Answer:
it's a vertical line.
Step-by-step explanation:
only the Y coordinate changes making it vertical
the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3
The question is incomplete. The complete question is :
The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)
Solution :
Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]
Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]
V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]
∴ r = 1
[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]
[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]
[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex] cm/s
Surface area, [tex]$A = 4 \pi r^2$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]
[tex]$=14 \ cm^2/s $[/tex]
54v–42w.
Write your answer as a product with a whole number greater than 1
9514 1404 393
Answer:
6(9v -7w)
Step-by-step explanation:
The greatest common factor of the two terms is 6. Any factor of 6 can be brought outside parentheses:
54v -42w = 2(27v -21w) = 3(18v -14w) = 6(9v -7w)
You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 hours?
Suppose Charli D'Amelio posted 40 dance videos to TikTok. If 65% of the videos have her making up her own moves, how many of the dance videos do not have her making up her own moves?
Step-by-step explanation:
[tex]40 - (40 \div 100 \times 65) = \\ = 40 - (0.4 \times 65) = \\ = 40 - 26 = \\ = 14[/tex]
Find the area of the garden.
Answer:
28yd²
Step-by-step explanation:
area of square = side *side
=6*6= 36²
area of rectangle (patio)= length* breadth
=4*2=8²
area of garden= area of square - area of rectangle
=36-8
=28 yd²
Answer:
28 sq. ydStep-by-step explanation:
For finding the area of the garden :First Case:
Given,
Side of the big square = 6 yd
Therefore,
Area of the big square = side × side
= 6yd × 6yd
[tex] = 36 {yd}^{2} [/tex]
Second Case:
Length of the patio = 4 yd
Breadth of the patio = 2 yd
Therefore,
Area of the patio = Length × Breadth
= 4yd × 2yd
[tex] = 8 {yd}^{2} [/tex]
Last Case:
According to first and second cases,
Area of the garden
= Area of the big square - Area of the patio
[tex] = 36 {yd}^{2} - 8 {yd}^{2} [/tex]
[tex] = 28 {yd}^{2} [/tex]
Hence,Required area of the garden is 28 sq. yd (Ans)
Solve the equation for solutions over the interval [0°, 360°). 7tanθ−7/3cotθ=0
Answer:
Step-by-step explanation:
[tex]7\tan \theta-\frac{7}{3}\cot \theta=0\\\tan \theta=\frac{1}{3} \cot \theta\\\tan^2\theta=\frac{1}{3}\\\tan \theta=\pm \frac{1}{\sqrt{3}}\\when ~\tan \theta=\frac{1}{\sqrt{3}}=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-\frac{1}{\sqrt{3}}=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ[/tex]
solution set is {30,150,210,330}
please answer it's easy
Answer:
did not see that coming
Step-by-step explanation:
Got rickrolled
Clara has 3 bottles of paint. She buys 5 more bottles of paint. If she uses 1/4 bottle of paint to paint a picture, how many similar paintings can she paint with all the paint?
ANSWER:
She has 3+5=8 bottles of paint. 1/4 bottle paints a picture.
8 divided by 1/4 = 32 paintings possible with all the paint
Answer:
32 Paintings
Step-by-step explanation:
8 Bottles 4 per one bottle so 8x4 =32
Hoped this helped.
What property does the following expression demonstrate? 9(3x) = (9x3)x
Answer: x=0,\root(3)(3)
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Brainliest or a thank you please? :))
9514 1404 393
Answer:
associative property of multiplication
Step-by-step explanation:
We assume your equation is ...
9(3x) = (9·3)x
The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.
_____
Additional comment
It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).
Please solve the question with steps.
9514 1404 393
Answer:
c. x + 6
Step-by-step explanation:
The factorization is ...
x(x -3)(x -6)
The factor on the list that is not part of the above expression is (x +6).
_____
More detail
Factoring x from each term gives ...
x(x^2 -9x +18)
Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).
= x(x -3)(x -6)
A dealer buys articles for R7500 and makes the price 30% higher.
What is the selling price of the articles?
Answer:
9750
Step-by-step explanation:
profit amount = 30% of R 7500
= 30/100 *R 7500
= 2250
now
sp = R 7500 + R 2250
= R 9750
What are the zeros of the function f (2) = 12 (2 + 4)?
A. (0,0) and (-4, 0)
B. (1, 0) and (-4, 0)
C. (1, 0) and (4, 0)
D. (0,0) and (4, 0)
Answer:
A. (0,0) and (-4, 0)
Step-by-step explanation:
f (2) = 12 (2 + 4)
f (x) = 12 (x + 4)
x + 4 = 0
x = -4
12 = (0,0)
The 12 is on the outside and is multiplied to x + 4 so the 12 is considered a zero.
(0, 0) and (-4,0)
Another one plssssssssssssssssss
Answer:
3
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
I beleive it is -1 but I could be wrong. Let me know if it is and I will try and correct it
What is the length of a rectangle if its width is 7 feet and its area is 84 square feet?
Answer: The length is 12 feet.
Step-by-step explanation:
What is the unit multipliers for seconds and minutes
Answer:
60 seconds? 1 minute?
Step-by-step explanation:
Answer:
steps below
Step-by-step explanation:
second to minute: 1 min / 60 sec
example: 3600 sec = (3600 sec / 1) * (1 min / 60 sec)
= (3600 * 1 min) / (1 * 60)
= 60 min
minute to sec: 60 sec / 1 min
example: 5 min = (5 min / 1) * (60 sec / 1 min)
= (5 * 60 sec) / (1 * 1)
= 300 sec
f(x)=-2x² + 3x-6, find f (3)
Answer:
f(3) = -15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = -2x² + 3x - 6
f(3) is x = 3 for the function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(3) = -2(3)² + 3(3) - 6Exponents: f(3) = -2(9) + 3(3) - 6Multiply: f(3) = -18 + 9 - 6Add: f(3) = -9 - 6Subtract: f(3) = -15Answer:
f(3) = -15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Algebra I
Functions
Function Notation
Step-by-step explanation:
Step 1: Define
f(x) = -2x² + 3x - 6
f(3) is x = 3 for the function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(3) = -2(3)² + 3(3) - 6
Exponents: f(3) = -2(9) + 3(3) - 6
Multiply: f(3) = -18 + 9 - 6
Add: f(3) = -9 - 6
Subtract: f(3) = -15
How many years will it take for your salary to be $105,000 per year?
Answer:
simple answer in edmentum
Step-by-step explanation:
Can someone help me plss
Answer:
Given, x = 2 and z = 12
z + 5x³
12 + 5×2³
12 + 5×8
12 + 40
52
Don't forget to like and mark me
What is the value of 6 in the number 762
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Hi,
Since the 6 is in the tenths place, it's a 60.
I hope this helps :)
n+4=12 .step by step working please
[tex]n + 4 = 12[/tex]
Subtract sides minus 4
[tex]n + 4 - 4 = 12 - 4[/tex]
[tex]n = 8[/tex]
11 feet
Find the area of the square.
A = ft2
Answer:
area of square = side²
area of square=(11 feet)²
area of square=121 feet²
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.
Please help with this
it's the first answer choice
Step-by-step explanation:
If you add all the pieces of data up and divide the total number by 8 (the amount of pieces of data) you will get the mean. For median you just order them from least to greatest and find the one in the middle. Lastly, for mode you just choose the number that shows up the most.
ANSWER THE QUESTION IN THE PIC BELOW PLEASE
sorry if the pic is blurry if u can't tell what it says beside the line it says 4 in and at the bottom it says 8 in
If Brianna can read 1/4 of her book in 1/2 hour, how much of her book will she read in 1 hour?
Corey spent 18 minutes coloring. She spent 6 times as many minutes reading
Answer:
18 x 6 =108. she spent 108 minutes reading.
Step-by-step explanation:
38 POINTS FOR THIS
pls answer some of these questions or even all ty
Answer:
there are no questions
Step-by-step explanation:
but may i still please have a brainliest
if not then it is ok
write the questions in the comments
Answer:
What questions?
I don't see anything
What is the volume of a cylinder with base radius 2 and height 5?
Either enter an exact answer in terms of 3.14 for pi
Answer:
V ≈ 62.83
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Solution
V=πr 2h = π · 22 · 5 ≈ 62.83185
Therefore, the volume of the cylinder in the nearest tenths is V ≈ 62.83
1.give the sequence 8.5.2.-1,...at what term will the number become -25? A.11th term B.10th term C.12th term D.20th term 2.which of the following is an algebraic esprression? A.3+5 B.n-1-14 C.3+5=8 D.x=53 3.what is the sum of the first 5 even numbers? A.30 B.20 C.10 D.50
Answer: 1. C(12) 2. B(n-1-14) 3. A(30)
Step-by-step explanation: For number one the nth term with common difference d and first term a is a+(n-1)d=nth term, plug in the values you have and solve for n to get 12. For number 2 an algebraic expression has a variable and a constant but doesn't have an equal sign. So it is B. For number three just add them up. Hope this helped!
WILL GIVE BRAINLIEST TO BEST EXPLAINOR
how do you find and (draw) graph slope.
Answer:
y=-x+4
The equation is in the form y=mx+c, where m is the slope and c is the y-intercept, so we know that the slope (m) is -1, and the y-intercept (c) is 4.
The y-intercept is the value of y when x=0. So you can mark (0,4) as a point on the line.
The next thing I would do is take any value for x and find another point on the line. Let's let x=2:
y=-2+4
y=2
So now we know another point on the line (2,2). Mark this on the graph too.
Then connect these two points and extend to the line to finish off your graph, and you're done!
(PS: if the whole 'y-intercept' thing gives you a headache, you can just pick any two values for x, sub them in to find the points, mark those points and connect. There's also a method for graphing using just the slope and y-intercept, but the method above is usually what people prefer to do)
I've attached a sketch that corresponds to my answer to give you an idea: