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2 years ago

The tension t in a spring varies directly with the distance d the spring is stretched. If the

Mathematics

1 answer:

yarga [219]2 years ago

7 0

Answer:

t = 21d

Step-by-step explanation:

Here tension and distance are denoted t by d and respectively. Since t varies directly with d , then the relation between t and d is k=td Given that, for the tension 42 pounds, the spring is stretched 2 inches. Substituting t = 42 and d= 2 into t = kd find the value of k . Therefore,

42= K (2)

$K=\frac{42}{2}$

K= 21

Thus the relationship is t = 21d

(Hope this helps can I pls have brainlist (crown)☺️)

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Use quadratic regression to find

Rashid [163]

The quadratic equation is given by:

y = 3x² + 10x - 8

The standard equation of a parabola is given by:

y = ax² + bx + c

Where a, b, c are constants

At point (4, 80):

80 = a(4)² + b(4) + c

16a + 4b + c = 80 (1)

At point (-3, -11):

-11 = a(-3)² + b(-3) + c

9a - 3b + c = -11 (2)

At point (-1, -15):

-15 = a(-1)² + b(-1) + c

a - b + c = -15 (3)

Solving equations 1, 2 and 3 simultaneously gives:

a = 3, b = 10, c = -8

Therefore the quadratic equation becomes:

y = 3x² + 10x - 8

Find out more on quadratic equation at: brainly.com/question/1214333

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1 year ago

Witch number is between 1/2 and 8/9

iris [78.8K]

It could be any fraction from 5/9 to 7/9.

3 0

2 years ago

Read 2 more answers

Graph. *8th grade math* (QUIZ)

Troyanec [42]

Answer:

Hope this helps

7 0

2 years ago

1. There are 10 people in a math club. Three people will be chosen for the Pi Day committee. How many different ways can club me

kaheart [24]

Answer: 120

Step-by-step explanation:

From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.

The number of different ways that the club members can structure the committee goes thus:

This can be solved by:

nCr = n! / r! (n - r)!

where n = 10

r = 3

= n! / r! (n - r)!

= 10! / 3! (10 - 3)!

= (10 × 9 × 8) / (3 × 2)

=120

3 0

2 years ago

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of

lora16 [44]

Answer:

The dimension of the sandbox is (2x+1) by (x - 3)

Step-by-step explanation:

It seems the complete question will be:

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.

Step-by-step explanation:

From the question, the given expression is 2X^2-5x-3. This can be rewritten as

$2x^{2} -5x-3$

If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.

Factorizing the expression $2x^{2} -5x-3$ , we get

$2x^{2} -6x+x-3$

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

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

Hence, the dimension of the sandbox is (2x+1) by (x - 3)

6 0

2 years ago