Mathematics High School

please help:)I’m not good at math and need to get this done ASAP

Answers

Answer 1

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

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

aNoThEr qUeStiOn tO bRiNg mY gRaDeS Up // Ill mark brainliest :p

Answers

Answer:

12 in

Step-by-step explanation:

Use Pythagorean theorem

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

The fourth choice, bottom one. You have to use algebra to manipulate the equation.

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

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:

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

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

b) Find the values of b.
b2 = 256
b =

Answers

B=16,-16................

Answer:

128

Step-by-step explanation:

2*b = 256

1*b = 256 / 2 = 128

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

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°

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]

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

plz help I'll make brainlest

Answers

Answer:

Step-by-step explanation:

4 ^2+x^2=5^2

5^2-4^2=9

square root of 9=3

can you make line segment with a with a steepness of a zero

Answers

yes!
hope this helps!:)

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

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 Trapezoid

Learn more about Congruency:

https://brainly.com/question/18019780?referrer=searchResults

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.

daniel has $50 saved and makes $7.50 per hour working how much money would daniel have after working 10 hours

Answers

You would just move the 0 over from 7.5 then add that to 50 so 75+50 so 125

Daniel will make 75 dollars in 10 hours

need help please somebody

Answers

Answer:

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

most likely 30 15+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

(x + 3)^2-1=35

Create a list of steps

Answers

(X+3)^2-1=35
(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

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:

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

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