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vesna_86 [32]
3 years ago
10

For a spelling bee, each student was given 537 words to stydy. There are 45 students in the spelling bee. How many words will be

studied.
Mathematics
2 answers:
lozanna [386]3 years ago
6 0

Answer: 24165, I think

Step-by-step explanation:

I just multiply the kids that were there by the words they were each given

Lena [83]3 years ago
4 0

Answer:

24,165

Step-by-step explanation:

=537*45

=24,165

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A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40
malfutka [58]
PART A

The given equation is

h(t) = - 16 {t}^{2} + 40t + 4

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4

We add and subtract

- 16(- \frac{5}{4} )^{2}

to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4

We again factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4

This implies that,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4

The quadratic trinomial above is a perfect square.

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4

This finally simplifies to,

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29

The vertex of this function is

V( \frac{5}{4} ,29)

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

29

PART B

When the ball hits the ground,

h(t) = 0

This implies that,

- 16 ( t- \frac{5}{4}) ^{2} +29 = 0

We add -29 to both sides to get,

- 16 ( t- \frac{5}{4}) ^{2} = - 29

This implies that,

( t- \frac{5}{4}) ^{2} = \frac{29}{16}

t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }

t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}

t = \frac{ 5 + \sqrt{29} }{4} = 2.60

or

t = \frac{ 5 - \sqrt{29} }{4} = - 0.10

Since time cannot be negative, we discard the negative value and pick,

t = 2.60s
8 0
3 years ago
(5x10)+(4x1)+(6x1/10)+(2x1/1000
Furkat [3]
This is the answer ,you should first do the multiplication then the sum.

5 0
3 years ago
Read 2 more answers
Devon is making 8 loaves of bread. Each loaf of bread needs
kondor19780726 [428]

Answer:

30 cups of flour

Step-by-step explanation:

3 x 8 = 24

3/4 x 8 = 24/4 = 6

24 + 6 = 30

6 0
2 years ago
The number of hours to paint a house varies inversely with the number of painters working. A
telo118 [61]

Answer:

9

Step-by-step explanation:

3 0
3 years ago
Select 2 strategies that we can use to subtract 563-192
MissTica
Answer:

C. Subtract 571 - 200

Step-by-step explanation:

563 - 192

We can make 192 to 200 by adding 8

So if I add 8 to 192 I have to add 8 to 563

563 + 8 = 571

192 + 8 = 200

571 - 200 = 563 - 192

371 = 371

Therefore our answer is C.
4 0
3 years ago
Read 2 more answers
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