There are 5 dogs playing at the dog park. Tyrone has 4 biscuits to share equally among the dogs. Tyrone wants to know how many dog biscuits each dog will get.

Answer:

448.02

Step-by-step explanation:

72% of 2489 is 1,792.08

25% of 1,792.08 is 448.02

Using the given quadratic function, it is found that:

a) The vertex is (-2.5, -15.5).

b) The y-intercept is of -3.

c) The solutions are x = -0.28, x = 5.28.

It is modeled by:

f(x) = 2x² - 10x - 3.

Which means that the coefficients are a = 2, b = -10, c = -3.

It is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Hence:

[tex]x_v = -\frac{-10}{4} = -2.5[/tex]

[tex]y_v = -\frac{(-10)^2 - 4(2)(-3)}{8} = -15.5[/tex]

The vertex is (-2.5, -15.5).

It is the value of coefficient c, hence it is of -3.

[tex]\Delta = b^2 - 4ac = (-10)^2 - 4(2)(-3) = 124[/tex]

[tex]x_1 = \frac{10 + \sqrt{124}}{4} = 5.28[/tex]

[tex]x_2 = \frac{10 - \sqrt{124}}{4} = -0.28[/tex]

The solutions are x = -0.28, x = 5.28.

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Step-by-step explanation:

[tex]5. {x}^{3} - xy + {y}^{2} = 4[/tex]

[tex] \frac{dy}{dx} ( {x}^{3} - xy + {y}^{2} ) = \frac{dy}{dx} (4)[/tex]

[tex]3 {x}^{2} - x(1) \frac{dy}{dx} + 1(y) + 2y \frac{dy}{dx} [/tex]

Combine the dy/dx.

[tex] \frac{dy}{dx} ( - x + 2y) + y + 3 {x}^{2} [/tex]

[tex] \frac{dy}{dx} ( - x + 2y) = - 3 {x}^{2} - y[/tex]

[tex] \frac{dy}{dx} = \frac{ - 3 {x}^{2} - y}{ - x + 2y} [/tex]

[tex] \frac{3 {x}^{2} + y }{x - 2y} [/tex]

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]

Step-by-step explanation:

using the product rule to differentiate - xy then

3x² - (x[tex]\frac{dy}{dx}[/tex] + y(1) ) + 2y[tex]\frac{dy}{dx}[/tex] = 0

3x² - x[tex]\frac{dy}{dx}[/tex] - y + 2y[tex]\frac{dy}{dx}[/tex] = 0

3x² + [tex]\frac{dy}{dx}[/tex] (2y - x) - y = 0 (subtract 3x² - y from both sides )

[tex]\frac{dy}{dx}[/tex] (2y - x) = y - 3x² ← divide both sides by (2y - x)

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]

-4x-6=-5y+9y

-4x-6= 4y

-4x= 4y+6

4x=-4y-6

x= (-4y-6)/4

Answer:

Step-by-step explanation:

1. the surface area of a square is 6 * s^2

a. 6 * 5^2 = 150 sq ft

b. 6 * 6^2 = 216 sq in

c. 6 * 12^2 = 864 sq mm

2. the surface area of a rectangle is 2(l*w + w*h + l*h)

a. 2(2*5 + 5*7 + 2*7) = 118 sq ft

b. 2(16*11 + 11*10 + 16*10) = 892 sq in

3. the surface area of a sphere is 4pi * r^2

a. 4pi * 12^2 = 576pi or 1809.6 units sq

b. 4pi * 16^2 = 1024pi or 3216.99 units sq

c. d = 2r, r = 5, 4pi * 5^2 = 100pi or 314.2 units sq

4. the surface area of a cylinder is (2pi * r^2) + (2pi*r * h)

a. (2pi * 6^2) + (2pi * 6 * 12) = 216pi or 678.6 units sq

b. (2pi * 2^2) + (2pi * 2 * 10) = 48pi or 150.8 units sq

c. (2pi * 3^2) + (2pi * 3 * 5) = 48pi or 150.8 units sq

5. r = d/2 = 0.5, using formula from question 4:

(2pi * 0.5^2) + (2pi * 0.5 * 4) = 4.5pi or 14.14 ft sq

Answer:

The volume of a prism with a base area of 24.3 cm2 and height 14 cm

Answer: X = 7

Step-by-step explanation:

1) 20 / 5 = 4

2) X - 2 = 5

3) 7 - 2 = 5

4) 4 x 5= 20

6) 20 / 5 = 4

7) X = 7

Answer:

Intrest rate is 3645%

20(36.45%) = $4374

Step-by-step explanation:

Semi-annualy = 6 months

Start: $9,000

After 10-years (120 months): $13,373.53

Since it's gaining money every 6 months, it gains money over 20 months.

(120/6 = 20)

After removing the starting cost, it gains $4,373.53 over 20 months.

(13,373.53 - 9,000 = 4,373.53)

$4,373.53 spread out over 20 months equals around $218.68 every 6 months.

(4,373.53 ÷ 20 = 218.6765)

(218.6765 ≈ 218.68)

$218.68 over 6 months equals about $36.45 every month

(218.68 ÷ 6 = 36.44666)

(36.4666 ≈ 36.45)

The intrest rate is 3645%

(3645% ÷ 100% = 36.45)

Step-by-step explanation:

Using the distance formula

√(x1-x2)²+(y1-y2)²

√(-3+5)²+(7-2)²

√(2)²+(5)²

√4+25

√29 units

i need the answer to this lol

Answer:

10 apples

Step-by-step explanation:

Answer:

C. 360-85=12h

Step-by-step explanation:

360=85+12h

360-85=12h

Answer:

5

Step-by-step explanation:

(1 + i ) ^45     i = interest in decimal    45 = years

(1.08)^45 = ~~ 32    

when she is 65 it will be worth  32 000

  so it doubles  5 times   (1000  2000  4000  8000 16000 32000)

Answer:

Step-by-step explanation:

Number : 2 Cost : $10

Number : 3 Cost : $15

Number : 7 Cost : $28

⇒ The cost is not always the same per person.

⇒ Predicted number in a group for cost of $40 :

⇒ Since 7 costs $28 and if we use 8, it will be $5 per head but the price difference will be too large

⇒ 10 people is more reasonable at a rate of $4 per person

Answer:

[tex]0.6428[/tex]

Step-by-step explanation:

[tex]sin(x + y) = sinxcosy + cosxsiny[/tex]

[tex]sin40 = sin(18 + 22)[/tex]

[tex]= sin18cos22 + cos18sin22= (0.3090 * 0.9272) + (0.9511 * 0.3746)= 0.2865 + 0.3563= 0.6428[/tex]

A Z-score helps us to understand how far is the data from the mean. The z-score of a person who scored 470 on the exam is 0.8.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

Given the mean is 450, while the standard deviation is 25, therefore, the value of the z-score can be written as,

[tex]Z = \dfrac{X- \mu}{\sigma}\\\\Z(X=470) = \dfrac{470- 450}{25} = 0.8[/tex]

Hence,  the z-score of a person who scored 470 on the exam is 0.8.

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Step-by-step explanation:

perimeter=(8cm×5)+24cm

=40cm+24cm

=64cm

Answer:

The answer is 8! ("eight factorial") = 8*7*6*5*4*3*2*1 = 40320, which is the number of permutations of 8 objects. 

(8 ways to put the first book in the first place, then 7 ways to put the second book in the second place, then 6 ways to put the third book in the third place, and so on). 

2. Elana's Family. Elana's Family.

The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,

⇒ m = - 2/3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The perpendicular line is,

⇒ 2x + 3y = 24

Now,

Since, Product of slopes of perpendicular line are - 1.

So, We need to find the slope of the line.

Hence, Slope of the line is,

2x + 3y = 24

y = - 2/3x + 8

m = dy/dx = - 2/3

m = - 2/3

Thus, The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,

⇒ m = - 2/3

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Answer:

[tex]y^2 + 2y + 80[/tex]

Step-by-step explanation:

[tex]6y^2 + 2y + 5 - (5y^2 - 64 - 11)[/tex]

[tex]6y^2 + 2y + 5 - 5y^2 + 64 + 11[/tex]     [pay attention to the signs :)

[tex]y^2 + 2y + 80[/tex]

Answer:

(1) the tax is 788.76

(2) 19312.23

Step-by-step explanation:

Hope this helps

Answer:

horizontal stretch

Step-by-step explanation:

For f(x) to turn into g(x), you must divide the function by 8. When we divide a function, this is known as a horizontal stretch because as you can see, the function gets wider. See the help image below with different examples.

Just a future tip: when you're in doubt, graph it out!

Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1.  Option C is correct.

The general form of the quadratic function is f(x) = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

In this case, for f(x) = -8x² - 8, the vertex is at (0, -8).

For g(x) = -x² - 1, the vertex is at (0, -1).

Comparing the two functions, you can see that the coefficient in front of x² changes from -8 to -1.

This change in the coefficient results in a horizontal stretch or compression of the parabola.

In this case, the graph has been horizontally stretched to transform from f(x) to g(x).

Hence, Option c is correct. Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1.

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Answer: x=24

Step-by-step explanation:

Answer:

there is no picture to give an answer

Answer:

I need the picture to answer the question...

Step-by-step explanation:

Using the concept of closure, it is found that the false statement is given by:

Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.

A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and  multiplication operations.

As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.

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Answer: 1/144 as a fraction

Step-by-step explanation:

An expression in terms of s that represents the number of large bottles is :  L = [tex](\frac{15s}{2} /3})[/tex]

The company makes s small bottles every minute

let ; M represent the number of medium bottles made every minute

L represent the number of large bottles made every minute

small bottles to medium =  2 : 3

small bottles to medium =  s : M

M is the unknown, so to find how many medium bottles that has been made,  we must cross multiply

2M = 3s

M = [tex]\frac{3s}{2}[/tex]  medium bottles made every minute

medium bottles to large bottles =  3 : 5

medium bottles to large bottles =  M : L

where M = [tex]\frac{3s}{2}[/tex]

The equation becomes:

           3 : 5

           [tex]\frac{3s}{2}[/tex] : L

L is the unknown, so to find how many Large bottles that has been made,  we must cross multiply

3L =( [tex]\frac{3s}{2}[/tex] ) * 5

L = [tex](\frac{15s}{2} /3})[/tex]

L = ( [tex]\frac{5}{2}[/tex] s)

L = 2.5 s

therefore the large bottles the company makes every minute is 2.5s large bottles

we can conclude that the expression for the number of large bottles the company makes every minute with respect to s is : L = 2.5 s

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