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Answer:

2 pie in

source: Trust me bro

If we equate the two given equations y = m^4 and y = n^3, we can express mn as m^(7/3) or as n^(7/4). This is done by taking the cube root and square root on both sides of the equated equation to isolate m and n.

If we have two equations, y = m^4 and y = n^3, where y > 1, we can equate these two equations since they are both equal to same value 'y'. So the equation will be m^4 = n^3. To find the value of mn, we want to express it in terms of 'y'. So we take cube root on both sides, it will be m = (n^3)^(1/4) = n^(3/4). And square root on both sides will give n = (m^4)^(1/3) = m^(4/3). Now mn = m * m^(4/3) = m^(1 + 4/3) = m^(7/3). Similarly, mn = n * n^(3/4) = n^(1 + 3/4) = n^(7/4). Hence, mn can be expressed either as m^(7/3) or n^(7/4).

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Answer:

The answer is $3.75

Step-by-step explanation:

P = $500

r = 3%   = 0.03

n = 4

t =[tex]3/12=1/4[/tex]

Now compound interest formula is :

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting the values in formula we get,

[tex]A=500(1+\frac{0.03}{4})^{4*1/4}[/tex]

[tex]A=500(1.0075})^{1}[/tex]

= $503.75

Now, withdrawal fee = amount paid - principle

=> [tex]503.75-500=3.75[/tex] dollars.

So, the answer is $3.75.

Answer:

It will be 18% decrease, Because they said they lowered the price.

Step-by-step explanation:

The percentage decrease in buying shoes on the internet with respect to shop is 18%.

The percentage is defined as a given amount in every hundred. It is a fraction of 100.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Price in shop = $52.00

Prince in online = $42.64

The percentage decrease with respect to price in the shop ⇒

(Price in shop - Prince in online)/(Price in the shop) × 100

⇒ (52 - 42.64)/52 × 100

⇒ (9.36/52)  × 100

⇒  18%

Hence "The percentage decrease in buying shoes on the internet with respect to shop is 18%".

For more about the percentage,

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60 mph = 1 mile per minute ( 60 minutes per hour)

 so it would take 25 minutes to drive 25 miles

Answer:

25 min

Step-by-step explanation:

25/60=5/12=25 min

The gravitational potential energy of a 3 kg toy car resting at the top of a 0.45-meter ramp is calculated using the formula PE = mgh, giving us a result of 13.2385 Joules.

The calculation of gravitational potential energy for a 3 kg toy car at the top of a 0.45-meter ramp. Gravitational potential energy (PE) is calculated using the formula PE = mgh, where m stands for mass, g is the acceleration due to gravity (usually 9.81 m/s² on Earth's surface), and h is the height above the reference point. In this case, PE = 3 kg × 9.81 m/s² × 0.45 m, which gives us a gravitational potential energy of 13.2385 Joules. As the car is at rest on the top of the ramp and has not yet moved, its potential energy is at its maximum at that point.

Answer:  The correct option is (B) 1.28 radians.

Step-by-step explanation:  We are given that for an angle A :

[tex]\cos A=0.29.[/tex]

We are to find the measure of angle A in radians.

We know that the relation between degree and radians is given by

[tex]80^\circ=\pi~\textup{radians}\\\\\\\Rightarrow 180^\circ=\dfrac{22}{7}~\textup{radians}.[/tex]

Now, we have

[tex]\cos A=0.29\\\\\Rightarrow A=\cos^{-1}(0.29)\\\\\\\Rightarrow A=73.14^\circ.[/tex]

Again,

[tex]180^\circ=\dfrac{22}{7}\\\\\Rightarrow 1^\circ=\dfrac{22}{7\times180}\\\\\Rightarrow 73.14^\circ=\dfrac{22}{1260}\times73.14=1.277=1.28~\textup{radians}.[/tex]

Thus, the measure of angle A in radians is 1.28 radians.

Option (B) is CORRECT.

The properties of exponents and logarithms allow for simplifying and solving exponential equations by manipulating exponents, such as multiplying and dividing quantities, raising a power to another power, and using the inverse relationship between exponents and logarithms.

The properties of exponents are essential for solving exponential equations because they allow for the manipulation of the equations into forms that are easier to solve. The exponential and natural logarithm are inverse functions, meaning ln (e^x) = x and e^(ln x) = x. By using this relationship, any base number b can be expressed as e^(ln b), making complex calculations more manageable.

When multiplying exponential quantities, we can apply the rule where the exponents are added together, such as in (a^m) × (a^n) = a^(m + n). If we raise an exponent to another power, we multiply the exponents, which is depicted in the example of (5^3)^4 = 5^(3×4) = 5^12. Similarly, dividing exponential quantities involves subtracting exponents, and an exponential raised to a negative exponent signifies an inversion.

The logarithmic properties also come into play when working with exponents. The logarithm of a product is the sum of the logarithms: log(xy) = log(x) + log(y). This is useful when solving exponential equations since logarithms can help linearize them, making it easier to isolate the variable and find the solution.

Since the degree of the equation is 5, then the number of zeros is also equal to 5. We can find for the 1st value of the root by trial and error. To do this, we find for the value of x which makes the equation equal to zero, that is:

x^5 + 7x^4 + 2x^3 + 14x^2 + x + 7 = 0          (find x)

By trial and error I made (which I will not show anymore), the possible root is -7. This is equivalent to x + 7.

To find more roots, we divide x^5 + 7x^4 + 2x^3 + 14x^2 + x + 7 by x + 7. The answer of the division results in x^4 + 2x^2 + 1 which is a perfect square trinomial in the form of:

(x^2 + 1)^2

Therefore the other 4 roots are:

x^2 + 1 = 0      ---> i, -i           

and

x^2 + 1 = 0      ---> i, -i

Therefore the answer is:

1 real and 4 imaginary zeros

Answer:

{–2, 1, 2, 5}

Step-by-step explanation:

i got it right on the test lol

D/60 + D/50 = 2D/55 - 1/2

 find common denominator ( 3300)

3300/60 = 55

3300/50 = 66

3300/55=60

so then you get 55D +66D= 60(2D)-1650

121D=120D-1650

D=1650 miles

check

1650/60 =27.5, 1650/50 = 33,  27.5 + 33 = 60.5 hours total

1650/55 = 30, 30 x 2 = 60

60.5-60 = 0.5 longer

 so distance = 1650 miles

Answer:-  A.The independent variable is the input variable and should be represented by the x-axis.

Explanation:-

A. Correct.

B. Not correct.

Reason:- The independent variable is the input variable and should be represented by the x-axis.

C. Not correct.

Reason:- The dependent variable is the output variable and should be represented by y-axis.

D. Not correct.

Reason:-The dependent variable is the output variable and should be represented by y-axis.

Answer:

A.The independent variable is the input variable and should be represented by the x-axis.

Step-by-step explanation:

It was right on the test.

Answer:

simplified answer: its letter c

Step-by-step explanation: