Answers
Answer:
1/ 3^6
Step-by-step explanation:
We know that a^b / a^c = a^(b-c)
3^-7 / 3^-1 = 3^(-7 - -1) = 3^(-7+1) = 3^(-6)
We know that a^ -b = 1/ a^b
3^-6 = 1/ 3^6
Related Questions
between which 2 square roots does 7 lie
6,7
23,30
32,43
45,60
Answers
Answer:
32, 43
Step-by-step explanation:
Your welcome! :)
Answer:
The answer is 45,60.
Step-by-step explanation:
We can use a square chart to answer this question.
I will zoom in to the particular ones we need.
[tex] {6}^{2} = 36[/tex]
[tex]{7}^{2} = 49[/tex]
[tex] {8}^{2} = 64[/tex]
7 is the square root of 49.
45 lies in between 36 and 49 so its square root is more than 6 but less than 7. It is around 6.708 to the nearest thousandth.
Meanwhile, 60 lies in between 49 and 64 so its square root is more than 7 but less than 8. It is around 7.746 to the nearest thousandth.
Hence, we can say that 7 lies in between the square root of 45 and the square root of 60.
Suppose the population of a small town is 567 in 2011. The population DECREASES at a
rate of 5% every year. What will be the population of the town in 2021? Round your answer
to the nearest whole number.
Answers
Answer:
2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer
Answer:
339
Step-by-step explanation:
a = 567 (.95)¹⁰
a = 339.4838445482
Rounded
339
if the angle of elevation of the sun is 40 degrees, and is decreasing 1/3 radians/hour how fast is the shadow of a 35m tall pole lengthening?
Answers
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr}[/tex]
Step-by-step explanation:
Let y = height of the pole = 35 m (constant)
x = length of the shadow
They are related as
[tex] \tan \theta = \frac{y}{x} [/tex]
or
[tex]x = \frac{y}{ \tan\theta } = y \cot \theta[/tex]
Taking the time derivative of the above expression and keeping in mind that y is constant, we get
[tex] \frac{dx}{dt} = y( - \csc^{2} \theta) \frac{d \theta}{dt} [/tex]
Before we plug in the numbers, let's convert the degree unit into radians:
[tex]40° \times ( \frac{\pi \: rad}{180°}) = \frac{2\pi}{9} \: radians[/tex]
Since the angle is decreasing, then d(theta)/dt is negative. Therefore, the rate at which the shadow is lengthening is
[tex] \frac{dx}{dt} = (35 \: m)( - \csc^{2} \frac{2\pi}{9} )( - \frac{1}{3} \frac{rad}{hr} )[/tex]
or
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr} [/tex]
What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2
Answers
Answer:
The answer is [tex]3^3\times 2^2[/tex].
Step-by-step explanation:
According to the rules of exponents
a^n = a x a x a x .... n times
So,
[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]
Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.
A. preserves length, angle measures and distance between points
B. preserves length and angle measures but not distance between points
C. is a transformation that changes the size of the figure
is a transformation with its image and pre-image not being congruent
Answers
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
translation (aka shifting)rotationreflectionAny of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
HELlLlLlPllLl is it
10
2
1
9
Answers
Answer:
2
Step-by-step explanation:
As you can see, In the list of Numbers there are TWO SETS of 8.5 (As shown, I circled the two) meaning you should put 2 "x's" over 8.5. If you need more of an explanation, please let me know.
If available please give me a Branliest. It would be much appreciated, and it would also help me answer more and more difficult questions! Good luck.
-MathHotdog •~•
A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
Answers
Answer:
3mm brainliest please
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
9mm times 1:3 of the rectangle is 245
When factored completely, which is a factor of 6x^3-12x^2-48x?
Answers
Answer: C
Step-by-step explanation:
The solution is Option A.
The value of the equation is 6x³ - 12x² - 48x is A = 6x ( x + 2 ) ( x - 4 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 6x³ - 12x² - 48x be equation (1)
On simplifying the equation , we get
Taking 6x as the common factor , we get
A = 6x ( x² - 2x - 8 )
On simplifying the equation , we get
A = 6x ( x + 2 ) ( x - 4 )
Therefore , the value of A is 6x ( x + 2 ) ( x - 4 )
Hence , the equation is 6x ( x + 2 ) ( x - 4 )
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A school has 833 students. Of those students, 463 play a sport (A), 52 are in the band (B), and 21 do both(AB). (C) represents neither.
Answers
Answer:
Im sorry but it is kind of confusing
Step-by-step explanation:
What is the perimeter of the parallelogram???
Answers
explanation: the easiest way is to separate one of the diagonals into a triangle and use the pythagorean theorem.
a^2 + b^2 = c^2
4^2 + 3^3 = c^2
16 + 9 = c^2
25 = c^2
5 = c
you now know that both of the diagonals have a length of 5.
by counting the units on the two straight, you know that their length is 6.
6 + 6 + 5 + 5 = 22
Factor the common factor out of each expression: 30+6k+18k^5
Answers
Can i plz get some help been stuck for while
What is the volume of the shape shown
Answers
Answer:
Yea sure its 102.5meters squared
g(x) = 3x -1. Find x such that g(x)= 20.
g(x)= 3x+1. Find x such that g(x)= 22.
g(x)= 2x-5. Find g(1/2) and g(a)=99.
g(x)=x+5/2. Find g(3), g(0), g(-3) and g(x)=0
Please solve this quickly. I need it right now. No silly answer will not be allowed.
Answers
Step-by-step explanation:
i. 3x-1=20
or, 3x= 21
x= 7
ii. 3x+1= 22
3x= 21
x= 7
iii. 2x-5=99
2x= 104
x=52
iv. g(3)= 3+5/2= 11/2
g(0)= 0+ 5/2=5/2
g(-3)= -3+5/2 = -1/2
x+5/2= 0
so, x= -5/2
Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?
The height does not lie on the base because it is perpendicular to the base.
The radius does not lie on the base because it contains the center of the base.
The diameter does not lie on the base because it contains a radius of the circle.
The base does not contain the height, the radius, or the diameter because it is a circle.
Answers
Answer:
A, or "The height does not lie on the base because it's perpendicular to the base."
Step-by-step explanation:
EDGE 2021
Option A is correct, the height does not lie on the base because it is perpendicular to the base.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone.
We have to find the Jalen’s error.
As we know that height does not lies on the base because it is perpendicular to the base.
The Jalens error is that height does not lie on the base because it is perpendicular to the base is a error statement.
Hence, option A is correct, the height does not lie on the base because it is perpendicular to the base.
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According to the graph, what is the factorization of x2 - 6x + 5?
A. (x + 5)(x+1)
B. (x - 5)(x+ 1)
C. (x - 5)(x - 1)
D. (x + 5)(x - 1)
Answers
The factorization of x2 - 6x + 5 is (x - 1)(x -5)
How to determine the factorization?From the graph, the zeros of the function are:
x = 1 and x = 5
Set the zeros to 0
x - 1 = 0 and x - 5 = 0
Multiply the zeros
(x - 1)(x -5) = 0
Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)
Read more about factorization at:
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Please help i'm struggling with this!
Answers
Answer:
second option is correct (for question no 20)
Step-by-step explanation:
coordinate points are:
(3,1) = (x1,y1)
(5,9) = (x2,y2)
slope (m) = y2-y1/x2-x1
=9-1/5-3
=8/2
=4
Now using slope intercept form
y=mx + b
y=4x + b
since the line passes through the point (3,1) it satisfies the equation
y=4x + b
1=4*3 + b
1-12 = b
-11 = b
substituting the value of b in equation
y=4x + b
y=4x +(-11)
y=4x - 11
Simplify each of the following by rationalizing the denominator.
please do answer my doubt
Answers
Answer:
(47+21√5)/2
Step-by-step explanation:
Given the expression
7+3√5/7-3√5
= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)
= 49+21√5+21√5+9(5)/[7(7)-9(5)]
= 49+42√5+45/49-45
= 94+42√5/4
= 2(47+21√5)/4
=(47+21√5)/2
Hence the required expression is (47+21√5)/2
QUESTION 2
Simplify the following
a5×a7
Answers
Answer:
[tex]a^{12}[/tex]
Step-by-step explanation:
Identity Used : [tex]a^x \times a^y = a^{x+ y}[/tex]
[tex]a^5 \times a^7 = a^{5 + 7} = a^{12}[/tex]
HELP! Which of the following statements would prove line l is parallel to line m?
Answers
Answer:
Non of these.
Step-by-step explanation:
Because each of the options before have ≈ instead of =, however, to prove 2 lines are parallel, some angles must be equal. Corresponding angles and alternate angles should be equal. exactly equal.I just want to make sure or is it b?
Answers
C.) It is a one to one function
A one to one function is a function in which the x and y values never repeat. Each value of x is different every time, and they never have the same values of y.
Who has the most blue sweets?
chris 1/2
sam 1/4
raj 3/4
jade 1/3
Answers
Answer:
raj
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Have a nice day
Is this right? ASAP PLS HURRY!
Answers
the value of each square root
Answers
Answer:
root 324=18
root 441=21
root 529=23
Step-by-step explanation:
root 324 = 18
root 441 = 21
root 524 = 23
The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.
Answers
Answer:
C = 4 pi ft
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
Solving for r
4 pi = pi r^2
Dividing each side by pi
4 = r^2
Taking the square root of each side
sqrt(4) = sqrt(r^2)
2 = r
Now we can find the circumference
C = 2 * pi *r
C = 2*pi*2
C = 4 pi ft
Which of the following correctly maps figure ABCD onto figure EFGH? Select two that apply.
Answers
Answer:
Option A
Step-by-step explanation:
From the graph attached,
Distance of point A of rectangle ABCD = 5 units
Distance of point E of rectangle EFGH = 5 units
Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.
Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.
Let's check by the rule of reflection,
Rule for the reflection of a point (x, y) across y-axis is given by,
(x, y) → (-x, y)
Following this rule,
A(-5, 5) → E(5, 5)
B(-3, 4) → F(3, 4)
C(-4, 1) → G(4, 1)
D(-6, 2) → H(6, 2)
Therefore, rule for the reflection is applicable in this question.
Option A will be the answer.
PLEASE HELP QUICK
graph and show work and i will give 30 points
Answers
4x-2y=-2
4x=2y-2
4x+2=2y
2x+1=y
If 3x - 4y = 15 and -2x + 3y = 10, then x - y = ?
Answers
Answer:
x - y = 25
Step-by-step explanation:
3x - 4y = 15
-2x + 3y = 10
Add the two equations together
3x - 4y = 15
-2x + 3y = 10
----------------------
x - y = 25
Answer:
[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]
>> 3x - 4y = 15
>> -2x + 3y = 10
Add the two equations together
>> 3x - 4y = 15
>> -2x + 3y = 10
----------------------
Hence, x - y = 25
A car can travel 76 miles on 4 gallons of gasoline. How far can it travel on 8
gallons?
Answers
Answer:
152 gallons
Step-by-step explanation:
76÷4=19
19x8=152
Answer:
152 miles
Step-by-step explanation:
76 x 2 = 152
Is each statement true for OA? Drag “true” or “false” below each statement
Answers
Answer:
true. true. false.
Step-by-step explanation: i’m in love with the shape of u. we push and pull like magnet whatever
the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length
Answers
V = l × b × h
480cm³ = L × 8 × 6
Make L the subject.
480 = L × 8 × 6
⁴⁸⁰/₈×₆ = L
10cm = L
Therefore length = 10cm
