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.
given and, write the new function rule (equation) for function and describe (using words) the two transformations that occur between function and function.
i already got the equation for the first part: y=700(1.043^x) but i don’t understand the second part.
Answers
Answer:
See the screenshot! :)
Step-by-step explanation:
we have a exponential function of the form
y=a([tex]b^x[/tex])
where
y ---> is the population of bacteria
x ---> the number of hours
a is the initial value or y-intercept
b is the base of the exponential function
r is the rate of change
b=(1+r)
we have
a=700 bacteria
r=5%=5/100=0.05
so
b=1+0.05=1.05
substitute
y=700([tex]1.05^x[/tex])
For x=20 hours
substitute in the equation and solve for y
y=700(1.05)^20= 1,857 bacteria
Hope this helped! :)
Related Questions
Mason can plant 12 bushes in 60 minutes. How many can he plant in 3 hours?
Answers
Well first-
Mason planted 12 bushes in one hour, so basically all you have to do is multiply the amount of bushes planted in a hour (12) by the hours (3) so-
12 x 3 = 36 plants for 3 hours
your welcome :)
Please help me w the equation and please don’t take advantage of the points.
Answers
Answer:
1x
6y
Step-by-step explanation:
Which of the following are possible solutions to following system of linear inequalities:
y<4/3x+4
x(less than or equal to)3
A. (3, 10)
B. (0,4)
C. (3,6)
D. (0,0)
E. (3,0)
F. (-6,2)
MORE THAN ONE IS CORRECT
Answers
The salaries of a random sample of a company's employees are summarized in the frequency
distribution below. Approximate the sample mean.
Salary (5) Employees
3.001-10,000 14
10.001-15,000 16
15.001-20,000 14
20.001-25.000
17
25.001-30.000
19
Answers
The required approximate sample mean salary is $17750.725.
How to find the sample mean?
To approximate the sample mean, we first need to find the midpoint of each salary range and then multiply it by the number of employees in that range to get the total salary for that range. Then we can sum the total salaries and divide by the total number of employees to get the sample mean.
The midpoint of each salary range can be found by taking the average of the lower and upper bounds of the range. For example, the midpoint of the first range (3.001-10,000) is (3.001 + 10,000) / 2 = 5001.5005.
Using this approach, we can construct the following table:
Salary (5) Employees Midpoint Total Salary
3.001-10,000 14 5001.5005 70021.007
10.001-15,000 16 12500.5000 200008.000
15.001-20,000 14 17500.5000 245007.000
20.001-25.000 17 22500.5000 382511.500
25.001-30.000 19 27500.5000 522510.500
To find the sample mean, we add up the total salaries and divide by the total number of employees:
[tex]$\bar{x} = \frac{\sum_{i=1}^n x_i}{n} = \frac{70021.007 + 200008.000 + 245007.000 + 382511.500 + 522510.500}{14 + 16 + 14 + 17 + 19} \approx 17750.725$[/tex]
Therefore, the approximate sample mean salary is $17750.725
To know more about Mean visit:
brainly.com/question/11822836
#SPJ1
I need help in this, urgently. Please
Answers
Answer:
FE is greatest, GF is second, and GE is least. Flip it around bc Im dumb and did greatest to least and you get
GE then GF then FE, which is A
Step-by-step explanation:
The higher the opposite angle, the higher the side length.
Graph 8x−4y=16. From Big Ideas Math
Answers
Solve for y.
8x−4y=16
-4y = -8x + 16
y = (-8x + 16)/-4
y = (-8x)/-4 + (16/-4)
y = 2x - 4
We only need two points to graph linear equations.
Now let x be 0 and solve for y.
y = 2(0) - 4
y = -4
This leads to the point (0, -4).
We need another point.
Let y = 0 and solve for x.
0 = 2x - 4
4 = 2x
4/2 = x
2 = x
This leads to the point (2,0).
Plot these two points on the xy-plane and connect the points with a straight line.
I'll let you do that.
Understand?
Please help solve the equation and please don’t take advantage of the points.
Answers
Answer:
m=2/3, b=4
Step-by-step explanation:
Using the rise over run method, you can count from two points. Also since this line is positive. The b is found by seeing where the line crosses the y axis. It crosses at 4.
Darla is able to drive her car 37.5 miles per gallon of gasoline. Write the
answer of the minimum number of gallons of gasoline Darla would need
to drive 120 miles to her brother's house.
Please help me.
Answers
You see what you do is you divide 120 by 37.5 and you will get the number of gallons
Sally found the deal of the century when buying a TV. • The store advertised the TV for 1/3 off. • At the register she handed the cashier a coupon for an additional 1/4 off. If the TV originally cost $320 how much did she pay for it?
Answers
Answer:
$160
Step-by-step explanation:
These discounts would be added one after the other. Therefore, we would first apply the first discount of 1/3 to the original price. Since it is a discount it means that from the original price we would pay 2/3. We do this by multiplying this fraction by the original price like so...
$320 * (2/3) = $213.33
Now we add the second discount of 1/4. Again, since it is a discount it means that we would be paying 3/4 of the current price.
$213.33 * 3/4 = $160
Finally, we can see that Sally would have ended up paying $160 for the TV.
Please help!! 50 points
Answers
Answer:
4,left,4,down
Step-by-step explanation:
Answer:
4 units to the left and 4 units down
Step-by-step explanation:
(1,5)-4 units to the left is x value of -3
and (-3,5) 4 units down is y value of 1
How does the size of an image compare to the original figure when the original figure undergoes a dilation with a scale factor of one?
Answers
Answer:
Step-by-step explanation:
What is 2.987 as a percent
Answers
Answer:
0.02987 %
Step-by-step explanation:
2.987 / 100 = 0.02987 %
8. José drives 65 miles per hour when he travels. Sherry drives 450 miles in 9 hours. Which driver has a faster rate of change?
Answers
Sherry = 450/9 = 50 miles per hour
Jose has a faster rate of change
f(5) if f(x) = 3x - 2
Answers
Answer:
f(5)=12
Step-by-step explanation:
Replace all x by 5
f(5)=3(5)-2
multiply 3 and 5 together
f(5)=15-2
Simplify:
f(5)=13
Hope this helps!
Answer:
[tex]f(5) = 3(5) - 2 = 15 - 2 = 13[/tex]
Step-by-step explanation:
Hello. Just exchange x with 5.
1. Which part of the angle is the vertex?
A. Point C
B. Point AB
C. AB
Answers
Answer:
a
Step-by-step explanation:
If 2x/3+x/2=1/6, then x=?
Answers
A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.
Answers
Answer:
C) x ≥ 0 and y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
Step-by-step explanation:
A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.
Which system of inequalities represent the constraints for this situation? Let x = number of shirts, and let y = number of skirts.
A) x ≤ 0 and y ≤ 0
0.5x + y ≤ 800
x + 1.5y ≤ 500
B) x ≤ 0 and y ≤ 0
0.5x + y ≥ 800
x + 1.5y ≥ 500
C) x ≥ 0 and y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
D) x ≥ 0 and y ≥ 0
0.5x + y ≥ 500
x + 1.5y ≥ 800
number of shirts,x and number of skirts,y must be greater than 0 since it can not be a negative value
x ≥ 0 ; y ≥ 0
Inequality for number of yards
x = 0.5 yards ; y = 1 yard
Total yards = 500
The inequality is
0.5x + y ≤ 500
Inequality for hours of production
x = 1 hour ; y = 1.5 hours
Total available hours for production = 800
The inequality is
x + 1.5y ≤ 800
Therefore, the system of inequalities which represent the constraints for this situation is
x ≥ 0 ; y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
x ≥ 0 and y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
When graphed the system shows that the manufacturer should make 200 shirts and 400 skirts for a maximum profit.
What is the slope? Please help me outt!
Answers
Answer:
The slope is m = -1
Step-by-step explanation:
Use the slope formula:
m=y2-y1/x2-x1
= -0-(-2)/-2-0
= 2/-2
= -1
Hope this helps!!!
Answer:
slope is -1
Step-by-step explanation:
Miriam and Dave want to borrow $25,000 to put an addition on their house. They went over their budget, and they can afford to pay $450 a month. If the
bank offers them a home improvement loan with an APR of 6.3%, what should the length of the loan be so they can afford the monthly payments?
Answers
Answer:
The length of the loan will be about 5.5 years
Answer:
5.5 years
Step-by-step explanation:
Does anyone know the answer to this
Answers
Answer:
1
Step-by-step explanation:
Mark as brainliest
help pleaseeee 5/7 - 4/3 WILL MARK BRAINLIEST + 13 POINTS
Answers
Answer: -0.619
Step-by-step explanation:
thomas bought a bottle of shampoo that held 10.5 fluid ounces. he uses 1/16 of the shampoo everytime he washes his hair. how many ounces of the shampoo are left after he washes his hair 6 times?
Answers
Answer:
3.9375oz
i think this is right
Answer:
2.66666666667
Step-by-step explanation:
Please help me on this math question
Answers
Answer:
(-1, 2)
Step-by-step explanation:
x+54+x+70+80=180
find (x+54)
Answers
Answer:
42
Step-by-step explanation:
2x+204=180
2x= -24
x= -12
-12+54=42
Figure ABCDE was reflected across the line y = x to
create figure A'B'C'DE! What are the coordinates of the
pre-image of E'?
8
El
BI
C'
D
X
18
A
E
4
8
Intro
Done
Answers
Answer: E is located at (-2, 6)
Explanation:
The rule for reflecting over y = x is [tex](x,y) \to (y,x)[/tex]
The x and y coordinates swap places.
Point E' is located at (6, -2) so that means point E must be located at (-2, 6)
Simplify 3n* (-2p²) to the power of 5.
Answers
Answer:
-96np^10
Step-by-step explanation:
I hope it's right
The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data.
y = 3.4x + 43
According to the model, how many pizzas will be sold nightly if 15 coupons are issued?
Enter your answer in the box.
# of pizzas_____
Answers
Answer:
94 pizzas will be sold
Step-by-step explanation:
We have to use the equation and replace 15 with x.
x=15
y=3.4x + 43
y=3.4(15) + 43
y=51 + 43
y=94
(15,94)
There will be 94 pizzas sold nightly if 15 coupons were issued.
Answer: To answer this question, substitute the number of tickets sold for the x value.
y = 3.4(15) + 43
Solve the equation by first multiplying the 3.4 and the 15.
3.4 x 15 = 51
This leaves your equation looking like this:
y = 51 + 43
The final step is to add he two integers together.
51 + 43 = 94
So the final answer is y = 94
Therefore, there will be 94 pizzas sold nightly if 15 coupons were issued.
Hope this helps... Plz mark me brainliest if i am correct... Stay safe and have a great weekend!!! :D
What is mZBAD
0 25°
O 850
O 110°
O 125°
Answers
Answer:
110°
Step-by-step explanation:
just add 85+25 and that's equal to 110°
what is the y intercept
Answers
Answer:
there is no picture but the y intercept can be either positive or negative. it is the point where the x is 0 and the y is a number. it lies on the y axis.
Step-by-step explanation:
Answer:
Y intercept is is where the line crosses the y-axis (touches the y-axis).
Step-by-step explanation:
"Two less than the total of a number and five"
Answers
Answer:
3
Step-by-step explanation:
