Answer:
The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.
Step-by-step explanation:
We are given the function, [tex]y = -2x^{2} + 20x + 400[/tex]
where
x = temperature of water (in degrees)
y = number of insect larvae in water
What do the x-intercepts of the graph represent?
The x - intercept is when y = 0, and y is the number of insect larvae in the water. So this means there is NO insect larvae in the water.
[tex]y = -2x^{2} + 20x + 400\\0 = -2x^{2} + 20x + 400\\quadratic \ formula:\\\frac{-20 + \sqrt{20x^{2} -4(-2)(400)}}{2(-2)} \\\frac{-20 +\- 60}{-4} \\\frac{-20 + 60}{-4} = -10\\\frac{-20 - 60}{-4} = 20[/tex]
Hence, when there was no larvae in the water, the water temperature was 20 and -10
what are the solutions to 3x^2+13x=10?
Answer:
Step-by-step explanation:
i hope these help
A square has an area of 81 square inches. What is its perimeter?
Area of square = [tex]s^2[/tex] where, [tex]s[/tex] is the side length of the square.
[tex]81=s^2[/tex]
[tex]9=s[/tex]
s must be positive since it is a side length, so the negative root of 81 is rejected.
Perimeter= [tex]4s[/tex]
Perimeter= [tex]4(9)=36inches[/tex]
Step-by-step explanation:
In order to find the perimeter we need to find the length first ...
...Here, the area is already given ...
Area = 81 inches square
length = ?
Now....
( The formula of area is l × l )
[tex]area = {l}^{2} [/tex]
[tex]81 = {l}^{2} [/tex]
Now we should find square root of 81...
[tex]l = \sqrt{81} [/tex]
[tex]l \: = 9[/tex]
Now we find length so it's easy for us to find perimeter...
The formula of perimeter of square is 4l ..
= 4l
= 4 × 9
= 36 inches
hence the answer is 36 inches....
can you guys help me with this
why this thing says im rude
A pole 3.8 m high casts a shadow that measures 1.3 m. A nearby tree casts a shadow 7.8 m long. Find the height of the tree.
Answer:
22.8 m
Step-by-step explanation:
the 2 situations are similar triangles
the ratio of corresponding sides are in proportion
let h be the height of the tree , then
[tex]\frac{h}{3.8}[/tex] = [tex]\frac{7.8}{1.3}[/tex] ( cross- multiply )
1.3h = 29.64 ( divide both sides by 1.3 )
h = 22.8 m
Korey is planning to open a comic book store. when the store opens, he plans to be the only employee. as the business grows, he will extend his hours of operations and hire additional employees as necessary. in korey’s business plan, this information should be included in the _____ component. a. financial analysis b. organizational plan c. executive summary d. implementation plan please select the best answer from the choices provided a b c d
The information about the how to open a comic book store should be included in the b. organizational plan.
What is organizational plan?An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.
Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.
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Pls find equation of parabola
Answer:
y = - 3x² + 6x + 9
Step-by-step explanation:
given the zeros of a parabola x = a , x = b , then the factors are
(x - a) , (x - b)
here the zeros are x = - 1 and x = 3 , then
factors are (x + 1) and (x - 3)
the equation of the parabola is then the product of the factors, that is
y = a(x + 1)(x - 3) ← a is a multiplier
to find a substitute the point (0, 9 ) into the equation
9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
- 3 = a
then equation is
y = - 3(x + 1)(x - 3) ← expand factors using FOIL
= - 3(x² - 2x - 3) ← distribute parenthesis by - 3
y = - 3x² + 6x + 9
describe the end behavior of f(x)=2x^3
Answer:
as x→+∞, f(x)→+∞ as x→-∞,f(x)→-∞
Step-by-step explanation:
somebody please help me
Answer:
1/18
Step-by-step explanation:
I have provided a tree diagram showing all the possibilities
Answer:
[tex]P=\frac{2}{9}=0.222\\[/tex] for green ball
[tex]P=\frac{2}{8} =0.25[/tex] for red ball
Step-by-step explanation:
For green ball probability will be,
[tex]P=\frac{2}{9}=0.222\\[/tex]
while for the red ball, it will be,
[tex]P=\frac{2}{8} =0.25[/tex]
The solution (-4,0) is a solution to which of the following equations? How do you know?
