First, raise the denominator (27) to the power of 1:
3^-(x-2) = 1/27^1
Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator:
3^-(x-2) = 27^-1
Rearrange the term so that both equations have the same base:
3^-(x-2) = 3^-3
Now when noticing how this has been completed, it is noticed that since both of these equations have the same bases, the only thing left to do is have the exponents equal one another. For now, ignore the bases and focus only on the two sets of exponents -(x - 2) and (-3). Lets make a new equation with only the exponents:
-(x - 2) = -3
Next, add the distributive property on the left side of the equation to remove the - sign outside (Note: Double negatives equal positive)
-x + 2 = -3
Subtract 2 from both sides:
-x = -5
Finally, it is asking for positive x not negative, so divide both sides by -1:
x = 5
So, the answer is A which is 5.
If 3-(x - 2) = 1/27 then the value of x is a) 5.
To solve for x, we'll follow these steps:
1. Distribute:
Distribute the negative sign into the parentheses:
3 - (x - 2) = 1/27
3 - x + 2 = 1/27
Simplify:
5 - x = 1/27
2. Isolate x:
To solve for x, we need to get it alone on one side of the equation. Subtract 5 from both sides:
5 - x - 5 = 1/27 - 5
-x = -134/27
3. Multiply by -1:
To solve for x, multiply both sides by -1 to isolate x:
-1 * -x = -1 * -134/27
x = 134/27
4. Simplify:
[tex]x = \approx 4.9629[/tex]
Since none of the given options exactly match the calculated value, we can see that option a) 5 is the closest answer.
However, the precise solution is a fraction between 4 and 5, so none of the provided options is an exact match.
In summary, while none of the given options is an exact solution, the closest answer is a) 5.
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Complete Question
Choose the correct answer from the given options:
If 3-(x - 2) = 1/27, what is the value of x?
a) 5
b) 3
c) -1
d) -5
I got ace in a week i felt so happy i wanna give someone branliest
2+2
Answer:
4
Step-by-step explanation:
2 plus 2 equals 4 lmk if you need more help
Answer:
4
Step-by-step explanation:
Show that (√7+i√3/√7-i√3 + √7-i√3/√7+i√3) is real
Answer:
Step-by-step explanation:
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider,
[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]
On taking LCM, we get
[tex]\rm \: = \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]
and
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]
So, using these Identities, we get
[tex]\rm \: = \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{2(7 - 3)}{7 + 3} [/tex]
[tex]\rm \: = \: \dfrac{2 \times 4}{10} [/tex]
[tex]\rm \: = \: \dfrac{4}{5} [/tex]
Hence,
[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]
Jaya is saving up for a computer.she babysits 3 days a week .however she spends $2 each day on gas to get there . If she makes a total of $84.00 in a week how much does she make babysitting each day
Answer:
28$
Step-by-step explanation:
She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.
Please answer these and find the slope intercept form for each one.
Best answer gets brainliest!
What did I do wrong 1st person answer get brainlist
Answer: you got the subtracted wrong.
Step-by-step explanation: 115 - 101 = (14)
you said 13
Evaluate for a:
69 = 13 - 7/12a
Answer:
-96
Step-by-step explanation:
69-13=13-7/12a-13
56=-7/12a
56 times 12=-7/12 times 12
672=-7a
Move negative over
-672=7a
-672/7=a
a=-96
Please show the process of your result. Thank you! :D
Answer:
[tex]3\sqrt{7}[/tex] Is correct answer
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
|2i+3j| is equal to:
Answer:
Step-by-step explanation:
|2i+3j|=√(2²+3²)=√(4+9)=√13
What is \frac{1.88x10^6}{2000} in scientific notation?
Answer:
Its actually 9.4 × 10²
Step-by-step explanation:
Express the ratio of 300 miles to 25 gallons of gasoline as a untie rate
Answers:
12 miles per gallon
1.2 miles per gallon
50 miles per gallon
32 miles per gallon
Answer:
12 miles per gallon (answer A)
Step-by-step explanation:
300:25
Divide each side by 25:
12:1
12 is your answer
Hope that helps
Please give a detailed explanation
[tex]\displaystyle \large \boldsymbol{} (7 \sqrt[5]{6x-10}) ^2 +\backslash\!\!\!8=\frac{49}{x^{-\tfrac{2}{5} }} +\backslash\!\!\!8 \\\\\\ 49\!\!\!\! \diagup \sqrt[5]{(6x-10)^2} = 49\!\!\!\! \diagup \cdot \sqrt[5]{x^2} \ \ ; \\\\\\ (6x-10)^2=x^2 \\\\ (6x-x-10)(6x+x-10) =0 \Rightarrow x_1=2 \ ; \ x_2=\frac{10}{7 }[/tex]
Which equations have the same pair of solutions? Select all that apply.
n(n + 3)(n - 4) = 0
2n(4n + 6)(6n - 4) = 0
0 = 2n(6 - 4n)(4 - 6n)
0 = n(2n + 3)(3n - 2)
2n(2n + 3)(3n - 2) = 0
3n(6n + 9)(9n - 6) = 0
Can someone help me, please?
Answer:
112
Step-by-step explanation:
Dalawang batong itim
Sa tabi mo.
[tex] \: \: [/tex]
Step-by-step explanation:
I havenot understand queation
3.5m/min = how manny miles/hour
Answer:
[tex]\sf\longmapsto0.13 miles/hour[/tex]
Step-by-step explanation:
Firstly we have to use the formula to find the miles/hour
[tex]\sf\longmapsto \: Formula:Divide \: the \: speed \: value \: by \: 26.822.[/tex]
[tex]\sf\longmapsto \: 3.5 \div 26.822[/tex]
[tex]\sf\longmapsto \: 0.13 miles/hour[/tex]
Gabriella is building a garden that is 3.6 m long by 7.77 m wide. What is the area of her garden?
PLEASE HELP ITS DUE REALLY SOON AND IM REALLY DESPERATE JUST ANSWER ANY QUESTION THAT YOU CAN AND PLS TELL ME WHICH ONE IT WAS. I WILL GIVE BRAINLIEST 5 STARS AND A THANKS PLS OMG :C SORRY THERE IS NOT A LOT OF POINTS :cCC
4. A: y= 2x + 6
B: y= x + 9
5. (3,12)
6. C: a pizza with 3 toppings will equal $12 at either restaurant
2. Find the value of x.
(1 point)
(5x)
(3x+28)
O 14
O20
O 12
O 19
Answer:
x = 14
Step-by-step explanation:
The triangle has 2 congruent legs and is isosceles with 2 base angles being congruent , then
5x = 3x + 28 ( subtract 3x from both sides )
2x = 28 ( divide both sides by 2 )
x = 14
A rectangle has dimensions x and x + 5. Determine the value of x that gives the rectangle an area of 36 cm^2.
a) 9
b) 4
c) 6
d) none of these
none of these i guess
Find the missing side of the length, s. I need help!
Answer:
s = 12
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{AB}{XY}[/tex] = [tex]\frac{AC}{XZ}[/tex] , substitute values
[tex]\frac{6}{9}[/tex] = [tex]\frac{8}{s}[/tex] ( cross- multiply )
6s = 72 ( divide both sides by 6 )
s = 12
Plz help me, thx you
Answer:
transversal line is line A. parallel lines are B and C. corresponding to angle A is angle D. and alternate angle to E is G.
Eight identical pens cost $10.80.
a. Write an equation in the given box that represents the total cost, y, in dollars for a pens.
All of the cheese slices at Chester's Cheesy Cafe have the same mass.
Chester finds that the total mass of 3 cheese slices is 27 grams.
What is the mass of one of the cheese slices?
grams
Mira has $76 in her bank account and receives $11 in allowance every week. Write and expression to represent how much money she after w amount of weeks
Answer:
87w
Step-by-step explanation:
If she has $76 in her accoumt
and receives $11every week
76+11=$87
she would have$87xw in w amount of weeks
Answer:
76 + (11w)Step-by-step explanation:
Mira has $76 in her bank account and receives $11 in allowance every week. Write and expression to represent how much money she after w amount of weeks
----------------------------
76 + (11w)
Claire ate dinner at her favorite restaurant. When she received her bill, she wanted to
leave a 15% tip. What is the correct amount for Claire to tip, if the bill was $9.00?
Answer:
$1.35
Step-by-step explanation:
you multiply $9.00 (9) by 15% (.15). Which gives you 1.35.
Help ASAP I’ll mark you as brainlister
There are 4 times as many dogs as cats if the total number of dogs and cats is 20
how many dogs are there
Answer:5
Step-by-step explanation: 4*5=20
Show 2 + 5 in number line.
Number of College Faculty The number of faculty listed for a variety of private colleges that offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty?
Answer: Number of College Faculty The number of faculty listed for a variety of private colleges which offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty? 165 221 218 206 138 135 224 204 70 210 207 154 155 82 120 116 176 162 225 214 93 389 77 135 221 161 128 310 Source
Consider the line y=-1/2x+9
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Parallel line: - 1/2
Perpendicular line: 2
Step-by-step explanation: