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Aliun [14]
3 years ago
9

Help me with this problem please

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0

Answer:

the constant rate of change is 20

Step-by-step explanation:

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A force of 60 N is used to stretch two springs that are initially the same length. Spring A has a spring constant of 4 N/m, and
goblinko [34]

Answer:

D:Spring A is 3 m longer than spring B because 15 – 12 = 3.

Step-by-step explanation:

In this question, you should remember the Hooke's Law in physics.

The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.

The mathematical expression for this law is

F=-kx

where;

F= force applied on the spring

x = the extension on the spring

k= the spring constant which varies in spring.

The question will need you to calculate the extension on the springs A and B then compare the values obtained.

<u>In spring A</u>

Force, F=60N and spring constant ,k=4 N/m

To find the extension x apply the expression;

F=-kx\\\\60=-4*x\\\\60=-4x\\\\\frac{60}{-4} =\frac{-4x}{-4} \\\\\\-15=x

Here the spring extension is 15 m

<u>In spring B</u>

Force, F=60N and spring constant , k=5N/m

To find the extension x apply the same expression

F=-kx\\\\60=-5*x\\\\60=-5x\\\\\\\frac{60}{-5} =\frac{-5x}{-5} \\\\\\-12=x

Here the extension on the spring is 12 m

<u>Compare</u>

The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m

=15m-12m=3m

5 0
3 years ago
What is the value of the expression below?<br> 72 ÷ 4.5x3+8
Fofino [41]

Answer:

56

Step-by-step explanation:

Apply PEMDAS:

72 / 4.5*3+8\\\\16*3+8\\\\48+8\\\\\boxed{56}

4 0
3 years ago
Hey can anyone help me on number B please?
NNADVOKAT [17]

Answer:60

Step-by-step explanation:all sides of the triangle have to be 180 degrees

5 0
3 years ago
Read 2 more answers
Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to r
zlopas [31]

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.

The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).

In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.

Since the hall can hold a total of 50 people, the domain of the function = [0, 50]

C(0) = 65(0) = 0, C(50) = 65(50) = 3250

Hence, the range of the function = [0, 3250]

8 0
3 years ago
The probability distribution for a
Tpy6a [65]

Answer:

P(x \le -3) =0.30

Step-by-step explanation:

Given

The attached probability distribution of x

Required

Find P(x \le -3)

To do this, we consider all values of x less than or equal to-3.

So, we have:

P(x \le -3) =P(x=-5) + P(x = -3)

From the table:

P(x=-5) = 0.17

P(x = -3) = 0.13

So, the equation becomes

P(x \le -3) =P(x=-5) + P(x = -3)

P(x \le -3) =0.17 + 0.13

P(x \le -3) =0.30

3 0
3 years ago
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