Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
1) Use Division Distributive Property: (x/y)^a = x^a/y^a.
[tex] \frac{1}{ {27}^{x - 8} } = 27[/tex]
2) Multiply both sides by 27^x - 8.
[tex]1 = {27} \times 27^{1 + x - 8} [/tex]
3) Use the product rule: x^a x^b = x^a+b.
[tex]1 = {27}^{1 + x - 8} [/tex]
4) Simplify 1 + x - 8 to x - 7.
[tex]1 = {27}^{x - 7} [/tex]
5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.
[tex] log_{27}1 = x - 7 [/tex]
6) Use Change of Base Rule.
[tex] \frac{ log_1 }{ log{27} } = x - 7[/tex]
7) Use rule of 1: log 1 = 0.
[tex] \frac{0}{ log_{27}} = x - 7[/tex]
8) Simplify 0/log_27 to 0.
[tex]0 = x - 7[/tex]
9) Add 7 to both sides.
[tex]7 = x[/tex]
10) Switch sides.
[tex]x = 7[/tex]
Therefor, the answer is x = 7.
Help me I’ll give 15 points
Answer:
y= -x+3
Step-by-step explanation:
The slope is -1
The y-intercept is 3 if you count up with rise over run
Put it all together and you get y= -x+3
What is the surface area of the cylinder?
226.08 cm²
678.24 cm²
1,356.48 cm²
452.16 cm²
Answer:
452.16
Step-by-step explanation:
i got it right on test
The surface area of the cylinder is,
⇒ TSA = 452.16 cm²
We have to given that;
Height of cylinder = 6 cm
And, Diameter of cylinder = 12 cm
Hence, We get;
⇒ Radius of cylinder = 12 / 2 = 6 cm
We know that;
The formula for the total surface area of a given cylinder whose radius is r and height is h is,
TSA = 2πr (h + r)
Hence, We get;
TSA = 2πr (h + r)
TSA = 2 × 3.14 × 6 (6 + 6)
TSA = 37.68 × 12
TSA = 452.16 cm²
Thus, The surface area of the cylinder is,
⇒ TSA = 452.16 cm²
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equivalent means that the expressions same value, and looks the same. True or False.
Answer:
True
Step-by-step explanation:
Ayúdenme por favor es muy importante
Answer:
boop
Step-by-step explanation:
Answer:
15-378099
Step-by-step explanation:
wjjcbm car red saw sell cell problem see one the window
A charge of 100 elementary charges is equivalent to?
[tex] \sf{with \: explanation \: please}[/tex]
Answer: The charge is equal to 1.602*10^(-17) C
Step-by-step explanation:
The elementary charge (the smallest charge that exists) is the charge of one proton (or the magnitude of the charge of a single electron), and it is equal to:
c = 1.602*10^(-19) C.
Where C stands for coulombs,
Then a charge of 100 elementary charges is equal to 100 times the charge of a single electron, this is:
Charge = 100*( 1.602*10^(-19) C) = 1.602*10^(-17) C
Solve the proportion for X
Answer:
x = 27
Step-by-step explanation:
Serena's average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?
Answer: She ran a total distance of 16 kilometers
Step-by-step explanation:
Average speed by Serana is given as = Distance /Time
But Average speed = 8 kilometers per hour
Time = 2hours
Distance = Average speed x Time
=8 km/h x 2hours
= 16 kilometers
Please help
Round your answer to the nearest hundredth
Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{5}[/tex] , then
∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 66.42° ( to the nearest hundredth )
SOMEONE PLZ HELPPO ME
When you see multiplying rational number you first
Answer:
use pemdas
Step-by-step explanation:
Help please
Brainiest answer to whoever is first
Answer:
84 inches squared
Step-by-step explanation:
perimeter = 6+7+5+10+15
= 43
Four students in mrs. smiths math class write value involving exponents. The table shows each student’s value. Which student has the greatest value?
A. Alison
B. Chris
C. Hannah
D. Steve
how many cubic feet will it take to fill the prism below
the answer is a did you multiply then divide
Answer:
480
Step-by-step explanation:
Please help me out! Last question of the day 4 me!!!
Answer:
1/3
Step-by-step explanation:
its not 3 bc from a to b its getting smaller
I need help on this and the first person who answer this correctly gets BRANLIST
Answer:
-5/4
Step-by-step explanation:
Use the formula lol
HELP ASAP!!!!!!!!!!!!!!!!!
Answer:
#3 2 Right, 4 Down & #4 Vertical Compression
Find the slope of the line through the points (12, -9) & (-11, -9)
Answer:
0
Step-by-step explanation:
Answer:
no. why?
Step-by-step explanation:
Can someone help me please
Answer:
The mode of sunday is 15 is correct
Select all the statements that are true about rectangles.
A Diagonals are congruent.
B Diagonals bisect angles.
C Opposite angles are congruent.
D Diagonals are perpendicular.
E Diagonals bisect each other.
Answer:
its A, B, E AND MABEY C
Step-by-step explanation:
The statements that are true about rectangles are mentioned in options [tex](A),(B),(C),(E)[/tex] .
What are rectangles ?Rectangles a shape with four sides and having internal angles of [tex]90^0[/tex]. Two of the sides are longer than the other two. The opposite sides of the rectangle are equal in length.
Properties of Rectangle :[tex](a)[/tex] The opposite sides are equal and parallel to each other.
[tex](b)[/tex] The diagonals bisect each other but not at [tex]90^0[/tex].
[tex](c)[/tex] Diagonals are equal in length.
[tex](d)[/tex] The diagonals of rectangle are congruent.
[tex](e)[/tex] The sum of interior angles is equal to [tex]360^0[/tex] .
[tex](f)[/tex] Each interior angle is equal to [tex]90^0[/tex].
[tex](g)[/tex] The angles of a rectangle are all congruent.
[tex](h)[/tex] Opposite angles of a rectangle are congruent.
So, from the above mentioned properties we can assume that statements mentioned in options [tex](A),(B),(C),(E)[/tex] are true about rectangles.
Hence, we can say that the statements that are true about rectangles are mentioned in options [tex](A),(B),(C),(E)[/tex] .
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I need help with the vocab
Find the median and mean of the data set below:
4, 45, 34, 23, 33
Answer:
27.8 is the mean... 33 is the median
Step-by-step explanation:
Which equation below will give a graph of a line parallel to the graph of -2x - 4y = 3?
Answer:
Any choice that has a slope of -1/2
Step-by-step explanation:
-2x - 4y = 3
-4y = 2x + 3
4y = -2x - 3
y = -1/2x -3/4
y = mx + b
m = slope
PLease help me me need help plzzzzzzzzzzzzzzzzzz
Answer:
A (90)
Step-by-step explanation:
Mode is the number that occurs the most in a data set, in this set, the number 90 appears 4 times as seen. Making it the mode
I NEED HELP ASAP!!!!!
Which numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), if any, will solve this equation?
2x + 3 = 5x - 3
Answer:
2
Step-by-step explanation:
2(2)+3=7
5(2)-3=7
Answer:
2
Step-by-step explanation:
2 multiplied by 2 is 4+3=7 and 5x2=10-3=7
How do I solve this question points to ever solves it.
part A- calculate the measure if
Part b- calculate the measure of
PLEASE HELP ME ITS DUE In 10 mins please
Answer:
Step-by-step explanation:
Part A
Since, BDFHJ is a regular pentagon,
Measure of interior angles of this pentagon = [tex]\frac{(n-2)\times 180}{n}[/tex]
= [tex]\frac{(5-2)\times 180}{5}[/tex]
= 108°
Since, ∠ABC ≅ ∠JBD [Vertical angles]
Therefore, m∠ABC = m∠JBD = 108°
Part B
m∠JBD + mCBD = 180° [Linear pair of angles]
108° + m∠CBD = 180°
m∠CBD = 180 - 108
m∠CBD = 72°
Similarly, m∠BDF + m∠CDB = 180°
m∠CDB + 108° = 180°
m∠CDB = 180 - 108
= 72°
In ΔCBD,
m∠BCD + m∠CDB + m∠DBC = 180°
m∠BCD + 72° + 72° = 180°
m∠BCD = 180° - 144°
= 36°
An employee does not pay tax on the first $4000 of earnings and then 25% tax on the rest of earnings. If he wants to have $20000 net of tax earnings does he need
Answer:
$68000
Step-by-step explanation:
Tax free earning = first 4000
Tax on remaining amount = 25%
Total earning in other to have $20000 net of tax earning :
Net of tax = tax free earning + (25% * remaining amount)
Let remaining amount = x
20000 = 4000 + (0.25 * x)
20000 = 4000 + 0.25x
20000 - 4000 = 0.25x
16000 = 0.25x
x = 16000 / 0.25
x = 64000
Hence,
Total earning should be :
Tax free earning + roaming amount
4000 + 64000
= $68000
A chef takes c cartons of eggs from the refrigerator. Each carton contains 12 eggs. The chef wants to have a total of at least 50 eggs.
Answer: 5 cartons
Step-by-step explanation:
If the Chef wants to have a total of at least 50 eggs and each carton contains 12 eggs, divide 50 by 12 to find out the number of cartons needed and then round the number up:
= 50 /12
= 4.16
Round it up to the nearest 1:
= 5 cartons
This will ensure that there is at least 50 eggs because 5 * 12 = 60 eggs.
A 3 pound package of ground beef sells for $6. At this rate, if John buys 10 pounds of
ground beef, how much would he pay?
Answer:
$20
Step-by-step explanation:
3 pounds of beef is 6 dollars.
6 divided by 3 is 2. Therefore, each pound cost $2.
He wants to buy 10 pounds of beef.
9 pounds would be $18.
Add 1 pound, which is $2 and you will get $20.
Therefore, he would pay $20!~
Hope this helps!~~ <3