An electrician charges $75 for a house visit $50 an hour for service. What is the independent variable and what is the dependent variable

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°

Answer:

the answer is A

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

the two triangles are the basically the same

Answer:

22

Step-by-step explanation:

gcf 56, 120 = 8, 56/8=7, 120/8=15, 7+15=22. 22

Answer:

b = 15

Step-by-step explanation:

Assuming that the question is referring c as the hypothenuse, the Pythegorean theorem states: [tex]a^2+b^2=c^2[/tex].

Thus, [tex]b=\sqrt{c^2-a^2}=\sqrt{17^2-8^2}=15[/tex].

So b is 15.

Answer: b = 15

Step-by-step explanation:

Here, we need to know the formula for the relationship between the three sides of the right triangle: a² + b² = c².

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

Given

a = 8

c = 17

Solve

a² + b² = c²

(8)² + b² = (17)²

64 + b² = 289

b² = 225

b = √225

Hope this helps!! :)

Please let me know if you have any questions

Answer:

A: cow :milk bc it comes ot the cow like the egg comes out the chicken

Answer: 4950 cubic centimeters.

Step-by-step explanation:

We know that, the volume of box = Base area x height

Given: area of the base of a box  = 825 sq. centimeters

height = 6 centimeters.

Then, Volume of the box in cubic centimeters = 825 x 6

= 4950 cubic centimeters.

hence, the volume of the box in cubic centimeters = 4950 cubic centimeters.

Answer:

4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.

Answer:

x = -516

Step-by-step explanation:

(4 - 5x) + 43 = 3 - 32(-82)    {Multiply 32 and (-82)}

4 - 5x + 43 = 3  - (-2624)  

4 - 5x + 43 = 3 + 2624   {add 4 and 43 in LHS}

   -5x  + 47 = 2627      {Subtract 47 from both sides}

     -5x        = 2627 - 47

          -5x   = 2580         {Divide both sides by (-5)}

                x = 2580/(-5)

x = -516

Answer:

-39.65

Step-by-step explanation:

3 1/4 ⋅ (-12.2)

First, we must change the first fraction to a decimal.

3 1/4 = 3.25.

Now, we just multiply using standard algorithm.

3.25 ⋅ (-12.2) = -39.65.

Anytime you multiply a positive number by a negative number, the answer will ALWAYS be negative.

Answer:

6

Step-by-step explanation:

[tex]10^{2}[/tex]= 100

[tex]8^{2}[/tex]= 64

[tex]6^{2}[/tex]=36

100-64=36

b would be 36

Answer:

1.88

Step-by-step explanation:

A farmer sells 9.4 kilograms of pears and apples

4/5 of the total weight is pears while the rest is apple

Let x represent the number of apples

9.4= 4/5 ×9.4 + x

9.4 = 0.8×9.4+x

9.4 = 7.52+ x

9.4-7.52= x

1.88= x

x= 1.88

Answer:

Option P √2.5²-1.2²

Step-by-step explanation:

a = distance between Toby's House and the playground = 1.2 inches

b = distance between the playground and Toby's Friend's House = unknown

c = distance between Toby's House and Toby's Friend's House = 2.5 inches

Use the Pythagorean Theorem to calculate the side length of b:

a²+b²=c²

b²=c²-a²

b=√(c²-a²)

b=√(2.5²-1.2²)

Therefore, option P is correct.

Answer: it is p

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

Divide the 6 dollars by 4 times

$6/4 = $1.50

Answer:

$1,252.13 I believe  or $1,252

Step-by-step explanation:

Multiply the 1500 by .10 and you'll get 150

Now subtract that from 1500 that's 1350

.0725 multiplyed by 1350 is 97.875

Subtract that from 1350 and you'll get the answer!

Answer:

Gain = $666.67

Step-by-step explanation:

The businessman exchanged 660000 INR to US Dollar using the exchange rate of $1 = INR 110

Value of the money in dollars is;

(660000 × 1)/110 = $6000

Now, Nepali currency is reevaluated by 10%. This means it's value has gone up by 10%.

Thus, exchange rate of $1 is now;

110 - 10%(110) = INR 99

Thus, 660000 INR to US Dollar using this new exchange rate gives;

(660000 × 1)/99 = $6666.67

Therefore he made a gain.

Gain = 6666.67 - 6000

Gain = $666.67

Answer:

[tex]\sqrt{122}[/tex]

Step-by-step explanation:

Given that,

Vector n = 4i-j

Vector m = 3i+3j

We need to find the value of m+2n.

Put all the values,

m+2n = (3i+3j)+2(4i-j)

= (3i+3j)+8i-2j

=11i+j

Magnitude of vector,

[tex]|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}[/tex]

So the correct option is (c).

Answer:0

Step-by-step explanation:3b(-27 + 9b) = 0

(-27 * 3b + 9b * 3b) = 0

(-81b + 27b2) = 0

Answer:

[tex]b=3[/tex], or [tex]0[/tex]

Step-by-step explanation:

[tex]\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0[/tex]

[tex]b=0\quad \mathrm{or}\quad \:9b-27=0[/tex]

[tex]9b-27=0[/tex], [tex]\mathrm{Add\:}27\mathrm{\:to\:both\:sides}.[/tex]

[tex]9b-27+27=0+27[/tex]

[tex]9b=27[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]

[tex]\frac{9b}{9}=\frac{27}{9}[/tex]

[tex]b=3[/tex]

Answer:

Sine(45/53)

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

Answer:

178 in.

Step-by-step explanation:

14 5/6 times 12= 178 in.

Answer:

formula for diameter is π®

Step-by-step explanation:

π

=22/7×108

=

Answer:

Look at the image.

Step-by-step explanation:

Answer:

Not sure about the second one, but the first is x=44

Answer:

Step-by-step explanation: