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CaHeK987 [17]
2 years ago
9

28 first graders and 12 other students attended a school assembly what percentage of the students at the assembly were first gra

ders​
Mathematics
2 answers:
Hitman42 [59]2 years ago
8 0

Answer:

70%

Step-by-step explanation:

28+12= 40

28/40= 0.7

0.7x100= 70

Harlamova29_29 [7]2 years ago
3 0

Answer:

70%

Step-by-step explanation:

Find the total students who attended a school assembly:

28 + 12 = 40

100% = 40 students

1% = 40 ÷ 100 = 0.40

28 ÷ 0.40 = 70

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The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(
Rus_ich [418]
U(x) = f(x).(gx)
v(x) = f(x) /  g(x)

Use chain rule to find u(x) and v(x).

u '(x) = f '(x) g(x) + f(x) g'(x)

v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2

The functions given are piecewise.

You need to use the pieces that include the point x = 1.

You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.

And the slopes can be calculated graphycally as run / rise of each graph, around the given point.

f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1

g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5

You also need f (1) = 1 and g(1) = 2

Then:

u '(1) =  f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5

v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 -  1*1.5] / (2)^2 = [2-1.5]/4 =

= 0.5/4 = 0.125

Answers:
u '(1) = 3.5
v '(1) = 0.125

 


 

3 0
3 years ago
A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in
nordsb [41]

Answer:

h'(t) = -12.6 t +53

Now we can set up the derivate equal to 0 and we have:

-12.6 t +53 = 0

And solving for t we got:

t = \frac{53}{12.6}= 4.206

For the second derivate respect the time we got:

h''(t) = -12.6

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

h(t) = -6.3t^2 +53 t+24

In order to maximize this function we need to take the first derivate respect the time and we have:

h'(t) = -12.6 t +53

Now we can set up the derivate equal to 0 and we have:

-12.6 t +53 = 0

And solving for t we got:

t = \frac{53}{12.6}= 4.206

For the second derivate respect the time we got:

h''(t) = -12.6

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

8 0
3 years ago
The area of the region under the curve of the function f(x) = 5x + 7 on the interval [1, b] is 88 square units, where b > 1.
djverab [1.8K]
We are given the area of the region under the curve of the function f(x) = 5x + 7 with an interval [1, b] which is 88 square units where b > 1 

We need to find the integral of the function f(x) = 5x + 7 with the limits 1 and b 

5/2 x^2 + 7x (limits: 1, b)

substitute the limits:

5/2 (1^2) + 7 (1) - 5/2 b^2 + 7b = 0

solve for b

Then after solving for b, this would be your interval input with 1: [1, b].<span />
4 0
2 years ago
Read 2 more answers
Can anyone help me plz and I need the person to explain it for me
lions [1.4K]

Answer:

1 cm = 100 mi

28.9/1=28.9

28.9 x 100 = 2890 miles distance

2890 / 65 miles per hour = 44.4615 hours to drive

44.461/24 hours in a day = 1.85 rounded up is 2 days

About two days

If you have any questions you can ask

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone get my schoolwork to 15% done
guapka [62]

Answer:

whats the login :)

Step-by-step explanation:

6 0
3 years ago
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