The force applied is directly proportional to the stretch of a cell. If a force of 132 newtons stretches a cell 0.07 meters, what force would be needed to stretch a cell 0.1 meters? Round to the nearest tenth.

The independent variable is the one that is changed or controlled in an experiment to test its effects on the dependent variables. Here, the number of hours worked is independent because it affects the other variables (taxes withheld, retirement savings, and sick leave), making it the cause rather than the effect.

Hire purchase cost=down payment + total monthly installment

Total monthly payment=hire purchase cost-down payment= $(1570-400)=$ 1170

Number of months=total monthly payment/monthly payment=$1170/$100=11.7 months

The consumer will clear the balance in 12 months.

We determine least common denominator (LCD) using prime factorization of denominators as follows

2=1*2

3=1*3

5=1*5

Thus, LCD of 2, 3, 5 = 2*3*5=30

Given the equation

(x/y)-z=rw

Subtract z on both sides of the equation

x/y=rw+z

multiply both sides by y

x=y(rw+z)

Now rearranging the fllowing equation

x=y(z+rw)

To calculate the number of months it will take to pay off the television, we first subtract the down payment from the total cost of the television:

1,570−400=1,170

Now, we divide the remaining balance by the monthly payment amount:

1,170÷100=11.7

Since the consumer cannot make a fraction of a payment, it will take 12 months to pay off the television.

In a negatively-correlated variables, a change in one variable result in opposite change in the other variable. In other words, an increase in on variable results in a decrease in the other.

Now let’s analyze the given scenarios:

As elevation increases, temperature decreases is a NEGATIVE CORRELATION

As elevation increases, temperature increases is a POSITIVE CORRELATION

As elevation decreases, temperature remains the same this is NO-CORRELATION

As elevation decreases, temperature decreases is a POSITIVE CORRELATION

The constant of proportionality is the distance traveled divided by gallons of gas consumed

Constant of proportionality=386.4 miles/14 gallons= 27.6 miles per gallon.

A 10% discount on the original price of $950 equals $95 (10% of 950 = 95). Subtracting this discount from the original price, $950 - $95, gives a sale price of $855.

Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.

In direct proportion relation we utilize the relationship as:

Variable∝Variable 2

Thus from the given case,

Force∝stretch

We introduce a constant term, K to remove the sign of proportionality as

Force=K* stretch

Let’s find the value of K, using Force=132 N and stretch of 0.07 m

132 N=K*0.07 m

K=132 N/0.07 m=1885.7 N/m

Now substitute this value of K in the following equation

Force=1885.7 N/m * stretch

For a stretch of 0.1 m, the force needed is

Force=1885.7 N/m * 0.1 m=188.57 N=188.6 N