Answer:
see explanation
Step-by-step explanation:
A
when 2 equal bases are being multiplied together their exponents are added together, that is
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
B
[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]
C
[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]
= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]
= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]
= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]
#A
a^b+a^c=a^b+c#B
12^5x×12^-712^5x-7#C
x⁴y^6k+2×x²y^-1x⁶y^6k+2-1x⁶y^6k+1divide and simplify. − 8/ 15 ÷ − 3/ 5
what is. the solution to this equation: 6r=33
Answer:
5.5
Step-by-step explanation:
6 x 5.5 = 33
The solution for r is 5.5
Answer:
r = 5.5
Step-by-step explanation:
6r=33
1. divide both sides by 6
6/6=1
33/6= 5.5
2. r=5.5
What is the difference between 1.1 and 1.10
Answer:
They are the same.
Step-by-step explanation:
1.1 and 1.10 are both the same, actually. There is just an extra 0 at the end. For example, 2 and 2.0 are the same, because 0 is 0, and it doesn't change your answer. The 0 could go on as in 1.100000000 but it will still equal 1.1 .
Hope this helped :)
1. Convert 8cm³ into m³
2. Convert 0.7m³ into cm³
3. Convert 4000000cm³ into m³
1. Convert 8cm³ into m³
= 8.0E-6 m³
(divide the volume value by 1e+6)
2. Convert 0.7m³ into cm³
= 700000 cm³
(multiply the volume value by 1e+6)
3. Convert 4000000cm³ into m³
= 4 m³
(divide the volume value by 1e+6)
find side x using sine rule
Answer:
x = 10.76 cm
Step-by-step explanation:
[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]
[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]
Hope this helps
What is 2x+3+8x=3x+9x+7
Answer:
x=-2
Step-by-step explanation:
Hey there!
In order to solve this equation, you need to combine like terms
The equation after combining the x terms and the contants will look like this
10x+3=12x+7
Now you have to take 10x away from both sides
3=2x+7
Now bring all the constants to the left side
3-7=2x
Simplify
-4=2x
divide 2 on both sides to get x by itself
x=-2
So, the answer is x=-2
If each vowel in the word COLLEGE substitutes with the next letter of the English alphabetical series and each constant is substituted with the 2nd letter preceding it. How many vowels are present in the new arrangement? Fast plsssssssssssss with steps....
Answer:
2
Step-by-step explanation:
Following the substitution rules:
O becomes P and
E becomes F
because they are vowels(a,e,i,o,u) change to next letter.
C becomes A
L becomes J
G becomes E
because constants change to the letter two before the given letter.
So COLLEGE becomes APJJFEF
so it now has 2 vowels.
The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. suppose intensity is 8000 units at a distance of 2 miles. what will the intensity be at a distance of 11 miles? round your answer to the nearest unit. a. 247 units b. 228 units c. 264 units d. 290 units
Answer:
The ratio of the new distance to the old distance is (11/2) .
The intensity is inversely proportional to the square of the distance,
so the new intensity will be (2/11)² times the old intensity.
Intensity = 8,000 (2/11)² =
32,000 / 121 = 262.463 units
Rounded to the nearest whole unit: 262 units
Step-by-step explanation:
264 units of intensity came from a distance of 11 miles option (c) 264 units is correct.
It is given that the intensity is 8000 units at a distance of 2 miles.
It is required to find the intensity at a distance of 2 miles.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station.
Suppose the Intensity of the signal is I and the distance is d, then:
[tex]\rm I \propto\frac{1}{d^2}[/tex]
Intensity from the station [tex]\rm I_1=8000 \ units[/tex]
[tex]\rm I_1[/tex] intensity at distance [tex]\rm d_1=2 \ miles[/tex]
Intensity from the station [tex]=\rm I_2[/tex]
[tex]\rm I_1[/tex] intensity at distance [tex]\rm d_2=11 \ miles[/tex]
[tex]\rm \frac{I_2}{I_1} = \frac{d_1^2}{d_2^2}[/tex] (From the proportional relation)
[tex]\rm \frac{I_2}{8000} = \frac{2^2}{11^2}[/tex]
[tex]\rm I_2 =8000\times\frac{4}{121} \\\\\rm I_2 = 264.46 \ units[/tex] ≈ 264 units
Thus, the 264 units of intensity came from a distance of 11 miles.
Learn more about the fraction here:
brainly.com/question/1301963
4/8 + 8 7/8 (this is fractions)
Answer:
9 3/8 as a fraction or 9.375 as a decimal
Step-by-step explanation:
4/8 + 8 7/8 = 75/8= 9 3/8= 9.375
Please help, I don't understand. I wish you all good luck :)
Answer:
83.6
Step-by-step explanation:
just use your calculator
Answer:
83.6
Step-by-step explanation:
It's simple, just type it in the calculator and you'll get the answer
50 = 3x+14 solve for x
Please help with this and how to solve it.
Answer:
angle HMS = 62 degrees
x = 13 degrees
AT = 28
Step-by-step explanation:
angle SHM and angle HMS are both inside the triangle SMH.
We want to find the angle of HMS. We know that the sum of the angles in the triangle adds up to 180 degrees. There are two angles that we already know.
Angle SHM = 28 (given)
Angle HSM = 90 (because it is a right angle which is always 90 degrees, right angles are formed at two perpendicular lines)
Angle HMS = x (we let angle HMS be a variable as we don't know the value for it)
x + 90 + 28 = 180
x = 62 ddegrees
HMS is 62 degrees
TSA is a right angle in triangle AST because it is formed by two perpendicular lines. Right angles always equal 90 degrees.
10x - 40 = 90
10x = 130
x = 13 degrees
AT and HT are both congruent sides. We know this because the figure we are given is a kite. In a kite, we have two pairs of sides that are congruent to each other. HT is congruent to AT while HM is congruent to AM.
So,
8x - 4 = 2x + 20
Subtraact 2 x from both sides
6x - 4 = 20
Add 4 to both sides
6x = 24
Divide 6 on both sides.
x = 4
Plug x back to AT.
AT = 2(4) + 20 = 28
what are the guidlines
Answer:
A guideline is a statement by which to determine a course of action. A guideline aims to streamline particular processes according to a set routine or sound practice.
Which of the following are prime factors of both 24 and 42? Select all that apply.
Answer:
2 and 3
Step-by-step explanation:
So, 24=2x2x2x3
42=2x3x7
3 and 2
Answer:
2 and 3
Step-by-step explanation:
prime factors for 42: 2, 3, and 7
prime factors for 24: 2,2,2 and 3
Which quadratic equation is equivalent itto * (x - 4) ^ 2 - (x - 4) - 6 = 0 ?
Answer:
[tex]x2 - 9x + 14 = 0[/tex]
Step-by-step explanation:
x2 - 9x + 14 = 0
Each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch. Please help me!! I need an answer fast!
Answer:
To represent all the possible amounts that Samantha can pay, you will write that x is less than or equal to 15.
This means that any amount up to and including 15 is a possibility.
Step-by-step explanation:
Answer:
x≤15
Step-by-step explanation:
x means how much samantha is able to spend on lunch each week. she can spend only 15 dollars or less. -Crispin
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST
100 points !! 3 answers !!
Instructions: Find the missing side. Round your answer to the nearest tenth.
#1
cos28=x/25x=25cos28x=22.1#2
cos26=x/15x=15cos26x=16.7#3
tan41=x/16x=16tan41x=14Answer:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 28°A = xH = 25[tex]\implies \sf \cos(28^{\circ})=\dfrac{x}{25}[/tex]
[tex]\implies \sf x=25cos(28^{\circ})[/tex]
[tex]\implies \sf x=22.1\:(nearest\:tenth)[/tex]
Given:
[tex]\theta[/tex] = 26°A = 15H = x[tex]\implies \sf \cos(26^{\circ})=\dfrac{15}{x}[/tex]
[tex]\implies \sf x=\dfrac{15}{\cos(26^{\circ})}[/tex]
[tex]\implies \sf x=16.7\:(nearest\:tenth)[/tex]
Given:
[tex]\theta[/tex] = 41°O = xA = 16[tex]\implies \sf \tan(41^{\circ})=\dfrac{x}{16}[/tex]
[tex]\implies \sf x=16\tan(41^{\circ})[/tex]
[tex]\implies \sf x=13.9\:(nearest\:tenth)[/tex]
The lifetime of a certain type of light bulb can be approximated by a normal distribution. The list
gives the number of days a bulb can last for 10 light bulbs selected at random. Find the mean and
standard deviation of the data set. Then sketch a normal curve to represent the distribution.
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
The standard deviation of the dataset is the square root of the variance
The mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
How to determine the mean?The dataset is given as;
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
Calculate the mean using:
μ = Sum/Count
So, we have:
μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10
Evaluate
μ = 24.6
How to determine the standard deviation?The standard deviation is then calculated using:
[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]
Evaluate
[tex]\sigma = \sqrt{32.44}[/tex]
Evaluate the square root
[tex]\sigma = 5.70[/tex]
Hence, the mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
Read more about variance at:
https://brainly.com/question/15858152
Kendrick wants to write the number .000065 in scientific notation. What exponent should he use for the power of 10?
..............................................................
Answer:
yes
Step-by-step explanation:
yes
For each ordered pair determine whether it is a solution to Y= -8
Ordered pairs:
(-8,2)
(1,9)
(4,-8)
(0,-3)
Answer:
(4,-8) is the only correct solution because it is the only one to have a Y value of -8
pls help me with this i will make you brainiest
1. - 3p^3 + 7p^2 - 3
2. 5a^3 - 5a^2
3. 6 + 7n^3
4. - 6n^3
5. a^2 + 2r^4
6. 9r^3 + 2r^4
7. 1
8. 6x^4 - 6x
9. - 7k^4 - 11k^2 + 6
10. 2n^5 - 2n^4 + 3n + 3
11. 14a^5 + 14a^4 - 10a^3 - 16a
12. - 14n^4 - 7n^2 + 8n + 7
13. 18x^5 + 6x^4 + 12x^3
14. 7r^3 - 3r^2 + 20r
15. 8n - 8n^4
16. - 2x^5 + 10x^4 + 5x + 14
17. 4x^5 - 15x^3 - 11x - 1
18. 5a^5 + 23a^2 - 11a
19. 15v^5 + 4v^3 - 24v^2
20. 2b^4 + 15b^3 - 3
Emma buys a game for $26.84 she gives the clerk $30.00. List Emma’s change using the least amount of dollar bills and coins
Answer:
4 dollars, a dime, a nickel, and a penny
Answer:
4 dollars
1 dime
1 nickel
1 penny
Step-by-step explanation:
(WILL GIVE BRAINLIEST TO CORRECT ANSWER)
Below is a table showing the maximum distance over time that an Adélie penguin can walk.
The distance that an emperor penguin can walk over a period of time is represented by the equation d=1.7t
A. Which penguin species has a faster maximum walking speed? Show your work.
B. Approximately how long would it take the fastest penguin from both species to walk 3 miles? Show your work
Answer:The penguin will walk 75.15 feet in 45 seconds.
It will take the penguin 26.95 seconds to walk 45 feet.
Through cross multiplication we can determine the unknown quantity we need
Step-by-step explanation:
NEED HELP!! THX! please answer part b, I already have part a.
Answer:
See below ~
Step-by-step explanation:
3.25% is the interest rate, meaning it won't be constant, but a coefficient of the function$15,000 is a constant as the interest gets added to itThe function can be written as :
aₙ₊₁ = 0.325aₙ + 15000Answer the statistical measures and create a box and whiskers plot for the following set of data. 4,4,5,5, 6, 6, 8, 10, 11, 11, 12, 14 Min: Q1: Med: Q3: Max: Create the box plot by dragging the lines: 2 3 4 b 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Answer:
Step-by-step explanation:
First you take your smallest number, which in this case is 4 - then you find your maximum number which is 14. Then we can list these numbers on a piece of paper and cross a number out from each side until you reach the middle number which would be 8. Then you go from the min to the middle number which would be 5. Then you repeat between the max number and the middle number which is 11. So your minumum would be 4, max would be 14, Q1 would be 5 Median would be 8 and Q3 would be 11. Let me know if I got it right! I haven't done it for a while, but I am pretty sure this is correct..
The missing values are:
Minimum value = 4 ,
Q₁ = 5 ,
Median = 6,
Q₃ = 11
Maximum value = 14.
What are Quartiles?The set of values known as quartiles divides a batch of data into four equal portions.
We have,
Minimum value = 4
Now, arrange the data in ascending order
4,4,5,5, 6, 6, 8, 10, 11, 11, 12, 14
Then, Quartiles
Q₁ = [ (n+1)/4]th term
= (12+1) / 4
= 3.25th term
= 3rd term + 0.25 ( 4th term - 3th term)
= 5 + 0.25 (5 -5)
= 5
Now, Median = (N/2)th term
= 12 /2
= 6th term
= 6
and, Q₃ = [3(n+1)/4]th term
= 3 × 3.25
= 9.75
= 9th term + 0.75( 10th term - 9th term)
= 11 + 0.75 (10 -10)
= 11
and, Maximum value = 14
Learn more about Quartiles here:
brainly.com/question/27504751
#SPJ2
Will give brainliest thanks so much!!!
Answer:
76.6%
Step-by-step explanation:
345/450 * 100%
I hope it helps and sorry if I'm wrong
You received your $1,200 stimulus check from the government due to the coronavirus. If you choose to invest this into an investment account that pays 5.25% compounded continuously (rather than spending it), how long will it take to double your money?
Answer: IRS has sent $6 billion in stimulus payments just in June. Here's how to track your money Your stimulus check could be on its way, along with child tax credit money and unemployment tax refunds.
Step-by-step explanation:
Solve the following system of linear equations algebraically.
3x + y = 5
5x – 4y = -3
3x+y=5 & 5x-4y=-3
3x+5x=8x+y-4y=-3
8x+y-4y=-3
8x+3y=-3
-3 -3
8x=-6
x = 1 and y = 2.
Step-by-step explanation:
to do this, i changed the form of one of the equations so it was in the y= form then plugged it into the pther equation to solve for x. once i had x i plugged it into one of the equation to get y! hope this helps