a)3y-x=4
b)10x+1/2y=3
c)-2x-3y=-4
d)-6x+2y=24
Answer:
Correct option is A)
If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0
Use FOIL to find the quadratic form: x
2
−4x−32=0. Therefore, the correct equation is (A)
Step-by-step explanation:
What do you think?
Don't forget to follow narin ty
Using the image above, what is the measure of Angle D? Round to the nearest hundredth
Answer:
57.1 degrees
Step-by-step=
32.9+90=122.9
180-122.9=57.1
208 ,204 ,200 45th term
Answer
32
Step-by-step explanation:
This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.
is the formula for an arithmetic sequence.
= nth term
a = the first term in the sequence
n = term you are looking for (in this case 45)
d = common difference between the terms (in this case -4)
can someone help me?
2x-3y= -1
y=x-1
What is the slope of the line passing through (5, 5) and (-4, 5)?
i cannot understand this AT ALL (would be glad to have an explanation)
hmmm well, don't be so hmmm off due to it, the wording in the exercise sux0rs bad, is very poorly worded and laid out.
if X and Y are numbers, hmmm say let's give them hmmm ohhh X = 7 and Y = 13.
And X and Y are also complete cubes, well, let's make them so, X = 7³ and Y = 13³.
which of those expressions are complete cubes, or namely, something that we can write as a number with a "3" in the exponent, let's check each one.
[tex]\begin{array}{ll|l|l|lllll} 8X&\implies 8\cdot 7^3& 2^3\cdot 7^3& (2\cdot 7)^3& 14^3 ~~ \checkmark\\&&&&\\ X,Y&\implies 7^3,13^3 ~~ \checkmark&&\\&&&&\\ -X&\implies -7^3~~ \checkmark&&\\&&&&\\ 27XY&\implies 27\cdot 7^3\cdot 13^3& 3^3\cdot 7^3\cdot 13^3& (3\cdot 7\cdot 13)^3& 273^3~~ \checkmark\\&&&&\\ XY+27&\implies 7^3\cdot 13^3+27&(7\cdot 13)^3 + 3^3&&91^3+3^3 ~~ \bigotimes \end{array}[/tex]
what's wrong with the last one? well, if we were to add 91³ + 3³ = 753598. Now, is 753598 a complete cube? well, only if we could write it as a whole number with a "3" above, can we? nope.
we can simply check that by getting the 3rd root of that value,
[tex]\sqrt[3]{753598}\approx 91.00108681228277\impliedby \textit{not a complete cube}[/tex]
1) How big is a horsefly if 1 cm = 1m?
2) How big is the ghost if 1 cm= 20 cm?
3) How big is the kitty if 1 cm = 10 cm?
What is the average speed of a turtle that moved 50 inches in 5 minutes? (speed = distance ÷ time)
A.
55 inches per minute
B.
10 inches per minute
C.
0.1 inches per minute
D.
250 inches per minute
Answer: It would be B 10 inches per minute
Step-by-step explanation: Because if it is (Speed=distance/time) that would mean you would divide 50 into 5 which would be 10 50/5 5x10=50
Question:
9x - 2 = 4x + 9
Answer:
Step-by-step explanation:
9x-2=4x+9
1. 9x-4x-2=4x-4x+9 always isolate a variable which means move 4x to the other side to get 9 by its self.
2. 5x-2+2=9+2
3. 5x=11
4. 5x/5=11/5 get x by itself.
5. x=2.2
check work.
