Answers
Answer:
x=3
Step-by-step explanation:
The problem can be re-written as :
[tex] \sqrt{3^{x} } \div \sqrt{3} = 3[/tex]
This is because x to the power of 1/2 is the same as the square of x.
multiply both sides by sqrt3
[tex] \sqrt{3^{x} } = 3 \sqrt{3} [/tex]
square both sides
[tex]3 ^{x} = (3)^{2} ( \sqrt{3} )^{2} [/tex]
simplify
[tex]3 ^{x} = 9 \times 3[/tex]
3 to the power of x is equal to 27
3 cubed (to the power of 3) is 27
so x is equal to 3.
hope i helped, and good luck :)
Related Questions
Segment AB is being dilated with the center at the origin. The image of A, point A prime, has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point B prime?
Answers
Step-by-step explanation:
The location of A is 3.2
The location of A' is 6.4
A represent pre image A' represent the new image.
The scale factor of A to A' is 2 since 3.2 x 2 =6.4
Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.
Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).
Step-by-step explanation: i hope this helps im sorry if this didnt help
A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.
Answers
Answer:D
Step-by-step explanation:
HELP ASAP PLS PLS PLS
Answers
Answer: vertical
Step-by-step explanation:
Answer: its A
Step-by-step explanation:
- 10x - 5y = 5 - 4x + 5y = 23
Answers
Linear system
x-y=9
X+2y=27
Answers
15-6=9
15+2(6)=27
2(6)=12
Which is heavier, 4 and a half pounds or 80 ounces
Answers
Answer:
80 ounces is heavier by 8 ounces or half a pound
Step-by-step explanation:
1 pound = 16 ounces
4.5*16= 72 ounces
The sides of a triangle formed a geometric progression with a ratio r. For what values of r, it is possible?
Answers
Answer:
ok so i really shouldnt get points for this, but i wanted to help. The person who solved the problem here: https://math.stackexchange.com/questions/2911546/suppose-the-sides-of-a-triangle-form-a-geometric-progression-with-common-ratio-r is correct, but it is not very clear. Basically, he rounded to the third decimal point (since a sqrt has infinate decimals), and this might have been what got you the wrong answer. Basically the important thing is that r has to be between the (-1+√5)/2 and (1+√5)/2, or (-1+√5)/2 < r < (-1+√5)/2
what's
[tex] \sqrt{225} [/tex]
Answers
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
15
Step-by-step explanation:
Hope it is helpful....
Answer:
The Square root of 225 is 15
-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D
Answers
Answer:
Step-by-step explanation:
Help me find y intercept, slope, and linear function
Answers
Answer:
y=5 m=3
Step-by-step explanation:
i mean it shows you the y intercept and the slope and the linear function all in that one picture
Answer:
y-intercept = 5
slope = -1/3
Step-by-step explanation:
Subtract (-3f - 4g + 9) - (2 - 6f + 5g).
Answers
Answer:
Step-by-step explanation:
Remove the brackets. Watch out for that minus sign. It affects all three terms in the right bracket.
(-3f - 4g + 9) - (2 - 6f + 5g)
-3f - 4g + 9 - 2 + 6f - 5g
+3f - 9g + 7 is your answer.
Answer:
3f−9g+7
Step-by-step explanation:
(−3f−4g+9)−(2−6f+5g)
To find the opposite of 2−6f+5g, find the opposite of each term.
−3f−4g+9−2−(−6f)−5g
The opposite of −6f is 6f.
−3f−4g+9−2+6f−5g
Subtract 2 from 9 to get 7.
−3f−4g+7+6f−5g
Combine −3f and 6f to get 3f.
3f−4g+7−5g
Combine −4g and −5g to get −9g.
3f−9g+7
Is the ordered pair (4,-3) a solution for the following system of linear inequalities?
x+y<+1 y<5x-2
Answers
Answer:
no
Step-by-step explanation:
(4, -3) when plugged into the inequality x + y < 1 is not true
4 + (-3) < 1 is not true because 1 is not less than 1
what is the simplest form of 60 : 120?
Answers
Answer:
1 : 2
Step-by-step explanation:
60 is 60 x 1, and 120 is 60 x 2
Steven has 1 bag that contains disks numbered 1, 2, 3. He also has a second bag that contains four disks named A, B, C, and D. Construct a sample space of picking one disk randomly for each bag and state the total of outcomes possible
Answers
Answer:
Total possible outcomes = 12
{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}
Step-by-step explanation:
Bag 1 = { 1, 2, 3}
Bag 2 = {A, B, C, D}
Sample space :
Size of bag A * size of bag B
3 * 4
= 12
Can anybody help me with this please
Answers
Jan is not correct. The opposite of any number will not always be a positive. This is because the opposite of a positive number is negative and the opposite of a negative number is positive.
Basically, opposite numbers are numbers that are the same distance to 0 on a number line. If we were to have a positive 1, the opposite of that number would be a -1, because that's equally distant from 0 on a number line.
Answer:
Search up the name of the exit ticket and then u get ur answers
Step-by-step explanation:
The given polygons are similar. Find the value of x.
Answers
Answer:
x= 10 hope it helps have a nice day
Answer:
x=10
Step-by-step explanation:
[tex]\frac{8}{12} =\frac{x}{15}[/tex]
8×15=12x
120=12x
120/12=x
10=x
x=10
Hope this helps! :)
awnser for brainliest and why u chose the awnser
Answers
Answer:
6 kilometers. This is because A,B, and C are all around 18 feet. However, 6 km = 19,685 feet and that is unrealistic.
Gabby has $1,506 in a savings account that pays 2.5% simple interest. How much interest will she earn in 3 years?
Answers
Answer:
$112.95
Step-by-step explanation:
Use the simple interest formula, I = prt
Plug in the initial amount, interest rate, and number of years
I = prt
I = (1506)(0.025)(3)
I = 112.95
So, the interest created in 3 years is $112.95
I = (1506)(.025)(3)
I = 37.65 (3)
I = $112.95
Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is 6º more than three times the other angle.
Answers
Answer:
The two angles are 69° and 21°.
Step-by-step explanation:
Write out the expression:
let x and y be two angles that are complementary and the sum of their measures is 90°
-> x° + y° = 90°
if one angle is 6º more than three times the other angle:
-> x° = 6° +3y°
Plug x = 6+3y into x° + y° = 90°
6° + 3y° + y° = 90°
Solve for y
4y° = 84°
y° = 21°
Plug y into x° + y° = 90°
x° + 21° = 90°
Solve for x°
x° = 90° - 21° = 69°
help mee pleaseeeeeeas
Answers
Answer:
Step-by-step explanation:
Volume = 1/2 a * b*h
So
V= 1/2 (9)(6)(21)= 567 us ^3
CAN SOMEONE PLEASE HELP THIS IS DUE AT MIDNIGHT (I’ll give brainlist)
Answers
Answer:
d° = 62°
e° = 90°
f° = 27°
g° = 27°
h° = 118°
j° = 62°
k° = 63°
Step-by-step explanation:
The relationship between the given angles are;
k° = 63° (Vertically opposite angles)
63° + f° = 90° (Given complementary angles)
∴ f° = 90° - 63° = 27°
f° = 27°
g° = f° (Vertically opposite angles)
∴ g° = f° = 27°
g° = 27°
e° + 63° + f° = 180° (The sum of angles on a straight equals 180°)
∴ e° = 180° - (63° + r°) = 180° - (63° + 27°) = 90°
e° = 90°
h° = 118° (Vertically opposite angles)
118° + d° = 180° (The sum of angles on a straight equals 180°)
∴ d° = 180° - 118° = 62°
d° = 62°
j° = d° (Vertically opposite angles)
∴ j° = d° = 62°
j° = 62°
Animal Nutrition Kevin's dog Amadeus likes two kinds of canned dog food. Gourmet Dog costs 40 cents a can and
has 20 units of a vitamin complex; the calorie content is 75 calories. Chow Hound costs 32 cents a can and has 35 units of vitamins and 50 calories. Kevin likes Amadeus to have at least 1175 units of vitamins a month and at least
2375 calories during the same time period. Kevin has space to store only 60 cans of dog food at a time. How much of each kind of dog food should Kevin buy each month to minimize his cost?
Answers
Answer:
The answer should be 15 cans GD and 25 cans CH
Step-by-step explanation:
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Answers
Answer:
5 yr and 39 yr
Step-by-step explanation:
Let x = the age of the younger
then 7x + 4 = the age of the older
Now x + 7x + 4 = 44
8x + 4 = 44
8x = 40
x = 5
7x + 4 = 7(5) + 4 = 35 + 4 = 39
Check: 5 + 39 = 44
help please!!
Find the missing length indicated. Round to the nearest hundredth (two decimal places), if needed.
Answers
26 I think (i'm not sure please correct me.)
How do you know
the quotient of 639 /
6 is greater than
100 before you actually divide
Answers
Answer:
because since the question is 639 / 6
we immediately know that 600 / 6 is 100
639 / 6 = 106.5
Answer:
You just need a little conversion to get the answer.
[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]
shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation
Answers
the total sale was neither a profit nor loss , 0%
Step-by-step explanation:
1st table :
100%-> 9900
110%-> 10890
10890-9900=990(earned)
------------------------------------------
2nd table :
100%->9900
90%-> 8910
9900-8910=990(lost)
990-990=0
hence the total sale was neither a profit nor loss , 0%
please help if your able to (:
Answers
Answer:
4/9
Step-by-step explanation:
(2/3)^2 is another way of writing:
2/3*2/3
Which is 4/9
Hope this helps
Answer:
2/3*2/3 4/3
Step-by-step explanation:
Will mark brainliest if ur right! if not, u wont get it.
Answers
Answer:
(-4,4)
Step-by-step explanation:
I believe that's it
TRUE or FALSE: The equation 2x + 3y = 32 is not an example of a linear equation in two variables ( I uh need this now-)
Answers
Answer:
False
Step-by-step explanation:
It is a linear equasion because it's in ax+by=c form
Find the missing angle measure. PLEASE HELP ASAP
Answers
Answer:
Angle 1 is 57 degrees
Angle 3 is 57 degrees
Angle 4 is 123 degrees
Step-by-step explanation:
Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57
Then for angles one you do the same maththat you do for finding angle 3
Then for angles 4 subtract 180-57=123