If 1=3

2=3

3=5

4=4

5=4
Then, 6=?


Which number is equivalent to 3^(4)÷3^(2)

​

Answer:

84.823005

Step-by-step explanation:

π6^2=113.09734

(360-90)/360=3/4

3/4* 113.09734=84.823005

Step-by-step explanation:

area of circle=

\(\pi \: r ^{2} \)

22/7×6×6=113.14

=3/4of 113.14

=84.55cm²

Step-by-step explanation:

remember the rules of exponents.

a "minus" sign means 1/...

like 2^-1 = 1/2

and 2^-3 = 2^(3(-1))

so, it is 1/2³ = 1/8.

so, now here in our case

y = 3×(1/2)^-2 = 3×(1/2)^(2(-1)) = 3×((1/2)²)^-1 = 3×(1/4)^-1 =

= 3× 1 / 1/4 = 3×4 = 12

The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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To find the critical value that should be used in constructing the 80% confidence interval for the average amount spent by 8 to 11 year olds on a trip to the mall.

the proper z-score for an 80% confidence interval must first be established. Both a z-table and a z-score calculator may be used for this.Using a z-table, i may search up the value of z such that 80% of the area under the standard normal curve is to the left of z to get the z-score. This number is around 0.84.We can then use this z-score to calculate the 80% confidence interval by taking the sample mean and adding or removing the product of the z-score and the standard error of the mean. The standard error of the mean is computed by dividing the standard deviation by the square root of the sample size.

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Answer:

look at the photo..........

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, BEFORE THE 25% WAS ADDED

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find  15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

A graph of the image of the given triangle, reflected across the y-axis is shown in the image attached below.

In Geometry, a reflection over the y-axis is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of the pre-image of the triangle include the following:

(x, y)                               →              (-x, y)

Coordinate A = (-5, 3)   →  Coordinate A' = (-(-5), 3) = (5, 3).

Coordinate B = (-2, -8)   →  Coordinate B' = (-(-2), -8) = (2, -8).

Coordinate C = (3, -2)   →  Coordinate C' = (-(3), -2) = (-3, -2).

In conclusion, we would use an online graphing calculator to plot the resulting data points as shown in the image attached below.

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The equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution are given below:

a) Rewrite the equation in Standard Form:

To rewrite the equation in standard form, divide the entire equation by x⁴:

dy/dx + 2y = e^(-x)

b) Identify P(x):

In standard form, the coefficient of the y term is 2, which is the function P(x). So, P(x) = 2.

c) Identify Q(x):

In standard form, the right-hand side of the equation is e^(-x), which is the function Q(x). So, Q(x) = e^(-x).

d) Evaluate the Integrating Factor:

The integrating factor (IF) is given by the exponential of the integral of P(x) with respect to x. In this case, the integrating factor is:

IF = e^(∫P(x)dx) = e^(∫2dx) = e^(2x)

e) Solve for the general solution:

Multiply the entire equation by the integrating factor (IF = e^(2x)):

e^(2x) * (dy/dx + 2y) = e^(2x) * e^(-x)

Simplify the left side by applying the product rule of exponents:

(e^(2x) * dy/dx) + 2y * e^(2x) = e^(x)

Notice that the left side is now in the form (f(x)g(x))' = f'(x)g(x) + f(x)g'(x), where f(x) = y and g(x) = e^(2x). Apply the product rule and simplify further:

(d/dx)(y * e^(2x)) = e^(x)

Integrate both sides with respect to x:

∫(d/dx)(y * e^(2x)) dx = ∫e^(x) dx

Integrating the left side gives:

y * e^(2x) = ∫e^(x) dx = e^(x) + C₁, where C₁ is the constant of integration.

Finally, solve for y by dividing both sides by e^(2x):

y = (e^(x) + C₁) / e^(2x)

This is the general solution to the given differential equation using the Integrating Factor Method.

