Given:
The growth of a sample of bacteria can be modeled by the function
[tex]b(t)=100(1.06)^t[/tex]
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
[tex]b(t)=100(1.06)^t[/tex]
Here, b(t) number of total bacteria after t hours.
Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.
[tex]b(t)=100(1.06)^3[/tex]
[tex]b(t)=100(1.191016)[/tex]
[tex]b(t)=119.1016 [/tex]
Therefore, the number of total bacteria after 3 hours is 119.1016.
plz help!! polynomial long division (level 1)
Answer: this is the answer--->[tex]4x^2+3x+10[/tex]
Hello! I have no idea why im writing this, but whoever sees this and is reading this please know that i have no idea who u are but just keep in mind that i hope you have a happy year filled with joy and happiness!!!!!! If ur feeling down please make sure to ask ur friends to cheer u up !! I dont want u to feel sad :(. Anyways, have a good day. My Question is, How has ur day been today? What did u do today that u wanted to do? What did u do that u didnt want to do? Well GOODBYE!
Answer:
Step-by-step explanation:
The day is beautiful, encountered traffic at some point while going out but eventually came out of it after some minutes. It was caused by some hoodlums trying to collect money from drivers.
Research
I took out time to search out some vital information, compiled it to make a single thought that is useful to explain the research topic
I did was what I intend doing today nothing was done out of place.
Answer:
Hi! Thanks so for taking the time to write this beautiful message! So my day was great! But I have a project due at 11:59 that I don’t want to do but other than that it was great!! I am doing okay, how about you? Today I went to school (online) and it was fun since it was Friday I got to play kahoot and I had dance (as a strand) do that was fun as well. Anyways enough about me how are you and how was your day?! Hope you have a great day, bye! :D
Step-by-step explanation:
positive vibes
hehe :))
Page No.
Date :
/
The sum of the digits of two number is 7. The product
the number and its reverse number formed by Interchanging the digits
is 976. find the number.
Answer:
awd
Step-by-step explanation:
The given conditions can be satisfied by the numbers 16 and 61.
What is place value?The foundation of our entire number system is place value. In this approach, the value of a digit in a number is determined by where it appears in the number.
Given, The sum of the digits of two numbers is 7. The product the number and its reverse number are formed by Interchanging the digits is 976.
Let "xy" be the given two-digit number.
Thus,
x +y =7....(1)
and (10x+y)(10y + x) = 976
100xy + 10y² + 10x² + xy = 976
101xy + 10y² + 10x² = 976
From equation 1
707x - 101x² + 490 +10x² - 140x + 10x² = 976
-81x² + 567x = 486
x² - 7x + 6 = 0
Thus x = 1, 6
y = 6,1
Therefore, The number that satisfies the given conditions is 16 or 61.
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The lengths of the sides of a triangle are 7. and 10. If the length of the longest side of a similar triangle is 25. what is the length of the shortest side of this triangle?
Answer: 17.5
Step-by-step explanation:
7:10 = x:25
times both sides by 25
25(7/10) =x
than solve for x
X = 25 × (7/10)
X = 17.5
Which one should I choose
Answer:
x<10
Step-by-step explanation:
A triangle has an area of 12 square units and a height of 8 units. Find its base.
Answer:
3
Step-by-step explanation:
b= 2 [tex]\frac{A}{Hb}\\[/tex] = 2 · [tex]\frac{12}{8}[/tex] = 3
Answer:
base= 3
Step-by-step explanation:
You need to work backwards to solve this problem
A= 1/2bh
with the information given, the equation should look like this:
12= 1/2b8
To get rid of the fraction, you flip it, and you multiply both sides by that (1/2 fliped is 2)
so 2* 12= 1/2b8 *2
-----------------------------------------------------------------------------
** You can see that the 1/2 and the two cancel each other out. This is why:
1/2* 2/1= 2/2
2/2=1
1 * b8 is just b8
----------------------------------------------------------------------------
So now you have:
24= b8
you want to get b by itself, so you use inverse operations ( you divide both sides by 8)
24/8= b8/8
your final answer is 3=b
you can plug in 3 into the original equation to check your answer!!!
