Answer:
[tex]x = \pm e^{-1}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving quadraticsMultiple rootsAlgebra II
LogarithmsEuler's number eStep-by-step explanation:
Step 1: Define
[tex]\displaystyle ln(x^2) = -2[/tex]
Step 2: Solve for x
Raise both sides by e: [tex]e^{\displaystyle ln(x^2)} = e^{-2}[/tex]Simplify equation: [tex]x^2 = e^{-2}[/tex]Square root both sides: [tex]x = \pm e^{-1}[/tex]Answer:
Step-by-step explanation:
lnx^n=nlnx
[tex]\ln x^2=-2\\2\ln x=-2\\\\\ln x=-1\\\\x>0\\x=e^{-1}\\or~x=\frac{1}{e}[/tex]
NEED HELP IMMEDIATELY 80 students in 7th grade 150 students in 8th grade She found that 80% of the 7th graders like country music, while only 60% of the 8th graders like it. Which grade has more students who like country music? The number of 7th graders that like country music are students. The number of 8th graders that like country music are students.
Answer:
48
Step-by-step explanation:
80 over 100*150
80 divided by 100=0.8 *150=1208student
0.8 *60 = 48
Write an equation of the line with the given slope and y-intercept. slope: -3 y-intercept: -6
Answer:
The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
Step-by-step explanation:
We need to write an equation of the line with the given slope and y-intercept. slope: -3 ,y-intercept: -6
The general equation for slope-intercept form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given in the question:
slope: -3 y-intercept: -6
So, we have slope m = -3 and y-intercept b = -6
Putting values in the slope-intercept form equation:
[tex]y=mx+b\\y=-3x-6[/tex]
So, The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
Please help, pic attached!
Answer:
(y − 9) (y − 2)
Step-by-step explanation:
Factor y^2 − 11y + 18 using the AC method.
(y − 9) (y − 2)
The “AC” method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms.
Which expression is equivalent to 13 - (-21)?
Choose 1 answers
А
13 +21
B
-21 - 13
-13 +21
D
-21 +13
HURRY
c = grocery store charges
Tax is 8% added to the charges.
Which expression shows the total charges with tax?
A. 1.8c
B. 1.08c
The total charge with tax will be 1.08c.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Grocery store charges = c
And, Tax is 8% added to the charges.
Now,
Since, Tax is 8% added to the charges.
Hence, The total charge with tax = c + 8% of c
= c + 8/100 × c
= c + 0.08c
= 1.08c
Thus, The total charge with tax = 1.08c.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
Write an equation for the linear function f with values f(6) = -4 and f(9) =-9.
Use the rules of significant figures to simplify the following expression: 47.2 - 6
Answer:
41.2
Step-by-step explanation:
someone help pls asap
Answer:
[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt[3]{12x +1} + 4[/tex]
[tex]g(x) = log(x-3)+6[/tex]
Required
Determine (g - f)(x)
In functions:
[tex](g - f)(x) = g(x) - f(x)[/tex]
So, we have:
[tex](g - f)(x) = log(x-3)+6 - (\sqrt[3]{12x +1} + 4)[/tex]
Open bracket
[tex](g - f)(x) = log(x-3)+6 - \sqrt[3]{12x +1} - 4[/tex]
Collect Like Terms
[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} - 4+6[/tex]
[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]
Answer:
[tex]→(g - f)(x) = g(x) - f(x) \\ → (log(x - 3) + 6) - (\sqrt[3]{12x + 1} + 4) \\→ log(x - 3) + 6 - \sqrt[3]{12x + 1} - 4 \\→\boxed{ log(x - 3) - \sqrt[3]{12x + 1} + 2}✓[/tex]
D. is the right answer.how any 3/4s are in 1/8
Answer :
There are 6 1/8 in 3/4
NEED HELP ASAP YOU WILL GET BRAINLIST.
Answer:
1 -90 degrees
2-8in
3-16in
Step-by-step explanation:
1. 90 degrees
2. MB=8 inches
3. AC=16 inches
Pls AWNSER these 4 questions ! Thanks so much ( link ) :)
Answer:
Slope intercept form is y = mx + b
Step-by-step explanation:
Your welcome
Damon treated his sister to lunch while visiting her in Weston. Thier lunch cost $40, and the sales tax in Weston is 15%. If Damon left a 20% tip on the $40, how much in total did he pay?
Given:
Cost of lunch = $40
Rate of sales tax = 15%
Rate of tip = 20% on $40.
To find:
The amount Damon pay.
Solution:
We have,
Cost of lunch = $40
Rate of sales tax = 15%
[tex]\text{Sales tax}=\dfrac{15}{100}\times 40[/tex]
[tex]\text{Sales tax}=6[/tex]
Rate of tip = 20% on $40
[tex]\text{Tip}=\dfrac{20}{100}\times 40[/tex]
[tex]\text{Tip}=8[/tex]
Now,
Total amount = Amount + Sales tax + Tip
= [tex]40+6+8[/tex]
= [tex]54[/tex]
Therefore, Damon pays total $54.
What is the y-coordinate in the solution for the system of linear equations below?
5х-2y=4
3x-4y=-6
у = 2
у = - 2
у = 3
у = - 3
Answer: 3
Step-by-step explanation:
The coordinate answer to the system of equations is (2, 3), which means that the x value is 2, and the y value is 3
HEYYY!! Who can help me?? .. (I’m kinda slow lol)
Answer:
The answer should be A
Step-by-step explanation:
y=3x+2
First, check the y-intercept, which is 2 in this case. Only A, B, and D crosses the y-axis at 2.
Next, check the slope (I didn't calculate every one of the slopes)
the slope, from the equation is 3, so the graph should be positive (left to right always)
Only graph A has a positive slope and a y-intercept of 2.
