Ask question

Ask question

All categories

3 years ago

6

The science fair judges will be science teachers. Each judge will only have time to view 5 science fair projects. There are 133

science teachers. What is the fewest number of volunteers needed to have enough judges for all of the projects

1 answer:

Whitepunk [10]3 years ago

5 0

There will need to 27 science teachers

You might be interested in

Bob is a bus driver, and his monthly salary is $1510. If the New York State income tax rate is 6.45%. How much did the money ded

viva [34]

Answer:

<h2>i. $97.4</h2><h2>ii. $1412.6</h2>

Step-by-step explanation:

step one:

given data

Bob's monthly salary is $1510

tax= 6.45%

Required

The deduction and his take-home salary

Step two:

let us compute the deduction

=6.45/100*1510

=0.0645*1510

=$97.4

Let us compute his take home

=monthly salary- tax deduction

=$1510-$97.4

=$1412.6

6 0

3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9

Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

$y=A\sin[\omega(x-\alpha)]+C$

where, A = amplitude; $\omega=\dfrac{2\pi}{period}$ , α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= $C=\dfrac{73+97}{2}=85$ [midline is average of upper and lower limit.]

A= 97-85 = 12

Phase shift: $\alpha=10$

Period = 24 hours;

$\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}$

Substitute all values in sinusoidal function, we get

$y=12\sin[\dfrac{\pi}{12}(x-10)]+85$

Put y= 82, we get

$82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03$

Hence, After about 9.03 hours the temperature first reach 82 degrees.

3 0

3 years ago

Heres another on i only have 2 try's I will give you 50 points

____ [38]

Answer:

72

Step-by-step explanation:

bacause the equation of area of square is a^2 and 12×12=144 so each side is 12 feet and the height is 6 making it 12×6 so 72 square feet

3 0

2 years ago

Read 2 more answers

What are the constant terms in the expression? 8m−5n+2+m−148m−5n+2+m−14 Drag and drop the constant terms into the box.

krek1111 [17]

2

Is is the only integer that is alone.

4 0

4 years ago

Read 2 more answers

What is the measure of x in degrees ?

mr Goodwill [35]

Answer:

x = 35°

Step-by-step explanation:

Same side interior angles are supplementary, or they add up to 180°. So write an equation:

$x+145=180$

Solve for x. Subtract 145 from both sides:

$x+145-145=180-145\\\\x=35$

The value of x is 35°.

:Done

8 0

3 years ago