what is 6.892 as a fraction

Answer:

Step-by-step explanation:

The change is from 25 years to 63 years according to the graph.

The increase is:

Percent increase:

9514 1404 393

Answer:

  1/9^5

Step-by-step explanation:

  \(\dfrac{9^2}{9^7}=\dfrac{9\cdot 9}{9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9}=\dfrac{1}{9\cdot 9\cdot 9\cdot 9\cdot 9}=\boxed{\dfrac{1}{9^5}}\)

_____

An exponent is an indicator of repeated multiplication. As you can see, factors in the numerator cancel those in the denominator, so the result is the difference of the exponents.

Answer:

5

Step-by-step explanation:

Answer:

c = 4

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

24 = 6c

Step 2: Solve for c

Step 3: Check

Plug in c to verify it's a solution.

Here we see that 24 does indeed equal 24.

∴ c = 4 is a solution of the equation.

Its 40 beucase i think E=D and than you need 180-70-70=40

Answer:

-234

Step-by-step explanation:

Subtracting 275 from 41 would equal -234.

The difference between 41 and 275 is -234.

To find the difference between 41 and 275, we perform subtraction.

Subtraction is the process of finding the difference between two numbers. In this case, we are subtracting 275 from 41, which means we want to find how much smaller 275 is compared to 41.

Let's set up the subtraction:

    41

 - 275

Starting from the rightmost column, we subtract 5 from 1. Since 5 is greater than 1, we borrow 1 from the tens column, making the ones column 11 - 5 = 6. Then, we move to the tens column and subtract 7 from 4, which is not possible without borrowing from the hundreds column. So, we borrow 1 from the hundreds column, making it 3 - 1 = 2. Now, we can subtract 7 from 12 in the tens column, which gives us 5. Finally, we subtract the 2 in the hundreds column from 2, resulting in 0.

The final result is 234, indicating that 275 is 234 units larger than 41. In other words, the difference between 41 and 275 is 234.

Subtraction is an essential arithmetic operation used in various real-life situations, such as calculating changes in quantities, measuring distances, determining differences between values, and more. Understanding subtraction helps us comprehend the relationships between numbers and enables us to solve a wide range of mathematical and practical problems.

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Answer: i think it's 942,480

Step-by-step explanation:

i just multiplied all of the numbers but i'm probably wrong srry

Answer:

7986m^2

Step-by-step explanation:

140-102=38

area of triangle:

(38*66)/2=1254m^2

area of rectangle:

66*102=6732m^2

total area:

1254+6732=7986m^2

Answer:

10

Step-by-step explanation:

4y = 2x + 12

Divide both sides by 4:

y = ½ x + 3

This has a slope of ½ and a y-intercept of 3.

The other line has the same slope and a y-intercept of 30.

So the scale factor is 10.

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

22 Minutes

Step-by-step explanation:

0.50x22=11.

55+11= 66

:))

.38, .37, and .36 are all less than 1

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

Answer:

Total houses = 54

House sold last month = 1/3 * 54 = 18

Remaining houses = 54-18 = 36

Houses sold this month = 5/6* 36 = 30 houses

House left to be sold = 36 - 30 = 6 houses

Answer:

47

Step-by-step explanation: if you're add 6 and 7 you get 13 so just add all the numbers and you get the answer

Answer:

\(113m^{2}\)  

I hope this helps!

Answer:

6.3

Step-by-step explanation:

Answer:

(a) The rock splashes down when h(t) = 0. Set h(t) = 0 and solve for t using quadratic formula.

0 = − 4.9t^2 + 334t + 255

t = -0.75, 68.92

(Throw away the negative answer, since time can't be negative.)

t = 68.92 sec

(b) The rock is at it's peak when the slope of it's trajectory is zero. This trajectory is also the tangent line, so finding when the slope of the tangent line is zero is the goal. To do this, take the derivative of h(t) and set h'(t) = 0.

h'(t) = -9.8t + 334

0 = -9.8t + 334

t = 34.08 sec

Use this time to find the height of the ball h(t), so h(34.08 sec).

h(t) = − 4.9(34.08)^2 + 334(34.08) + 255

h(t) = 5946.6m

Step-by-step explanation:

Answer:

$1.27

Step-by-step explanation:

We know

The tax is 7.5%

7.5% = 0.075

Which of the following was the sales tax Serena had to pay?

We take

16.99 times 0.075 = $1.27

So, the answer is $1.27

Answer: I think it’s A sorrykf I’m wrong

Step-by-step explanation:

The proportion is solved and the height of the tower is H = 117 m

Given data ,

A pole that is 3m tall casts a shadow that is 1.17 m long

And , a nearby tower casts a shadow that is 45.5m long

So , the proportion is given by

Let the height of the tower be H

And , 3 / 1.17 = H / 45.5

On simplifying the equation , we get

Multiply by 45.5 on both sides , we get

H = 116.6667 m

H = 117 m

Hence , the height of the tower is H = 117 m

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Answer: 51

Step-by-step explanation:

Step 1: Replace x in y = 7x + 2 where x = 7.

y = 7(7) + 2.

Step 2: Solve the equation.

y = 49 + 2

y = 51

Answer:

90720ways

Step-by-step explanation:

Permutation has to do with arrangement

First we need to find the number of ways 6 people can be arranged in a row from a group of 10people using the formula

(10-1)P(6-1) = 9P5

9P5= 9!/(9-5)!

9P5 = 9×8×7×6×5×4!/4!

9P5 = 9×8×7×6×5

9P5 = 15,120

Since there is restriction that the bride must be in the picture (the bride is just a person and cam be placed at any point along the row). Hence the number of different ways the bride can be placed is 6 different ways

Hence, the number of ways a photographer at a wedding arrange 6 people in a row from a group of 10 people if the bride must be in the picture is 6×15120 = 90,720

Hence the correct answer is 90720 ways

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²

\(c-3c-2-8=-2c-10\)

Answer:

C−3c−10

Step-by-step explanation:

C+−3c+−2+−8

Subtract 8 from −2 to get −10.

C−3c−10

The critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

The critical value to be used in constructing the 90% confidence interval is 1.645. This is the z-score associated with a 90% confidence level. In other words, this is the value that is 1.645 standard deviations away from the mean. This value is found using the z-table, which contains the probability values for a standard normal distribution.

Therefore, the critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

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Number of milkshake with whipped cream will be 24.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100

Given that;

Whitney's Diner sold 96 milkshakes last week.

25% of the milkshakes had whipped cream on top.

Now,

Total number of milkshake = 96

Milkshakes with whipped cream on top = 25%

Hence, Number of milkshakes with whipped cream on top is;

= 25% of 96

= 25 / 100 x 96

= 96 / 4

= 24

Thus, Number of milkshake with whipped cream will be 24.

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In the given problem, the furniture company should produce 300 bar stools and 50 chairs to maximize their profit, and should not produce any tables.

To maximize profit, the furniture company needs to determine how many units of each product (bar stools, chairs, and tables) they should produce. Let's use x, y, and z to represent the number of bar stools, chairs, and tables respectively.

The objective function to maximize profit is:

Profit = 10x + 25y + 35z

The company has constraints on the amount of labor, wood, and stain available. These constraints can be expressed as follows:

Labor: 1x + 4y + 2z ≤ 700 (the company has 700 hours of labor available each week)

Wood: 8x + 16y + 32z ≤ 3360 (the company has 3360 feet of wood available each week)

Stain: 0.2x + 0.4y + 0.5z ≤ 60 (the company has 60 gallons of stain available each week)

Also, since we cannot produce negative units of any product, we must add the constraint that x, y, and z are all non-negative.

x ≥ 0, y ≥ 0, z ≥ 0

We can now use linear programming techniques to solve this problem. One possible method is the simplex method, which involves converting the problem into an augmented matrix and applying row operations until we obtain the optimal solution.

The optimal solution is:

x = 300 (produce 300 bar stools)

y = 50 (produce 50 chairs)

z = 0 (do not produce any tables)

The maximum profit that the company can earn is:

Profit = 10x + 25y + 35z = 10(300) + 25(50) + 35(0) = $3,250

Therefore, the furniture company should produce 300 bar stools and 50 chairs to maximize their profit, and should not produce any tables.

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The total interest paid on the loan repayable over three months weekly at 2.85% per week is $3,584.96.

The total interest can be computed using an online finance calculator.

The result is then added to the late payment fees.  The default payment fee is the product of $600 and 5.

N (# of periods) = 14 weeks (3 x 4 + 2)

I/Y (Interest per year) = 2.85%

PV (Present Value) = $50,000

PMT (Periodic Payment) = $4,000

Results:

Sum of all periodic payments = $56,000.00

Total Interest = $584.96

Late payment charge = $3,000 ($600 x 5)

Total interest and late charge = $3,584.96

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Assume that the borrower repays $4,000 weekly.