Missing part in the heading of the question:
"The force f (in pounds) required to push a sofa across the floor varies directly as the weight w (in pounds) of the sofa"
Answer:
F = 0.625 w
Explanation:
We are given that F in pounds varies directly with the weight of the sofa in pounds.
This means that:
F = kw
where:
F is the force
k is the constant of proportionality
w is the weight of the sofa
We are given that:
F is 100 pounds when w is 160 pounds
Substitute with these givens in the above equation to get the constant of proportionality k as follows:
F = kw
100 = 160k
k = 100 / 160
k = 0.625
This means that the equation describing the relation between the force and the weight of the sofa is:
F = 0.625 w
Hope this helps :)
In this instance, the statement, "Is the water cold?" is not a proposition. Therefore, <u>D. No</u>, because the statement does not make a claim; it is a question.
<h3>What is a proposition?</h3>
A proposition is a declarative statement that makes a claim that is either true or false.
Every proposition requires a solution or proof to find it true or not true.
Propositions need to be considered and debated before acceptance or rejection.
Thus, <u>Option D.</u> No, because the statement does not make a claim; it is a question.
Learn more about propositions at brainly.com/question/14766805
#SPJ1
Answer:
x>1
Step-by-step explanation:
× (-2x - 10) > 3(4-6x)
-2x - 10 > 6(4-6x)
-2x - 10 > 24 - 36x
-2x + 36x > 24 + 10
34x > 34
x>1
Answer:
Kindly check explanation
Step-by-step explanation:
The hypothesis :
H0 : μ = 3000
H0 : μ ≠ 3000
The test statistic :
(xbar - μ) ÷ (s/√(n))
xbar = 3500
μ = 3000
σ = 300
n = 30
(3500 - 3000) ÷ (350/√(30))
Test statistic = 7.824
Df = 30 - 1 = 29
Tcritical at 0.01 = 2.462
Test statistic > critical value ; we reject H0 ; and concluded that there is significant evidence that
μ ≠ 3000
Answer:
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
Total charge for 12 miles
=
$
20.75
Explanation:
Building the rule
The trick with algebra is to think what you would do with numbers, then substitute letters.
Mile number 1 costs
$
4.25
The rest of the miles
⇒
(
total miles
−
1
)
×
$
1.50
Putting this all together we have:
$
4.25
+
(
total miles
−
1
)
×
$
1.50
The question instructs that we are to use the letter m for the total miles so we now have:
$
4.25
+
(
m
−
1
)
×
$
1.50
This would be written as:
$
4.25
+
$
1.50
(
m
−
1
)
So
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine the charge for 12 miles
Total charge
=
$
4.25
+
$
1.50
(
12
−
1
)
Total charge
=
$
4.25
+
$
1.50
(
11
)
Total charge for 12 miles
=
$
4.25
+
$
16.50
=
$
20.75
Hope this helps you...
:)
