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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A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3
B= 348.3 cm3
C= 673.8 cm3
D= 2926.1 cm3
Answer:
Option D: 2926.1 cm³
Step-by-step explanation:
Dimensions of the cylidrincal soup can are given as;
Radius; r = 8.4 cm
height; h = 13.2 cm
Formula for area of cylinder is;
A = πr²h
Plugging in the relevant values gives;
A = π × 8.4² × 13.2
A = 2926.05 cm³
Approximating to the nearest tenth gives;
A = 2926.1 cm³
Player pays a fee, then reaches into a large jar and picks out a ball. The jar contains one ball for each letter of the alphabet. If the players picks out a ball with a vowel on it, the player wins 200 dollars. If the player picks out a ball with a consonant on it, the player wins nothing. What fee should be charged to play this game in order for it to be considered a fair game?
Answer:
€4.20
Step-by-step explanation:
the have a 5 in 26 chance in winning so 26(letters in alphabet) - 5(vowels) =21
21÷5 =4.2
4,0000000000×10,00000000
Answer:
yes 40
Step-by-step explanation:
she got it correct
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]
please help i will name brainiest
Answer:
Step-29 (86by-step explanation:
Simplify this expression
help fast please
Answer:
C i think
Step-by-step explanation:
g(x) = x^2 + 55
What is the minimum value of the given function?
Answer:
Step-by-step explanation:
55.
The solution is, the function doesn't have a minimum value.
What is derivative?A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.
here, we have,
given that,
the function is,
g(x) = x^2 + 55
now, we have to find the min. value of the function.
so, we have,
g(x) = x^2 + 55
the 1st order derivative is,
g'(x)= 2x
now, we have, critical point, at g'(x)= 0
i.e. at 2x = 0
or, x = 0
so, min. value is at x= 0 of g''(x),
i.e. g''(x) = 2
so, it doesn't have any minimum value.
Hence, The solution is, the function doesn't have a minimum value.
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Find x in the equation?
What is 39/20 written as decimal ?
Answer:
1.95
Step-by-step explanation:
Lee is making scarfs for a shelter. He purchased 11 skeins of yarns. Each skein has 660 feet of yarn. He needs 200 yards of yarn to make one scarf.
Answer:
Give me sum
Step-by-step explanation:
Answer:
Most scarves will use one to two skeins of yarn. According to the chart above, you will probably need about 300–650 yards, depending on the weight of yarn, the colors, the stitches, style, and length amongst other factors.
Step-by-step explanation:
7.) Caleb ran 240 yards. Which answer choices are equivalent to the distance
he ran?
A. 20 inches
B. 2,880 inches
C. 8,640 inches
D 80 feet
E 720 feet
Answer:
720 feet
Step-by-step explanation:
If you convert 240 yards to feet you get 720 feet. You're welcome! :)
MARKING BRAINLIEST
Find the angle measure
Answer:
42x - 9 = 35x + 12
42x - 35x = 12 + 9
7x = 21
x = 3
Answer:
Each angle = 117
Step-by-step explanation:
Parallel lines cut by a transversal have only 2 possible answers for each angle. The two answers are supplementary to each other. These two angles are obtuse (both of them) so they are equal.
42x - 9 = 35x + 12 Add 9 to both sides
42x = 35x + 12 + 9 Combine
42x = 35x + 21 Subtract 35x from both sides
42x - 35x = 21 Combine
7x = 21 Divide by 7
x = 21/7
x = 3
That's not the answer
42x - 9
42*3 - 9
126 - 9
117
a local libary has 2500 fiction books and 5000 nonfiction books what is the nonfiction to fiction ratio in the libary?
Answer:
Step-by-step explanation:
5000 nonfiction and 2500 fiction
ratio is 5000/2500=2
ratio is 2:1
2x+5=13
Help me out please
Answer:
4
Step-by-step explanation: 2x+5=13
-5 -5
2x=8
/2 /2
x=4
Answer:
X = 4
Step-by-step explanation:
Subract 5 from 5 and 13
Simplify: 2x = 8
divide both sides of the equation by the same term 2x/2 8/2
which gets you x = 4
Find the slope of the line in the given graph.
Answer:
option A, 3/4
Step-by-step explanation:
slope / gradient formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
use the 2 coordinates from the graph
i) (-2,3)
x1 = -2
y1 = 3
ii) (2,6)
x2 = 2
y2 = 6
[tex] \frac{y 2 - y1}{x2 - x1} [/tex]
[tex] \frac{6 - 3}{2 - ( - 2)} [/tex]
[tex] \frac{3}{2 + 2} [/tex]
[tex] \frac{3}{4} [/tex]
Which expression is equal to 1-12|- |-3|?
О-15
9
o 9
o 15
Answer:
15 i think 15 or 9 is the answer
Find the product: Negative StartFraction 4 over 9 EndFraction and Negative StartFraction 3 over 8 EndFraction
Negative StartFraction 1 over 9 EndFraction
Negative one-sixth
StartFraction 7 over 17 EndFraction
Answer:
c 1/6
Step-by-step explanation:
been there done that
Answer:
c
Step-by-step explanation:
i just did the test and got it right, hope this helps ^^
Annie's ant population doubles every week.
After 3 weeks of doubling, how many ants will she have if her colony
started with 50?
Answer:
400.
Step-by-step explanation:
50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.
Answer:
400
Step-by-step explanation:
just did the work
I need 1 more credit to pass my class!
Answer:
the answer is 3
Step-by-step explanation:
you piece of garbage im tryna help why u report me
need this done fast pls.
Answer:
45°Step-by-step explanation:
85 + 50 + ? = 180
? = 180 - 85 - 50
? = 45
failed my elementary statistics college class, 1st semester, can i retake the same class? or no
Answer:
I think you can
Step-by-step explanation:
Answer:
I think you can take it in the next semester
Step-by-step explanation:
plEASE HELP ME PEOPLE HUMPTH 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
Answer:
No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.
Example:
the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.
10 + 79 + 42 + 88 + 19 + 50 = 288
288 ÷ 6 = 48
Geoff earns $9.25 per hour before taxes, and he works 40 hours per week. Geoff's employer withholds (takes out) 10.65% of geoff's income for taxes. What are geoff's total weekly earnings after taxes are withheld?
A) $ 39.41
B) $59.90
C) $ 330.60
D) $ 370.00
Answer:
a
Step-by-step explanation:
Solve for the variable in the proportion below. Type the number only. Your answer should be a whole number.
2/4 =5/x
x =
Help me pleaseeeeeeeeeeeeeeeeee
Find the number of subset and number of proper subset from A=(5,6,7,8)
Step-by-step explanation:
The number of subsets=2ⁿ where n=4 members
2ⁿ=2⁴=16
Number of proper subsets=2ⁿ-1
16-1=15
If a+b/a-b=5/3, what are the following ratios? 2a-4b/a-2b
Answer:
Hope this may helps you
The value of ratios (2a - 4b) / (a - 2b) is,
⇒ 2
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The value is,
⇒ (a + b )/ (a-b) = 5/3
Now, We get;
⇒ a + b = 5
⇒ a - b = 3
Hence, By solving above equation,
a = 4
b = 1
Thus, The value of ratios (2a - 4b) / (a - 2b) is,
⇒ (2a - 4b) / (a - 2b)
⇒ (2 × 4 - 4 × 1) / (4 - 2 × 1)
⇒ (8 - 4) / (4 - 2)
⇒ 4 / 2
⇒ 2
Thus, The value of ratios (2a - 4b) / (a - 2b) is,
⇒ 2
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which transformation is happening in the image below
Answer:
a
Step-by-step explanation:
PLEASE HELP
John runs 8/10 mile everyday. How many miles does he run in 30 days?
Answer:
24 miles
Step-by-step explanation:
(8/10)30=24
(8x30)/10
240/10
24
Answer:
24
Step-by-step explanation:
8/10 = 4/5
(4/5) times 30
= 4 times 6
= 24
Which Theorem do you use to solve for D?
Answer:
D + 50 - 20 = 70
D = 70
Step-by-step explanation: