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Gnom [1K]
2 years ago
13

MATH.QUESTION.HELP. BRAINILEST WILL BE GIVEN!!!

Mathematics
2 answers:
NikAS [45]2 years ago
6 0

Step-by-step explanation:

u r Correct so no need my answer .....

dedylja [7]2 years ago
3 0

Answer:

C.    2 \dfrac{1}{3}

Step-by-step explanation:

\dfrac{1}{3} \cdot 7 = \dfrac{1}{3} \cdot \dfrac{7}{1} = \dfrac{7}{3} = 2 \dfrac{1}{3}

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Robert is looking to buy a deep fryer. He has narrowed his search down to two models. The following table gives the details of t
Zinaida [17]
The total cost for the entire life span of the deep fryer  is computed below:
Brand P total cost =Purchase price + total electricity cost 
                                = $144+($0.49x8x12x6)
                                =$426.24
Brand Q total cost =(Purchase price x 3)+ total electricity cost
                                =( $37.5x3)+($0.75x 8x12x6)
                                =   $544.5
Difference = Brand Q-Brand P
                   =$544.5-$426.24
                   =$118.26
Robert will have to choose Brand P because it will be cheaper by $118.26 than Brand Q in their entire lifetime.
                     
5 0
3 years ago
Read 2 more answers
Make c the subject:<br> x=-b+(b²-4ac) divided by 2a<br><br> The brackets mean square root
kipiarov [429]
x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\&#10;2ax=-b+\sqrt{b^2-4ac}\\&#10;\sqrt{b^2-4ac}=2ax+b\\&#10;b^2-4ac=(2ax+b)^2\\&#10;-4ac=4a^2x^2+4abx+b^2-b^2\\&#10;-4ac=4a^2x^2+4abx\\&#10;c=-ax^2-bx
7 0
2 years ago
Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the inter
hoa [83]

Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

y = A sin(ωt + φ)

We know that ω = 4π.  We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

29 = A²

A = √29

The equation of the wave is therefore:

y = √29 sin(4π t + tan⁻¹(5/2))

The maximum negative position is -√29.  And half of that is -½√29.

-½√29 = √29 sin(4π t + tan⁻¹(5/2))

-½ = sin(4π t + tan⁻¹(5/2))

7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)

7 + 12k or 11 + 12k = 24t + 6 tan⁻¹(5/2) / π

t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.

t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24

t ≈ 0.20 or 0.36

5 0
3 years ago
The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base
mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

               (after multiplying both sides by 2)

          A = 273 = b^2 + 8b

                which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0
3 years ago
Factor the following quadratic equation; <br><img src="https://tex.z-dn.net/?f=12%20%7Bx%7D%5E%7B2%7D%20%20%2B%2022x%20-%2014" i
Bogdan [553]

Answer:

2(3x + 7)(2x - 1)

Step-by-step explanation:

You can see it a little easier if you take out a common factor of 2

2(6x^2 + 11x - 7)

The 6 leaves you with a lot of factors, the 7 does not. It only has 2 factors.

Let 6 factor into 2 and 3 and the 7 into 7 and 1

2(3x - 1 )(2x + 7)

Now remove the brackets.

2(6x^2 + 21x - 2x - 7) This obviously does not work but we'll combine like terms anyway.

2(6x^2 + 19x - 7)

So we'll try it again

2(3x + 7)(2x - 1)

2(6x^2 + 14x - 3x - 7)    Looks like we have it.

2(6x^2 + 11x - 7)

So the right factors are

2(3x + 7)(2x - 1)

5 0
3 years ago
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