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3 years ago

I need help with this not a test

Mathematics

1 answer:

ziro4ka [17]3 years ago

4 0

Answer:

15$

Step-by-step explanation:

small car is 5 times smaller so we have to multiply the prise of the small car by 5.

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If the expression x^{-\frac{3}{2}}y\sqrt{36xy^2}x − 2 3 y 36xy 2 is written in the form ax^by^cax b y c , then what is the p

Mekhanik [1.2K]

Answer:

-12

Step-by-step explanation:

The given expression is

$x^{-\frac{3}{2}}y\sqrt{36xy^2}$

We have to rewrite the given function in the form of

$ax^{b}y^c$ ....(i)

then we have to find the product of a,b and c.

The given expression can be rewritten as

$x^{-\frac{3}{2}}y\sqrt{36}\sqrt{x}\sqrt{y^2}$

Using properties of exponents we get

$x^{-\frac{3}{2}}y6x^{\frac{1}{2}}y$ $[\because \sqrt[n]{a}=a^{\frac{1}{n}}]$

$6x^{-\frac{3}{2}+\frac{1}{2}}y^{1+1}$ $[\because a^ma^n=a^{m+n}]$

$6x^{-1}y^{2}$ ...(ii)

On comparing (i) and (ii), we get

$a=6,b=-1,c=2$

Product of a,b and c is

$abc=(6)(-1)(2)=-12$

Therefore, the product of a,b, and c is -12.

7 0

4 years ago

the table shows data from a survey about the number times families are restaurants during the week as families are either from R

miv72 [106K]

Answer:

wait i just had this question the answer for me was The Rome data center is the mean and The New York data center is the median

Step-by-step explanation:

8 0

3 years ago

Help me with these please

olchik [2.2K]

Step-by-step explanation:

(1) y = x e^(x²)

Take derivative with respect to x:

dy/dx = x (e^(x²) 2x) + e^(x²)

dy/dx = 2x² e^(x²) + e^(x²)

dy/dx = (2x² + 1) e^(x²)

Take derivative with respect to x again:

d²y/dx² = (2x² + 1) (e^(x²) 2x) + (4x) e^(x²)

d²y/dx² = (4x³ + 2x) e^(x²) + 4x e^(x²)

d²y/dx² = (4x³ + 6x) e^(x²)

Substitute:

d²y/dx² − 2x dy/dx − 4y

= (4x³ + 6x) e^(x²) − 2x (2x² + 1) e^(x²) − 4x e^(x²)

= 4x³ + 6x − 2x (2x² + 1) − 4x

= 4x³ + 6x − 4x³ − 2x − 4x

= 0

(2) y = sin⁻¹(√x)

sin y = √x

sin²y = x

Take derivative with respect to x:

2 sin y cos y dy/dx = 1

sin(2y) dy/dx = 1

dy/dx = csc(2y)

Take derivative with respect to x again:

d²y/dx² = -csc(2y) cot(2y) 2 dy/dx

d²y/dx² = -2 csc²(2y) cot(2y)

Substitute:

2x (1 − x) d²y/dx² + (1 − 2x) dy/dx

= 2 sin²y (1 − sin²y) (-2 csc²(2y) cot(2y)) + (1 − 2 sin²y) csc(2y)

Use power reduction formula:

= (1 − cos(2y)) (1 − ½ (1 − cos(2y))) (-2 csc²(2y) cot(2y)) + (1 − (1 − cos(2y))) csc(2y)

= (1 − cos(2y)) (1 − ½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cos(2y) csc(2y)

= (1 − cos(2y)) (½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cot(2y)

= (cos(2y) − 1) (1 + cos(2y)) csc²(2y) cot(2y) + cot(2y)

= (cos²(2y) − 1) csc²(2y) cot(2y) + cot(2y)

= -sin²(2y) csc²(2y) cot(2y) + cot(2y)

= -cot(2y) + cot(2y)

= 0

8 0

3 years ago

Lizzy is working two jobs to make money for a new car. She works 15 hours a week and earns 93$. She makes 5$ for each hour she b

kirill115 [55]

She worked 9 hours at baby-sitting and 6 hours at her parents store.

Step-by-step explanation:

Let,

Baby-sitting hours = x

Hours at parents store = y

Total hours = 15

Amount earned = $93

According to given statement;

x+y=15 Eqn 1

5x+8y=93 Eqn 2

Multiplying Eqn 1 by 5;

$5(x+y=15)\\5x+5y=75\ \ \ Eqn 3\\$

Subtracting Eqn 3 from Eqn 2;

$(5x+8y)-(5x+5y)=93-75\\5x+8y-5x-5y=18\\3y=18$

Dividing both sides by 3;

$\frac{3y}{3}=\frac{18}{3}\\y=6$

Putting y=6 in Eqn 1

$x+6=15\\x=15-6\\x=9$

She worked 9 hours at baby-sitting and 6 hours at her parents store.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

What is the area of this parallelogram?

Alenkasestr [34]

Answer:

The answer is 28, because 7x4=28

Hope this helps ;)

6 0

3 years ago

Read 2 more answers