Answer:
Yes
Step-by-step explanation:
3:9 in their lowest forms are 1:3 which is the same for 6:18
I need Help with this question.
Please show workings.
Question:
[tex]{3}^{x} + {4}^{x} = {5}^{x} [/tex]
P.S : The answer is 2.
I just need the working.
Answer:
[tex] x =2[/tex]
Step-by-step explanation:
Given :-
[tex]{3}^{x} + {4}^{x} = {5}^{x} [/tex]And we need to find out the value of x. Well there is no specific method to solve the equation .This can be only done using the " Trial and error" Method.
We know that , 3 , 4 and 5 are Pythagorean triplets . So the sum of squares of two smallest numbers is equal to the square of the largest number . Henceforth ,[tex]\implies {3}^{2} + {4}^{2} = {5}^{2} [/tex]
Verification :-
[tex]\implies {3}^{2} + 4^2 = 9+16=25=\boxed{5^2}[/tex]
So , the value of x is 2 . We can here prove that , x does not have other roots other than 2 . For that , divide the both sides of equation by [tex]5^x[/tex] , we have ,
[tex]\implies \dfrac{{3}^{x} + {4}^{x}}{5^x} = \dfrac{{5}^{x}}{5^x} [/tex]
[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+ \bigg( \dfrac{4}{5}\bigg)^x = 1 [/tex]
Now if we take the value of x greater than 2 or less than 2 , then the value 1 will not be satisfied for the values of x greater than or less than 2 .That is ,
If x > 2[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x > \bigg( \dfrac{3}{5}\bigg)^2 +\bigg( \dfrac{4}{5}\bigg)^2 [/tex]
Subsequently :-
[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x > 1 [/tex]
If x < 2[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x < \bigg( \dfrac{3}{5}\bigg)^2 +\bigg( \dfrac{4}{5}\bigg)^2 [/tex]
Subsequently :-
[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x <1[/tex]
Thus there is no other value other than 2 for which the value of above expression becomes 1 .Hence 2 is the root of the given equation.
HELP ASAP FAST HELP PLEASE (WORTH A LOT OF POINTS
If x = -12 and y = -3, then
a) 21
b) 13
c) 9
d) 1
Answer:
21
Step-by-step explanation:
Plug in x and y:
((-12) - 6)/-3 + 15 =
-18/-3 +15=
6 + 15 = 21
21
100 point!What is the total surface area of the square pyramid?
A square pyramid. The square base has side lengths of 8 inches. The triangular sides have a height of 5 inches.
__________ square inches
20
40
104
144
the answer is 144 square inches
Help me with this please
Answer:
60
Step-by-step explanation:
All angles have to add up to 180
180/3 equals 60
Answer:
X= 60
Step-by-step explanation:
180÷3=60
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A farmer had 200 rows oh his field, He plowed 1/4 of them. How many rows did he plow? (Write the explanation and answer)
Answer:
He plowed 50 rows.
Step-by-step explanation:
Use proportions
1/4 = x/200
then cross multiply to find x.
4x=200
Divide both sides by 4
x= 50
He plowed 50 rows.
Hi there!
»»————- ★ ————-««
I believe your answer is:
50 fields.
»»————- ★ ————-««
Here’s why:
The farmer has 200 rows total on his field. He plowed a fourth of the field.⸻⸻⸻⸻
[tex]\boxed{\text{Number of Fields Plowed:}}\\\\\rightarrow200*(\frac{1}{4})\\\\\rightarrow\boxed{50}[/tex]
⸻⸻⸻⸻
The farmer should of plowed 50 fields.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve: 8 (5 + 3)
1. What number are you distributing?
2. Show your work
3. Answer is?
Answer:
64
you are distrbuting both the 8 which =64
Step-by-step explanation:
See the steps below:)
Answer:
Step-by-step explanation:
8(5+3)
You distribute what's in the Parentheses
8 x 5 = 40 and 8 x 3 = 24
40+24 = 64
which expression has a vaule of 2/3?
Answer:
so the answer is 32/48
Step-by-step explanation:
(8+24)/(12*4)
32/48
2/3
i hope this helps
what value of d makes the equation 5d-3=2d+6 true?
I NEED HELP WITH THIS ASAP
Answer:
the answer for this question is 3
Hi I need help and step by step stuff with all this thanks
-9(t – 2) = 4(t – 15)
10(2y + 2) – y = 2(8y -8)
Answer:
t = 6
y = -12
Step-by-step explanation:
-9(t – 2) = 4(t – 15)
-9t + 18 = 4t - 60
-13t = -42
t = 6
10(2y + 2) – y = 2(8y -8)
20y + 20 - y = 16y - 16
3y = -36
y = -12
Answer:
hi
Step-by-step explanation:
Josefina lives near a duck pond. She wants to know how many ducks use the pond. She places leg bands on 12 ducks one day. A week later, she examines 20 ducks and finds that 3 of them have leg bands. About how many ducks use the pond? 80 29 160 50
Answer:
80
Step-by-step explanation:
This is calculated as:
(Number of ducks with bands × Number of examined ducks)/ Number of ducks found with leg band
= Number of ducks with bands = 12 ducks
Number of examined ducks = 20 ducks
Number of ducks found with leg band = 3 ducks
Hence:
12 × 20/3
= 240/3
= 80 ducks
Therefore, 80 ducks used the ponds
sketch 0=7pi/6 in standard position
Answer:
i need to get the full question, then i can help u. goodluck :)
Step-by-step explanation:
Please help me asap
Answer:
2) 25%
Step-by-step explanation:
Answer:
The answer is (2)
Step-by-step explanation:
Please Help!!!! Write an exponential function. In your own words, describe the rate of change of this function and what the graph looks like.
Answer:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.
Step-by-step explanation:
Answer:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.
Step-by-step explanation:
Please help me I would appreciate it :)
Answer:
75.36
Step-by-step explanation:
75.36 because the diameter is the leant from one side of the circle to the other side which in this case is 24
24*3.14= 75.36
Use the numbers to complete the ordered pairs that represent the endpoints of line segment YZ
Answer:
what numbers ?
Step-by-step explanation:
HELLP ASAP PLEASEEEEEEEE
Answer:
False
Step-by-step explanation:
Which scenario will produce light?
a) an electron moving into the nucleus
b) an electron is removed from the atom
c) an electron moving to a ground state
d) an electron moving to an excited state
Answer:
an electron moving into the nucleus
When an electron moved to an excited state, it will produce light. So, the correct option is (D).
What is Light?
Light are commonly referred as Electromagnetic Radiation which can be detected by the human eye. This spectrum is extremely broad which ranges from low energy radio waves with wavelengths that are to high energy gamma rays with wavelengths which are less than 1x [tex]10^-^1^1[/tex].
The largest electromagnetic waves having wavelengths from a few centimeters to over 100 meters called as radio waves while the smallest electromagnetic waves having wavelengths which is the size of an atomic nucleus are called gamma rays. In between these waves, microwaves, infrared light, visible light, ultraviolet light and X-rays. It refers to visible radiant energy.
Light is emitted when an electron jumps from a higher orbit to a lower orbit and absorbed when it jumps from a lower to higher orbit which causes to produce light.
Thus, when an electron moved to an excited state, it will produce light. So, the correct option is (D).
Learn more about Light, here:
https://brainly.com/question/15200315
#SPJ2
You just opened a savings account and deposited $300 at 3% that u plan on withdrawing in 15 years. How much money will you have by then?
Answer:
$467.37
Step-by-step explanation:
Given data
Principal= $300
Rate= 3%
Time = 15 years
Applying the compound interest formula, we have
A=P(1+r)^t
A=300(1+0.03)^15
A=300(1.03)^15
A=300*1.5579
A=$467.37
Hence after 15years the balance will be $467.37
Solve the equation for x
Step-by-step explanation:
x/3 + 2 = - 6
both sides times 3
=>
x+6= -18
x= -18-6
x= -24 (c)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
stop posting this question multiple times
I need help with this question
Answer:
1/3
Step-by-step explanation:
13/39 = 1/3
Answer:
It is 1/3
Step-by-step explanation:
because 13/39=1/3
Find The Missing Side. Round to the Nearest Tenth.
Answer:
Step-by-step explanation:
1). From the triangle given in the figure,
m∠BAD = 26°
By applying tangent rule in ΔADB,
tan(∠BAD) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(26°) = [tex]\frac{BD}{AD}[/tex]
BD = 21[tan(26°)]
BD = 10.24
By applying sine rule in ΔBDC,
sin(52°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(52°) = [tex]\frac{10.24}{x}[/tex]
x = [tex]\frac{10.24}{\text{sin}(52)}[/tex]
x = 12.99
x ≈ 13.0 units
2). By applying cosine rule in ΔADB,
cos(39°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(39°) = [tex]\frac{BD}{50}[/tex]
BD = 50cos(39°)
BD = 38.86
By applying sine rule in ΔBDC,
sin(24°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(24°) = [tex]\frac{38.86}{x}[/tex]
x = [tex]\frac{38.86}{\text{sin(24)}}[/tex]
x = 95.54
x ≈ 95.5 units
Kate has a coin collection. She keeps 7 of the coins in a box which is only 5% of her entire collection.
Answer:
She has 140 coins in total.
Step-by-step explanation:
Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.
Hope this helps you!
Fill in the missing number. 7 + __ = 88
Answer:
[81 is the missing number.]
Step-by-step explanation:
7+x=88
Let us substitute the mixing number as x.
To find a variable we must ISOLATE it.
To isolate in this situation, we must remove the 7.
We must subtract 7 from both sides, to isolate x. like this-
7-7+x=88-7
This results in,
x=81
So this missing number or (x) is equal to 81
Find the slope of the line that goes through the points (2,5) and (2,8)
Answer:
Undefined
Step-by-step explanation:
Because these points have the same x-value, the line must be going straight up and down. This means that the slope is undefined.
A tank with water is shown. What is the volume of the empty space in the
tank?*
Answer:
=500in^3
Step-by-step explanation:
12-7=5
side length of empty space = 5 in
volume = 5×10×10
volume = 500
Answer:
Volume= side3
= 10x10x10
= 1000 cubic inches
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You deposit $600 in an account earning 6% interest compounded annually. How much will you have in the account in 20 years?
Answer:
1320 will be in the account in 20 years.
Step-by-step explanation:
600 x 6%
600 x 6/100 = 36 interest annually .
20 x 36 = 720.
720 + 600 = 1320.
use the information given to find the value of n in each of the following sets of number
Answer:
No picture try uploading it again and I can see if I can help you
What is the measure of Zc? b C a 124° O 45° O 56° O 60° O 66°
Answer:
56
Step-by-step explanation:
124 and c share a line, meaning their sum is 180. To find c, subtract 124 from 180
I need the Answer Immediately!!!!!!!!
Answer:
Slope = 3
Y-intercept = 3
Equation = 3x + 3
Step-by-step explanation:
Slope = Change in y / Change in x
Change in y = +3
Change in x = +1
Slope = 3/1
Slope = 3
Y-intercept = y-value where x = 0
Y-intercept: x = 0; y = 6-3
Y-intercept = 3
Equation: y = mx + b
m = slope
b = y-intercept
Equation: y = 3x + 3
Hope this helps!