1. Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x. Type your equation into Desmos to make a graph that represents her experiment. Take a screenshot that includes both the equation and the graph in Desmos. Paste the screenshot to this page or attach it separately to the assignment submission drop box. Please help!!!!
Answers
Answer:
This is an exponential function of the form [tex]y=a(b^x)[/tex]We will use the followingy for the number of bacteria at a given timex for the timea for the starting number of bacteria, which is 700b for the base of the exponentso lets find b, we need the following:r, which will be our rate, which is 4.3% or 0.043, so[tex]b=1+r\\b=1+0.043\\b=1.043[/tex] With this info, let's substitute, and get the equation as the answer: [tex]y=700(1.043^x)[/tex] Put that into desmos, (I attached a screenshot for you)
Answer:
This is an exponential function of the form
We will use the following
y for the number of bacteria at a given time
x for the time
a for the starting number of bacteria, which is 700
b for the base of the exponent
so lets find b, we need the following:
r, which will be our rate, which is 4.3% or 0.043, so
With this info, let's substitute, and get the equation as the answer:
Put that into decimals, (I attached a screenshot for you)
Step-by-step explanation:
Related Questions
(2x - 4)(x+3) = 2x(x + 5)
Answers
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = −3/2
Decimal Form:
x = −1.5
Mixed Number Form:
x = −1/1/2
The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units. Which of the following statements is true about the three quadrilaterals? (4 points) a D and E are similar but not congruent. b E and F are similar and congruent. c D and E are similar and congruent. d F and D are similar but not congruent.
Answers
What is the value of x
HELP!!!!
Answers
Answer: 7
Step-by-step explanation: This is an equalateral triangle. You can tell by the marks on each angle, marking that they are equal.
This means that the two sides that aren't the hypotenuse are the same.
Therefore,
[tex]4(x+2) = 36[/tex]
Multiply out the 4
[tex]4x + 8 = 36[/tex]
Subtract 8
[tex]4x = 28[/tex]
Divide by 4
[tex]x = 7[/tex]
Jenna has one more logic puzzle to solve!
Write a system of equations to represent this puzzle, using b to represent the value of each book and m to represent the value of each music note. Then solve the system for b and m.
Type the correct answer in each box. Use numerals instead of words.
The value of each book is
.
The value of each music note is
.
Answers
Answer:
The value of each book is 7
The value of each music note is 6
Step-by-step explanation:
The first equation includes the sum of 3 books and 2 music notes, so 3b + 2m = 33.
The second equation includes the sum of 1 book and 3 music notes, so b + 3m = 25.
This is the system that represents the puzzle:
3b + 2m = 33
b + 3m = 25
Solve the second equation for b, and then substitute the equivalent expression for b in the first equation. The value of each music note is 6.
Then, Substitute the value of m into one of the original equations to find the value of b . The value of each book is 7.
What is StartFraction 8 Over 9 EndFraction divided by two-thirds? A fraction bar labeled 1. Under the 1 are 9 boxes containing one-ninth. Under the 9 boxes are 3 boxes containing one-third. 1 and one-sixth 1 and StartFraction 2 Over 9 EndFraction 1 and one-third 1 and two-thirds
Answers
Answer:
C 1 1/3 I got it right in the quiz
Simplify the expression. √-14√-19
Please help!!
Answers
in decimal form it’d be: -16.30950643.....
i hope this helps
What is the midpoint of the line segment with endpoints (-2,-4) and (4,6)?
A. (-6,10)
B. (-3,5)
C. (1,1)
D. (2.2)
E. (3,5)
Answers
Answer:
Answer: C. (1,1)
Step-by-step explanation:
Midpoint
Given a segment defined by points (x1,y1) and (x2,y2), the midpoint (xm,ym) is calculated as follows:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
The endpoints are (-2,-4) and (4,6).
Calculating the midpoint:
[tex]\displaystyle x_m=\frac{-2+4}{2}=\frac{2}{2}=1[/tex]
[tex]\displaystyle y_m=\frac{-4+6}{2}=\frac{2}{2}=1[/tex]
The midpoint is (1,1).
Answer: C. (1,1)
On Monday. I bought 3 shirts and 7 pairs of pants for a total cost of $17.25. On
Tuesday, I bought 3 shirts and 9 pairs of pants for a total cost of $20.25. Can you
find the price of each item?
Answers
Answer:
Shirt: $2.25. and Pants: $1.50
Step-by-step explanation:
Set up equations with shirts as s and pants as p.
3s+7p=17.253s+9p=20.25Subtract them as there are two variables and two equations:
-2p=-3Make positive, 2p=3Divide, p=1.5To find s:
3s+7(1.5)=3s+10.5=17.25, so 3s=6.75 and s=2.253s+9(1.5)=3s+13.5=20.25, so 3s=6.75 and s=2.251 pair of pants cost $1.65
The sum of a whole number and twice the square of the number is 10. Find the number
Answers
Answer:
Hey there !
Solution:
Let the number be x
=> x + 2x² = 10
=> 2x² + x - 10 = 0
Factorising the quadratic equation we get,
=> 2x² + 5x - 4x - 10 = 0
=> x ( 2x + 5 ) -2 ( 2x + 5 ) = 0
=> ( x - 2 ) ( 2x + 5 ) = 0
=> x = 2, -5/2
Since x is a whole number, -5 / 2 wont be applicable.
Hence x = 2.
Hence the number is 2.
Hope my answer helped !
Step-by-step explanation:
Please help me with this question! Will mark brainliest :)
Answers
Answer:
The slope is 1 hope this helps
y²-y¹/x²-x¹
6-(-4)/7-(-3)
10/10 =1
If you use the equation y2-y1/x2-x1, you will get m=1.
Have a wonderful day :)
Who knows how to find slopes when given a table ?
Answers
Answer:
Do carrots y divided by the x
Step-by-step explanation:
Mary Jane made 140 cupcakes for the sixth grade classes at Oak School. She frosted 3/5 of the cupcakes with caramel icing and put
sprinkles on 1/2 of those cupcakes. How many caramel cupcakes had sprinkles?
A)
38 cupcakes
B)
42 cupcakes
C)
44 cupcakes
D)
46 cupcakes
Answers
Answer:
B). 42 cupcakes
Step-by-step explanation:
3/6= 0.6
1/2= 0.5
140*0.6=84
84*0.5=42
Manuela solved the equation below.
2 (x + 2) = x minus 4
What is the solution to Manuela’s equation?
–8
0
no solution
infinitely many solutions
Answers
Answer: the answer is really -8 (A)
Step-by-step explanation: because how do 0 make since u can't divide 3x and -8
Answer:
A
Step-by-step explanation:
One study of 91 bald eagle eggs found that the eggs had a mean length of 73.6 millimeters and a standard deviation of 2.9 millimeters.
One of the bald eagle eggs found was 74.9 millimeters long.
Which is closest to the z-score for the egg?
–0.45
0.45
1.02
1.30
Answers
Answer: 0.45
Step-by-step explanation:
Answer:
The person above is right and deserves brainliest.
(B), .45
ED2021
will mark brainliest!!
Answers
Answer:
175
Step-by-step explanation:
90 + 85 = 175
180 - 175 = 5
180 - 5 = 175 = x
~theLocoCoco
2. (0, 3); slope = -2
Answers
Answer:
y-3=-2(x-0)
Step-by-step explanation:
i think this is what u needed
Factorise 4(x+y)(3a-b)+6(x+y)(2b-3a)
Please solve this fast.
Show your calculation.
Answers
Answer:
(-3a+4b) (2x+2y)
Step-by-step explanation:
Expand.
4(x+y)(3a-b)+6(x+y)(2b-3a) = 4(3ax+3ay-bx-by) + 6(2bx+2by-3ax-3ay)
4(3ax+3ay-bx-by) + 6(2bx+2by-3ax-3ay) = 12ax+12ay-4bx-4by+12bx+12by-18ax-18ay
Calculate like terms.
12ax+12ay-4bx-4by+12bx+12by-18ax-18ay = -6ax-6ay+8bx+8by
Factorise.
-6ax-6ay+8bx+8by = -3a(2x+2y) + 4b(2x+2y)
Factorise further.
-3a(2x+2y)+4b(2x+2y) = (-3a+4b) (2x+2y)
Vanessa works 32 hours per week at her job. Her boss offers her a full time job (40 Hours per week) and a 2 dollar per hour raise. She says "this is great now I'll make 200 more per week". What is Vanessa's hourly wage before the raise?
Answers
Answer:
$35.75 per hour
Step-by-step explanation:
In order to calculate this, we first need to calculate how much she made with her current hourly wage. We do this by multiplying the hours she worked by her current hourly wage plus her raise.
32 hours * (40+2) = $1,344
Now we subtract $200, since this is how much more she is making with her raise, and then we divide that amount by the 32 hours she is working per week.
(1,344 - 200) / 32 = $35.75 per hour
Finally, we can see that Vanessa's hourly wage before the raise was $35.75 per hour
here is a better picture
Answers
12.5 percent—1/8—0.125
140 percent—1 and 40/100—1.4
275 percent—2 and 3/4–2.75
8 percent—8/100–0.08
How can I put this into an equation?
Answers
Answer:
$65m + 125 = 1165
Step-by-step explanation:
Mrs. Allen a high school teacht is grading quizzes and tests this weekend she has at most 4 hours or 240 minutes to spend grading and she would like to get at least 60 quizzes and tests graded on average it takes her 3 minutes to grade each quiz and 8 minutes to grade each test
Answers
Answer:
(55,9)
Step-by-step explanation:
Write one inequality to represent the number of quizzes and tests Mrs. Allen must grade and one inequality to represent the number of minutes it will take her to grade the quizzes and tests.
Mrs. Allen must grade at least 60 quizzes and tests, so the sum of x and y must be greater than or equal to 60.
On average, it takes Mrs. Allen 3 minutes to grade each quiz and 8 minutes to grade each test. So, the total number of minutes it takes her to grade x quizzes is 3x minutes, and the total number of minutes it takes her to grade y tests is 8y minutes. Since she has at most 240 minutes to spend grading, the sum of 3x and 8y must be less than or equal to 240.
The solution set to the system of these linear inequalities represents the numbers of quizzes and tests Mrs. Allen can grade this weekend.
Now, consider each of the coordinate points. In order to be a solution to this system of inequalities, both inequalities must be satisfied by the values of x and y. When x = 55 and y = 9, both inequalities are satisfied. To confirm, substitute these values of x and y into the first inequality.
Now substitute the values into the second inequality.
Therefore, the only point that lies in the solution set is (55,9).
Given L9 = L13
Which lines, if any, must be parallel based on the given
information? Justify your conclusion.
O c || d. Converse of the Same-Side Interior Angles
Theorem
O a || b. Converse of the Alternate Interior Angles
Theorem
O c || d. Converse of the Corresponding Angles
Theorem
O not enough information to make a conclusion
Answers
HELPP ME PLZZZZZ ZMZNSNMSMSMS
Answers
Answer:
Step-by-step explanation:
y=3/4x-2
Answer:
y=3/4x-2
Step-by-step explanation:
slope-intercept formual: y = mx + b
m (the slope) = (y2-y1) / (x2-x1) so right here we insert (4-1) / (8-4) = 3/4
b =w here the line touches the y-asix = -2
now insert those numbers in the formual: y = (3/4)x + (-2)
final answer: y=3/4x-2
x^2-8x=-15 solve by completing the square
Answers
Answer:
Step-by-step explanation:
A laptop battery has 82 power after 1 hour of use and 46 power after 3 hours of use
Answers
Answer:
18 hours
Step-by-step explanation:
18 x 4 = 54 .
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Sandra brought 3 pounds of sweet potatoes for $4.41. What is the cost per pound of the sweet potatoes.
Answers
Answer:
$1.57
Step-by-step explanation:
Answer:
$1.47 per pound of the sweet potatoes
Step-by-step explanation:
Set up a proportion: [tex]\frac{3}{4.41} = \frac{1}{x}[/tex] Cross multiply, then divide: 1 × 4.41 = 4.41, 4.41 ÷ 3 = 1.47I hope this helps!
Violet used 4 scoops of sugar to make 26cups of lemonade.How many scoops of sugar would violate need to use if she made 234 cups of lemonade?
24
11
31
26
Answers
Answer:
Violet used 4 scoops of sugar and mixed it with 26 cups of lemonade and if it makes 234 cups of lemonade then there is 208. 26 scoops of sugar would violate the cups of lemonade.
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
She would need 26 scoops of sugar as in every certain amount she gets 4 which is 26 cups,every 26 cups she needs 4 , equivelent to that is 26.
HELP ASAP PLEASE WILL MARK BRAINIEST
Answers
Answer:
The correct answer is option A.
Step-by-step explanation:
Hi! Nice to meet you and have a great day.
Answer:
The answer is B.
Step-by-step explanation:
When are x+3 and 3+x equal? When are they not equal?
Answers
Answer:
when x is any real number
Step-by-step explanation:
commutative property
10 POINTS!!!!!! answer quick
Answers
Answer:
Thx for the free points! Have a great day
Step-by-step explanation: