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il63 [147K]
4 years ago
7

A computer can sort x objects in t seconds, as modeled by the function

Mathematics
1 answer:
lara [203]4 years ago
4 0

Answer:

48 objects

Step-by-step explanation:

we have

t=0.003x^{2}+0.001x

where

t is the number of seconds

x is the number of objects

For t=7 sec

substitute in the equation and solve for x

7=0.003x^{2}+0.001x

Solve the quadratic equation by graphing

The solution is x=48 objects

see the attached figure

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Find the perimeter of the figure. If you need to use Pi in your computation, approximate its value as 3.14. Rectangle topped by
Ksenya-84 [330]

Answer:

l think the answer is C

32.70m

Step-by-step explanation:

we all know that perimeter is the distance round the shape.

so the first step is adding 6 +6 because the other side of the shape is also 6 then add 5 and this equals to 17.

After that we find the area of the circle

which is 3.14*5= 15,7

After getting this value we add it to 17

then we get 32.70m

4 0
3 years ago
Y is directly proportional ( x+2)² <br> when x = 8 y= 250 <br> find y when x = 4​
sladkih [1.3K]

Answer:

y=90 when x=4

Step-by-step explanation:

We are given that

y\propto (x+2)^2

When x=8 and y=250

We have to find the value of y when x=4

y=k(x+2)^2

Where k= Proportionality constant

Substitute the values

250=k(8+2)^2

250=100k

k=\frac{250}{100}

k=5/2

Now, substitute x=4 and k=5/2

Then, we get

y=\frac{5}{2}(4+2)^2

y=\frac{5}{2}\times 36

y=90

8 0
3 years ago
Factorise 21ax+10by-35ay-6bx<br>with working pls​
wolverine [178]

Answer:

<h2>( 7a - 2b ) ( 3x - 5y )</h2>

<u>Step-by-step explanation:</u>

21ax + 10by - 35ay - 6bx

21ax - 35ay - 6bx + 10by

7a ( 3x - 5y ) - 2b ( 3x - 5y )

( 7a - 2b ) ( 3x - 5y )

3 0
3 years ago
In △ABC, AB = 13, AC = 20, BC = 21. Find the length of the altitude AD
nika2105 [10]

The length of the altitude AD is 12 units.

<h3>How to find the height of a triangle?</h3>

The height of the triangle can be found as follows:

We have to find an angle using cosine law before  we can find the height.

Therefore,

20² = 13² + 21² - 2 × 21 × 13 cos B

400 = 169 + 441  - 546 cos B

400 - 610 = - 546 cos B

-210 = - 546 cos B

cos B = -210 / -546

cos B = 0.38461538461

B = cos⁻¹ 0.38461538461

B = 67.3810899783

B = 67.38°

Hence,

sin 67.38° = opposite / hypotenuse

sin 67.38° = AD / 13

cross multiply

AD = 13 sin 67.38°

AD = 11.9999882145

AD = 12 units

learn more on triangle here: brainly.com/question/13387814

#SPJ1

6 0
2 years ago
Please help quickly!!!!!!!!!!The area of the regular pentagon is 6.9 cm2. What is the perimeter? 2 cm 5 cm 10 cm 20 cm
pishuonlain [190]
10
random words to fill up 20 character minimum for answering questions :P
7 0
3 years ago
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