Answer:
8^18
Step-by-step explanation:
We know that a^b ÷ a^c = a^(b-c)
8^15÷8^−3
8^(15 - -3)
8^(15+3)
8^18
Finding an irrational number between which given pair of numbers supports the idea that irrational numbers are dense in real numbers? 3.14 and pi 3.33 and 1/3 e squared and square root of 5 square root of 64 over 2 and square root of 16
Answer:
So, we need to find irrational numbers between the given pairs.
Remember that the sum between an irrational number and an rational number is irrational.
For example, for the first case, we want a irrational number between:
3.14 and pi:
pi = 3.14159265.... is irrational
pi - 0.0001 = 3.14159265... - 0.0001 = 3.14149265...
So this number:
3.14149265...
is an irrational number larger than 3.14 and smaller than pi.
Second cacse:
3.33 and 1/3
(here the range would be actually:
1/3 = 0.33 and 3.33
So we want an irrational number larger tan 0.33 and smaller than 3.33
here we can just use pi = 3.141592...
third case:
e^2 and √5
Firs let's write these numbers so we can see how they look.
e^2 =7.389...
√5 = 2.236
So we want a number larger than 2.236... and smaller than 7.389...
Again, here we can use pi = 3.141592...
2.236... < 3.141592... < 7.389...
final case:
√(64/2) and √16
we have:
√(64/2) = 5.65
√16 = 4
So we want an irrational number larger than 4 and smaller than 5.65
Again, let's use our beloved number pi.
we have that:
pi + 1 is an irrational number:
pi + 1 = 3.14159265... + 1.0 = 4.14159265....
This number, 4.14159265..., is irrational, is larger than 4 and is smaller than 5.65, so we found the irrational number between the given pair of numbers.
Answer:
3.33 and 1/3
Step-by-step explanation:
dilations geometry!
Answer:
A' (0,20)
B' (30,-20)
C' (-10,-40)
Answered by GAUTHMATH
I just need the numbers can anyone help me with this ??
Step-by-step explanation:
Hello!
In order to graph this, a point would have to go through (-6, 1). Then, since it says it needs a slope of 5 (or, to make things a bit easer, we could see it as 5/1) we'd need the next point to be 5 up and 1 across.
One possible solution:
(-6, 1) -> (-5, 6)
The solution of this equation has an error. Which of the following steps has an error?
Step 1: -2x + 8 - 3x = 7
Step2:–5x+8=7
Step3:-5x = 15
Step4:
x = -3
O Step 2
O Step 1
O Step 3
3rd step
Solution:-
[tex]\\ \sf\longmapsto -2x+8-3x=7[/tex]
[tex]\\ \sf\longmapsto -2x-3x+8=7[/tex]
[tex]\\ \sf\longmapsto -5x+8=7[/tex]
[tex]\\ \sf\longmapsto -5x=7-8[/tex]
[tex]\\ \sf\longmapsto -5x=-1[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-1}{-5}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{1}{5}[/tex]
Solve the following equation using
distribution.
2 (4x – 12) = 5
(3) (4x) – (*) (12) = 5
2x - 6 = 5
+6
+6
2x = 11
.. i need help asap look at pics please i need this class done completely in two hours
Answer: 5.5
Step-by-step explanation: It is basically already solved the only thing I did was isolate x by itself my moving the 2 over and doing 11 divided by 2 which equals 5.5. This means that x equals 5.5
Which equation represents a parabola that has a focus of (0,0) and a directix of y = 2?
Answer: D
Step-by-step explanation:
[tex]a=0,\ b=0,\ k=2\\equation\ of\ the\ parabola:\\\\y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{x^2}{4}+1 \\\\x^2=-4(y-1)\\\\Answer\ D[/tex]
I need help solving this
Answer:
E. 248
Step-by-step explanation:
1 to 500 in set A, 250 to 750 in set B
500 - 250 = 250
100 and 200 are divisible by 100.
250 - 2 = 248
Please help!!!.......thx
Step-by-step explanation:
sin and tan are the only ones with p positive valued
Simplify for me please
The curve y=(k-6)x^2-8x+k cuts the x-axis at two points and has a minimum point. Find the range of values of k.
Answer:
Hello,
answer: -2 < k < 8
Step-by-step explanation:
As there are 2 roots: Δ>0
As there is a mininum, k-6 <0 ==> k<6,
minimum :y'=0 ==> (k-6)*2x-8=0 ==> x=4/(k-6)
[tex]\Delta=8^2-4*k*(k-6)\\=64-4k^2+24k\\=-4(k^2-6k+9)+36+64\\=100-4(k-3)^2\\=4(8-k)(k+2)\\\\\Delta\ is\ positive\ for\ -2 < k < 8[/tex]
please answer this!!
If f(1) = 4 and f(n) = f(n − 1) + 5 then find the value of f(5).
Answer:
25
Step-by-step explanation:
f(5)=5(5-1)+5
f(5)=5(4)+5
f(5)=20+5
f(5)=25
Answer:
f(5) = 24
Step-by-step explanation:
f(1) = 4
f(n) = f(n − 1) + 5
Let n = 2
f(2) = f(2 − 1) + 5 = 4+5 = 9
Let n = 3
f(3) = f(3 − 1) + 5 = f(2)+5 = 9+5 = 14
Let n = 4
f(4) = f(4 − 1) + 5 = f(3)+5 = 14+5 = 19
Let n = 5
f(5) = f(5 − 1) + 5 = f(4)+5 = 19+5 = 24
Please help explanation if possible
Answer:
Hello,
Step-by-step explanation:
slope of the line=3/7
slope of the perpendicular = -7/3
equation of the perpendicular:
y-3=(x-3)*(-7/3)
or
y=-7/3*x +7+3
or
y=-7/3*x+10
f(x) = x2 – 12x – 29
f(3) = (x+ ?)+ ?
Answer:
-6 and - 65
Step-by-step explanation:
X-12x-29, by completing the square we get (x-6)^2-65
Is student is reading a book about 370 words per minute convert this rate to words per hour
Answer: 22,200 words per hour.
Step-by-step explanation:
You can set up a proportion for this: 370 words/per 1 min= x words/ per 60 mins. Cross multiply and you get 22,200=1x which basically equals to 22,200 words per hour or 60 mins.
Manish writes the functions g(x) = ^3 sqrt - x - 72 and h(x) = -(x+72)^3
Which pair of expressions could Manish use to show that g(x) and h(x) are inverse functions?
Here we want to find the expressions we need to use to see if the functions g(x) and h(x) are inverses of each other.
The correct option is the last one, counting from the top.
∛((x + 72)^3) - 72 and -(∛(-x) - 72 + 72)^3
Two functions f(x) and g(x) are inverses if:
f( g(x) ) = x
g( f(x) ) = x
In this case, we have the functions:
g(x) = ∛(-x) - 72
h(x) = -(x + 72)^3
Then the expressions we need to check are:
g( h(x) ) = ∛(-h(x)) - 72 = ∛(+(x + 72)^3) - 72 = (x + 72) - 72 = x
h( g(x) ) = -(g(x) + 72)^3 = -(∛(-x) - 72 + 72)^3 = -(∛(-x) )^3 = x
So we found that the two expressions needed are:
∛((x + 72)^3) - 72 and -(∛(-x) - 72 + 72)^3
Then the correct option is the last one, counting from the top.
If you want to learn more, you can read:
https://brainly.com/question/10300045
Answer:
GUYS ITS C THAT IS THE ANSWER
[tex]2 |3 \sqrt{2} - 2 \sqrt{3} | + |3 \sqrt{8} - 8 \sqrt{3} | + 2 \sqrt{12} [/tex]
.......................
Answer:
hope it helps
Step-by-step explanation:
Answer:
SEE THE IMAGE FOR SOLUTION..
What is the value of the expression below when y = 8 y=8? 2 y + 7 2y+7
Answer:
23
Step-by-step explanation:
[tex]2 y + 7[/tex]
Replace y with 8
[tex]= 2 (8) + 7\\= 16+ 7\\= 23[/tex]
Therefore, the value of the expression when y=8 is 23.
I hope this helps!
Given that the point (-2,8) is on the graph of an equation that is symmetric with respect to the x-axis, what other point is on the graph?
(Type an ordered pair)
if the hypotenuse of an isosceles right triangle has a length of 5 centimeters what is the length of one of the legs
Answer:
a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} = 5 ^{2}[/tex]
a = b
[tex]2a^{2} = 5 ^{2}[/tex]
[tex]2a^{2} = 25\\[/tex]
[tex]a^{2} = \frac{25}{5}[/tex]
a = [tex]\frac{5}{\sqrt{5} }[/tex]
must rationalize...
a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]
help me...............
Answer:
Brainliestgive o020201000
Help please, I need with the question
Answer: [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
tangent of ∠PLM = [tex]\frac{opposite}{adjacent} =\frac{4}{3}[/tex]
Answer:
PLM=4/3
Step-by-step explanation:
PLEASE HELP! URGENT. the law of cosines is a2+b2-2abcosC=c2. Find the value of 2abccosC.
Answer:
D
Step-by-step explanation:
2ab*cos(C)=a^2+b^2-c^2
2ab*cos(C)=5^2+4^2-2^2=25+12=37
Answer:
The answer is 37
Step-by-step explanation:
Chocolate beans are packed in 250 g and 750 g packages. The number of 250 g packages and 750 g packages are in the ratio 1 : 2. If two of the 750 g packages are replaced into 250 g packages, then the ratio becomes 5 : 3. Find
a) the original number of 250 g packages,
b) the total mass of the chocolate beans.
Answer:
a) 4 packages
b) 7000 g or 7 kg
Step-by-step explanation:
x is the number of 250g packages and y is the number of 750g packages.
2x = y
3(x + 2 x (750 : 250)) = 5(y - 2)
3(x + 6) = 5(y - 2)
3(x + 6) = 5(2x - 2)
3(x + 6) = 5(2(x - 1))
3(x + 6) = 5 * 2 * (x - 1)
3(x + 6) = 10(x - 1)
3x + 18 = 10x - 10
(3x + 18) + 10 = (10x - 10) + 10
3x + 28 = 10x
28 = 10x - 3x
28 = 7x
x = 28/7
x = 4
y = 2 * 4 = 8
(250 * 4) + (750 * 8) = 7000 g
find the 10 degree value can u help me on it
Solution:-10
As <AGQ and <EQG are corresponding interior angles
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 60°+a=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow a=180-60[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow a=120}[/tex]
<AGQ=<PQR=60°<BHF=<PRQ=75°[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow b=75°}[/tex]
According to angle sum property
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow b+c+<PQR=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+75+60=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+135=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c=180-135[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow c=45°}[/tex]
Helpppp Please! Please!
if the cost of 2:dozen copies is Rs 720 , find the cost of 72 copies .
Answer:
Rs 2160
Step-by-step explanation:
1 dozen = 12 copies
2 dozen = 24 copies ( 2*12)
72÷12 = 6 dozen
72 copies = 6 dozen
1 dozen = Rs 720÷2
1 dozen Rs 360
6 dozen = 360*6
6 dozen = 72 copies = Rs 2160
Based on the graph of the trigonometric function,
what is the period?
Answer:
[tex]\displaystyle 4[/tex]
Explanation:
[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi[/tex]
You will need the above information to help you interpret the graph. So, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-5, 0],[/tex] from there to [tex]\displaystyle [-1, 0],[/tex] they are obviously [tex]\displaystyle 4\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 4.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex] in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
tìm kiếm x y z
x-1/y =1
y-1/z =1
z-1/x =1
y - 1/z = 1 ==> y = 1 + 1/z
z - 1/x = 1 ==> z = 1 + 1/x
==> y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)
x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1
==> 2x ² - 1 = 2x + 1
==> 2x ² - 2x - 2 = 0
==> x ² - x - 1 = 0
==> x = (1 ± √5)/2
If you start solving for z, then for x, then for y, you would get the same equation as above (with y in place of x), and the same thing happens if you solve for x, then y, then z. So it turns out that x = y = z.
can i get some help please
The sum of the interior angles in a triangle is 180 degrees.
72 + 35 + <1 = 180
107 + <1 = 180
<1 = 73 degrees
Hope this helps!
Answer:
<1 = 73
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
72+ 35+ <1 = 180
Combine like terms
107 + <1 =180
Subtract 107 from each side
<1 = 180-107
<1 = 73
