Answer:
So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3. A good way to check the result is to multiply it out and make sure the product is 24.
Step-by-step explanation:
someone help me please with this algebra problem
Answer:
7 in.
Step-by-step explanation:
2L + 2W = 16
Try L = 7
2(7) + 2W = 16
14 + 2W = 16
2W = 2
W = 1
If the length is 7 in., then the width is 1 in. That is perfectly acceptable, so L = 7 in. is a good value.
Try L = 8
2(8) + 2W = 16
16 + 2W = 16
2W = 0
W = 0
A length of 8 would make a width of 0. You can't have a rectangle with 0 width, so L = 8 does not work.
When L = 9 or L = 10, the width would be negative. The width of a rectangle cannot be a negative number, so these values doe not work.
Answer: 7 in.
Suggest methods (other than Cartesian Coordinates) of describing the location of points on a plane.
Answer:
There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.
Step-by-step explanation:
There are two alternative ways of describing the location of points on a plane:
(i) Polar coordinate system (a.k.a. Circular coordinate system).
(ii) Elliptic coordinate system.
Now we proceed to explain briefly the characteristic of each option:
Polar coordinate system: [tex](r, \theta)[/tex]
Where:
[tex]r[/tex] - Distance of the point with respect to origin.
[tex]\theta[/tex] - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (2)
Elliptic coordinate system: [tex](\mu, \nu)[/tex]
Where [tex]\mu[/tex] and [tex]\nu[/tex] are elliptical coordinates.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]x = a\cdot \cosh \mu \cdot \cos \nu[/tex] (3)
[tex]y = a \cdot \sinh \mu \cdot \sin \nu[/tex] (4)
Where [tex]a[/tex] is the distance between origin and any of the foci along the x axis.
If f(x) = 3x - 2 and g(x) = x2 +1, find (f +9)(x).
Answer:
A. x² + 3x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 2
g(x) = x² + 1
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = 3x - 2 + x² + 1Combine like terms: (f + g)(x) = x² + 3x - 1Answer:
D. x² + 3x + 1
Step-by-step explanation:
Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1
Find :- ( f + g ) ( x )
Solution :-
plug 3x + 2 ɑs f ɑnd x² + 1 ɑs g in the functions.( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))
remove unnecessɑry pɑrɑntheses( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )
combine like terms( f + g ) ( x ) = ( x² + 3x - 1 )
Find the measure of the missing angle using the exterior angle sum theorm
Step-by-step explanation:
the sum of angels of a triangle is 180°
130+ ? + (180-160) = 180
130+ ? +20= 180
150+ ? = 180
? = 30°
the missing angle is 30°
Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many problems as Vicki. The expression shows how many problems they have worked altogether.
Answer:
p + 4p
5p
Step-by-step explanation:
Problems Vicki solved = p
Tamra worked 4 times as many problems as Vicki = 4 x p = 4p
total problems solved by both of them =4p + p
= 5p
try it, let's see can u do or not
Answer:
Step-by-step explanation:
Answer:
EC=2, AD=2.4
Step-by-step explanation:
Objectives: Similar Triangles. We need to establish the scale factor of the similar triangles, and use that factor to find the missing side length.
The corresponding similar side of the left triangle is AD and AB. AB measure is 4.5 and AD measure is 1.5 so this means that AB is 3 times as long as AD. This also means that for the other sides of the left triangle as well.
AC is 3 times as long as AEBC is 3 times as long as DEUsing this information and what given in the diagram, AC measure is 3 but we need to find EC measure. We can use the addition postulate to find EC.
AE+EC=AC1+EC=3EC=2The same can be done for the triangle on the right. AC is 3 times longer than AE, so this means that AB is 3 times longer than AB using that knowledge, AD measure is 2.4
Find the measure of the indicated aces and angles
Answer:
a=21
b=69
c=42
d=138
Step-by-step explanation:
c is supplementary to d (which is 138), so c=180-138= 42.
angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.
angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.
A rectangle ABCD is in scribed in a circle and E is a point on the circumference of the circle.Given that AE^2+BE^2+CE^2+DE^2=200 and the area of the circle is k pi ,find k
Answer:
Rectangle ABCD is a square. ... Last edited by Bunuel on Feb 24, 2018 7:34 am, edited 2 times in total. ... No values are given. ... since the radius is half the diamter you get 5* area of
probability of multiple events
A standard number die is tossed once, and then again. Find P(first
roll = 1 and second roll = 1),
help pls
Answer:
1/36
Step-by-step explanation:
A standard die has 6 faces
The numbers 1 through 6 on singly on each face
so the probability of tossing a 1 would be;
1/6
The probability of tossing another 1 would still be same 1/6
So the probability of tossing a 1 and another 1 would be the product of the two tosses as follows;
1/6 * 1/6 = 1/36
Maths assignment
9p^2-16q^2
Answer:
[tex]9p^2-16q^2[/tex]
[tex](3p)^{2} -(4p)^{2}[/tex]
[tex]\underline{x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]
[tex]\left(3p\right)^2-\left(4q\right)^2=\left(3p+4q\right)\left(3p-4q\right)[/tex]
[tex]=\left(3p+4q\right)\left(3p-4q\right)[/tex]
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hope it helps....
have a great day!!
represent the following additions on a number line 3+5
Write an equation that represents the line.
Use exact numbers.
Answer:
-4 and 2
Step-by-step explanation:
The exact numbers of that position is -4 and 2
4 t-shirts and a hat costs £26.00
A t-shirt and a hat costs £8.00.
How much does a t-shirt cost?
How much does a hat cost?
Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!
Answer:
the first option
Step-by-step explanation:
it is directly there in the problem description.
f(x) = 1.8x - 10
g(x) = -4
so, for f(x)=g(x) that automatically means
1.8x - 10 = -4
1.8x = 6
x = 6/1.8 = (6/1) / (18/10) = 10×6 / 18×1 = 60/18 = 10/3
Mark rolls a fair dice 48 times. How many times would Mark expect to roll a one?
Answer:
8 Times, Mark would expect to roll a one 'Eight times'
Please help timed question (question included in photo). I'll mark as brainiest!
Answer:
Step-by-step explanation:
This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:
[tex]tan(2)=\frac{200}{x}[/tex] and
[tex]x=\frac{200}{tan(2)}[/tex] so
x = 5727.25 feet, the third choice down
Answer:
[tex]tan2=200/x[/tex] [tex]x=200/tan2[/tex]
[tex]x=5,727.25[/tex]
------------------------
hope it helps..
have a great day!!
The 20th term of an arithmetic progression 1,5,9,13......
Answer:
a₂₀ = 77
Step-by-step explanation:
There is a common difference between consecutive terms , that is
5 - 1 = 9 - 5 = 13 - 9 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 4 , then
a₂₀ = 1 + (19 × 4) = 1 + 76 = 77
At 2:48, what is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?
Answer:
The smaller angle will be "156°".
Step-by-step explanation:
According to the question,
Before 12, the minute hand at 48 minutes:
= [tex]60-48[/tex]
= [tex]12[/tex] (minutes to 12)
So,
= [tex]12 \ minutes+14 \ minutes[/tex]
= [tex]26 \ minutes[/tex]
hence,
The smaller angle will be:
= [tex]26\times 6^{\circ} \ each[/tex]
= [tex]156^{\circ}[/tex]
Answer:
The angle is 204 degree.
Step-by-step explanation:
The angle turned by minute hand in 1 minute is 6 degree
The angle turned by the hour hand in 1 hour is
For the hour hand :
The angle turned in 1 hour = 360/12 = 30degree
At 2 : 00 , the angle covered = 30 x 2 = 60 degree
In each minute the hour hand moves = 30 degrees / hour x 1 hour/60 min
= 1/2 degree
So at 2: 48 the hour hand is at 2*30 + 48 * 1/2 = 84 degrees
For the minute hand:
In each minute it turns = 6 degrees
So, at 48 minutes the minute hand is at 48 x 6 = 288 degrees
So, the angle between them is 288 - 84 = 204 degrees
what is the answer to this?
Answer:
29
Step-by-step explanation:
43.25-7=36.25
36.25/1.25=29
A discount site decreases the price of cell phones by . Select the two expressions that represent the discounted price of a phone costing dollars.
A
0.40ddd
B
0.60ddd
C
d−d-d−0.60
D
d−d-d−0.60ddd
E
1−-−0.60ddd
The percentage discount given on the prove is not supplied ; Assume the percentage discount given on the phone is 60%
Answer:
0.4d
d - 0.6d
Step-by-step explanation:
Given that :
Percentage Discount given on phone = 60%
The discounted pice :
Initial percentage = 100%
Discount percentage = 60%
(100% - 60%) of price
(100% - 60%) * d
40%*d
0.4d
Also ;
(100% - 60%) * d
100%*d - 60%d
d - 0.6d
What is the measure of DE?
A) 51
B) 68
C) 85
D) 56
Answer:
Option (B) is correct
Step-by-step explanation:
divide x3-3x2+x-2 by 10x4-14x3-10x2+6x-10 the quotient is and the remainder is
Answer:
The quotient is 10x+16
The remainder is 28x²+10x+22
Step-by-step explanation:
Solution,
___________________________
x^3 - 3x^2 + x - 2 ] 10x^4 - 14x^3 - 10x^2 + 6x - 10 [ 10x + 16
10x^4 - 30x^3 + 10x^2 - 20x
16x^3 - 20x^2 + 26x - 10
16x^3 - 48x^2 + 16 x - 32
28x^2 + 10x + 22
Answer:
The quotient is 10x+16
The remainder is 28x²+10x+22
Step-by-step explanation:
help and explain//////////////////////////////////////////////
Answer:
(f + g)(x) = 5x - 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 2x + 4 + 3x - 7 ← collect like terms
= 5x - 3
Answer:
5x - 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 2x + 4 + ( 3x - 7 )
= 5x - 3
What is the standard form of the expression (3x+4)(x_8)
Answer:
[tex]\left(3x+4\right)\left(x-8\right)[/tex]
[tex]a=3x,\:b=4,\:c=x,\:d=-8[/tex]
[tex]=3xx-3\cdot \:8x+4x-4\cdot \:8[/tex]
[tex]=3x^2-20x-32[/tex]
--------------------------
hope it helps...
have a great day!!
Mr. Maynard's class is taking a field trip to a science museum. They will be at the museum for 3 hours, and they want to divide their time evenly among the 10 exhibits.
How much time should they spend at each exhibit?
Write your answer as a proper fraction or mixed number.
They have a total time of 3 hours and they equally spend at each exhibit which means that they spent 18 minutes on each exhibit.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the given information in the question,
Total time = 3 hours
Time in minutes = 3 × 60 = 180 minutes
They have 10 exhibits to visit.
The time spent on each exhibit is,
180/10 = 18 minutes on each exhibit.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ2
PLEASE HELP ASAP!!!!
Use the graph of ƒ to find x if ƒ(x) = 2.
x = –0.5
x = –8
(–∞, –0.5)
x = 0.5
Answer:
[tex]{ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}[/tex]
What is the best description for the graph below
Answer:
B. The graph decreases everywhereStep-by-step explanation:
We see a graph going down as x-value increases.
It is not increasing (line shod go up) or constant (horizontal) graph..
Correct choice is B
Answer:
The graph decreases everywhere.
Step-by-step explanation:
As we view the graph, in the x - axis from 0 to 9 the line has came down (decreased). So, we can say that the graph decreases everywhere.
HELP ASAP 10 POINTS AND BRAINLIEST
Answer:
135
Step-by-step explanation:
The area is given by
A = bh where b is the base and h is the height
A = 9* 15
A =135
Answer:
[tex]135 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]area = b \times h \\ = 9 \times 15 \\ = 135 \: {units}^{2} [/tex]
The area of a wall in a house is 10.37 square metres. If a can of paint covers 3.1 square metres, how many cans of paint are needed to paint the wall?
Answer:
4 cans of paint
Step-by-step explanation:
Take the area of the wall and divide by the area that the can of pain will cover
10.37 / 3.1
3.34516129 cans
We need to round up to make sure we buy enough cans of paint
4 cans of paint
We can take area as,
Area = A
The required formula is,
→ A of wall ÷ A that paint's can will cover
Then find the no. of cans of paint that are needed to paint the wall.
Now use the formula,
→ A of wall ÷ A that paint's can will cover
→ 10.37 ÷ 3.1
→ 3.34516129032
→ 4 cans (by nearest value)
Hence, we need 4 cans to paint the wall.
What is 8 x 3 + 10 - 13 x 2? Show your work.
Will give first answer brainliest
Hello!
8 × 3 + 10 - 13 × 2 =
= 24 + 10 - 13 × 2 =
= 24 + 10 - 26 =
= 34 - 26 =
= 8
Good luck! :)
Answer:
8
Step-by-step explanation:
According to bdmas rule
First multiply 8 and 3 or 13 and 2
Then, there will be 24 + 10 - 26
Then add 24 + 10, there will be 34
and again minus by 26
Then finally answer will be 8
