Why do you think writing is an effective way to convince others​

Answer:  - 17/20

or in decimal form -0.85

hope this helps

Step-by-step explanation:

Answer: it should be 67.5

Step-by-step explanation:

8% of $50 is 4 that gets you $54, and 25 percent of 54 is 13.5 that would be the 25% tip add the two together to get $67.5

Answer:

B.) 90.000

Step-by-step explanation:

Your pre-selected answer choice is correct. The 9 is in the Ten Thousands place.

Answer:

The first equation should be multiplied by - 7 and the second equation by 3

Step-by-step explanation:

Indeed, let s multiply the first equation by -7

-7*9x-7*3y=7*18

and the second one by 3

3*8x+3*7y=3*10

when we add both the terms in y will be -7*3y+3*7y= 0

and then we can solve on x

hope this helps

Answer:

C. The first equation should be multiplied by - 7 and the second equation by 3

Step-by-step explanation:

Answer:

\(W_{max}=320m\\ L_{max}=160m\)

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \(\implies \) 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

\(A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2\)

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

Since our function is A(L)=640L-2L², we get

plug in the value of a and b into the first formula:

\(L_{max}=-(640)/2(-2)\implies 160 \)

\(A(L)_{max}=640(160)-2(160)^2\implies 51200 \)

hence,the dimensions of the pen that will maximize the area are L=160m and W=51200/160=320m

and we're done!

Answer:

width (x) = 160 m

length (y) = 320 m

(refer to the attached diagram)

Step-by-step explanation:

**see attached diagram**

Let x = width of the pig pen

Let y = length of the pig pen

(where length > width)

Given:

⇒ 2x + y = 640 m

⇒ y = 640 - 2x

Area of the pig pen = width × length

⇒ f(x) = xy

Substituting y for y = 640 - 2x:

⇒ f(x) = x(640 - 2x)

          = 640x - 2x²

Now we have a function for the area of the pig pen, to find the value of x that will maximize the area, differentiate the function:

⇒ f'(x) = 640 - 4x

Set it to zero and solve for x:

⇒ f'(x) = 0

⇒ 640 - 4x = 0

⇒ 640 = 4x

⇒ x = 160

Substitute the found value of x into y = 640 - 2x to find the length:

⇒ y = 640 - 2(160) = 320

Therefore, the dimensions of the pen that will maximize the area are:

Answer:

it is correct I think it's right

Step-by-step explanation:

ANSWER

Linear function

EXPLANATION

6) To solve this, we have to observe the given data.

Notice that as each term comes, the circles are dropped by a specific factor:

Term 1: 16

Term 2: 8

Term 3: 4

Term 4: 2

Therefore, we see that the number of circles reduces by a certain factor which is ¹/ ₂.

Hence, there is a proportional relationship between the term and the number of circles.

Therefore, a proportional function will be used to model the pattern:

This is also the form of a linear function without the constant. Hence, the answer is a linear function.

Calista's grade on her last assignment is 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

For more such questions on grades

https://brainly.com/question/29163211

#SPJ8

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

Learn more about mean here: https://brainly.com/question/20118982

#SPJ1

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

For more such questions on height, click on:

https://brainly.com/question/28122539

#SPJ8

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

For more questions on equilateral triangle:

https://brainly.com/question/17264112

#SPJ8

Answer:

255

Step-by-step explanation:

use calculator

Answer:

255

Step-by-step explanation:

∑ᵢ₌₁⁸ 2ⁱ⁻¹

Using brute force method:

S = 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷

S = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128

S = 255

Using formula:

S = a₁ (1 − rⁿ) / (1 − r)

S = 1 (1 − 2⁸) / (1 − 2)

S = 255

All u have to do is use the Traingle Inequality theorem, which states that the sum of two sides lenghts of a triangle is always greater than the third side. if this is true for all three combinations of added side lengths then you will have a triangle

Hope this helps :>

Answer:

3, 5, 7

Step-by-step explanation:

given 3 sides, for a triangle to be formed, then the sum of any 2 sides must be greater than the third side.

4 , 4 , 8

4 + 4 = 8 , not greater than 8, so does not form a triangle

1 , 2 , 3

1 + 2 = 3 , not greater than 3, so does not form a triangle

3 , 9 , 14

3 + 9 = 12 < 14 , so does not form a triangle

3 , 5 , 7

3 + 5 = 8 > 7

3 + 7 = 10 > 5

5 + 7 = 12 > 3

condition is satisfied , so will form a triangle

Answer:

false

Step-by-step explanation:

standard form cannot contain fractions or decimals

Answer:

39 pages

Step-by-step explanation:

If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages

An equation which you can use to represent the relationship shown in the table is y = 4.5x.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Based on the information provided in the table (see attachment), we can logically deduce the following data points on the line:

Points on x-axis = (4, 5).

Points on y-axis = (18.0, 22.5).

At point (4, 18.0), a linear equation of this line in slope-intercept form can be calculated by using the point-slope form as follows:

y - 18.0 = (22.5 - 18.0)/(5 - 4)(x - 4)

y - 18.0 = 4.5(x - 4)

y = 4.5x - 18 + 18.0

y = 4.5x.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

Issac's dog weighs 19 pounds

Step-by-step explanation:

Let x be Issac's dog's weight

I hope this helps!

Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

Answer:

Step-by-step explanation:

Here we use the SUM FORMULA:  sin(a + b) = sin a cos b + cos a sin b

sin(A + B) = sin A*cos B + cos A*sin B.  We are not given cos A or sin B and so must find them using the Pythagorean Theorem x^2 + y^2 = z^2.

Looking at sin A = 8/17, we see that the "opposite side" is 8 and the "hypotenuse" is 17.  Then (adjacent side) = √(17² - 8²) = 15; that is, the side adjacent to Angle A is 15.  Thus, cos A = 15/17 and sin A = 8/17.

We find sin B similarly.  cos B = (side adjacent to B)/25  =  24/25.  Therefore the side opposite B is √(25² - 24²) = 7.  Thus, sin B = 7/25 and cos B = 24/25.

Then sin (A + B) = sin A*cos B + cos A*sin B

                           = (8/17)*(24/25) + (15/17)(7/25)

Here there are two products of fractions.  This product (above) can be rewritten as

                                                    8(24) + 15(7)             (3)(64) + (3)(5)(7)

= sin A*cos B + cos A*sin B = --------------------------- = --------------------------

                                                            17(25)                         17(25)

Let L be the amount of gas Angela has at distance d. At d=0 she has 26, and we know that every 48 miles the gas decreases 2 gallons, so the rate of decrease of gas per mile is

Then, the linear equation that models this problem is

(I used the minus sign since the amount decreases).

The gas will run out of gas whe she has driven

Then the graph that best fits the model is number Z. And the answer is D.

use real numbers for the proof

3^3 times 3^2 =

27 times 9 =

243 which is

3^5

Based on an equation, the amount that Isabel spent on bread was $2.42.

To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.

The amount Isabel spent on vegetables = $15.91

The amount she spent on fruits = $11.22

Let the amount she spent on bread = x

The total amount she went with = $30 (3 x $10)

The change she got after giving the cashier $30 = $0.45

The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)

x = $2.42 ($29.55 - $15.91 - $11.22)

Check:

Vegetables = $15.91

Fruits = $11.22

Bread = $2.42

Total expenses = $29.55

Learn more about equations at https://brainly.com/question/29174899.

#SPJ1

Answer:56.077

Step-by-step explanation:

Answer: The answer is 56.077

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

Read more about Opportunity Cost at: https://brainly.com/question/1549591

#SPJ1

Answer:

asymptotically stable.

Step-by-step explanation:

Equilibrium solutions in which solutions that starts near and then moves away from equilibrium solutions are asymptotically unstable. Equilibrium solutions which solutions starts nears and then move towards the equilibrium are asymptotically stable.

Answer:

A

Step-by-step explanation:

angles a and b are congruent or exactly equal in size and shape

Answer:

D . \(\frac{AC}{DE} =\frac{BC}{BE}\)

Explanation:

As AC is congruent to BC, BC is congruent to BE. We can solve them find side length.

To make it easier:

\(\boxed{\frac{bigger .base}{smaller .base} = \frac{bigger .side }{smaller.side}}\)

Using compound interest formula, her balance after retirement is $430797.77

To calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.

First, we'll calculate the balance of her savings account:

Initial deposit: $2000

Interest rate: 1.5%

Monthly contribution: $150

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her savings account after 30 years will be:

2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))

A = $71280.33

Next, we'll calculate the balance of her index fund:

Initial deposit: $1000

Interest rate: 6.8%

Monthly contribution: $300

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her index fund after 30 years will be:

A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))

A = $359517.44

Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.

Her balance = $71280.33 + $359517.44 = $430797.77

Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.

Learn more on compound interest here;

https://brainly.com/question/2455673

#SPJ1

The standard form equation for a line passing through the point (-3, 4) and parallel to the line denoted by y = 1/2x+4 is 2y - x = 11.

The standard form equation

ax + by = c

Here a, b, and c are constants and therefore use the slope-intercept form.

y = mx + c ...... (1)

where m is the slope, b = y-intercept

y = 1/2x + 4

Slope (m) = 1/2

It passes through a line that has points (-3,4)

Let's find c by putting the value of x = -3 and y = 4 in equation (1).

4 = 1/2 (-3) + c

4 = -3/2 + c

c = 4 + 3/2

=> c = (8+3)/2

=> c = 11/2

Therefore,

y = 1/2x + 11/2

y = (x+11)/2

=> 2y - x = 11

2y - x = 11 is the standard form of the line that passes through (-3,4) and is parallel to the line represented by y = 1/2x+4.

To learn more about the line visit: brainly.com/question/17188072

#SPJ1

Answer:

945,420

Step-by-step explanation:

Step-by-step explanation:

3/5 ÷ 4/6

flip the second fraction and turn the division sign into a multiplication sign

3/5×6/4

Now multiply the numerator and denominators

(3×6)/(5×4)= 18/20

Simplify the fraction

(18÷2)/ (20÷2)= 9/10

If you simplify 9/10, you would get 4/5

4/5 is your answer

I hope this helps!!!