Solve for x to four significant digits
7^x=13
Answers
Explanation:
Really what you're looking for is a value of x that, when 7 is raised to that power, will give you 13.
putting the equation in terms of f and g (any variables will do) :
7^x = f(x)
13= g(x)
using the rule if f(x)=g(x) then ln f(x) = ln g(x)
If any function f of x equals g of x then the natural log of f of x equals the natural log of g of x.
Therefore:
ln (7^x) = ln (13)
With logs, if there is something raised a power, the exponent can simply be moved to the front, so:
ln (7^x) = x * ln 7
note: *=multiplication
therefore your new equation is
x*ln 7 = ln 13
if you divide both sides by ln 7, you get that
x = 1.318123223
but you only need four sig figs (significant figures) so your answer is
x = 1.318
*Note = the answer is 1.318 only because those are the first four digits of the answer. I suggest looking up rules for sig figs if you do not know what they already are
HOPE THAT HELPS
_V :)
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6-9x = 7x - 10x - 30
The value of x is
Answers
Answer: X=6
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6-9*x-(7*x-10*x-30)=0
Pulling out like terms
1.1 Pull out like factors :
36 - 6x = -6 • (x - 6)
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
I took out like terms and solved it down to 36=6 and divided my way to 6
Answers
-5x=3
x=3/-5
x=-0.6
Answers
Answer: The slope is 4/3
Step-by-step explanation:
Whatever number is attatched to the "x" is the slope.
Answer:
Slope: M = 4/3
Y-Intercept: : (0,−1)
Step-by-step explanation:
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answers
Answer:
1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”
2. this is the division property of equality -"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal". so, in this situation we want to isolate x which means dividing both sides by 20. This will keep both sides equal just more simplified ( before, it was 20 and 100, after dividing both sides by 20 it is 1 and 5 which is the same ratio therefore they are still equal)
3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.
4. this is the symmetric property of equality - "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY
5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.
6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states that if
x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.
i hope this helped! im not that good at explaining so if u have more questions lmk!
b. $963.00
c. $1,016.50
d. $1,444.50
Answers
Answer:
Tyra earns $1016.5 .
Option (c) is correct .
Step-by-step explanation:
As given
Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours.
If Tyra typically works 45 hours per week .
Tyra work over 40 hours = 45 -40
= 5 hours
Amount Tyra earns for first 40 hours = 40 × 21.40
= $ 856
Amount Tyra earns for over 40 hours = 5 × 32.10
= $160.5
Total amount Tyra earns = Amount Tyra earns for first 40 hours + Amount Tyra earns for over 40 hours .
Putting the values in the above
Total amount Tyra earns = $856 + $160.5
= $1016.5
Therefore the Tyra earns $1016.5 .
Option (c) is correct.
24 = -3 + 3n
b.
11 + 4x = x - 10
c.
-216 = 1 + 7(1 + 8m)
d.
3p - 3(2 - 2p) = 34 + 4p
You must show all of your work to receive credit.
I will give you 27 points if you solve this by showing your work plz
Answers
Answer:
A) n=9
B)X=-7
C)m=-4
D)P=8
Step-by-step explanation:
A)24=-3+3n
move variable to the lefthand side &change its sign
-3n+24=-3
move the constant to the righthand side &change its sign
-3n=-3-24
calculate the difference
-3n=-27
devide both sides by-3
Solution:
n=9
B)11+4x=x-10
11+4x-x=-10
move variable to the lefthand side &change its sign
4x-x=-10-11
move constant to the righthand &change its sign
4x-x=-10-11
collect like terms
3x=-21
devide both sides of the equation by 3
solution :
x=-7
C)-216=1+7(1+8m)
multiply the parentheses by 7
-216=1+7+56m
add the numbers
-216=8m+56m
move variable to the lefthand side &change its sign
-56m-216=8
move constant to the righthand side &change its sign
-56m=8+216
add the numbers
-56m=224
devide both sides of the equation by -56
solution:
m=-4
D)3p-3(2-2p)=34+4p
multiply the parentheses by -3
3p-6+6p=34+4p
collect like terms
9p-6=34+4p
move the variable to the lefthand side &change its sign
9p-4p-6=34
move the constant to the righthand side &change its sign
9p-4p=34+6
collect like terms &calculate the sum
5p=40
devide both sides by 5
solution:
P=8
HiI hope this helps..