the answer is to this is c
SLOT
The population of a certain bacteria varies directly with the temperature. When the temperature is 35 degrees Celsius, there are 7 million bacteria. How many
millions of bacteria are there when the temperature is 38 degrees celcius?
(Just write the number that you get as your answer)
Answer:
Step-by-step explanation:
Had the answer put don't remember
the class marks of a distribution are 37 42 and 47 the class limits corresponding to class mark 42 are
Answer:
[tex]39.5,44.5[/tex]
Step-by-step explanation:
[tex]Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ first\ interval\ be\ u_1,v_1.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ second\ interval\ be\ u_2,v_2.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ third\ interval\ be\ u_3,v_3.\\Hence,\\As\ the\ class\ marks\ are\ uniform\ with\ an\ a\ difference\ of\ 5, the\\ observation\ is\ continuous\ and\ the\ class\ size\ is\ 5\ too.\\Hence,\\v_1=u_2, v_2=u_3\\[/tex][tex]Now,\\Lets\ consider\ the\ first\ two\ classes.\\37=\frac{u_1+v_1}{2} \\42=\frac{u_2+v_2}{2}\\By\ adding\ the\ equations:\\79= \frac{u_1+v_1}{2}+\frac{u_2+v_2}{2}\\79=\frac{u_1+v_1+u_2+v_2}{2}\\79=\frac{(u_1+v_2)+(v_1+u_2)}{2}\\79=\frac{(u_1+v_2)}{2}+\frac{(v_1+u_2)}{2}\\Now,\\As\ the\ mid-point\ between\ two\ points\ can\ be\ calculated\ by\\ its\ average:\frac{u+v}{2} \\Hence,\\u_2\ lies\ in\ the\ mid-point\ of\ u_1\ and\ v_2.\\u_2=\frac{(u_1+v_2)}{2}\\[/tex]
[tex]Hence,\\By\ substituting\ u_2=\frac{(u_1+v_2)}{2},\\79=u_2+\frac{v_1+u_2}{2}\\As\ v_1=u_2[Proven],\\79=u_2+ \frac{u_2+u_2}{2}\\79=u_2+\frac{2u_2}{2}\\79=2u_2\\Hence,\\u_2=\frac{79}{2}\\u_2=39.5\\Now,\ as\ we\ already\ know\ that\ the\ class\ size=5,\\v_2-u_2=5\\Hence,\\v_2=5+u_2\\Here,\\v_2=5+39.5\\v_2=44.5\\Hence,\\The\ upper\ limit\ of\ the\ second\ interval=44.5\\The\ lower\ limit\ of\ the\ second\ interval=39.5\\[/tex]
Show two methods for finding the quotient :
3/8 divided by 3/4
Answer:
Here's one :)
3 x 4= 12 = 1
8 x 3= 24 = 2
-by-step explanation:
The two methods of finding the quotient are flipping the divisor and then multiplying and the second one is converting the fractions into decimals and dividing them.
What are fractions?Fractions describe the part of something present out of the total amount
We know that the result of diving a fraction by a fraction is the same as multiplying that fraction by the reciprocal of the divisor.
∴ (3/8) ÷ (3/4) is,
= (3/8) × (4/3).
= 4/8.
= 1/2.
The second method is converting the fractions into decimals and then dividing them in a conventional way.
3/8 = 0.375 and 3/4 = 0.75.
∴ 0.375 ÷ 0.75 is,
= 0.5.
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Simplify. 3y = 4x - 6
Answer:
y = 4x/3 - 2
Step-by-step explanation:
jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.
