 20 10 30 80 Number of minutes
a) how many minutes does austin run per calories burned?
b) what is the slope of the graph?
Answer:
223454353.000000000000000000
Step-by-step explanation:
A refrigeration system of 60 kW capacity at an evaporator temperature of – 40°C and a condenser temperature of 20°C is needed in a food storage locker. The refrigerant R134a is sub-cooled by 10°C before entering the expansion valve. The vapour is 0.98 dry as it leaves the evaporator coil. The compression in the compressor is of adiabatic type.
Divide using polynomial long division.
2. (x² + 7x +44) = (x +4)
Answer:
the answer is given in the photo below
suppose Amaya wants to bake cookies that require 4.5 cups of flour for a recipe that makes 4 dozen cookies. how much flour would Amaya need to make 126 cookies?
Answer:
11.8125 cups of flour
Step-by-step explanation:
4 dozen = 48 cookies
126/48=2.625 batches of 48 cookies
2.625 x 4.5 = 11.8125 cups of flour
jjjjjhfvkicdcghgfc ghcvh,glv,kghc ,h..
Answer:
0
Step-by-step explanation:
Help help help math math
Answer:
The slope is 1
Step-by-step explanation:
Notice that for every 2 unit increase in y, there's a 2 unit increase in x. This determines our slope, or rate of change. So, the slope is Δy/Δx=2/2=1.
Answer:
1
Step-by-step explanation:
Fill in the missing numbers below.
5 feet + 12 inches =
yard(s)
inches = 1 foot + 1 yard
feet = 3 feet + 24 inches
Answer:
2
Step-by-step explanation:
5 feet + 12 inches = 2 yards
Therefore
5 feet + 12 inches = yard(2)
I solving for (s)
hope that helps
Solve the evens and I will mark you brainliest when available.
Answer:
The solution is in the photo
Equivalent ratios
6:3 X:12 18:x
helpp ☹️☹️ plsplspsospsl
Answer:
BRO BRING THE PHONE CLOSER TO THE SCREEN WE CANT SEE ANYTING
Step-by-step explanation:
how can I simplify of 9/20:3/5 please explain step by step
Answer:
Mark as brainlist
Step-by-step explanation:
Steps for dividing fractions
Find the reciprocal of the divisor. Reciprocal of 35: 53.
So, 920 ÷ 35 = 920 × 53.
= 9 × 520 × 3 = 4560.
After reducing the fraction, the answer is 34.
Answer:
3/4
Step-by-step explanation:
9/20:35=9/20/3/5
=9/20*5/3
=45/60
=simplify both numbers by 15
=3/4
Solve for x.
8x - 5 = 6x + 8x + 10
Therefore, we found that x = -5/2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The function y = 4x + 3 describes Player A's
scores in a game of trivia, where x is the number of
questions answered correctly and y is the score. The function
represented in the table shows Player B's scores. What do
the rates of change tell you about how each player
earns points?
The rates of change of points earned by both players tell us that;
Player A gains more point than Player B does for each correct answer in this round.
We are told that x is the number of
number ofquestions answered correctly and y is the score.
Now, for player B;
For 1 correct answer, he got a score of 4
For 2 correct answers, he got a score of 5
For 3 correct answers, he got a score of 6
For 4 correct answers, he got a score of 7
This means that rate of change of Player B is;
3 points for every extra question answered correctly. .
Now, the formula for player A's points is;
y = 4x + 3
Rate of change of points here is gotten by finding the derivative. Thus;
dy/dx = 4
This means player A earns 4 points for every extra question answered correctly.
In conclusion, it mean that Player A gains more point than Player B does for each correct answer in this round.
Read more on slope intercept form of equation at; https://brainly.com/question/19249035
Suppose log7(10) = a and log7( 5) = b. Use the change-of-base formula along with properties of
logarithms to rewrite each expression in terms of a and b.
Step-by-step explanation:
log 10/log7=a
log10=alog7
log10=log7^a
10=7^a
log 5/log7=b
log5=blog7
log5=log7^b
5=7^b
A pair of shoes are on sale for 60% off. The shoes cost $110 before the sale. How much money will you save after the sale?
answer: 60 × 100 = 600
Step-by-step explanation:
Answer:
$66
Step-by-step explanation:
Money saved after sale= 60% of $110
= 60/100 ×$110
= $66
Approximately what portion of the box is shaded blue?
Answer:
1/2 approximately 1/2......
Answer: C. (1/2)
Step-by-step explanation: You can see they split the box into 2 halves and one half is shaded so 1/2 is shaded you can also solve by 2/2 - 1/2 = 1/2
A total of 4.80 consisting of dimes and quarters was collected from a soft drink vending machine. If there is one more quarter than there are dimes find the number of dimes and the number of quarters.