Since
14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,
we have
14₁₀ = 24₅
Solve the following inequality.
20 < 8
Answer:
x > 12/7
x > 1 5/7
Step-by-step explanation:
7x + 8 > 20
Subtract 8 from each side
7x+8-8 > 20-8
7x > 12
Divide each side by 7
7x/7 > 12/7
x > 12/7
Changing to a mixed number
x > 1 5/7
its graphing linear inequalities
if u can help that would be nice
Answer:
y>_ 5/3x+3 is the answer.
Step-by-step explanation:
If 3 Superscript 2 x 1 Baseline = 3 Superscript x 5, what is the value of x? 2 3 4 6.
The value of x that will make the expression equal is 4. Option B is correct.
Given the indices expression;
[tex]3^{2x+1} = 3^{x+5}[/tex]
Since the base values are the same, they will cancel out to have:
[tex]2x + 1 = x + 5[/tex]
Collect the like terms:
[tex]2x - x = 5 - 1\\x = 4\\[/tex]
Hence the value of x that will make the expression equal is 4
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Answer:
the correct option is C which is 4
Step-by-step explanation:
jesus loves you!!!!!!!!!
PLEASE HELP ASAP What is the m and b for this graph??
Answer:
m = - 1 and b = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = [tex]\frac{-3-2}{2-(-3)}[/tex] = [tex]\frac{-5}{2+3}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1
b is the y- intercept, that is where the graph crosses the y- axis.
line crosses the y- axis at (0, - 1 ) ⇒ b = - 1
Write the equation of the line in slope-intercept form that passes through (-3, -5) and (0, 4).
Answer:
y = 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )
m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = 3x + 4 ← equation of line
what is -7/9 x -2/3 in simplest form
Answer:
heres my fake account and name
Step-by-step explanation:
Iain serves 3 cups of coffee every 4 minutes.
Answer:
but how many people does she serve
Simplify.
8^15÷8^−3
Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53
PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS
Answer:
[tex]8^{18}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]
= [tex]8^{(15-(-3))}[/tex]
= [tex]8^{(15+3)}[/tex]
= [tex]8^{18}[/tex]
The simplified form is 8^18
What are Exponents?The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.
Properties of ExponentsThe properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.
Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bmGiven:
8^15÷8^−3
Using
a^m / a^n = a^( m-n)
So,
8^15÷8^−3
=8^(15-(−3))
=8^(15 +3)
=8^18
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Answer 1-2 no links or reported.
Answer:
1
Step-by-step explanation:
A tank is 5 metre long 3 metre wide and 1 m high. how many litre of water can it hold?
Answer:
15,000 liters
Step-by-step explanation:
First, find the volume in meters. 5*3*1=15 meters
1 meter = 1000 liters
(x15)
15 meters = 15000 liters
Hope this helped :D
How much warmer is 82 than -40?
Pls help
Answer:
122 degrees
Step-by-step explanation:
Take the warmer temperature and subtract the colder temperature
82 - (-40)
82+40
122
The difference is 122
HELP ME GUYS PLEASE!!! :)
Answer:
(10,-2)
Step-by-step explanation:
You can see that the first equation has already given as x-isolated equation aka x = 10.
With this, you can substitute x = 10 in the second equation 3x+5y = 20 then solve for y.
3(10)+5y=20
30+5y=20
Subtract both sides by 30.
5y=-10
Divide both sides by 5.
y=-2
So from x = 10 and y = -2, we can write as (10,-2) in coordinate form.
Answer:
(10,-2)
Step-by-step explanation:
since they already give u x, u can just sub it into the other equation
3(10)+5y=20
30+5y=20
5y=20-30
5y=-10
y=-2
What type of number is 12/3?
Choose all answers that apply:
A) Whole number
B) Integer
C) Rational
D) Irrational
Pls help it’s for a test
Answer: All except Irrational
Step-by-step explanation:
12/3 = 4, 4 is an integer, a whole number, and it is rational.
Find the product
(-2) (7)
Answer:
-14
Step-by-step explanation:
Remember that a negative times a positive is negative:
(-2)(7) = -(2)(7) = -14
A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?
Answer:
124 tiles
Step-by-step explanation:
2(20+40)
2(60)
120+4=124
What is the slope of the line with the equation: y+6=24-2x
pleeaseeee
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
y=18-2x
y=-2x+18
Answer:
Slope = -2
Step-by-step explanation:
Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.
the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be
m=-2/1 rise/run
The Kennedy High School band has 117 members. The band
director is planning rectangular formations for the band.
What formations could he make with all the band members?
Answer:
1×117, 3×39, 9×13, 13×9, 39×3, 117×1
Step-by-step explanation:
The prime factorization of 117 is ...
117 = 3²·13
Divisors of 117 are 1, 3, 9, 13, 39, 117. Possible formations would be ...
1×117, 3×39, 9×13, 13×9, 39×3, 117×1
hey i really need help its 11:32 where I am and this assignments due at 12:00
please!!!!
Answer:
3: 67 5:200% 6: 50% 7: 32 8) 20
Step-by-step explanation:
Which property of equality should Wade use to solve the equation StartFraction x Over 6 EndFraction = 3?
The property of equality Wade would use to solve the equation StartFraction x Over 6 EndFraction = 3 is multiplication property of equality.
Given:
StartFraction x Over 6 EndFraction = 3
x / 6 = 3
apply multiplication property of equality by crossing multiply
x = 3 × 6
x = 18
check:
x / 6 = 3
18 / 6 = 3
3 = 3
Therefore, the property of equality Wade would use to solve the equation StartFraction x Over 6 EndFraction = 3 is multiplication property of equality.
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Answer:
C) Multiplication property of equality.
Step-by-step explanation:
Did the test, but it's because to cancel the division, you need to multiply. in this case, they'd multiply by six to cancel the fraction or x/6.
x/6=3
x/6x6=3x6
x=18
hope this helps
The x-intercept of the graph of f(x)= 3 log (x+5)-2 is
Answer:
26
Step-by-step explanation:
do the math
heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour heather works on their hair style.as back to school special she offers to lower her price per hour by $5 what equation represents the total amount paid to heather,y,after x hours of hair styling
Answer:
y = 5 + 7x
Step-by-step explanation:
So 5 is going to be a constant factor. So Y is gonna equal 5 plus something. 12 dollars for every hour is 12x and there is a 5 dollar discount. 12-5 = 7 and so it is 7 dollars per hour.
So the total cost Y equal the constant 5 and 7x
Y = 5 + 7x
mr. jessup and mr allen i ready mathematics pages 77 and 78
WILL GIVE BRAINLY,5 STARS,AND THANKS
Answer: Yes, he does.
Step-by-step explanation:
55 x 12 = 600 Also can I see the answers for the question
Which statement is true about the relationship between the amount of plant food remaining and the number of days
Answer:
This relationship is not a function because more than one amount of plant food remains each day.
Step-by-step explanation:
i hope this is correct but sorry if im wrong
If the Plane moves at 253km southwest and the wind blows from 60' south east.
Calculate the Age of the Pilot.
What is the median of these numbers 9, 10, 6, 5, 6
Answer:
6.
Step-by-step explanation:
First you put the numbers in order, 5, 6, 6, 9, 10 then you find the number in the middle, which in this case is 6.
Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answer:<JGI
Explanation:
Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH
Hope this helps.
The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.
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Can someone please
Help me with this graph
Answer:
graph the slope and the -2
Step-by-step explanation:
first, plot a point at (0,-2) because of the -2 as the y intercept
then, start graphing ur slope
ur next points should be
(2,-1), (4,0) (6,1) and so on
"The square root of two times a number subtract five is equal to ten."
It would be √2 x n - 5 = 10.
Find the
17th
term of the arithmetic sequence whose common difference is d=5 and whose first term is a1 = 1.
The [tex]17th[/tex] term of the arithmetic sequence is [tex]81[/tex]
An arithmetic sequence is a sequence of numbers produced by adding a fixed number, called the common difference, to a term in the sequence to get the next term of the sequence.
The formula for calculating the [tex]nth[/tex] term of a sequence is
[tex]a_n=a_1+(n-1)d[/tex]
where
[tex]a_n=\text{the nth term}\\a_1=\text{the first term}\\d=\text{the common difference}[/tex]
from the question
[tex]n=17\\d=5\\a_1=1[/tex]
from this information, we can calculate the [tex]17th[/tex] term of the sequence thus
[tex]a_n=a_1+(n-1)d\\a_{17}=1+(17-1)\times5\\=81[/tex]
so, [tex]a_n=81[/tex]
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