it is 35 degrees Celsius at your school and 90 degrees farenheit at home. where is the tempature higher?​

Answer:

Mary is 7

Step-by-step explanation:

If their ages combined equals 21 and john is twice Mary’s age then johns age takes up 2/3 of 21. that would b 14. 14 is 2 x 7. and Mary is 7. 14+7=21. Mary is 7 years old

Correct answers are:

J + M = 21

J - 2M = 0

Total time = 2 hours

Time playing video games = 50 minutes

We have to write an equation:

Total time (2hours) multiplied by the percentage in decimal form (x) must be equal to 50 minutes

Time must be in the same unit ( minutes)

since 60 minutes =1 hour

2 hours = 2 (60) =120 minutes

Back with the equation:

120 x = 50

Solving for x

x = 50/120

x = 0.42

In percentage form:

0.42 x 100 = 42%

The exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

This is the shape of the exponential function:

f(x) = a *\(b^x\)

where a represents the starting point and b represents the exponential function's base.

We must solve the system of equations to determine the values of a and b that meet the requirements:

a * \(b^(-1)\) = 2/5 (equation 1) 

a *\(b^3\)= 250 (equation 2) 

We can solve for an in equation 1 by multiplying both sides by b:

a = (2/5) * b

Substituting this expression into equation 2, we get:

(2/5) * b *\(b^3\) = 250

Simplifying, we get:

\(b^4 = 3125\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

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To count the total number of possible symmetric scanning codes, we need to consider the different symmetries that can be present in a $7 \times 7$ grid. There are a total of $175$ possible symmetric scanning codes.

Rotation by $0^{\circ}$: In this case, there is only one possible arrangement because no squares need to change their color.

Rotation by $90^{\circ}$: The $7 \times 7$ grid can be divided into four quarters. Each quarter can be independently colored in two ways (black or white), except for the center square, which has only one possibility to ensure at least one square of each color. Therefore, there are $2^4 = 16$ possibilities for this rotation.

Rotation by $180^{\circ}$: Similar to the previous case, there are $16$ possibilities.

Rotation by $270^{\circ}$: Again, there are $16$ possibilities.

Reflection across the line joining opposite corners: This symmetry divides the grid into two halves. Each half can be independently colored in $2^6 = 64$ ways, but we need to subtract the case where both halves have the same color to ensure at least one square of each color. So, there are $64 - 1 = 63$ possibilities.

Reflection across the line joining midpoints of opposite sides: Similar to the previous case, there are $63$ possibilities.

Finally, we add up the possibilities for each symmetry:

$1 + 16 + 16 + 16 + 63 + 63 = 175$

Therefore, there are a total of $175$ possible symmetric scanning codes.

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Answer:

92/69 cannot be simplified

Step-by-step explanation:

The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20

Cost of jackets= $75

Number of shorts= 5

Cost of each short = x

Total amount Jim spent= $175

Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)

175 = 75 + 5x

subtract 75 from both sides

175 - 75 = 5x

100 = 5x

divide both sides by 5

x = 100/5

x = $20

Ultimately, each pair of shorts cost $20

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The best buy is from dealership A because the fees of dealership B is more expensive

For the purpose of this exercise, the add-on options to select are:

The total amount of the add-on options is:

Total = $1000 + $500 + $3500 + $500 + $750

Total = $6250

The inequality

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000

Solve for x

We have:

(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 12998.44

Divide both sides by (1 + 6.75%)

x  ≤ 12176.52

The solution means that the base price of the car cannot exceed $12176.52 for dealership A

The graph of the possible base price

See attachment

The total amount of the add-on options is:

Total = $500 + $750 + $2750 + $750 + $500

Total = $5250

The inequality

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000

Solve for x

We have:

(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 13225.28

Divide both sides by (1 + 6.75%)

x  ≤ 12389.02

The solution means that the base price of the car cannot exceed $12389.02 for dealership B

The graph of the possible base price

See attachment

Buy from dealership A because the fees of dealership B is more expensive

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Assuming the track is straight, the distance at which they are apart one hour before they meet is; 30 km

We are told that a Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line.

Speed of Train 1 = 120 km/h

Speed of Train 2 = 90 km/h

Time spent by train 1 = 1 hour

Time spent train 2 = 1 hour

Formula for distance is;

Distance = Speed * time

If they leave the same time each day, it means that;

Distance of train 1 = 120 * 1 = 120 km

Distance of train 2 = 90 * 1 = 90 km

Thus, distance at which they will be apart before meeting each other is;

Distance apart = 120 - 90

Distance apart = 30 km

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Answer:

A

Step-by-step explanation:

Point slope is y-y1 = slope (x -x1)

Plug in the point you're given and you get

y + 7 = -3 (x - 5)

Hopefully this helps- let me know if you have any questions

Answer:

A. y + 7 = - 3 (x - 5)

Step-by-step explanation:

Given point is (5, - 7)

Slope of line (m) = - 3

Equation of line in point slope form is given as:

y - (-7) = - 3(x - 5)

y + 7 = - 3 (x - 5)

The difference between the percentage of students enrolled in propel who had a GPA of 3.0 or greater and the percentage of students not enrolled in propel who had a GPA of 3.0 or greater is 12%.

There are 61 students enrolled in Propel who had a GPA of 3.0 or greater and 48 students enrolled in Propel who had a GPA of less than 3.0, so there are a total of 61 + 48 = 109 students enrolled in Propel.

The percentage of students enrolled in Propel who had a GPA of 3.0 or greater is 61 100% 109 × ≈ 55.96% or about 56%. There are 95 students who are not enrolled in Propel who had a GPA of 3.0 or greater and 123 students not enrolled in Propel who had a GPA of less than 3.0, so there are a total of 95 + 123 = 218 students who are not enrolled in Propel.

The percentage of students not enrolled in Propel who had a GPA of 3.0 or greater is 95 100% 218 × ≈ 43.58% or about 44%.

Therefore, the difference, to the nearest whole percent, between the percentage of students enrolled in Propel who had a GPA of 3.0 or greater and the percentage of students not enrolled in Propel who had a GPA of 3.0or greater is 56% − 44% = 12%.

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The domain of the function exists \($(-\infty, \infty)$\) range be \($[0, \infty]$\).

The components of a function are its Domain and Range. In contrast to a function's range, which is the set of all potential outputs, a function's domain is the set of all possible inputs.

All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's entire range, from the bottom to the top, is the range.

By listing all of the values in the column that corresponds to the input values on a mapping diagram, the domain of the function may be identified.

In general, the domain of any polynomial is \($(-\infty, \infty)$\).

The range of a positive polynomial \($y=x^a$\) where a is even is \($[0, \infty]$\).

Therefore, the domain exists \($(-\infty, \infty)$\)

Range exists \($[0, \infty]$\).

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A circle has central angle 144° and arc length of 4 units. The area of the corresponding sector is 7.96 square units.

A sector of a circle is an area enclosed by two radii and an arc. The formula for the area of a sector is given by:

Area of sector = (central angle/360°) x πr²

Hence, we must find the radius of the circle first using the arc length information.

Arc length = (central angle/360°) x 2πr

4 =  (144°/360°) x 2πr

r = 4 x 360°/(144° x 2π)

 = 1.59 units

The area of the circle is given by:

A = πr²

   = = π(1.59²) = 7.96 square units

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3.9979(depends on what place you need to round to

The equation is V=πr2h. First plug in what you know, 314=π5^2h. 5x5=25 and its multiplied with π. It would look like 314=25πh. Divide the 25π by both sides, leaving your h. Plug it into your calculator.

Check answer:

(I rounded the 4 to the nearest whole number) 4*25*π is approximately 314

Answer:

4 ft

---------------

Volume of cylinder formula:

Given:

Find h:

Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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Answer:

17/2

Step-by-step explanation:

Work backwards. you have 10, then opposite of subtract 7 is add 7 which gives you 17. then opposite of double is half getting you 8.5 or 17/2

Answer:

Your number is 8.5 or 17/2

Step-by-step explanation:

Let's say your number is equal to the variable n.

Then we can set up an equation for this scenario: 2n - 7 = 10

Now, we need to use algebra to solve:

2n - 7 = 10 → add 7 to both sides

2n = 17 → divide both sides by 2

n = 17/2 = 8.5

Thus, the number you were thinking of was 8.5, or 17/2

Answer:

80.

............................

X = 700 m and Y = 350 m will require the least amount of fencing.

Area of a rectangular field = length × breath =  245000 = XY

⇒ Y = 245000/X

Perimeter of a rectangular field = X + 2Y

⇒P = X+ 2Y

⇒P = X + 490000/X

⇒ X + 490000X⁻¹

⇒P [X] =  X + 490000X⁻¹

⇒P'[X] = 1+[-490000X⁻²]

⇒0 = 1 - 490000/X²

⇒X²= 490000

⇒X = 700 unit

As XY = 245000  [ area of a rectangle ]

⇒700Y = 245000

⇒Y = 350 unit.

Hence , P is minimum [ fencing ] when X = 700 unit and Y = 350 unit.

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Cases (iii) and (iv) are left as exercises, meaning the proof for those cases is not provided in the given information. To fully establish the Characterization Theorem, the proof for these remaining cases needs to be completed.

Theorem 2.5.1 (Characterization Theorem):

If S is a subset of R that contains at least two points and has the property that if x, y ES and x < y, then (x, y)C S, then S is an interval.Proof.

There are four cases to consider:

(i) S is bounded,

(ii) S is bounded above but not below,

(iii) S is bounded below but not above, and

(iv) S is neither bounded above nor below.

Case (i): Let a = inf S and b = sup S.

Then SC[a, b] and we will show that (a, b)C S. If a < z < b, then there exist x, y

ES such that x < z < y. Since x < y and S has property (1), we have (x, y)C S.

Since zEP(x, y), it follows that zES.

Thus (a, b)C S.

Now if a S and b S, then S =[a, b].

If a S and b S, then S=(a, b).

The other possibilities lead to either S = (a, b) or S = [a, b].

Case (ii): Let b = sup S.

Then SC (-[infinity]o, b] and we will show that (-oo, b)C S. For, if z < b, then there exists y

ES such that z < y < b.

Since b is the least upper bound of S and yES, it follows that y 6S. But then (z, y)C (-oo, b) and (z, y)C S.

Thus (-oo, b)C S. Now if S contains its smallest element a, then S = [a, b]. Otherwise, S=(a, b).

Cases (iii) and (iv) are left as exercises.

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The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.

Now to evaluate the mean number of hours Rashawn listened to music for the 6 days, we have  to sum up all the hours and divide by the number of days.

Then, total number of hours Rashawn heard music for 6 days is

= 6 + 5 + 5 + 6 + 5 + 7

= 34 hours

Mean  = Total number of hours / Number of days

= 34 / 6

= 5.7 hours

Now,

For evaluating  the median number of hours Rashawn heard  music in the interval of  6 days

We have to set the number in the order of smallest to largest

The numbers in order are  5, 5, 5, 6, 6, 7

The median is the middle value which is 6

The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.

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The complete question is

Rashawn kept a record of how many hours he spent listening to music for 6 days during school vacation and displayed his results in the table

Day -

Monday  

Number of hours - 6

Tuesday  

Number of hours - 5

Wednesday  

Number of hours - 5

Thursday

Number of hours - 6

Friday

Number of hours - 5

Saturday

Number of hours - 7

calculate the mean and median number of hours Rashawn listened to music for the 6 days. Round your answers to the nearest tenth.

The line y=kx-2 and the parabola y=1+5x-2x^2 touch when k is equal to 5 plus or minus the square root of 8, intersect when k is less than 1 or greater than 9, and do not intersect when k is between 1 and 9.

i) To find the values of k such that the line and parabola touch, we need to find the point(s) where they intersect and have the same slope. Setting the equations equal to each other, we get:

kx - 2 = 1 + 5x - 2x^2

2x^2 - (k-5)x + 3 = 0

For the line and parabola to touch, this quadratic equation must have a double root, which means its discriminant must be 0:

(k-5)^2 - 4(2)(3) = 0

Simplifying this equation, we get:

k^2 - 10k + 17 = 0

Solving for k using the quadratic formula, we get:

k = 5 ± √8

So the line and parabola will touch when k is equal to 5 plus or minus the square root of 8.

ii) To find the values of k such that the line and parabola intersect, we need to solve the system of equations:

y = kx - 2

y = 1 + 5x - 2x^2

Substituting the first equation into the second, we get:

kx - 2 = 1 + 5x - 2x^2

2x^2 - (k-5)x + 3 = 0

For the line and parabola to intersect, this quadratic equation must have real roots. This means its discriminant must be greater than or equal to 0:

(k-5)^2 - 4(2)(3) ≥ 0

Simplifying this inequality, we get:

k^2 - 10k + 17 ≥ 0

Factoring the left-hand side of the inequality, we get:

(k - 1)(k - 9) ≥ 0

This inequality is satisfied when k is less than 1 or greater than 9. So the line and parabola will intersect when k is less than 1 or greater than 9.

iii) To find the values of k such that the line and parabola do not intersect, we can use the same quadratic equation as in parts (i) and (ii). For the line and parabola to not intersect, this quadratic equation must have no real roots, which means its discriminant must be negative:

(k-5)^2 - 4(2)(3) < 0

Simplifying this inequality, we get:

k^2 - 10k + 17 < 0

Factoring the left-hand side of the inequality, we get:

(k - 1)(k - 9) < 0

This inequality is satisfied when k is between 1 and 9. So the line and parabola will not intersect when k is between 1 and 9.

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Answer:

go down 5 on the y axis (the one going up and down)

Step-by-step explanation:

since its negative you go down, and since it doesnt give an x axis it doesnt go left or right.

The simplified form of the expression is 1.55x - 2.16.

To simplify the expression 0.2[5x + (-0.3)] + (-0.5)(-1.1x + 4.2), we can distribute the coefficients and simplify the terms.

First, distribute 0.2 to the terms inside the brackets: 0.2 * 5x + 0.2 * (-0.3) = x - 0.06.

Next, distribute -0.5 to the terms inside the second brackets: -0.5 * (-1.1x) + (-0.5) * 4.2 = 0.55x - 2.1.

Now, we can combine the simplified terms: (x - 0.06) + (0.55x - 2.1) = 1.55x - 2.16.

Thus, the simplified expression is 1.55x - 2.16.

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Answer:

4 and 4/15=c. 2 and 2/15=p.

Step-by-step explanation:

I am younger than 12 i dont have much experience; done 2 or 3 problems like this...

first lets make it simpler...

2c+4p=11.20 is the same as c+2p=5.6

then subtract one from the other and you get 4c+2p=12.8

simplify again 2c+p=6.4

so the ratio of c to p is 2:1. Multiply 6.4 by 2/3 to get what c is... 64/15

64/15 is 4 and 4/15. then divide by 2 to get what p is so 64/15÷2=32/15 which is 2 and 2/15.

Step-by-step explanation:

Given equation of line: y = 5x/4 - 5

To graph the line, we need to identify the x and y intercepts. This can be done by setting the x and y values to 0 and solving for each variable.

Setting the y-variable to 0 and solving for x (x-intercept):

Adding 5 both sides of the equation:

Smart Tip: If the x-variable is being multiplied by a fraction, simply multiply the fraction by its reciprocal to isolate the x-variable. Here, 5/4 is being multiplied to the x-variable. Since the reciprocal of 5/4 is 4/5, we will multiply 4/5 on both sides of the equation to isolate the x-variable.

Therefore, the x-intercept is located at (4, 0).

Side note: It is not required to plug x = 0 to solve for the y-intercept since we are given b = -5 in the slope intercept form equation, where b is known as the y-intercept. But if you want to show evidence that -5 is the y-intercept is the correct y-intercept, you are free to do that task!

Plotting the points on the coordinate plane:

Now, it is time to plot the x and y intercepts on the graph so that we can draw the line with the help of the two "plotted" points on the graph.

After plotting these points, your graph should look like the attachment.

Graphing the line on the coordinate plane:

This is the last and final step to finish the problem. Take a ruler and with the help of the two points plotted, draw the line.

And you are done!

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Answer:

To graph a linear equation, find at least two points on the line, plot them on a coordinate plane, then draw a straight line through them.

Step-by-step explanation:

Given linear equation:

\(y=\dfrac{5}{4}x-5\)

To graph a linear equation, find at least two points on the line, plot them on a coordinate plane, then draw a straight line through them.

To find points on the line, substitute values of x into the given equation.

Note:  As the slope of the given line is 5/4, substitute multiples of 4 as values of x to eliminate the fraction and ensure the points contain integers only.  This will make the points easier to plot.

\(\begin{aligned}x=0 \implies y&=\dfrac{5}{4}(0)-5\\y&=0-5\\y&=-5\end{aligned}\)

\(\begin{aligned}x=4 \implies y&=\dfrac{5}{4}(4)-5\\y&=5-5\\y&=0\end{aligned}\)

\(\begin{aligned}x=8 \implies y&=\dfrac{5}{4}(8)-5\\y&=10-5\\y&=5\end{aligned}\)

Therefore, to graph the given equation:

We can't use any of the pattern

Answer:

9

Step-by-step explanation:

jayfeather friend me

Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

\(a^{2} +b^{2} =c^{2}\)

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

\(a^{2} +4^{2} =5^{2}\)

Simplify it

\(a^{2} +16=25\)

Subtract both sides 16

\(a^{2} =9\)

Take square root on both sides

a=±3

So, base of the ladder is 3 meters away from the building.

Answer:

Read left to right

Do parenthesis first

-4 ( 1 + 5) ^2

-4 (6) ^2

Then exponent

6^2 = 6 x 6 = 36

-4 x 36 = -144

Then divide

-144 / 6 = -24

Then the next parenthesis

(42+5) = 47

-24 - 47 = -71

Step-by-step explanation: