Answer:
49 feet
Step-by-step explanation:
twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.
Hilary walked 654 feet in 3 minutes. She says she walked 218 feet per minute. Is Hilary’s
answer reasonable? Explain.
The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?
7
10
12
22
Answer:
[tex]\displaystyle b = -22[/tex]
Step-by-step explanation:
We are given the function:
[tex]\displaystyle f(x) = (x^3+bx+6)(g(x))[/tex]
Where b is a constant and g is a differentiable function.
And we want to determine the value of b such that f'(2) = 0.
Find f' using the product rule:
[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ (x^3+bx+6)(g(x))\right] \\ \\ & = \frac{d}{dx}\left[ x^3 + bx + 6\right] g(x) + (x^3+bx+6)\frac{d}{dx}\left[ g(x)\right] \\ \\ & = (3x^2+b)(g(x)) + (x^3 + bx + 6)(g'(x))\end{aligned}[/tex]
Substitute using known values and solve for b:
[tex]\displaystyle \begin{aligned}f'(2) = 0 & = (3(2)^2+b)(g(2)) + ((2)^3+b(2)+6)(g'(2)) \\ \\ 0 & = (12+b)(3) + (14+2b)(-1) \\ \\ 0 & = 22 +b \\ \\ b & = -22\end{aligned}[/tex]
In conclusion, the value of b is -22.
The function f is given b is a constant and g is a differentiable function the value b (-8.4),
Let's start by finding the derivative of the given function f(x) with respect to x:
f(x) = (x³ + bx + 6) × g(x)
Using the product rule for differentiation, the derivative of f(x) is:
f'(x) = (x³ + bx + 6) × g'(x) + g(x) × (3x² + b)
Now we are interested in finding the value of b for which f'(2) = 0. So, let's plug in x = 2 and use the information given about g(2) and g'(2):
f'(2) = (2³ + 2b + 6) × g'(2) + g(2) × (3 × 2² + b)
Since g(2) = 3 and g'(2) = -1,
f'(2) = (8 + 2b + 6) × (-1) + 3 × (3 × 4 + b)
= (2b + 14 - 8) + 3× (12 + b)
= 2b + 6 + 36 + 3b
= 5b + 42
Now, we want to find the value of b for which f'(2) = 0:
5b + 42 = 0
Subtracting 42 from both sides:
5b = -42
Dividing both sides by 5:
b = -8.4
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Complete question:
The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?
7
10
12
22
-8.4
can someone drop the awnser please
Answer:
b
Step-by-step explanation:
Answer: if you can choose multiple its c and d, otherwise i would just use c
Step-by-step explanation:
please help ill mark brainliest
Answer:
I think the answer is c now I'm using words to meet the 20 character minimum
A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 364 gallons?
Answer:
Step-by-step explanation:
Let x be gallons of 7%
Let y be gallons of 3%
364 = x + y
y = 364 - x
364(0.06) = x(0.07) + y(0.03)
364(6) = x(7) + y(3)
364(6) = 7x + 3y
364(6) = 7x + 3(364 - x)
364(6 - 3) = 7x - 3x
364(3) = 4x
x = 273
y = 364 - 273 = 91
273 gallons of 7%
91 gallons of 3%
Is the point (-2, 5) a solution to the equation 2x + 5y = 0?
Answer:
No
Step-by-step explanation:
substitute -2 for 'x' and 5 for 'y'
2(-2) + 5(5) = 0?
-4 + 25 = 21, not 0
Judith bought a rowboat priced at 671.65.shipping anf handling cost and additional 20% of the prices What was the total cost of the rowboat,including shipping and handilng?
Answer:
805.98
Step-by-step explanation:
671.65x.20=134.33
134.33+671.65=805.98
88π
Rational or irrational
Good answer i mark brainlest
Answer:
Irrational
Step-by-step explanation:
The number is irrational because when you convert it to decimal form, you get 276.4601... a repeating decimal that goes on and on.
Answer:
IrrationalStep-by-step explanation:
π is irrational and 88 is rational number.
