The cost price of each pair of socks is 3 dollars and 97 cents
The total money paid by Jessica for 4 pair of socks = $20
The money that the cashier returned = $4.12
It is also given that, each pair of sock would cost same price
We need to find, The cost price of each pair of socks
To do that, first let's find
The amount that was paid for 4 pair of socks = 20 - 4.12 = $15.88
Now,
The cost price of one pair of sock = 
= $3.97
= 3 dollars and 97 cents
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Answer:
the number of revolutions of the rotor required to turn the probe through 44.1° about its central axis is approximately 117 revolution.
Step-by-step explanation:
From the conservation of angular momentum of the motor
Ip× theta p = Im × theta m
Where IP = 6.84 is the rotational inertia of the probe along it central axis
Theta p= 44.1°, Im = 7.17 ×10^-3 is the rotational inertia of the electric motor about it central axis.
Ip× theta p = Im × theta m
6.84 × 44.1 = 0.00717 × theta m
301.644 = 0.00717 × theta m
Theta m= 301.644 /0.00717
= 42,070.3°
Number of revolution =42,070.3°/360
= 117 revolution
Answer:
Step-by-step explanation:
Jared wrote the equation as,
k + (k + 1) + (k + 2) = 4k
Solution for k will be,
3k + 3 = 4k
4k - 3k = 3
k = 3
For k = 3, consecutive numbers will be → 3, 4, 5
Jared did not get the correct answer.Solution to this equation is k = 3, giving 3, 4, and 5 as three integers. However, 3 and 5 are not even integers. He should have used the equation k + (k + 2) + (k + 4) = 4k, which gives k = 6 and the correct answer is 6, 8, 10.
Hello!
Since ΔEFG is congruent to ΔJKL, their corresponding angles are congruent (CPCTC). The congruence statement tells you which angles of the triangle correspond; ∠E corresponds to ∠J, ∠F corresponds to ∠K, and ∠G corresponds to ∠L. The measures of all the angles of ΔJKL are given, so you just have to name the angle of ΔJKL that corresponds to ∠E of ΔEFG.
Looking at the congruence statement, ∠J corresponds to ∠E, and the m∠J is 90°. Thus the answer is 90°.
Answer:
m∠E = 90°
Answer:
4) is the opposite function of 3), and vice versa. Because f(x) =2x-1 and its opposite f(x)=-2x+1. And we can see them both in pictures 3 and 4.
Step-by-step explanation:
A piecewise function is a function defined in a sequence of intervals. The most known piecewise function is the modular function. (1st picture)
An opposite function is given by f(x)=-x of f(x)=x
The following pictures describe the following functions:
1) f(x)=-|2x|+2
2) f(x)= 2.34x-2.34 and f(x)= -2.34x-2.34
Notice how the second function express the opposite line, by the opposite angular coefficient.
3) f(x) =2x-1 and f(x)=-2x+1
4) f(x) = -2x+1 and f(x)=2x-1
Different intervals but the same functions are graphed in 3 and 4. So the graph of f(x)=2x-1 and its opposite f(x)=-2x-1
