Answer (estimate the sum or differences) : 5/6+4/7, 5 4/9-4/7, 2+2/11

A ball is shot from a cannon into the air. The equation that's gives the height (h) of the ball of any time (t) is: h(t)= -16t^2

Gre4nikov [31]

Answer:

26.5 units

Step-by-step explanation:

The height of the ball at any time t is given by :

$h(t)= -16t^2 + 40t + 1.5$ ...(1)

We need to find the maximum height of the ball.

For maximum height, put $\dfrac{dh}{dt}=0$

i.e.

$\dfrac{d( -16t^2 + 40t + 1.5)}{dt}=0\\\\-32t+40=0\\\\t=\dfrac{40}{32}\\\\t=1.25\ s$

Put t = 1.25 in equation (1) to find the maximum height.

So,

$h(t)= -16(1.25)^2 + 40(1.25) + 1.5\\\\=26.5\ units$

So, the maximum height reached by the ball is 26.5 units.

4 0

3 years ago

Combine the like terms to create an equivalent expression: \large{-k-(-8k)}−k−(−8k)minus, k, minus, (, minus, 8, k, )

PIT_PIT [208]

Answer:

7k

Step-by-step explanation:

The given expression is

$-k-(-8k)$

We need to find the simplified form of the given expression.

Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.

The given expression can be rewritten as

$-k+8k$

On combining like terms we get

$(-1+8)k$

$7k$

Therefore, the equivalent expression of the given expression is 7k.

3 0

4 years ago

Write a number between 80 and 100 that has exactly 3 factors, one of which is a 5

Flura [38]

Answer:

answer is 90

Explanation:

Here 5 is one of the 4 prime factors, so dividing the lower (80) and upper limit (100) by 5 we have new lower limit 16 and new upper limit 20.

So the product of other 3 factors should be greater than 16 and less than 20.

And we can have it from 18 only. Hence the number is 90.

The numbers between 80 and 100 having factor 5 are

80,85,90,95,100

16=24

17=17

18=2×3×3

19=19

20=22×5

90=2×32×5

5 0

4 years ago

There are 72 boys and 90 girls on the math team for the next math competition Mr. Johnson would like to arrange all the students

yawa3891 [41]

Answer:

Mr. Johnson can arrange 18 students in each row, that is 4 rows of boys and 5 rows of girls.

Step-by-step explanation:

Given:

Number of boys = 72

number of girls = 90

We need to arrange students in rows with equal number of only boys and only girls.

To find the maximum number (x) of boys or girls in each row, we will find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that 'x' divides both numbers evenly without a remainder.

Now to find GCF we will factorize both numbers.

$72 = 2\times2\times2\times3\times3$

$90= 2\times 3\times 3\times 5$

from above we can say that;

GCF = $2\times 3\times 3 = 18$

Hence Mr. Johnson can arrange 18 students in each row, that is 4 rows of boys and 5 rows of girls.

5 0

3 years ago

7x5=20+8+ Fill in the missing number to make the equation true

antoniya [11.8K]

Answer: 7

step-by-step:
okay so first you do 7*5 which is 35 and 20+8 which is 28

then you get 35=28+x (the x is the ‘missing number’)

to find x you subtract 28 from both sides to keep the equation balanced

35-28=28-28+x

so 35-28 is 7 and 28-28 is 0 so then you have 7=x and your answer is 7

you’re doing algebra but instead of using variables your teacher is saying find the ‘missing number’ haha

3 0

3 years ago