Answers
we can first reciprocate both sides, note that z^-b = 1/z^b where z is real and cannot equal zero and b is real. So reciprocating just turns it into z^b, in this case, imagine z = (5^3 * 2^-6) and b = 2.
Note that reciprocal also means ‘to the power of -1’ and using exponent rules means (z^-b)^-1 = z^(-1*b*-1) = z^b
Therefore,
[(5^3 * 2^-6)^-2]^-1 = [2^w/c^x]^-1
z^b = c^x/2^w
(5^3 * 2^-6)^2 = c^x/2^w
using exponent rules, including reciprocation,
5^6*2^-12 = c^x/2^w
and again,
5^6/2^12 = c^x/2^w
now 5 and 2 are relatively prime (do not have any common factors); in fact, they are both distinct prime numbers, so they would not share any factors. This also means that the numerator is in its ‘prime factorised’ form, as well as the denominator. I am assuming we are looking for integer solutions.
Therefore, the solutions naturally come out.
c = 5
x = 6
w = 12
Related Questions
X over 25 equals 35 over 14 solve for the missing variable
Answers
Find the value of X - triangle measurments
Answers
Answer:
x=12
Step-by-step explanation:
Since the base angles are the same, SV and TV must be the same length
2x+6 = 3x-6
Subtract 2x from each side
2x+6-2x = 3x-6-2x
6 = x-6
Add 6 to each side
6+6 = x-6+6
12=x
[tex]\\ \sf\longmapsto 2x+6=3x-6[/tex]
[tex]\\ \sf\longmapsto 3x-2x=6+6[/tex]
[tex]\\ \sf\longmapsto (3-2)x=12[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
Write as a monomial in standard from. (-0.6m^3n^2)^3
Answers
Step-by-step explanation:
The answer is -0.216m^9n^6
The 9 N and the 6 are exponents
The given monomial in standard from as [tex]-0.216m^927n^6[/tex].
The given monomial is (-0.6m³3n²)³.
What is the monomial?Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial.
The given monomial can be solved as follows:
Using power law of exponent [tex](a^m)^n=a^{mn}[/tex], we get
(-0.6m³3n²)³
= [tex]-0.216m^927n^6[/tex]
Therefore, the given monomial in standard from as [tex]-0.216m^927n^6[/tex].
Learn more about the monomial here:
https://brainly.com/question/9183135.
#SPJ2
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOO SCAMS HFGK - ZMWR. Complete the statement below.
Answers
Answer:
angle f ≈ angle m
Answer:
∠F=∠M
Step-by-step explanation:
They are corresponding angles.
Hope this helps!
Wendy was riding her bike along a trail and travelled 63 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour. What was Wendy's unit rate for her bike ride? (Miles per Hour) Who was riding faster?
Answers
To find mph, you divide the distance by the time. 63 divided by 6 is 10.5, which is faster than 10.1
recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.
Answers
Answer:
5 cups of flour need to make two cakes
HELP D:
what is 43.2 divided by 16
show your work in partial quotient
Answers
Answer:
2.7
Step-by-step explanation:
The answer to the question is 2.7
do you think i can pass 7th grade with at least a B i have to make them 80%.
Answers
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
I passed 7th grade with a B
What is the length of BC?
Enter your answer in the box.
(Box) Units
Answers
Angle A and B are shown to be the same which means the 2 sides are the same. Using the 2 sides solve for x.
2x -24 = x-2
Add 24 to both sides
2x = x + 22
Subtract x from both sides:
X = 22
Bc = x , so BC = 22
1
A line passes through the point (10, 4) and has a slope of
1/2
Write an equation in slope-intercept form for this line.
Answers
Answer:
[tex]y=\frac{1}{2}x-1[/tex]
Step-by-step explanation:
To find the equation of the line you will use the slope-intercept formula [tex]y=mx+b[/tex]
[tex]slope=m=\frac{rise}{run}[/tex]
Find the answer for X
Answers
Answer:
17
Step-by-step explanation:
[tex]60+2x=94 \\ \\ 2x=34 \\ \\ x=17[/tex]
Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd
Answers
Answer:
whats
Step-by-step explanation:
[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]
Help asapppppppppp!!!!
Answers
Answer:
The answer is C
Step-by-step explanation:
25^2 = 625
20^2 = 400
625+400 = 1025
sqrt(1025) is the answer
The 5th term of an arithmetic sequence is 30, while the 13th term is 70
Answers
Answer:
a = 10
d = 5
Step-by-step explanation:
[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]
a + 4d = 30 ------------------(I)
[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]
a + 12d =70 -------------(II)
Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d
(I) a + 4d = 30
(II)*(-1) -a - 12d = -70 {Now add}
- 8d = - 40
Divide both sides by (-8)
d = -40/-8
d = 5
Plugin d = 5 in equation (I)
a + 4*5 = 30
a + 20 = 30
a = 30 - 20
a = 10
What is the complete factorization of the polynomial below?
x - x2 + x - 2
Answers
x^3 + 2x^2 + x + 2 = (x^2 + 1) (x + 2).
36 pictures for $ or 24 pictures for $5
Answers
Answer:
I think it is 24 cus it's more bigger and cooler and hotter and shorter and butter
$7.5
Step-by-step explanation:
24 pictures for $5
Multiply this by 2
48 pictures for $10
Then think about the number between 5 and 10
36 pictures for $7.5
Rachel has a $23,000 six year loan with APR of 7.25%
Answers
Answer:6,000 is the answer
Step-by-step explanation:
Please solve these.
You will get all of my points if you get all of them correct
Answers
Answer:
Step-by-step explanation:
1) Area of triangle= 1/2 x b x h
b = 7.6cm h= 3.4cm
Area= 1/2 x 7.6 x3.4 = 12.92cm²
2)Divide the shape into a triangle and a rectangle
Area of rectangle : l x b
L= 20cm, b= 7cm
= 20 x 7 = 140 cm²
Area of triangle =1/2 x b xh
B = 20cm, h= 16 - 7 = 9cm
1/2 x 20x 9= 90cm²
Total area = 140 + 90 = 230cm²
3) area of triangle = 1/2 x b x h
B = 12cm, h= 5cm
= 1/2 x 12 x 5 = 30cm²
4) area of triangle = 1/2 x b x h
B = 15cm, h= 8cm
= 1/2 x 15 x 8 = 60cm²
5) divide the shape into two rectangles; the lower and the upper
Area of rectangle= l x b
Upper rectangle, l= 10cm, b= 27 - 9 = 18cm
Area= 10 x 18= 180cm²
Lower rectangle, l= 24cm, b= 9cm
Area = 24 x 9= 216cm²
180 + 216 = 396cm²
there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds
Answers
Answer:
Step-by-step explanation:
The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.
HELP ME OUT PLEASE I RLLY NEED IT ASAP. ):
Answers
(a) Slope is rise over run, or change in y over change in x.
1 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{4 - -8}{-1 - -5} = \frac{4 + 8}{-1 +5}= \frac{12}{4} =\frac{12}{4}[/tex] )
2 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{1 - 7}{0 - 2} = \frac{-6}{- 2} =\frac{6}{2}[/tex] )
3 -> -1/3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-7 - -3}{6 - -6}= \frac{-7+3}{6+6}=\frac{-4}{12}=-\frac{1}{3}[/tex] )
(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.
1 & 2 -> Parallel
1 & 3 -> Perpendicular
2 & 3 -> Perpendicular
Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!
Have a nice day!
If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
Line 1: slope: 1
Line 2: slope: -3/2
Line 1 and line 2: neither
Line 3 slope: - 1/3
Line 1 and 3: neither
Line 2 and 3: neither
Step-by-step explanation:
Line 1: (-5,-8) and (-1,4)
Slope: (4 - - 8)/(-1 - - 5) = 12/4 = 3
Line 2: (2,7) and (0,10)
Slope: (10 -7)/(0 - 2) = 3/-2 = -3/2
Line 3. ((-6,-3) and (6,-7)
Slope: (-7 - - 3)/(6 - -6)= -4/12= -1/3
4.2 = c/-8.5 + 10.7
A. 55.25
B. -126.65
C. -55.25
D. 126.65
Answers
Answer: Number C
Step-by-step explanation:
Solve
1
Find common denominator
4
.
2
=
−
8
.
5
+
1
0
.
7
4.2=\frac{c}{-8.5}+10.7
4.2=−8.5c+10.7
4
.
2
=
2
−
1
7
+
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}
4.2=−172c+−17−17⋅10.7
2
Combine fractions with common denominator
4
.
2
=
2
−
1
7
+
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}
4.2=−172c+−17−17⋅10.7
4
.
2
=
2
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c-17 \cdot 10.7}{-17}
4.2=−172c−17⋅10.7
3
Multiply the numbers
4
.
2
=
2
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c{\color{#c92786}{-17}} \cdot {\color{#c92786}{10.7}}}{-17}
4.2=−172c−17⋅10.7
4
.
2
=
2
−
1
8
1
.
9
−
1
7
4.2=\frac{2c{\color{#c92786}{-181.9}}}{-17}
4.2=−172c−181.9
4
Multiply all terms by the same value to eliminate fraction denominators
4
.
2
=
2
−
1
8
1
.
9
−
1
7
4.2=\frac{2c-181.9}{-17}
4.2=−172c−181.9
−
1
7
⋅
4
.
2
=
−
1
7
⋅
2
−
1
8
1
.
9
−
1
7
-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}
−17⋅4.2=−17⋅−172c−181.9
5
Cancel multiplied terms that are in the denominator
−
1
7
⋅
4
.
2
=
−
1
7
⋅
2
−
1
8
1
.
9
−
1
7
-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}
−17⋅4.2=−17⋅−172c−181.9
−
1
7
⋅
4
.
2
=
2
−
1
8
1
.
9
-17 \cdot 4.2=2c-181.9
−17⋅4.2=2c−181.9
6
Multiply the numbers
−
1
7
⋅
4
.
2
=
2
−
1
8
1
.
9
{\color{#c92786}{-17}} \cdot {\color{#c92786}{4.2}}=2c-181.9
−17⋅4.2=2c−181.9
−
7
1
.
4
=
2
−
1
8
1
.
9
{\color{#c92786}{-71.4}}=2c-181.9
−71.4=2c−181.9
7
Add
1
8
1
.
9
181.9
181.9
to both sides of the equation
−
7
1
.
4
=
2
−
1
8
1
.
9
-71.4=2c-181.9
−71.4=2c−181.9
−
7
1
.
4
+
1
8
1
.
9
=
2
−
1
8
1
.
9
+
1
8
1
.
9
-71.4+{\color{#c92786}{181.9}}=2c-181.9+{\color{#c92786}{181.9}}
−71.4+181.9=2c−181.9+181.9
8
Simplify
Add the numbers
Add the numbers
1
1
0
.
5
=
2
110.5=2c
110.5=2c
9
Divide both sides of the equation by the same term
1
1
0
.
5
=
2
110.5=2c
110.5=2c
1
1
0
.
5
2
=
2
2
\frac{110.5}{{\color{#c92786}{2}}}=\frac{2c}{{\color{#c92786}{2}}}
2110.5=22c
10
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
=
55.25
Answer:
A.55.25
Step-by-step explanation:
4.2 = c/-8.5 + 10.7
4.2 - 10.7 = c/-8.5
-6.5 = c/-8.5
-6.5 . -8.5 = c
55.25 = c
HELP ME PLEASE!!!!!!!!
Answers
Answer: C
Step-by-step explanation: the key is to look at the relationships between the numbers. The y value increments by 5.5 or 5 respectively, which LOOKS like additive. However, it is actually multiplicitve, since the question is the relation between X and y, not the y values. From there you can simply test that 5x1=5, 5x2=10, etc, etc.
Slope of -7 includes point (3,p) and (2,2). What is the value of p?
Answers
Answer:
p = - 5
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~~
( 3 , p )
( 2 , 2 )
m = - 7
[tex]\frac{2-p}{2-3}[/tex] = - 7
2 - p = - 7 ( - 1 )
2 - p = 7
p = - 5
1. The table shows the number of pages a
student reads in various amounts of time.
2. The dou
rate at
Dollars
Time (h)
3
5
9
10
Pages
195
325
585
650
Hours
Tell whether the relationship is a proportional relationship. Ex
Answers
Answer:
Please post the chart
Step-by-step explanation:
1.
What is the sum of
4 |
22 (1 point)
+
+
3
011
o
어
IN IN NII am |
0
0 0
Answers
Answer:
B. One whole number one over two. 1½
What is the stimated difference of 31,523 - 23,589
Answers
Answer:
8000 (Estimated) and the real difference would be 7934
Step-by-step explanation:
An estimated difference would be 8000, we get this number by subtracting 23,000 from 31,000 to make the subtraction much faster. The real answer to this would be 7934 which is pretty close to 8000 which is the estimation
What is 7/8 divided by 2/8
Answers
Answer:
7/8 ÷ 2/8 = 3 1/2
Step-by-step explanation:
When we divide two fractions, such as 7/8 ÷ 2/8, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
The quotient obtained from the division of given fractions is 7/2.
Given that, 7/8 divided by 2/8.
Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.
Here, 7/8 ÷ 2/8
= 7/8 × 8/2
= 7/2
Therefore, the quotient obtained from the division of given fractions is 7/2.
Learn more about the division of fractions here:
brainly.com/question/17205173.
#SPJ6
PLZ HELP 500 POINTS AND BRAINIEST
PLZ SHOW WORK
Miguel's mother builds and sells houses. She wants to buy a piece of land on which to build several houses. There are two lots for sale. One is a rectangular plot that is 3/8 of a mile by 2/3 of a mile. The other square plot that is 2/5 of a mile.
Part A
Which lot should Miguel's mother buy if she wants the biggest lot?
Part B
If the land in the area sells for 750,000 a square mile, how much should she expect to pay?
Answers
Answer:
Square lot and 187500
Step-by-step explanation:
To find question number A, we can calculate the area of each lot. The square plot is:
2/5×2/5=4/25
The first one is
2/3×3/8=1/4
Then we can make both have the same denominator:
1/4=25/100, 4/25=16/100
That means that the square lot is bigger.
We know that the area is 1/4 square mile. So it's 1/4 of 750,000
That's
1/4×750000=187500
Hope that helps! :)
how do you add with a negative number?
Answers
123456789101112=123456789101112
Answers
Answer:
Ano po to?
hshshshshshshh
