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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The two parallelograms below are similar.
What is the length in inches of line PQ?
A. 38 in
B. 34 in
C. 40 in
D. 14 inch
I need help with mathematics and I have to ask a couple questions about it
Answer:
Sure. What are the questions?
Ellen collected 88 empty cans to recycle,and Carl collected 72 cans. They packed an equal number of cans into each of two boxes to the recycling center
ellen had 44 per box and carl had 36 per box
but if they had only two boxes altogether then each box had 80 cans in it
Read the excerpt from Silent Spring.
On the farms the hens brooded, but no chicks hatched. The farmers complained that they were unable to raise any pigs—the litters were small and the young survived only a few days. The apple trees were coming into bloom but no bees droned among the blossoms, so there was no pollination and there would be no fruit.
The repetition of the word “no” in this excerpt helps create a tone of
motivation.
doom.
acceptance.
violence.
Answer:
B.) Doom
Step-by-step explanation:
I just did that test on Edge.
The repetition of the word “no” in this excerpt helps create a tone of doom.
What is tone?Tone in literature is the general character as well as the attitude of the author on the piece of writing or the situation.
In the case of the text, doom was used which means the predicament or unpleasant situation that took place in the farms when the hens brooded, but no chicks hatched.
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HELPPPPPP MEEEE!! A deep-sea diver found an amazing reef 15 kilometers below sea level. What integer would represent this situation
Answer:
-15
Step-by-step explanation:
Sea-level can be seen as 0 on a number line. The Diver is going below the sea-level, so think of this as him going below the number zero, into the negatives. He is going down 15km, so -15km would represent the integer (whole number) that you're looking for.
Amy has an adjusted gross income of $85,600. For the house she is considering buying, her monthly mortgage payment would be $1,711.22, her semi-annual property tax bill would be $3,239, and her annual homeowner’s insurance bill would be $980. She has a credit card bill that averages $500 per month and a $475 car payment. What is her back-end ratio?
Answer:
85,600:6,905.22
Step-by-step explanation:
The area under the density curve that lies to the right of 11 is 0.322. What percentage of all possible observations of the variable are at most 11?
Answer: 67.8%
Step-by-step explanation:
The variables that are at most 11 will lie on the left of 11.
The percentage of the possible observations to the left will be:
= 1 - percentage to the right
= 1 - 0.322
= 0.678
= 67.8%
11
Resel
A line passes through the points (2, 2) and (-4,-2). What is the equation in standard form of
the line?
A 2x - 3y = -2
B 2x - 3y = 2
C 2x + 3y = -2
D 2x + 3y = 2
A sea lion was swimming at 2 feet below sea level. The number line shows
the location of the sea lion. It then swam down 8 feet. Describe how to use
the number line to find the new location of the sea lion.
109 8-7 654 3 -2-1 0 1 2 345 6789 10
OA. On the number line, move 8 units to the right. End at 10. The sea
lion was 10 feet above sea level.
OB. On the number line, move 8 units to the left. End at -6. The sea
lion was 6 feet below sea level.
O C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
OD. On the number line, move 8 units to the right. End at 6. The sea
lion was6 feet above sea level.
EPREVIOUS
Answer:
C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
Step-by-step explanation:
hope I helped
HOw do I complete all my homework on time? I have a BUNCH of homework
Answer:
One helpful technique I used to stay focused is to buy a pack of m&ms or mini candies and every time I complete a problem I eat one candy or m&m. Also, try making a goal for yourself for example "my goal is to complete 100 problems in an hour"
Step-by-step explanation:
I hope this helps
message me with any more questions u have
OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe
what is the final position of (-7) + (-2) on a number line ?
Answer:
answer is A, source: a calculator
Step-by-step explanation:
if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION
Answer:
Step-by-step explanation:
It’s 9 because you make 7 and 2 a positive number
Which number line best represents the solutions to 7 < -2x + 3?
Answer:
B or D
Step-by-step explanation:
Gabriel earned $238.40 at His job when he word for 16 hours what was his hourly wage in dollars per hour?
Answer:
$14.9
Step-by-step explanation:
238.40 / 16 = $14.9 hourly
Answer:
Gabriel earns $14.90 per hour
Step-by-step explanation:
238.4 divided by 16 gives you 14.9
Hope this helps
Solve formula as indicated. - F = m + 2a for a
Answer:
The value of 'a' will be:
[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]
Step-by-step explanation:
Given the formula
[tex]-F = m+2a[/tex]
Let us solve the equation for 'a'
[tex]-F = m+2a[/tex]
Flip the equation
[tex]2a+m=-f[/tex]
Add -m to both sides
[tex]2a+m+(-m)=-f+(-m)[/tex]
[tex]2a = -f - m[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\:\:\frac{-f\:-\:m}{2}[/tex]
[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]
Therefore, the value of 'a' will be:
[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]
this app is bad its s lie
Need help please I would really appreciate it
Answer:
The slope of line is 9
Step-by-step explanation:
We can use two pairs of input-output from the table to find the slope of the given line. Here x is input and y is output.
Slope is defined as the steepness of a line and is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Selected pairs from table are:
(-1,-18) and (0,-9)
Here
[tex]x_1 = -1\\x_2 = 0\\y_1 = -18\\y_2 = -9[/tex]
Putting the values in the formula
[tex]m = \frac{-9-(-18)}{0-(-1)}\\=\frac{-9+18}{0+1}\\= 9[/tex]
Hence,
The slope of line is 9
What is the true answer?
Answer:
What is that stuff
Step-by-step explanation:
It is C i think?
Answer:
first and last one
Step-by-step explanation:
I need help please!:D
Answer:
176 R. 5
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
176r5 first
what is the coordinates of the point where y-4x=1 crosses the y-axis
Answer:
(0, 1)
Step-by-step explanation:
you have to put the equation in the slope point form
y=mx+b and here b is the y-intercept (where it crosses the y axis)
y-4x=1 add 4x to both sides
y=4x+1 so the coordinats are (x=0, y=1)
please can someone help me!! :(
Answer:
G
Step-by-step explanation:
Distribute the -7 to 4x and -5
Answer:
Hey!
The answer is
-7x (4x - 5)When you multiply them you get
[tex]-28x^{2} + 35[/tex]
So, Option G is the right answer!Answer all of these
18% of 34
27% of 81
85% of 74
54% of 90
33% of 360
TOPIC
62% of 75
4% of 56
6% of 140
© 12% of 625
5% of 134
Finding a Percent of a
90% of 44
9% of 17
48% of 20
70% of 69
2% of 800
Some doctors recommend that no more than 30% of a
person's daily calones come from fats. Following this
recommendation. If you eat 2,400 calones in a day, what
is the maximum number that should come from fats?
When training for a fight Rocky tries to maintain a heart
rate that is 80% of his maximum heart rate, Rocky has a
resting heart rate of 60 and a maximum heart rate of
175 beats per minute. What is his training heart rate?
mbe
Answer:
18% of 34 = 6.1227% of 81 = 21.8785% of 74 = 62.954% of 90 = 48.633% of 360 = 118.862% of 75 = 46.54% of 56 = 2.246% of 140 = 8.412% of 625 = 755% of 134 = 6.790% of 44 = 39.69% of 17 = 1.5348% of 20 = 9.670% of 69 = 48.32% of 800 = 16-------------------------------------
30% of 2400 = 720 calories--------------------------------------
80% of 175 = 140 beats per minuteI need help.........
Answer:
number 1
Step-by-step explanation:
Help please stat! Brainlist!
Answer: 11.71 meters per second.
PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)
Step-by-step explanation:
can u pls help me with this question
In how many zeros does 75! end?
How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths
C. INTO SIXTHS
I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT
I HOPE I WASNT TOO LATE. IF I WAS, SORRY
The number of grids or intervals on the given number line between any two consecutive whole numbers is six thus option (C) is correct.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
As per the given number line,
Since 1 is a whole number and 2 is also a whole number.
The number of intervals between 1 and 2 is 6.
Thus, between consecutive whole numbers divided on the number line is 6.
Hence "The number of grids or intervals on the given number line between any two consecutive whole numbers is six".
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I NEED HELP ASAP PLS
Answer:
2/3
Step-by-step explanation:
to move from one point to another (from left to right) you move up two and to the right 3
Answer:
The slope is 2/3
Step-by-step explanation:
The line goes up 2 points and to the right 3 points so if you do rise/run you get 2/3 as the slope.
When multiplying, the answer is negative when you:
A: multiply a positive (+) times a negative (-)
B: multiply a negative (-) times a negative (-)
C: multiply a positive (+) times a positive (+)
Step-by-step explanation:
b: multiplying a negative (-) by a negative (-)