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faust18 [17]
2 years ago
13

The number of gift baskets Penelope can make varies directly with the amount of time she spends making the baskets.

Mathematics
2 answers:
Bingel [31]2 years ago
4 0
The answer is 10 baskets in 5 hours because 5 divided by 1/2 is 10
insens350 [35]2 years ago
3 0
She can make 40 baskets in 5 hours because in 1 hour she can make 8 so 8 times 5 is 40
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A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0
3 years ago
Help!! Gotta finish 2 units in 4 days!!
Step2247 [10]

Answer:

\large \boxed{\sf \ \ g(x)=3|x| \ \ }

Step-by-step explanation:

Hello,

Let's follow the instructions !

Step 1

g(x)=k*f(x)=k*|x|

We know that the point (2,6) is on the graph so 6=g(2) meaning:

6=k*|2|=k*2

*** divide by 2 both sides ***

k = 6/2 = 3

Step 2

g(x)=3*|x|

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
Find the volume of the triangular prism with height=9 cm, base=6cm, and altitude of triangles=8cm
telo118 [61]
The answer is C

Multiply all of the measurements and divide by 2. Picture cutting the triangle in half from the top point, then use the measurements you have and multiply live it’s a rectangular prism.
8 0
2 years ago
Read 2 more answers
Which expression is equivalent to is m<4
Tju [1.3M]

Answer:

(g*h)=x.

Step-by-step explanation:

the expression is equivalent

7 0
2 years ago
Given line AB and point O on that line, any ray that can be drawn with its endpoint at O can be put into a one- to-one correspon
natima [27]

Answer:

Protractor

Step-by-step explanation:

A POSTULATE, LAW OR THEORY SHOULD NEVER BE ALTERED

∴ The protractor postulate states that the measurement of an angle between two rays can be designated as a unique number, and this number would be between 0 and 180 degrees, Hence for every angle A, there corresponds a positive real number less than or equal to 180. This postulate guarantee the use of a protractor to measure angles.

Hence, Given line AB and point O on that line in such a way that any ray that can be drawn with its endpoint at O can be put into a one- to-one correspondence with the real numbers between 0 and 180 is a statement that explains Protractor's Postulate.

4 0
3 years ago
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