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dlinn [17]
3 years ago
13

ASAP

Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0

9514 1404 393

Answer:

  4.31

Step-by-step explanation:

The distance from point (x, y) to line ax +by +c = 0 is given by the formula ...

  d = |ax +by +c|/√(a² +b²)

Putting the equation of the line into the required form, we have ...

  5x +y +3 = 0

So, the distance from point (4, -1) to the line is ...

  d = |5(4) +(-1) +3|/√(5² +1²) = 22/√26

  d ≈ 4.31

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Schaum earns (x4 + 16x) every month. His wife earns (3x4 + 11x) every
damaskus [11]

Given:

Schaum's earnings in a month = x^4+16x

His wife's earnings in a month = 3x^4+11x

Where x is the number of working days in a month.

To find:

The total earnings in a month.

Solution:

We know that,

Total earnings = Schaum earnings + His wife's earnings in a month

                       =x^4+16x+3x^4+11x

                       =(x^4+3x^4)+(16x+11x)

                       =4x^4+27x

Therefore, the correct option is A.

7 0
3 years ago
Use the following recipe to answer questions 1 through 4:
grandymaker [24]

Answer:

1. pounds (lb)

2. pints (pt)

3. teaspoon (tsp)

4. cups (c)

Step-by-step explanation:

<h3><u>US Standard Units</u></h3>

<u>Liquid</u>

  • Fluid Ounces (fl oz)
  • Cups (c)
  • Pints (pt)
  • Quarts (qt)
  • Gallons (gal)

128 fl oz = 16 cups = 8 pints = 4 quarts = 1 gallon

<u>Mass</u>

  • Ounces (oz)
  • Pounds (lb)
  • Tons (short ton)

32000 ounces = 2000 pounds = 1 ton

<h3><u>Solutions</u></h3>

1.  The best US standard unit in which to measure pumpkin with a mass of 1.2 kg would be pounds (lb).

⇒ 1 kg ≈ 2.205 lb

⇒ 1.2 kg ≈ 1.2 × 2.205 = 2.65 lb

2. The best US standard unit in which to measure stock with a volume of 1.5 L would be pints (pt).

⇒ 1 L ≈ 2.133 pt

⇒ 1.5 L ≈ 1.5 × 2.113 = 3.17 pt

3. The best US standard unit in which to measure sugar of 5 mL would be teaspoon (tsp).

⇒ 5 mL = 5 g ≈ 1 teaspoon

4.  The best US standard unit in which to measure yogurt with a volume of 0.25 L would be cups (c).

⇒ 1 L ≈ 4.167 c

⇒ 0.25 L ≈ 0.25 × 4.167 =  1.04 c

5 0
1 year ago
Read 2 more answers
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Pavlova-9 [17]
Y=-9x+5 is your answer
5 0
3 years ago
Y= f(x)= 49^x<br> Find f(x) when x= 1/2
OLga [1]

Replace x with 1/2 and solve.

49^1/2 = sqrt(49) = 7

5 0
3 years ago
the temperature fell 10 degrees fahrenheit from 48 degrees to 38 degrees in 12 hrs. how much would the temperature fall over 18
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The tempature would fall 15 degrees 10÷12=x x×18= your answer
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