Answer: slope, m = -7/3
Step-by-step explanation:
The equation of the line is
7x+3y=15.
To find the slope,
We will consider the standard slope intercept equation also known as the equation of a straight line,
y = mx + c
Where m = slope( change in y values divided by change in x values)
c = the y intercept. This is the point where the straight line cuts across the y axis
Looking at the given equation, 7x+3y=15,
We would need to rearrange it and make y the subject of the formula. It becomes
3y = 15 - 7x
Dividing the right hand side of the equation and left hand side of the equation by 3,
y = -7x/3 + 15. Comparing with the slope intercept equation,
m = -7/3
Answer:
The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball is approximately 4.66 inches
Step-by-step explanation:
The dimension of the ball with known radius = 16-inch
The surface area of the ball with 16-inch radius = 4×π×r² = π·D² = π×16² = 804.24772 in.²
Given that the ball uses one-half the rubber material coating used to cover the 16-inch ball, we have the surface area of the ball = 804.24772 in.²/2 = 402.12386 in.²
The radius, r₂ of the new ball is found as follows;
402.12386 in.² = 4×π×r₂²
r₂² = 402.12386 in.² /(4×π) ≈ 32
r₂ = √32 = 4·√2 ≈ 4.66 inches
The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball ≈ 4.66 inches.
Answer:
Sixteen and forty-three hundredths
Step-by-step explanation:
The complete sequence solved by arithmetic progression is 5 8 11 14 17.
<h3>What is arithmetic progression?</h3>
The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). It is possible to obtain a formula for such nth term of a AP using this kind of development.
The numbers 5, 8, 11, 14,... belong to the arithmetic progression (AP) since they follow a pattern in which the previous number is added by 3 to get each new number.
nth term = a + (n-1)d
where, a is the initial term (=5)
n is the total terms in the series (=5)
d is the common difference (8-5=3)
Substitute the values in the formula to get the result;
5th term = 5 + (5-1)3
= 5 + (4×3)
5th term = 17
Therefore, the last term (5th term) of the series is 17.
To know more about the arithmetic progression, here
brainly.com/question/16954227
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The correct question is-
What are the missing numbers in the sequence 5 8 11 14 __?
