Answer:
The slope would be 5
Step-by-step explanation:
The reason why it would be five is because the slope formula is y=mx+b with m being your slope and b being your y-intercept.
The height of a falling object can be approximated (assuming no air resistance) by
h(t) = -16t^2 + h0
where h0 is the initial height of the object.
We are given h(5.6) = 0 and are asked to find h0.
0 = -16*5.6^2 + h0
16*5.6^2 = h0
501.76 = h0
<span>The height of the building is about 500 ft.</span>
Answer:
Point N will be located between 0 and -1.
Step-by-step explanation:
Points A and D are placed at (-4, 0) and (4, 0) on a number line.
We have to find the location of a point N which divides AD in the ratio of 3 : 4.
Coordinates of a point (x, y) which divides a segment with extreme ends at and in the ratio of m : n is given by,
x =
y =
By this formula, coordinates of the point N will be,
x =
x =
y = 0
Therefore, coordinates of the point N are .
Point N will be located between 0 and -1.
Answer:
21.99/22 cm^2
Step-by-step explanation:
take the area of one unshaded circle, multiply by two, and subtract from the area of the whole figure.
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.