The product of the two is irrational.
Plssss help!!! Asap tyyy.
Answer:
1):Reaction
2):Action
3):Thought
4): Dialogue
Step-by-step explanation:
Answer:
Mrs. Boggs's generously inspired us to study harder - Reaction Mrs. Boggs agreed to tutor us all before the test - Action I believe that Mrs. Boggs is the most caring teacher I know - Thought "Of course I will tutor you before the test" she said - DialogueStep-by-step explanation:
Hoped this helped.
4. Solve the equation using square roots.
x2 + 10 = 9
Answer:
+1/-1
Step-by-step explanation:
assuming the original phrase is x^2
x^2 + 10 = 9
x^2 = 1
x = +/- 1
HELPPP I need help Bc yeaa…
Answer:
hehehehe hey lois im in brainly
Step-by-step explanation:
this is so fricking epic
Carter has a rope that is 6 meters long. He cuts the rope in half. Then he cuts one of the halves into pieces that are 1-third meter each.
He would have 4 pieces of rope
Izzo's Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what she found.
Type of Crust Number Sold
Thin crust
344
Thick crust
391
Stuffed crust 155
Pan style
185
Based on this information, or the next 3500 pizzas she sells, how many should she expect to be thin crust? Round your answer to the nearest whole number. Do
not round any intermediate calculations.
-1⅓ + 2⅓ what is answer
I need help with this badly. It's geometry and angles.
Answer:
∠ C = 118°
Step-by-step explanation:
DE = DF , then Δ DEF is isosceles with base angles congruent , then
∠ DEF = ∠ DFE = [tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62°
∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so
∠ DFB = 180° - 62° = 118°
BCDF is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ C = ∠ DFB = 118°
A vehicle was travelling at a speed of 72km per hour. What distance did it cover in 2 hours? A. 158km B. 148km C. 168km D. 144km
Answer:
D. 144km
Step-by-step explanation:
If the vehicle travels 72km every hour, in two hours, it will drive 144km. (72x2=144)
Find the least common denominator for these fractions. Enter your answer in
the space provided.
5/6
and
5/4
Answer:
LCD = 12
Equivalent Fractions with the LCD
5/6 = 10/12
5/4 = 15/12
Step-by-step explanation:
Rewriting input as fractions if necessary:
5/6, 5/4
For the denominators (6, 4) the least common multiple (LCM) is 12.
LCM(6, 4)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
5/6 = 5/6 × 2/2 = 10/12
5/4 = 5/4 × 3/3 = 15/12
I used a least common denominator calculator so I hope this helped!!
limx→0
tan x − x
x − sin x
Answer:
Please understand me download an math algebra in play storeHelp please hhjhhkkkki
Answer:
000
Step-by-step explanation:
000
Answer:
[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]
Step-by-step explanation:
[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = \lim_{x\to 0^+} \tan(x) - \lim_{x\to 0^+} \frac{1}{x^2} $[/tex]
and
[tex]$\lim_{x\to 0^+} \tan(x) = \tan(0) = 0$[/tex]
[tex]$\lim_{x\to 0^+} \frac{1}{x^2} = +\infty$[/tex]
Therefore,
[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]
Solve the following system of equations.
x - 2y = -2
7x - 3y = 19
Answer:
Step-by-step explanation:
x-2y=-2 x=2y-2
7x-3y=19
substitute x with 2y-2
7(2y-2)-3y=19 14y-14-3y=19 11y=33 y=3
substitue 3 for y
x-2(3)=-2 x-6=-2 x=4
x=4, y=3
btw if theres more similar questions like this use symbolab a website that solves and show you step by step in solving equations
really useful
(422 +
+ 72 – 8) and (-2 + 3)
-
Answer:
HHSheikh Zayed road is dream of a great weekend and It is a great day ☺️ is the only thing I would like to know that you have received your name is a great day and time of year for me is the only thing I want ☺️☺️ and time again and time of reading is a great time of year for the only way we can do it in a few more days to get to get to the only thing that you have a few more days to get to the next day ☺️ is a great weekend too and time of year is the next
Step-by-step explanation:
return policy and time again and I will be in touch with you have any questions or need any further information please contact me at the only thing I would be in touch with ☺️ is the best ☺️ and time is a good time of the only thing I would
find the 99th term of the arithimic sequence 2, 5/2, 3, 7/2, ...
Answer:
99th term is 51
Step-by-step explanation:
Arithmetic sequence equation
a1= first term = 2
d= common difference = 0.5 or 1/2
2, 5/2 = 5/2 - 2 = 0.5 or 1/2
3 - 5/2 = 1/2
7/2 - 3 = 1/2
an = a1 + (n - 1)d
a99 = 2 + (99-1) 1/2
a99= 2 + 98 (1/2)
a99 = 2 + 49
a99 = 51
lcm of 5,12 and 20????,
Answer: 60
Step-by-step explanation:
Ryan works at the donut shop where he makes $10.25 per hour He also works part time at the school bookstore where he makes $8.75 an hour if he worked 20 total hours last week and made $196 how many hours he did work at the bookstore?
Answer:
aprometly 19 I think
Step-by-step explanation:
cause don't you have yo divide 196 ÷ 10.25
Solve for x. Round to the nearest hundredth. 10^x = 42
Answer: The answer is 1.62.
Explanation: It is in the image.
The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is increasing at a rate of 9 cm/s. Find the rate at which the area of the triangle changes when the height is 12 cm and the base is 4 cm.
Provide your answer below:
The rate of change of the area of the triangle is ___ cm²/s.
Answer:
Step-by-step explanation
Area of a triangle
A = ½bh
dA/dt = ½(b(dh/dt) + h(db/dt)
dA/dt = ½(4(9) + 12(-5))
dA/dt = ½(36 - 60)
dA/dt = ½(-24)
dA/dt = -12 cm²/s
The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].
The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to an area of an open surface or even the boundary of a three-dimensional object, whereas the area of a plane region as well as plane area refers to a area of a shape or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of a curve's length.
A shape's area can be calculated by contrasting it with squares of a known size.
[tex]\frac{\mathrm{d} b(t)}{\mathrm{d} t}=-5cm/s[/tex]
[tex]\frac{\mathrm{d} h(t)}{\mathrm{d} t}=9 cm/s[/tex]
[tex]\frac{\mathrm{d}A }{\mathrm{d} t}=\frac{1}{2}\left (b\frac{\mathrm{d} h}{\mathrm{d} t} +h\frac{\mathrm{d} b}{\mathrm{d} t}\right )[/tex]
[tex]\frac{\mathrm{d} A}{\mathrm{d} t}=-12 cm^{2}/s[/tex]
Hence, The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].
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Find the Simple interest paid for eight years on a $850 loan at 7.5% a year
Answer:
850 divided by 7.5
Step-by-step explanation:
Can anyone help me with this!
Answer:
I think 14 if not 10
Step-by-step explanation:
<%) pizza
Enter the number that belongs in the green box
Answer:
8
Step-by-step explanation:
8
Please help me prove that ED is congruent to BA! I thought I had it right by proving right and vertical angles, but I’m missing something
Step-by-step explanation:
[tex]\overline{DA} \text{ bisects } \overline{EB}[/tex] is given
[tex]\overline{BC} \cong \overline{EC}[/tex] definition of bisect
[tex]\overline{EB} \perp \overline{ED}, \, \overline{EB} \perp \overline{BA}[/tex] are both given
[tex]\angle B, \, \angle E \text{ are right angles}[/tex] definition of perpendicular
[tex]\angle B \cong \angle E[/tex] because all right angles are congruent
[tex]\angle{ACB} \cong \angle{DCE}[/tex] vertical angles are congruent
[tex]\triangle{ACB} \cong \triangle{DCE}[/tex] ASA (angle-side-angle)
[tex]\overline{ED} \cong \overline{BA}[/tex] CPCTC (corresponding parts of congruent triangles are congruent)
