Ask question

Ask question

All categories

Free_Kalibri [48]

2 years ago

14

Nadia needs 3/4 cups of orange juice for punch recipe she will double the recipe to make punch for a party which statement below

is true

1 answer:

vaieri [72.5K]2 years ago

7 0

2 * 3/4 = 6/4 or 1 1/2 cups. or 1.5 cups. That's what I can do without the choices.

You might be interested in

A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk

Tcecarenko [31]

Answer:

T(x) = (√(4+x^2))/2 +(c -x)/4
(a) x = 1.155 miles
(b) x = 1/2 mile

Step-by-step explanation:

The straight line distance from the starting point to the point x on the road is given by the Pythagorean theorem:

d1 = √(2²+x²)

The time required to walk that distance in the woods (at 2 miles per hour) is ...

time = distance / speed

t1 = √(4+x²)/2

The remaining distance along the road to the car is ...

d2 = c - x . . . . . for c > x

and the corresponding time at 4 mph is ...

t2 = (c -x)/4

Then the total time is ...

T(x) = t1 +t2

T(x) = √(4+x²)/2 +(c -x)/4

__

(a) The value of x that minimizes total time is the one that makes the derivative zero.

T'(x) = x/(2√(4+x²)) -1/4

0 = (2x -√(4+x²))/(4√(4+x²))

√(4+x²) = 2x . . . . . fraction is zero when numerator is zero; add radical

4 +x² = 4x² . . . . . . square both sides

4/3 = x² . . . . . . . . . subtract x², divide by 3

x = (2/3)√3 ≈ 1.1547

If c = 9 miles, x = 1.1547 miles.

__

(b) For c < (2/3)√3, the shortest travel time will be along the straight-line path to the car.

If c = 1/2 mile, x = 1/2 mile.

8 0

2 years ago

Select all of the answers below that are equivalent to T = {Tinkey-Winky, Laa-Laa,

stepan [7]

Answer:

{thermometer, fridge, rusty nail, deoderant}
{credit card, face wash, tweezers, shovel}
{clothes, glass, car, greeting card}

Step-by-step explanation:

The options that will be equivalent to T will have to be the options that have the same Cardinality as T. Cardinality refers to the number of elements in a set and in the set T, there are 4 elements being Tinkey-Winky, Laa-Laa, Dipsy, Po so the Cardinality is 4.

The equivalent sets would therefore be sets with a cardinality of 4 as well and those are;

{thermometer, fridge, rusty nail, deoderant}
{credit card, face wash, tweezers, shovel}
{clothes, glass, car, greeting card}

3 0

2 years ago

The quality control team of a company checked 800 digital cameras for defects. The team found that 20 cameras had lens defects,

dmitriy555 [2]

Answer:

0.025

Step-by-step explanation:

-This is a conditional probability problem.

-Let L denote lens defect and C charging defect.

#We first calculate the probability of a camera having a lens defect;

$P(lens)=\frac{Lens}{Total}\\\\=\frac{20}{800}\\\\=0.025$

#Calculate the probability of a camera having a charging defect:

$P(Charging)=\frac{Charging}{Total}\\\\=\frac{25}{800}\\\\=0.03125$

The the probability that a camera has a lens defect given that it has a charging defect is calculated as:

$P(L|C)=\frac{P(C)P(L)}{P(C)}\\\\=\frac{0.025\times 0.03125}{0.03125}\\\\=0.025$

Hence, the probability that a camera has a lens defect given that it has a charging defect is 0.025

6 0

2 years ago

A rectangular prism has a square base with side length 5 centimeter and a height of 7 centimeters what is the volume of the pris

kiruha [24]

Answer:

175 cm³

Step-by-step explanation:

the volume( V) of a rectangular prism is

V = area of base × height = 5² × 7 = 25 × 7 = 175 cm³

8 0

2 years ago

Find the first partial derivative:<br><br> f(x, y) = y^5 -3xy

Romashka-Z-Leto [24]

Partial derivative is derivative over only 1 variable.
here we have 2 variables so it depends on which variable you want to make partial derivative.

case 1.
df/dx = -3y

case 2
df/dy = 5y^4 - 3x

8 0

2 years ago