What is the value of f(15) if the function is f(x)=(x)(2x+5)
HELPPPPP
Find the sum of the series 18 +12 +8+16/3...
Answer: who knows what the answers is bruh
Step-by-step explanation:
What is the domain of the relation {(1,-5), (2,3), (-6, -1), (2, 3), (-7, 8), (2, 3)}?
Answer:
all work is pictured and shown
integrate x^2+5 please i need it fast
Answer:
[tex]\frac{1}{3}[/tex] x³ + 5x + c
Step-by-step explanation:
Using the power rule
∫ a[tex]x^{n}[/tex] dx = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex]
Thus
∫ x² + 5 dx
= [tex]\frac{1}{3}[/tex] x³ + 5x + c ← c is the constant of integration
A florist can order roses in bunches of 12 and tulips in bunches of 8. Last month she ordered the same number of roses and tulips. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations
Answer
196
Step-by-step explanation:
12*8=96+100=196
Use implicit differentiation to find the slope of the tangent line at the given point:
Answer:
[tex]\displaystyle \frac{dy}{dx}\Big|_{(1, 1)}=0[/tex]
Step-by-step explanation:
We are given the equation:
[tex](x^2+y^2)^2=4x^2y[/tex]
And we want to find the slope of the tangent line at the point (1,1).
Recall that the slope of the tangent line to a point of a function is given by the function's derivative.
Thus, find the derivative of the equation. Take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=\frac{d}{dx}\left[4x^2y\right][/tex]
Let's do each side individually.
Left:
We can use the chain rule:
[tex](u(v(x))'=u'(v(x))\cdot v'(x)[/tex]
Let v(x) be x² + y² and u(x) is x². Thus, u'(x) is 2x. Therefore:
[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=2\left(x^2+y^2\right)\left(\frac{d}{dx}\left[x^2+y^2\right]\right)[/tex]
Differentiate:
[tex]\displaystyle \frac{d}{dx}[(x^2+y^2)^2]=2(x^2+y^2)\left(2x+2y\frac{dy}{dx}\right)[/tex]
Factor. Therefore, our left side is:
[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)[/tex]
Right:
We have:
[tex]\displaystyle \frac{d}{dx}\left[4x^2y\right][/tex]
We can move the constant multiple outside:
[tex]\displaystyle =4\frac{d}{dx}\left[x^2y\right][/tex]
We will use the Product Rule:
[tex]\displaystyle =4\left(\frac{d}{dx}\left[x^2\right]y+x^2\frac{d}{dx}\left[y\right]\right)[/tex]
Differentiate:
[tex]\displaystyle =4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]
Therefore, our entire equation is:
[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)=4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]
To find the derivative at (1,1), substitute and evaluate dy/dx when x = 1 and y = 1. Hence:
[tex]\displaystyle 4((1)^2+(1)^2)\left((1)+(1)\frac{dy}{dx}\right)=4\left(2(1)(1)+(1)^2\frac{dy}{dx}\right)[/tex]
Evaluate:
[tex]\displaystyle 4((1)+(1))\left(1+\frac{dy}{dx}\right)=4\left(2+\frac{dy}{dx}\right)[/tex]
Further simplify:
[tex]\displaystyle 8\left(1+\frac{dy}{dx}\right)=8+4\frac{dy}{dx}[/tex]
Distribute:
[tex]\displaystyle 8+8\frac{dy}{dx}=8+4\frac{dy}{dx}[/tex]
Solve for dy/dx:
[tex]\displaystyle 4\frac{dy}{dx}=0\Rightarrow \frac{dy}{dx}=0[/tex]
Therefore, the slope of the tangent line at the point (1, 1) is 0.
50 POINTS Iann bought a carpet to cover 500 square feet. He wants to cover a room that is 10feet and 5 inches long by 9 feet and 7 inches. About how much will he have left over for the rest of the house?
Answer:
20.85 ft
Step-by-step explanation:
first convert 7 in to ft than add 9 to it
10×5×9.583 = 479.15ft that's how much carpet he needs for his room
500-479.15= 20.85ft left for the rest of his house
During batting practice 12 balls were pitched to each player if 9 player came to practice how many balls were pitched?
If the player hit an average of 8 balls each, how many balls were hit?
Answer:
108 balls were pitched in total
Step-by-step explanation:
if 9 player came to practice and pitched 12 balls each. the equation would be 9*12=108
Find the equation for the vertical line that goes through point M(−2, 6).
The equation for the vertical line that goes through point M(−2, 6) is x = -2.
The equation of a straight line is:
y = mx + b;
y, x are variables, m is the slope of the line and b is the y intercept.
The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:
x = -2
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Solve the following proportion for x. x/5 = 17/11
Answer:
x=85/11
Step-by-step explanation:
[tex]\frac{x}{5}= \frac{17}{11} \\\\5*\frac{x}{5} =\frac{17}{11} \\\\x=\frac{85}{11}[/tex]
Math problem whoever answers it right gets brainlist
Answer:
the 2nd one
Step-by-step explanation:
look at it again its simple
Un
se nombra usando una única letra
Una
que se extiende infinitamente en dos direcciones, se nombra usando
puntos cualesquiera en ella. Por ejemplo, la recta de la derecha podría recibir los
nombres DE ED
EJ
,0 , entro otros.
M
TI
Answer:
Step-by-step explanation:
yes
Find the midpoint between the lake of points. Make sure to simplify all fractions
Answer: The midpoint is MZ midpoint = (0.5,1)
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-4+3}{2}),(\frac{-1+3}{2} )\\MP= (\frac{-1}{2}),(\frac{2}{2} ) \\\\MP= (-0.5 ,1)[/tex]
-(-21) = -21 true or false
Answer:
False
Step-by-step explanation:
-(-21) is positive 21 since there are 2 negative signs, and -21 is negative, therefore they are not the same.
Hope this helps!
Answer:
False. It is equal to 21.
Step-by-step explanation:
-(21) would equal -21
However,
- (- 21) equals 21
The two negatives "cancel" each other out.
Answer: False. It is equal to 21.
Please Answer ASAP According to the table, which ordered pair is a local maximum of the function, f(x)? (0, 64) (3, –35) (5, 189) (2, 0)
Between which two integers does -13/3 lie?
A -3 and 4
B -2 and -3
C -5 and 6
D -4 and -5
Answer:
-4 and -5
Step-by-step explanation:
- 13/3 is equal to -4.3 so this is why i think this but it maybe wrong.
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and subtracts 3. Write an expression that represents Emily’s number.
Answer:
1/4n - 3
Step-by-step explanation:
1/4 of a number means multiplying 1/4 to n. So we can write 1/4n. Now we write the subtract 3 portion. 1/4n - 3.
The expression n = 1/4n - 3 shows that Emily's number can be obtained by adding 3 to one-fourth of her number.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Emily's number can be represented as:
n
One-fourth of Emily's number can be represented as:
1/4n
Subtracting 3 from one-fourth of Emily's number gives us:
1/4n - 3
Therefore, the expression that represents Emily's number is:
n = 1/4n - 3
This expression shows that Emily's number can be obtained by adding 3 to one-fourth of her number.
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Solve this
equation for m
y = mx + b
Answer:
m is represented as the slope
Step-by-step explanation:
BRUH SOMEONE HELP ME
also explain:)
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
So we have the function:
[tex]w(x)=3x-7[/tex]
And we want to find x when w(x) is 14.
So, substitute 14 for w(x):
[tex]14=3x-7[/tex]
Add 7 to both sides. The right cancels:
[tex]21=3x[/tex]
Divide both sides by 3:
[tex]x=7[/tex]
So, the value of x is 7.
The correct answer is the first option.
