You went to the barber to get your hair cut. The haircut cost $30. You tipped the barber 20%. How much money did you give the barber for a tip? What is the total amount you paid all together?
Answer:
Tip $6
Total Amount $36
Step-by-step explanation:
20% of $30 is 6
$30 + $6 = 36
Please help! I will give Brainliest!
Answer:
p(not L) = 7/8, 0.875, 87.5%
Step-by-step explanation:
8 letters in total
7 are not L
p(not L) = 7/8, 0.875, 87.5%
Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest ten.
Find the area of the circle.
Use 3.14 for pi
d = 10 cm
A = [?] cm2
A=Pi r2
Step-by-step explanation:
the only thing youre missing is
radius = diameter / 2
Answer:
78.54 cm squared
Step-by-step explanation:
A=πr^2
Since they only give the diameter, divide the diameter by 2
π*25 = 78.54
Have a good day :)
Consider the following functions. (See attachment)
Find the area of the region.
Answer:
Area: [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationGraphing FunctionsExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Area - Integrals
Area under a curveArea between 2 curvesIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify functions
[tex]\displaystyle f(x) = \sqrt[3]{x - 9}[/tex]
[tex]\displaystyle g(x) = x - 9[/tex]
Step 2: Identify Info
Graph the functions - See Attachment
[1st Integral] Bounds: [8, 9], g(x) top function/f(x) bottom function
[2nd Integral] Bounds: [9, 10], f(x) top function/g(x) bottom function
Step 3: Find Area Pt. 1
Set up integrals [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^9_8 {[(x - 9) - \sqrt[3]{x - 9}]} \, dx + \int\limits^{10}_9 {[\sqrt[3]{x - 9} - (x - 9)]} \, dx[/tex]Rewrite integrals [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^9_8 {(x - 9)} \, dx - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \int\limits^{10}_9 {(x - 9)} \, dx[/tex]Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = (x^2 - 9x) \bigg| \limits^9_8 - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - (x^2 - 9x) \bigg| \limits^9_8[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = \frac{-1}{2} - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \frac{1}{2}[/tex]Subtract: [tex]\displaystyle A = -\int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - 1[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = -\int\limits^9_8 {(x - 9)^{\frac{1}{3}}} \, dx + \int\limits^{10}_9 {(x - 9)^{\frac{1}{3}}} \, dx - 1[/tex]Step 4: Identify Variables
Identify variables for u-substitution.
u = x - 9
du = dx
Step 5: Find Area Pt. 2
[Integrals] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{-1} {u^{\frac{1}{3}}} \, du + \int\limits^1_0 {u^{\frac{1}{3}}} \, du - 1[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = -(\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^0_{-1} + (\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^1_0 - 1[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(\frac{-3}{4}) + \frac{3}{4} - 1[/tex]Simplify: [tex]\displaystyle A = \frac{1}{2}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integrals - Area between 2 curves
Book: College Calculus 10e
Tom is tiling a wall.
He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs.
Large pack = 40 tiles £18
Small pack = 28 tiles £14
Special offer = 25% reduction when you buy 3 or more large packs.
Work out the cheapest cost for Tom to buy the packs of tiles he needs.
Answer £
Answer:
The correct answer is - £ 40.5 for 3 large packs.
Step-by-step explanation:
Given:
Large pack = 40 tiles £18
Small pack = 28 tiles £14
Special offer = 25% reduction when you buy 3 or more large packs.
Solution:
Following combinations are possible for tom to get the tiles he needs:
1. 3 large packs
40*3 = 120 tiles with 25% discount
cost = 18*3 - 0.25*18*3 = 40.5
2. 4 small packs
28*4 = 112 tiles
cost = 14*4 = 56
3. 2 large packs and 1 small pack
40*2 + 28 = 108 tiles
cost = 18*2 + 14 = 50
4. 1 large pack and 3 small packs
40 + 28*3 = 124 tiles
cost = 18 + 14*3 = 60
Thus, the correct answer is - 1st case with three large packs.
1250
€ 125oo
Q8 A taxi company charges £5 standing charge and £1.50 per mile for a journey.
A man travels in a taxi for 12.2 miles.
What is the cost of his journey?
Show your working
Answer:
£23.30
Step-by-step explanation:
First, find the cost from traveling 12.2 miles. Since the cost is £1.50 per mile, multiply 12.2 by 1.5:
12.2(1.5)
= 18.3
Add the standing charge to this:
18.3 + 5
= 23.3
So, the cost of his journey is £23.30
The equation y = 7.25x models the amount in dollars, that Lisette earns per hour at her part-time job. The table
shows the amount that Nataly earns at her job.
Hours | Total Pay
2 - $14.70
3 - $22.05
7 - $51.45
What is the difference in the amounts earned per hour?
Answer:
as the amount of hours increases, the earned amount of $ decreases by .10
Step-by-step explanation:
Find the length of y
Answer:
From SOHCAHTOA
Cos17=73/y
y=73/cos17
y=76.34cm
Option B
In her assignment, Pat is representing the populations of cities using circles. The area of
each circle is directly proportional to the population of the city it represents.
(a) If a city of population 20 000 is represented by a circle of radius 1.5 cm, what would
be the radius of the circle representing:
(i) City A, population 10 000?
(ii) City B, population 36 500?
(b) Would Pat be able to use a circle to represent a city of population 4 500 000? Explain
your answer.
Answer:
n
Step-by-step explanation:
n
Which graph shows a dilation?
Answer:
Hello! Mizuki here to answer!
The correct answer would be the first option!
Step-by-step explanation:
Remember, dilation is when a shape gets bigger/smaller.
In this case, the first option would be the only dilation.
I need help I’m not totally understand what to do
Answer:
c ------ 1/3(40) ft^3
Step-by-step explanation:
searched the formula for volume of a cylinder
Need help on this one plz
Answer:
3 15/18
Step-by-step explanation:
well, 4 5/18 can't take away 8/18 with the fraction itself. so, you take 5 from 8 and get -3. then, take one whole number away and subtract the 18 from 3 (this was the negative 3) and you have the answer. so to conclude it 5 cant take away 8 so its like carrying. you take one whole number that is 18/18 and you subtract the 18 from 3.
find the solution set of 1/3x-4≤ 2+x
1/3x*3-4*3≤ 2*3+x*3
x-12≤6+3x
-12-6≤3x-x
-18/2≤2x/2
-9≤x
OR
1÷3x-4≤ 2+x
x-12≤6+3x
-12-6≤3x-x
-18/2≤2x/2
-9≤x
Answer:
[-9 ≤ x] or [x ≥ -9]
Step-by-step explanation:
QUESTION :-
Find the solution set of → [tex]\frac{1}{3} x - 4 \leq 2+ x[/tex]
SOLUTION :-
Simplify the L.H.S.[tex]=> \frac{x-12}{3} \leq x + 2[/tex]
Multiply both the sides by 3[tex]=> \frac{x - 12}{3} \times 3 \leq 3(x + 2)[/tex]
[tex]=> x - 12 \leq 3x +6[/tex]
Substract 'x' from both the sides[tex]=> x - 12 - x \leq 3x + 6 -x[/tex]
[tex]=> -12 \leq 2x + 6[/tex]
Substract 6 from both the sides.[tex]=> -12 - 6 \leq 2x + 6 - 6[/tex]
[tex]=> -18 \leq 2x[/tex]
Divide both the sides by 2.[tex]=> \frac{-18}{2} \leq \frac{2x}{2}[/tex]
[tex]=> -9 \leq x[/tex] or [tex]x \geq -9[/tex]
R and S are two observation posts on the same horizontal ground as the foot P of a vertical tower PQ The tower is 18m due north of S and 24m east of R. The angle of elevation of Q from S is 35°.Calculate the height PQ.
Answer: [tex]12.6\ m[/tex]
Step-by-step explanation:
Given
Distance of Point S is 18 m from tower
Distance of point R is 24 m form tower
Suppose the height of tower PQ is h
angle of elevation of Q from S is [tex]35^{\circ}[/tex]
from the figure, we can write
[tex]\Rightarrow \tan 35^{\circ}=\dfrac{h}{18}\\\\\Rightarrow h=18\tan 35^{\circ}\\\Rightarrow h=12.60\ m[/tex]
A line goes through the points (0, -2) and (5, 18). What is the slope of the line?