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Answer:

It's definitely C

Step-by-step explanation:

Boston is 35 degrees as well but the lowest temperature of Seattle is 45

aAnswer:

Step-by-step explanation:

Answer:

i would do c because u are about 2 look at it with a graph and do y2-y1/x2-x1 with the length times height but it the other 2 u would just basically multiply the 2 numbers

Step-by-step explanation:

The population includes the sample. Therefore, only some of the variables—not all—are used when we calculate central tendency or spread values.

What does the standard deviation of the sample mean?

According to question

    The sample may not be a good representation of the population due to various biases that could have been introduced during sample calculation, such as self-selection and non-response.

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Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

Answer:

option 2 is correct-three and one fourth + 2x ≥ 6.

Answer:

2x<10

Step-by-step explanation:

Try to figure it out from there

Answer:

\(x < 5\)

Look at attachment for graph.

Step-by-step explanation:

Solving the inequality just has us isolate the x value.

\(-9 + 2x < 1\)

Add 9 to both sides to cancel out -9

\(2x < 10\)

Finally, divide both sides by 2 to get rid of the 2 on the x.

\(x < 5\)

To graph this, you will just add an open circle on 5 and shade every number to the left of it.

A tire that rotates 720 times per minute will rotate 12 times per second (720/60 = 12).

So, the tire will make 4 rotations (12 x 1/3) in 1/3 seconds.A point on the edge of the tire will move a distance equal to the circumference of the tire in one rotation.

The formula to calculate the circumference is 2πr, where r is the radius of the tire.

Therefore, the distance moved by a point on the edge of the tire in one rotation is given by 2πr.

In four rotations, the point will move 4 times the distance moved in one rotation.

So, the distance moved by the point in 1/3 seconds is given by:

4 x 2πr = 8πr

Therefore, the point on the edge of the tire moves 8πr in 1/3 seconds. To find the distance moved in degrees,

we use the formula:1 revolution = 360 degrees

Thus, in one revolution, the point on the edge of the tire moves 360 degrees.

In four revolutions (12 x 1/3), the point on the edge of the tire moves:

4 revolutions x 360 degrees/revolution = 1440 degrees

Therefore, the point on the edge of the tire moves 1440 degrees in 1/3 seconds.

Given that the tire rotates 720 times per minute.

So, it will rotate 12 times per second (720/60 = 12).

Therefore, in 1/3 seconds, it will make 4 rotations (12 x 1/3).

In one rotation, a point on the edge of the tire will move a distance equal to the circumference of the tire which is given by 2πr, where r is the radius of the tire.

So, the distance moved by the point in one rotation is 2πr.

Therefore, in four rotations, the point will move 4 times the distance moved in one rotation which is equal to 4 x 2πr = 8πr

In order to find the distance moved by the point in degrees, we use the formula:

1 revolution = 360 degrees.

Thus, in one revolution, the point on the edge of the tire moves 360 degrees.

In four revolutions (12 x 1/3),

the point on the edge of the tire moves:4 revolutions x 360 degrees/revolution = 1440 degrees

Therefore, the point on the edge of the tire moves 1440 degrees in 1/3 seconds.

The point on the edge of the tire moves 8πr in 1/3 seconds. Also, it moves 1440 degrees in 1/3 seconds.

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(-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²)  is the combined terms of the given expression.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given terms are

⇒  -5y³ + 3y³ + 5x³ - 3y³ + x³ -2y²  + 3y²

Combine all y³ terms

-(5y³ + 3y³ -  3y³)

Combine all  x³ terms

(5x³ + x³)

Combine all y² terms

( -2y² + 3y²)

Add all together (-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²)  is the combined likely terms.

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To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication

Given data ,

Let the numbers be represented by the expression A

Now , the value of A is

A = √2 × 3√5

First, you can simplify each square root:

√2 = 1.4142 (rounded to 4 decimal places)

3√5 = 5.1962 (rounded to 4 decimal places)

Next, you can multiply the two simplified square roots and the whole number:

√2 × 3√5 = 1.4142 × 5.1962 × 3

= 22.3607 × 3

= 67.0821

Hence , the expression is A = √2 × 3√5 = 67.0821

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This statement is false.

A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence. The length of the confidence interval is determined by the sample size, the level of confidence, and the variability of the data.

When the sample size increases, the standard error of the mean decreases, which means that the estimate of the population mean becomes more precise. This increased precision results in a narrower confidence interval. Conversely, when the sample size decreases, the standard error of the mean increases, which leads to a wider confidence interval.

Therefore, the statement is false and it is important to recognize that increasing the sample size generally leads to a narrower confidence interval for the population mean.

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Answer:

30

Step-by-step explanation:

I search it up

The amount invested in each mutual fund is $400 and $1200 respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 10 and 8x − 4y = 2

Let represent the amount the first fund get by x and the amount the second fund get by y.

Therefore x+y = 1600 equation 1

and 9/100 × x + 4/100 × y = 84

9x/100 + 4x/100 = 84

multiply through by 100

9x + 4x = 8400 equation 2

using elimination method

9x+ 9y = 14400 equation 3

9x + 4y = 8400 equation 4

subtract equation 4 from 3

5y = 6000

divide both sides by 5

y = 6000/5

y = $1200

substitute 1200 for y in equation 1

1200+x = 1600

x = 1600-1200

x = 400

Therefore the first fund will get $400 and the second fund will get $1200

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Answer:

0.65c + 0.95h

Step-by-step explanation:

For every 'c' pieces of candy it will cost 0.65

For every 'h' bag of chips it will cost 0.95.

Answer:

C. Graph Z is the correct answer

Step-by-step explanation:

It touches 0,3 and the right line is going towards infinite positive x’s

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The exponent function of the graph will be W.  Then the correct option is D.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ + c

Where c is the intercept.

Let the leading coefficient will be 1.

Then the equation will be

y = (b)ˣ + c

The exponent function has a y-intercept at (0, 3).

Then the exponent function is given as,

y = (b)ˣ + 2

Some points regarding exponent function.

The exponent function of the graph will be W.

Then the correct option is D.

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Answer: -1/28 gallon

Step-by-step explanation:

divide both numbers by 4 since its 1/4 a minute (-5/7 ÷ 4 and 4/7 ÷ 4) then add them, (-5/28 + 4/28= -1/28)

Answer: -1/28 gallon

Step-by-step explanation:

Answer;

Reject the null hypothesis

Explanation;

Here, we are having a situation in which the level of significance is less than the p-value

In this type of case, what we simply do is to reject the null hypothesis and accept the alternative hypothesis

Hence, simply put, we are going to reject the nulll hypothesis

Answer:

1. Median:70, Range:12, IQR: 8

2. Median: 59, Range: 48, IQR: 31

Step-by-step explanation:

Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.

The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.

Hope this helps.

Answer:

Substitute the values given for f(x) and g(x), in 1. they say f(x)=4x and g(x)=1-x

and basically just substitute them for the functions themselves.

4x+1-x

add like terms!

4x-x = 3x!

3x+1 is your simplified answer, since it is an expression it cannot be simplified any further.

Answer:

0.041

Step-by-step explanation:

converting percentage to decimal

owes 4.1%

4.1/100×4 weeks pay1

Answer:

b. g(x) = 12x+10

c. x = 9/2

Step-by-step explanation:

b. g(2x+1)=6x+4

   g(2x+1) = 6(2x+1)+4

   g(2x+1) = 12x+6+4

   g(2x+1) = 12x+10

    g(x) = 12x+10

c. g(x) = 64

   12x+10 = 64

     12x = 54

      x = 54/12

      x = 9/2

Answer:

\( SJ = 6 \)

Step-by-step explanation:

Given that J is the center of the ∆SUZ, therefore, J is the centroid of the ∆.

According to the centroid theorem, thus:

Centroid J will divide VS into VJ and SJ into the ratio of 1 : 2.

This means, SJ is twice the length of VJ.

Therefore, given that VJ = 3, thus:

SJ = 2(3) = 6.

SJ = 6 units.