Replace the values of A, b, x, and y to write an exponential equation that represents the number of cells present at h hours.
Answers
Answer:
100(2)^h =6,400
Step-by-step explanation:
For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .
Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.
The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.
Related Questions
Simplify
6(-5n + 7 thank you
Answers
Answer:
-30n + 42
Step-by-step explanation:
6( -5n + 7)
-30n + 42
Hope this helps!
What is the solution to the system? Enter your answer in the box as an ordered pair with no spaces.
y=2x−3
y=−x
Answers
Simplifying
Y = 2x + -3
Reorder the terms:
Y = -3 + 2x
Solving
Y = -3 + 2x
Solving for variable 'Y'.
Move all terms containing Y to the left, all other terms to the right.
Simplifying
Y = -3 + 2x
___________________________________
Simplifying
Y = -1X
Solving
Y = -1X
Solving for variable 'Y'.
Move all terms containing Y to the left, all other terms to the right.
Simplifying
Y = -1X
Need help on this one, can someone please answer this?
Answers
Answer:
quadrant 3
Step-by-step explanation:
Someone help me quick
Answers
Answer: x > - 18
Step-by-step explanation:
first multiply both sides
then multiply reduce
then arrange and thats the answer
hope this helps <3
solve the question below, please
Answers
Answer:
carios has greater angle
Step-by-step explanation:
hope this helps
Y-4x=9 in standard form please show your work
Answers
Answer:
y = x + 9/4 or y = x + 2 1/4
Step-by-step explanation:
y - 4x = 9
y - x = 9/4 (divide both sides by 4)
y = x + 9/4 (Add x to both sides)
Shannon, Oscar, and Ella contribute the same amount to their father’s gift. Their older sister Moriah contributes $12. How much does Oscar contribute if the total for the gift is $36? Write and solve an equation.
Answers
Answer:
Amount contributed by Oscar = $8
Step-by-step explanation:
Given that:
Amount spent on gift = $36
Amount contributed by Moriah = $12
Let,
x be the amount contributed by each of them.
Thus,
Gift total = Contribution of all
36 = x+x+x+12
36 = 3x+12
3x+12 = 36
3x=36-12
3x=24
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]
Hence,
Amount contributed by Oscar = $8
Find the value of x.
92°
36°
Answers
Answer: the answer is 7°
Step-by-step explanation:
Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,100. Assume that the standard deviation is $1,400.
Required:
a. What is the z-score for a backyard structure costing $2300?
b. What is the z-score for a backyard structure costing $4900?
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier? Explain.
Answers
Answer:
a) The z-score for a backyard structure costing $2300 is -0.57.
b) The z-score for a backyard structure costing $4900 is 1.29
c) A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d) Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the z-score is more than two standard deviations from the mean(lesser than -2 or more than 2), the score X is considered an outlier.
In this question, we have that:
[tex]\mu = 3100, \sigma = 1400[/tex]
a. What is the z-score for a backyard structure costing $2300?
We have to find Z when [tex]X = 2300[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2300 - 3100}{1400}[/tex]
[tex]Z = -0.57[/tex]
The z-score for a backyard structure costing $2300 is -0.57.
b. What is the z-score for a backyard structure costing $4900?
We have to find Z when [tex]X = 2300[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4900 - 3100}{1400}[/tex]
[tex]Z = 1.29[/tex]
The z-score for a backyard structure costing $4900 is 1.29
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier?
We have to find the z-score when X = 13000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13000 - 3100}{1400}[/tex]
[tex]Z = 7.07[/tex]
Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.
Dean purchased a box of cereal Which of these measurements BEST describes the volume of the box?
1.)154 cubic feet
2.)154 cubic inches
3.)154 cubic meters
4.)154 cubic millimeters
Answers
Answer:
2
Step-by-step explanation:
You don't measure cereal in the others because feet, meters and millimeters are too big. Hope this helps.
ILL GIVE U BRAINLIST!!
Connor is working two summer jobs, making $8 per hour walking dogs and making $12 per hour landscaping. In a given week, he can work a maximum of 15 total hours and must earn no less than $160. If Connor worked 12 hours walking dogs, determine the maximum number of whole hours landscaping that he can work and still meet his requirements. If there are no possible solutions, submit an empty answer.