Answer:
[tex]\displaystyle m = 4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (0, -2)
Point (5, 18)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{18--2}{5-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{20}{5}[/tex][Fraction] Divide: [tex]\displaystyle m = 4[/tex]What system of equations is shown on the graph below?
60=70-h I can't seem to find my answer and it a bit hard
Answer:
10
Step-by-step explanation:
We need to solve the equation . The equation is z
→ 60 = 70 - h
Subtracting 70 both sides .→ 60 - 70 = 70 - h - 70
→ -10 = -h
Dividing both sides by -1 .→ -h/-1 = -10/-1
→ h = 10
• Hence the value of h is 10 .Farmer Brown grows corn on his 110 acre farm. The yield for his farm is 17,600 bushels of corn. Farmer Diaz grows wheat on his farm. He plants 250 acres of wheat and has a yield of 13,750 bushels. What is the difference in the density per acre of the wheat and the corn?
A.35
B.105
C.140
D.3850
Answer:
Difference of density per acre of wheat and corn = 105
Step-by-step explanation:
Given:
Yield in 110 acre farm = 17,600 Bushes of corn
Yield in 250 acre farm = 13,750 Bushes of wheat
Find:
Difference of density per acre of wheat and corn
Computation:
Yield per acres Bushes of corn = 17,600 / 110
Yield per acres Bushes of corn = 160
Yield per acres Bushes of wheat = 13,750 / 250
Yield per acres Bushes of wheat = 55
Difference of density per acre of wheat and corn = Yield per acres Bushes of corn - Yield per acres Bushes of wheat
Difference of density per acre of wheat and corn = 160 - 55
Difference of density per acre of wheat and corn = 105
In the diagram, the sum of the values of r and z is 116.
bo/20
xo
What is the value, in degrees, of y?
Enter a number in the space provided.
Answer: 122 degrees
Step-by-step explanation:
Don’t feel like explaining.
Let f(x) = x – 5 and g(x) = 3x – 7. Find f(x) + g(x).
Show your work
Answer:
4x+2
Step-by-step explanation:
When you try to evaluate the expression f(x) + g(x). You just evaluate the problem x-5+3x-7.
When it as been evaluated you will get 4x+2
(Precalc/Trig) Please help! Find the value of this expression (in photo)
Answer:
The exact value is 3
Step-by-step explanation:
1. You simplify the equation by factoring 2 from the first two terms
2. Apply Pythagorean to make the equation 2 * 1 + csc^2(π/5) - cot^2(π/5)
- Then apply Pythagorean again to make the equation 2 * 1 + 1
3. Simplify and you get 3
Hope this helps :)
Solve this problem...!
Answer:
a) 66 degrees
b) 32 degrees
Step-by-step explanation:
a) 90+24
=114
180-114
=66 degrees
b) 180-51= 129
x= 129+19
148
180-148
= 32
mark me brainliestt :)) i worked hard
2sqroot97x
Which value of x makes the expression above equivalent to 20 sqroot97? pls provide a step by step explanation (:
Answer:
A
Step-by-step explanation:
The base of a rectangular prism has a base of 15 square cm. The height of the prism is 5 cm. What is the volume of the rectangular prism?
Step-by-step explanation:
eyeyeyeyeyyeyeyeyeeyeyeueueuryryru
The ages of eight different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the median of the ages?
A. 21.5
B. 20.5
C. 22.5
D. 24.5
If you were the number keep 660 times how many times will you likely roll a two or five
Answer:
220
Step-by-step explanation:
a dice has 6 sides
660 divided by 6 = 110
you asked for 2 numbers so
110 times 2 = 220
Can someone do 11-12?
PLEASE HELP!
can you help me with these math questions im struggling on :,)?
Answer:
Step-by-step explanation:
Multiply by 2
Work out the size or angle X
Answer:
180-132
Step-by-step explanation:
the entire angle should sum to 180
Answer:
48 °
Step-by-step explanation:
132° + x° = 180° (Linear pair)
∴ x° = 180° - 132°
∴ x° = 48°
Hope this helps :) !!!