The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.

Answer:

a)[tex]ms^{-1}[/tex]

b)[tex]71ms^{-1}[/tex]

Solution:

a)

we are finding the derivative from position to velocity thus

units = [tex]ms^{-1}[/tex]

b)

[tex]m=\frac{y(2)-y(0)}{2-0}=\frac{139+3}{2}=71ms^{-1}[/tex]

Answer:

y = -2x+7

Step-by-step explanation:

Parallel lines have the same slope

y = 1-2x has a slope of -2

So the new line has a slope of -2

We have a slope of -2 and a point of (3,1)

y = mx+c

1 = -2(3)+c

1 = -6+c

Add 6 to each side

1+6 =c

7 =c

y = -2x+7

Answer:

I=use PTR/100

ii =p+i

Step-by-step explanation:

hope you like it

Answer:

Step-by-step explanation:

11:30-9:30=2

so Danielle starts 2 hrs late.

let Danielle catches them after x hrs.

x×60=(x+2)×20

divide by 20

3x=x+2

3x-x=2

2x=2

x=1

so Danielle takes 1 hour to catches them.

Answer:

c. the solution is 3 times as large as 5x(465x4)

Step-by-step explanation:

I assume you are using the letter x as the multiplication sign.

Start with:

15 x (465 x 4)

We know that 15 = 3 x 5

Now we replace 15 with 3 x 5 in the original expression.

15 x (465 x 4) = 3 x 5 x (465 x 4)

Answer: c. the solution is 3 times as large as 5x(465x4)

Answer:

.899

Step-by-step explanation:

Answer:

its c, the minus makes the positive 3 negative and the neg 2 positive

Answer:

[tex]\frac{1}{15}[/tex]

This is assuming the die is from 1 - 5

Step-by-step explanation:

Tails: 0.5

Vowel: [tex]\frac{1}{3}[/tex]

Even number: [tex]\frac{2}{5}[/tex]

[tex]\frac{1}{2}* \frac{1}{3} *\frac{2}{5} =\frac{2}{30}=\frac{1}{15}[/tex]

the answer is c because you have to take the zf an time it by the zd

Answer:

C

Step-by-step explanation:

for the top of the triangle it has to be 40 and angle d has been declared as 88

so it is 40+88 = 128    now 180 -128 = 52 so the answer is C

Answer:

He sold 12 chocolates for 1 Re.

Step-by-step explanation:

He bought 15 chocolates for 1 Rupee

He sold for a profit of 25%

Sale price = profit + cost price

SP= 25%of 1 + 1 Re

SP = 0.25*1+ 1

SP = 1.25 Rs

He sold 15 chocolates fro 1.25 Rs

Chocolates            Rupees

15                            1.25

x                                1

Applying cross product

x*1.25= 15*1

x= 15*1/1.25

x= 12

He sold 12 chocolates for 1 Re.

Answer:

234.98

Step-by-step explanation:

in class notes

Answer:

1:2.25

12/12 = 1

27/12 = 2.25

Hope this helps!

Answer:

The volume 27.

The volume of a cube:

Volume = side³

The volume of a cube with side 3 units is 27 cubic units.

It is a polygon having six faces.

The volume of a cube:

Volume = side³

Example:

The volume of a cub with a side length of 2 cm is 8 cubic cm.

We have,

Side = 3 units

Volume = Side³

Volume:

= 3³

= 3 x 3 x 3

= 27 cubic units

Thus,

The volume of a cube with side 3 units is 27 cubic units.

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Answer:

4x

Step-by-step explanation:

[tex]\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x[/tex]

[tex]given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x[/tex]

Answer:

Solution given:

x+x+24°=90[being complementary angle]

2x=90-24

x=66/2

x=33

again

2x=3y[vertically opposite angle]

y=2*33/3

y=22

Answer:

2x +24 =90

2x =90-24

2x =66

x =33

CAK=24

2X=3Y

3Y=2×33

3Y=66

Y. =22

Answer:

625 N

Step-by-step explanation:

First, find the area of the square.

Area = side x side

        = 5 x 5

        = 25 m²

Force = pressure x area

          = 25 x 25

          = 625 N

Hope this helps!

Answer:

yessir

Step-by-step explanation:

gimme brainliest i think its C

Answer:

40 cupcakes

Step-by-step explanation:

Since 50% is chocolate and there is 20 chocolate then there are 40 cupcakes

Hope I helped!

Happy Pride Month

Answer:

40 cupcakes

Step-by-step explanation:

If 50% percent of the cupcakes are chocolate then 20 chocolate cupcakes are half of the total amount of cupcakes so multiply 20 by 2 and get 40 so there are 40 cupcakes in all.

Answer:

7.9m

Step-by-step explanation:

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = x

Adjacent = 7.05m

We solve for x

tan 42 = x /7.05m

Cross Multiply

tan 42 × 7.05 = x

x = 6.3478485123m

Approximately = 6.35m

Height of the statue = x + 1.55

Hence, = 6.35m + 1.55m

= 7.9m

The height of the statue = 7.9 meters

Answer:

y=a√x

y/a=a√x/a a will cancel out on the right side of the equation

therefore, √x=y/a

x=√y/x

Answer:

(-∞, -1]∪{5}

Step-by-step explanation:

We know that:

f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.

So we can just look at the graph, we can see that in the interval:

(-∞, -1]   (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)

the graph is below or intersecting the x-axis

and this also happens at x = 5 or just denoted as {5}

Then the correct notation is:

(-∞, -1]∪{5}

Answer:

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Answer: -4

Explanation:

Absolute value is the distance that a number is away from zero. Keep in mind that the absolute value is always positive.

However since the negative sign is on the outside of the function , you leave it on the final answer. Therefore the answer is -4

Answer:

time=16.3 sec

Step-by-step explanation:

let time taken be x

speed=distance/time taken

2.75=45/x

2.75x=45

x=45/2.75

x=16.36

x=16.3 seconds

The time taken is 16.3 seconds.

Speed = Distance/Time

This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.

Let x be the time taken

speed = distance/time taken

2.75 = 45/x

2.75x = 45

x = 45/2.75

x = 16.36

x = 16.3 seconds

Therefore, the time taken is 16.3 seconds.

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Answer:

DE = AE - AD

=> DE = 18.5 - 15.5 = 3

CD = CE - DE = 8 - 3 = 5