Answer:
rational
Step-by-step explanation:
Prove that: 6^7-6^6+6^5 is divisible by 31
15 points!!!
Step-by-step explanation:
[tex]6^7-6^6+6^5=6^{5+2}-6^{5+1}+6^5\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=6^5\cdot6^2-6^5\cdot6^1+6^5\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\=6^5\cdot(6^2-6^1+1)=6^5\cdot(36-6+1)=6^5\cdot31\\\\6^7-6^6+6^5=6^5\cdot31[/tex]
therefore it's divisible by 31
[tex](6^7-6^6+6^5):31=(6^5\cdot31):31=6^5[/tex]
[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]6^7 - 6^6 + 6^5[/tex] s
Taking common factors.
[tex]6^5[/tex] (6² - 6 + 1)
[tex]6^5[/tex] (36 - 6 + 1)
[tex]6^5[/tex] x 31
This is divisible by 31.
Thus,
[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.
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On a piece of paper, graph y= -2x - 3. Then determine which answer
matches the graph you drew.
The measures of the angels of a triangle are show. In the figure below solve for x
Answer:
54
Step-by-step explanation:
90+36= 126
180-126= 54
Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°
In the year, it was released, Rush Hour earned $334,100,000 while the films Star Wars and Freaky Friday together earned $1,096,599,010. How much did all three movies earn together?
A. $1,430,699,010
B. $1,420,699,010
C. $1,330,699,010
D. $762,499,010
And brainliest.
Answer:
A. $,143,699,010
Step-by-step explanation:
Use a calculator my friend.
A. 1,430,699,010
put it in a calculator and then you should have the right answer
What is Square root of 296 to the nearest tenth?
Answer:
16.4
Step-by-step explanation:
√269= 16.40121946...
simplifies to 16.4 I believe
Answer: 17.2
Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:
Step 1: Calculate
We calculate the square root of 296 to be:
√296 = 17.20465053408530
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
17.20
Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:
17.2
The speed limit on a highway is 80 miles per hour. How many miles per minute is this?
Answer:
1.3333
Step-by-step explanation:
1.3333
Conversion Table
miles per hour to miles per minute
mph mi/min
80 1.3333
90 1.5
100 1.6667
The speed of this:
70 miles per hour
1 hour = 60 minutes
70/60 = 7/6
around 1 1/6 mile per minute
hope this helps
Which equation represents the line passing through the points (4, −1) and (1, 0)?
Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1
x2+2x+3 factorization
Answer:
Not possible
Step-by-step explanation:
Given quadratic polynomial = x² + 2x + 3.
Possible factors of 3 are , 1 & 3 .
And we can get 2 from 3 and 1 in only one way that is 3 - 1 .
=> x² + 2x + 3 .
=> x² + 3x - x + 3 .
=> x ( x + 3 ) - 1 ( x - 3 )
Hence the factorisation is not possible .
If f(x) is differentiable for the closed interval [−4, 0] such that f(−4) = 5 and f(0) = 9, then there exists a value c, −4 < c < 0 such that
f(c) = 0
f '(c) = 0
f (c) = 1
f '(c) = 1
Sally bought 3 packs of strawberries for $7.65. What is the unit price? (price per ONE pack)
A. $2.55
B.$2.05
C. $1.55
D. $2.75
Answer:
A
Step-by-step explanation:
you just need to divide $7.65 by 3
Answer: The answer is A
Each box cost $2.55
Step-by-step explanation:
7.65 divided by 3 = to 2.55
Complete the similarity statement for the two triangles shown. L 25 ft 18 ft 10 ft Z 55 ft 01 22 ft Enter your answer in the box. A D 45 ft Δ DPL »Δ P Р 3 4 5 6 7 8 9 10
Answer:
∆DPL ~ ∆QAZ
Step-by-step explanation:
In the diagram given, the following can be deduced:
<D is congruent to <Q
<P is congruent to <A
<L is congruent to <Z
From these, looking at the letter arrangement, the similarity statement can be written as:
∆DPL ~ ∆QAZ
answer this!! will mark brainliest! 20 points
Answer:
Step-by-step explanation:
is the first choice, no other terms have anything in common with the number
399 or variable w
The second derivative of a function F is given by F^11(x)=sin(3x)- cos (x^2). How many points of inflection does the graph FF have on the interval 0
What’s the answer to this radical functions equation ASAP
9514 1404 393
Answer:
y = ∛(x -4) -1
Step-by-step explanation:
The transformation ...
g(x) = f(x -h) +k
translates the graph of f(x) h units to the right and k units up. Here, the cube root function is translated 4 units right and 1 unit down, so h=4 and k=-1. Putting those into your equation gives ...
y = ∛(x -4) -1
How do you skip videos on edunuity?
Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.
Step-by-step explanation:
You may have to press next activity again and it might not work the first time but I promise it works.
Answer:
you skip when it comes to the very end
Step-by-step explanation:
Please Give BrainleastGeorgia wants to test a protein supplement
for muscle gain. It randomly selects 15
players to take the supplement and 15
players to take a placebo. Before and after
10 weeks of taking these pills, the players'
muscle mass is measured and compared.
This is an example of a(n):
A) Sample B) Observational Study
C) Census D). Experiment
Which function has a graph with a positive y-intercept?
A. I and III only
B. I only
C. II, and III
D. III only
Answer:are you taking AP calculus AB
Step-by-step explanation:
Answer:
A l and lll
my teacher helped me
What 7 to the 2 power plus 6
Answer:
[tex]7^2+6[/tex]
7 to the 2nd power is 49
49+6
55
Solve for x.
Round to the nearest hundredth if necessary.
Answer:
4.24
Step-by-step explanation:
By geometric mean property
[tex] {x}^{2} = 6 \times 3 \\ \\ {x}^{2} = 18 \\ \\ x = \pm\sqrt{18} \\ \\ x = \pm 4.24264069 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 4.24 \: units \\ [/tex]
The distribution of sample means for monthly employee income at a particular company for samples of 70 employees is normal, with a mean of $5971 and a standard deviation of $219 . You take a random sample of 70 employees from the company and find that their mean monthly income is $5 comma 751 . How many standard deviations is the sample mean from the mean of the distribution of sample means? Round to one decimal place.
Answer:
The value is [tex]z = -8.4[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 70
The mean is [tex]\mu = \$ 5971[/tex]
The standard deviation is [tex]\sigma = \$ 219[/tex]
The sample mean is [tex]\= x = \$ 5751[/tex]
Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = -8.4[/tex]
Question in picture below will give brainly.
Answer:
The Best answer would be The Third Option Below
Step-by-step explanation:
The explains why a x b = b x a and a + b = b + a.
What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60
Answer:
[tex]y = \frac{224}{15}[/tex]
Step-by-step explanation:
Given
[tex]y = 7x + 14[/tex]
[tex]2x + 4y = 60[/tex]
Required
Find y
First, substitute 7x + 14 for y in the second equation:
[tex]2x + 4y = 60[/tex] becomes
[tex]2x + 4(7x + 14) =60[/tex]
Open bracket
[tex]2x + 28x + 56 = 60[/tex]
[tex]30x = 60 - 56[/tex]
[tex]30x = 4[/tex]
Solve for x
[tex]x = \frac{4}{30}[/tex]
[tex]x = \frac{2}{15}[/tex]
[tex]y = 7x + 14[/tex] becomes
[tex]y = 7 * \frac{2}{15} + 14[/tex]
[tex]y = \frac{14}{15} + 14[/tex]
[tex]y = \frac{210+14}{15}[/tex]
[tex]y = \frac{224}{15}[/tex]
Hence:
[tex]y = \frac{224}{15}[/tex]
Which expression can be used to find 1/2 of 12
Expression can be used to find 1/2 of 12 is 1/2*12
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex](in percentage)
Given;
P= 1/2 => 5/10 => 50/100
b= 12
substituting in the formula;
a/12 = 50/100
putting the value of 50/100 from given
a/12= 1/2
a= 1/2*12
Therefore, the correct answer will be 1/2*12
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(14)/(5)=(x)/(25) please help
Step-by-step explanation:
(14)/(5)=(x)/(25)
We move all terms to the left:
(14)/(5)-((x)/(25))=0
We add all the numbers together, and all the variables
-(+x/25)+14/5=0
We get rid of parentheses
-x/25+14/5=0
We calculate fractions
There is no solution for this equation
Determine the total surface area of each right triangle-based prism
Answer:
small prism: 630 m²large prism: 2520 m²Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
small prism: 630 m²large prism: 2520 m²Which of the following is an arithmetic sequence?
O A. 2, 4, 16, 32,
O B. 5,-5, 5, -5,..
OC. 2,3, 7, 1, ..
OD. 3, 0, -3, -6
Answer:
D
Step-by-step explanation:
because it has a varying and uniform difference of -3
The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the two numbers?
Answer:
3
Step-by-step explanation:
system of equations:
[tex]a+b=4[/tex]
[tex]a^3+b^3=28[/tex]
[tex]a=4-b[/tex]
plug in for a in other equation and solve
[tex](4-b)^3+b^3=28[/tex]
[tex]64-48b+12b^2-b^3+b^3=28[/tex]
[tex]64-48b+12b^2=28[/tex]
[tex]0=36-48b+12b^2[/tex]
[tex]0=3-4b+b^2[/tex]
[tex]0=(b-3)(b-1)[/tex]
[tex]b = 3[/tex]
or
[tex]b=1[/tex]
plug into other equation to get a
[tex]a=4-b=4-3=1[/tex]
or
[tex]a=4-b=4-1=3[/tex]
multiply together
[tex]1*3=3[/tex]
Write the explicit rule for the given the sequence: 125, 25, 5, ...
Answer:
An=125(1/5)^n-1
Step-by-step explanation:
r=common ratio
A1= first term in the sequence
I hope this helps some
The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
The given GP series is 125, 25, 5, ...
First term a = 125
Common ratio = 25/125 = 1/5
The nth term will be given as ar^(n-1)
Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".
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