9(2.2)-2=4(2.2)+9
17.8=17.8
Which is the apparent solution set of the system of equations graphed on the grid? a. {(0,0), (3,0)} b. {(0,-2), (1,0)} c. {(0,0), (1.5,2.25)} d. {(-1,-4), (2,2)}
The apparent solution set of the system of equations graphed on the grid is {(-1,-4), (2,2)}
How to determine the solution?The point of intersection of the curves or lines on a graph is the solution of the system of equations
From the complete question, the lines intersect at approximately
(-1,-4) and (2,2)
Hence, the apparent solution set on the grid is {(-1,-4), (2,2)}
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Answer:
D.
{(-1,-4), (2,2)}
Step-by-step explanation:
This should be the answer for Plato/Edmentum users. (Note: not all answers are in the same position. It might be d for me but the answer might be put under any other letter)
The local grocery store is being remodeled. The width of the floor is 84 feet and the length of the floor is 71 feet. What is the perimeter of the floor?
Answer:
the perimeter is the width added to the length
Which expression is equivalent to -15-(-8)
Answer:
the answer is 15-8
I hope this helps you
Answer:
-15+8
Step-by-step explanation:
Quick please!!
Tell whether a triangle with the given side lengths is a right triangle.
14 cm, 23 cm, and 25 cm
PLS I NEED HELP QWQ
Answer:
∠APB = 106°
Step-by-step explanation:
Method 1: Focus on Triangle APB
Every angle of equilateral triangle ABC is 60°
∠BAP = 60°
∠ABP = 60° - 46° = 14°
Total degrees in one triangle is 180°
∠APB = 180° - 60° - 14° = 106°
Method 2: Exterior Angle Theorm
∠APB = ∠PBC + ∠PCB
∠APB = 46° + 60°
∠APB = 106°
When a figure appears to have depth as you look at it, it is called _____________.
A. perspective
B. solid
C. length
D. net
Answer:
the answer would b B solid
Step-by-step explanation:
because the figure appears to have depth as you look at it so it is solid.
i need help with geometry please!
question is in the image above~
the answer is either;
a) 25
b)20
c)18
d)15
Answer:
The answer is 15
Step-by-step explanation:
You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.
please help! find the scale factor and ratio of perimeters for a pair of similar octagons with areas 64ftsq and 81ftsq. i need the scale factor and the ratio of the perimeters!
Answer:
the scale factor and the ratio of their perimeters is 8/9
Step-by-step explanation:
k^2=area 1/area 2
k^2=64/81
=square root if k^2=square root of 64/81
=k=8/9
The radius of the base of a cylinder is 16 cm. The height of the cylinder is 27 cm. Find the surface area and volume of the cylinder.
Answer:
Step-by-step explanation:
SA/Surface area of cylinder=2πrh+2πr^2
SA=2xπx16x27 + 2xπx16^2
SA=864π + 512π
SA=1376π
OR
SA=4322.83 to 2.d.p
3. Find m2ABC.
(2x+14)
(x+7)°
Answer:
Step-by-step explanation:
Solve for x. 8x-6=10x-8
Answer:
x=1
Step-by-step explanation:Let's solve your equation step-by-step.8x−6=10x−8Step 1: Subtract 10x from both sides.8x−6−10x=10x−8−10x−2x−6=−8Step 2: Add 6 to both sides.−2x−6+6=−8+6−2x=−2Step 3: Divide both sides by -2.−2x−2=−2−2 x=1
4√18 using Prime Factorization
For the given number is 4√18 .The Prime factorization would be 4√18 = 2 x 2 x √2 x √3 x √3.
What is prime factorization?Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.
Those composing integers are called factors of that considered integers.
Prime factorization is when all those factors are prime numbers.
Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
For the given number is 4√18
Prime factorization
4√18 = 2 x 2 x √2 x √3 x √3
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what is the GCF of 5 and 14
Answer:
1, because 5 and 14 are divisible by no other number except themselves in this instance only, and for this case, that only number is 1.
Your answer is 1.
Hope this helps