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3 years ago

What is the solution to the following system of equations?

Mathematics

1 answer:

Alchen [17]3 years ago

3 0

Answer:

it has infinitely many solutions

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The length of a rectangular park is four timesfour times its width. The park is surrounded by a 33-foot-wide path. Let x denote

tiny-mole [99]

Answer:

A(x) = 4x^2 + 330x + 4356

Step-by-step explanation:

width of park: x

length of park: 4x

width + path width = x + 66

length + path width = 4x + 66

area = (x + 66)(4x + 66)

area = 4x^2 + 66x + 264x + 4356

area = 4x^2 + 330x + 4356

A(x) = 4x^2 + 330x + 4356

7 0

3 years ago

Calcula el volumen en metros cúbicos de una piscina que tiene 8 m de largo 2 m de ancho y 1.5 m de profundidad

Stella [2.4K]

Answer:

V = 24 m³

Step-by-step explanation:

The given question says that, 'Calculate the volume in cubic meters of a pool that is 8 m long, 2 m wide and 1.5 m deep'.

A pool is in the shape of a cubiod. The volume of the cuboid is given by :

V = lbh

Where

l is length, b is width and h is height

Put all the values,

V = 8 × 2 × 1.5

= 24 m³

So, the volume of the pool is equal to 24 m³.

7 0

3 years ago

The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th

makvit [3.9K]

Answer:

k = 0.2645

Step-by-step explanation:

Given model:

y = 4070 $e^{kt}$

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070 $e^{3k}$

$\frac{9000}{4070}$ = $e^{3k}$

$\frac{900}{407}$ = $e^{3k}$

Taking natural logarithm on both sides, we get:

$ln\frac{900}{407}$ = $ln(e^{3k})$

$ln\frac{900}{407}$ = 3k lne

lne=1

$ln \frac{900}{407}$ = 3k

or k = $\frac{1}{3}$ $ln\frac{900}{(407)}$

k = $\frac{1}{3}$ (0.7936)

k = 0.2645

7 0

3 years ago

What is the 24th term if the arithmetic sequence where a1 = 8 and a9 = 56

AnnyKZ [126]

Answer:

$a_{24} = 146$

Step-by-step explanation:

a1 = 8

a9 = 56

Using formula for finding nth term of arithmeric sequence

$a_{n} =a_{1} + (n-1)d$

We have to find 24th term, therefore n = 24

$a_{1}$ is the first term but we are missing d

d is the difference between the two consecutive terms, lets calculate it first

a9 = 56

Using the above given formula for finding d

put n = 9, a9= 56

$a_{9} =a_{1}+ (9-1)d$

56 = 8 + 8d

8d = 48

d = 6

Getting back to main part of finding 24th term

n = 24, d = 6, a1 = 8

put values in nth term formula

$a_{n} =a_{1}+ (n-1)d$

$a_{24} = 8 + (24-1)6$

$a_{24} = 8 + 138$

$a_{24} = 146$

5 0

4 years ago

4 2/9 as a decimal work shown

Xelga [282]

The Answer Is:4.222222

4 2/9 = 4 + 2/9

= 4/1 + 2/9

= (4/1 * 9/9) + 2/9

= 36/9 + 2/9

= 38/9

= 38 ÷ 9 = 4.222222

4 0

3 years ago