Harvey flew south 300 miles. He changed planes and then flew east 500 miles. If he travels a straight path back home, how many miles will he fly? Round to the nearest mile.
Answer:
583 miles
Step-by-step explanation:
Let's draw this out (see attachment).
The straight line path creates the hypotenuse of a right triangle with legs of lengths 300 and 500. So, we use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, a = 300 and b = 500. Then:
300² + 500² = c²
90000 + 250000 = c²
340000 = c²
c = √340000 ≈ 583.1 ≈ 583 mi
Thus, the answer is 583 miles.
~ an aesthetics lover
Help Asap !Solve For X In The Diagram.
Answer:
X = 5
Step-by-step explanation:
suppose that angle TSU is y so
23x+5+y = 180
23x+y = 175
now again in traingle TSU
55+14x-5+y = 180
x = 130-y /14
substitute the value of x in 1st equation
ans will be 5
Answer:
x = 6.111
Step-by-step explanation:
The supplement of <AST = 180 - (23x - 5) That supplement is inside the triangle.
Solution
Add the three angles together to get 180
180-(23x - 5) + 14x-5 + 55 = 180 Remove the brackets
180 - 23x + 5 + 14x - 5 + 55 = 180 Combine
-9x + 55 + 180 = 180 Subtract 180 from both sides.
-9x + 55 = 0 Subtract 55 from both sides
-9x = - 55 Divide by -9
x = -55/-9
x = 6.111
Check
180 - (23*6.111 - 5) + 14*6.111 - 5 + 55= 180
180 - 140.555 + 5 + 85.555 -5 + 55 = 180
39.445 + 85.555 + 55 = 180
180 = 180
-5f - 3=7 what does f equal
Answer:
-2
Step-by-step explanation:
First, add 3 to both sides
-5f-3+3=7+3
Simplify
-5f=10
Then, isolate the variable by dividing both sides by -5
-5f/-5=10/-5
Simplify
f=-2
Are there more elderly men or women around the world? Why might that be the case?
What is the product of 6s and (-2s²+4s-10)?
A)4s²+4s-10
B)-2s²+10s-10
C)-12s³+24s-60
D)-12s³+24s²-60s
Answer:
D
Step-by-step explanation:
Product means multiplication. Since we are multiplying 6s to (-2s²+4s-10), we will use the distributive property to solve.
6s(-2s² + 4s - 10)
-12s³ + 24² - 60
Best of Luck!
D
Step-by-step explanation:
Product means multiplication. Since we are multiplying 6s to (-2s²+4s-10), we will use the distributive property to solve.
6s(-2s² + 4s - 10)
-12s³ + 24² - 60
Best of Luck!
What is the angle relationships
find the 20th term from the last term of the AP:3,8,13,............,253
Answer:
THE ANSWER IS 198
I HOPE THIS MAY HELP YOU
Answer:
3,8,13,198,253
Hope this helps
Weatherman Glenn Burns predicts there to be 4.25 inches of rain on Saturday. On Saturday, it actually rains 6.5 inches. How much percent error was Glenn Burns from being accurate?
Answer:
the prediction was about 35% too low
Step-by-step explanation:
We generally define percent error as the difference between a measurement and an actual value, as a fraction of the actual value. Here, the actual value is 6.5 inches, so we can compute the error to be ...
(4.25 -6.5)/6.5 × 100% = -34.6%
Burns' prediction was about 35% too low.
I’ll give brainliest
Answer:
The graph of the system of equations solves the equation [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1 ⇒ D
Step-by-step explanation:
Let us revise some important notes about the slope and y-intercept of a line
The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept
If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the leftThe y-intercept (0, b) is the the point of intersection between the line and the y-axis
If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negativeTo solve our question without any calculation, let us find the direction of the slopes and their y-intercepts
∵ The direction of the blue line is to the left
→ That means m in the equation is negative
∴ Its slope is negative
∵ The line intersects the y-axis at point (0, 1)
→ That means b in the equation = 1
∴ The number in the equation is 2
→ Look at the answer we have only one answers have negative slope and
y-intercept = 1 in the right hand side ⇒ D
∴ The equation of the blue line is represented by the left side -2x + 1
→ That means the equation of the red line is represented by the left side
∵ The direction of the red line is to the right
→ That means m in the equation is positive
∴ Its slope is positive
∵ The line intersects the y-axis at point (0, -4)
→ That means b in the equation = -4
∴ The number in the equation is -4
→ Only D has a positive slope and y-intercept = -4 in the left side
∴ The equation of the red line is represented by [tex]\frac{1}{2}[/tex] x - 4
The graph of the system of equations solves the equation [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1
Another way:
You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (2, -3) as the point of intersection of the two lines in the graph
SOLVE NUMBER TWO I WILL GIVE BRAINLIST!! USE PIE PLEASE.
Answer:
see explanation
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
Here C = 32π , thus
πd = 32π ( divide both sides by π )
d = 32
Thus a coin with diameter 32 mm should fit through a slot of 35 mm
Someone please help me
Answer: 102 degrees
Answer:
102
Step-by-step explanation
A straight line is 180, half of 360. So if you have 78, you subtract it from 180 to get 102.
5.505, 5.55, 0.555, 5.005 from greatest to least.
Answer:
5.555
Step-by-step explanation:
because this is big then other no
Graph 1
Parallel
Perpendicular
Neither
You are creating a business to earn some extra income over the summer. You decide to sell one product that costs you $2.50 to make. You have a total of $2,000 to put towards the cost of starting your business.
(Q1.) Does the inequality below represent the above business? Yes No
(Q2.) 2.50a 2,000 where a represents the number of $2.50 items manufactured.
If you selected no, explain why:
(Q3.) How would you go about solving the inequality to know how many items you can manufacture while staying within your $2,000 budget?
Please Help!!!
Answer:
Step-by-step explanation:
I think this sample work is due today 0^0 but I got yes for the first part and I would divide 2000 by 2.5 and get get 800 items please put this in your own words and I hope this helped you get the right answer
48 divided by what equals eight
Answer:
6
Step-by-step explanation:
6 is the answer because 6 times 8 equals 48, so if you divide 48 by 8 then the quotient would equal 6.
The number 48 should be divided by 6 to equal eight is 48 ÷ 6 = 8
To find what number 48 should be divided by to equal eight, we can set up the division equation and solve for the unknown value.
Let's represent the unknown number by 'x':
48 ÷ x = 8
Now, to find the value of 'x,' we can isolate it by performing the inverse operation of division, which is multiplication. We can multiply both sides of the equation by 'x':
x * (48 ÷ x) = x * 8
On the left side, 'x' cancels out with the 'x' in the denominator, leaving us with:
48 = 8x
Next, we can solve for 'x' by dividing both sides by 8:
48 ÷ 8 = 8x ÷ 8
6 = x
Therefore, the number 48 should be divided by 6 to equal eight:
48 ÷ 6 = 8
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-3≤2x-3≤3 solve the inequality and graph
Answer:
Solve for the inequality 0≤x≤3
Step-by-step explanation:
Please help I’ve been stuck on this for over 20 mins!
Answer:
5 1/3
Step-by-step explanation:
2÷3/8=
2*8/3=5 1/3
Answer:
The quotient is 5 and 1/3
Step-by-step explanation:
2 ÷ 3/8 = 2/1 × 8/3[tex]\frac{2}{1}[/tex] × [tex]\frac{8}{3} = \frac{16}{3}[/tex] [tex]\frac{16}{3} = 5\frac{1}{3}[/tex]I hope this helps!
What’s the diameter of a circle 5in
Answer:
About 1.591 in
Step-by-step explanation:
diameter
=
5
π
≈
1.59
to 2 dec. places
Explanation:
the circumference (C) of a circle is
∙
x
C
=
π
d
←
d is the diameter
here
C
=
5
⇒
π
d
=
5
divide both sides by
π
π
d
π
=
5
π
⇒
d
=
5
π
≈
1.59
to 2
The diameter is
35
22
.
Explanation:
The diameter of a circle is twice its radius.
We can find the radius of the circle by the equation
circumference
=
2
π
r
Now, just plug it in as
5
=
2
π
r
5
=
2
⋅
(
22
7
)
r
r
=
5
⋅
(
1
2
)
⋅
(
7
22
)
r
=
35
44
Since the diameter is twice the radius,
d
=
35
44
⋅
2
d
=
35
22
Frank and Jasmine use the same trail for their Saturday walk. Frank walks at an average pace of 2 miles per hour. Jasmine starts when Frank is at the 3 mile marker and walks at an average pace of 4 miles per hour. Write an algebraic equation that could be used to determine how many hours Jasmine will walk before she catches up to Frank.
Answer:
Jasmine will walk 1hr:30min before she catches up to FrankStep-by-step explanation:
let the distance of the trail be x
and let the time be t
given that franks average speed is 2 miles per hour
the distance covered by Frank is x-3
the time taken by Frank to cover the distance is
we know that speed=distance/time
2=x-3/t
2t=x-3
x=2t+3---------1
Jasmine speed= 4 miles per hour
speed=distance/time
4=x/t
x=4t--------2
equating 1 and 2 above we have
2t+3=4t
solving for t we have
4t-2t=3
2t=3
t=3/2
t=1.5
That is 1hr 30 min
Help me with my math question im gonna give you 10 points just to answer that thankkkkkkkkkkkkkkkkkk you
Question 1
Use the figure below for questions 1 – 4.
1. Name a plane parallel to plane DEF.
2. Name a segment parallel to FC.
3. Name a segment parallel to AB.
4. Name a segment skew to DE.
Answer:
1. plane parallel- ABC
2. segment parallel- DA
3. segment parallel- DE
4. segmney skew- FC
The required answers are,
1. A plane parallel to plane DEF is ABC.
2. A segment parallel to FC is AD.
3. A segment parallel to AB is DE.
4. A segment skew to DE is FC.
What are segments and planes?A segment is a set of points consisting of two points of the line called the endpoints, and all of the points of the line between the endpoints.
In mathematics, a plane is a flat, two-dimensional surface that extends indefinitely.
Now from the given figure following information can be extracted-
Plane of DEF is parallel to plane ABC,
Segment FC is parallel to segment AD,
Segment AB is parallel to segment DE,
Segment DE is skew to segment FC.
Thus, the required answers are,
1. A plane parallel to plane DEF is ABC.
2. A segment parallel to FC is AD.
3. A segment parallel to AB is DE.
4. A segment skew to DE is FC.
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PLZ HELP! PART OF A UNIT TEST IN K12! MARKING BRAINLIEST FOR CORRECT ANSWER! simplify: (√−27) * (√−32)
PLEASE HELP ME
WILL AWARD BRAINLIEST
Answer:
I think the answer is b
Step-by-step explanation:
there are the same number of squares in both shapes.
The answer is B
Because they have the same number of boxes, they are just rearranged in the second picture.
Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age,
if his father is 44 years old. ( 13 years)
please help
Answer:
Step-by-step explanation:
In order to find the answer, let's work backwards to find the original. We have to do the opposite to get to the Raju's age. We will start with his fathers age. (44) Then we will subtract five from it so that it will be divisible by three.
44 - 5 = 39
Then we just have to divide by 3.
44/3 = 13
His age is 13 years old.