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zysi [14]
3 years ago
15

6 is less than a number k is greater than 13

Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

6 < k > 13

Step-by-step explanation:

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She can make 75 cakes with 15 cups of flour
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4-2(x+7)=3(x+5) using the equation solver
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Step-by-step explanation:

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4x -y -16 = 0 in slope intercept form
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When a circular plate is heated in an oven, its radius increases at the rate of 0.01 cm/min. At what rate is the plate’s area in
m_a_m_a [10]

Answer:

3.14 cm²/min

Step-by-step explanation:

rate of increasing of radius, dr/dt = 0.01 cm/min

r = 50 cm

Area of plate, A = πr²

rate of increase of area

dA/dt = 2πr dr/dt

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dA/dt = 3.14 cm²/min

Thus, the increase of rate of area is 3.14 cm²/min.

7 0
3 years ago
X-3 and 2x-1 are factors of 2x^3-px^2-2qx+q. Find the values of p and q.
Nonamiya [84]

Answer:

p =1

q = 9

Step-by-step explanation:

f(x) = 2x³ - px² + 2qx + q

(x - 3) is a factor of f(x)

⇒f(3)  = 0

2(3)³ - p*3² - 2q*3 +q = 0

2*27 - 9p - 6q + q = 0

    54 - 9p - 5q = 0

            -9p - 5q = -54 -------------------(I)

(2x - 1) is a factor of f(x)

2x - 1 = 0

      2x = 1

        \st x = \dfrac{1}{2}

f(1/2) = 0

2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\

1 - p = 0

    -p = -1

p = 1

Substitute p =1 in equation (I)

-9*1 - 5q = -54

 -9 - 5q = -54

      -5q = -54 + 9

      -5q = -45

           q = -45/(-5)

q = 9

8 0
2 years ago
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