At a coffee shop 55% of customers buy a coffee drink, 30% buy food, and 25% buy both coffee and food. What is the probability that a randomly chosen customer by either a coffee drink or food?
Answer:
85%
Step-by-step explanation:
with OR (as opposed to AND), you add probabilitites
with AND, you multiply them
P(coffee OR food) = .55 + .30 = .85
HELPPO ME PLEASEE!!!!!!
Answer:
Here,
x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)
or,x+3x + 25° + 95° + 80° =360°
or,4x + 200 = 360°
or,4x = 360 - 200
or,4x = 160
or,x = 160÷4
or,x = 40
Now,
Angle K = (x + 25)° = 40 + 25° = 65°
Angle L = 3x° = 3 × 40° = 120°
please marking brainlist 3+9y+2=
Answer:
It’s 14 due to the formules used
Find the solution set of the inequality
Can you help please?
12-6x > 24
Answer:
x < -2
Step-by-step explanation:
Hey there!
The answer to your question is [tex]x < -2[/tex]
Tip: Remember to flip the inequality signs when you multiply/divide by a negative number!
[tex]12 - 6x > 24[/tex]
[tex]-6x > 12[/tex] (Subtract 12 from both sides)
[tex]x < -2[/tex] (Divide both sides by -6)
Hope it helps and have a great day!
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Complete question :
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming
Which statement best describes the depth of the fish
From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.
From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
Answer:
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
Step-by-step explanation:
Given the equation :
y = - 7x - 3
y = depth of fish in meters ; x = Number of seconds fish has been swimming
From the equation ; which is written according to the slope - intercept equation, ; y = mx + c
The slope, m = - 7 is the rate of change in y per unit of x
c = intercept, constant, value of y when x = 0
Hence, the true statement in the equation is :
-7 represents descent and meams fish descents at a rate of 7 m per second
At x = 0, the fish is at a depth of 3 m
Someone help me please! I have to turn this in 35 minutes
Answer:
I don't remember this well but I can tell you that they are corresponding angles. When there is a line that cuts two that are vertical and the angles are on the same side, they are as you see them, corresponding.
I NEED THIS ASAP!!!! PLZ HELP!!!!! 25 POINTS!!!
Answer: B
Step-by-step explanation:
help! giving out extra points and brainlist ☀️
Answer:
Slope is: 2/10x
Y-intercept is: (0,2)
Equation: y=2/10x+2
Step-by-step explanation:
OK
PLEASEEEEEEEEEEEE HELPPPPP BRAINLIEST
Answer:
A≈527.79
Step-by-step explanation:
A=2πrh+2πr2
Brainly plss
please someone help that all I need I am giving away ten points I really need help
x/12 + 1/3 =-5/3
What is the answer
Answer:
no
Step-by-step explanation:
no
Answer: x = -24
Step-by-step explanation:
1. (12) x/12 + (12) 1/3 = (12) -5/3 (multiply both sides of the equation by 12)
2. x + 4 = -20
3. x = -20 - 4 (move the constant to the right by subtracting 4 on both sides)
4. x = -20 - 4
5. x = -24 (add the numbers together)
Please help me, Evaluate [4 - (5 - 7(6 - 5) + 7)] + 4
Answer:
3
Step-by-step explanation:
1st step: (6-5) = 1; you now have:
[4 - 5 - 7(1) + 7)] + 4
2nd step: 7(1) = 7; you now have:
[4 - (5 - 7 + 7)] + 4
3rd step: 5 - 7 + 7 = 5; you now have:
[4 - 5] + 4, which is (-1 + 4) which equals 3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{[4 - (5 - 7(6 - 5) + 7)] + 4}[/tex]
[tex]\huge\textsf{6 - 5 = \bf 1}[/tex]
[tex]\huge\textsf{4 - (5 - (7)(1) + 7) + 4}[/tex]
[tex]\huge\textsf{7(1) = \bf 7}[/tex]
[tex]\huge\textsf{4 - (5 - 7 + 7) + 4}[/tex]
[tex]\huge\textsf{5 - 7 = \bf -2}[/tex]
[tex]\huge\textsf{4 - (-2 + 7) + 4}[/tex]
[tex]\huge\textsf{4 - 5 + 4}[/tex]
[tex]\huge\textsf{4 - 5 = \bf -1}[/tex]
[tex]\huge\textsf{-1 + 4}[/tex]
[tex]\huge\textsf{= \bf 3}[/tex]
[tex]\boxed{\boxed{\huge\textsf{{Therefore, your ANSWER is: 3}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
What is the OUTPUT for this equation if the INPUT is 20?
y = 2x
City J is between City K and City L. You know the round-trip distance from City K to City L is
548 miles and the round-trip distance from City K to City J is 326 miles. Find the distance
between City J and City L. Justify your answer.
Answer:
JL is 111 miles
Step-by-step explanation:
When we talk of round trips, we mean the distance going plus the distance coming
To get the actual distance between the two places, we need to divide by 2
K to L is round trip 548 miles
K to L distance is 548/2 = 274 miles
K to J round trip is 326 miles
K to J distance is 326/2 = 163 miles
From what we have ;
KL = KJ + JL
274 = 163 + JL
JL = 274-163
JL = 111 miles
To justify our answer, we can see that J is between K and L
if we added the distance KJ and JL, we should get the distance KL
from the calculations we have made, we can see that this is correct and our answer is justified
WILL MARK YOU BRAINLIEST
A rectangle has a length of 9 and a width of 7. Find the length of the diagonal. (Hint: Use
Pythagorean theorem and draw a picture!)
63
72
130
V145