The coordinates of a square are (3,2), (8,2), (8,7), and (?,?)

The number of surveyed nurses that were health club members or were smokers is 316.

If 245 of the health club members were smokers, then n(HnS) = 245 members.

The number of surveyed nurses that were health club members or were smokers = 600 - [(427 - 325) + (427-245)].

The number of surveyed nurses that were health club members or were smokers = 600 - (102+182) = 600 - 284.

The number of surveyed nurses that were health club members or were smokers is 316.

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Answer:

Slope: 7/5 , Y-int: 1/5

Step-by-step explanation:

To find the slope, lets use the points (-3,-4) and (2,3)

The slope formula is (y2-y1)/(x2-x1) so we will plug in the numbers.

(3-(-4))/(2-(-3))=7/5. 7/5 is the slope (you can also do rise over run)

We find the y-int in many ways but i will show two.

We can make an equation in point-slope form. The formula is: y-y1=m(x-x1) and we use the point (-3,-4).

y-(-4)=7/5(x-(-3))

y+4=7/5x+21/5 (then move the 4 to the other side)

y=7/5x+1/5

The 1/5 is our y-int since we now have it in slope intercept form!

The other method we can use is putting it into slope intercept form first and using (-3,-4) to find the missing variable.

Slope intercept form is y=mx+b, let m be slope, b is y int, and (x,y) is our point

-4=(7/5)(-3)+b

-4=-21/5+b (move -15/7 to other side)

1/5=b !

we get the same answer I hope this helps sorry its long

Answer:

Slope is [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=-3\sqrt{x}[/tex]

Find the derivative using the product rule:

[tex]f'(x)=\frac{d}{dx}(-3)*\sqrt{x}+-3*\frac{d}{dx}\sqrt{x}[/tex]

[tex]f'(x)=-3*\frac{1}{2\sqrt{x}}[/tex]

[tex]f'(x)=\frac{-3}{2\sqrt{x}}[/tex]

Plug in coordinates to find slope at that point:

[tex]f'(9)=\frac{-3}{2\sqrt{9}}=\frac{-3}{2(3)}=\frac{-3}{6}=-\frac{1}{2}[/tex]

Therefore, the slope of the equation at the point (9,-9) is [tex]-\frac{1}{2}[/tex].

Answer:

Step-by-step explanation:

f(x) = -3√x

f'(x) = -1.5/√x

f'(x) = -1.5/√9

f'(x) = -1.5/3

f'(x) = -0.5

Answer:

y-4=4(x-1)

Step-by-step explanation:

y=4x

The slope of the equation = m = 4

when x=1

y=4(1)

y=4

we get point from the equation which is (1,4)

point-slope formula = y-y₁=m(x-x₁)

*plot the the point we get and the slope in the formula above

= y-4=4(x-1)

An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

Given that, the perimeter of a square is four times the length of one side.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y1) = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The equation is y=4x

If the side length of a square is 1 centimeter, then y=4

So, the coordinate point is (1, 4)

The slope of an equation y=4x is 4

Put (x1, y1)=(1, 4) and m=4 in slope intercept form

That is, slope intercept form is y-4=4(x-1)

Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

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Answer:

86493225

Step-by-step explanation:

Hope it helps

Answer: (a) identity

Step-by-step explanation:

Anything multiplied by 1 will be considered an equation that is identity property.

Explanation:

Start by calculating the first derivative of f(x) - use the quotient rule

ddx(f(x))=[ddx(x2)]⋅(x2+3)−x2⋅ddx(x2+3)(x2+3)2

f′=2x⋅(x2+3)−x2⋅2x(x2+3)2

f′=2x3+6x−2x3(x2+3)2=6x(x2+3)2❤

Check the picture below.

Answer:

-5x=-10

Step-by-step explanation:

Adding both equations will result in this

14.77

458 / 31 = 14.77

It is actually a rational answer meaning it continues to go in terms (and doesn't stop) so I only included the smallest decimal degits in the answer.

Answer: 14

Step-by-step explanation:

 0 1 4

 3 1 ⟌ 4 5 8

     - 0    

       4 5  

     - 3 1  

       1 4 8

     - 1 2 4

         2 4

Answer:

Slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

rise over run = slope

Answer:

1000

Step-by-step explanation:

Answer:

100000

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

72 + 76 = 148

180 - 148 = 32

I hope this helps!!

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

The third candle which is pink or rose, represents Gaudette Sunday and the joy that the birth of Christ brought to the world. Traditionally, on Gaudette Sunday one takes a break from Advent fasting to experience the joy of the day.

3/9 = □/3

Do cross multiplication.

3/9 = □/3

3 × 3 = 9 × □

9 = 9 × □

9/9 = □

1 = □

◇ The missing number (□) is 1.

______

Hope it helps ⚜

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the missing number is 1.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

Answer:

1.5 ft^2

Step-by-step explanation:

Since the length is divided into 4 parts,

Length of a small square = 2/4

= 0.5 ft

Hence,

Area of 1 small square = (0.5)(0.5)

= 0.25 ft^2

Area of shaded portion = Area of 6 small squares

= 6(0.25)

= 1.5 ft^2

Step-by-step explanation:

The area of the shaded cubes is 3 square feet.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given side²

We have,

Since the 2 ft-by-2 ft square is divided into 16 smaller squares, each smaller square has an area of:

(2/4)ft = 0.5ft.

Now,

Out of the 16 smaller squares, 6 smaller cubes are shaded.

Since each smaller cube occupies the space of one of the smaller squares, the total area of the shaded cubes is 6 times the area of one of the smaller squares.

The area of the shaded cubes is:

6 x 0.5ft² = 3ft²

Thus,

The area of the shaded cubes is 3 square feet.

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It would cost an employee $443.52 to purchase one of these laptops at the sale.

The selling price of the laptops is $720 each. The cost price is 20 percent more than the cost price.

Cost price = Selling price - 20% of cost price

Cost price = 720 - 20% * 720 = $576

At the release, the laptops are at 23% off the store's cost. Hence:

Price of laptop at release = 576 - 23% of 576

Price of laptop at release = $443.52

It would cost an employee $443.52 to purchase one of these laptops at the sale.

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Answer:

78.75

Step-by-step explanation:

Answer:3x⁵

Step-by-step explanation: is equivalent to 3x⁵

Answer:

X = 3

Step-by-step explanation:

2x = 12 = 18

x +6 = 9

x = 9-6

x = 3

Hope its right <3 Like if it helped

Answer:

0.50

Step-by-step explanation:

C

Step-by-step explanation:

This has a U like shape so it a parabola.

Parabola correlate with quadratic functions

[tex]y = {ax}^{2} + bx + c[/tex]

Since it Going down, the answer is C -x^2.

The function whose graph is given is g(x) = -x²

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that a graph, we need to find its function,

Since, the graph is a curve opened downwards, so it is a parabola, opened downwards,

The equation of the parabola is given by y = ax²+bx+c

Therefore, out of the given options we can say that the function is y = x²

Hence the function whose graph is given is g(x) = -x²

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Step-by-step explanation:

The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,

[tex]\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0[/tex]

Since [tex]x(t) = 2t^3 - 21t^2 + 72t - 53,[/tex] its derivative is

[tex]\dot{x}(t) = 6t^2 - 42t + 72[/tex]

Equating this to zero, we get

[tex]6t^2 - 42t + 72 = 0 \Rightarrow t^2 - 7t + 12 = 0[/tex]

This is a familiar quadratic equation whose roots are

[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]\;\;\;= \dfrac{7 \pm \sqrt{(7)^2 - 4(1)(12)}}{2}[/tex]

[tex]\;\;\;= \dfrac{7 \pm 1}{2}[/tex]

[tex]\;\;\;= 3\;\text{and}\;4[/tex]

This means that the particle will be at rest at t = 3 and t= 4.

Answer:

x = -3

Step-by-step explanation:

1. 5 - x = 8

2.   +x    +x

3. 5 = x + 8

4. -8       -8

5. x = -3