Answer:
f(x) = 50000*2^x3 daysStep-by-step explanation:
Given:
Initial amount of bacteria = 50000Growth rate = 2 times a dayRequired equation:
f(x) = 50000*2^xSolve for x:
400000 = 50000*2^x2^x = 400000/500002^x = 82^x = 2^3x = 3After 3 days bacteria numbers will reach 400000
The product of twice a number and three is the same as the difference of five times the number and 8/9
Answer:
-8/9
Step-by-step explanation:
Let the number = x
Expressing the problem Mathematically ;
2x * 3 = 5x - 8/9
6x = 5x - 8/9
6x - 5x = - 8/9
x = - 8/9
Hence, the number is - 8/9
how to do graphs of quadratic functions
Answer:
The Graph of a Quadratic Function
A quadratic function is a polynomial function of degree 2 which can be written in the general form.
Step-by-step explanation:
Example: Graph: f(x)=−x2−2x+3.
Solution:
Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).
f(x)f(0)===−x2−2x+3−(0)2−2(0)+33
The y-intercept is (0,3).
Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.
f(x)000x+3x======−x2−2x+3−x2−2x+3x2+2x−3(x+3)(x−1)0−3orx−1x==Set f(x)=0.Multiply both sides by −1.Factor.Set each factor equal to zero.01
Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).
Step 3: Determine the vertex. One way to do this is to first use x=−b2a to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.
x====−b2a−(−2)2(−1)2−2−1
Substitute −1 into the original function to find the corresponding y-value.
f(x)f(−1)====−x2−2x+3−(−1)2−2(−1)+3−1+2+34
The vertex is (−1,4).
Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.
x −2 y 3f(−2)=−(−2)2−2(−2)+3=−4+4+3=3Point(−2,3)
Our fifth point is (−2,3).
Step 5: Plot the points and sketch the graph. To recap, the points that we have found are
y−intercept:x−intercepts:Vertex:Extra point:(0,3)(−3,0) and (1,0)(−1,4)(−2,3)
Answer:
2 questions! area of plane and composite figures
Isabella drove 8686 miles in 2 2/3 hours If she drove at a constant rate, how far did she travel in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
The following dot plot Represents student scores on both the Unit 1 and Unit 2 math test. Scores are in whole number increments.
Part 1: Looking at the data plots, which test do you think the students scored better on? Do you think one of the tests
has more variation than the other or is the variation about the same for both tests? Use complete sentences in your
answer and explain your reasoning.
Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for the Unit 1 test.
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete sentences in your
answer and explain your reasoning.
I answered in a comment and had more as an answer but he deleted it I don't know what I put for the rest so sorry about that
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The probability of rolling a six on this cube is A. 1/6
Step-by-step explanation:
Just... Think about it. The cube has six sides (the total, or denominator). There is only one six (the numerator). So, the answer is 1/6.
Have a wonderful day/night! <3
Laura has a bag of markers. In the bag there are:
7 red markers
5 blue markers
3 yellow markers
She pulls markers from the bag one at a time without putting any back into the bag. What is the probability that the first marker she pulls is yellow and the second marker is red?
Answer:
3/14
7/13
Step-by-step explanation:
How much of a radioactive kind of bromine will be left after 140 hours if the half-life is 35 hours and you start with 864 grams?
Answer:
1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.
Step-by-step explanation:
Draw a flow diagram to indicate the different phases in reproduction.
Answer:
ovulation fertilization cell division implantation conception delivery
Mackenzie bought a Zonkey that was originally priced $750 but she bought it for $600. What was the percent discount of change? Round to the nearest tenth of a percent.
Answer:
20%
Step-by-step explanation:
Find the percent discount by dividing the difference in the costs by the original cost:
150 / 750
= 0.2
So, the percent discount was 20%
What is the value of x?
16
30
X=?
Answer:
Step-by-step explanation:
It’s a right triangle, so use the Pythagorean Theorem.
x^2 = 30^2 + 16^2 = 1156
x = 34
If the high tide was 18 feet and the low tide was 3 feet, what is the tidal range?
Answer: to get range you subtract the largest and smallest numbers. so 18-3= 15 therefor, 15 is the range.
Hope this helps :)
DUE SOON, PLEASE HELP
Answer:
image is unseeable,plz send it again
Step-by-step explanation:
The angle measure of angle LNM is __Degrees
Answer:
90 Degrees
Step-by-step explanation:
<LMN is an interior angle whose measure is equal to one-half the measure of its intercepted arc. Since the intercepted arc LN is the diameter of the circle, its measure is 180 degrees, so m<LMN = 90.
Below is the graph of y=bx. Find b.
Answer:
part 1 is 0.5 and the second part is options 2 and 4
Step-by-step explanation:
b= 0.5
-
b. The graph shows exponential decay
d. The graph shows y = 2^x reflected over the y-axis.
-
Step-by-step explanation: e 21
please help
-HA
-LL
-HL
-LA
Answer:
Ha
Step-by-step explanation:
Expand 5(3 - 11x) good luck
What is 8+29 and 1+4
Answer:
37 and 5
Step-by-step explanation:
8+29=37
1+4=5
Answer:
8+29 is 37. And 1+4 is 5. add them together and you get 42.
Step-by-step explanation:
There is a two-digit number x. 47 divided by x gives a remainder of 5, 91
divided by x gives a remainder of 7 and 132 divided by x gives a remainder of 6.
Find x.
Answer:
x = 21 or x = 42Step-by-step explanation:
Given
47 = mx + 5 ⇒ mx = 4291 = nx + 7 ⇒ nx = 84132 = kx + 6 ⇒ kx = 126As we see, the number x is factor of 42, 84 and 126. The two-digit factors are:
42 = 1*42 = 2*2184 = 2*42 = 4*21126 = 3*42 = 6*21We have two possible solutions:
21 and 42Proof:
47/21 = 2 rem 5, 47/42 = 1 rem 591/21 = 4 rem 7, 91/42 = 2 rem 7132/21 = 6 rem 6, 132/42 = 3 rem 6The area of a circle is approximately 706.86 sq cm. Find the RADIUS to the nearest whole number.
Answer:
R=15
Step-by-step explanation:
706.86/3.14~225
The square root of 225 is 15
Tyler bought shoes for $72. The next week he noticed that the price went
up to $87. What was the percent increase (percent change)? Round your
answer to the nearest whole percent. *
Answer:
Percent increase is 21%
Step-by-step explanation:
Initial cost of shoes = $72
New price of shoes = $87
Increase in price of shoes = New price of shoes - Initial cost of shoes
= [tex]87-72[/tex]
= $15
Percentage increase in price of shoes = ( Increase in price of shoes ÷ Initial cost of shoes) × 100
= [tex]\frac{15}{72}(100)=20.8\%[/tex]
≈ 21%
So, percent increase is 21%
Estimate the perimeter of the figure to the nearest whole number.
Answer: perimeter 28 units
==========================================================
Explanation:
Refer to the diagram below. In figure 1, I'm showing how the purple side A moves outward to the left, and the green side B moves up. This effectively expands the corner out, but we keep the same perimeter (since sides A and B didn't change in length). Apply these sort of steps to each of the four corners and you'll get what you see in figure 2. The purple box has the same perimeter as the orange original figure.
Why go through these steps? Because it's much easier to find the perimeter of a rectangle than the perimeter of some complicated shape like this. The purple rectangle in figure 2 has horizontal length of 8 units, and the vertical width is 6 units.
The perimeter of the purple rectangle is
P = 2*(length+width)
P = 2*(8+6)
P = 2*14
P = 28
Or you could say: 8+6+8+6 = 14+14 = 28
The purple rectangle in figure 2 has perimeter of 28 units, so the orange figure also has the same perimeter.
---------------
Another approach to find the perimeter is to ignore figures 1 and 2, and simply count the number of edges along the outside. You should count 28 in total. I recommend you mark each side counted with a value so you don't lose track.
Heather purchased a new $1,500 laptop by using a credit card with a 17% interest rate. She will pay off the balance in 2 years by paying monthly payments of $74.16. Calculate Heather’s total cost of repayment.
12 months in a year
2 years
2x12=24
74.16x24=1779.84
Heather's total cost of repayment is $1,779.84.
What exactly is a monthly payment?A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.
Given,
Principal = $1,500
Rate = 17% per year (or 0.17 as a decimal)
Time = 2 years
Total interest = (principal × rate × time) / 12
Substitute the given values, and we get:
Total interest = (1500 × 0.17 × 2) / 12 = $51
So, Heather will pay a total of $51 in interest over the two years.
Total repayment = monthly payment × number of months
Here,
Monthly payment = $74.16
Number of months = 2 years × 12 months/year = 24 months
Substitute these values, and we get:
Total repayment = $74.16 × 24 = $1,779.84
Therefore, Heather's total cost of repayment is $1,779.84.
Learn more about the monthly payments here:
https://brainly.com/question/20761642
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if f(x) = 7(x-1)+8, what is the value of f(1)
[Help asap, will mark brainliest when it allows me] Find the angle measures for the following triangle.
Answer:
x=53
x+2= 53+2= 55
Step-by-step explanation:
(x+2) + x + 72 = 180 (angles of triangle supplementary)
2x+ 74 = 180
2x = 180- 74
2x= 106
x= 106/2
x= 53
Answer:
x = 53°
(x+2)° = 55°
Step-by-step explanation:
Well we know that all the three angles added up together equals 180, so we can set the value of all the angles added up together as 180:
[tex]x+(x+2)+72= 180[/tex]
Now lets add what we can together:
[tex]2x+74=180[/tex]
Since we want to get x by itself to find its value, lets move 74 onto the other side and isolate the x:
[tex]2x=106[/tex]
[tex]x = 53[/tex]
And now we have the value of x, but let's plug them in and see if they still all equal to 180:
[tex](53+2)+53+72=180[/tex]
[tex]180 = 180[/tex]
Q. Nol
Find the
radio of
35cm to 5m
Answer:
7:100
Step-by-step explanation:
35cm= 35cm
5m = 500cm
ratio = 35:500
[tex]\frac{35}{500}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{7}{100}[/tex]
Ratio = 7:100
I hope im right!!
percent change from 5000 to 6400?
Answer:
28 percent
Step-by-step explanation:
Hope this helps!
5000 is the old value and 6400 is the new value. In this case we have a positive change (increase) of 28 percent because the new value is greater than the old value.
Does the point (1, 3) lie on the line y = 2x + 4?
Answer:
No, the point (1, 3) doesn't lie on the line y=2x+4.
Step-by-step explanation:
When you substitute x with 1 and y with 3, the numbers do not equal each other once you solve the problem.
[tex]3=2(1)+4[/tex]
[tex]-4[/tex] [tex]-4[/tex]
------------------
[tex]-1[/tex] ≠ [tex]2[/tex]
The dimensions of a box are (x+3),(3x-4),(5x+1). What is the volume of the box? 9x 9x^3 15x^3+28x^2-55x-12
Answer:
15x^3+28x^2-55x-12
Step-by-step explanation:
Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.
assuming the box is cuboidal
Therefore, volume of the box = Length× width× height
⇒volume of the box = (x+3)×(3x-4)×(5x+1)
now, (x+3)×(3x-4) = (3x^2+5x-12)
Now, volume of the box = (3x^2+5x-12)×(5x+1)
= 15x^3+28x^2-55x-12
Joy has already written 10 pages of a novel she plans to write 15 additional pages per week until she is finished write and solve a linear equation to find the total number of pages written at 6 weeks
Answer:
y=100 pages
Step-by-step explanation:
y=15x+10
y=15(6)+10
y= 90+10
y=100