The bacteria population in a petri dish was 14 at the beginning of an experiment. After 30 minutes the population of 20 in after an hour the population of 56
Answer:
The answer is below
Step-by-step explanation:
A geometric sequence is a sequence such that each term after the first is found by multiplying the previous one by a fixed number (common ratio). It is given by:
[tex]a_n=ar^{n-1}\\\\n=1,2,3,\ .\ .\ .[/tex]
where a is the first term, r is the common ratio.
From the question, the first term is 14 (at n = 1). a₁ = 14
After 30 minutes (n = 2), the population is 28. a₂ = 28
After 1 hour (n = 3), the population is 56. a₃ = 56
Common ratio (r) = a₃/a₂ = a₂/a₁ = 56 / 28 = 28/14 = 2
a) This sequence is represented as:
[tex]a_n=14(2)^{n-1}[/tex]
b) After 4 hours, that is n = 9:
[tex]a_9=14(2)^{9-1}=14(2)^8=3584[/tex]
Could someone pls help with this :-)
Answer:
A. y = -f(x+1)
Step-by-step explanation:
_______________
HELP QUICK PLS USIFHKDJGS
Answer:
4 x 3 = 12
2 x 3 = 6
12 + 6 = 18 cubic cm
Answer:b
Step-by-step explanation:
The sum of the interior angles of a regular polygon is 2 , 880 ° . Find the number of sides of the polygon.
Answer:
Sum of the interior angles = 2,880° Therefore, assuming a convex or regular polygon and using the summation formula (n - 2) 180°, we have
(n - 2) 180° = 2,880° Solve for n
n - 2 = 16 Add 2 to both sides of the equation
n = 18
Step-by-step explanation:
(n - 2) 180° = 2,880° Solve for n
n - 2 = 16 Add 2 to both sides of the equation
n = 18
HELPPPP
TWO NUMBERS HAVE A SUM OF 28. THE SMALLER NUMBER PLUS FOUR TIMES THE SECOND NUMBER IS 88. FIND THE UMBERS
Answer:
The smaller number is: 8
The bigger number is: 20
Step-by-step explanation:
Ok let's say the two numbers are x and y.
x is the smaller one, and y is the bigger one.
This is the equation to find x:
x + 4y = 88
x + y = 28
x - x + 4y - y = 88 - 28
3y = 60
y = 20
x + 20 = 28
x = 8
50 POINTS!!!!!!
Which transformation causes the described change in the graph of the function f(x)=sin(x)? Options for all include sin(x)-7, sin(x)+7, sin(x-7), sin(x+7)
The transformation ______ results in a vertical shift down.
The transformation _______ results in a horizontal shift left.
The transformation _____ results in a vertical shift up.
The transformation _______results in a horizontal shift right.
Answer: The transformation sin(x)-7 results in a vertical shift down.
The transformation sin(x+7) results in a horizontal shift left.
The transformation sin(x)+7 results in a vertical shift up.
The transformation sin(x-7) results in a horizontal shift right.
Step-by-step explanation:
Transformation:
If f(x) is a function then
f(x)+k is a vertical shift k units upwards.
f(x)-k is vertical shift k units downwards.
f(x-h) is horizontal shift h units rightwards.
f(x+h) is horizontal shift h units leftwards.
So,
The transformation sin(x)-7 results in a vertical shift down.
The transformation sin(x+7) results in a horizontal shift left.
The transformation sin(x)+7 results in a vertical shift up.
The transformation sin(x-7) results in a horizontal shift right.
Answer:
Answer: The transformation sin(x)-7 results in a vertical shift down.
The transformation sin(x+7) results in a horizontal shift left.
The transformation sin(x)+7 results in a vertical shift up.
The transformation sin(x-7) results in a horizontal shift right.
Step-by-step explanation:
platoooo 2022
A survey of teens suggested that 33% can name at least one professional baseball player, and 90% of those teens can also name at least one professional football player. In the entire population, 64% can name at least one professional football player. What percentage of teens can name at least one player from these sports? (0.33)(0.64) = 0.2112 0.33 + 0.64 = 0.97 0.33 + 0.64 – (0.33)(0.64) = 0.7588 0.33 + 0.64 – (0.90)(0.33) = 0.673
Answer:
[tex]d.\ 0.33 + 0.64 – (0.90)(0.33) = 0.673[/tex]
Step-by-step explanation:
Given
[tex]P(Baseball) = 33\%[/tex]
[tex]P(Baseball\ n\ Football) = 90\%[/tex]
[tex]P(Football) = 64\%[/tex]
Required
[tex]P(Baseball\ or\ Football)[/tex]
This is calculated as:
[tex]P(Baseball\ or\ Football) =P(Baseball) + P(Football) -P(Baseball\ n\ Football)[/tex]
[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - (0.90)(0.33)[/tex]
[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - 0.297[/tex]
[tex]P(Baseball\ or\ Football) = 0.673[/tex]
8. How is the graph of log (x - 2) + 1 translated from the graph of log x?
shifted right 2 units and up 1 unit
shifted right 1 unit and down 2 units
shifted left 1 unit and down 2 units
shifted left 2 units and up 1 unit
How to measure an angle
Answer:
You can use Protector' but dint have use this method:
Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.
SOOO in math class today we learned more about algebra such as
X + 10 = Y should I care??
Like srsly miss teacher ???
lol
welp
that's lame!!
Hello there I hope you are having an great day :)
X + 10 = Y if you are trying to work out Y it would equal y = x + 10
If you are trying to work out X it would equal x = y − 10
Hopefully that helps You :)
PLEAEE NEED HELP!!
Find the area of the shaded region in the regular polygon with AB = 5.5 ft.
Answer:
88 ft^2
Step-by-step explanation:
please find attached the diagram used in answering this question
Area of shaded region = area of regular polygon - area of triangle
area of regular polygon = 1/2 x height x perimeter of the polygon
perimeter of the polygon = number of sides x length of side
5 x 8 = 40
1/2 x 40 x 5.5 = 110 ft²
Area of a triangle = 1/2 x ( base x height)
1/2 x 5.5 x 8 = 22 ft²
Shaded portion = 110 - 22 = 88 ft²
HELP ASAP!!! HELP FAST PLEEASE!!!
Answer:
e.
Step-by-step explanation:
Question
Scientific notation is commonly used in science, technology, engineering, and math, which are known as
STEM fields. Assume there are approximately 2.6 million engineers in a country. If engineers make an
average salary of about $70,000 per year, how much income does this group generate collectively?
Write the answer in both scientific and standard notation.
Answer:
$182000000000
1.82 * 10^11
Step-by-step explanation:
Given that :
Number of engineers = 2.6 million
Average salary = $70,000
Collective income generated by group of engineers yearly :
This will be on average :
2,600,000 * 70,000 = $182000000000
In scientific notation :
$182000000000 = 182 * 1000000000
182 * 1000000000 = 182 * 10^9
182 = 1.82 * 100 = 1. 82 * 10^2
Hence,
$182000000000 = 1.82 * (10^2 * 10^9)
$182000000000 = 1.82 * 10^11
helpppppppppppppp make your answer clear please ( no links)
The answer is: 312 (Squared)
Step-by-step explanation:
(2×6 is 12. 12×2 is 24. Top and Bottom)
(12×6 is 72. 72×4 is 288. Both sides+Front and back)
(Adding those up would be: 288+24 = 312)
Solve for n 20 > -4x - 8
Answer:
x > -7
Step-by-step explanation:
20 + 8 > -4x
Simplify
28 > -4x
Divide both sides by 4
-28/4 < x
-7 < x
x > -7
please help!!! its due soon :)))
Answer:
C
Step-by-step explanation:
Answer:
The answer my friend is B.
Need help plz ASAP!!! Plz show work too!
The sum of two numbers is 24. The difference of
those numbers is 8. Write a system of equations to
represent the scenario.
Answer:
Call x and y the 2 numbers. x + y = 32 x - y = 8 2x = 40 -> x = 20, and y = 32 - 20 = 12.
Step-by-step explanation:
Find Value Of X. PLEASEEE HELP
2^( 2x - 3 ) = 128
2^( 2x - 3 ) = 2^7
2x - 3 = 7
2x = 10
x = 5
Answer:
x = 5
Step-by-step explanation:
[tex]x^{2x-3} +52 = 180\\x^{2x-3} = 180 -52\\x^{2x-3} = 128\\x^{2x-3} = 2^{7} \\2x-3=7\\2x=10\\x=10/5\\x=5[/tex]
Steve went the the baseball game with some of his friends. He bought 3 packages of peanuts and 4 hotdogs for a total of $14.50. Mark bought 1 package of peanuts and 6 hotdogs for $13.00. Ruben came with his family to the baseball game and bought 6 package of peanuts and 10 hotdogs. How much money did Ruben spend?
Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
What is a system of linear equations?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.
