Answer:
83 m
Step-by-step explanation:
The missing dimension can be found by using the area formula. Fill in the given values, and solve for the remaining unknown value.
__
A = LW . . . . . area of a rectangle of length L and width W
3403 m² = L(41 m) . . . . with given values filled in
L = (3403 m²)/(41 m) = 83 m . . . . . . divide by the coefficient of L
The length of the gym is 83 meters.
A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria
if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so
[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]
[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]
There are six people on a bus. This is in total. At the first stop, eight more people get on. At the second, four get on and two hop off. At the third stop, the bus becomes practically full as 15 passengers get on. Four get off. At the last stop, 8 people get off. How many people are on the bus?
Just a fun problem for you :D
P.S. Answer it correctly ;)
Answer:
This was a nice way to spend my time :) how'd I do?
Step-by-step explanation:
Total: 6
1. +8
After stop 1, total is 14 people
2. +4, -2
After stop 2, total is 16 people
3. +15, -4
After stop 3, the total is 27 people
4. -8
Total # of people on the bus: 19
(A little voice in the back of my mind is telling me that I overthought this entire problem, and that the answer is just 6)
Mr smith has 28 children if he wants 2 give 2 sweets to his class how many sweets
Answer:
56
Step-by-step explanation:
If each child gets 2 sweets then we have to multiply the number of children by 2.
[tex]28 \times 2 = 56[/tex]
Answer:
30 sweets.
Add 28 and 2.
Pranay's school is selling tickets to the annual talent show. On the first day of ticket sales the
school sold 9 senior citizen tickets and 10 student tickets for a total of $113. The school took in
$64 on the second day by selling 2 senior citizen tickets and 10 student tickets. What is the price
each of one senior citizen ticket and one student ticket?
Answer:
Price of senior citizen ticket = $7
Price of student ticket = $5
Step-by-step explanation:
Let:
senior citizen ticket price = astudent ticket price = bEquations formed :
9a + 10b = 1132a + 10b = 64Subtract : Equation 1 - Equation 2
9a + 10b - 2a - 10b = 113 - 647a = 49a = 7Finding b
2(7) + 10b = 6410b = 50b = 5Solution
Price of senior citizen ticket = $7Price of student ticket = $5Answer:
Senior tickets would be 7 dollars
and
Student ticket prices would be 5 dollars
Step-by-step explanation:
2. If A and B are square matrices of the same order, then (A + B) (A - B) is equal to (a) A²– B² (b) A– BA – AB - B² (c) A² - B² + BA – AB (d) A² - BA +B+ AB
Correct option is C) A² - B² + BA – AB
Step-by-step explanation:
(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.
=A² + BA - AB - B²
And as matrix product is not commutative, so AB¦=¦BA
Hence option C is correct.
DUE SOON PLEASE HELP
Kayla has some colored marbles that are the same size and shape. Use
the information below to determine which is closest to the probability
that Kayla will randomly select a marble that is NOT red, replace it, then
randomly select a marble that is yellow?
.
The probability of randomly selecting a red marble is 30%.
The probability of randomly selecting a yellow marble is 13%.
9%
26%
4%
61%
Answer:
9% sry if im wrong
Step-by-step explanation:
Kayla has some colored marbles that are the same size and shape. Use
the information below to determine which is closest to the probability
that Kayla will randomly select a marble that is not red, replace it, then
randomly select a marble that is yellow?
The probability of randomly selecting a red marble is 30%.
The probability of randomly selecting a yellow marble is 13%
help me out here guys
Four functions are listed below.
f(x) | (x^2-4) (x-1)
g(x) | (x+4) (x-6)
h(x) | (x^2+6)
k(x) | x (x^2-25)
Which two functions, when graphed, have the same number of x-intercepts?
A.
f(x) and g(x)
B.
g(x) and h(x)
C.
h(x) and k(x)
D.
k(x) and f(x)
PLEASE HELP 50 POINTS
Which of the following is a solution of y + x < -5?
(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)
Answer: The 4th option= -1, -3
Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4
Now we know that -4 is greater than -5.
Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.
Thanks.
#81 will gove brainliest to best answer
To solve this problem, we need to factor both
⇒ numerator: [tex]x^2-4x+4[/tex]
⇒ denominator: [tex]x^2-4[/tex]
Let's factor:
⇒ [tex]x^2-4x+4=(x-2)(x-2)\\[/tex]
⇒ [tex]x^2-4=(x+2)(x-2)[/tex]
Let's put it back into the fraction:
[tex]\frac{x^2-4x+4}{x^2-4}=\frac{(x-2)(x-2)}{(x+2)(x-2)} =\frac{x-2}{x+2}*\frac{x-2}{x-2} =\frac{x-2}{x+2} *1=\frac{x-2}{x+2}[/tex]
Answer: Choice (3) or [tex]\frac{x-2}{x+2}[/tex]
Answer:
[tex]\frac{x-2}{x+2}[/tex]
Step-by-step explanation:
First, let's factor out the fraction into [tex]\frac{(x-2)^2}{(x+2)(x-2)}[/tex], now we can cancel out the [tex]x-2[/tex]. After we do that, our final answer is [tex]\frac{x-2}{x+2}[/tex].
Hope this helps! :)
Find the product and simplify. (3c-5) ^2
Answer:
9c² -30c + 25
Step-by-step explanation:
Perfect square trinomial: (a - b)² = a² - 2ab + b²
(3c - 5)²
(3c)² -2(3c * 5) + 5²
9c² -2(15c) + 5²
9c² -30c + 25
Final answer: 9c² -30c + 25
Hope this helps!
Hi!
Given:
[tex](3c-5)^2[/tex]
As this is squared, we are simply multiplying the given expression by itself, like so:
[tex](3c-5)(3c-5)[/tex]
Now, we can use the Distributive Property to solve, using the FOIL Method:
[tex](3c-5)(3c-5)[/tex]
[tex]9c^2-15c-15c+25[/tex]
Combine like terms:
[tex]9c^2-30c+25[/tex]
For a similar problem, see:
https://brainly.com/question/15639394
Which triangle congurence theorem proves that ABD ≈ CBD?
AAS
SAS
HL
CPCTC
Answer:
AAS
Step-by-step explanation:
the ansewer
You roll a number cube twenty times and it lands on a 3 five times. What is the
experimental probability that it ends on a 3 the next time you roll?
Answer:
Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16
Step-by-step explanation:
The radius of a circle is 2 inches. What is the circle's circumference?
r=2 in
Use 3.14 for pie
Answer:
6.28
Step-by-step explanation:
2×3.14 because this is just simple multiple
There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four?.
I need help me with math homework please .?
[tex]x = 5 \\ y = 4 \\ m = \frac{1}{5} [/tex]
y= mx+b
[tex]4 = ( \frac{1}{5} \times( 5) )+ b \\ 4 = 1 + b \\ 4 - 1 = b \\ 3 = b \\ y = \frac{1}{5} x + 3[/tex]
Answer:
y = 1/5x + 3
Step-by-step explanation:
can someone please help me to work this out
Answer:
13.64 cm²
Step-by-step explanation:
Area of Trapezoid :
1/2 x (a + b) x ha and b = parallel side lengthsh = heightSolving :
1/2 x (5.2 + 3.6) x 3.11/2 x 8.8 x 3.14.4 x 3.113.64 cm²Answer:
13.64 square centimeters
Step-by-step explanation:
Hey there!
The formula to finding the area of a trapezoid is:
1/2 (p + q) h
Where h is the height, p is the shorter base and q is the longer base
In this case
p - 3.6
q - 5.2
h - 3.1
1/2 (3.6 + 5.2) 3.1
1/2 (8.8) 3.1
(4.4) 3.1 --> 4.4 x 3.1
13.64
So, the area of this trapezoid is 13.64 square centimeters
Make g the subject of the formula [tex]w=7-\sqrt{g}[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{g}[/tex] = 7-w
([tex]\sqrt{g}[/tex] )^2 = (7-w)^2
g = (7-w)^2
The graphs of f(x) and g(x) are shown below:
If f(x) = (x + 7)2, which of the following is g(x) based on the translation?
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2
Answer:
A. g(x)=(x+9)^2
Step-by-step explanation:
if it’s plus inside the parentheses it’s goes left and if it’s - it’s right
Hope this helps! ;-)
Pleaseee help mee!!!
Answer:
down shift 90
Step-by-step explanation:
-90 will shift the graph down 90 units
can someone please help me solve these math problems they are about triangle proofs
Answer:
Besides the givens:
12.
AC = EC, BC = DC; Definition of Midpoint
<ACB = <ECD; Vertical Angles Theorem
Triangle ABC = Triangle EDC; SAS Congruence Postulate
13.
AD = CD; Definition of Median
BD = BD; Reflexive Property
Triangle ABD = Triangle CBD; SSS Postulate
Step-by-step explanation:
None necessary.
Find the median and mean of the data set below:
3,40,15,28
3,40,15,28
Answer:
21.5
Step-by-step explanation:
Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5
Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5
Watch help video
Find an expression which represents the sum of (x – 2y) and (-10x + 6y) in
simplest terms.
+
a
Answer:
-9x + 4y
Step-by-step explanation:
Adding expressions:
Like terms have same variable with same power.Combine like terms.
Here, x and (-10x) are like terms &
(-2y) and 6y are like terms
x - 2y + (-10x + 6y) = x - 2y - 10x + 6y
= x - 10x - 2y + 6y
= -9x + 4y
7
——
math
math geniuses pls help!!!
——
pls check other questions as well thanks,!
Answer:
The time spent by a physician with a patient
Step-by-step explanation:
Option C is the answer
The value of a painting rises from £120,000 to £192,000.
Work out the percentage increase in the value of the painting.
Show your working.
Solve this problem and get 15 points
d. 32.6°
explanation:
tan(×)= 0.6396
tan(x)= 0.6396/1000
tan(×)= 1599/2500
(×)= arctan (1599/2500)
(×)≈ 0.569029 or 32.6°
PLEASE HELP GIVING BRAINLIST!!!!! What is the perimeter of the shape below?
Area of the rectangle
LB92(40)3680ft²Area of trapezoid
1/2(sum of parallel sides)(Height)1/2(5+92)(40-5)1/2(97)(35)3395/21697.5ft²Total
3680-1697.51982.5ft²A cube of side 3cm contains a sphere within it.if the sphere touches each face of the cube,find the volume of the space between the cube and the sphere
Answer:
6.86cm^3
Step-by-step explanation:
In order to do this problem you must first find the volume of the cube and subtract the volume of the sphere within it.
Volume of a cube is S^3
using the given 3×3×3= 27cm^3 volume of cube
volume of a sphere is 4/3 pir^3
4/3 × pi x 1.5^3 = 14.14cm^3 volume of sphere
now simply subtract
27-14.14= 6.86 cm^3
What is the total of the new purchases Jessica made during the month?
A.
$123.09
B.
$125.00
C.
$210.30
D.
$210.52
what is the solution for x? 6(x+4)=3x-2
I chose B as an answer but I’m not sure
Answer:
hy the answer is C. a car maintained constant speed
Answer:
c.A car maintained constant speed
Step-by-step explanation:
according to the graph,velociry is always in a straight line over time.
so the velocity is constant
so A car maintaned constant speed