Answers
Answer:
[tex]\mathrm{No\: solutions}[/tex]
Step-by-step explanation:
Since Connor has worked 12 hours walking dogs, he's earned [tex]12\cdot 8 = \$96[/tex] from walking dogs. He still needs to earn [tex]\$160-\$96=\$64[/tex]. As stated in the problem, he makes $12 an hour landscaping, therefore the minimum number of whole hours he must work to fulfill his requirements is [tex]\lceil{ \frac{64}{12} \rceil = 6\: \mathrm{hours}[/tex]. However, the problem states he can only work a maximum of 15 hours. He would have to work [tex]12+6=18[/tex] to fulfill his requirements and therefore he will not be able to meet his requirements with the restrictions given.
Four sisters are all 2 years apart in age. The
total of their ages is equal to 36 years. How
old is the youngest sister
Answers
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The four sisters are all 2 years apart in age. The total of their ages is equal to 36 years.
Let x be the age of the youngest sister. Then the age of other sister will be x + 2, x + 4, and x + 6. Then the equation is given as,
x + x + 2 + x + 4 + x + 6 = 36
4x + 12 = 36
4x = 36 - 12
4x = 24
x = 24 / 4
x = 6
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Pls find this asap I am already late for this pls
Answers
Answer:
Step-by-step explanation:
I'm not sure about number 3, but I have the answer for number. The answer is 1:32.
3: 69
3/69
Then we reduce the fraction to the lowest term
3/69 = 1/32
1:32
Just divide 96/3 and you can see that one bus can hold 32 students
The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3
Which of the following is the best estimate of the volume of
this water tank?
Answers
solve for x x−6/9=−5
x=
Answers
Answer:
4 4/9
Step-by-step explanation:
Move all terms not containing x
to the right side of the equation.
Exact Form:
x=−409
Decimal Form:x=−4.¯4
Mixed Number Form:
4 4/9
Answer:
-39
Step-by-step explanation:
x-6/9 = -5
then multiply both sides by 9
9 ° (x-6) / 9 = 9 ° -5
simplify
x-6= -45
add 6 to both sides
x-6+6=-45+6
simplify
x= -39
Look at the table.
Cars Sold
Annual Bonus
120
$1,800
130
$1,950
150
$2,250
175
$2,625
What is the annual bonus for a salesperson who sells 55 cars?
$150
$825
$1,500
$8,250
Answers
Answer: $825 (B)
Step-by-step explanation:
it’s obvious
Answer: The answer is B!
Step-by-step explanation: It's on edge, hope this helped!
Help plz:)))I’ll mark u Brainliest
Determine if the two triangles are congruent. If they are, state how you know.
Answers
Answer:
There is not enough information to say they are congruent
Step-by-step explanation:
To prove two triangles are congruent, you need 3 things, which you can see through the list of options you were given. But since we only have two, there isn't enough information to prove the are congruent.
The test scores of students in a math class are 56, 42, 50, 63, 58, 41, 50, 48, 68, and 48. What is the mean of this set of data?
A. 55.6
B. 50
C. 52.4
D. 48.6
Answers
(1) 56 + (2) 42 + (3) 50 + (4) 63 + (5) 58+ (6) 41 + (7) 50 + (8) 48 + (9) 68 + (10) 48 = 524
524/10 = 52.4
Answer:
C. 52.4
Step-by-step explanation:
pls help me, i’ll give brainly
Answers
Answer/Step-by-step explanation:
First, find the slope (m) of Line L using the points (0, 5) and (2, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 5}{2 - 0} = \frac{-4}{2} = -2 [/tex]
Slope (m) = -2
✔️Since the line is parallel bro Line L, it would also have the same slope value of -2.
We can use the slope (m) and a point (a, b) of the line to find its equation using the point-slope formula, y - b = m(x - a).
Substitute (a, b) = (3, 0), and m = -2 into y - b = m(x + a):
Thus,
✅y - 0 = -2(x + 3)
Rewrite equation in slope-intercept form
y = -2(x + 3)
✅y = -2x - 6
Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?
Answers
Answer:
approx. 6.523809523809524 hours
Step-by-step explanation:
Let us first find how long it takes Jane to drive 1 mile.
11/693 = approx. 0.015873015873016 hours to drive one mile.
She drives 411 miles, so we can multiply that by 411:
0.015873015873016 * 411 = approx. 6.523809523809524 hours
I hope this helps! :)
Answer:
6.52 hours
Step-by-step explanation:
693 miles divided by 11 hours = 63 miles per hour.
411 miles divided by 63 miles = 6.52380952 miles
Round to 2 decimal places: 6.52 hours
PLEASE HELP ME i rly need an a
what is how much sales tax will Larry pay for his $939 doorbell in Las Vegas, where the sales tax is 8.38%? Use appropriate units and round your answer to the nearest cent if necessary. * plez i beg
Answers
Answer:
939/x 8.38/100
x8.38 93900
x= 11205.25
Step-by-step explanation:
If three pounds of bananas cost $4.50 find the cost of 10 pounds of bananas
Answers
Answer:
45
Step-by-step explanation:
4.50 × 10 =45!
.
.
.
.
.
.?
.
.
.
.
.
Answer:
$15
Step-by-step explanation:
$4.50 time 3 = $13.50 (9 lbs)
$4.50 divided by 3 = $1.50 (1 lb)
$1.50 plus $13.50 = $15
The sum of four times a number and fifteen is forty-seven. Find the number.
Answers
Answer:
8 is the number
Step-by-step explanation:
I don't know why it took me so long to figure it out, 4 x 8 = 32 32 + 15 = 47
It probably took me a really long time because I am tired, and I am not using a calculator.
What is the measure of the missing leg of a right triangle if the hypotenuse measures 10 ft and the other leg measures 8 ft?
Answers
Answer:
2?
Step-by-step explanation:
Question 5 (1 point)
Find the area of the shaded region of this regular polygon. (Round to the nearest
hundredth)
Answers
Height of triangle = 4tan(67.5°)
area of triangle = 0.5(base)(height) = 0.5(8)(4tan(67.5°))
Shaded region = 2*0.5(8)(4tan(67.5°)) = 32tan(67.5°) ≅180.71 cm^2
A convex polygon has 6 sides what is the sum of its interior angles 1980°.
Answers
Step-by-step explanation:
Sum of interior angles in a polygon
= 180°(n - 2), where n is the number of sides.
Hence a convex polygon with 6 sides
=> 180°(6 - 2) = 720°.
please help me guys lol?
Answers
Answer:
Hey
Step-by-step explanation:
Write the fraction in simplest form
[tex] - \frac{29}{18} [/tex]
EXPLANATION[tex] \frac{8}{9} - \frac{5}{2} [/tex]
Find the difference between 8/9 and 5/-2
[tex] \frac{8}{9} - \frac{5}{2} [/tex]
[tex] \frac{8 \times 2}{9 \times 2} - \frac{5 \times 9}{2 \times 9} [/tex]
[tex] \frac{16}{18} - \frac{45}{18} [/tex]
[tex] \frac{16 - 45}{18} [/tex]
[tex] \frac{ - 29}{18} [/tex]
[tex] - \frac{29}{18} [/tex]
how might you ask for 1/10 of a liter of water
Answers
Answer:
weird questions but...
May I have 4 cups of water please?
Answer:
deciliter of water
Step-by-step explanation:
a unit of capacity equal to 1/10 of a liter.
How many proper subsets does the set T= {x,y,z} have?
Answers
Answer:
Total Proper Subsets = 2ⁿ - 1 = 2³ -1 =8-1 =7
Step-by-step explanation:
Basically the formula for,
No of subsets = 2ⁿ
Where n is number of elements in a set. As one subset is improper which is equal to the set itself so we have to find proper subsets which are = 2ⁿ - 1.
Simplify the following expression (2x^2y^5)^3
Answers
Answer:
The correct answer is,
[tex] {8x}^{6y {}^{5} } [/tex]