Answer:
15 ×10^-6
Step-by-step explanation:
1 m = 100 cm
1m^3 = 100^3 cm^3
1m^3 = 1×10^6 cm^3
15 cm^3 = 15 / 1×10^6 = 15×10^-6 m^3
The equation to model Exponential Growth is: y=a(1+r)t y= total amount a= starting amount r= the growth rate as a decimal t= number of growth periods Question 4 A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours.
Answer:
[tex]y=30(1.5)^x[/tex]
where:
y = total amount of bacteria cellsx = number of hoursStep-by-step explanation:
Given exponential growth equation:
[tex]y=a(1+r)^t[/tex]
where:
y = total amounta = starting amount r = the growth rate as a decimal t = number of growth periodsIf a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:
r = 50% = 0.5If the starting amount of bacteria cells is 30 then:
a = 30Therefore, the equation that can be used to determine the number of cells after x hours is:
[tex]y=30(1.5)^x[/tex]
where:
y = total amount of bacteria cellsx = number of hoursFactor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).
The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
What is factored form?The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.
We need to write the given expression [tex]9x^4y-6x^3y^2 + 3x^2y^3[/tex] in the factored form, therefore, we will take the common terms out of the given expression,
1. Taking 3 as the common term, we will get,
[tex]9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)[/tex]
2. Taking x² as the common term
[tex]= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\[/tex]
3. Taking y as the common term,
[tex]= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\[/tex]
Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
Learn more about Factored Form:
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A bag contains 20 marbles: 5 blue, 8 green and 7 orange.Find the
probability of drawing a blue marble.
Answer: 25%
Step-by-step explanation: the probability of drawing blue=5/20
divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)
Help me solve this please
There are 372 children, I hope my answer will be of use to you.
Math homework pls help!!!!!
Answer:
z3 = 216 take the cube root of both sides
z = 6 cm = the side length
Please help me with complement or supplement of an angles.
Answer:
60
Step-by-step explanation:
If we look at the picture, we can see that its a right angle having a 90 degree.
We can make a equation with this as we know that m1 and m2 has to equal 90
x + y = 90
Since we know that m2 = 30 we can plug 30 for x
(30) + y = 90
Now we simply moving the 30 to the 90
y = 90 - 30
y = 60
I Don’t get this, someone help!!
Step-by-step explanation:
4)For answer of no 4
the third side can be gotten by pythagoras theorem;
It says,
hyp^2=opp^2 + adj^2
hyp= ?
opp=30
adj=40
so,
hyp^2=30^2 + 40^2
hyp^2=900+1600
hyp^2=2500
square rooting both sides,
hyp=50ft
Therefore the missing side is 50ft
5) for number 5
opp is missing
remember,
hyp^2=opp^2+adj^2
opp^2= hyp^2-adj^2
opp^2=41^2-40^2
opp^2=1681-1600
opp^2=81
square rooting both sides,
0pp=9Inches
Apply the distributive property to factor out the greatest common factor.
4+10=
4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)
1. Three friends are at a restaurant for dinner. They decide to split the $90. 00 check equally among the three of them. A. If they decide to leave a 20% tip, what will the total bill be?
b. What will each person pay if the total bill including tip is divided by three?
Answer:
1A.)The tip would be $18, thus meaning the total will shoot up to 108$.
1B.) Divide 3 by 18, and you get $6 per person.
Step-by-step explanation:
Hope this helps!~
The total bill with the tip will be $108.00. Considering this value each person will pay $36.00
PercentageThe percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{20}{100}=\frac{1}{5}=0.2*100=20\%[/tex]
The question gives:
3 friendstotal bill without the tip - $90.0020% tipLetter AFor solving this item you should sum the value of the total bill without the tip with the value equivalent to a 20% tip.
Tip=[tex]\frac{20*90}{100} =\frac{1800}{100}=18[/tex]
Total bill= 18+90=108
Letter BFor solving this item you should divide the value of the total bill with the tip by 3 (friends).
Individual Payment= 108/3 = 36
Read more about the percentage here:
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What is the area of the following figure?
17.6 mm
Step-by-step explanation:
Area = (17.6)²mm²
=309.76 mm²
what is the range of the exponential function y=2^x plus 2?
A. Y<0
B. Y<-1
C. Y<-2
D. Y<-1 (Less than or equal to)
I need help please, WILL GIVE brainliest !!!
Answer:
Statements #1: <L (congruent sign) <I
Statements #2: <H (congruent sign) <K
Statements #3: GH (congruent sign) MK
Reasons #2: given
Reasons #3: given
Reasons #4: angle angle side
Brian is the coach of the High School basketball team in Scooterville. His starting five players (Jason, Mike, Jim, Dave, and Frank) all vary in their speed, height, and shooting ability. Use the following information to answer the question(s).
- Mike and Jim are quicker and better shooters than Jason and Dave.
- No person is the best (e. G. , tallest, quickest, best shooter) at more than one category.
- One person was the worst (eg, shortest, slowest, and worst shooter) for all three categories
- Jason is the third tallest.
- Frank is the best shooter
- Jim is the second fastest.
- Jim is a better shooter than Mike.
Which player is the tallest?
From the given information, the tallest player is: Dave.
Who is a player?In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.
We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.
Learn more about sports on https://brainly.com/question/3951300
2. Triangle ABC is rotated around the origin. If vertex A transforms from A(-8,-10) to A (8, 10), which rotation was performed on the triangle?
Answer:
A. R180 degree rotation
Step-by-step explanation:
if you think about a graph, it has four quadrants, so imagine each of the quadtrants, being an add on of 90 degrees from the one you started on, so if you started in the double negative quatrant in the bottom left, it would take two quadrants to go in a circle to get to the full positive quadrant, making this, a 180 degree rotation
When buyers buy less of a good, the manufacturer may reduce the ______ of the good or cut back its ____
Answer:
Price/Cost
Step-by-step explanation:
They may reduce the cost due to the lack of people buying that product, or vice versa.
How is the sentence "9 less than x is –1" written as an equation?
Answer:
Must not have more than ONE "=" sign in an equation like this one.
9 is less than x is -1
I will take the liberty of deleting the first "is" and then write out the expression:
9 less than x is -1, or x-9 = -1
Add 9 to both sides to determine the value of x: x = 8 (answer)
Step-by-step explanation:
Answer: x-9=-1
(they deleted my answer 4 some reason : /)
Step-by-step explanation:
5x+3y-11
What’s the answer ?.
Answer:
x=3y/5 + 11/5
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable
x
I will mark the right answer brainliest
Answer:
∠TAN = 36°
Explanation:
The figure shows an isoceles triangle.An isoceles triangle has two equal sides and equal angle measure.
The total interior angle of a triangle sum ups to 180°
∠TAN = ∠TNA
=========
∠TAN + ∠TNA + ∠ATN = 180°2∠TAN = 180° - 108°2∠TAN = 72°∠TAN = 36°Answer:
B
Step-by-step explanation:
the sides of a regular pentagon are congruent , then
AT = NT and so Δ TAN is isosceles with base angles congruent , so
∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B
What is the area and perimeter? Show your work
Answer:
area = 6
perimeter = 12
Step-by-step explanation:
area:
1.8+3.2 = 5
5*2.4 = 12
12/2 = 6
perimeter:
3+4+1.8+3.2 = 12
Can someone help me with this wuestion please
it is 3 kilometers from Linda's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.
Answer:
1km=1000m... thats basically the answer so the nearest mail box is 3000M
Jennifer has $65 to spend on pants and shirts. She buys a pair of pants for $25 and buys shirts that cost $11 each. What is the greatest number of shirts Jennifer can buy? Enter your answer in the box.
Answer:
3 pairs of shirts and one pair of pants
Step-by-step explanation:
$65-$25(for pants)=$40
$40/$11(how much one shirt cost)=3
A swimmer speeds up 1.9 m/s to 3.8 m/s during the last 11.0 seconds of the race. What is the acceleration of the swimmer?
Initial speed (v) = 1.9m/s
Final speed (u) = 3.8m/s
Time (t) = 11 s
Formula Used :-[tex]v = u + a×t [/tex](a = acceleration)
➾ [tex]a = {\frac{u-v}{t}}[/tex]
Solution:-[tex]a = {\frac{u-v}{t}}[/tex] (putting the value of v, u and t from above)
➾ [tex]a = {\frac{3.8-1.9}{11}}[/tex]
➾ [tex]a = {\frac{1.9}{11}}[/tex]
➾ [tex]a = 0.17 m/s (approx.)[/tex]
Therefore, the acceleration rate = 0.17m/s.
Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused
Answer:
$1200
Step-by-step explanation:
5% of $3000 = $150
multiply 8 by $150 = $1200
find ml 2x+5 5x-4 Brainliest HURRY RN
Answer:
11
Step-by-step explanation:
5x + -4 = 2x + 5
-2x +4 -2x +4
3x = 9
x = 3
5(x) - 4 = ML
5(3) - 4 = ML
15 - 4 = ML
11 = ML
Vocabulary Builder
Visualize It.......
Complete the bubble map using the review words.
Review Words
fraction
Videntity Property
of Multiplication
multiple
product
unit fraction
multiplication
The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:
a * 1 = a
Find out more on equation at: https://brainly.com/question/2972832
A rectangular field is 120 meters long and 85 meters wide.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.
Answer:
Length: 200
Width: 5
Step-by-step explanation:
The perimeter of 120 and 85 is 410
The perimeter of 200 and 5 is 410
The area of 200 and 5 is 200 times 5 which is 1000
The area of 120 and 85 is 120 times 85 is 10200
-I hope this helps
Weir and Max put $75 in quarters and dimes in the box. There were 400 more dimes than quarters. How many coins of each type were there
Answer:
100 quarters = 2500 cents = $25
500 dimes = 5000 cents = $50
total = $75
Step-by-step explanation:
Please help me with this please and thank you
Answer:
12
Step-by-step explanation:
4x-3x
4*3=12
it is 12
The base of the sailboat is 9ft and the height is 15 what is the area??