Answer:
c. 13 23/45
d. -9/5
Step-by-step explanation:
explanation for c:
(5+8)+(1/9 +2/9) and then add the numbers so it will be
13+23/45 ----> 13 23/45
--------------------------------------------------------------------------------------------------
explanation for d:
convert decimal into fraction------> -6/5-3/5
calculate the difference -------> -9/5 and now you got your answer!!
Simplify each expression. Type your answer into the box. (8 – 4)2 x |4 – 8| =
Answer:
-32
Step-by-step explanation:
First you have to solve the numbers in the parenthesis which would be (8-4)= 4 then there is a 2 that you have to multiply which would be 4x2=8, then you have to solve the other parenthesis (4-8)=-4 so then you end up with 8x-4 which equals -32
Answer:
-8
Step-by-step explanation:
Which expressions are equivalent to 2 ln a 2 ln b - ln a? Check all that apply. Ln ab2 - ln a ln a 2 ln b ln a2 ln b2 - ln a 2 ln ab ln ab2.
Equivalent expressions are expressions with same simplified form. Equivalent expressions for the given expression are;
Expression 2: [tex]\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]Expression 3: [tex]\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)[/tex]Expression 5: [tex]\ln(ab^2)[/tex]What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = log_a(c)[/tex]
Some properties of logarithm are:
[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1\\\\ log_a(b) + log_b(c) = log_a(c)[/tex]
Log with base e = 2.71828.... is written as [tex]\ln(x)[/tex] simply.
The expression given is [tex]2\ln(a) + 2\ln(b) - \ln(a)[/tex]
We get its simplified form as
[tex]2\ln(a) + 2\ln(b) - \ln(a) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]
Simplifying given expressions:
Expression 1: [tex]\ln(ab^2) - \ln(a) = \ln(ab^2/a) = \ln(b^2)[/tex]This isn't same as simplified form of original
. Thus , this expression is not equivalent to the given expression.
Expression 2: [tex]\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.
Expression 3: [tex]\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)[/tex]This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.
Expression 4: [tex]2\ln(ab) = \ln((ab)^2) = \ln(a^2b^2)[/tex]This isn't same as simplified form of original expression. Thus , this expression is not equivalent to the given expression.
Expression 5: [tex]\ln(ab^2)[/tex]This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.
Thus, equivalent expressions for the given expression are;
Expression 2: [tex]\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]Expression 3: [tex]\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)[/tex]Expression 5: [tex]\ln(ab^2)[/tex]Learn more about equivalent expressions here:
https://brainly.com/question/10628562
Answer:
B,C, and E is correct. Next answer is C and D.
Step-by-step explanation:
can someone please help me with this
Step-by-step explanation:
sum of all angles = 360
7x-4 = 360
7x= 364
x = 52
angle j = 150
angle k = 62
angle m = 100
I genuinely have no idea
Answer:
10/13/17
15/15/22
Step-by-step explanation:
I may of made some mistakes but I tried, I hope this helps you.
Abha has lovely black hair that has 36 inches long. She asks the hairdresser to
cut off one-sixth of the total length of her hair. How long will Abha’s hair
measure after hair cut?
30 inches long
Step-by-step explanation:
divide 36 by 1/6
this gives you six
subtract 6 from 36
there is 30 inches of hair left
HURRY! 50 POINTS! Which of the following transformations is shown?
A. Translation 5 units up and 4 units to the right
B. Translation 5 units up and 5 units to the right
C. Reflection across the y-axis and translation 4 units up.
D. Reflection across the x-axis and translation 4 units to the right.
Answer:
Its A.
Step-by-step explanation:
The measure of KJL= ?°.
The measure of NJM= ?°.
The measure of MJL= ?°.
Question
Which number line represents the solution to the inequality 5 − 3x ≤ 11?
50 POINTS! Fully correct and explanatory answers only!
In the figure, ∠4 is an exterior angle to triangle ∠A∠U∠L .
(a) What is the angle measurement of Angle 3? Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4? Explain the angle relationship you used.
(c) What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar and different between the angle relationship between angles 1, 2, & 3 and that between 3 & 4?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
ANSWER ALL 4 PARTS FULLY AND EXPLANITORY!
Hmmm...
(a)The angle measurement is
180-25-52=
180-77=
103 degreesWe calculated it this way because angle 3 was inside of a triangle, and we know that all the interior angles of a triangle would add up to 180. Two angles are already given as well, so we just need to subtract them to find out the angle of Angle 3
(b)Angle 4 is just
180 minus Angle 3
which is
180-103=
77I used supplementary angles
(meaning two angles add up to 180)
(c)The angle relationship between Angles 1,2,and2 is supplementary angles because they all add up to 180 degrees. The angle relationship for Angles 3 and 4 are the same because they also add up to 180. I noticed that they are both supplementary, but one set of angles(3 and 4, specifically) only require two angles to become supplementary while the other set needs three(it's a triangle).
(d)The combination of Angle 1 and 2 equals angle four. From question one, we derived that Angle 1 plus Angle 2 equals 77. From question two, we found out angle two equals 77. From part c, We procured that
Angle 1 + Angle 2 + Angle 3 = Angle 3 + Angle 4
Subtracting Angle 3 on both sides, we end up with:
Angle 1 + Angle 2=Angle 4-Hunter
HELPPPP PLS HURYYYYY !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-1/10
Step-by-step explanation:
welp it is going down to the right so you know it is a negative slope only leaving the last 2
100 is your y and 1000 is your x
100/1000
and make it negative
-1/10
Answer:
1/10
Step-by-step explanation:
For this problem, since we are finding slope, we can use rise/run.
the "rise", or height, of the mountain is 100 meters
the "run", or length, of the mountain is 1000 meters
rise/run
100/1000
simplify:
1/10
What are the values of x and y in the figures shown? show your work.
Answer:
unknown numbers
Step-by-step explanation:
letters are used for unknown numbers
Answer:
Step-by-step explanation:
2 [ x + ( x + 2y )] = 28
2x + 2y = 14
x + y = 7
x = 7 - y
x ∈ ( 0 , 7 )
y ∈ ( 0 , 7 )
Can someone pls answer this for me Ill mark brainlist if its correct :(((
Step-by-step explanation:
sorry to break it to you but there is no question
To become a member at an art museum costs $60. If
you are a member art lessons will cost $2 for each
class. If you are not a member lessons will cost $6
each. Which system of equations would be used to
solve for how many lessons it would take member and
nonmemeber to cost the same.
Answer:
10
Step-by-step explanation:
If your not a member it would cost 6 member lessons because 60 by 6=10
6=1 lesson
12=2 lessons
18=3 lessons
24= 4 lessons
30=5 lessons
36=6 lessons
42=7 lessons
48=8 lessons
54=9 lessons
60=10 lessons
If your are ready and member the 30 because 2$ if for 1 lesson so 30 lessons x 2$ each is 30.
Hope it helps have a great day
Solve.
y = 6x − 9
y = x + 1
Answer:
(2, 3)
Step-by-step explanation:
y=y
6x-9=x+1
5x-9=1
5x=10
x=2
y=2+1
y=3
heyyyyyy this once again
The Y intercept is 0.
good luck :D
John is planning to invest in the stock market. He will deposit $20 every month into his savings account, plus his dad likes the idea and will give him a starting capital of $100 towards his goal. Which equation can be used to find y, John's total savings after x months?
Answer:
100+20x I think
Step-by-step explanation:
he starts at 100 then he adds 20 a month and the x would represent the number of months.
Simplify the expression -2(-3m + 10)
Answer:
6m-20
Step-by-step explanation:
you have to use the distributive property
-2(-3m+10)
-2(-3m) -2(10)
-2 times -3m = 6m
-2 times 10 = -20
=6m-20
please need it like now
Answer:
A. (10, 3)Step-by-step explanation:
Given:
f⁻¹(x) = (x - 1)/3Find f⁻¹(10):
f⁻¹(10) = (10 - 1)/3 = 9 / 3 = 3Ordered pair is (10, 3)
Put 10 in f^{-1}(x)
10-1/39/33The pair is (10,3)
what is the probability of flipping a coin 6 times and getting all heads
1/64 please mark brainiest
Use a linear equation to solve the word problem.
Two truck rental companies have different rates. V-Haul has a base charge of $75.00 , plus $0.50 per mile. W-Haul has a base charge of $69.10, plus $0.55 per mile. For how many miles would these two companies charge the same amount?
If a driver drives miles___________, those two companies would charge the same amount of money.
The equations are
[tex]\\ \tt\hookrightarrow y=0.50x+75[/tex]
[tex]\\ \tt\hookrightarrow y=0.55x+69.10[/tex]
x is no of milesNow
[tex]\\ \tt\hookrightarrow 0.55x+69.10=0.50x+75[/tex]
[tex]\\ \tt\hookrightarrow 0.55x-0.50x=75-69.1[/tex]
[tex]\\ \tt\hookrightarrow 0.05x=5.9[/tex]
[tex]\\ \tt\hookrightarrow x=5.9/0.05[/tex]
[tex]\\ \tt\hookrightarrow x=118mi[/tex]
What is the equation of the line that passes through the points (6,6) and (9,8)?
Answer:
[tex]y=\frac{2}{3}x+2[/tex]
Step-by-step explanation:
The equation for a line is:
y=mx+b
m=slope
b=y-intercept
x,y=(x,y) coordinate pair
Start by finding the slope. The equation for slope is...
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the given coordinates into the equation
[tex]Slope=\frac{8-6}{9-6}=\frac{2}{3}[/tex]
Now, we can use the slope and an x,y coordinate pair to find the y-intercept...
y=mx+b
6=2/3(6)+b
6=12/3+b
6=4+b
Subtract 4 from both sides
b=2
Therefore the equation is...
[tex]y=\frac{2}{3}x+2[/tex]
Write an equation where a number is added to a variable, and a solution is -8. b. Write an equation where a number is multiplied by a variable, and a solution is . 5. The markings on the number line are evenly spaced. Label the other markings on the number line.
1. 3 + x = -8 | × = -11
2. 2.5 times x = 5 | x = 2
maya is driving 120 miles to her grandmothers house.she drivs 35% of the distance before stopping for lunch. how far does she drive before stoppping for lunch
Answer:
42 miles
Step-by-step explanation:
32% is the same thing as 0.35
Think of the word "of" as multiplication.
Therefore, 0.35 of 120 miles is 0.35×120
This equals 42 miles.
b) The temperature falls from 11 to -2 °C. How much did the temperature fall? c) The temperature is 6 °C and it falls by 8 °C What is the temperature now? d) The temperature is -3 °C. How much must it rise to reach 5 °C? e) The temperature was –5 °C. It falls by 6 °C. What is the temperature now?
Answer:
B: -13*
C: -2*
D: 8*
E: -11*
Step-by-step explanation:
math
write the equation of a line that passes through the points (5,-9) and (-3,6)
Answer:
Step-by-step explanation:
We need to find the slope first, and we'll use the formula rise/run.
6 - -9/ -3 - 5 = 15/-8.
Our slope is -15/8.
Now, we need to find the y-intercept, which is b.
y = mx+b.
m is the slope, so y=-15/8x+b
Now, let's replace x with 5 from that point and replace y with -9 from that same point.
-9 = -(15/8)(5) + b
-72/8 = -75/8 + 3/8
So, the equation is y= -15/8x + 3/8
i dont want the answer i just need help pls and thank you please view image
no matter how many times i try i cant seem to get the right answer
I can help! With the Greatest Common Factor you figure out the greatest number that can go into all numbers. The number here would be the 2. You then divide 2 by all the numbers in the problem.
You would end up getting x^2 + 6x + 9
I use to struggle with this too. Hope this helps! Have a great day!!
At the ice cream shop, there are 11 shakes sold for every 6 malts. What is the ratio of malts to shakes?
Answer:
Step-by-step explanation:
The question reads malts to shakes. You must keep it that way.
Malts / shakes = 6/11
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, as shown in the graph.
Which equation most closely represents the line depicted in the graph?
A. f(x) = −10x + 4
B. f(x) = 15/2x - 20
C. f(x) = 10x − 4
D. f(x) = 2/15x - 20
Answer:
B. f(x) = 15/2x - 20
Step-by-step explanation:
Hi there!
All of the given functions are organized in slope-intercept form:
[tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept. The y-intercept is also the value of y where the line crosses the y-axis.
Notice how in the graph, the line crosses the y-axis at y = -20. This means that the y-intercept (b) is -20.
[tex]y=mx-20[/tex]
We know now that the answer is either B or D.
In the graph, the line crosses the point (4,10). Let's find f(4) of both the functions given in B and D and see which answer is equal to 10.
Function B:
[tex]f(x) = \displaystyle\frac{15}{2}x - 20\\\\f(4) = \displaystyle\frac{15}{2}(4) - 20\\\\f(4) = 30 - 20\\\\f(4) = 10[/tex]
Therefore, because f(4) is equal to 10 for function B, B is therefore the correct answer.
I hope this helps!
David drove 870 miles in 12 hours. At what rate did David drive per hour?
Answer:
72.5m/hr
Step-by-step explanation:
Divide 870 by 12 to represent how many miles David drove in 1 hour.
[tex]870 \div 12=72.5[/tex]
David drove 72.5 miles per hour.
Express in partial fraction
[tex] \frac{ {4x}^{2 - } 47x + 141}{x {}^{2} + 13x + 40} [/tex]
Step-by-step explanation:
There is one possible way:
(4x² - 47x + 141)/(x² + 13x + 40) = (4x² + 4*13x + 4*40 - 47x - 52x - 160 + 141)/(x² + 13x + 40) =4 - (99x + 19)/(x² + 13x + 40)No further simplification
Answer:
basic polynomial division.put 4 in quotient,subtract with the dividend the multiplicative integer, then what in the remainder. stays a remainder.partial fraction is the sum of polynomial, decomposition, with a simple denominator.answer: [tex]4+\frac{-99x-19}{x^2+13x+40}[/tex]