The value of acos(-7/6) is not a real number, we can conclude that the angle θf,g does not exist in this case.
Using the inner product =∫01f(x)g(x)dx in the vector space c0[0,1], we can find the norm of f(x) and g(x) as:
[tex]||f|| = sqrt( < f,f > ) = sqrt(∫0^1 (10x^2 - 6)^2 dx) = sqrt(680/35) = 4||g|| = sqrt( < g,g > ) = sqrt(∫0^1 (-6x - 9)^2 dx) = sqrt(405/2) = 9/2[/tex]
To find the angle θf,g between f(x) and g(x), we first need to find <f,g>:
[tex]< f,g > = ∫0^1 (10x^2 - 6)(-6x - 9) dx = -105/5 = -21[/tex]
Then, using the formula for the angle between two vectors:
cos(θf,g) = <f,g> / (||f|| ||g||) = -21 / (4 * 9/2) = -21/18 = -7/6
Taking the inverse cosine of both sides gives:
θf,g = acos(-7/6)
Since the value of acos(-7/6) is not a real number, we can conclude that the angle θf,g does not exist in this case.
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A dealer of electric oven sold an induction heatet at Rs.4,200 with 13% VAT to a retailer. The retailer added transportation cost of Rs.250, profit 15% and local tax Rs.150 and sold to a costumer. How much will be paid for that heater if he/she has to pay 13% VAT
Answer:
$6,619.42.
Step-by-step explanation:
Since a dealer of electric oven sold an induction heater at Rs. 4,200 with 13% VAT to a retailer, and the retailer added transportation cost of Rs. 250, profit 15% and local tax Rs. 150 and sold it to a costumer, To determine how much will be paid for that heater if the consumer has to pay 13% VAT, the following calculation must be performed:
((4,200 x 1.13) x 1.15 + 250 + 150) x 1.13 = X
((4,746 x 1.15) + 250 + 150) x 1.13 = X
(5,457.9 + 400) x 1.13 = X
5,857.9 x 1.13 = X
6,619.42 = X
Thus, the price to be paid by the consumer will be $ 6,619.42.
cual es el resultado de -4+5/3
Answer:
English translate so i can help you ? :)
Step-by-step explanation:
Ms. Mathews wants to put a fence around the north, south and east sides if her square garden. The garden has an area of 100ft2. How much fencing does she need?
Answer:
30 feet
Step-by-step explanation:
3 sides of x feet each
area=x^2=100
x=10
10 x 3 = 30 feet
Myra is planning to purchase a recliner that costs 1,490 .the installment plan offered at the furniture store requires a 12% down payment and 20 monthly payments of $71 each .
Answer:
what is the question?
Step-by-step explanation:
Answer:
okay
Step-by-step explanation:
but whats the question tho u gave us the info so whats the question
184329 rounded to the nearest 100
Answer:
184300
Step-by-step explanation:
Answer:
184300
Step-by-step explanation:
the tens place is less than 5 so the hundreds place will stay the same
(when rounding all numbers after the one being rounded will turn to 0)
[tex](9x2-2x+1)-(3x2+5x-8)[/tex]
Answer:
(6x² - 7x + 9)
Step-by-step explanation:
Given:
(9x² - 2x + 1) - (3x² + 5x - 8)
Find:
Value of equation
Computation:
(9x² - 2x + 1) - (3x² + 5x - 8)
(9x² - 2x + 1 - 3x² - 5x + 8)
(6x² - 7x + 9)
reflect...........................................
Answer:
F ( -1,4)
E (-1,2)
G (-4,5)
Step-by-step explanation:
Answer:
on what
.....................
hi guys
i need help only 19
What is the volume of this?
Answer:
1728 m³
Step-by-step explanation:
[tex]A_{triangle}[/tex] = [tex]\frac{7.2*4.8}{2}[/tex] = 172.8 m²
V = 172.8 × 10 = 1728 m³
The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices. If there are 405 containers in the store, how many are grape juice?
Answer: There are 180 grape juice in the store
Step-by-step explanation:
The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4
Total number of containers = 405
total ratio = 4+5 =9
The number of containers that are orange juice = 5/9 x 405
=5 x 45=225
The number of containers that are grape juice will now be = 4/9 x 405
=4 x 45= 180.
Does anyone know if I did this right?? Please help me
Answer:
you did this right
Step-by-step explanation:
A 1kg book is lifted 2m. How much work was done?
Answer:
work= force ×distance
force= mass × acceleration due to gravity
mass= 1kg
acceleration=10
Force=1×10=10N
Work=10×2=20joules
The work done is 20 joule.
What is Work done?
It should be converted to energy in order to move an object. Energy can be transferred by the use of force. Work done refers to the amount of energy used by a force to move an object.
Given:
mass, m= 1 Kg
So, force = mg = 1 x 10 = 10 N
and, displacement = 2m
Now, work done= force x displacement
= 10 x 2
= 20 Joules.
Hence, the work done is 20 joule.
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On Monday, the baker makes 35 blueberry muffins.
What is the total number of muffins that the baker makes on Monday?
Answer:
We don't know
Step-by-step explanation:
enWe know that the baker makes 35 BLUEBERRY muffins BUT we do not know how many OTHER muffins he makes. If he just has blueberry, then he would be making 35.
Hope this helps! Have a great day :)
10 points
8. The ring system around Saturn has a diameter of 170,000 miles. Find
the circumference around the ring system, to the nearest whole number.
If Saturn diameter is 72,367 miles. What is the area of Saturn to the
nearest Whole number? *
how many solutions 9x +2y =9 -3x + y=2
Answer:
4
Step-by-step explanatio
Answer: 4
Step-by-step explanation:
jiubpuunuibu
Help me please :( I’m going to get beat if I don’t do these topics it’s finding the angles measures given two parallel lines
can someone help me find the area and perimeter please?
Answer:
Step-by-step explanation:
Remember that the formula to get the area of a right triangle is base times height divided by 2, so to find the area:
5 x 12 = 60/2 = 30
Area of this triangle is 30.
To find the perimeter, add all the sides:
5 + 12 + 13 = 30.
Perimeter of this triangle is 30.
9*10^7 is how many times as large as 3*10^-2
1) John spent $36 to buy 4 basketballs. What was the price per basketball?
The system of equations y=-3x+2 and y=1/2x-6 is shown on the graph below
Answer:
Step-by-step explanation:
What's the question?
HELP FOR BRAINLIEST + 5 STAR RATING + THANKS
what exactly is standard deviation? and pls gimme an example
Answer:
The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean.
The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.
Step-by-step explanation:
The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?
Choose exactly two answers that are correct.
Question 3 options:
The ratio of large to small T-shirts is about 4 to 1.
There are more than 35 small and extra small T-shirts.
There are about twice as many large T-shirts as small T-shirts.
There are fewer than 100 T-shirts in all.
Answer:
medium, extra large
Step-by-step explanation:
BRAINLIEST PLEASE
Find the roots of the equation: f(x)=64x2+6=31
Answer:
5/8, -5/8
Step-by-step explanation:
64x^2 = 25
divide both sides by 64
x^2 = 25/64
take the square root of both sides, and the negative square roots
Answer:
x = 5/8=0.625 and x = -5/8=−0.625
Step-by-step explanation:
f(x)=64x^2+6=31
Subtract 6 from both sides.
64x^2+6=31
Subtract 6 from 31 to get 25.
64x^2=25
Divide both sides by 64.
x^2=25/64
Take the square root of both sides of the equation.
x=5/8=0.625
x=-5/8=−0.625
PLease help!! I will give brainliest for the right answer!!
Answer:
angle CDE is 10 degree
Step-by-step explanation:
As angle C is 90
Angle E is equal to angle B which is 80 (180-100)
so 90+80+X=180
X=180-170
X=10
Please help explain. I’ve came up with 3 wrong answers
Answer:
step 1. The volume of a cylinder (V) = (pi)R^2(h).
step 2. if the volume of a similar cylinder is 88ft^3 with R =2ft
step 3. then the cylinder with R = 5 would be (5/2)^2 bigger.
step 4. the volume of figure A is 88(5/2)^2
step 5. V = 88(5/2)^2 = 550ft^3.
A cube has edges measuring 6 inches each. What is the volume of the cube?
Answer:
6*6*6 = 216
Step-by-step explanation:
If each edge is six inches the volume of the cube will be 216 cubic inches. The edges of cube are six inches long what is the volume? 6*6*6 = 216
Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE
Answer:
y=-9/2x-10
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-8)/(-2-(-4))
m=-9/(-2+4)
m=-9/2
y-y1=m(x-x1)
y-8=-9/2(x-(-4))
y-8=-9/2(x+4)
y=-9/2x-36/2+8
y=-9/2x-18+8
y=-9/2x-10
THIS IS GEOMETRY I ONLY ahve 10 MINUTES PLEASE HELP THANK U
Answer:
i need a photo or an equation TvT
Step-by-step explanation:
TvT TvT TvT
helppppppppppppppppppppppppp
Answer:
The value of f(2) is -9.
Step-by-step explanation:
You look for the x axis and count 2, then go down until you reach the line.
Plz mark me as Brainliest plz
HELP I forgot how to do this (show work please)
The answer is 23[tex]\sqrt{x} \pi[/tex].
Sorry that I didn't explain and made it short my annual examination is going on but I really wanted to help you.