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Kisachek [45]
2 years ago
11

Which expression is equivalent to startfraction 3 x superscript negative 6 baseline y superscript negative 3 baseline over 15 x

squared y superscript 10 baseline endfraction? assume x not-equals 0, y not-equals 0.
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline endFraction.

Given expression (3x)^-6*y^-3/ 15x^2*y^10

Lets simplify the equation:

= > (3x)^-6*y^-3/ 15x^2*y^10\\=1/5 x^-8*y^-13

Expression:

An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

Hence the correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction.

Learn more about Expression on:

brainly.com/question/1280754

#SPJ4

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In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati
Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

h=-16t^2+55t+4

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

40=-16t^2+55t+4

-16t^2+55t+4-40=0

-16t^2+55t-36=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+55t-36=0

so

a=-16\\b=55\\c=-36

substitute in the formula

x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}

x=\frac{-55\pm\sqrt{721}} {-32}

x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec

x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

3 0
3 years ago
Plz help<br>pre-algebra<br><br>18 – x = 12​
ASHA 777 [7]

Answer:

x = 6

Step-by-step explanation:

18 - x = 12

-18       -18

-x = -6

---   ---

-1    -1

x = 6

6 0
4 years ago
Read 2 more answers
Help with this question please?
tatuchka [14]

Answer:

  x^2/25 +y^2/9 = 1

Step-by-step explanation:

You can think of an ellipse as a circle with a different scale factor in the x-direction than in the y-direction. When either dimension is stretched by a factor of k, the corresponding variable (v) is replaced by (v/k).

Here, the unit circle

  x^2 +y^2 = 1

is stretched by a factor of 3 vertically (in the y-direction) and a factor of 5 horizontally (in the x-direction). That means we can replace x with (x/5) and  y with (y/3) in the above equation to get ...

  (x/5)^2 +(y/3)^2 = 1

Traditionally, the denominator is written as a number, not a square, so the equation would be ...

  x^2/25 +y^2/9 = 1

4 0
3 years ago
On traditional maps, Earth is represented in a flat plane, or by Euclidean geometry. However, a globe is a more accurate model t
vitfil [10]

Answer:

D. The geodesics connecting the North and South Poles intersect at both of the Poles

Step-by-step explanation:

7 0
4 years ago
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Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the ca
Masteriza [31]

The interest due on financing option is $307.50

What is interest on financing?

Interest on financing is the extra amount paid by the couple when their total payments are compared to the cash price of $6,230.

The total payments would be the 25% down payment plus the sum of the twelve monthly payments of $415 each

Down payment=cash price*25%

Down payment=$6230*25%

Down payment=$1,557.50

Total monthly payments=amount of each monthly payment*number of monthly payments

monthly payment=$415

number of monthly payments=12

Total monthly payments=$415*12

Total monthly payments=$4,980

Total payment under financing=Down payment +Total monthly payments

Total payment under financing=$1,557.50+$4,980

Total payment under financing=$6,537.50

Interest=$6,537.50-$6,230

Interest on financing=$307.50

Find out more on down payment on: brainly.com/question/1698287.

#SPJ1

Complete question:

Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415. How much interest did they pay due to financing?

3 0
2 years ago
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