Answer:
$35.2
Step-by-step explanation:
% saved = 25%
Money saved = $8.80
Let x be the bill before the coupon discount.
25/100 × x = 8.80
x = $35.2
The parallelogram will translate along the arrow and reach the head of the arrow.
The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.
In the given figure, the parallelogram is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.
For more explanation about translation or rotation, refer to the following link:
hhttps://brainly.com/question/9032434
#SPJ10
Answer:
Option c.
No damping
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool.
The function is
f(x) = (√11)*cos(3.7x)
Which can be seen in the picture below
We can notice that f(x) is a cosine with maximum amplitude of (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.
f(x) does not present any dampening
Answer:
The equation of the line is;
3y = 2x-8
Step-by-step explanation:
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
<u>Given</u>:
Given that there are 10 marbles in a bag. 4 are blue, 3 are black, 2 are white and 1 is red.
The marbles are selected by not replacing the drawn ones.
We need to the probability of selected a black marble and then a white marble without replacement.
<u>Probability</u>:
Let B denote the black marble.
Let W denote the white marble.
The probability of selecting a black marble is 
The probability of selecting a white marble without replacement is 
The probability of selecting a black marble and then a white marble without replacement is given by

Substituting the values, we get;



Thus, the probability of selecting a black marble and then a white marble without replacement is 