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2 years ago

Use the dropdown to complete the following inequality.

Mathematics

1 answer:

bazaltina [42]2 years ago

6 0

Answer:

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

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Solve for y, show your steps<br><br><br>y = x(2y - 3)

Xelga [282]

Answer:

y= $\frac{-3x}{-2x+1}$

Step-by-step explanation:

3 0

3 years ago

At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

$d*sin(\theta) = m\lambda$

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle

At the first-order maximum (m=1) at 20.0 degrees we have:

$\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342$

Now, to produce a second-order maximum (m=2) the angle must be:

$sin(\theta) = \frac{\lambda}{d}*m$

$\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}$

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.

I hope it helps you!

6 0

3 years ago

The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p

andrew11 [14]

Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

Percentage of pure fruit juice in first type = 60%

Percentage of pure fruit juice in second type = 85%

Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

First type Second type

60% 85%

80%

------------------------------------------------------------------------

85-80 : 80-60

5% : 20%

1 : 4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of first type in mixture is given by

$\dfrac{1}{5}\times 160\\\\=32\ pints$

Number of pints of mixture of second type in mixture is given by

$\dfrac{4}{5}\times 160\\\\=4\times 32\\\\=128\ pints$

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

6 0

3 years ago

Find Interquartile Range AND Range.

pav-90 [236]

Answer:

IQR: 20

Range: 52

Step-by-step explanation:

IQR = 88 - 68 = 20

Range = 100 - 48 = 52

7 0

2 years ago

Read 2 more answers

Two kinds of fish can be found in a small tank that is 5 1/7 feet long. The blue fish is 2 /15 feet long and the orange fish is

Romashka [77]

17/30 feet
Explanation:
Blue fish: 2/15 feet long
Orange fish: 7/10 feet long

Subtract the orange fish’s length by the blue fish’s:
7/10 - 2/15
Find LCD- 30
Multiply both denominators of each fraction by a number that makes both 30 (whatever that number is multiply that also to both nunerators):
7 • 3 / 10 • 3 = 21/30
2 • 2 / 15 • 2 = 4/30

SUBTRACT:
21/30 - 4/30 = 17/30
FINAL ANSWER: the orange fish is 17/30 feet longer than the blue fish.

BRAINLIEST PLEASE! Have a nice day

7 0

3 years ago