Answer:
divide both sides by 3
givea you
x<= 7
prove that 5^(2n - 1) is divisible by 8
Your teacher must have made a typo somewhere. The expression 5^(2n-1) is not divisible by 8.
The expression 5^(2n-1) is composed of 2n-1 copies of "5" multiplied together. The key here is that 5 is the only unique prime factor of this number.
On the other hand, 8 = 2*2*2 = 2^3 showing that 2 is the only prime factor for this number. At this point, we can see that there's no way that 5^(2n-1) is divisible by 8. It all comes down to the clash of the primes 5 and 2 not matching up, and having nothing in common.
Let's consider a few concrete examples:
If n = 1, then 5^(2n-1) = 5^(2*1-1) = 5^1 = 5 which is not divisible by 8. The number 5/8 = 0.625 isn't an integer.If n = 2, then 5^(2n-1) = 5^(2*2-1) = 5^3 = 125 which is also not a multiple of 8. The number 125/8 = 15.625 isn't an integer.I'll let you try other natural numbers for n, and you'll find that [tex]\frac{5^{2n-1}}{8}[/tex] isn't an integer.
In the equation y= 2 + 7, what is the value of y when the value of x is 26?
Answer:
I think
the value of y will be -24
..... when the value of x is 26
Jason Typed he types of 1260 word paper  in 30 minutes. At that rate, how long would it take him to type a 2100 word paper?
Answer:
The Answer is 50 minutes! (Sorry if I'm Wrong)
Step-by-step explanation:
If you divide 1260 by 30, you will get 42. So, If you multiply 42 by 50, you will get 2100! Hope this helps and please mark me brainiest.
A piece of iron rod costs $60. If the rod was 2 meter shorter and each meter costs $1 more, the cost would remain unchanged. What is
the length ofthe rod?
Answer:
the length is $58
Step-by-step explanation:
Find the LCD of the fractions and enter them
4/8 and 4/6
Answer:
The LCD IS 6
Step-by-step explanation:
50 Points!! I'M CONFUSED SO PLEASE HELP
Answer:
x=5
Step-by-step explanation:
Only pay attention to one transversal at a time
two angles are congruent so
9x+12=13x-8
9x-13x=-8-12
-4x=-20
4x=20
x=5
write the equation which represents the following transformations
1. slide right by 5 and up by 3 then reflect over the x axis
2. a vertical stretch by a factor of 3 and translate down by 4 units
Answer:
1234588765
Step-by-step explanation:
The price of an item yesterday was $85. Today, the price rose to $136. Find the percentage increase
60%
Step-by-step explanation:
(136 - 85)/85 × 100%
= 51/85 × 100%
= 51/17 × 20%
= 3 × 20%
= 60%
What is the result of gaining 10 pound then losing 20
Answer:
-10 pounds or 10 pounds loss
Step-by-step explanation:
you subreact 10-20 and you get -10
solve the inequality. -1/3w ≤ -5
Answer:
[tex] \frac{ - 1}{3} w \leqslant - 5[/tex]
[tex]w \leqslant - 5 \div \frac{ - 1}{3} [/tex]
[tex]w \leqslant - 5 \times - 3[/tex]
[tex]w \leqslant 15[/tex]
guys pls help me!!!!!!!
Answer:
The answer is t = 17
Step-by-step explanation:
Sum of angles on a straight line = 180⁰
(2t -7) + 90 + 49= 180
(2t -7) +139 = 180⁰
2t -7) = 180 - 139
2t - 7 = 41
2t = 41 - 7
2t = 34
Divide both sides by 2
t = 17
A line segment has endpoints (0,4) and (5,6).
What are the coordinates of the midpoint?
A. (5/2, -5)
B.(0,6)
C. (3,9)
D. (5/2, 5)
Answer:
D.
Step-by-step explanation:
because if its 0.6 then the line segment of 0.4 divided by 5.6 is you're mom
Help would be really helpful !
write the log equation as an exponential equation. you do not need to solve for x.
After conversion into exponential equation :
[tex] {8}^{3x - 4} = 5x + 4[/tex]Which explains the number of decimal places in the product 0 . 42 × 3 . 8 × 10 . 51 ? A. The greatest number of decimal places in any of the factors is 1. So, the product will have 1 decimal place. B. The greatest number of decimal places in any of the factors is 2. So, the product will have 2 decimal places. C. There are a total of 4 decimal places in the factors. So, the product will have 4 decimal places. D. There are a total of 5 decimal places in the factors. So, the product will have 5 decimal places.
Answer:
D
Step-by-step explanation:
if you place the decimals ontop of each other like this
0.42
3.8
10.51
and count the numbers behind the decimal of each decimal which is
4, 2, 8, 3, 1
meaning that your decimal place would be 5 places to the left of your answer when you multiply
Answer:
D
Step-by-step explanation:
here are a total of 5 decimal places in the factors. So, the product will have 5 decimal places.
Which side is the hypotenuse of XYZ
Which of the following is the correct graph of the solution to the inequality -82 -5x + 2 > -38?
Answer:
8.4
Step-by-step explanation:
+82
-5x+2>44
-2
-5x>42
divde by +5
x=8.4
Simplify the expression, show all of your work:
18 : 2.3
5 - 2
Answer:
9
Step-by-step explanation:
Numerator:18 divided by 2=9 9 times 3= 27
Denominator:3
27/3=9
Please help. Subtract using the number line.
−3/5 − (−2/5)
Select the location on the number line to plot the difference.
Answer:
[tex]-\frac{1}{5}[/tex]
Step-by-step explanation:
→ Remember what 2 minuses make
plus
→ Rewrite the question
[tex]-\frac{3}{5} +\frac{2}{5}[/tex]
→ Solve
[tex]-\frac{1}{5}[/tex]
Answer:
Other persons brainliest
Step-by-step explanation:
Please solve the math problem... I will mark you brainliest
Answer: XYZ = HGJ by the ASA postulate
Rewrite the quadratic function from standard form to vertex form.
f(x)x^2+6x-5
Answer:
[tex]y = {(x + 3)}^{2} - 14[/tex]
Step-by-step explanation:
The original equation
[tex] f(x) = {x }^{2} + 6x - 5[/tex]
vertex form
[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]
solve for the x coordinate of the vertex, h
[tex]x = h = - \frac{b}{2a} = - \frac{6}{2(1)} = - \frac{6}{2} = - 3 \\ x = h = - 3[/tex]
substitute -3 back into the original equation to solve for y
[tex]y = { (- 3)}^{2} + 6( - 3) - 5 \\ y = 9 - 18 - 5 \\ y = 4 - 18 \\ y = k = - 14 [/tex]
substitute h and k values into the vertex form
a = 1 So we can omit it
[tex]y = {(x - ( - 3)}^{2} - 14 \\ y = {(x + 3)}^{2} - 14[/tex]
how to solve 125×-1=25×+3
Answer:
x=1/25
Step-by-step explanation:
Two friends live 15 miles apart. One day, they decide to jog and meet each other. Tanya leaves her house and heads east, jogging at a rate of 2.5 miles per hour. At the same time Kelly leaves her house and heads west, jogging at a rate of 3.5 miles per hour. How long does it take for the two to meet?
Answer:
1000
Step-by-step explanation:
Answer: 1000
Step-by-step explanation:
On Monday, 4 x 10 to the power of 2 people went to Fun World Amusement Park. On Tuesday, there were 3 x 10 to the power of 6 patrons at the amusement park. How many times larger was Tuesday's attendance than Monday's ?
The Monday and Tuesday attendance are illustrations of proportions.
Tuesday's attendance is larger than Monday's 7500
The given parameters are:
[tex]\mathbf{Monday = 4 \times 10^2}[/tex]
[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]
The number of times (n) the Tuesday attendance is larger than Monday's is:
[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]
So, we have:
[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]
[tex]\mathbf{n = 7500}[/tex]
Hence, Tuesday's attendance is larger than Monday's 7500
Read more about proportions at:
https://brainly.com/question/21126582
Two angles are supplementary if their sum is 180". The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find
the measure of each angle
Please help give the smaller and bigger angle measure
Answer:
Step-by-step explanation:
2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees
Let the smaller angle be x
The larger angle will be 3x+8
X+3x+8=180
4x=180-8=172
X=172/4
X=43
3*43+8= 137
Please help!! Will make brainliest!
Answer:
A
Step-by-step explanation:
I think its A.. correct me if im wrong
Answer:
B
Step-by-step explanation:
90-80*2-2
plz helpppppppppppppppppp
Answer:
18
Step-by-step explanation:
90-80=10
10*2=20
20-2=18
Answer:
90-80 x 2-2 = 0
Step-by-step explanation:
Firstly. subtract 80 from 90 to get 10.
90-80= 10
Then subtract 2 from 2, to get 0.
2-2=0
Lastly, for your answer multiply 10 by 0 to get 0.
10 x 0 = 0
, Hope this helps :)
Have a great day!!
What is the rate of change for the equation y = 2x + 100?
The rate of change is 2.
good luck :)
Find two consecutive odd integers such that
4 times the smaller integer is 19 less than 5
times the larger integer.
Answer:
9 and 11
Step-by-step explanation:
let the consecutive odd integers be n and n + 2 , then
4n = 5(n + 2) - 19 , that is
4n = 5n + 10 - 19 ( subtract 5n from both sides )
- n = - 9 ( multiply both sides by - 1 )
n = 9 and n + 2 = 9 + 2 = 11
The 2 integers are 9 and 11
Determine the constant of proportionality (k) represented in the graph below
Answer:
k = 2
Step-by-step explanation:
y = kx
4 = 2k
k = 2 (slope)