We let x and y be the number of Hobbies & Recreation and Soliloquies episodes that Steve subscribe. The system of linear equation that best represent the given above is,
x + y = 10
32x + 42y = 340
The values of x and y from the system are 8 and 2, respectively. Thus Steve subscribed to 8 Hobbies & Recreation and to 2 Soliloquies episodes.
The scatter plot shows that the heating bill will be about $95 for an average monthly temperature of 40°F.
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What is a scatter plot?</h3>
It should be noted that a scatter plot uses dots to represent values for different numeric variables. In this case, the position of each dot on the horizontal and vertical axis shows the values for an individual data point.
From the complete question, the graph attached shows that the heating bill will be about $95 for an average monthly temperature of 40°F.
In conclusion, scatter plots are used to observe the relationships between variables.
Learn more about scatter plots on:
brainly.com/question/6592115
Zero. The negative one means arctan. Arctan times 0 is 0.
Let us assume total capacity of the container = x pounds.
Container contains 1/6th coffee of total x pounds, that is x/6 pounds.
We also given that 1/6th part is equal to 2/3 of a pound.
So, we could setup an equation now.
x/6 pounds equals 2/3 of a pound.

Dividing both sides by 1/6, we get
÷
=
÷
.
Therefore, x =
÷
Division expression that represents the capacity of the container = 2/3 ÷ 1/6.
The resultant velocity of the plane is the sum of the two velocity vectors which are perpendicular to each other. See the attached figure.
The magnitude of the resultant velocity is
.
The approximate value of the actual velocity of the plane is
. Correct choice is (D).