Answer:
Step-by-step explanation:
Someone, please help me fill this out
Answer:
Here is the summary:
y = 13x+5 satisfies the points (0, 5) and (-2, -21)y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)y = x-10 satisfies the points (8, -2)Step-by-step explanation:
Given the equation
y = 13x+5y = -3xy = x-10The points which satisfy the equation y=13x+5
y = 13x+5
Checking the point (0, 5)
5 = 13(0)+5
5 = 0 + 5
5 = 5
TRUE
Checking the point (-2, -21)
-21 = 13(-2)+5
-21 = -26 + 5
-21 = -21
TRUE
The points which satisfy the equation y=-3x
y = -3x
Checking the point (0, 0)
0 = -3(0)
0 = 0
TRUE
Checking the point (-5, -15)
y = -3x
-15 = -3(-5)
-15 = -15
TRUE
Checking the point (-3, 9)
y = -3x
9 = -3(-3)
9 = 9
TRUE
The points which satisfy the equation y=x-10
y = x-10
Checking (8, -2)
-2 = 8 - 10
-2 = -2
TRUE
Therefore, from the above calculations we conclude the summary:
Here is the summary:
y = 13x+5 satisfies the points (0, 5) and (-2, -21)y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)y = x-10 satisfies the points (8, -2)please answer!! will give brainliest
Answer:
third option
Step-by-step explanation:
Differentiate using the product rule
Given f(x). g(x) then the derivative is
f(x). g'(x) + g(x). f'(x) ← product rule
Given
[tex]\frac{d}{dx}[/tex](x² secx )
with f(x) = x² and g(x) = secx , then
f'(x) = 2x and g'(x) = secxtanx, thus
[tex]\frac{d}{dx}[/tex](x² secx)
= x². secxtanx + secx. 2x ← factor out xsecx from each term
= xsecx(xtanx + 2) → third option
What is the solution set for this quadratic equation 2(x-3)^2-4=28
Answer: x₁=7, x₂=-1
Step-by-step explanation:
(x-3)^2= x^2-6x+9
2(x^2-6x+9)=28+4
x^2-6x+9=16
x^2-6x-7=0
you use the quadratic equation will give you 2 roots,
x₁=7, x₂=-1
How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?
Answer:
The stack of blocks is 25.96 inches tall
Step-by-step explanation:
Volume of a Cube
Suppose we are given a cube of side L, the volume is calculated by:
[tex]V=L^3[/tex]
If the volume is given, the side can be found by solving for L:
[tex]L=\sqrt[3]{L}[/tex]
We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.
Block 1, volume =375 cube inches:
[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]
Block 2, volume= 648 cube inches:
[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]
Block 3, volume =1029 cube inches:
[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]
Total height=[tex]7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch[/tex]
The stack of blocks is 25.96 inches tall
I REALLY NEED HELP I FORGOT HOW TO DO THIS :(
Answer:
117.8
Step-by-step explanation:
i used heron's formula
√s(s-a)(s-b)(s-c)
s= (20+16+33)/2 = 34.5
√34.5(34.5-20)(34.5-16)(34.5-33)
= 117.8
What is 4×2 to the power of 2-2×2 to the power of two
Answer:
1/4096
Step-by-step explanation:
[tex](4*2)^{{(2-2*2)}^2}\\\\=8^{-2^2}\\\\=[\frac{1}{64}]^2\\\\=\frac{1}{4096}[/tex]
you work from bottom to top
10. A curve has the equation y = ax^3 + x + c, where a
and c are constants. The gradient of the curve at the
point (1, 2) is -2.
(i) Find the value of a and of c.
(ii) Hence, find the coordinates of the other point
on the curve where the gradient is -2.
Answer:
Part I)
[tex]a=-1\text{ and } c=2[/tex]
Giving the equation:
[tex]y=-x^3+x+2[/tex]
Part II)
(-1, 2)
Step-by-step explanation:
We have the equation:
[tex]y=ax^3+x+c[/tex]
Where a and c are constants.
We are given gradient/slope of the curve at the point (1, 2) is -2.
Part I)
We know that the gradient of the curve exactly at the point (1, 2) is -2.
