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2 years ago

6

Customers can pick their own berries at the Gooseberry Farm. They pay $4 to enter the farm and $1.50 per pound for the berries t

hey pick. Write an equation to model the total cost, y, for x pounds of berries

1 answer:

erma4kov [3.2K]2 years ago

8 0

Hi there!

$5.50=y

1 pound=x

4+1.50=5.50

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Show all work to multiply (6+square root -64)(3-square root -16)

Hunter-Best [27]

Answer:

50

Step-by-step explanation:

- 8i = √-64

8i + 6

- -4i = -√-16

-4i + 3

[8i + 6][-4i + 3] → FOIL

>> -32i² + [24i - 24i] + 18

↑ ↑

-1 0

>>> 32 + 18 = 50

Information on Imaginary Numbers

√-1 = i

-1 = i²

-i = i³

1 = i⁴ [And every other exponent that is a multiple of 4; this cycle then repeats itself every time you go up one number at a time]

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

7 0

2 years ago

Read 2 more answers

The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110.

ololo11 [35]

Μ = 500, population mean
σ = 110, population stadard deviation

The given table is
z 0.00 0.25 0.35 0.45 1.00 1.26 1.35 1.36
P 0.5000 0.5987 0.6368 0.6736 0.8413 0.8961 0.9115 0.9131

Range of random variable is X = [350, 550].

Calculate z-score for x = 350.
z = (350 - 500)/110 = -1.364
From the given tables,
The probability at x = 350 is
1 - 9131 = 0.0869

Calculate the z-score for x = 550.
z = (550 - 500)/110 = 0.454
From the given tables,
The probability at x = 550 is 0.6736

The probability that x =[350,550] is
0.6736 - 0.0869 = 0.5867

Answer: 0.5867 (or 58.7%)

4 0

2 years ago

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What is the completely factored form of f(x)=x3+5x2+4x−6?

Gre4nikov [31]

$f(x)=x^3+5x^2+4x-6$
$f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)$

Synthetic division yields

-3 | 1   5   4   -6
.    |      -3 -6    6
- - - - - - - - - - - - -
.    | 1   2 -2    0

which translates to

$\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2$

with remainder 0. Now by the quadratic formula,

$x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3$

and so

$f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))$

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2 years ago

The marching band walks 1/15 miles in 1.5 minutes. At this rate, how many minutes will it take to complete 1 mile? Record your a

ipn [44]

Answer:

It will take 22.5 minutes to complete 1 mile

Step-by-step explanation:

From the question,

The marching band walks 1/15 miles in 1.5 minutes

First we will determine the miles cover in 1 minute

If the marching band walks 1/15 miles in 1.5 minutes

then, they will cover $x$ miles in 1 minute

$x = \frac{1/15 * 1}{1.5}\\$

Then,

$x = \frac{1/15 }{1.5}$

$x = 2/45$ miles

∴ 2/45 miles are covered in 1 minute

Now,

If 2/45 miles are covered in 1 minute

Then, 1 mile will be covered in $y$ minute

$y = \frac{1 * 1}{2/45}$

$y =\frac{1}{2/45} \\y = \frac{45}{2}\\$

∴ $y = 22.5 minutes$

Hence, it will take 22.5 minutes to complete 1 mile

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2 years ago

A ball is drawn at random from a container that holds 8 yellow balls numbered 1 to 8, 6 orange balls numbered 1 to 6, and 10 gra

Margarita [4]

A)

total of balls = 8+6+10= 24 balls

3/24= .125 and it is 12.5 % that one of the orange balls is 5 because it is an odd number.

B)

4/24 =.167 0r 16.7% that of the gray balls is numbered 8.

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2 years ago