The graphs of the functions (f) and (g) are shown where..
[tex]f(x) = 4.5 \sqrt{x} [/tex]
[tex]g(x) = \frac{1}{9} {x}^{2} [/tex]
Select the TWO closest approximations for solutions to the equations f(x) - g(x) = 0
A.x=0
B.x=5.0
C.x=11.7
D.x=13.5
E.x=20.0
![The Graphs Of The Functions (f) And (g) Are Shown Where.. [tex]f(x) = 4.5 \sqrt{x} [/tex][tex]g(x) =](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/rBxy6yajdPcgTAFdkJ7VWhVOzMm976qW.jpeg)
Answers
Answer:
[tex]\red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}}[/tex]
\orange{ \rule{100pt}{999999pt}} < /p > < p > [tex]at < /p > < p > at</p><p>[tex]at</p><p>
Step-by-step explanation:
f(x) - g(x) = 0
f(x) = g(x)
4.5√x = ⅑ x²
4.5 × 9 = x√x
40.5 = x√x
square it on both side
1640.25= x².x
1640.25 =x³
x=11.7
Related Questions
: Customers arrive at a shopping mart randomly at a rate of 7 per hour.
a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8
b) If a customer arrives at 11. 30 am, find the probability that the next patient arrives before
11. 45 am
Answers
Using the Poisson distribution, it is found that the probabilities are given by:
a) 0.1009 = 10.09%.
b) 0.8262 = 82.62%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Item a:
The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:
[tex]\mu = 1.5 \times 7 = 10.5[/tex]
The probability of exactly 8 customers is of P(X = 8), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]
Item b:
Probability of at least one patient in 15 minutes, hence:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
For 15 minutes, the mean is given by:
[tex]\mu = 0.25 \times 7 = 1.75[/tex]
Then:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
Find the cosine ratio for ∠K
a. 4/5
b. 5/3
c. 3/5
d. 4/3
Answers
Answer:
As Per Given Information
we have been asked to determine the consine ratio of ∠K .
[tex] \bf \: cos \: k = \cfrac{Base}{Hypotenuse} [/tex]
with respect to ∠K .
substitute the given value & let's solve it for k .
[tex] \longrightarrow\sf \: cos \: k \: = \cfrac{30}{50} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{ 3\cancel0}{5 \cancel0} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{3}{5} [/tex]
Therefore,
Cosine ratio for ∠k is 3/5Your answer is (c) 3/5
Solve the System of Equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answers
Answer:
b no. is the correct answer
FLVS
Use the map to answer the question that follows.
Uranium
Silver
Oil
Lead & Zinc
Iron
World Mineral Resources
Diamond
Bauxite
Coal
Copper
Gold
How do the mineral resources in North America compare with the rest of the world?
Previous Question
Answers
Answer:
They have more resources and yeah they just do
Step-by-step explanation:
I have no clue why im just guessing
The area and the perimeter of a square are equal. Find the side
length of the square.
please help me
Answers
Answer:
side length = 4
Step-by-step explanation:
Let x = the side length
Area is x•x, which is x^2.
Perimeter is x+x+x+x, which is 4x.
x^2 = 4x
x^2 - 4x = 0
Factor.
x(x-4) = 0
x = 0 or x = 4
Discard 0 as an answer as it is not useful.
x = 4.
Area = 4^2 = 16
Perimeter = 4(4)= 16
The side length is 4.
Can someone help me please
Answers
Answer:
[tex]6x^2+8x[/tex]
Step-by-step explanation:
Hey there!
In order to find the answer to this question, what you need to do is first find the area of the whole grey box as a whole (including the white box to)
The dimensions for this is 3x+2 and 4x
Now we know that to find area, we need to multiply length by height
So (3x+2)(4x) is what we have to solve to get the area
Now we simplify:
1. Distribute
2. [tex]12x^2+8x[/tex]
So now we know that the total area is [tex]12x^2+8x[/tex]
Now what we do is take out the area of the white box from the area of the grey box
Lets find the area of the white box:
l=3x (l - length)
h=2x (h - height)
[tex]3x*2x=6x^2[/tex]
Now we have the area of both shapes
Since we have all the information we need to find the final answer, the following steps below will be using the information we found to find the final answer:
In order to find the final answer which is the area of the shaded region, we take out the area of the white region from the total area of the grey region (including the white region)
So now we can formulate this new equation:
[tex]12x^2+8x-6x^2= ta[/tex]
(ta= total area)
Now we simplify:
[tex]6x^2+8x\\[/tex] is going to be our final answer
So our final answer is [tex]6x^2+8x[/tex]
I will mark brainliest for the first person to answer my question
Answers
Answer:
A. Line
<------------->
B. Angle
⦟
C. Line Segment
.___________.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
8 1/2
Step-by-step explanation:
14 inch - 5 1/2 inches = 8 1/2 inches
Aba's dog grew 8 1/2 inches.
Answer:
8.5 Inches, 2.78 pounds approximately
Step-by-step explanation:
14- n = 5.5. In this case you will have to subtract 5.5 from 14. 14 - 5.5 = 8.5. You get 2.5 pounds because, 1.10 x 2 = 2.20. 2.75 - 2.20= .55. $1.10 is 70 cents. 55/70 = 11/14= is around .78. 2+.78 = 2.78
Solve the initial value problem d y d x = 2 x 1 , y ( 0 ) = 2
Answers
Using separation of variables, it is found that the solution to the initial value problem is of y(x) = x² + 2.
What is separation of variables?In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.
In this problem, the differential equation is given by:
[tex]\frac{dy}{dx} = 2x[/tex]
Then, applying separation of variables:
[tex]dy = 2x dx[/tex]
[tex]\int dy = \int 2x dx[/tex]
[tex]y = x^2 + K[/tex]
Since y(0) = 2, we have that the constant of integration is K = 2, and the solution is:
y(x) = x² + 2.
More can be learned about separation of variables at https://brainly.com/question/14318343
The differential equation is y(x) = x² + 2.
What is the differential equation?Differential Equations In Mathematics, a differential equation is an equation that contains one or more functions with their derivatives.
The given equation is;
[tex]\rm \dfrac{dy}{dx}=2x[/tex]
Applying the variable separation method;
[tex]\rm \dfrac{dy}{dx}=2x\\\\\int\limits \, dy=\int\limits\, 2x. dx\\\\y = 2 \times \dfrac{x^{1+1}}{1+1} +c\\\\y = 2 \times \dfrac{x^{2}}{2} +c\\\\y = x^2+c[/tex]
The value of c when y( 0 ) = 2 is c =2.
Hence, the required differential equation is y(x) = x² + 2.
More can be learned about the differential equation at;
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#SPJ4
Eif=3:7
f: g=2:3
Work out
eig
Give your answer in its simplest form
Answers
The relationship between e, f and g is an illustration of ratio
The ratio e : g is 2 : 7
How to determine e : g?The given parameters are:
e : f = 3 : 7
f : g = 2 : 3
Multiply e : f by 2.
So, we have:
e : f = 6 : 14
Multiply f : g by 7.
So, we have:
f : g = 14 : 21
Merge both ratios
e : f : f : g = 6 : 14 : 14 : 21
Remove repetition
e : f : g = 6 : 14 : 21
Remove f
e : g = 6 : 21
Divide by 3
e : g = 2 : 7
Hence, the ratio e : g is 2 : 7
Read more about ratios at:
https://brainly.com/question/2784798
in a mixed school, the ratio of boys to girls was 15:11. if there were 435 boys. What is the number of girls
Answers
Answer:
15:11 ,where 15 = 435
So, 11 = 435×11//15 = 29×11 = 319
Hence, No. of girls = 319
Answer:
319 girls
Step-by-step explanation:
Given
Ratio of boys : girls = 15 : 11No. of boys = 435Solving
Let g be the number of girls15/11 = 435/gg = 435 x 11 / 15g = 29 x 11g = 319 girlsWhen buyers buy less of a good, the manufacturer may reduce the ______ of the good or cut back its ____
Answers
Answer:
Price/Cost
Step-by-step explanation:
They may reduce the cost due to the lack of people buying that product, or vice versa.
Write the expression as a product.
25-(a + 7)^2
pls help
Answers
Answer:
-(12+a)(a+2)
Step-by-step explanation:
this is to ez
The expression as a product is (a+12)(-a-2)
What is an expression?An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.