So, we will differentiate our equation. We have:
[tex]\displaystyle y=ax^3+x+c[/tex]
Differentiate both sides with respect to x:
[tex]\displaystyle y^\prime=\frac{d}{dx}\big[ax^3+x+c\big][/tex]
Expand the right:
[tex]\displaystyle y^\prime=\frac{d}{dx}\big[ax^3]+\frac{d}{dx}\big[x\big]+\frac{d}{dx}\big[c\big][/tex]
Since a and c are simply constants, we can move them outside:
[tex]\displaystyle y^\prime=a\frac{d}{dx}\big[x^3]+\frac{d}{dx}\big[x\big]+c\frac{d}{dx}\big[1\big][/tex]
Differentiate. Note that the derivative of a constant is simply 0.
[tex]\displaystyle y^\prime=3ax^2+1[/tex]
We know that at the point (1, 2), the gradient/slope is -2.
Hence, when x is 1 and when y is 2, y’ is -2.
So (we don’t have a y so we can ignore it):
[tex]-2=3a(1)^2+1[/tex]
Solve for a. Simplify:
[tex]-2=3a+1[/tex]
Subtract 1 from both sides yield:
[tex]-3=3a[/tex]
So, it follows that:
[tex]a=-1[/tex]
Therefore, our derivative will be:
[tex]y=-3x^2+1[/tex]
Now, we can go back to our original equation:
[tex]y=ax^3+x+c[/tex]
Since we know that a is -1:
[tex]y=-x^3+x+c[/tex]
Recall that we know that a point on our curve is (1, 2).
So, when x is 1, y is 2. By substitution:
[tex]2=-(1)^3+1+c[/tex]
Solve for c. Simplify:
[tex]2=-1+1+c[/tex]
Then it follows that:
[tex]c=2[/tex]
Hence, our entire equation is:
[tex]y=-x^3+x+2[/tex]
Part II)
Our derivative is:
[tex]y^\prime=-3x^2+1[/tex]
If the gradient is -2, y’ is -2. Hence:
[tex]-2=-3x^2+1[/tex]
Solve for x. Subtracting 1 from both sides yields:
[tex]-3=-3x^2[/tex]
So:
[tex]x^2=1[/tex]
Then it follows that:
[tex]x=\pm1\\[/tex]
Since we already have the point (1, 2) where x is 1, our other point is where x is -1.
Using our equation:
[tex]y=-x^3+x+2[/tex]
We can see that our second point is:
[tex]y=-(-1)^3+(-1)+2[/tex]
Simplify:
[tex]y=1-1+2=2[/tex]
So, our second point where the gradient is -2 is at (-1, 2).
i need an opinion, what do y'all think about this note I wrote. I have another one for another person.
Dear Sierra
I know I have made mistakes in the past
And the happiness inside of me will never last
I'm sorry for all the things I have done
Everything I do was so you will have fun
I'm sorry I'm not there for you
Through all the rough stuff that you been through
I'm sorry I'm not there to help you with your homework
I'm sorry I'm not there to praise your artwork
I've been trying to be there for some time now
Thinking I can be there some how
But as it turns out I'm just a failure
No one noticed my sad behavior
Not Evan you, I mean who would
No one can help, nobody ever could
I geuss I'm just stuck here on this Earth
You don't need me, I mean what am I worth
Nothing, right. It won't hurt because it's the truth
My life is like court now that everyone voted at the booth
It's time for me to go, the majority rule
I'm tierd of being here looking like a fool
Times running out, it's funny how it just flyes by
I love you Sierra and this is Goodbye
Answer:
this is really good but very sad so if thats what you're going for then you did a really good job!! :(
Step-by-step explanation:
Answer:
i love it!!! very cool
Step-by-step explanation:
50 PTS Please help me answer this asap!
Answer:
1. 2x + 1 ≤ 3
2. 1 + 3x ≥ -5
3. 5x - 7 ≥ 17
4. 5 - 3x ≥ 11
Step-by-step explanation:
Ok
5x - 7 ≥ 17
subtract 7 and u get 5x ≥ 10
divide that and you get ≥ 2
so 3 goes with that one
1 + 3x ≥ -5
subtract 1 and you get 3x ≥ -6
divide that and youll get x ≥ -2
so 2 goes with this one
2x + 1 ≤ 3
subtract 1 and u get 2x ≤ 2
divide them and you get x ≤ 1
so 1 goes with this one
5 - 3x ≥ 11
subtract 5 and u get -3x ≥ 6
divide it and u get x ≥ -2
so 4 goes with this one
Hoped this helps :)
also btw Brainly steals half the points you give out so instead of 15 ur giving me 25.
please help me on this!
Answer:
1- no
2- yes
3- no
4- yes
the ones that are no are because they either have x-values that repeat or they have y-values that repeat
Step-by-step explanation:
Find the mode of the following data. 56,34,45,65,67,56,45,36,92,73,92,45,56
====================================================
Explanation:
Original list = {56,34,45,65,67,56,45,36,92,73,92,45,56}
Sorted list = {34,36,45,45,45,56,56,56,65,67,73,92,92}
We see that 45 and 56 both occur three times each, and this is the most occurring or most frequent. So the mode is the set {45, 56}. It is possible to have more than one mode. It is also possible to not have a mode at all if each value in a list only occurs one time.
Answer:
its between 56 and 45 and i havent rlly done this since 5th or 6th grade so
Step-by-step explanation:
Select all of the terms that apply to the shape.
pentagon
hexagon
heptagon
octagon
nonagon
decagon
regular polygon
irregular polygon
concave
convex
Answer:
1,2,4,6,7
Step-by-step explanation:
The given shape is a pentagon, an irregular polygon, and also convex.
What is a polygon?A Polygon is considered to be Concave if its diagonal can lie outside the Polygon as well.
A polygon is considered to be Convex if all of its diagonals lie within it.
A polygon is considered to be regular if it is convex and has equal sides and angles.
If all of the angles and sides of a polygon are not equal, it is said to be irregular.
Here,
The given shape has five sides, which means this is a pentagon.
The given shape has unequal sides, which means this is an irregular pentagon.
The given shape has it's all its diagonals lying inside, which means this is a convex pentagon.
Thus, the given shape is a pentagon, an irregular polygon, and also convex.
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Upper quartile is the point below which .......... *
25 % of the items lie.
50 % of the items lie.
75 % of the items lie.
100 % of the items lie.
Answer:
75 % of the items lie.
Step-by-step explanation:
Upper quartile is the point below which 75 % of the items lie.
20 points, please help I really bloody need it
2. The equation x+2= v-----3x+10 is of the form x+a=v------bx+c ,where a, b, and c are all positive integers and b>1. Using this equation as a model, create your own equation that has extraneous solutions.
(a) Using trial and error with numbers for a, b, and c, create an equation of the form x+a=v-----bx+c, where a, b, and c are all positive integers and b>1 such that 7 is a solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.)
(b) Solve the equation you created in Part 2a.
(c) If your solution in Part 2b did not have an extraneous solution, revise your equation so that 7 is one solution and there is an extraneous solution. If your solution in Part 2b did have an extraneous solution, create another equation with different values of a, b, and c that also has 7 as one solution and an extraneous solution.
Answer:
x plus 3y minus 63
Step-by-step explanation:
25 points-
Please help me-
Answer:
alr i tried, i hope i got them right! <3 pls let me know if i got them wrong.
1. 108 | 6x12 = 72 9x12 = 108 |
2. 91 | 13x7 = 19
3. 19 | 108/6 90/6 = 19/15 |
4. 50. 400/8 = 50
5. 50. 300/6
hope this helped! <3
Step-by-step explanation:
A movie lasts 2 1/3 hours james watches 3/4 of the movie then pauses it while he eat dinner how long did he spend watching the movie. And how did you solve it.
Rewrite the length of the movie as an improper fraction.
2 1/3 = 7/3
Now multiply the length of the movie by 3/4
7/3 x 3/4 = (7 x3) / (3 x 4) = 21/12 = 1 3/4 hours
Please help on timer ill give 15 brainlist
Answer:
B
Step-by-step explanation:
What is the equation in slope-intercept from of the line that passes through the points
( - 4, 2 ) and ( 12, 6 )?
Answer:
This be the ooogggaaaaa boooogaaaaa 696969
Step-by-step explanation:
uhhh
Is 8 a solution to 1/2 x + 9= 13 ?
Answer:
yes the solution is 8
Step-by-step explanation:
subtract 9 from both sides
1/2x+9-9=13-9
simplify
1/2x=4
multiply both sides by 2
2 x 1/2=4 x 2
simplify
x=8
A cheetah ran 196 meters in 8 seconds. Select the TWO correct statements that are true if the cheetah runs at a constant rate.
. The cheetah ran 125 meters in 6 seconds.
. After 10 seconds, the cheetah will have run 245 meters.
. The cheetah ran 24.5 meters per second.
. It took the cheetah 5 seconds to run 125 meters.
Answer:
Step-by-step explanation:
Answers C, D are correct
TBh i really don't know about B because i also think its B but i'm not really that sure but it could be a possibility\
If a cheetah ran 196m is 8 seconds, then 196/8 = 24.5 meters per second.
Let’s verify all answers:
A) 24.5 x 6 = 147. 147m are ran in 6 seconds, not 125.
B) 24.5 x 10 = 245. This answer is correct!
C) We’ve establishes that a Cheetah ran 24.5 meters per second. Correct!
D) Since one minute equals 60 seconds, 24.5 x 60 = 1470. Correct!
E) 24.5 x 5 = 122.5. In this time frame, a cheetah wouldn’t run 125m.
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a1 = 2 and r = 3
a5 = [ ?]
The fifth term is 162 in the geometric sequence.
What is geometric sequence?The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
What is arithmetic sequence?A arithmetic sequence is defined as an arrangement of numbers which is particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
Given data :
First term of sequence geometric (a₁) = 2
The common ratio of geometric (r) = 3
To determine the fifth term of geometric sequence
Let the fifth term of sequence = a₅
The nth term of a geometric sequence is expressed as :
Tₙ = a₁rⁿ⁻¹
Substitute the values of n = 5, a₁ =2 and r = 3 in the formula,
T₅ = (2)(3)⁵⁻¹
T₅ = (2)(3)⁴
T₅ = (2)(81)
T₅ = 162
Hence, the fifth term is 162 in the geometric sequence
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if 5/x = 15/x+20, what is the value of x/5?
Answer:
x = 1/2 or 0.5
Step-by-step explanation:
Brainliest Please!!
- Hermionia
Answer:
The answer is -1/2
Step-by-step explanation:
5/x = 15/x+20
5/x-15/x=20
-10/x=20
-10=20x
x= -10/20
x= -1/2
find perimeter of semicircle if radius is 22 cm (π=22/7)
Answer:
To calculate the perimeter of a circle we have this formula:
[tex]P = 2\pi r[/tex]
And, if we're going to calculate for a semicircle, we should divide it by 2
We should also take into account the diameter, as, if it's a semicircle, we also have to add the base of it, which will have the diameter length
Knowing this, we can see the formula to calculate this specific perimeter
[tex]\frac{2\pi r}{2} + 2r[/tex]
Now, we can replace r by 22:
[tex]\frac{2\pi *22}{2} + 2*22 \approx 113.12[/tex]
So the perimeter is approximately 113.12 cm
4.8n + 3.2n simply the expression mathematics
A meteorologist is measuring the temperature every 15 minutes. She notices the temperature increases by 3/4 degrees Fahrenheit between each measurements for 2 hours. What is the rate per hour of the temperature increase?
Answer:
3 °F/h
Step-by-step explanation:
The rate per hour of temperature change = change in temperature per measurement/change in time per measurement.
Now, the change in temperature per measurement is constant = 3/4 °F and the change in time per measurement is constant = 15 minutes = 15/60 h = 1/4 h.
So, rate per hour of temperature change = change in temperature per measurement/change in time per measurement
= 3/4 °F ÷ 1/4 h
= 3/4 °F × 4/h
= 3 °F/h
So, the rate per hour of temperature change is 3 °F/h