Let p = packet of peanuts and h = hotdogs
Establishing the system of linear equations to find the cost of one each,
3p + 4h = 14.50.............(i)
p + 6h = 13
p = 13 - 6h........(ii)
Put eq (ii) in the eq(i)
3(13-6h) + 4h = 14.50
39 - 18h + 4h = 14.50
-14h = -24.5
h = 1.75
Put h = 1.75 in eq(ii)
p = 13 - 6(1.75)
p = 2.5
Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75
Therefore, 6 package of peanuts and 10 hotdogs will costs =
6(2.5) + 10(1.75) = 15 + 17.5 = $32.5
Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
Learn more about system of linear equations click;
https://brainly.com/question/19549073
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The width of a rectangle is 5 feet shorter than its length. If the area of the rectangle is 24 square feet, find the dimensions of the rectangle.
Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.
If ABC is 160, what is DBC?
D
(X + 15)
A
(3x + 25)
B
A. 160
O B. 115°
C. 30
D. 45
Answer:
B is the answer
Step-by-step explanation:
Una botella de agua de medio decimetro cubico se llena en 35 segundos .Con el mismo flujo de agua,¿En cuantos minutos se llenaria una garrafa de 4.5 litros?
Answer:
5,250 minutes
Step-by-step explanation:
0.5 cubic Centimeter = 0.0005 liter
So, 4.5 liters = 4,500 cubic Centimeter
Time required for 0.5 cubic Centimeter = 35 seconds
So, we can calculate the total time required by using following formula
Total time required = (Time required for 0.5 cubic Centimeter × 2 ) × 4,500 cubic Centimeter
So, Total time required = (35 seconds ×2 ) × 4,500
= 70 × 4,500
= 315,000 seconds
= 5,250 minutes
If you add the digits in a number, how many numbers between 0 and 10,000 will have a sum of 10? (For example, 334 is one such number because 3 + 3 + 4 = 10)
Answer: I think 100,000
Step-by-step explanation:
anwer pls pls pls the correct
Answer:
a)2.5 b)-1200
Step-by-step explanation:
a)2(-5)/4=-10/-4=5/2=2.5
b)2(-5)×(-6)×5(-4)=-10×-6×-20=-1200
Answer:
2.5, - 1200
Step-by-step explanation:
(a)
Substitute the given values into the expression
[tex]\frac{2a}{c}[/tex] = [tex]\frac{2(-5)}{-4}[/tex] = [tex]\frac{-10}{-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5
(b)
2a × b × 5c
= 10abc
= 10 × - 5 × - 6 × - 4
= - 50 × 24
= - 1200
what is the pattern rule for 1. 25, 1, 0.75, 0.50,0.25
Answer:
-0.25n + 1
Step-by-step explanation:
Difference between all numbers: -0.25
Hence,
[tex]t_n = -0.25n + 1[/tex]
Feel free to mark it as brainliest :D
please help me out thank you . ill mark u brainlist
Answer:
C
Step-by-step explanation:
Use Desmos graphing calculator
Answer:
C. y = 3x + 1
Step-by-step explanation:
The slope can be found by finding two points and the distance in between, which is 3 (rise) over 1 (run). The line passes through the point (0,1), which would be the y-intercept.
Point B has coordinates (3,2). The x-coordinate of point A is −6. The distance between point A and point B is 15 units. What are the possible coordinates of point A?
Answer:
Distance between two points= √(x2-x1)²+(y2-y1)²
D= 15units
Let "k" be the y-coordinate of A
A(-6,k)
B(3,2)
15= √(3--6)²+(2-k)²
Taking square of both sides to eliminate the square root.
15²=(9)²+(2-k)²
225=81+4-4k+k²
k²-4k - 140=0
Using Quadratic Formula to evaluate
k= 14 or k=-10
The Possible coordinates of A are
(-6,14) or (-6,-10)
Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles
long! How long should this race take her to complete?
Step-by-step explanation:
Remember, math is a language
when you see per think fractions
15.2 miles per hour = 15.2 miles / 1 hour
since this is a fraction, Units can cancel just like numbers
To cancel miles and be left with hours rearrange the fraction
1 hour / 15.2 miles
then multiply by 72 miles
[tex] \frac{1hour}{15.2miles} \times 72miles[/tex]
the miles cancel and youre left with hours!
so youd write and solve 72 / 15.2
x + (3x - 4) = 5 - (-7 - 3x)
Answer:
x = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x + (3x - 4) = 5 - (-7 - 3x)
Step 2: Solve for x
[Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x[Addition] Combine like terms: 4x - 4 = 12 + 3x[Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12[Addition Property of Equality] Add 4 on both sides: x = 16