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
What's 21 x 202
I need to know for my report
Answers
Answer:
4242
Step-by-step explanation:
Answer:
4242
Step-by-step explanation:
Which of the following is NOT on a credit report?
Answers
[tex]\sf -4(-4x-5)[/tex]
Answers
Answer:
[tex] - 4( - 4x - 5) = - 4 \times - 4x - ( - 4) \times ( - 5) \\ = 16x - 20[/tex]
Answer:
[tex]16x+20[/tex]
Step-by-step explanation:
[tex]-4(-4x-5)[/tex]
[tex]\mathrm{Multiply\:}-4\mathrm{\:to\:the\:values\:in\:the\:parenthesis}[/tex]
[tex]-4(-4x-5)[/tex]
[tex]-4\cdot-4=16[/tex]
[tex]-4\cdot-5=20[/tex]
[tex]=16x+20[/tex]
-16.51 divided by 2.54 I need answers
Answers
Answer:
Answer: -13\2Step-by-step explanation:
-16.51
---------
2.54
-16.51
--------
2.54
1651
------
254
-13
-----
2
Answer: -13
----
2
4. Kayla graphed a scatter plot of the number of hours she drove her car
(x) and the distance traveled (y). She drew the trend line and calculated its
equation to be y = 50x + 2. What is the predicted distance Kayla would
drive if she drove for 3.5 hours?
Answers
Which expression is equivalent to 9(h + 2)?
Answers
Answer:
9h + 18
Step-by-step explanation:
9 multiplyed by h is 9h. 9 multiplyed by 2 is 18. Therefore it is 9h + 18.
What is the slope of the line containing the points (-6,4) and (2,1)
Answers
The slope is -3/8.
Prove that APQR ~ ASTU
Answers
Thats how i do it ....i dont know about others
Jason and Krystal are selling pecan pies and strawberry cheesecakes for a school fundraiserJason sold 9 pecan pies and 8 strawberry cheesecakes for a total of $153. Krystal sold 2 pecan pies and 6 strawberry cheesecakes for a total of $72. If it is possible to find them, what is the cost of each pecan pie and strawberry cheesecake ? If not possible , explain why
Answers
From the equation that was gotten, the value of the pecan pies and the cheesecake will be $9 each.
Based on the information given, the equations to solve the question will be:
9p + 8s = 153 ..... i
2p + 6s = 72 ..... ii
Multiply equation i by 2
Multiply equation ii by 9.
18p + 16s = 306
18p + 54s = 648
Subtract the equations
38s = 342
s = 9
Since 2p + 6s = 72
2p + 6(9) = 72
2p + 54 = 72
2p = 72 - 54.
2p = 18
p = 18/2 = 9
They're both $9 each
Learn more about equations on:
https://brainly.com/question/25678139
Please help! I'm so stuck!
Asap!!
Answers
Explanation 0.2(80) - 0.12(80)
justin bieber is white
what is the slope of the line?
Answers
Answer:
5/3
Step-by-step explanation:
Use rise over run
it goes up five and goes right three.
If it were to go to the left it would be negative
Same rules apply if it were to go down it would be negative
the sum of the interior angle in a polygon is 40,500° what is the number of sides in the regular polygon
Answers
Answer:
227 sides
Step-by-step explanation:
The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:
40500 = 180(n-2)
225 = n-2
227 = n
Therefore, the number of sides in the regular polygon is 227.
Please. I just need an answer. I don’t know how to mark brainliest but if I did I would.
Answers
Answer:
60 degrees
Step-by-step explanation:
write 2 equivalent expressions for each and find the total price the price of a belt is $30 the belt is makeup 60%
Answers
A class of 25 students has 12 females. What is the ratio of males to females?
PLZ ANSSWER QUICK ITS URGENT FOR MY HOME-WORK!!!
Answers
Please look at the pictures below for the question and multiple choice answers, thank you.
Answers
What is the circumference of a circle with a diameter of 14 feet?
A. 14 pi feet
B. 96pi feet
C 196pi feet
D. 7 pi feet
Answers
Circumference of circle: 14 pi feet or 43.98.
But here answer is option A.
Answer:A
Plz HELP...(MATH)........
Answers
Answer:
36 times
Step-by-step explanation:
Because half the marbles are blue, you can predict that about half of the 72 times you will choose the blue marble, or 36 times.
if f(x)=2x^2-1, then f(-3)=
Answers
Answer:
f(-3) =17
Step-by-step explanation:
f(x)=2x^2-1
Let x = -3
f(-3)=2(-3)^2-1
= 2(9) -1
= 18-1
17
hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment
Answers
Answer:
41) 10
42) 65
43) 26
44) 33
45)65
41.)10
42.) 65
43.)26
44.)33
45.)65
hoped that helped:)
The expression 2,500(1.095)x represents the value of an investment after x years. What is the meaning of the 2,500?
Answers
Answer:
The value of the investment
Step-by-step explanation:
PLEASE HELP ASAP What is the m and b for this graph??
Answers
Answer:
m = - 1 and b = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = [tex]\frac{-3-2}{2-(-3)}[/tex] = [tex]\frac{-5}{2+3}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1
b is the y- intercept, that is where the graph crosses the y- axis.
line crosses the y- axis at (0, - 1 ) ⇒ b = - 1
Arthur paid $0.84 for 0.25 pound of potato salad. How much does one pound cost?
Answers
Step-by-step explanation:
1 pound is 4 times 0.25 pounds.
$0.84 = 0.25 pounds
1 pound = $0.84 times 4
1 pound = $3.36
Answer:
$3.36 per pound
Step-by-step explanation:
The information gives us that 1/4 a pound of salad costs $0.84, to get to one pound all we have to do is multiply $0.84 by 4 to get our pound price.
0.84*4= $3.36
Brainliest would be appreciated! :-)
The thermostat for a house is set to 68 °F, but the actual temperature may vary
by as much as 2 °F. What is the range of possible temperatures?
Answers
Answer:
the range is 66 to 70 since it can be 2 degrees in either direction
The range of possible temperatures is 66 to 70°F.
It is required to find the range of possible temperatures.
What is Temperature?The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.
Given:
The thermostat for a house is set to 68 °F, but the actual temperature may vary by as much as 2 °F.
According to given question we have,
∴The range is 66 to 70 °F since it can be 2 degrees in either direction.
Therefore, the range of possible temperatures is 66 to 70°F.
Learn more about temperature here:
https://brainly.com/question/11464844
#SPJ2
Marcus dropped a ball from a height of 400 cm. The sequence below shows the height of the ball, in cm, during its first four bounces.
240, 144, 86.4, 51.84,
Which formula could be used to determine the height of the ball after n bounces?
A. h(n) = 400(0.60)^n
B. h(n) = 400(0.60)^(n-1)
C. h(n)= 240(0.60)^n
D. h(n) - 240(0.60)^(n-1)
(nvm, I figured it out. sorry lol)
Answers
Answer: The answer is C.
Joe had some money. He spent $200 on clothes, 2/5 of his remaining money on a pair of boots and saved the rest. He saved $126. How much money did Joe have at first?
Answers
Answer:
im sorry i dont get it
Step-by-step explanation:
i need 20 characters, but the question is the photo
Answers
Answer: The answer is in the first image.
Explanation: The explanation is in the second image.
A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.
Answers
Answer:
2,000 tiles
Step-by-step explanation:
area of the floor divided by the area of one tile
area of a rectangle is length*width
so it's 40*15= 600
area of tile is 0.6m*0.5m = 0.3
600÷0.3 = 2,000 tiles
Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt
Answers
Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°
. He is 20 feet from the base of the tree when he measures the angle. What is the height of the tree rounded to the nearest hundredth?
Answers
Answer:
86.63 ft
Step-by-step explanation:
The tangent relation applies.
Tan = Opposite/Adjacent
tan(77°) = (tree height)/(20 ft)
tree height = (20 ft)·tan(77°) ≈ 86.63 ft
_____
Additional comment
It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.