Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.
Answer:
On the science test the point ( 0 , 424 ) the intercepts is bigger
Step-by-step explanation:
The relation hours spend vs science test score is
y = 6.5*x + 424
And the relation hours spend vs Maths test score is
y = 7.2*x + 34.7
Making x = 0 ( student does not study at all ) we get:
For science score test woul be
y = 0 + 424
In case of maths
y = 0 + 34.7
That mean student without studying will get better score in science.
The point ( 0 , 424) ( science ) represents the interception with y axis
in Maths case such point is ( 0 . 34.7)
40(105/100)=42
.........................
Answer: Sammy
Step-by-step explanation: If Tom finished the 100 meter race in 12.54 seconds that means he would have been going at an average of 7.97 seconds and if Sammy is finishing a 100 meter race in 25.98 seconds he would have been going at an average of 3.84. Therefore Sammy is going at a faster average.
Hope this helps!
According to research, the public views children and teens with mental health disorders as over 1,300 U.S. adults believe children with depression are prone to violence
Answer: Option B
<u>Explanation:</u>
Most Americans trust that the people count has increased with mental health disorders in the last 20 years (69 %) and that is a major health issue in the US (89 %) according to the results of survey. They believe that mental health disorders are caused by physical disorders (like brain’s chemical imbalance or due to environmental criteria (daily stress or alcoholism / abuse of drugs).
Over nine out of ten respondents cited those factors as typical causes for mental health disorders. When asked about the most common causes of this, nearly 27 % reported chemical brain imbalances and stress in their daily lives, and 20 % reported alcohol or drug abuse.