Given that, is an expression, 25-(a+7)², we need to write it in product form, 25-(a+7)²
= 25 - (a²+49+14a)
= 25-a²-49-14a
= -a²-14a-24
Factorizing,
= -a²-12a-2a-24
= -a(a+12)-2(a+12)
= (a+12)(-a-2)
Hence, the expression as a product is (a+12)(-a-2)
Learn more about expression click;
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In 2009, the population of the US was approximately 306,370,370. The number of US live births in 2009 was 4,136,000. The birth rate in 2009, which takes into account changes in the population, fell to _____ births for every 1,000 people. (Fill in the blank. Round answer to one decimal place. Enter your answer in the form xx. X)
Answers
Using proportions, it is found that the birth rate fell to 13.5 births for every 1000 people.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, for 306,370,370 people, there were 4,136,000 births. How many births were there for 1,000 people? The rule of three is given by:
306,370,370 people - 4,136,000 births
1,000 people - x births
Applying cross multiplication:
306370370x = 1000 x 4136000
x = 1000 x 4136000/306370370
x = 13.5
The birth rate fell to 13.5 births for every 1000 people.
More can be learned about proportions at https://brainly.com/question/24372153
evaluate the expression when x = -6: x^2 + 7x + 8
Answers
Answer:
2
Step-by-step explanation:
Basically you plug in -6 where all the x's are.
(-6)² + 7(-6) + 8, Multiply -6 * -6 (AKA (-6)²)
36 + 7(-6) + 8, Multiply 7 by -6
36 - 42 + 8, Add 36 + 8
44 - 42, Subtract
2
P(x) = x^2-4x+4 tại x =2
Answers
If [tex]P(x) = x^2-4x+4[/tex] and x =2
--> [tex]P(2) = 2^2-4(2)+4=4-8+4=0[/tex]
Hope that helps!
A 2-column table with 4 rows. the first column labeled elevation (meters) has entries 500, 1000, 1500, 2000. the second column labeled temperature of air (degrees celsius) has entries 11.8, 8.5, 5.3, 2.0. as elevation increases, temperature decreases. at which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters
Answers
The sound will travel fastest at an elevation of 500m,
Elevation Temperature
500m 11.8°C (MAXIMUM)
1000m 8.5°C
1500m 5.3°C
2000m 2.0°C
Why do sounds travel at a faster rate at high temperatures?Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.
So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.
So, Sound will travel fastest at 500m elevation.
Therefore, At an elevation of 500m, the sound will travel fastest.
To get more about sound waves visit:
brainly.com/question/1199084
Answer:
500 meters
Step-by-step explanation:
Step by step please
Answers
BC^2=AC^2 - AB^2=37^2-35^2
BC^2=1369-1225 =144 = 12^2
BC= 12in
Area of figure = area of a square + area of triangle
Hence the area would be 996in^2
(Brainiest pls took me like 5 minutes solve) Have a great day/night.
What is the value of y in the solution to the system of equations?
1 x + 2 y = 1
2x – 3y = -30
0-8
0-3
03
O 8
Answers
Answer: y = 32/7
Step-by-step explanation:
Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.
Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →
-7y = -32 → y = 32/7. Hope this helps!
What is the simplified form of the following expression? Assume x>0.
3
2X
/
4/bx
2X
4/24 x²
2X
4/244²
1bx4
412x2
Answers
Answer:
I think it's the fourth one.
Name a value for x that will make the statement true.
x<-4
Answers
Answer:
-5
Step-by-step explanation:
-5 is less than -4, and -4 is greater than -5.
Negative numbers become smaller to the left on the number scale.
There are infinite possible answers to this. :)
Answer:
-5
Step-by-step explanation:
-5 is less than -4 and -4 is bigger than -5
What is c in this ixl
Answers
Answer:
11
Step-by-step explanation:
the area of a triangle is bc/2
b = 8.8
c = ?
area = 48.4
48.4 = 8.8c/2
96.8 = 8.8c
c = 11
Please mark as brainliest!
11
Step-by-step explanation:
[tex] \frac{1}{2} \times 8.8 \times c = 48.4[/tex][tex] \frac{8.8 \times c}{2} = 48.4 \\ 8.8 \times c = 48.4 \times 2 \\ 8.8 \times c = 96.8 \\ c = \frac{96.8}{88} \\ c = 11[/tex]mark me brainiest please
Solve each equation by finding square roots. If the equation has no real-number solution, write no solution. N^2 = 81
Answers
Answer:
N = 9
Step-by-step explanation:
N^2 = 81
NxN = 81
N = 9 because 81/9 = 9 and if you don't trust me use a calculator
Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Note: the first term should be b(1).
b(n)=
Answers
The geometric sequence can be represented explicitly or as recursions
The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
How to determine the explicit formula?The sequence is given as:
2, 6, 18, 54, ....
Start by calculating the common ratio (r)
r = b2/b1
This gives
r = 6/2
Evaluate the quotient
r = 3
A geometric sequence is represented as:
b(n) = b1 * r^(n-1)
This gives
b(n) = 2 * 3^(n-1)
Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
Read more about geometric sequence at:
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In 2005, 12.2 out of every 50 employees at a company were women. If there are 48,744 total company employees, estimate the number of women.
Answers
Answer:
12000
Step-by-step explanation:
Using this information, you can make a ratio: 12.2/50 = x/48744
By simplifying this ratio you get that 50x = 594676. Dividing both sides by 50 you get about 11900, which you can round up to 12000
Answer:
11,894 women
Step-by-step explanation:
ratio of women to employees = 12.2 : 50
Let x = number of women employees to 48744 employees
12.2 : 50 = x : 48744
⇒ 12.2 / 50 = x / 48744
⇒ 0.244 = x / 48744
⇒ x = 0.244 · 48744
⇒ x = 11893.536
⇒ x = 11894 (nearest whole number)
Therefore, there are approximately 11,894 women in a company with a total of 48,744 employees
A certain bacterium measures 2. 7 × 10–2 mm. A colony contains 5. 3 × 103 of the bacteria. What is the total length of this colony if it forms a straight line?
Answers
The length of the colony is the product of 5. 3 × 10^3 and the length of the bacteria
The total length of the colony is 143.1 mm
How to determine the length of the colony?The given parameters are:
Bacteria = 2.7 × 10^–2 mm.
Colony = 5. 3 × 10^3 of the bacteria
So, the length (L) of the colony is:
[tex]L = 5.3 * 10^3 * 2.7 * 10^{-2[/tex]
Rewrite as:
[tex]L = 5.3 * 2.7* 10^3 * 10^{-2[/tex]
Evaluate the products
[tex]L = 14.31* 10[/tex]
Evaluate the product
[tex]L = 143.1[/tex]
Hence, the total length of the colony is 143.1 mm
Read more about lengths at:
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what is the value of the expression (-2) to the third power (-2) to the second power
Answers
Answer:
-2 to the third power is -8
-2 to the second power is -4
Step-by-step explanation:
-2 to the 3 power = -2× -2×-2
-2 to the second power is -2×-2
PLEASE HELPPPPPPPPP!!!!! ILL GIVE BRAINLIST
y=3x+2
Given x = 5
y = ?
Answers
Answer:
17
Step-by-step explanation:
replace x with 5
3*5+2
next you use pemdas
you multiply before you add
3*5=15
15+2=17
The large rectangle below represents one whole.
What percent is represented by the shaded area?
%
Answers
Answer:
40%
Step-by-step explanation:
2/5 is shaded
100 divided by 5 is 20
2x20=40
So, each part = 1/5
Part that is shaded = 2/5
Percentage = (2/5)*100
= 2* 20
= 40%
Which one is it? Im stumped.
Answers
Answer:
rational
Step-by-step explanation:
Hope this helps!
If not I am sorry
let's keep in mind that that same/same = 1 always, so then we can say
[tex]\cfrac{spaghetti}{spaghetti}~~ = ~~\cfrac{hippopotamus}{hippopotamus}~~ = ~~\cfrac{meatballs}{meatballs}~~ = ~~\cfrac{dog}{dog}~~ = ~~\cfrac{0.\overline{55}}{0.\overline{55}}~~ = ~~\textit{\huge 1}[/tex]
well, "1" is a whole number
"1" is also an integer oddly enough
"1" can be written as a ration like 1/1, so is also rational.