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aalyn [17]
3 years ago
9

Situation: Florentina the Baker has already prepared 4 kilograms of dough. She

Mathematics
1 answer:
insens350 [35]3 years ago
5 0

Answer: 4 kilograms of dough and will continue preparing 1 kilogram of dough every hour.

Step-by-step explanation:

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SSSSSSSSSSSSSSSSSSSSSSSSSSss Which of the following equations is graphed as a vertical line?
Marysya12 [62]
Vertical line is x=0
8 0
3 years ago
The circle below is centered at the point 8.4 and has a radius of length 4 what is its equation​
pshichka [43]

Answer:

16

Step-by-step explanation:

(x-8)^2 + (y-4)^2= 16

8 0
3 years ago
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
The volume of a cube is 124 cubic inches.<br> What is the side length of the cube?
ivolga24 [154]

Answer:

4.987 in

Step-by-step explanation:

Volume of a cube=  (where x= side)

x³

we know that

124=x³

∛124=x

x=4.986630952 which rounds to

4.987

8 0
3 years ago
Read 2 more answers
Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?
vazorg [7]

Answer:

x = 4 ± \sqrt{19}

Step-by-step explanation:

Given

x² - 8x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take the square root of both sides )

x - 4 = ± \sqrt{19} ( add 4 to both sides )

x = 4 ± \sqrt{19}

8 0
3 years ago
Read 2 more answers
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