[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$300\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 300=(2000)(r)(3)\implies 300=6000r\implies \cfrac{300}{6000}=r \\\\\\ \cfrac{1}{20}=r\implies 0.05=r\implies \stackrel{\textit{converting to percent}}{100\cdot 0.05}\implies \stackrel{\%}{5}=r[/tex]
[tex] \frac{dh}{dt} = - \sqrt{5h} [/tex]
Determine
[tex] \frac{ {d}^{2}h }{d {t}^{2} } [/tex]
at h=16
I have attempted this and keep on getting about -0.28, but that is not an option.
If
[tex]\dfrac{dh}{dt} = -\sqrt{5h} = -\sqrt{5} \cdot h^{\frac12}[/tex]
then its derivative, using the power rule, is
[tex]\dfrac{d^2h}{dt^2} = -\sqrt{5} \cdot \dfrac12 h^{1-\frac12} = -\dfrac{\sqrt5}2 h^{-\frac12} = -\dfrac{\sqrt5}{2\sqrt h} = -\sqrt{\dfrac{5}{4h}}[/tex]
At h = 16, the second derivative has a value of
[tex]-\sqrt{\dfrac{5}{4\cdot16}} = -\sqrt{\dfrac{5}{64}} = -\dfrac{\sqrt5}{8} \approx -0.279508[/tex]
Your answer is essentially correct. Either what you submitted doesn't have enough precision or you're expected to give an exact answer (-√5/8).
help please im mark brainliest I just need to get this finish asap!
Answer:
See below
Step-by-step explanation:
1. A
2. F
3. G
4. I
The question in the image! Please hurry :D
Answer:
8.85 * 10 ^17
Step-by-step explanation:
8.2 * 10 ^17 + 6.5 * 10 ^16
They must be to the same power to add
8.2 * 10 ^17 + .65 * 10 ^17
Add
8.85 * 10 ^17
If the function f (x) is defined by f(x) =x over 2 minus 6
Depending on how it is written, it could be either of these following solutions:
f(x) = x/2 - 6 or f(x) = x/(2-6)
For the first, we solve for x by replacing f(x) with 0
x/2 - 6 = 0
x/2 = 6
x = 3
For the second, do the same
x/(2-6) = 0
x/-4 = 0
x = 0
6= 2(y+2) i need help on this
Solve for x: 49.98+12x=61.98+7x
Answer:
X=2.436
Step-by-step explanation:
help asap whoever right get brainiest
Answer:
EF
Step-by-step explanation:
I think the answer is EF because turning the line counterclockwise and 80 degree angle would be that.
1.
Find the value of 5x? if x = -3.
Answer:
-15
Step-by-step explanation:
5 * -3 = -15
x = -3
5x = 5(-3)
5(-3) = -15
A rectangular prism has a length width and height of 2/3
Step-by-step explanation:
A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively.
The volume of the rectangular prism is
24/105
cubic inch.
g(x)=x^2-6/3x+10 g(4)=?
Answer:
g(4) = [tex]\frac{5}{11}[/tex]
Step-by-step explanation:
Substitute x = 4 into g(x) , that is
g(4) = [tex]\frac{4^2-6}{3(4)+10}[/tex] = [tex]\frac{16-6}{12+10}[/tex] = [tex]\frac{10}{22}[/tex] = [tex]\frac{5}{11}[/tex]
_______
[tex] \: [/tex]
[tex] \sf{g(x) = \frac{ {x}^{2} - 6 }{3x + 10} }[/tex]
[tex] \sf{g(4) = \frac{ {4}^{2} - 6 }{3(4) + 10}} [/tex]
[tex] \sf{g(4) = \frac{16 - 6}{12 + 10}} [/tex]
[tex] \sf{g(4) = \frac{10}{22}} [/tex]
[tex] \sf{g(4) = \bold{\frac{5}{11}} }[/tex]
Sally can paint a room in 4hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together.
It would take ___ hours.
(Type an integer of decimal rounded to one decimal place as needed)
Answer:It would take 1.700 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation: then it would be 7 or 9 hours
The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 2.5 L/cm2
A. 322.5 cm
B. 800 cm3
C. 128 cm3
D. 0.008 cm
Answer:
C. 128 cm³
Step-by-step explanation:
16(20) = 320
320/2.5 = 128 cm³
A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1
Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.
Answer:
14 % discount
Step-by-step explanation:
Item she wants to buy is priced at $39
After the discount, and before tax, the price is $33.54.
39.00 x .14 = 5.46
39.00 - 5.46 = $33.54
Answer:
16.13
Step-by-step explanation:
(-7)(1.2) multiplying rational numbers
Answer:
-119
Step-by-step explanation:
Answer:
-8.4
Step-by-step explanation:
-7 x 1.2
What is 10/10 as a whole number
✫ Hello there! ✫
10/10 as a whole number is 1.
If a fraction's numerator is the same as its denominator, then the fraction equals 1.
Hope it helps!
~Just a joyous gal
#CarryOnLearning
Answered by
[tex]-SilentNature-[/tex]
The [tex]\frac{10}{10}[/tex] as the whole number is 1.
Given that,
The fraction is [tex]\frac{10}{10}[/tex]We need to write in a whole number.Based on the above information, the calculation is as follows:
[tex]= \frac{10}{10}[/tex]
= 1
Learn more:brainly.com/question/17429689
x + ( -22 ) = 31
x = ?
x + ( -22 ) = 31
x = ?
Answer :x = 31 - ( -22 )
x = 31 + 22 =
x = 53
x = 53 ✔️
Answer:
52
Step-by-step explanation:
x + (-21)=31
x-21=31
x=31+21
x=52
PLEASE HELP !!! PICS DOWN BELOW
Answer:
262.25 $
Step-by-step explanation:
Lindsey went to best buy and bought an MP3 Player. If the MP3 Player costs $78.99 and the sales tax was 6.5%, what was her total bill?
Answer:
$84.12
Step-by-step explanation:
78.99 x 0.065 = 5.13
78.99 + 5.13 = 84.12
Write the equation of the line that passes through the points (8,3) and (7,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Step-by-step explanation:
the equation :
(y-3)/(3-3) = (x-8) /(7-8)
(y-3) /0 = (x-8) /(-1)
(-1)(y-3) = 0(x-8)
-y +3 = 0
y = 3
(this is a horizontal line)
Answer:
y = 3 (Horizontal line)
Step-by-step explanation:
point: (8, 3) and (7, 3)
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 3)/(3 - 3) = (x - 8)/(7 - 8)
(y - 3)/0 = (x - 8)/(-1)
(-1)(y - 3) = 0
-y + 3 = 0
-y = - 3
y = 3 (Horizontal line)
The speed of a stream is 2 mph. A boat travels 20 miles upstream in the same time it takes to travel 40 miles downstream. What is the speed of the boat in still water?
The speed of the boat in still water is mph.
(Simplify your answer. Type an integer or a decimal.)
Answer: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water…
Step-by-step explanation: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water?
Answer: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water…
Step-by-step explanation: hope this helps
ILL MARK BRAINLIEST HELP PLS
Answer:
Step 1, do math:
-13.6 >= 1.7x
-8 >= x
answer: C
Find the volume of the following square pyramid.
Check the picture below.
[tex]\textit{volume of a pyramid}\\ V = \cfrac{Bh}{3}~~ \begin{cases} B = \stackrel{\textit{area of its base}}{50\times 50}\\ h = \stackrel{\textit{its height}}{60} \end{cases}\qquad \implies V = \cfrac{50\cdot 50\cdot 60}{3}\implies \boxed{V= 50000}[/tex]
Determine f –1(x) if f of x is equal to the quantity x plus 3 end quantity over the quantity x minus 4 end quantity where x 4.
f inverse of x is equal to the quantity x minus 1 end quantity over the quantity 4 times x plus 3 end quantity
f inverse of x is equal to the quantity 4 times x plus 3 end quantity over the quantity x minus 1 end quantity
f inverse of x is equal to the quantity x minus 4 end quantity over the quantity x plus 3 end quantity
f inverse of x is equal to the quantity x minus 3 end quantity over the quantity x plus 4 end quantity
Answer:
Option BStep-by-step explanation:
Given function:
f(x) = (x + 3)/(x - 4)Find its inverse, take f(x) as y and swap x with y
x = (y + 3)/(y - 4)x = (y - 4 + 7) / (y - 4)x = 1 + 7/(y - 4)x - 1 = 7 / (y - 4)y - 4 = 7 / (x - 1)y = 4 + 7 / (x - 1)y = (4x - 4 + 7)/ (x - 1)y = (4x + 3) / (x - 1)Replace y with f⁻¹(x):
f⁻¹(x) = (4x + 3) / (x - 1)Correct choice is B
A x is equal to the quantity x plus 3 end quantity over the quantity x minus 4 end quantity where x 4. at x = 0.5, the inverse function f²(-1)(x) f²(-1)(x) = 0.5
To determine the inverse of the function f(x) = (x + 3) / (x - 4), to follow these steps:
Replace f(x) with -1, since you're looking for the inverse at the point where f(x) = -1:
-1 = (x + 3) / (x - 4)
Solve for x in terms of -1:
Multiply both sides by (x - 4):
-1 ×(x - 4) = x + 3
Distribute the -1:
-x + 4 = x + 3
Solve for x:
Subtract x from both sides:
4 = 2x + 3
Subtract 3 from both sides:
1 = 2x
Divide by 2:
x = 0.5
To know more about function here
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Need help with this 3 questions
Answer:
68. (-1, 0)
69. (0, 2)
70. (2, -1)
Step-by-step explanation:
The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.
The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.
68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.
(x, y) = (-2, 0)
__
69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.
(x, y) = (0, 2)
__
70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.
(x, y) = (2, -1)
_____
It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.
This population chart represents linear or exponential growth?
•linear
•exponential
This is Linear graph.
Linear graph is represented in the form of a straight line. ... If the graph of any relation gives a single straight line then it is known as a linear graph. The word "linear" stands for a straight line. The linear graph is a straight line graph that is drawn on a plane connecting the points plotted on x and y coordinates.
- BRAINLIEST answerer
Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?
Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.
Step-by-step explanation:
What is the equation of this line?
A. y= x - 3 =
B. y=-x-3 =
C. y= -2x - 3
D. y=2x-3 - - 3
Find the area and the circumference of a circle with diameter 7 cm.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
cm
Area:
7 cm
Circumference:
Х
Answer:
area = 38.465^2 cm
circumference = 21.98 cm
Step-by-step explanation:
area =
divide the diameter by itself and multiply radius by itself and multiply by 3.14
7/2 = 3.5 | (3.5)^2 = 12.25 | (12.25) (31.4) = 38.465^2 cm
circumference =
multiply the diameter by 3.14
(7) (3.14) | 21.98
^2 (squared)
Jasmine travels 732 miles at an average speed of 65 mi/hr. How long will it take her to reach her destination? Round your answer to
the hundredths place.
Answer:
11.26 hrStep-by-step explanation:
Use the following equation:
Time = distance / speedt = 732 / 65 = 11.26 (rounded)Answer:11.26 hours
Step-by-step explanation:
