Convert 17/20 into a decimal form.Round any repeating decimals to two digits (hundredths)z help​

The width of the border is w = 9 inches.

Given data ,

To find the width of the border, we need to subtract the dimensions of the actual photo from the dimensions of the piece of paper.

Given that the photo covers 80 square inches and is printed on an 11-inch by 13-inch piece of paper, we can set up the following equation:

(11 - 2x) (13 - 2x) = 80

Here, 'x' represents the width of the border. By subtracting 2x from each side, we eliminate the border width from the dimensions of the paper.

Expanding the equation, we have:

143 - 26x - 22x + 4x² = 80

Rearranging and simplifying:

4x² - 48x + 63 = 0

To solve for 'x,' we can either factor or use the quadratic formula. Factoring might not yield integer solutions, so we'll use the quadratic formula:

x = (-(-48) ± √((-48)^2 - 4 * 4 * 63)) / (2 * 4)

Simplifying further:

x = (48 ± √(2304 - 1008)) / 8

x = (48 ± √1296) / 8

x = (48 ± 36) / 8

x = 9 inches

Hence , the width of the border is 9 inches.

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The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.

What is a unit?

Units are the instruments used to measure and compare various things. When all measuring units are the same, comparison is simple. Various units can be categorised based on their intended usage. A couple of the units are classed as follows:

The seven SI basic units (The International System of Units (SI), sometimes known as the metric system, is the international measurement standard) are as follows:

Length - meter (m)

Time - second (s)

Amount of substance - mole (mole)

Electric current - ampere (A)

Temperature - kelvin (K)

Luminous intensity - candela (cd)

Mass - kilogram (kg)

Now,

As we have seen in a ruler from any two numbers 1 and 2 or 4 and 5

there are always 10 vertical lines which represents a millimeter

and 10 lines means 10 millimeter.

hence,

          The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.

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Answer: 14085 m^3.

Step-by-step explanation: To find the volume of a right rectangular prism, you need to multiply the length, width, and height.  The equation is below:

l x w x h = V where l is the length, w is the width, h is the height, and V is the volume of the right rectangular prism.

The length of this recycling bin is 9 meters, the width is 5 meters, and the height is 313 meters.  Now that we know the length, width, and height, we can substitute the variables with the information we've gathered.

9 x 5 x 313 = 14085.

Therefore, 14085 m^3 is your answer.

Have a great day! :)

The formula the capital gains yield = (pt 1 â pt)/dt is false.

The proper equation for  capital gains yield

return on investment = (pt - pt-1)/pt-1

where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.

 This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource. 

The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment.  yield = (pt 1 â pt)/dt is false.

The proper equation for return on investment is:

return on investment = (pt - pt-1)/pt-1

where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.

 This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource. 

The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment. 

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The 2 × 2 matrix such that [−6653] ⎡⎣⎢⎢⎢⎢ ⎤⎦⎥⎥⎥⎥ =[1001] is ⎡⎣−6653/1001 6653/1001⎤⎦

Given equation [−6653] ⎡⎣⎢⎢⎢⎢ ⎤⎦⎥⎥⎥⎥ =[1001] is a matrix equation.

Let A be a 2 × 2 matrix, then [a b][c d] =  ad − bc.

The matrix equation can be written as [a b][c d] = [−6653] [c d][−b a]   [1001]

Multiply both the matrices to find the 2x2 matrix:

[a b][c d] = ⎡⎣⎢⎢⎢⎢ −6653d 6653c ⎤⎦⎥⎥⎥⎥ =⎡⎣⎢⎢⎢⎢ 1001a 1001b ⎤⎦⎥⎥⎥⎥

We can equate the corresponding entries on both sides of the equation, and get two equations:

−6653d = 1001a   and   6653c = 1001b

Solving for a and b in terms of c and d and we have a = −6653d/1001 and b = 6653c/1001.

The matrix A is:

⎡⎣−6653d/1001 6653c/1001⎤⎦ .

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Answer:

Step-by-step explanation:

eq. of line parallel to 4x+3y=7 is

4x+3y=c ( a constant)

∵ it passes through (6,7)

4(6)+3(7)=a

24+21=a

a=45

reqd. line is

4x+3y=45

julia wants to purchase a pair of headphones that are on sale for $42.79. the sales tax rate in her county is 6%. then Julia have to pay $2.57 as sales tax on purchase of headphones.

Given,

The cost of headphones which Julia wants to purchase on sale = $ 42.79

The sales tax in Julia's country = 6%

We have to calculate the amount of sales tax Julia will pay on the purchase:

That is,

Sales Tax Value = Percentage of sales tax × Price of headphones

Sales Tax Value = (6 / 100) × 42.79

Sales Tax Value = 0.06 × 42.79

Sales Tax Value = 2.5674

Sales Tax Value ≈ 2.57

Therefore, Julia have to pay $2.57 as sales tax on purchase of headphones.

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

The value of x is 36 degrees which states that two angles are supplementary.

The given problem can be solved using the formula for supplementary angles,  (that is, their sum is 180 degrees) if their measures add to 180 degrees.

In this case, we are given two angles: (x + 35) degrees and (3x + 1) degrees. We know that the sum of these two angles must be 180 degrees, so:

x + 35 + 3x + 1 = 180

4x + 36 = 180

4x = 144

x = 36

Therefore, the value of x is 36 degrees.

To calculate this, we first added the two angles together to get 4x + 36 = 180. We then subtracted 36 from both sides of the equation to get 4x = 144. Finally, we divided each side of the equation by 4 to get x = 36.

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The value of x is 17

In this question we ahve been given that two lines intersects each other at one point, making an angle of measure (x+35) degrees whose opposite angle measures (3x+1) degrees.

We need to find the value of x.

We know that opposite angles are the angles that are opposite each other when two lines intersect each other at one point.

Also the opposite angles are congruent means they have the same measurement.

So, x + 35 = 3x + 1

We solve above equation to find x.

x + 35 = 3x + 1

x + 35 - 1 = 3x + 1 - 1

x + 34 -x = 3x - x

34 = 2x

2x/2 = 34/2

x = 17

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Answer:

56.25 minutes

Step-by-step explanation:

1 mile is 6.25 minutes

9 miles is _____?

6.25 minutes x 9 miles =

56.25 minutes

Find Unit Rate to help solve

Hope this helps :)

An exponential model for the given data can be represented by the equation y = 34.9 * (1.9)^x, where x represents the independent variable and y represents the dependent variable.

To create an exponential model, we need to find a relationship between the independent variable x and the dependent variable y that follows an exponential pattern. Looking at the given data, we can observe that as the value of x increases, the corresponding values of y also increase rapidly.

The exponential model equation y = 34.9 * (1.9)^x represents this relationship. The base of the exponent is 1.9, and the coefficient 34.9 determines the overall scale of the exponential growth. As x increases, the exponential term (1.9)^x results in an exponential growth factor, causing y to increase rapidly.

By plugging in different values of x into the equation, we can calculate the corresponding values of y. This exponential model provides an estimate of y based on the given data and assumes that the relationship between x and y follows an exponential pattern.

In summary, the exponential model for the given data is represented by the equation y = 34.9 * (1.9)^x, where x represents the independent variable and y represents the dependent variable.

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Answer:

Hi and ty for being so generous!

Step-by-step explanation:

I am getting an airbrushing kit for Christmas!!

Have a great day,Youre amazing <3

Answer:

i'm getting clothes and a trip on an Alaska cruise

Step-by-step explanation:

The equation that represents the table, in slope-intercept form, is: y = -2x + 11.

The slope-intercept form of an equation that represents a line is expressed as y = mx + b, where:

Using two pairs of values from the table, (6, -1) and (9, -7):

Slope (m) = (-7 -(-1)) / (9 - 6)

Slope (m) = -6/3

Slope (m) = -2.

Find the y-intercept, b, by substituting m = -2 and (x, y) = (6, -1) into y = mx + b:

-1 = -2(6) + b

-1 = -12 + b

-1 + 12 = b

b = 11

To write the equation, substitute m = -2 and b = 11 into y = mx + b:

y = -2x + 11

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Answer:

Hypotenuse would be 14

Step-by-step explanation:

Answer with a step-by-step explanation:

Let us write answers to the questions using the given Venn diagram

1) 4 students

2) 3 students

3) 3 students

4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)

- More explanation is attached to the picture -

The area of the waxed hardwood floor is 35/9 yards square.

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: Total area of the floor = 4³/₈ yards² and he waxed 8/9 part of the total area.

Now 8/9 of the total area is

Waxed area= 8/9×35/8   ( 4³/₈ =35/8)

                  =35/9

Thus the area in square units that Jahdiel waxed is 35/9 yards²

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Answer: The first three odd prime numbers are 3, 5, and 7. A number is a multiple of two but not three of these prime numbers if it is divisible by two of them, but not the third.

To find the number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers, we can count the number of multiples of each pair of prime numbers and subtract the number of multiples of all three prime numbers.

There are 200 multiples of 3 and 5 between 1000 and 2000 (200 numbers for each, for a total of 200 * 2 = 400). There are 133 multiples of 3 and 7 between 1000 and 2000 (133 numbers for each, for a total of 133 * 2 = 266). There are 80 multiples of 5 and 7 between 1000 and 2000 (80 numbers for each, for a total of 80 * 2 = 160). There are no multiples of all three prime numbers between 1000 and 2000.

Thus, the total number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers is 400 + 266 + 160 = 826.

Step-by-step explanation:

1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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Using the relation between velocity, distance and time, it is found that:

Velocity is distance divided by time, that is:

\(v = \frac{d}{t}\)

A plane traveling with the wind travels 900 miles in 5 hours, hence:

\(v_a + v_w = \frac{900}{5}\)

\(v_a + v_w = 180\)

The return trip is against the wind and takes 9 hours, hence:

\(v_a - v_w = \frac{900}{9}\)

\(v_a - v_w = 100\)

From the first equation, we have that:

\(v_w = 180 - v_a{/tex]

Replacing on the second:

\(v_a - v_w = 100\)

\(v_a - 180 + v_a = 100\)

\(2v_a = 280\)

\(v_a = 140\)

\(v_w = 180 - 140 = 40{/tex]

Hence:

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The net force on the helicopter at t=2.6 s is 937.5i^−3600k^ N. The acceleration of a helicopter at a given time is calculated from the second derivative of the position-time function. The force on an object can be calculated using the equation F = ma, where F is force, m is mass, and a is acceleration.

Therefore, we can solve for F using the mass and acceleration values. Here are the steps on how to find the net force on the helicopter at t=2.6 s, with the given mass and position function:

Firstly, let's calculate the acceleration of the helicopter by finding the second derivative of its position function:

r(t)=(0.020t3)i^+(2.2t)j^−(0.060t2)k^r'(t)=(0.060t2)i^+2.2j^−0.120tk^r''(t)=0.120ti^−0.120k^

Since we want to find the acceleration at t=2.6 s, we plug that value into the acceleration equation:

r''(2.6) = (0.120)(2.6)i^−0.120k^=0.312i^−0.120k^

Now we can calculate the net force using the formula F = ma, where m = 3×104 kg and a = r''(2.6).

Therefore, Fnet=(3×104 kg)(0.312i^−0.120k^)=937.5i^−3600k^ N

Thus, the net force on the helicopter at t=2.6 s is 937.5i^−3600k^ N.

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Answer:

D. 1.23, (or D. 1.32?)

Step-by-step explanation:

from 1.2 to 2.3 the decimal points are:

1.2 - 1.3 - 1.4 - 1.5 - 1.6 - 1.7 - 1.8 - 1.9 - 2.0 - 2.1 - 2.2 - 2.3

A. cant work because it comes before 1.2

B. cant work because it also comes before 1.2

C. Cant work because all though its in the ones place, the decimal is too small

D. Can work because it comes after 1.2, and before 2.3 Same thing for the other letter D you put, because it is between the numbers 1.2 and 2.3

Answer:

three (3).

Step-by-step explanation:

H=O+A

c^2=5^2+12^2

c^2=25+144

c^2=169

c=√169

c=13

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's calculate the value of c using Pythagoras theorem ~

\(\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} \)

\(\qquad \sf  \dashrightarrow \: c {}^{2} = {5}^{2} + {12}^{2} \)

\(\qquad \sf  \dashrightarrow \: c = \sqrt{25 + 144} \)

\(\qquad \sf  \dashrightarrow \: c = \sqrt{169} \)

\(\qquad \sf  \dashrightarrow \: c = 13 \: units\)

The given third-order linear equation is (t - 2t^2)y' - 4y'' = -2t with y(3) = -2, y'(3) = 2, y''(3) = -3.

We can write this equation as a system of first-order linear equations with initial values by introducing three new variables x_1, x_2, and x_3 such that:

x_1 = y

x_2 = y'

x_3 = y''

with initial values x_1(3) = -2, x_2(3) = 2, x_3(3) = -3.

The resulting system of equations is:

x_1' = x_2

x_2' = x_3

x_3' = (2t^2 - t)x_2 - 4x_3 + 2t

This system can be solved numerically for the unknown functions x_1, x_2, and x_3 with the initial conditions given.

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the solution to the equation \(4(1.7)^(x) = 7(1.08)^(x)\)  is approximately

x = 8.732.

The other technique to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to another number. A logarithm performs exponentiation's exact opposite function. For instance, log10 100 = 2 if 102 = 100.

from the question:

By separating the variable on one side of the equation and then taking the logarithm of both sides, we can find the value of x.

Starting with:

\(4(1.7)^(^x^) = 7(1.08)^(^x^)\)

Dividing both sides by \(7(1.08)^(x)\), we get:

\((4/7)(1.7)^(^x^) = (1.08)^(^x^)\)

Taking the logarithm of both sides (with any base), we get:

\(log[(4/7)(1.7)^(^x^)] = log[(1.08)^(^x^)]\)

Using the properties of logarithms, we can simplify this to:

log(4/7) + xlog(1.7) = xlog(1.08)

Subtracting x*log(1.7) from both sides, we get:

log(4/7) = xlog(1.08) - xlog(1.7)

Factoring out x, we get:

log(4/7) = x*[log(1.08) - log(1.7)]

Dividing both sides by [log(1.08) - log(1.7)], we get:

x = log(4/7) / [log(1.08) - log(1.7)]

We can evaluate this statement with a calculator and obtain:

x ≈ 8.732

As a result, x = 8.732 is about the answer to the equation 4(1.7)(x) = 7(1.08)(x).

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Answer:

Step-by-step explanation:

the 1 one is the right one

Answer:

A. The afternoon temperature was 5 degrees above the night temperature

Step-by-step explanation:

have a nice day

Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

By organizing countless data points into comprehensible ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an understandable visual. So Histograms based on data on housing, prices and salaries typically are skewed to the right.

A histogram in statistics is a graphic depiction of the data distribution. The histogram is shown as a collection of rectangles that are next to one another, where each bar represents a different type of data.

A branch of mathematics called statistics is used in many different fields. Frequency is the term for how often numbers appear in statistical data; it can be shown as a table and is known as a frequency distribution.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis.

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Answer:

A

Step-by-step explanation:

Since we know the value of the rational numbers, we can easily determine their order, either from least to greatest or from greatest to least. If it's written as a fraction, you can rewrite it as a decimal in order to see it's value better. But, yes, you can determine the order of rational numbers. And A is correct. I am 100% positive.

Hope this helps, and good luck!