Help with the ones marked in red.
Answer:
number 5 is 22
Step-by-step explanation:
5) Determine the Distance between (-3, 1) and (5,-6). Round your answer 10 points
to the nearest tenth. *
22
3
4
5
-2
0
-4
-2
-3
-4
-5
-6
it is 10.63
Step-by-step explanation:
Used a calculator
feet
12. Darcy and Danny were diving on a trip in
the Bahamas. When they stopped to look at a
school of fish, Darcy was 178 feet below the
surface of the water, and Danny was
2
feet
below the surface. Who was closest to the
is
Ire
surface of the water
Danny was closest to the surface of the water.
Here,
Darcy and Danny were diving on a trip in the Bahamas.
When they stopped to look at a school of fish, Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water and Danny was 17/2 feet below the surface.
What is square root?
A square root of a number x is a number y such that [tex]y2 = x[/tex].
Now,
Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water.
⇒[tex]\sqrt{78} = 8.83[/tex]
Danny was 17/2 feet below the surface.
[tex]\frac{17}{2} = 8.5[/tex]
Clearly, [tex]8.5 < 8.85[/tex]
Hence, Danny was closest to the surface of the water.
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Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they drive along the same route how long will it take Mitchell to catch Peter?
Given :
Peter velocity , P = 30 mph .
Mitchell velocity , M = 40 mph .
Mitchell leaves 15 min later .
To Find :
If they drive along the same route how long will it take Mitchell to catch Peter.
Solution :
Distance covered by Peter in 15 min .
[tex]D = 30\times \dfrac{15}{60}=7.5\ miles[/tex]
Let , time taken is x .
So , distance covered b them is equal :
[tex]7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min[/tex]
Therefore , time taken by them is 45 minutes .
Hence , this is the required solution .
A cab company charges $ 2 per cab ride, plus an additional $ 1 per mile driven. How long is a cab ride that costs $ 45 ?
what is the answer to 1/4 - 2/5
Answer:
0.15
Step-by-step explanation:
longerrrrrrrrrrrrr
whats 4x4 +65x67-5+8+9=
4,383 I hope I got that right, Hope it helps!
Sovle for x. 2x + 6 = - r - 15
Answer:
[tex]x = \frac{-r - 21}{2}[/tex]
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Remember to do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 6 from both sides:
2x + 6 (-6) = -r - 15 (-6)
2x = -r + (-15 - 6)
2x = -r + (-21)
2x = - r - 21
Next, divide 2 from both sides:
[tex]\frac{2x}{2} = \frac{-r - 21}{2}[/tex]
[tex]x = \frac{-r - 21}{2}[/tex]
~
what is p-9/3=2 what is p?
p-9/3 = 2
p-9 = 2×3
p-9 = 6
p = 6+9
p = 15... Hope this will help...
The town of hillside has an elevation of 50 feet above sea level. The town of Lakeside has an elevation of -35 feet. A bicyclist rides from Lakeside to Hillside,and wants to find his change in elevation. He finds the difference between his final elevation, 50 feet, and his starting elevation, -35 feet. What is the difference?
Answer:
The difference is 85 ft.
Step-by-step explanation:
Elevation 1: 50 ft
Elevation 2: -35 ft
Difference = Elevation 1 - Elevation 2
Difference = 50 - (-35)
I can simplify this expression, as subtracting a negative number is the same as adding a positive number:
Difference = 50 + 35
Difference = 85
Answer: The difference is 85 ft.
Divide. Write the quotient in lowest terms. 4 2/3 divided by 1/2
Answer:
9 1/3
Step-by-step explanation:
4 2/3 ÷ 1/2
Write the mixed number as an improper fraction
(3 * 4 +2)/3 = 14/3
14/3 ÷1/2
Copy dot flip
14/3 * 2/1
28/3
Divide 28 by 3
9 with 1 left over
Put the left over part on top of the denominator
9 1/3