Answer:
The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.
The volume of a sphere is decreasing at a constant rate of 23 cubic centimeters per
second. At the instant when the volume of the sphere is 7 cubic centimeters, what is
the rate of change of the radius? The volume of a sphere can be found with the
equation V 28. Round your answer to three decimal places.
The rate of change of the radius is 1.32cm²/s
The formula for calculating the volume of a sphere is expressed as:
[tex]v = \frac{4}{3} \pi r^3[/tex]The rate of change of the volume is given as:
[tex]\frac{dv}{dt} = \frac{dv}{dr} \cdot \frac{dr}{dt} \\\frac{dv}{dt} = =4 \pi r^2 \cdot \frac{dr}{dt} \\[/tex]Given the following paramters;
dv/dt = 23cm³/s
Volume = 7cm³
Get the radius of the sphere:
7 = 4/3 πr³\
21 = 4πr³
r³ = 21/4π
r = 1.18 cm
Get the rate of change of the radius to have:
[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]
Hence the rate of change of the radius is 1.32cm²/s
Learn more on volume of a sphere here: https://brainly.com/question/22807400
Jeremy brought a sandwich and a drink that cost him $7. His drink cost $1.75. Solve the equation 7=s + 1.75 to find s, the cost of Jeremy’s sandwich.
Answer:
the answer is 5.25
Step-by-step explanation:
subtract the amount from the drink and should give you the cost of the sandwich
What is the range of this graph?
The range is the y value of where the dots are located.
Answer: (3,4,5,6)
Find the solution(s) of the system of equations:
y = –x2 + 4x + 5
y = x2 + 2x + 1
a. (–1,2) and (2,17)
b. (1,0) and (–2,9)
c. (1,4) and (2,9)
d. (–1,0) and (2,9)
The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
y = –x2 + 4x + 5 y = x2 + 2x + 1Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
Learn more on equations here: https://brainly.com/question/16863577
What is the domain and range ?
Answer: domain are the ones that go side to side or the x range is the ones that go up and down or the y
Step-by-step explanation:
Pls answer this problem
100 pts. & will give brainliest! answer asap
every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.
c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds
d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.
First we need to differentiate y
[tex]\\ \sf\Rrightarrow \dfrac{dy}{dx}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)[/tex]
[tex]\\ \sf\Rrightarrow -32x-110[/tex]
Now let it be 0
[tex]\\ \sf\Rrightarrow -32x-110=0[/tex]
[tex]\\ \sf\Rrightarrow -32x=110[/tex]
[tex]\\ \sf\Rrightarrow x=|110/-32[/tex]
[tex]\\ \sf\Rrightarrow x=3.44s[/tex]
Put it in y
[tex]\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2[/tex]
[tex]\\ \sf\Rrightarrow y=204.05ft[/tex]
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 380 milliliters of a dressing that is 7% vinegar. How much of each brand should she use?
Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.
Step-by-step explanation:We want the total mixture to be 310mL so: F + S = 310
Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)
Now, we can solve the system of equations using substitution.
F + S = 310
.06F + .11S = .08(310)
F = 310 - S [solve 1st equation for F]
.06(310 - S) + .11S = .08(310) [substitute into 2nd equation]
18.6 -.06S +.11S = 24.8
.05S = 6.2
S = 124
F + 124 = 310 [substitute answer for S back into original equation]
F = 186
Aaron noticed that he caught 8 pidgeys for every Squirtle when he played Pokémon Go. If Aaron caught 104 Pidgeys how many Squirtles did he catch?
Answer:
He caught 13 squirtles
Step-by-step explanation:
104/8 = 13 squirtles
Squirtles divided by pidgeys
9000 dollars is placed in an account with annual interest rate of 7.75 how much will be in the account in 18 year nearest cent
Answer:
9139.50
Step-by-step explanation:
since it didn't mention any withdraws from the account or any charges, its just a matter of multiplying 7.75 by 18 and adding it to the original balance.
Answer:
9139.50
Step-by-step explanation:
URGENT! WILL MARK BRAINLIEST!!
Write an inequality that represents the graph.
(it’s #4)
First to get it will get Brainly and 20 points. Good luck
[tex] \frac{1}{2} [/tex]
Answer:
the correct answere is 1:2
Step-by-step explanation:
my sister is working on the same thing and I helped her and she got it right.
A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
Answer:
the baseball traveled 66 feet per second if that helps
Step-by-step explanation:
PLEASE HELP‼️‼️ILL MARK BRAINLYEST ‼️‼️I MEAN IT PLEASE ‼️‼️‼️‼️‼️‼️‼️15 POINTS PLEASE ‼️‼️
Given the two similar triangles below, which proportion is not true?
Answer:
1. Yes; 2. Yes ; 3. No; 4. Yes
Step-by-step explanation:
The proportion will have to be read the same way. For example top Δ bottom to the lower Δ bottom (locate in the same place)
14/21 = 6 /9 Yes because the top Δ bottom to lower Δ bottom = top side to
lower same side
13.5/21 = 9/ 14 Yes because the same two sides to the same two sides in
the lower Δ
9/13.5 = 6 21 No because top Δ side to lower Δ same location but the
second one top Δ side to the lower bottom
14 /6 = 21/6 Yes because top Δ bottom to top side = lower Δ bottom to
lower side (in the same place)
Adding this so you can give the other dude the brailyist
16.A company sells calculators for $35 each. Businesses
must order a minimum of 100 calculators, and they
must pay a shipping cost of $50. Which amount of
money represents a reasonable sum that a business
might spend to purchase calculators?
F $750
H $2990
G $1070
I $3585
Answer: $3550 or letter: I
Step-by-step explanation: 35*100= $3,500 + $50 (tax)= $3,550 or in your case it is closest to letter i
What is the image of O(1,4) after two reflections, first across the line y = 4, and then across
the line x = -2?
(-5,4)
(-2, 4)
(-1,8)
(1,4)
Answer:
A. (-5,4)
Step-by-step explanation:
A reflect on y=4 does not affect point (1,4) since it is on y=4
So a reflect on itself is the same
A reflection of x= -2 is trickier
Since the distance between x=-2 and (1,4) is 3 (I am only counting x-axis the distance between -2 and 1 is 3)
So we have to start at (-2,4) (Since the y-axis, "4" didn't change) and move it 3 points to the left
Which is (-5,4)
Thus A
Hope this helps!
help!!!!!!!!! I need help
Answer:
x = 60 cm
Step-by-step explanation:
If we assume the figures are similar, then corresponding sides are proportional.
x/36 = 35/21
x = 36(35/21) = 60 . . . . cm
_____
You can consider the ratios of side lengths. Shortest to longest, they are ...
7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60
The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.
Answer this question!
Answer:
I would tell you
Step-by-step explanation:
you need to put 2 y and 2 x and that you need to divide
Find the area of the circle. Use 3.14 for pi *
87.9
614.5
153.8
43.9
Answer:
614.5
Step-by-step explanation:
Hope this helps!
Answer:
87.9
Step-by-step explanation:
The formula for the area of a circle is pi times r to the power of two, written as πr^2. so we input our values.
πr^2
(3.14)(14^2)
(3.14)(196) ≈ 87.9
2x2 cuantos porfasss
Answer:
4
Step-by-step explanation:
Answer:
2 x 2 = 4
Step-by-step explanation:
if you count 2 2 times then you would get 4. EASY
evaluate each expression if r=12 s= -4 t= -6
rs divided by 16
Answer:
-3
Step-by-step explanation:
r = 12
s = -4
t = -6
Equation
rs ÷ 16
12(-4) ÷ 16
-48 ÷ 16
-3
The value of the expression rs ÷ 16 at r = 12, s = -4, and t = -6 will be negative 3.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ rs ÷ 16
The value of the expression at r = 12, s = -4, and t = -6 will be given as,
⇒ [12 × (-4)] ÷ 16
Simplify the expression, then we have
⇒ [12 × (-4)] ÷ 16
⇒ - 48 / 16
⇒ - 3
The worth of the articulation rs ÷ 16 at r = 12, s = - 4, and t = - 6 will be negative 3.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
2.
In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.
Answer: the answer is 3.7%
Step-by-step explanation:
We know there’s total 80 glasses and if 3 are broken we can represent it in a fraction which is 3/80
3/80=0.0375
to find percentage take 0.0375 and multiply it by 10 to get 3.7
therefor the answer is 3.7%
What is the slope of the line containing (-2, 5) and (4, -4)?
Answer:
B. - 3 / 2
Step-by-step explanation:
Let,
( x1, y1 ) = ( - 2, 5 )
So,
x1 = - 2
y1 = 5
( x2, y2 ) = ( 4, - 4 )
So,
x2 = 4
y2 = - 4
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( - 4 - 5 ) / ( 4 - ( - 2 ) )
= - 9 / ( 4 + 2 )
= - 9 / 6
Slope = - 3 / 2
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (4, - 4 )
m = [tex]\frac{-4-5}{4-(-2)}[/tex] = [tex]\frac{-9}{4+2}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex] → B
What does geometric progression mean?
Step-by-step explanation:
[tex] \large\tt\underline\blue{a} \underline\pink{n} \underline\green{s} \underline\red{w}\underline \purple{e} \underline\orange{r}[/tex]
A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.
The Wilsons are storing water in case there is a natural disaster. They have 12 small bottles of water that hold 8 ounces each. They also have 4 large bottles of water that hold 24 ounces each. They estimate that they have around 2,000 ounces of water in total. Is that a good estimate?
if f (x) =3(x+3)^2 - 10 then calcutlate f (2)
pls answer todayyy i need help
Answer:
x
=
−
8
−
√
13
3
,
−
8
+
√
13
3
I dont know why the answer is spacing out like this
Someone plz help me! I’m begging!! :(
Answer:
Option D
Step-by-step explanation:
Expanding option A equations:
8 + (3 * y) = 8 + 3y
(8 + 3) * y = 11y
∴ not equivalent.
Expanding option B equations:
(7 - 3) * y = 4y
7 - (3 * y) = 7 - 3y
∴ not equivalent.
Expanding option C equations:
(6 ÷ y) + 13 = [tex]\frac{6}{y} + 13[/tex]
13 + (y ÷ 6) = [tex]13 + \frac{y}{6}[/tex]
∴ not equivalent.
Expanding option D equations:
7 + (y * 5) = 7 + 5y
7 + (5 * y) = 7 + 5y
∴ equivalent.
Hope this helps!
Daniela listened to a popular radio station for 1 hour. Then she made a circle graph to summarize what she had heard.
Complete the table to show the angle measure for each section and the number of minutes that section represents.
Answer:
1.50
Step-by-step explanation:
divide 2 add 5 divide 2 again
The price of an item has been reduced by 20% The original price was $32 find the price of the item now.
Answer:
25.6
Step-by-step explanation:
32-(32*20%)=32-6.4=25.6
2x - 8 algebraic expression
Answer:
Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.
Step-by-step explanation:
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius