Given :
Ruben put an empty cup underneath a leaking faucet.
After 1 ½ hours, Ruben had collected ¼ cup of water.
To Find :
The rate, in cups per hour, at which the water is leaking from the faucet.
Solution :
Rate in which cup is filling with water.
[tex]R=\dfrac{Portion\ of \ water \ filled }{Time\ taken}\\\\R = \dfrac{\dfrac{1}{4}}{1\dfrac{1}{2}}\\\\R= \dfrac{1\times 2}{4\times 3}\\\\R = 0.167 \ cup/hour[/tex]
Therefore, the rate is 0.167 cup/hour.
Are the following lines parallel, perpendicular or neither?*
7x -8y = 64 and y = - 4x + 15
parallel
perpendicular
O neither
O both parallel and perpendicular
Answer:pAraell
Step-by-step explanation:
Please find the derivative of [tex]x3^{(2x^2-1)}[/tex]. Show all of your work and explain as much as possible.
Hello! :)
[tex]\large\boxed{\frac{dy}{dx} = 3^{(2x^{2} - 1)} (4x^{2}ln3 + 1)}[/tex]
Use the Product Rule to solve for the derivative:
[tex]\frac{dy}{dx}= f(x) * g'(x) + g(x) * f'(x)[/tex]
We can divide the expression into two different functions:
[tex]f(x) = x\\\\g(x) = 3^{2x^{2} -1}[/tex]
Use the Product Rule equation and the following rules to solve for the derivative:
Derivative of an exponential function with base other than e:
[tex]\frac{dy}{dx} a^{u} = a^{u} * u' * lna[/tex]
Power rule:
[tex]\frac{dy}{dx} x^{n} = nx^{(n-1)}[/tex]
Find the derivatives using the power rule and derivative of an exponential function. Plug these into the product rule equation:
[tex]\frac{dy}{dx} = x(3^{(2x^{2} -1)} * 4x* ln3) + (1)3^{(2x^{2} - 1)}[/tex]
Simplify by factoring out a common factor: [tex]3^{(2x^{2} - 1)}[/tex]
[tex]\frac{dy}{dx} = 3^{(2x^{2} - 1)}( x* 4x * ln3) + (1)[/tex]
Simplify further:
[tex]\frac{dy}{dx} = 3^{(2x^{2} - 1)} (4x^{2}ln3 + 1)[/tex]
This is the final derivative.
Answer:
[tex]3^{2x^2-1}+4ln(3)*3^{2x^2-1}x^2[/tex]
Step-by-step explanation:
[tex]x3^{(2x^2-1)}[/tex]
~Apply product rules
[tex]\frac{d}{dx}(x)3^{2x^2-1}+\frac{d}{dx}(3x^{2x^2-1})x\\\frac{d}{dx}=1\\(3^{2x^2-1})=4ln(3)*3x^{2x^2-1}x\\1*3^{2x^2-1}+4ln(3)*3^{2x^2-1}xx[/tex]
~Simplify
[tex]3^{2x^2-1}+4ln(3)*3^{2x^2-1}x^2[/tex]
Best of Luck!
Identify the systems of equations that have A as their point of interest.
Answer:
y = 3x - 10
y = 2x - 7
&
y = 5x - 16
y = x - 4
Step-by-step explanation:
Coordinates of point A are (3, - 1)
It satisfies the following system of linear equations:
y = 3x - 10
y = 2x - 7
&
y = 5x - 16
y = x - 4
help..
The length of one side of a shoebox is 8 centimeters more than twice the width. The base of the shoebox has an area of 72 square centimeter.
Write an equation to represent this situation with w representing the width in centimeter
Answer: [tex]w^2+4w-36=0[/tex]
Step-by-step explanation:
Let w = width of the base of the shoebox.
As per given ,
Length = 8+2w centimeters
Area of base = 72 square centimeter
Area of rectangle = Length x width
[tex]\Rightarrow\ 72=w(2w+8)\\\\\Rightarrow\ 72= 2w^2+8w\\\\\Rightarrow\ 2w^2+8w-72=0\\\\\Rightarrow\ w^2+4w-36=0[/tex]
Required equation: [tex]w^2+4w-36=0[/tex]
Find the product -8. (-8)=
6w+3+9-2n use w=3 and n=2
Answer:
26
Step-by-step explanation:
from what I got lol , your welcome and have a nice day
-4.5 x -3 3/4
i need the answer as a fraction please
Answer: 16[tex]7/8[/tex]
(16 7/8)
Step-by-step explanation: -4.5 x -3.75 = 16.875. The decimal ".875" as a fraction becomes 7/8, so your answer is 16.875.
Answer: 16 7/8
Step-by-step explanation:
I WILL GIVE BRAIN
Find m2WXY
Po
(2x - 2)
w Х
70°
Z
O
mZWXY = |
Answer:
m∠WXY is 142°
Step-by-step explanation:
The measure of the exterior angle at one vertex of a triangle equals the sum of the measures of the opposite interior angles to this vertex
In ΔXYZ
∵ ∠WXY is an exterior angle at the vertex X
∵ ∠Y and ∠Z are the opposite interior angles to the vertex X
→ By using the rule above
∴ m∠WXY = m∠Y + m∠Z
∵ m∠WXY = (2x - 2)°
∵ m∠Y = x° and m∠Z = 70°
→ Substitute them in the equation above
∴ 2x - 2 = x + 70
→ Subtract x from both sides
∵ 2x - x - 2 = x - x + 70
∴ x - 2 = 70
→ Add 2 to both sides
∵ x - 2 + 2 = 70 + 2
∴ x = 72
→ To find the m∠WXY, substitute x by 72 in its measure
∵ m∠WXY = 2(72) - 2
∴ m∠WXY = 144 - 2
∴ m∠WXY = 142°
If EF - 8x+ 17, PG - 37, and EG - 134, find the value of x. The drawing is not to scale.
F
G
x-12
x 80
X-10
X-26
Solve the inequality.
4(x +3) -72x+3(x + 1)
O A. X<5
O B. X> 3
C.
no solution
D.
all real numbers
I NEED THIS ANWERED QUICKLY
also the last answer was cut out and it was -3/4 w/ it btw
Answer:
The first and last option.
Explanation:
You said quick soooo... brainliest?
3. Identify the initial value from the table.
A. 7
B. 9
C. 3
D. 1
Answer:
C
Step-by-step explanation:
A carton has a length of 2 teet, width of 1teet
, and height of 1. teet. What is the volume of the carton?
03
cubic feet
cubic feet
5
O
cubic feet
5
-
0713
cubic feet
Answer:
432/120 or 18/5 or 3 3/5
Step-by-step explanation:
Once you multiply all the fractions, you get 432/120
Then you simplify to the furthest
The distance between two points is 6√5. One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 7.
What is the x-coordinate of this endpoint?
I really need this, click on photo if neccessary
Answer:
B. Mid- ocean ridge
Step-by-step explanation:
The function d = 8f + 24 represents the monthly cost d (in dollars) of a group of f members joining the fitness club. a. Identify the independent and dependent variables (don’t say f and d).
Answer:
D represents the dependent variable: the monthly cost in dollars is your independent variable
F represents the independent variable: the number of members joining the fitness club
Step-by-step explanation:
The amount of money depends on how many members come and join the fitness club because more money is spent more with more members
Find the volume of the figure
Answer:
15 yards³
Step-by-step explanation:
Volume = 1/3 × [Base Area] × Height
1/3×[3×3]×5 yards³
1/3×9×5 "
3×5 "
15 "
Answer:
15yd³
Step-by-step explanation:
volume = L x W x H
3
= 3 x 3 x 5
3
= 45
3
= 15yd ³
The track team plans to buy new jerseys. If they buy more than 25 jerseys, the cost is $12.99 each. The total cost of the jerseys is a function of the number purchased, n. C(n) = 12.99n Use the drop-down menus to complete the statements below about the domain of this function.
Answer:
The answer is below
Step-by-step explanation:
A function shows the relationship between two variables (that is an independent variable and a dependent variable).
The domain of a function is the set of all input variables (that is independent variables).
Given the function C(n) = 12.99n, C(n) is the dependent variable representing the cost and n is the dependent variable which is the number of jerseys.
Since the customer has to buy more than 25 jerseys, the domain is:
Domain = 25 < n ≤ ∝
SOMEBODY PLEASE HELP QUICK!!! WILL GIVE BRAINLIEST
In VWX, VW = VX. If mV = 50°, what are measures of W and X?
mW =
mX =
Answer:
Step-by-step explanation:
Since VW = VX ; Two sides are equal, then it is an isosceles triangle.
An isosceles triangle is a triangle that has 2 equal sides and 2 equal angles.
Given: m∠V = 50° ;
Since interior angles must total 180° the remaining 2 unknown angles must have a sum of 130°.
180° - 50° = 130°
130° / 2 = 65°
m∠W = 65° and m∠X = 65°
a window frame that uses a scale of 1 cm to 6 inches. Create another scale drawing of the same window using a scale of 1 cm to 12 inches. What is the length (top/bottom sides) of the window frame on your new scale drawing?
Answer:
Can you plz help me first
Step-by-step explanation:
Can you plz help me first
Answer:
184
Step-by-step explanation:
A road crew uses the triangles shown in the diagram to
measure the width of a sinkhole across a highway from a safe
distance away. How wide is the sinkhole?
Answer:
18 ft
Step-by-step explanation:
Both triangles shown are congruent.
By the concept of transversal lines and vertically opposite angles, we conclude that the width of the sinkhole is 18 feet.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know when a transversal intersects a parallel line vertically opposite angles are equal and we also know that sides opposite to similar angles have the same length.
∴ The width of the sinkhole is also 18 feet.
learn more about transversal here :
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pleaseeee answer correctlyyy !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
8.246 units long
2sqrt(17) units long in simplest radical form
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing leg length:
a^2+b^2=c^2
4^2+b^2=sqrt(84)^2
16+b^2=84
b^2=68
b=sqrt(68)
b=2sqrt(17) <-- Simplest Radical Form
b=8.246
So the third side is approximately 8.246 units long
Adam rode in a bike-a-thon. At the end of each hour of the bike-a-thon, he recorded the total distance he had traveled since the bike-a-thon began. This is shown in the table below. Based on this table, is the total distance traveled by Adam a function of time?
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Answer: no, because it’s he total distance of 32 miles is repeated in the table
Step-by-step explanation:
I passed the test
1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18
Answer:
x = 7
Step-by-step explanation:
QY = 5x
YZ = 18
QZ = 53
Thus:
QY + YZ = QZ (segment addition postulate)
5x + 18 = 53
5x = 53 - 18 (subtraction property of equality)
5x = 35
Divide both sides by 5
x = 7
Graduation rate is one measure used to compare colleges in national publications. One such publication compared semester tuition against graduation rate, defined as the percentage of students who graduate within four years. The value of r for the scatterplot is 0.856.
A graph titled College comparisons has semester tuition (thousands of dollars) on the x-axis, and 4-year graduation rate (percentage) on the y-axis. Points are grouped together in a line with positive slope.
How would the correlation change if the graduation rate was plotted on the x-axis and tuition plotted on the y-axis?
The correlation would stay the same.
The correlation would stay positive and increase.
The correlation would stay positive and decrease.
The correlation would be negative, rather than positive.
Answer:
A is the answer
Step-by-step explanation:
The correlation would stay the same.
The correlation change if the graduation rate was plotted on the x-axis and tuition plotted one the y-axis is option (A) The correlation would stay the same
What is Scatterplot ?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.
What is Correlation?It is a measure of the extent to which two variables are related.
Given,
A graph titled College comparisons has semester tuition (thousands of dollars) on the x-axis, and 4-year graduation rate (percentage) on the y-axis.
The value of the r for the scatterplot = 0.856
Here r is positive value therefore the data lies on a perfectly straight line with a positive slope
Therefore the correlation would stay the same
Hence, The correlation change if the graduation rate was plotted on the x-axis and tuition plotted one the y-axis is option (A) The correlation would stay the same
Learn more about Scatterplot and Correlation here
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SOMEONE please give me motivation for school--
DNENEF JEB i have Fs like WHyyywe NEED schOOL
Answer:
My friend, you have to look further than how stressful school presently is. I advice you to find something you love while you're young and devote your time to it. As a high school senior, I am super into computers and I practice game design as a hobby. you need to get something that drives you. also you gotta practice study especially if you wanna make it into college. Stay strong man
Answer:
I can't add anything beacuse of copyright
What is the sum of 33 and p
Answer:
33+p
that's it 33+p
sum = 33+p
Find g(4) if g(x) = 3x2 - 4x + 3.
Answer: 11
Step-by-step explanation:
8. Solve the formula K = 3M - 7 for M
Answer:
m = [tex]\frac{k + 7}{3}[/tex]
Step-by-step explanation:
k = 3m - 7
k + 7 = 3m - 7 + 7
k + 7 = 3m
[tex]\frac{k + 7}{3}[/tex] = m
(I'm not 100% sure fyi)
can someone help me (3.1x10⁶)-(4.7x10⁴)
