Answer:
175 adults
360 senior citizens
Step-by-step explanation:
Let x be the number of senior citizens
There were a total of 535 people, so
(535-x)=total number of adults
Total receipts=$8,355
Adult payments+Senior payments=$8,355
21(535-x)+13x=$8,355
$11,235-21x+13x=$8,355
$11,235-8x=$8,355
-8x=$-2,880
x=360 senior citizens
Number of adults=535-360=175 adults
To check, just substitute...
21(175)+13(360)
3,675+4,680
Which equals.....
$8,355
Answer:
an antigen is toxic foreign substance, that induces an immune reaction in the body.
an antibody is a blood protein that is made in retort to the counteracting of a certain antigen.
apoptosis is the death of cells that occur normally and control part of a specific organisims growth.
an autoimmune disease is a condition in which your immune system mistakenly attack your body.
a b-cell is a type of lymphocyte that is responisble for the autoimmunity component in the adaptive immue system.
a t-cell is part of the immue system tht develop from types of stem cells in the bone marrow.
a helper is a type of white blood cells that serves as a specific and important key of immune functions.
a killer is an innate immune cell that shows a strong cytolyic function against physiologically stressed cells such as: tumor cells, and virus infected cells.
a suppressor is a lymphocyte that can suppress the antibody production by other lymphoid cells.
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i apologize, i can get to more but i am busy.
About 4.1 seconds. How long was the ball in the air? We are told that t represents time in seconds since the ball was thrown, so it started to be 'in the air' at t = 0 To answer the question, then, we need to know the time when it stopped being in the air. We are told that the ball hit the ground. So that's what happened when it stopped being airborne. We need to relate that event to the mathematics we're working with. What can we say about h , the height of the ball when the ball hits the ground? Answer: The height will be 0 when the ball stops being in the air. Now translate this back to the mathematics: The ball is in the air from t = 0 until the time t when h = 0 . Find the time t that makes h = 0 . That means: solve: − 5 t 2 + 20 t + 2 = 0 We can solve this by solving: 5 t 2 − 20 t − 2 = 0 (Either multiply both sides of the equation by − 1 , or add 5 x 2 − 20 x and − 2 to both sides and then re-write it the other way around) That's a quadratic equation, so try to factor first. But don't spend too much time trying to factor, because not every quadratic is easily factorable and that's OK, because we still have the quadratic formula if we need it. We do need it. t = − ( − 20 ) ± √ ( − 20 ) 2 − 4 ( 5 ) ( − 2 ) 2 ( 5 ) = 20 ± √ 440 10 = 20 ± √ 4 ( 110 ) 10 = 20 ± 2 √ 110 10 = 2 ( 10 ± √ 110 ) 2 ( 5 ) = 10 ± √ 110 5 We can see that 10 < √ 110 < 11 . In fact ( 10 + 1 2 ) 2 = 10 2 + 10 + 1 4 = 110.25 Using 10.25 as an approximation for √ 110 , we get : for the solution t = 10 − √ 110 5 we'll get a negative t . That doesn't make sense. The other solution gives t ≈ 10 + 10.25 5 = 20.5 5 = 4.1 seconds. So the ball was in the air from t = 0 until about t = 4.1 . The elapsed time is the difference, 4.1 seconds.
Answer:
A) The quotient is x^2+7x+7 and the remainder is 10.
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
This is just like working with money in a bank account
that's earning 12% interest.
If the population is 422,000 today, and
' n ' is the number of years after today,
then
Population = 422,000 (1.12)ⁿ .
