Answer:
what about 4
Step-by-step explanation:
Answer:
2. Number of workshops attended.
Step-by-step explanation:
The variable of interest for predicting the final exam score and doing regression analysis is workshop attendance. Therefore, the response variable should be the number of workshops attended by each student.
This also agrees with what the college tutoring center staff are considering, which forms the research question: "should the center increase the number of math workshops they offer to help students improve their performance in math classes?"
Answer:
x = 3, line AB = 17 , and line CD = 17
y = 10, angle A = 70, and angle D = 70
Step-by-step explanation:
well since their the same length you can put them equal to each otheir
5x + 2 = 8x - 7
subtract 5x by both sides to get --> 2 = 3x -7
add 7 to both sides and get --> 9 = 3x
divide 3 by both sides to get x = 3
now plug it back in each equation we started with and get you answers
Same steps for y but different equations
Here, we are required to determine after how many minutes will the two substances be at the same temperature.
The equation of when the two substances will be at the same temperature and the solution are as follows;
(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).
(b) The solution is, x = 3.285minutes.
For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;
For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;
(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).
The equation is therefore;.
96.2 + 1.5(x) = 98.5 + 0.8(x)
(b) To determine the solution;
1.5x - 0.8x = 98.5 - 96.2
0.7x = 2.3
x = 2.3/0.7
x = 3.285minutes.
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Answer:
see explanation
Step-by-step explanation:
a shift of 3 squares right means add 3 to the x- coordinate
a shift of 1 square down means subtract 1 from the y- coordinate
translation rule is (x, y ) → (x + 3, y - 1 ) , then
(1, 1 ) → (1 + 3, 1 - 1 ) → (4, 0 )
(1, 4 ) → (1 + 3, 4 - 1 ) → (4, 3 )
(3, 1 ) → (3 + 3, 1 - 1 ) → (6, 0 )