Answers
Answer:
First and third options are equivalent, second and fourth options are not equivalent.
Step-by-step explanation:
Remember the relation:
[tex]a^n*a^m = a^{n + m}[/tex]
and:
[tex](a^n)^m = a^{n*m}[/tex]
We have the expression:
[tex]7^{1/5}*49^{7/5}[/tex]
We know that 49 = 7*7
Then we can write the above relation as:
[tex]7^{1/5}*49^{7/5} = 7^{1/5}*(7^2)^{7/5}[/tex]
We can use the second relationship from the above ones and write this as:
[tex]7^{1/5}*(7^2)^{7/5} = 7^{1/5}*7^{2*7/5} = 7^{1/5}*7^{14/5}[/tex]
Now we can use the first relationship to get:
[tex]7^{1/5}*7^{14/5} = 7^{1/5 + 14/5} = 7^{15/5} = 7^3 = 343[/tex]
Then:
The first option is equivalent.
The second option is not equivalent
The third option is equivalent.
The fourth option is not equivalent.
Related Questions
Dinorah weighs 30.5 kg. Her dog weighs 6.1 kg. How many times as much does Dinorah weigh as her dog?
Answers
Answer:
5 times
Step-by-step explanation:
Given
[tex]D = 30.5kg[/tex] -- Dinorah's weight
[tex]d = 6.1kg[/tex] --- Her dog's weight
Required
Determine how much she weighs as much as her dog
To do this, we simply divide her weight by her dogs.
[tex]n = \frac{D}{d}[/tex]
[tex]n = \frac{30.5kg}{6.1kg}[/tex]
[tex]n = \frac{30.5}{6.1}[/tex]
[tex]n = 5[/tex]
On Monday in Minneapolis, Minnesota, it was 0 °F
outside.
On Tuesday, it was 15 degrees colder.
What was the temperature on Tuesday
Answers
Answer:
-15
Step-by-step explanation: the only numbers that can be used under a 0 is negative and since its colder it goes down -15+0 is -15
what is the inequality of 4x+9>17
Answers
Answer:
x > 2
Step-by-step explanation:
4x + 9 > 17
4x > 17 - 9
4x > 8
x > 2
Elaine had StartFraction 5 Over 8 EndFraction of a pizza left after lunch. She told 5 of her friends that they could share the rest. What fraction of the pizza did each of her friends get if they split it evenly?
A pizza with 8 slices. 5 slices are shaded.
Answers
Answer: 5/8 : 5=5/8*1/5=1/8
the answer is 1/8
Step-by-step explanation:
Consider the equation: x^2+10x+22=13
Need help asap!!!!
this is due in a hour!
Answers
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
Equilateral triangles are acute triangles. fill in the blank. A. Equilateral triangles are sometimes acute triangles, Always acute Triagles or never
Answers
Answer:
always acute angle.as each angle is 60°
(x + 3)^2-1=35
Create a list of steps
Answers
(X+3)^1=35
X+3=35
X=35-3
X=32
Answer:
Step-by-step explanation:
(X + 3) ( x + 3) is x^2 + 3x + 9
-1 is now 8
X^2 + 3x + 8 = 35
Subtract 8 from both sides so it now equals 27
Divide everything by 3 so its now
X^2 + x = 9 use quadratic formula and get x = -3.541 and 2.541
What number is 30% of 100
Answers
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
30*100=30000
30000/100=30
for educational purposes which is better vans or nike?
Answers
A car is 165 inches long. A truck is 65% longer than the car.
How long is the truck?
Answers
Answer:
262.25 inches
Step-by-step explanation:
65% of 165 is 107.25
107.25+165=272.25
so the truck is 262.25 inches long
Is this number prime or composite 70
Answers
70 is a composite number because it can be divided by numbers other than one and itself.
Answer:
70 is composite
Step-by-step explanation:
Its last digit is 0. That means it's 100% composite.
What is the final amount if 931 is decreased by 1% followed by a 1% increase?
Answers
Answer:
0.09
Step-by-step explanation:
Answer:
930.9069
Step-by-step explanation
I YOU GET THE ANSWER RIGHT i'll MARK YOU THE BRAINLIEST AND GIVE YOU ADDITIONAL POINTS
You are building a triangular corner shelf for a customer. The shelf has an area of 6 square feet. The height of the shelf is 3 feet. What formula can be used to calculate the length of the base of the shelf?
base = height ÷ area
base = (2 × height) ÷ area
base = area ÷ height
base = (2 × area) ÷ height
Answers
daniel has $50 saved and makes $7.50 per hour working how much money would daniel have after working 10 hours
Answers
b) Find the values of b.
b2 = 256
b =
Answers
Answer:
128
Step-by-step explanation:
2*b = 256
1*b = 256 / 2 = 128
HELPPP!!! Write the equation for the function on the right.
Answers
Answer:
It is moved 8 units left and 5 units down
y = [tex]\sqrt[3]{x+8}[/tex] - 5
So vertical translation 5 units down and horizontal translation 8 units left
As of 2019, the New York Yankees had won the World Series more than any other team in baseball. The difference of the number of World Series championships won by the Yankees and 2 times the number of World Series championships won by the second-most-winning team, the St. Louis Cardinals, is 5. The sum of the two teams' World Series championships is 38. a. Write a system of equations to find the number of World Series championships won by the Yankees, y, and the number of World Series championships won by the Cardinals, x.
Answers
Answer:
1) The system of equations are;
y - 2·x = 5
y + x = 38
2) y = 27 World Series championships
x = 11 World Series championships
Step-by-step explanation:
1) The number of World Series championships won by the Yankees = y
The second most-winning team = The St. Louis Cardinals
The number of World Series championships won by the St, Louis Cardinals = x
From the details of the number of World Series won by the Yankees and the St. Louis Cardinals we are given, we can write the following system of equations to find the number of World Series championships won by the Yankees, 'y', and the number of World Series championships won by the Cardinals, 'x' as follows;
y - 2·x = 5...(1)
y + x = 38...(2)
2) Making 'y' the subject of both equations gives;
For equation (1)
y = 5 + 2·x
For equation (2)
y = 38 - x
Equating both 'y' values gives;
y = 5 + 2·x = 38 - x
2·x + x = 38 - 5
3·x = 33
∴ x = 33/3 = 11
The number of World Series championships won by the St, Louis Cardinals, x = 11 World Series championships
From y = 38 - x, we have;
y = 38 - x
∴ y = 38 - 11 = 27
Therefore, the number of World Series championships won by the Yankees, y = 27 World Series championships
Mark, June & Henry share some money in the ratio 1:9:4.
In total, Mark and Henry receive £25.
How much does June get?
Answers
Which of the following quadrilaterals always have diagonals thats are congruent? check all that apply
Parallelogram
Rectangles
Rhombi
Squares
Isosceles trapezoid
Answers
Answer: Rectangles, Squares, Isosceles Trapezoid
The following quadrilaterals always have diagonals that are congruent :
RectanglesSquaresIsosceles TrapezoidLearn more about Congruency:
https://brainly.com/question/18019780?referrer=searchResults
x/5=5+x-9/3 what’s the solution? show work please
Answers
Answer:
x = - 15
Step-by-step explanation:
Given
[tex]\frac{x}{5}[/tex] = 5 + [tex]\frac{x-9}{3}[/tex]
Multiply through by 15 ( the LCM of 5 and 3 ) to clear the fractions
3x = 75 + 5(x - 9) ← distribute and simplify right side
3x = 75 + 5x - 45
3x = 5x + 30 ( subtract 5x from both sides )
- 2x = 30 ( divide both sides by - 2 )
x = - 15
As a check
substitute x = - 15 into the equation and if both sides are equal then it is the solution.
left side = [tex]\frac{-15}{5}[/tex] = - 3
right side = 5 + [tex]\frac{-15-9}{3}[/tex] = 5 + [tex]\frac{-24}{3}[/tex] = 5 - 8 = - 3
Thus x = - 15 is the solution
plz help I'll make brainlest
Answers
Answer:
3
Step-by-step explanation:
4 ^2+x^2=5^2
5^2-4^2=9
square root of 9=3
Expand and simplify
2(2y + 1) + 2(5y - 3)
Answers
Answer:
14y-4
Step-by-step explanation:
Distribute 2 to both the left and right side.
Combine like terms.
14y-4
this killing me pls help ♀️
Answers
Answer:
p=-2
Step-by-step explanation:
Start off by adding 3 to both sides:
-6p-3=9
+3 +3
Now you have this:
-6p=12
Now divide both sides by -6
-6p/-6=12/-6
p=-2
I hope this helps, and have a great day! <3 :)
Answer
-6p - 3 = 9
+ 3 + 3
-6p = 12
6 6
p = -2
Choose the correct simplification of the expression a^2 • a^3
Answers
Answer:
a^5
Step-by-step explanation:
add the exponents
Answer:
a5
Step-by-step explanation:
can you make line segment with a with a steepness of a zero
Answers
hope this helps!:)
What is the value of x- 4.5 when x = 0.4
Answers
Answer: -4.1
Step-by-step explanation:
0.4 - 4.5 = -4.1
need help please somebody
Answers
Answer:
Sorry I’m in a hurry but all you need to do is multiply all the numbers together.
Step-by-step explanation:
I did a problem like that i think
aNoThEr qUeStiOn tO bRiNg mY gRaDeS Up // Ill mark brainliest :p
Answers
Answer:
12 in
Step-by-step explanation:
Use Pythagorean theorem
You put $800 into an investment at 7% for three years. What will the balance be at the end of three
years?
Answers
Answer:
$980.03
Step-by-step explanation:
$800 x 0.07 = $56
($800 + $56) x 0.07 = $59.92
($856 + $59.92) x 0.07 = $64.11
$856 + $59.92 + $64.11 = $980.03
Match the expressions given in words with their values when d = 3.
2
1
4
3
0
the difference of 2 times d minus 3
arrowRight
4 added to the difference of d minus 3
arrowRight
the difference of d minus 3 divided by 2
arrowRight
the quotient of 12 divided by the
difference of 3 times d minus 3
arrowRight
Answers
Answer:
1. The difference of 2 times d minus = 3.
2. 4 added to the difference of d minus 3 = 4.
3. The difference of d minus 3 divided by 2 = 0.
4. The quotient of 12 divided by the
difference of 3 times d minus 3 = 2.
Step-by-step explanation:
Given that d = 3
1) 3 = The difference of 2 times d minus 3.
2*d - 3 =
2*3 - 3 =
6 - 3 = 3
2) 4 = 4 added to the difference of d minus 3.
4 + (d - 3) =
4 + (3 - 3) =
4 + 0 = 4
3) 0 = the difference of d minus 3 divided by 2.
(d - 3)/2 = (3 - 3)/2 = 0/2 = 0
4) 2 = the quotient of 12 divided by the
difference of 3 times d minus 3.
12/(3d - 3) =
12/(3*3 - 3) =
12/(9 - 3) =
12/6 = 2
Answer:
1. The difference of 2 times d minus = 3.2. 4 added to the difference of d minus 3 = 4.3. The difference of d minus 3 divided by 2 = 0.4. The quotient of 12 divided by thedifference of 3 times d minus 3 = 2
Step-by-step explanation:
