Jaya goes out to lunch. The bill, before tax and tip, was $11.15. A sales tax of 3% was
added on. Jaya tipped 13% on the amount after the sales tax was added. How much
tip did she leave? Round to the nearest cent.
Answer:
$1.49
Step-by-step explanation:
after the sales tax the bill would be $11.48
so 13% of that would be $1.49
so she tipped 1 dollar and 49 cent
someone please help!
Answer:
10.
Step-by-step explanation:
Since 60 is the profit you need to make, you plug in 60 into P(x). So, you get the equation 60=0.3[tex]x^{2}[/tex]+7x-40. The answer to this equation is 10. I think this is the correct answer.
Use the arc length formula to find the length of the curve y = 2 − x2 , 0 ≤ x ≤ 1. Check your answer by noting that the curve is part of a circle.
By using the arc length formula, we will see that the length of the curve is L = 1.48
How to use the arc length formula?
Here we have the curve:
y = 2 - x^2 with 0 ≤ x ≤ 1
And we want to find the length of the curve.
The arc length formula for a curve y in the interval [x₁, x₂] is given by:
[tex]L =\int\limits^{x_2}_{x_1} {\sqrt{1 + \frac{dy}{dx}^2} } } \, dx[/tex]
For our curve, we have:
dy/dx = -2x
And the interval is [0, 1]
Replacing that we get:
[tex]L =\int\limits^{1}_{0} {\sqrt{1 + (-2x)^2} } } \, dx\\\\L \int\limits^{1}_{0} {\sqrt{1 + 4x^2} } } \, dx\\[/tex]
This integral is not trivial, using a table you can see that this is equal to:
[tex]L = (\frac{Arsinh(2x)}{4} + \frac{x*\sqrt{4x^2 + 1} }{2})[/tex]
evaluated from x = 1 to x = 0, when we do that, we will get:
[tex]L = \frac{Arsinh(2) + 2*\sqrt{5} }{4} = 1.48[/tex]
That is the length of the curve.
If you want to learn more about curve length, you can read:
https://brainly.com/question/2005046
Can somebody help me with these problems please
Answer:
11. A. [tex]\frac{12}{13}[/tex]
12. D. [tex]\frac{35}{12}[/tex]
Step-by-step explanation:
11: Sin is just the side opposite of the angle divided by the hypotenuse of the triangle
Opposite of A = 36
Hypotenuse of the triangle = 39
36/39 = [tex]\frac{12}{13}[/tex]
12. Tan is the side opposite of the angle divided by the side adjacent to the angle
Opposite of C = 35
Adjacent to C = 12
35/12 = [tex]\frac{35}{12}[/tex]
Hope this helps!
PLEASE HELP!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
a) To find the length of diagonal XT, we can use the distance formula to get [tex]\sqrt{(-3-5)^{2}+(4-(-2))^{2}}=10[/tex]
Since this is a rectangle, XT=YW, meaning YW=10 as well.
b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.
c) The perimeter is just 2(8+6)=28.
Sambriddhi bent a rope to form a circle.If she got the circumference of the circle is 30cm more than its diameter. What was the length of the radius?
easy peasy here we go..
so first circumference = 2π R
now it is given that circumference - 30 cm = Diameter;
Diameter = 2πR - 30 = 2 R { diameter = 2 times Radius}
now solving equations:
2πR -2R = 30
πR - R = 15
R ( π - 1 ) = 15
R ( 22/7 - 1) = 15
R ( 15/7 ) = 15
R = 15 x 7 / 15
R = 7 cm
Mark as brainliest
Answer:
7.01 cm
Step-by-step explanation:
Circumference = 2πr
=> d + 30 = 2πr
=> 2r + 30 = 2πr
=> 2r(π - 1) = 30
=> 2.14r = 15
=> r = 15/2.14
=> r = 7.01 cm
let F(x) = x^2 + ax + b when a and b are integers, if F(3+root5) = 0 then what is value of F(4) ? please help me I don't know really!!!
Answer:
f(4)=-4
Step-by-step explanation:
hello : this an solution
howard is designing a swing chair ride
Factor completely x3 7x2 − 2x − 14. (x − 7)(x2 − 2) (x 7)(x2 2) (x 7)(x2 − 2) (x − 7)(x2 2).
The factor of the provided polynomial after the factorization process are similar to option C, which is
[tex](x+ 7)(x^2 -2)[/tex]
How to find the factor of polynomial?The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.
Find these factors by taking out the common factors.
The given polynomial equation in the problem is,
[tex]x^3+ 7x^2 -2x - 14[/tex]
The above equation has the unknown variable x and the highest power of this unknown variable is 3.
Take out the highest common factor x², which can divide each term of the first two terms of equation (x³, 7x²). Thus,
[tex]x^2(x+ 7) -2x - 14[/tex]
Take out the highest common factor -2 from the second two terms as,
[tex]x^2(x+ 7) -2(x + 7)[/tex]
Now take out the common group (x+7) as,
[tex](x+ 7)(x^2 -2)[/tex]
Hence, the factor of the provided polynomial after the factorization process are similar to option C, which is
[tex](x+ 7)(x^2 -2)[/tex]
Learn more about factor of polynomial here;
brainly.com/question/24380382
3. What other transformation would give the same final position for Building 1? (1 point)
Please help!!
Answer:
A Reflection
Step-by-step explanation:
In geometry, a reflections would be referred to as a flip. A reflection is a representation of a shape. An picture will mirror thru the line of reflection. If a figure is said to be a mirror of another figure, then every point in that figure is equal to every corresponding point in another figure.
Peter works 52hours in a 40-hour work week where his basic wages rate is $200.If overtime is paid at time and-a-half, determine his wage for the week.
Answer:
$230
Step-by-step explanation:
Hes paid 200 for his wages but if he works overtime by 12 hours he gets half of the 5 dollars he earns per hour which is 2.5 which then is 2.5 times 12 which is then 30 plus the 200 he earned for the 40 hours.
Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure?
1. The base angles of an equilateral triangle have equal measure
2. if two sides of a triangle are equal, the third side must be equal to the others
3.If a triangle is equiangular, then it is equilateral.
4.If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Answer:
4. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Step-by-step explanation:
Facts about equiangular/equilateral triangles have little bearing on isosceles triangles.
The one relevant fact from the given list is that larger angles are opposite longer sides. This requires you to conclude that equal angles are opposite equal sides, which is the conclusion of the isosceles triangle theorem.
HELP FOR 20 PTS.................................
Answer:
Step-by-step explanation:
yeah i think its b too
How does confidence interval affect margin of error.
Please help its due today WILL GIVE BRAINLIEST :)
Lillian has a rectangular garden with an area of 3x² - 10x - 8 square feet. Find the expressions that would represent the length and width of the garden. Make sure you show all your work for full credit.
A(1,5), B(-4,-3), C(3,-3), and find the area of the triangle it forms.
Answer:
first calculate the lenght of a triangle with the distance formula
You leave a 15% tip of $6.12. How much was the bill?
You leave a 15% tip -> The cost = 115% the actual cost without the tip.
So, the bill was $6.12 x 115% = $7.038
Answer: IT DEPENDS ON HOW MANY PEOPLE ARE SPLITTING BY BUT IF IT IS JUST 1 PERSON THEN THE TIP WOULD BE 0.92 BUT IF U WANT IT IN HOLE DOLLARS THEN YOUR TIP WOULD BE 1 DOLLAR AND 78 CENTS
Step-by-step explanation: I HOPE THIS HELPS YOU :D
The sum of two numbers is 32. Their difference is 22. Find the two numbers.
Answer:
Can you pls give me a brainlies I am new pls.
Step-by-step explanation:
Grayson needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 761 forks. There are currently 205 forks. If each set on sale
contains 10 forks, which inequality can be used to determine x, the minimum
number of sets of forks Grayson should buy?
The inequality that can be used to determine x, the minimum number of sets of forks Grayson should buy is as follows:
761 ≥ 10x + 205
InequalityInequality equations are represented with <, >, ≤, or ≥.
Therefore,
The restaurant needs at least 761 forks . Therefore, the number of forks should be greater than or equals to 761.
He already has 205 forks.
Each sets on sale contains 10 fork.
x = minimum number of sets of forks he should buy.
Therefore, the inequality to represent the situation is as follows:
761 ≥ 10x + 205learn more on inequality here: https://brainly.com/question/24900162
help Rs. 100 are divided between Sangeeta and Manish in the ratio 4:1. Find the
amount Sangeeta gets.
Answer:
80
Step-by-step explanation:
4+1 = 5 This is the total amount of shares
100÷5 = 20 This is how much is in 1 share
So 4 shares, which is how many shares Sangeeta receives, is:
4×20=80
So 80 is the amount Sangeeta gets
[tex]4x+x=100[/tex]
[tex]5x=100[/tex]
[tex]x= \frac{100}{5}[/tex]
[tex]x=20[/tex]
[tex]4×20=80[/tex]
Sangeetha gets 80
a refrigerator can be bought on hire purchase by making a deposit of $480 and 15 monthly installments of $80 each .calculate the hire Purchase cost of the refrigerator
Answer:
#565 is the best answer I can give you
four and three tenths plus three and six tenths equals
a
nine and seven tenths
b
seven and nine tenths
c
7
d
four and nine tenths
Answer:
b - seven and nine tenths
Step-by-step explanation:
4 3/10 + 3 6/10
20 points Which percent accurately reflects the green section of the circle? A. 38% B. 48% C. 62% D. 68%
Answer:
38%
Step-by-step explanation:
We know that this circle kind of look like circle that divide into 3 part
But since it a bit more we can infer that it A. 38%
We also know that 48% is about half and 62% or 68% is all the way over half.
Hence, A.38% is the best answer.
[RevyBreeze]
Answer:
a 38%
Step-by-step explanation:
What is the value of X
Answer: 20
Step-by-step explanation:
Compare the dimensions of the prisims. How many time greather is the surface area of the red prism than the surface area of the blue prism
Answer:
the answer for the first one is 3 times
the answer for the second one is 9
Step-by-step explanation:
0.5 grams of salt is equal to how many miligrams?
Answer:
500 milligrams
Step-by-step explanation:
We know that 1 gram is equal to 1000 milligrams.Half a gram of salt would therefore equal half of 1000.1000 ÷ 2 = 500.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Answer:
500 milligrams
Step-by-step explanation:
1 gram is equal to 1000 milligrams
we only have 1/2 or 0.5 of a gram
so we divide 1000 by 2 to get 500
Your answer is
500 Milligrams
Find the sum
3+5+7+9…., n=14
Which equation has (2, -1)
as a solution?
1. y = 2x - 1
2. y=x+3
3. y=x-3
4= y= -2x + 1
Answer:
3. y = x - 3
Step-by-step explanation:
when x is 2 y should equal -1
only one that does that is
option 3
-1 = 2 - 3
Please help!!
Sorry I need 20 characters
Answer:
1. Lucky Buy
2. 3/5
Step-by-step explanation:
1. .96/4=.24
1.32/6=.22
2. take the 3 and put it over time like always x/time=3/5
3. triangle abc has angle measures as shown (look at image).
(a) using the triangle sum theorem, write the equation and solve for x.
(b) what is the value of < b? show your work.
Answer:
x = 6, ∠B = 50°
Step-by-step explanation:
a) 8x + 2 + 70 + 60 = 180
8x + 132 = 180
8x = 180 - 132 = 48
x = 48/8 = 6
b) ∠B = 180 - 70 - 60 = 50°
or 8x + 2 = 8*6 + 2 = 50°