Dylan had 300 5p coins in a box last month. He now has 360 5p coins. Find the percentage increase.

[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=7.2\\ b=6.7\\ c=4.5\\ s=\frac{7.2+6.7+4.5}{2}\\[0.5em] \qquad 9.2 \end{cases} \\\\\\ A\sqrt{9.2(9.2-7.2)(9.2-6.7)(9.2-4.5)}\implies A=\sqrt{9.2(2)(2.5)(4.7)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 14.704~\hfill[/tex]

Answer:

The answer is C. 14.704

Step-by-step explanation: I just took the test

Answer:

([tex]6 - \sqrt{31}[/tex], [tex]6 + \sqrt{31}[/tex])

Step-by-step explanation:

[tex]x^{2}-12x+5 < 0[/tex]

To solve this inequality, we can start by completing the square.  To do this, we divide the x coefficient (-12) by 2 and then square it.  We then add the result to the left side of the equation.  To ensure the inequality remains true, we also subtract it.

[tex]x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\[/tex]

We can then express the first trinomial as a perfect square.

[tex](x-6)^{2} - 31 < 0[/tex]

Add 31 to both sides:

[tex](x-6)^{2}< 31[/tex]

Then take the square root of both sides:

[tex]x-6<[/tex] ± [tex]\sqrt{31}[/tex]

Finally, add 6 to both sides:

x < 6 + [tex]\sqrt{31}[/tex]

x > 6 - [tex]\sqrt{31}[/tex]

The solution to the inequality in interval notation is shown by option A

An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other.  Inequalities are denoted by symbols.

We have to use the quadratic formula that states that;

x < (-b ± √([tex]b^2[/tex] - 4ac)) / 2a

So we have that;

x < [12 ± √([tex](-12)^2[/tex] - 4 * 1 * 5)] / 2 * 1

Thus we would obtain in the end;

6 - √31 < x < 6 + √31

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Answer:

As 1 feet = 12 inches

Therefore, 4 feet = 48/12

= 4

Answer = 4 feet

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

Step-by-step explanation:

Assuming we're rolling a cube die with 6 sides.

Odds for rolling any of 1, 4, 3, or 5 has four possible successes

4/6 = 2/3

Odds for NOT rolling any of 1, 4, 3, or 5 has two possible successes, 2 and 6

2/6 = 1/3

Answer:7777

Step-by-step explanation:

Answer:

$158.67

Step-by-step explanation:

Answer:

3. (X-6)(X-6)

Answer:

42.5 inches

Step-by-step explanation:

Ivan is 75 inches tall, and Logan would be half his size, 37.5 that is, if he were 5 inches shorter. That means logan is 42.5 inches.

Answer:

Logan is 42.5 inches

Step-by-step explanation:

half of Ivan is 37.5

Logan is 5 inches taller than 37.5 so 42.5

Hope this helps!

Let me know if it does and if the answer is right

Answer:

55

Step-by-step explanation:

180=35+90+m∠3

The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]

Given the differential equation;

[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]

Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation

Let [tex]D=\frac{dy}{dx}[/tex]

The differential equation becomes;

[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]

Factorizing the auxiliary equation m² - 2m = 0

m² = 2m

m = 2

Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as  [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]

Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]

b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.

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Answer:

(0,4) is the answer hope it helps

Answer:

c

Step-by-step explanation:

because the rest are just way off

Answer:

The answer is C, bro

Step-by-step explanation:

hope this helped.

Answer:

D. -3

Step-by-step explanation:

g(x) moved 3 units to the right

Given polynomial:

(4x²-3x+7) - (x²+8x-5)

⇛ 4x²-3x+7-x²-8x+5

⇛ (4x²-x²) +(-3x-8x)+(7+5)

⇛ (4-1)x²+(-3-8)x+12

⇛ 3x²+(-11)x+12

⇛ 3x²-11x+12

Note:-

When subtracting two polynomials,change the symbols of the each term in the second polynomial which is subtracted from the first polynomial.

Read more:

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Answer:

[tex]3x^2-11x+12[/tex]

Step-by-step explanation:

First, distribute the negative:

[tex]4x^2-3x+7-x^2-8x+5[/tex]

Then combine like terms:

[tex]3x^2-11x+12[/tex]

Answer:

Celsius and Fahrenheit are two important temperature scales that are commonly misspelled as Celcius and Farenheit. The formula to find a Celsius temperature from Fahrenheit is: °F = (°C × 9/5) + 32 The formula to find a Fahrenheit temperature from Celsius is: °F = (°C × 9/5) + 32 The two temperature scales are equal at -40°.

Step-by-step explanation:

PA BRAINLIEST

Answer:

the quotient, fixed as a percentage

Step-by-step explanation:

Answer:

Fixed Percentage means, the quotient, expressed as a percentage, obtained by dividing the unexpended and not withdrawn amount of the Allocated Amount, at the time a Net Profits Interest is assigned by the total of (i) the unexpended and not withdrawn amount of the Allocated Amount and (ii) the unexpended and not.

Answer:

4.4

Step-by-step explanation:

4 (4.4) ≥ 18 does not make sense. 4 x 4.4 = 17.6, which is not more than or equal to 18.

Answer:

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

-1/8 = -0.125

-1/10 = -0.100

as it is negative  

-0.125 < -0.1

so it is false

Answer:

4-1

Step-by-step explanation:

i think thats right

Answer:

g(x) = x(x-2)^2(x-3) -3

Step-by-step explanation:

the translation from f(x) to g(x) is right 1 down 3.

vertical translations are easier since you just add the amount to everything. so we have f(x) - 3 = (x-1)^2(x-2)(x+1) -3.

for the horizontal translation, we make every x into x-1, so now we have (x-1-1)^2 (x-1-2) (x-1+1) - 3 or (x-2)^2(x-3)x -3

looking at the answers it is g(x) = x(x-2)^2(x-3) -3

Answer:

Step-by-step explanation:

A. Zero Slope: since it is horizontal

B. Positive Slope: since it goes up and to the right

C. Undefined Slope: since it is vertical

D. Negative Slope: since it goes down and to the left

Answer:

(x^2-6)^2

Step-by-step explanation:

Answer:

(x2-6)^2

Step-by-step explanation:

I think that's the answer not sure

Answer:

4x + 2y ≤ 20

Step-by-step explanation:

x = burger

y = fries

a.    4x + 2y ≤ 20      at most means ≤

Answer:

3/2 x -1/9= -1/6

-5/4 divided by 1 3/7=-7/8

Step-by-step explanation:

Answer:

1.)

a.)The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations.

b.)Medications such as naproxen, ibuprofen, and acetaminophen are most effective in reducing pain and swelling associated with muscle-related lower back pain. However, OTC medication is less likely to alleviate symptoms that stem from nerve compression or disc problems.

Step-by-step explanation:

I HOPE ITS HELP YOU

Answer:

  20.1°

Step-by-step explanation:

Put the given numbers into the given formula and do the arithmetic.

  ∆L = 1050/(60·cos(29.5°)) ≈ 20.1°

The change in longitude is about 20.1 degrees.

__

Additional comments

A degree is 60 minutes: 1° = 60', so 30' = 0.5°.

This formula is accurate when the distance units are nautical miles.

[tex]x = - \frac{2 \sqrt{3} + 12 }{11} [/tex]

hope it helps

see the attachment for explanation

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