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Anastasy [175]
3 years ago
13

A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet awa

y from the player. The height y (in feet) of a second hockey puck is modeled by y=x(0.15−0.001x), where x is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.
Mathematics
2 answers:
Juliette [100K]3 years ago
7 0

Answer:

69

Step-by-step explanation:

55+14

kirill115 [55]3 years ago
7 0

Answer:

stop being stupid and calculate it it is 55+14=69 so it is 69 feet farther.

Step-by-step explanation:

Wake up

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The number of counties in state a and the number of counties in state b are consecutive even integers whose sum is 9090. if stat
Oliga [24]
Let x = state b , then x + 2 = state a

now: x + (x +2) = 9090 or 2x + 2 = 9090 Solving this equation:
2x + 2 = 9090 subtract 2 from both sides
2x = 9088 divide both sides by 2
x = 4544
that means x + 2 = 4546

so state a = 4546 and state b = 4544
4 0
3 years ago
How to differentiate ?
Bas_tet [7]

Use the power, product, and chain rules:

y = x^2 (3x-1)^3

• product rule

\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d(x^2)}{\mathrm dx}\times(3x-1)^3 + x^2\times\dfrac{\mathrm d(3x-1)^3}{\mathrm dx}

• power rule for the first term, and power/chain rules for the second term:

\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(x-1)^2\times\dfrac{\mathrm d(3x-1)}{\mathrm dx}

• power rule

\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(3x-1)^2\times3

Now simplify.

\dfrac{\mathrm dy}{\mathrm dx} = 2x(3x-1)^3 + 9x^2(3x-1)^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2 \times (2(3x-1) + 9x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2(15x-2)}

You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.

On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify

\ln(y) = \ln\left(x^2(3x-1)^3\right) \\\\ \ln(y) =  \ln\left(x^2\right) + \ln\left((3x-1)^3\right) \\\\ \ln(y) = 2\ln(x) + 3\ln(3x-1)

Differentiate both sides and you end up with the same derivative:

\dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac2x + \dfrac9{3x-1} \\\\ \dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \times x^2(3x-1)^3 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(15x-2)(3x-1)^2

7 0
3 years ago
Mr. Vazquez determines that the area of a bathroom in his house is 25 square feet less than 1/5 of the area of the living room.
kozerog [31]
Answer is 300 square feet

5 0
3 years ago
Translate into an algebraic expression: n−1 increased by 110%
lorasvet [3.4K]

Answer:

Part 1) The algebraic expression is equal to 1.10(n-1)  or 1.10n-1.10

Part 2) The algebraic expression is equal to \frac{1.10}{n}

Step-by-step explanation:

Part 1) we have (n-1) increased by 110%

110%=110/100=1.10

so

The algebraic expression of (n-1) increased by 110% is equal to multiply 1.10 by (n-1)

1.10(n-1)

Distributed

1.10n-1.10

Part 2) we have n^(-1) increased by 110%

110%=110/100=1.10

so

The algebraic expression of n^(-1) increased by 110% is equal to multiply 1.10 by n^(-1)

Remember that

n^{-1}=\frac{1}{n}

so

1.10(n^{-1})=1.10\frac{1}{n}=\frac{1.10}{n}

4 0
3 years ago
4)<br> At a store, pears cost $0.74 per<br> pound. How much will 3.5<br> pounds of pears cost?
erica [24]

Answer:

$2.59

Step-by-step explanation:

.74 per pound

pounds=3.5

.74x3.5=$2.59

3 0
3 years ago
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