Answers
Answer:
[tex]x=-10[/tex]
Step-by-step explanation:
This deals with negative exponents.
[tex]x^{-2}=\frac{1}{x^2}[/tex]
27 and 9 are both powers of 3, so we need to find a way to make both of these into a base 3.
9 is easy, thats just:
[tex]9=3\times3=3^2[/tex]
1/27 is a little more difficult. Start with 27:
[tex]27=9\times3=3\times3\times3=3^3[/tex]
and because its a 1/27, that exponent has to be negative.
[tex]3^3=27\\3^-^3=\frac{1}{27}[/tex]
Now we can get both of them to base 3, so do that in the given equation:
[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}[/tex]
Same as last time, the bases can be canceled out as the exponents have to be equal for this equation to be true.
[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}\\(-3)\times(4-x)=(2)\times(2x-1)[/tex]
Finally, solve for x:
[tex]-3(4-x)=2(2x-1)\\-12+3x=4x-2\\-10+3x=4x\\x=-10[/tex]
Related Questions
I desperately need help !
Answers
Answer:
t = 9.57
Step-by-step explanation:
We can use trig functions to solve for the t
Recall the 3 main trig ratios
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent.
( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )
We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"
When dealing with the opposite and adjacent we use trig ratio tan.
Tan = opp / adj
angle measure = 62 , opposite side length = 18 and adjacent = t
Tan(62) = 18/t
we now solve for t
Tan(62) = 18/t
multiply both sides by t
Tan(62)t = 18
divide both sides by tan(62)
t = 18/tan(62)
t = 9.57
And we are done!
pls answer quickly
which customary unit would be most appropriate to weigh an Apple
A) metric tons
B) tons
C) ounces
D) kilograms
Answers
Answer:
Ounces
Step-by-step explanation:
Metric tons and tons is too much while kg is too little.
Answer:
its ounces
Step-by-step explanation:
What is the equation to find the slope
m=
Answers
Answer:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Step-by-step explanation:
Answer:
[tex]\huge\boxed{m=\frac{y_2-y_1}{x_2-x_1} }[/tex]
Step-by-step explanation:
The equation for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], when given two points,
[tex](x_1,y_1), and (x_2,y_2)[/tex].
Hope it helps :) and let me know if you want me to elaborate.
One oval weighs how much
Answers
Answer:
5.5
Step-by-step explanation:
11 divided by 2 is 5.5
Tiana’s dinner bill is $25. She tips her server 15%. How much does Tiana tip the server?
Answers
Hope this helped :)
Answer:
3.75$
Step-by-step explanation:
The part is the unknown.
Set up a proportion with the known values and solve for the part.
Using whole = $25, percent = 15%, part = ? dollars
part whole=percent 100→?25=15100
Multiply the numerator and denominator of a fraction by the
same number to determine an equivalent fraction.
StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100
Solve for the part.
?=15÷4=334=3.75
Greg has only nickels and dimes in his money box. He knows that he has more than $10 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y? (5 points)
a
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion below the line for positive values of x and y.
b
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y.
c
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion above the line for positive values of x and y.
d
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion below the line for positive values of x and y.
Answers
Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
Step-by-step explanation: Let
x------> the number of nickels in the box
y------->the number of dimes in the box
we know that
so
Multiply by both sides
-----> inequality that represent the situation
The solution of the inequality is the shaded area above the dashed line for positive values of x and y
The equation of the dashed line is
therefore
the answer is
Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
Please help me on this math problem
Answers
PLEASE HELP SOMONE.
Suppose you invest $5000 into an account the earns 2% interest compounded quarterly. How much money will you have after 30 years? Use the formula .
Group of answer choices
Answers
Answer:
So here is the answer to your question by using the formulae of compound amount.
Initial price( P) = $5000
Interest rate( R) = 2% pa
Time ( T) = 30 years
Compound amount (CA)=?
We have
CA=P(1+R/100)^T
=5000(1+2/100)^30
=$9056.807921
=$9057(Approx)
Thus, the money will be $9057 after 30 years.
Which statement is true
Answers
the two polygons are similar. Write a proportion and solve for x
SHOW WORK PLEASE
Answers
Answer:
Answer: 2.5
Step-by-step explanation:
It seems as if everything is divided by two so 5/2 is 2.5
4.Cost of 10 book is ₹800.What is the cost of 50 such books
Answers
Answer:
₹4000
Step-by-step explanation:
₹800/10 books
₹80/1 book
(₹80/1 book)*(50) = ₹4000
How do i Multiply and divide integers? please answer quick if possible ♀️
Answers
Answer
To multiply integers, simply multiply the unsigned numbers and place the sign on the product by repeating the above rules.
To divide unsigned integers, we divide the unsigned numeric values and put a minus sign on the result.
Given h(x)=-x+5, solve for x when h(x)=3. PLEASE I NEED HELP ILL GIVE BRAINLIEST.
Answers
[tex]\text{Given that,}\\\\h(x) = -x+5\\\\\implies 3 = -x +5\\\\\implies x = 5 -3 =2[/tex]
Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit
Answers
Answer:
It's probably B
Step-by-step explanation:
(THE ULTIMATE QUESTION)solve one step equation (will also give Brainliest)
1. 3x = -18
2.x/4 = 16
3.-9x = 45
4.x + 8 = -10
5.-3x = -9
6.x/-2 = -3
Answers
Answer:
1 = --6
2 x=64
3 x= --5
4 x= --18
5 x=3
6 x=6
Step-by-step explanation:
GIMME BRANlIEST PLZZZ
SOMEONE HELP ON QUESTION #13 pleasseeee
Answers
Answer:
You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.
Step-by-step explanation:
Hope this helps!
Brainliest please!
please help me I have no idea what I'm doing :(
Answers
Answer: A. 100%
Step-by-step explanation:
A bottle of juice costs $1.85, and a pack of 6 bottles of lemonade costs $5.40. If Jimmy
buys 3 bottles of juice and a dozen bottles of lemonade, how much money should he
spend in all?
Answers
Answer:
Step-by-step explanation:
+
1.85
5.40
_____
6. 2 5
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4
Answers
Answer:
1
Step-by-step explanation:
What you can do is do [tex]3x-4=-x[/tex]
-4=-4x
x=1
CHECK:
[tex]3-4=-1[/tex]
[tex]-1=-1[/tex]
brainlist
Which of the following situations could be modeled by an linear function?
Question 17 options:
The number of people in a stadium is decreasing at a rate of 45% every 10 minutes
The water level of a tank doubles every day
The population of a small town grows at a rate of 2.4% each year
A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year
Answers
A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
Let’s remember what a linear function is. A linear function has a set amount of growth. In this case, it will grow two feet. The other answers are exponential functions. They aren’t growing the exact same amount each time, but a percentage.
Hope this helps!
Answer: D
Step-by-step explanation:
what times what will give 540
Answers
Answer:
There are many:
10*54
5*108
2*270
4*135
And more
Step-by-step explanation:
2, 5, 2, 3, 3, 3
These are the multiplies of 540 you can just multiply and they always get you the same solution: 540
Hope this helps!
28 divided my someing =4
Answers
Question :- 28 divided my something =4
Answer:- let something be x
[tex] \frac{28}{x} = 4 \\ \frac{28}{4} = x \\ 7 = x \: \: ans[/tex]
Answer:
7
Step-by-step explanation:
28 divided by 7 would give you 4.
(It's easier to solve this problem if you count by 4's: 4, 18, 12, 16, 20, 24, 28)
hope this helped!
{(x,y) | 2x - 3y < 6, x ∈ I, y ∈ I}
{(x,y) | -2x +5y > -10, x ∈ I, y ∈ I}
Answers
Answer:
1. (-10,-5)
2.(1/2,-1) 3. All real numbers infinite solution 4.(3 9)
Step-by-step explanation:
if all 10 players scored the same number of points, how many would each have to score to get a total of 230
Answers
Answer:
Each player would have to score 23 points.
Step-by-step explanation:
To answer this question, you must do 230 ÷ 10!
The answer to this is 23.
You can double check your answer by multiplying 23 by 10!
Answer:
23
Step-by-step explanation:
I got it correct on I-ready
Hope this helped!
From: Aug1e
What is the coefficient in this expression? (34mn)
34
3
n
4
Answers
have a good day :]
The coefficient in this expression is 34.
The first option is the correct answer.
What are variables and coefficients?The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.
In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values 3 and 5 in the first equation are the coefficients of the variable x.
Learn more about coefficient of expression here https://brainly.com/question/525935
#SPJ2
Find the surface area of a box of length 6 cm, width 5 cm, and height 4 cm.
Answers
Answer:
It would i feel like its 132
Step-by-step explanation:
PLEAS ASAP
i wanna sleep
im young
30 POINTS
Answers
Answer:
325.5 i think
Step-by-step explanation:
please help me thank you!
ty ty :)
Answers
Answer:
the slope is flatter
the line is shifted 7 down
Step-by-step explanation:
Write (3 + 4i) + (8 + 2i) as a complex number in standard form.
А.11 - 6i
В.5 + 12i
C.7 + 10i
D. 11 + 61
Answers
Answer:
D. 11+6i
Step-by-step explanation:
3+8+4i+2i
11+6i
Which variable expression represents the following word phrases?
6 more than four times a number
A: 4n-6
B: 6-4n
C: 6+4n
D: 6>4n
Answers
Answer:
6+4n
Step-by-step explanation: