What has been the best method for you to learn mathematics?

Answer:

is it from the text book

Step-by-step explanation:

After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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The total cost of Jamie's brunch with a 20% tip is $20.94.

To calculate the total cost of Jamie's brunch with a 20% tip, we need to add the tip amount to the

Total cost refers to the sum of all costs associated with a particular item or project, including direct costs (such as materials and labor) and indirect costs (such as overhead and administrative expenses). It is the complete expense incurred in producing or acquiring something, including all fixed and variable costs.

Tip amount = 20% of the bill amount

\(= 20/100 * $17.45\)

\(= $3.49\)

Total cost = Bill amount + Tip amount

\(= $17.45 + $3.49= $20.94\)

Therefore, the total cost of Jamie's brunch with a 20% tip is $20.94.

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The temperature in Celsius is approximately 20°C.

Option  21°C is correct.

To convert a temperature from degrees Celsius (C) to degrees Fahrenheit (F), the formula F = (9/5)C + 32 is used.

In this case, we are given the temperature in Fahrenheit (69.8°F) and we need to find the equivalent temperature in Celsius.

Rearranging the formula to solve for C, we have:

C = (F - 32) \(\times\) (5/9)

Substituting the given Fahrenheit temperature into the equation, we get:

C = (69.8 - 32) \(\times\) (5/9)

C = 37.8 \(\times\) (5/9)

C ≈ 20

Therefore, the temperature in Celsius is approximately 20°C.

Based on the answer choices provided, the closest option to the calculated value of 20°C is 21°C.  

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Here the angle between vectors u = (4, 3) and v = (5, -12) is approximately 2.41 radians.

To find the angle between two vectors, u and v, we can use the dot product formula: (u, v) = |u| |v| cos(theta) where (u, v) represents the dot product of u and v, |u| and |v| represent the magnitudes of u and v respectively, and theta represents the angle between the two vectors.

In this case, the dot product of u and v is calculated as follows: (u, v) = (4)(5) + (3)(-12) = 20 - 36 = -16

The magnitudes of u and v can be calculated as:

|u| = sqrt(\(4^{2}\) + \(3^{2}\)) = \(\sqrt\)(16 + 9) = \(\sqrt{\)(25) = 5

|v| = sqrt(\(5^{2}\) + \(-12 ^{2}\)) = \(\sqrt\)(25 + 144) = \(\sqrt{\)(169) = 13

Substituting these values into the dot product formula, we get: -16 = (5)(13) cos(theta). Simplifying the equation, we have: cos(theta) = -16 / (5)(13) = -16 / 65

Taking the inverse cosine (arccos) of this value gives us the angle theta in radians. Therefore, theta ≈ 2.41 radians.

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Answer:

Wait why

Step-by-step explanation:

I don't understand can you ask your parents or friends. I don't give strangers money.

Answer:

slope of st is -0.25

slope of tu is 1

slope of us is -0.25

slope of sv is 1 so it is a parallelogram. the slope of the parallel lines needs to be the same to be a parallelogram. to find the slope, you need to find the change from the points of the referenced line, for example, slope of st you would label each point as x1, y1 and x2,y2. it does not matter which one you label and you can change them for each different line. you would then find the difference by subtracting (y2-y1) divided by (x2-x1) so 4-3=1 and 1-5 is -4. you then divide 1/-4 is -0.25. you the follow the steps for each line. is the parallel lines have the same slope, it is a parallelogram

Answer:

56%

Step-by-step explanation:

If the percentage that she wont win is 44% she still has a 64 percent chance of winning

Answer:

5x-3= x=5-3= 2=2x

then, 6×2x =12x

The present value of the loan is approximately 4. $42,817,078.

The present value of a loan is the current worth of all future cash flows associated with the loan. To calculate the present value of the loan, we need to discount each cash flow to its present value using the market rate of 7% per annum, compounded semi-annually.

Let's break down the cash flows:

1. $11 million is received now and has no discounting since it's already in present value.
2. $22 million is received at the end of month 6. We need to discount it to its present value. Since it's six months in the future, we need to calculate the present value of $22 million in six months at a rate of 7% per annum, compounded semi-annually.
3. $11 million is received at the end of 12 months. We need to discount it to its present value. Since it's one year in the future, we need to calculate the present value of $11 million in one year at a rate of 7% per annum, compounded semi-annually.

To calculate the present value, we can use the formula:

PV = FV / (1 + r/n)^(n*t)

Where:
PV is the present value,
FV is the future value,
r is the interest rate,
n is the number of compounding periods per year, and
t is the number of years.

Let's calculate the present value of each cash flow:

1. PV of $11 million received now = $11 million

2. PV of $22 million received in six months:
PV = $22 million / (1 + 0.07/2)^(2*0.5)
PV = $22 million / (1.035)^(1)
PV ≈ $21,233,298

3. PV of $11 million received in one year:
PV = $11 million / (1 + 0.07/2)^(2*1)
PV = $11 million / (1.035)^(2)
PV ≈ $10,583,780

Now, let's add up the present values of each cash flow to find the total present value of the loan:

Total PV = $11 million + $21,233,298 + $10,583,780
Total PV ≈ $42,817,078

Rounded to the nearest dollar, the present value of the loan is approximately $42,817,078.

Based on the provided answer choices, the closest option to the calculated present value is (4) $42,524,656.

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Answer:

s would equal 13

Step-by-step explanation:

Hello there!

So to find the value of s when q=1 we just have to plug in 1 into q into the expression s=5q+8

so when q=1

s=5(1)+8

5*1=5

5+8=13

so we can conclude that when q=1 s=13

Answer:

13

Step-by-step explanation:

s = 5q + 8

s = 5(1) + 8

s = 5 + 8

s = 13

Answer:

hi this is so simple you know use

formula to solve

Answer:

\( \frac{2}{5} \)

Step-by-step explanation:

[(5^-1×3^-1)÷6^-1]

\( = (\frac{1}{5} \times \frac{1}{3}) \div \frac{1}{6} \)

\( = \frac{1}{15} \div \frac{1}{6} \)

\( = \frac{1}{15} \times 6\)

\( = \frac{1}{3 \times 5} \times 3 \times 2\)

\( = \frac{3 \times 2}{3 \times 5} \)

\( = \frac{2}{5} \)

mark as brainliest pls i need it

Answer:

Step-by-step explanation:

5x - 12y = 24

-12y = -5x + 24

12y = 5x - 24

y = 5/12x - 2

slope is 5/12

Answer is J

Answer:

\(y = \frac{ac}{a - b - c} \)

If the power of an engine and the duration of its operation are known, it is possible to calculate the total work done by the engine.

Work is the product of power and time and represents the amount of energy transferred or converted by the engine. By multiplying the power of the engine by the time it operates, you can determine the work done.

In physics, power is defined as the rate at which work is done or energy is transferred. It is measured in units of watts (W). By multiplying the power of an engine, expressed in watts, by the duration of its operation, measured in seconds, you obtain the work done by the engine in joules (J).

This calculation assumes that the power remains constant throughout the operation. The work done by the engine represents the energy output and can be used to evaluate the performance or efficiency of the engine.

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Answer:

jill age is 78 and tim's age is 87

Step-by-step explanation:

let jill age be x then, tim's age is 9+x

by the question,

2(9+x) + 2x = 330

or,18 + 2x + 2x = 330

or,4x = 330-18

or, x = 312÷4

x = 78

9+x= 9+78=87

\({ \qquad{ \sf \green{Answer \downarrow}}}\)

Subtract 16  from both sides of the equation.

\({ \qquad{\longmapsto \sf \red{2x + 16 - 16 = 8 - 16}}}\)

Subtract the numbers

\({ \qquad{\longmapsto \sf \red{2x = 8}}}\)

Divide both sides of the equation by the same term.

\({ \qquad{\longmapsto \sf \green{ \frac{2x}{2} = \frac{ 8}{2} }}}\)

Cancel terms that are in both the numerator and denominator

\({ \qquad{\longmapsto \sf{ \qquad\longrightarrow\quad\sf \dfrac{\cancel{2x}}{\cancel{2} } = }}}\qquad\quad\sf\dfrac{\cancel{ 8}}{\cancel{2}}\)

\({ \qquad{\longmapsto \sf{x = {\qquad{ \sf \pink{ 4}}}}}}\)

\({ \red{ \rule{9cm}{0.1cm}}}\)

The time taken, to the nearest minute, by the element to decay until only 30 grams of it are left is 14 minutes.

An element with an initial mass of 200 gram, decays by 12.6% per minute. We need to find out, to the nearest minute, how long it took for the element to decay until only 30 grams were left.

In exponential decay, a quantity diminishes slowly at first and then rapidly. The exponential decay formula is used to calculate population decay (depreciation), and it may also be used to calculate half-life (the amount of time for the population to become half its size).

Let the initial mass, remaining mass, decay rate, and time taken be represented by the variables M, m, d, and t, respectively. We can form the equation given below.

m = M(1 - d)^t

30 = 200(1 - 0.126)^t

3/20 = (0.874)^t

Take the logarithm on both sides of the equation.

log(3/20) = t × log(0.874)

t = log(3/20)/log(0.874)

t = 14.087

t ≈ 14

Hence, the time taken, to the nearest minute, by the element to decay until only 30 grams of it are left is 14 minutes.

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We can't have a fraction of a pancake, we round down the result to the nearest whole number. Therefore, Jerry can make a maximum of 0 pancakes.

To determine the number of pancakes Jerry can make using the remaining strawberries, we need to calculate the quantity of strawberries left after making the breakfast smoothie.

Jemy initially has 4(1)/(2) cups of strawberries. He uses (3)/(4) cup to make the smoothie, so the amount of strawberries used is:

(3)/(4) * 4(1)/(2) = (3)/(4) * (9)/(2) = (27)/(8) cups of strawberries

To find the remaining strawberries, we subtract the amount used from the initial quantity:

4(1)/(2) - (27)/(8) = (33)/(8) - (27)/(8) = (6)/(8) = (3)/(4) cups

Now, we can determine how many pancakes Jerry can make using the remaining (3)/(4) cups of strawberries. It takes 1(1)/(4) cups of strawberries to make one pancake.

To find the number of pancakes, we divide the remaining strawberries by the amount required for one pancake:

(3)/(4) / 1(1)/(4) = (3)/(4) * (4)/(5) = (3)/(5) = 0.6

Hence, Jerry can make 0 pancakes using the remaining strawberries.

It's worth noting that the result indicates that the remaining quantity of strawberries is not sufficient to make a complete pancake. If Jerry wants to make at least one pancake, he would need to have at least 1(1)/(4) cups of strawberries remaining.

Keep in mind that the calculations are based on the given quantities and assumptions. If the available quantities change or there are additional factors to consider, such as the availability of other ingredients or recipe variations, the number of pancakes that can be made may differ.

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Create a frequency distribution with 10 intervals for 60 cases that range in score from 4 to 84, each interval will have an approximate width of 8 units.

To determine the width of each interval in a frequency distribution, we need to calculate the range of the data and divide it by the desired number of intervals.

Given that the scores range from 4 to 84, the range of the data is 84 - 4 = 80 units.

To distribute these 80 units into 10 intervals, we divide the range by the number of intervals:

Interval width = Range / Number of Intervals

Interval width = 80 / 10 = 8 units

Therefore, each interval in the frequency distribution will have an approximate width of 8 units.

In practice, it's important to note that the width of intervals can be adjusted slightly depending on the specific requirements or characteristics of the data. It's also worth considering whether the interval width provides an appropriate level of detail and captures the variation in the data effectively.

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Step-by-step explanation:

It looks like you have provided the recursive formula for a sequence, with the initial condition of A(1) = 5/3.

To find the values of the sequence, we can use the recursion formula, which tells us that each term in the sequence is equal to the previous term multiplied by x-9. We can start by finding A(2), which will be:

A(2) = A(1) x (x-9)

A(2) = (5/3) x (x-9)

We can continue this process to find the next terms in the sequence. We can express A(3) in terms of A(2), and then A(4) in terms of A(3), and so on. Here is the general expression for A(n):

A(n) = (5/3) x (x-9)^{n-1}

So, given any value of x, we can use this formula to find the nth term in the sequence.

For example, if x=2, we can find the first few terms of the sequence:

A(1) = 5/3

A(2) = (5/3) x (2-9) = -15

A(3) = (5/3) x (2-9)^2 = 135/4

A(4) = (5/3) x (2-9)^3 = -6075/8

And so on.

Answer:

Step-by-step explanation:

The average velocities for the given time periods has been calculated and the instantaneous velocity when t = 2 is -24 ft/s.

To find the average velocity for the given time periods, we need to calculate the change in position divided by the change in time. The formula for average velocity is:

Average Velocity = (Δy) / (Δt)

For the time period of 0.5 seconds:

Substituting t = 2 and t = 2.5 into the equation \(y = 40t - 16t^{2}\), we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\)

\(y2 = 40(2.5) - 16(2.5^2) = 100 - 100 = 0 ft\)

Δy = y2 - y1 = 0 - 16 = -16 ft

Δt = 0.5 seconds

Average Velocity = (Δy) / (Δt) = (-16 ft) / (0.5 s) = -32 ft/s

For the time period of 0.1 seconds:

Substituting t = 2 and t = 2.1, we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\\ y2 = 40(2.1) - 16(2.1^{2}) = 84 - 72.24 = 11.76 ft\)

Δy = y2 - y1 = 11.76 - 16 = -4.24 ft

Δt = 0.1 seconds

Average Velocity = (Δy) / (Δt) = (-4.24 ft) / (0.1 s) = -42.4 ft/s

For the time period of 0.05 seconds:

Substituting t = 2 and t = 2.05, we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\\ y2 = 40(2.05) - 16(2.05^{2}) = 81 - 68.56 = 12.44 ft\)

Δy = y2 - y1 = 12.44 - 16 = -3.56 ft

Δt = 0.05 seconds

Average Velocity = (Δy) / (Δt) = (-3.56 ft) / (0.05 s) = -71.2 ft/s

For the time period of 0.01 seconds:

Substituting t = 2 and t = 2.01, we have:

\(y1 = 40(2) - 16(2^2) = 80 - 64 = 16 ft\\ y2 = 40(2.01) - 16(2.01^2) = 80.4 - 64.3216 = 16.0784 ft\)

Δy = y2 - y1 = 16.0784 - 16 = 0.0784 ft

Δt = 0.01 seconds

Average Velocity = (Δy) / (Δt) = (0.0784 ft) / (0.01 s) = 7.84 ft/s

To find the instantaneous velocity when t = 2, we need to calculate the derivative of the position function y(t) with respect to t.

Taking the derivative of \(y = 40t - 16t^{2}\) gives us the velocity function v(t):

\($v(t) = \frac{{d}}{{dt}} (40t - 16t^2) = 40 - 32t$\)

Substituting t = 2 into v(t), we have:

v(2) = 40 - 32(2) = 40 - 64 = -24 ft/s

Therefore, the instantaneous velocity when t = 2 is -24 ft/s.

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Answer:

x = 3

Step-by-step explanation:

2(x+4) + 2 = 5x + 1

2x + 8 + 2 = 5x + 1

2x + 10 = 5x + 1

-3x + 10 = 1

-3x = -9

x = 3

To solve for x, we need to simplify the equation and isolate the variable. Let's proceed with the given equation:

2(x + 4) + 2 = 5x + 1

First, distribute the 2 to the terms inside the parentheses:

2x + 8 + 2 = 5x + 1

Combine like terms on the left side:

2x + 10 = 5x + 1

Next, let's move all terms containing x to one side of the equation and the constant terms to the other side. We can do this by subtracting 2x from both sides:

2x - 2x + 10 = 5x - 2x + 1

Simplifying further:

10 = 3x + 1

To isolate the x term, subtract 1 from both sides:

10 - 1 = 3x + 1 - 1

9 = 3x

Finally, divide both sides of the equation by 3 to solve for x:

9/3 = 3x/3

3 = ×

Therefore, the solution to the equation is x = 3.

The angles for the complementary angles are 42° and 48°.

Complementary angles are the angles that have a value equal to 90°.

Since one angle is 6 degress less than the other angle. This will be x and x + 6.

Therefore, we'll equate them to 90°.

x + x + 6 = 90°

2x + 6 = 90°

2x = 90 - 6

2x = 84

Divide

x = 84 / 2

x = 42

x + 6 = 42 + 6 = 48

The angle are 42 and 48°.

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The equivalent expression of the rational exponent ∛a² is \((a)^{\frac{2}{3}\).

Rational exponents are exponents that are fractions, where the numerator is a power and the denominator is a root.

So rational exponents (fractional exponents) are exponents that are fractions or rational expressions.

To determine the rational exponent equivalent to the expression given, we will apply the power rule of indices as shown below.

The given expression is ;

∛a²

The rational exponent is calculated as follows;

∛a² = \((a)^{\frac{2}{3}\)

Thus, based on exponent power rule, the given expression is equivalent to ∛a² = \((a)^{\frac{2}{3}\)

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The complete question is below:

Find the equivalent expression of the rational exponent ∛a². does anyone know it

Answer:

Step-by-step explanation:

Answer:

\(\boxed{BC = 11.62}\)

Step-by-step explanation:

Tan 54 = \(\frac{opposite}{adjacent}\)

Where opposite = 16, Adjacent = BC

1.376 = \(\frac{16}{BC}\)

BC = 16/1.376

BC = 11.62

Answer:

11.62468045 or 11.6 to 1 decimal place

Step-by-step explanation:

→ We need to utilise trigonometry. The first step would be to list out the formula triangles

Tan = Opposite ÷ Adjacent

Sin =  Opposite ÷ Hypotenuse

Cos = Adjacent ÷ Hypotenuse

→ Now we need to know which triangle to use, we do that by identifying the side or length we are not given in the triangle and then finding a formula without the name of the given side. First let's identify all the sides.

Opposite = AC = 16

Adjacent = BC = We need to find this out

Hypotenuse = AB = No given value

→ Now we look for a formula with hypotenuse

Tan = Opposite ÷ Adjacent

→ The (Tan = Opposite ÷ Adjacent) is the formula we are going to be using. Since we want to find out the adjacent, we have to rearrange to get adjacent as the subject

Adjacent = Opposite ÷ Tan

→ Now we identify the Opposite and the Tan

Opposite = 16

Tan = 54°

Side note ⇒ Sin, cos and tan will always be the angles

→ Substitute in the values in the formula

Adjacent = Opposite ÷ Tan ⇔ Adjacent = 16 ÷ Tan (54) ⇔ Adjacent = 11.6

→ The adjacent is 11.6 to 1 decimal place

Answer:

36m^3

Step-by-step explanation:

El volumen de una prisma rectangulo es ancho*largo*altura, entonces multiplique 3 con 6 y 2.

3m*6m=18m^2

18m^2*2m=36m^3

Si yo te ayudo, da un brainly por favor!

Answer:

36

Step-by-step explanation: