Emma has received a 35 percent discount on the frame
What is a discount?A discount is a reduction in price of an item usually for promotion or marketing purposes.
A discount could be in the form of a percentage off the price of the item or a fixed amount(say $7) off the price of the item
In the case of Emma, he got a fixed amount off the price which we converted to percentage to determine the amount off. This is calculated thus:
discount price/price of item ×100/1
5.25/15×100/1= 0.35(35%)
If a percentage is used, a variable( can change)amount in the form of a discount is possible otherwise not.
Please read more on discounts and percentages here:
https://brainly.com/question/21557112
please answer this question
We are given with the function [tex]{\bf{f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}}[/tex] and we need to find [tex]{\bf \nabla f}[/tex] , that's nothing but just the gradient of f(x,y,z) . But before starting let's recall ;
For a function F(x, y, z, ....) , the gradient is given by ;
[tex]{\boxed{\bf{\nabla F=\dfrac{\partial F}{\partial x}\hat{i}+\dfrac{\partial F}{\partial y}\hat{j}+\dfrac{\partial F}{\partial z}\hat{k}+\cdots}}}[/tex]So , now let's calculate the partial derivatives of f(x, y, z) first with respect to x , y and z one after other .So consider ;
[tex]{:\implies \quad \sf f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}[/tex]
Partial differentiating both sides w.r.t.x will yield ;
[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial x}=e^{x+y}\cos (z)+(y+1)at\dfrac{1}{\sqrt{1-x^{2}}}}[/tex]
Simplifying will yield ;
[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial x}=\dfrac{e^{x+y}\cos (z)\sqrt{1-x^{2}}+(y+1)at}{\sqrt{1-x^{2}}}}[/tex]
Now again consider ;
[tex]{:\implies \quad \sf f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}[/tex]
Partial differentiating both sides w.r.t.y will yield ;
[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial y}=e^{x+y}\cos (z)+\sin^{-1}(x)at}[/tex]
Now , again consider ;
[tex]{:\implies \quad \sf f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}[/tex]
Partial differentiating both sides w.r.t.z will yield ;
[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial z}=-e^{x+y}\sin (z)}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\nabla f=\bigg\{\dfrac{e^{x+y}\cos (z)\sqrt{1-x^{2}}+(y+1)at}{\sqrt{1-x^{2}}}\bigg\}\hat{i}+\bigg\{e^{x+y}\cos (z)+\sin^{-1}(x)at\bigg\}\hat{j}-\bigg\{e^{x+y}\sin (z)\bigg\}\hat{k}}}}[/tex]
This is the required answer
Used Concepts :- [tex]{\boxed{\bf{\dfrac{d}{dx}\{\sin^{-1}(x)\}=\dfrac{1}{\sqrt{1-x^{2}}}}}}[/tex] [tex]{\boxed{\bf{\dfrac{d}{dx}(e^x)=e^{x}}}}[/tex] [tex]{\boxed{\bf{\dfrac{d}{dx}\{\cos (x)\}=-\sin (x)}}}[/tex]Which pairs of angles are alternate interior angles? Select all that apply.
13
214
517
un
618
Answer: 214 and 618
what are the answer 1/7 of 21
Answer:
The answer is 3.
Step-by-step explanation:
1/7(21)= 3
Find the equation for the line that passes through (10,- 9) that has slope -8/3.
Give your answer in point-slope form.
Answer:
The answer is [tex]y=-(\frac{8}{3} )x+\frac{53}{3}[/tex]
Answer:
53 answer y hijsbjdh
___
3
look at image below
:D
Answers:
The answer is in the picture!
Please give brainliest. :)
find the measure of all missing angles.
Answer:
here is the answer
Step-by-step explanation:
a=90
b=80
c=45
d=45
e=138
please help me with this question
Answer:
[tex]0[/tex]
Step-by-step explanation:
I can't understand your hand writing
Answer:
improve your handwriting then worry about math fam
Expand. (1-4m)(m^2-3m+8) your answer should be a polynomial in standard form
Answer:
[tex]4 {m}^{3} - 13 {m}^{2} + 35m - 8 [/tex]
The curve y= ax + bx passes through (2,0) and (4,8). Find a and b.
Answer:
b = -2
a = 1
Step-by-step explanation:
Check the picture
Karen and Bill collect coins. Karen has x coins. Bill has 9 coins fewer than two times the number of coins Karen has. Write and simplify an expression for the total number of coins Karen and Bill have.
Simplifying products and quotients of powers
Answer:
The screen is black
Step-by-step explanation:
Mrs. Holloway is teaching a 5th grade class. She is standing 42 feet in front of Alan. Gina is sitting 40 feet to Alan's right. How far apart is Mrs. Holloway and Gina?
Answer:
The answer is 2 feet
Step-by-step explanation:
its 42-40=2
what is first step in evaluating the expression 6-(4÷2x5) ²?
a. 6-4
b. 4÷2
c. 2x5
d. 5²
Consider the function f(x) = 15x² + 60x - 19.
Answer:
Part A: [tex]f(x) = 15(x+2)^2-79[/tex]
Part B: [tex](-2, -79)[/tex]
Step-by-step explanation:
Have a great rest of your day
What is an angle that is adjacent to DEA?
Answer:
I think it is A since its a ray
Step-by-step explanation:
dea is adjacent
ceb is liner pair
eab adjacent to dea
!!Pls help i desperately need this will give brainliest !!
Find the radius of a sector if Area = 32 cm² of a sector of a circle with θ = radians.
Use: A = ½ θ · r² with θ = and A = 32 cm² and π = 3.14.
Round the area of the sector to the nearest hundredth and express the answer in the correct unit of measure.
Answer:
Step-by-step explanation:
[tex]\frac{\pi r^2}{2 \pi } \times \theta=32\\\frac{1}{2} r^2 \times \theta=32\\r^2=\frac{32 \times 2}{\theta} \\r^2=\frac{64}{\theta} \\r=\frac{8}{\sqrt{\theta} }[/tex]
substitute the value of θ and solve ,you get the value of radius r
List the coefficients of x in the expression
x - 7x2y.
Answer:
7
Step-by-step explanation:
7 is the coefficient of X.
Reasoning? The coefficient is the number that comes before a variable. In this case, 7 is the coefficient of x.
And 2 is the coefficient of y.
prime factorazation of 70
Answer:
2 × 5 × 7
Hope this helps!
Answer:
2 x 5 x 7
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Find the slope and the y-intercept of the graph of the linear equation.
y = -3x+2
The slope is (Answer here)
and the y -intercept is (Answer here)
Answer:
slope = -3
y-intercept = 2
Step-by-step explanation:
The equation y = -3x + 2 is written in slope-intercept form of
y= mx +b where m is the slope and b is the y intercept.
m = -3
b= 2
The standard trampoline has a diameter of 14 feet. What is its area?
Answer:
The area of the circle is 154 square feet
Step-by-step explanation:
The typical level of a low tide at a beach is the point on number line. Each day's high and low tides are measured relative to the typical low tide. On Monday morning, low tide is at -0.8 ft. On Tuesday morning, low tide is at -0.4 ft. a. Write an inequality to compare the low tides on Monday and Tuesday mornings. Show your work
Answer: Tides are the daily rise and fall in surface water levels of bays, gulfs, inlets and oceans and vary depending on the day and location. Tides are big periodic waves that move through the ocean in response to the gravitational attraction of the moon and the sun.
Step-by-step explanation: according to the National Oceanic and Atmospheric Administration (NOAA). Most coastal areas experience two high tides and two low tides every day and they may not be equal. (In some places, such as the Gulf Coast, you may only get one high and one low tide per day.) The height difference between high tide and low tide is called the tidal range. In some areas, the difference between high and low tides may not be so noticeable. In other areas, it can be quite stark.
Is the answer correct?
Answer:
Yes, that is the correct answer
Step-by-step explanation:
Use rounding to estimate the product of 7,984 and 8,495. Round both numbers to the nearest thousand to find your answer
act all of the following that could
Describe a triangle.
A.acute, right
B.obtuse, scalene
C.right, equilateral
D.right, isosceles
E.acute scalene
Answer:
All of them
Step-by-step explanation:
Acute, right, scalene, equilateral, isosceles, and obtuse are ways to describe a triangle and classify it, especially with the type of angles it has. Acute can describe a 45-degree angle, just like right can describe a ninety-degree angle.
Answer:
B, D, and E
Step-by-step explanation:
Acute can never be right and Right cannot be equilateral
Translate the verbal rule into an equation.
To get z, subtract 15 from x.
Answer:
x- 15= z
Step-by-step explanation:
If you want to get that z, it says to subtract 15 from x. So that's why the x comes first.
Please mark me as brainliest!
this has to be the last one , please help
Answer:
[tex]\huge\boxed{\boxed{26}}[/tex]
Step-by-step explanation:
Hello.
Plug in the values of the variables and solve:
5a+b²
5(-2)+6²
5 times -2 is equal to -10:
-10+6²
6² = 6×6=36
-10+36
Add:
26
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
Step-by-step explanation:
Check image below / above.
You have a bowl in the kitchen that is
exactly half of a sphere. The radius of
the bowl is 10 inches. How much food can
the bowl hold?
Find the volume.
Answer:
The answer is 2095 cubic inches
step-by-step explaination:
Given;Radius of hemisphere = 10 inches.To Find;Volume of Hemisphere = ?Formula;Volume = ⅔ π r³Now,
V = 2/3 πr³
V = (2/3) × (22/7) × (10)³ inches
V = 44/21 × (10)³ inches
V = 2.095 × 1000 inches
V = 2095 cubic inches.
Thus, The volume of bowl is 2095 cubic inches.
-TheUnknownScientist 72
What is the measure of angle J in the triangle below?
Answer:
53.13°
.
.
.
....,...................
Solve the following inequality.
x^2-x≥6
Answer:
x smaller than or equals to -2
x bigger than or equals to 3
At the beginning of a population study, a city had 340,000 people. Each year since, the population has grown by 9.4%.
Let t be the number of years since start of the study. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
Answer: y = 340000*(1.094)^t
This is the same as writing [tex]y = 340000(1.094)^t[/tex]
======================================================
Explanation:
The answer above is in the form y = a*b^t
a = 340,000 = initial population
b = 1.094 = 1 + 0.094 = growth factor
Think of the growth factor as 100% + 9.4% = 109.4%