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vlada-n [284]
3 years ago
12

The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inche

s with 100 pounds attached, how far will it stretch with 90 pounds attached? round to the nearest tenth of an inch.
Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0
9/100 = x/90
Cross multiply to get 810 = 100x
Divide both sides by 100 to get x = 81 inches
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The number of customers in a grocery store is modeled by the function y -X? + 10x + 50, where y is
vova2212 [387]

Using the vertex of the quadratic function, it is found that:

a) The maximum number of customers in the store is at 12 P.M.

b) 75 customers are in the store at this time.

The number of customers in x hours after 7 AM is given by:

y = -x^2 + 10x + 50

Which is a quadratic equation with coefficients a = -1, b = 10, c = 50

Item a:

The maximum value, considering that a < 0, happens at:

x_v = -\frac{b}{2a}

Hence:

x_v = -\frac{10}{2(-1)} = 5

5 hours after 7 A.M, hence, the maximum number of customers in the store is at 12 P.M.

Item b:

The value is y(5), hence:

y(5) = -(5)^2 + 10(5) + 50 = 75

75 customers are in the store at this time.

A similar problem is given at brainly.com/question/24713268

7 0
2 years ago
List the numbers which are factors of both 60 and 96
Elden [556K]
The answer is 2. I hope this helped.
6 0
3 years ago
HELP PLEASEE i need it
Soloha48 [4]

Answer:

See explanation

Step-by-step explanation:

<u><em>1st photo:</em></u>

x = \sqrt{15}

\frac{x}{5} = \frac{3}{x}

x^{2} = 15

x = \sqrt{15}

<u><em>2nd photo:</em></u>

(a) GEH ~ FGH ~ FEG

<em>similar triangles, use similar corners in the right order</em>

(b) \frac{FE}{GE} = \frac{GE}{EH}   AND    \frac{FH}{GH} = \frac{GH}{HE}

<em>similar triangles, use similar sides in proportion</em>

<em />

<u><em>3rd photo:</em></u>

x = 4.5 or 4 1/2

\frac{x}{3} = \frac{3}{2}

<em>2x = 9</em>

<em>x = 4.5 or 4 1/2</em>

<em />

<u><em>4th photo:</em></u>

Length of string = 118.2 ft

<em>sin(40) = 76/x</em>

<em>x = 76/sin(40) = 118.2</em>

7 0
3 years ago
Find the equation of the line
kirill115 [55]

Answer:

Step-by-step explanation:

The line is passing through 2 points: (0,9 and (3,3)

slope=(9-3)/(0-3)=-2

equation is : y-9=-2(x-0) or y=-2x+9

8 0
2 years ago
Need help plsss ASAP
Phantasy [73]

Answer: I would choose option "c"

Step-by-step explanation:

5 0
3 years ago
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