Answer:
[tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]
Step-by-step explanation:
slope of perpendicular line: m = [tex]\frac{1}{12}[/tex]
solve for b:
[tex]1 = \frac{1}{12}(-4) + b[/tex]
solve parenthesis:
[tex]1 = -\frac{1}{3}+b[/tex]
add [tex]\frac{1}{3}[/tex] to both sides:
[tex]b = \frac{4}{3}[/tex]
final equation: [tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]
what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%
Answer:
$150.5
Step-by-step explanation:
CP of an item = $140
sales tax rate = 7.5%
sales tax amount = sales tax rate of CP
=7.5% of CP
= 7.5/100 * $140
=$1050/100
=$10.5
total cost with tax = CP + tax rate
=$140 + $10.5
=$150.5
The numerator of a rational number is less thanits denominator by 7. If the new number becomes [tex]\frac{3}{2}[/tex] when the numerator is tripled and the denominator is increased by 13, find the original number.
Answer:
Step-by-step explanation:
If the numerator is 7 less than its denominator, than the original number in terms of x is
[tex]\frac{x-7}{x}[/tex]. If we triple the numerator, the expression to do this is 3(x - 7); if we increase the denominator, the expression to do this is x + 13. Putting that together along with the fact that after we do this manipulation the new number is 3/2:
[tex]\frac{3(x-7)}{x+13}=\frac{3}{2}[/tex] and distribute:
[tex]\frac{3x-21}{x+13}=\frac{3}{2}[/tex] and cross multiply to get:
2(3x - 21) = 3(x + 13) and
6x - 42 = 3x + 39 and
3x = 81 so
x = 27. Subbing 27 for x into the original number:
[tex]\frac{27-7}{27}=\frac{20}{27}[/tex]
Ted surveyed the 291 employees at the company who worked in Marketing.
Is this sample of the employees at the company in general likely to be biased?
yes
no
Answer:
Yes it is biased since they are only survey people in marketing not a random sample of people from and group in the company
Dasukede kudasai
Trigonometry prove
Photo attached
Answer:
Step-by-step explanation:
Formulas used:
[tex]sin( A +B) = 2sin Acos B\\\\sin A= sin (\frac{A}{2} + \frac{A}{2}) = 2 \ sin \frac{A}{2}cos \frac{A}{2}\\\\cos(A + B) = cosA cosB - sinA sinB\\\\cos A = cos(\frac{A}{2} + \frac{A}{2}) = cos \frac{A}{2} cos \frac{A}{2} - sin \frac{A}{2} sin \frac{A}{2}[/tex]
[tex]= cos^2 \frac{A}{2} - sin^2 \frac{A}{2}[/tex]
[tex]1 - sin^2 \frac{A}{2} = cos^2 \frac{A}{2}[/tex]
[tex]\frac{sin\frac{A}{2}}{cos\frac{A}{2}} = tan\frac{A}{2}[/tex]
Given :
LHS =
[tex]\frac{sin \frac{A}{2} + sin A }{1 + cos \frac{A}{2} + cosA}\\\\=\frac{sin \frac{A}{2} + 2sin \frac{A}{2} cos \frac{A}{2} }{1 + cos \frac{A}{2} +cos ^2\frac{A}{2} -sin^2 \frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} + 1 - sin^2\frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} +cos ^2 \frac{A}{2} }\\\\[/tex]
[tex]=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + 2cos ^2 \frac{A}{2} }\\\\=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} ( 1 + 2cos \frac{A}{2}) }\\\\=\frac{sin\frac{A}{2}}{cos\frac{A}{2}}\\\\= tan \frac{A}{2}\\\\= RHS[/tex]
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown. h What is the probability of drawing a red marble out of the bag without looking? 1/9 2/9 1/3 1/2
Answer:
1/3
Step-by-step explanation:
3+3+2+1=9 marbles
3 are red so 3/9
3/9=1/3
Please help I’ll give brainliest
Answer:
The rules for standard form are
Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)
I hope this helps
Answer:
False
Step-by-step explanation:
Please Mark me brainliest
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
Answer:
The family should budget $73.50 for 21 gallons of gasoline.
Diego has 1/4 of a book left to read. There is 6 chapters left each chapter is the same length. What fraction of the book is each chapter
Answer:
Fraction of the book is each chapter = 1 / 24
Step-by-step explanation:
Given:
Fraction of book left to read = 1/4 book
Number of chapter left to read = 6 chapter
Find;
Fraction of the book is each chapter
Computation:
Total number of chapter in book = Number of chapter left to read / Fraction of book left to read
Total number of chapter in book = 4 x 6
Total number of chapter in book = 24 chapters
Fraction of the book is each chapter = Number of book / Total number of chapter in book
Fraction of the book is each chapter = 1 / 24
Hi can anyone help me out with this question ?
and if you could explain how to do pls
-
Find the value of the trig ratio to the nearest ten-thousandth
Sin 38°= ?
Answer:
a
using a calculator u can see the digits that follow.
Answer:
Option A is correct
Step-by-step explanation:
Sin 38° = 0.61566147 and 0.6157 is the value of the trig ratio to the nearest ten-thousandth.Option A is the value of the trig ratio to the nearest ten-thousandth .Hope it is helpful....What is 14c12?
A. 78
B. 91
C. 105
D. 120
9514 1404 393
Answer:
B. 91
Step-by-step explanation:
14C12 = 14!/(12!(14-12)!) = 14·13/(2·1) = 7·13 = 91
John invests $250 at 15% interest compounded monthly. How much will he have in 20 years?
Answer:
$4928.87
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compound ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 250
r = 15% = 0.15
n = 12
t = 20
Step 2: Solve
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{12 \cdot 20}[/tex][Exponents] Multiply: [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{240}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 250(1 + 0.0125)^{240}[/tex](Parenthesis) Add: [tex]\displaystyle A = 250(1.0125)^{240}[/tex]Evaluate exponents: [tex]\displaystyle A = 250(19.7155)[/tex]Multiply: [tex]\displaystyle A = 4928.87[/tex]1x1x2x2x9x9x9x9x9x9x8x8x7x6x5x8x7x8x7x8x7x86x566x64x32x66x2x73747x766x0
Answer:
0
Step-by-step explanation:
Anything times 0 is 0.
Without the 0 it's 3.72966900E+33.
What is the degree of the monomial? 8x2y3 24
Answer:
5
Step-by-step explanation:
8x^2y^3 24
degree of monomial is power of x + power of x
2 + 3= 5
Answer:
5
Step-by-step explanation:
What is that 24 doing there?
If the monomial is
[tex] 8x^2y^3 [/tex]
then the degree is 5.
The degree of a monomial is the sum of the exponents of all the variables of the monomial.
What is the sum of the measures of the interior angles of the stop signIf the stop sign is a regular octagon, what is the measure of each interior angle?
Answer:
I think its hfbfjfbsobsxhhx
Answer:
1080 & 135
Step-by-step explanation:
I did it
Round the decimal 7.16 ?
Answer:
7(nearest whole number)
7.2(1 decimal place)
Help please guys thank you so much
Answer:
Step-by-step explanation:
Clara gave (1/2) of formal dresses to her sister. After giving, she has 1/2
of formal dresses (1- 1/2 = 1/2).
Number of formal dresses that Clara has = [tex]\frac{1}{2}*d=\frac{1}{2}d[/tex]
Clara bought 4 more dresses
[tex]\frac{1}{2}d + 4 = 12[/tex]
ADEF is a dilation of AABC by a scale factor of. Which of the following
proportions verifies that AABC and ADEF are similar?
15
12
5
O A.
DE BC
AB DF
OB.
AB
DE
EF
AC
OC. PRO
DE
ВС
OD.
DE
=
AC
DF
Answer:
c
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
DEF should be three times as big as ABC
AB = 5 ; DE = 5 x 3 = 15
AC = 3 ; DF = 3x 3 = 9
BC = 4 ; EF = 4 X 3 = 12
the options that correspond to this is option c
Simplify each using positive exponents only: questions on image
Answer:
16) 8/X
19) 16x^8
22)81x^8
Fill in each box to make the statements true.
The ____ function is written f(x) = ⌊x⌋ and rounds numbers ___ to the nearest integer. The graph of f(x) = ⌊x⌋ includes the point (174, ___ ).
(Factorize it)
Here it is:
Answer:
D: (x^2 + 3x + 9) (x^2 - 3x + 9)
-
G: (x^2 + 3x + 5) (x^2 - 3x + 5)
Answer:
[tex]d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)[/tex]
[tex]g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)[/tex]
Step-by-step explanation:
Hope it is helpful....
Name each polynomial
4m^2-5m+6
18s-7
6p^3
Answer:
Quadratic function
linear function
cubic function
Step-by-step explanation:
Help please!!!!!!!!!!!
Answer:
16.2m
Step by step:
b=20
angle= 40
h=x(let us considered)
now ,
tan =P/b
putting value.
tan40=x/20
x=20 tan40
x=16.2m
Please help. Will give 15 points!!!!
it should be false but its been a while since i did that but the expressions should be multiplied together
help me someone The table below represents a geometric sequence.
Answer: i feel like its C but im not sure
Step-by-step explanation:
what is real numbers? explain briefly..
Answer:
a quantity that can be expressed as an infinite decimal expansion is real number.This includes all integers and all rational and irrational numbers.It can be either positive or negative.it can be either rational and irrational but not both It is demoted by R .Then numbers which are not both rational and irrational are not real numbers.
plz mark me as brainliest
Please someone help me out
Answer:
812 in²
Step-by-step explanation:
The area (A) is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 29 and h = 28 , then
A = 28 × 29 = 812 in²
If Greg is hosting a BBQ and he needs 50 corn on the cobs. A package of 5 costs $3.25. How much money does he need to get the 50 corn on the cobs?
Answer: $32.5
Step-by-step explanation:
Given
Greg needs 50 corns on the cobs
A package of 5 costs $3.25
For 50 corns, he needed 10 package
So, cost of 10 packages is
[tex]\Rightarrow 10\times 3.25\\\Rightarrow \$32.5[/tex]
someone help me pleaseeeeee
Answer:
option B
Step-by-step explanation:
Top right graph
Answer:
b
Step-by-step explanation:
pls mark me brainliest
slope for (0,0) and (3,30)
Slope is the change in y over the change in x:
Slope = (30-0)/(3-0)
Slope = 30/3
Slope = 10
Answer:
The formula for slope is (y2-y1)/(x2-x1)
Hence, the answer will be:
(30-0)/(3-0)
=30/3
=10
Sumaya's Smoothie Store is planning to sell an extra-large size. The extra-large size will have three times the volume of the small size. It will cost twice as much as the small size. Which coordinate pair represents the volume and cost of the extra-large size?
Answer:
The answer is below
Step-by-step explanation:
Sumaya’s Smoothie Store is planning to sell an extra-large size. The extra-large size will have three times the volume of the small size (the small size is (8,4) ). It will cost twice as much as the small size.
Which coordinate pair represents the volume and cost of the extra-large size?
Solution:
The coordinate plane is a plane that can be used to represent the position of a point. The plane consist of x axes and y axes. The position of a point is referenced from the origin.
The small size of a pizza is represented by the coordinate pair (8, 4) ⇒ (volume, cost)
Since the volume of the extra-large size will have three times the volume of the small size, hence:
Volume of extra-large size = 8 * 3 = 24
The cost of extra large is twice as much as the small size, hence:
Cost of extra large = 4 * 2 = 8
Therefore the coordinate pair that represents the volume and cost of the extra-large size is:
(24, 8)