Step-by-step explanation:
f(x) = x√(x+8)
When f(x) = 0,
0 = x√(x+8)
x = 0, x + 8 = 0
x = -8
f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0
0 = √(x+8) + 1/[2√(x+8)] (x)
-2(x+8) = x
-2x - 16 = x
x = -16/3
(-8 < -16/3 < 0)
Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.
Which of the following are not polynomials?
A. x^2+2sqrtx+1 B. 2/x^2+x+1 C. 2/3x^2+x+1 D. x^2+ sqrt2x + 1 E. x^-2+x+1
Answer:
A
Step-by-step explanation:
Ronnie raises chickens and pigs. He has 220 animals. He counted 640 legs. How many chickens does Ronnie have? Explain your thinking.
Answer:
f all his animals were pigs, there'd be 880 legs, There are 240 legs missing which represents 120 chickens (so he has 220 - 120 100 pigs.)
Check: (120 x 2) + (100 x 4) = 240 + 400 = 640 QED
Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank contains 22,917 L at 2:45 PM and 8,077 L at 5:25 PM the same day, how much water will the tank contain at 6:10 PM that day?
The amount of water that the tank will contain at 6:10 PM that day is 4174 L.
What is a Conversion Rate?
The conversion rate of a physical quantity is the method by which a unit of measurement is changed from one process to another by following a standard conversion rate and dimensional analysis.
From the information given:
The difference in the time from 5:25 PM to 2:45 PM is 2 hours:40 minutesIf we convert 2 hours:40 mins to minutes, we have = 160 minutesThe difference in the water in the tank within these two periods is:
= 22917 L - 8077 L
= 14840 L
In one minute, the amount of Liter is:
= 14840/160
= 92.75 Liter/minute
Similarly, between 6:10 pm and 5:25 pm, there are 45 minutes difference.
Therefore, the amount of water that the tank will contain at 6:10 PM that
day is;
= 45 minutes × 92.75 Liter/minute
= 4174 Liters
Learn more about conversion rate here:
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X squared minus 5x equals 0
can someone plssss help me with this. I WILL MARK BRAINLIEST
Answer:
5 payments
Step-by-step explanation:
First we add up the prices for the lunches and the movies :)
3 x 5 = 15
15 + 9.5 = 24.5
Second we subtract the 24.5 from the 35 :)
35 - 24.50 = 10.5
Now we divide the price of the cd player by the 10.50 to get the total number of payments :)
50/10.5 = 5
Finally to check it one more time, we multiply the 10.5 by 5 and if it equals 50 or over, it is correct!! :D
10.5 x 5 = 52.5!!!
You did it!
Your correct answer is 5 payments!!
Have a great day!!!
Please rate and mark brainliest!!
There are 12 cats and 8 dogs
Answer:
isn't the answer 12/20
add the number of pets to make 20
then there are 12 cats
as a fraction
12/20
The national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52, where n is the number of years since 1990. What would be the cost in billions of dollars in 2014?
Answer:
c=98.92
Step-by-step explanation:
first I figured out the number of years between 1990 and 2014.I basicly just subtracted 1990 from 2014 then times it by 2.85 the added 30.52
The cost in billions of dollars in 2014 would be 98.92
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52, where n is the number of years since 1990.
Then c=2.85n+30.52
Solving then subtracted 1990 from 2014
2014 - 1990
= 24
Now
c = 2.85 (24) +30.52
c = 68.4 +30.52
c = 98.92
Hence, the cost in billions of dollars in 2014 would be 98.92
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Find the missing side length using the Pythagorean Theorem.
a²+6² = c²
Answer:
18
Step-by-step explanation:
Hello!
In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.
Let a and b be the legs, and c is the hypotenuse.
a² + b² = c²
In this equation, the hypotenuse is 30, and the measure of one leg is 24.
We can solve this by plugging in the values.
a² + b² = c²24² + b² = 30²576 + b² = 900324 = b²b = 18So the missing side length is 18.
What is the answer? Please simplify!
Answer:
2/125 or 0.016
Step-by-step explanation:
0.1= 1/10
1/10^3 × 2^-4
2 × 1/5^3
2 × 1/125
2/125
Describe how
(2^3)(2^-4)
can be simplified.
Answer:
Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Step-by-step explanation:
your welcome
see the picture below and answer for 50 points and brainliest
Answer:
C. 27.3%
Step-by-step explanation:
The total number of people who ordered a sundae is 22.
The number of those who got crushed candy is 6.
To find the percentage, divide the value (6) by the total value (22), and then multiply it by 100.
Thus, 6 is approximately 27.3% of 22.
find the area bounded by the Curves y=4-x² and y
The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
y = 4 - x² and y = 2x + 1
4 - x² = 2x + 1
x² + 2x - 3 = 0
(x + 3)(x - 1) = 0
x = -3; or x = 1
The area (A) is given by:
[tex]A=\int\limits^1_{-3} {x^2+2x-3} \, dx \\\\A=10\frac{1}{3}[/tex]
The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.
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The dotted lines show how piano wire
is used to slice this cube. What will be
the shape of the cross section?
Answer:
C. rectangle (not a square)
Step-by-step explanation:
So image that the wire just sliced that piece of the cube right off:
It would give you a triangular prism,
HOWEVER, this is asking for the cross section:
The part of this triangular prism that was actually connected to the cube
and in this case, it would show that the bottom of the cut off part is rectangle.
You can also think of this as: What shape would be left over on the cube?
Cutting this piece off would give you a shape left over that is a rectangle.
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answer:
The answer should be 3 :)
Step-by-step explanation:
Pick a point on f(x) and count up until you hit the g(x) point :)
When i did this, i got 3 :)
Have an amazing day!!
Please rate and mark brainliest!!
Evaluate the double integral int int y^3 dA where D is the triangular region with vertices (0,1), (7,0) and (1,1).
Answer:
1/5
Step-by-step explanation:
Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.
The two lines have equations [tex]x=7-6y[/tex] (red line) and [tex]x=7-7y[/tex] (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as [tex]y=mx+q[/tex] since they will become our new limits of integration
Our double integral will become
[tex]\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15[/tex]
What is Barbara's net worth if her assets total $19000, her gross income is $60000, her student loan debt is $28000 (she has no other debts), and her annual expenses (including taxes) total $46000?
Answer:
calculator
Step-by-step explanation:
A cylinder has a height of 19 meters and a radius of 10 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
Pi times radius to the power of two times the height
Step-by-step explanation
i gave you the formula now solve
Gina made a
playlist of children's songs. In 1 hour,
how many more times could she play
"Row, Row, Row Your Boat" than "Twinkle,
Twinkle, Little Star"?
Here's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]ly/3HH[tex]^{}[/tex]Mdaf
Which of the following is described below?
This object is infinitely small. It is
comprised of a single location.
B. Line
A. Point
D. Plane
C. Ray
Answer:
A. Point
Step-by-step explanation:
A point is infinitely small and comprised of a single location.
hope this helps!! p.s. i really need brainliest :)
The object that is infinitely small among the option is a point. Option A is correct.
What is standard measurement?All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.
Here,
The object that is infinitely small among the option is a point. Because there is no instrument that can measure the point. Since a point is nothing but a demonized dot. While line, ray, or plane are infinitely long and their measure can be possible.
Thus, the object that is infinitely small among the option is a point. Option A is correct.
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Write an equation of the line that passes through the points (1, -6) and
(5, -6).
Answer:
Step-by-step explanation:
Hello ;
y= -6
Which best describes what happens when you compose two functions?
O A. You use the input of the first function as the input of the second
function.
O B. You use the output of the first function as the input of the second
function.
O C. You use the output of the first function as the output of the
second function.
O D. You use the input of the first function as the output of the second
function.
Answer:
B. You use the output of the first function as the input of the second
function
Step-by-step explanation:
example
if f is x+2 and g is x+3 then
when you compose two functions
you put g in f where the x is
(x+3) + 2
so
f(g(x)) = (x+3) + 2 =
x + 5
formula is
(f ∘ g)(x) = f(g(x))
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Your new computer cost $1500 but it depreciates in value by about 18% each year. About how long will it take before your computer is worth close to zero dollars, according to your equation?
Answer:
5.5 years
Step-by-step explanation:
100/18 = roughly 5.5 years (5.55555556 to be exact)
Hope this makes sense.
Select the correct answer.
Which pair of statements correctly compares the two data sets?
A.
The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
B.
The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
C.
The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
D.
The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
Answer:
Step-by-step explanation:
Do you still need help?
Find the factorization of the polynomial below.
81x^2 - 18x + 1
A. (9x + 1)^2
B. (18x + 1)^2
C. (18x - 1)^2
D. (9x - 1)^2
Answer:
[tex](9x-1)^2[/tex]
Step by step explanation:
[tex]81x^2-18x+1\\\\=81x^2 - 9x-9x+1\\\\=9x(9x-1)-(9x-1)\\\\=(9x-1)(9x-1)\\\\=(9x-1)^2[/tex]
A local hamburger shop sold a combined total of 517 hamburgers and cheeseburgers on Wednesday. There were 67 more cheeseburgers sold than hamburgers. How many hamburgers were sold
Help me asap
Answer:
c = 292; h = 225
c = cheeseburgers
h = hamburgers
Step-by-step explanation:
2 Equations;
h + c = 517
c = h + 67
h + h + 67 = 517 | Substitution
2h + 67 = 517 | Subtract on Both Sides
2h = 450 | Divide
h = 225
Plug the h value in the second equation to find the value of c.
c = h +67 | Original Equation
c = 225 + 67 | Substitution
c = 292
what is is the volume of a box with 3 inches long 1 inch wide and 5/3 inch tall
Answer:
5 inches cubed
Step-by-step explanation:
Use the formula for volume: V = length * width * height, and plug in the values. V = 1 * 3 * 5/3, which equals 5.
Hopefully this helps - let me know if you have any questions!
An artist has a block of wood that weighs 62.7 ounces. She wants to carve it into a wooden bear to enter in a contest. The rules allow sculptures that weigh up to 45 ounces. Complete and solve an equation to find out how much wood she needs to remove from the block to reach the weight limit.
Answer:
17.7
Step-by-step explanation:
62.7-45=
17.7
yeah sculpting bears are hard
The cost of 5 dozen pencils is rs 300.Find the cost of 7 dozen pencils.
5 dozen = 300
so
1 dozen = 300 : 5 = 60
so
x 7 = rs 420
Answer:
Rs 420
Explanation:
5 dozen pencils → Rs 300Find the cost of each dozen pencils
1 dozen pencils → Rs 60Then multiply by 7
7 dozen pencils → Rs (60 * 7)Final answer:
7 dozen pencils → Rs 420What is the mean , median
write 2.36 x 10^-3 as a decimal number (ordinary form)
Answer:
0.00236
Step-by-step explanation:
Move the decimal left 3 times as the exponent is negitiave 3