answer is 15%
Step-by-step explanation:
cost prices of book =160
selling prices of book =136
now,rate of discount =loss% (as discount only leads to some kind of loss)
so CP>SP
so loss=CP-SP =160-136=24
loss%= (loss/CP)÷100
=(24/160)÷100
=15%
so rate of discount =15%
Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C= ?
Answer:
C=125°
Step-by-step explanation:
Hi there!
To find angle C, we can use the cosine law:
[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]
Plug in the given information
[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]
[tex]cosC=\frac{-31}{54}[/tex]
[tex]C=cos^-^1(\frac{-31}{54})[/tex]
[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]
Therefore, angle C is approximately 125 degrees.
I hope this helps!
please answer the question below! first to answer correctly, I will mark as brainliest.
The probability of not winning would be :
1 - probability of winning
This is written as:
1 - n/n+3
Now to simplify as a single fraction rewrite as:
N+3/n+3 - n/n+3
Simplify to get : 3/n+3
an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?
Given:
Diameter of the hole = 30 cm
To find:
The area of the hole.
Solution:
The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:
[tex]r=\dfrac{30}{2}[/tex]
[tex]r=15[/tex]
Area of a circle is:
[tex]A=\pi r^2[/tex]
Putting [tex]\pi = 3.14[/tex] and [tex]r=15[/tex] in the above formula, we get
[tex]A=(3.14)(15)^2[/tex]
[tex]A=(3.14)(225)[/tex]
[tex]A=706.5[/tex]
Therefore, the area of the hold is 706.5 square cm.
How many solutions does it have? Pls help
Answer:
2 solutions
i hope this will help you
order the set of irrational numbers from least to greatest
Answer:
answer is A
hope it helps please mark as brainliest answer and give me thanks
#Dhruv hereFind BD , given that line AB is the angle bisector of
Answer:
BD = 10
Step-by-step explanation:
THEY ARE EQUAL
BECAUSE LINE AB IS THE ANGLE BISECTOR
Help Please Now!!!!
Find The Surface Area Of The Prism
Answer:
190cm²
Step-by-step explanation:
there is 2 types of sides on this. the top and bottom are the same, the front, back, left, and right are the same.
We first calculate the surface area of the top and bottom.
5x5=25
now we multiply that by 2 because the top and bottom are the same
25x2=50
now we look at the remaining 4 sides. the sides on these are 7 and 5 so we do
7×5=35
since we have 4 sides, we multiply the answer by 4
4×35=140
we add the sums together
140+50=190cm²
Answer:
190 cm^2
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
2 (lw + hl + hw)
Use the formula with the given dimensions of the prism:
2 (5 x 5) + (7 x 5) + (7 x 5)
= 2 (25 + 35 + 35)
= 2 (95)
= 190
So the SA of the rectangular prism is 190 cm^2
please help me out really need help
Answer:
B
add the two together.... 5x^3 is the only cube A or B only x is 6x and only B has that
Step-by-step explanation:
Answer:
your answer is B
[tex]f(x)=2x^{2} +6x-4[/tex]
[tex]g(x)=5x^{3} -6x^{2} -3[/tex]
[tex](f+g)x=2x^{2} +6x-4+5x^{3} -6x^{2} -3[/tex]
[tex]=5x^{3} -4x^{2} +6x-7[/tex]
OAmalOHopeO
What is the value of x if e^3x+6 =8? Answer:
Answer:
[tex]\displaystyle x = \frac{ln2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Natural logarithms ln and Euler's number eLogarithmic Property [Exponential]: [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Solving logarithmic equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle e^{3x} + 6 = 8[/tex]
Step 2: Solve for x
[Equality Property] Isolate x term: [tex]\displaystyle e^{3x} = 2[/tex][Equality Property] ln both sides: [tex]\displaystyle lne^{3x} = ln2[/tex]Rewrite [Logarithmic Property - Exponential]: [tex]\displaystyle 3xlne = ln2[/tex]Simplify: [tex]\displaystyle 3x = ln2[/tex][Equality Property] Isolate x: [tex]\displaystyle x = \frac{ln2}{3}[/tex]Answer:
x = 1/3 ln(2) or approximately 0.23104
Step-by-step explanation:
e^3x+6 =8
Subtract 6 from each side
e^3x+6-6 =8-6
e^3x =2
Take the natural log of each side
ln( e^3x) =ln(2)
3x = ln(2)
divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
x is approximately 0.23104
YOULL BE SO AWESOME IF YOU ANSWERRRRRR PLSSS
Answer:
It is the first option: The sum of 4 tens and 9 tens is 13 tens, which is regrouped as 1 hundred and 3 tens.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just logic
Write the equation for a parabola with a focus at (-3,-5)(−3,−5)left parenthesis, minus, 3, comma, minus, 5, right parenthesis and a directrix at x=-7x=−7x, equals, minus, 7.
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
We are told the focus is at (-3, -5)
Directrix is at x = -7
This is a horizontal parabola and thus the general equation is;
(y - k)² = -4p(x - h)
Where;
(h, x) is the coordinate of the vertex.
The axis where the point where the axis of symmetry meets the directrix is at; (-7, -5) since directrix is at x = -7
Thus, coordinates of vertex is;
(-7 + (-3))/2, (-5 + (-5))/2
> (-5, -5)
Thus, equation is;
(y - (-5))² = -4p(x - (-5))
(y + 5)² = -4p(x + 5)
Where p is the distance from vertex to directrix. Thus;
p = -(-7 - (-3))
p = -(-7 + 3)
p = 4
Thus;
(y + 5)² = -4(4)(x + 5)
(y + 5)² = -16(x + 5)
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
A salesman, after deducting his commission of
6%, remits $2491 to his company. The gross
amount of the sale amounted to
(A)$2809
(B) $2650
(C) $2640
(D) $2341.54
Answer:
(C) $2640
Step-by-step explanation:
2491 x 0.06 = 149.46
2491 + 149.46 = 2640.46
what is 11/12 divide 1/3
no simplify
please help i need to pass summer school
Answer:
2.75
Step-by-step explanation:
(11/12) / (1/3) = 2.75
Answer:
the answer is: 11/4
Please help out with this question..
Answer:
Step-by-step explanation:
C = 16 * 3 = 48
half past 9:00p.m. what is half past of 9:00p.m.
Answer:
The answer is 9:30 pm :D.
Find the value of x.
Answer:
6
Step-by-step explanation:
We can find the value x using Euclidian theorem
x^2 = 3*12
x^2 = 36
x = 6
A cab company changes a 3$ flat rate addition to $1.50 per mile what is the y Intercept?
The y intercept would be the minimum amount charged, which would be the flat rate of $3
Answer: the y-intercept is 3
PLEASE HELP!!!
The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is measured in meters.
Find the velocity of the particle for t = 7 seconds.
A) 152 m/s
B) 47 m/s
C) 733 m/s
D) 299 m/s
Answer:
The derivative of the position function gives the velocity function
2 t^3 + 5 t -2 derivative = 6 t^2 + 5
Calculate the answer to the correct number of significant figures: 41.70 + 0.506 + 0.00223 = ______.
42.20823
42.2082
42.208
42.2
42.21
The answer to the correct number of significant figures is 42.21
Addition of decimal numbersWhen adding decimal numbers, the number of significance of the resulting value will be to the least decimal numbers in the given expression.
Given the sum of decimal shown
41.70 + 0.506 + 0.00223
Using the calculator to take the sum
41.70 + 0.506 + 0.00223 = 42.20823
Since the significance value in the expression is 4, hence we will round the result to 4sf to have 42.21
Learn more on addition of decimal here: https://brainly.com/question/19127052
#SPJ1
plsssss helpp in the next 2 min gives 10 points
Answer:
The answer is 144,5
Step-by-step explanation:
144,5/170×100 =85%
Apakah dua atom tersebut?
- atom p mempunyai 9 proton Dan 10 neutron
- atom q mempunyai 13 proton Dan 14 neutron
- atom r mempunyai 12 proton dan 14 neutron
- atom s mempunyai 9 proton Dan 11 neutron
Answer:
I think the Ans is second one
pls help its timed no fake answers i cant afford to fail
Answer:
It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck
Step-by-step explanation:
Please hurry I will mark you brainliest
What is the equation of the line with a slope of -3 and a y-intercept of 4?
Answer:
y = -3x+4
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -3x+4
Find the solution to the system of equation -x + y = 3 and x - 2y = 5.
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \large \boldsymbol{} +\left \{ {{-x+y=3} \atop { \ \ x-2y=5}} \right. => \\\\\\x \!\!\!\!\diagup-x\!\!\!\!\diagup-2y+y=5+3\\\\-y=8\\\\ y=-8\ ; \ x=-11[/tex]
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Answer:
A n L = null (0)
A U L = a,b,e,c,k,j
A 24-ounce package of frozen peas costs $1.01. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.
Answer:
4.2 cents
Step-by-step explanation:
Take the total cost and divide by the number of ounces
1.01 /24
0.04208
Round to the nearest tenth of a cent ( 3 decimal places)
0.042
4.2 cents
evaluate and solve: y + 3 = –y + 9
The value of y is 3.
Answer:
Solution given;
: y + 3 = –y + 9
add +y on both term
y+y+3=-y+y+9
subtract both side by 3
2y+3-3=9-3
2y=6
divide both side by 2
2y/2=6/2
y=3
Answer:
y = 3
Step-by-step explanation:
y + 3 = –y + 9
Add y to each side
y+y + 3 = –y +y+ 9
2y +3 = 9
Subtract 3 from each side
2y+3-3 = 9-3
2y = 6
Divide by 2
2y/2 = 6/2
y = 3
Using a deck of 52 playing cards, what are the odds in favor of drawing a Jack or 10?
Problem 7:
show that 4^n + 4^n+1 + 4^n+2 + 4^n+3 + 4^n+4 is divisible by 11 for any positive integer
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
= 4ⁿ (4⁰ + 4¹ + 4² + 4³ + 4⁴)
= 4ⁿ × 341
= 4ⁿ × 11 × 31
Match each equation with its solution.
Answer:
1. x = -2 , 3
2. x = - 1, 5
3. -1, 6/5
4. - 0/3, 1.3
Step-by-step explanation:
1.
[tex]ln(x+5)=ln(x-1)+ln(x+1)\\\\x+ 5 = (x-1)(x+1)\\\\x + 5 = x^2 - 1\\\\x^2 - x - 6 = 0 \\\\x^2 - 3 x + 2 x - 6 =0 \\\\x(x-3)+2(x-3)=0\\\\x = -2 and 3[/tex]
2.
[tex]e^{x^{2}}=e^{4x +5}\\\\x^2 - 4x - 5 = 0 \\\\x^2 - 5x + x - 5 = 0 \\\\x (x-5)+1 (x-5)=0\\\\x = -1 and 5[/tex]
3.
[tex]log_{4}(5x^2 +2)=log_{4}(x +8)\\\\5x^2 - x - 6 = 0 \\\\5 x^2 - 6 x + 5x- 6 = 0 \\\\5 x (x + 1)-6(x+1)=0\\\\x = -1 and \frac{6}{5}[/tex]
4.
[tex]log(x-1)+log 5x = 2\\\\5 x (x-1) =2 \\\\5x^2 - 5x -2 = 0 \\\\x = \frac{5\pm\sqrt{25+40}}{10}\\\\x = \frac{5\pm 8}{10}\\\\x = 1.3, - 0.3[/tex]
