A fortnight is 1/26 of a year. What part of a year is 8 fortnights?

Answer:

[tex]y=-3x+7[/tex]

Step-by-step explanation:

This is asking you to provide the equation is slope-intercept form:

[tex]y=mx+b[/tex]

In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).

By looking at the graph, we can find the y-intercept:

[tex]y-intercept=7\\\\m=7[/tex]

To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).

The slope is represented by [tex]\frac{rise}{run}[/tex] , where the rise is the change in the y-axis and the run is the change in the x-axis.

From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From  here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:

[tex]\frac{rise}{run}=\frac{3}{-1}=-\frac{3}{1}=-3[/tex]

The slope is -3.

Insert the information into the equation:

[tex]y=-3x+7[/tex]

:Done

Answer:

the desired equation is y = -3x + 7

Step-by-step explanation:

The y-intercept can be read directly from the graph:  (0, 7).  

Another point on the graph is (2, 1).

As we move from (0, 7) to (2, 1), we see x (the run) increasing by 2 and y (the rise) decreasing by 6.  Thus the slope of this line is m = rise/run = -6/2, or -3.

Start with the slope-intercept form of the equation of a straight line, which is y = mx + b.

Then 1 = (-3)(2) + b; find b:

1 = -6 + b, or b = 7

Then the desired equation is y = -3x + 7.

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Explanation:

Since the x coordinates are the same, we can subtract the y coordinates to get

1.5 - (-3.5) = 1.5 + 3.5 = 5

Note how subtracting a negative is the same as adding.

-------

We can subtract in the other order

-3.5 - 1.5 = -5

but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive

|-5| = 5

Answer: The answer is c

Step-by-step explanation:

Answer:

H. 50 sq cm

Step-by-step explanation:

Triangle PSU is an equilateral triangle because each side of it is a radius of semicircle TRP. Also, the radius of semicircle TRP is the short side of the rectangle. So, if the total perimeter of the triangle is 15, each side is 5 cm. So, the short side of the rectangle is 5cm and the long side is 5*2 = 10 cm.

5 * 10 = 50 sq cm

Answer:

Step-by-step explanation:

Using Pythagoras Theorem, hypotenuse = 5

[tex]h = \sqrt{a^{2}+ b^{2}[/tex]

[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]

sin x = height / hypotenuse = 3 / 5

cos y = base / hypotenuse = 3 / 5

sin x = cos y = 3 / 5

Answer:

15 cm

Step-by-step explanation:

The area of an equilateral triangle is:

[tex]\frac{\sqrt{3} }{4}a^2[/tex], where a is the length of one side.

We can find the value of a (the length) by:

[tex]\frac{25\sqrt{3} }{4} = \frac{\sqrt{3} }{4}a^2[/tex]

[tex]a^2 = 25[/tex]

a = 5, so the side length of this triangle is 5 cm.

The perimeter of an equilateral triangle will be 3 times the length.

[tex]3\cdot5=15[/tex]

Hope this helped!

Answer:

196π or 615.75 m^3 to the nearest hundredth.

Step-by-step explanation:

This is a cone, so:

Volume = 1/3 π r^2 h

= 1/3  * π * 14^2 * 3

= 196π m^3.

Answer:

31 Pikachu bags were sold.

19 peanut bags were sold.

Step-by-step explanation:

Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.

We know that the number of Peanuts sold is 50-x (as the total needs to be 50)

We know that the total revenue is:

Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts

Using our definitions above:

Total Revenue = x * $3.68 + (50-x) * $0.76

We know that the revenue needs to be $128.52.

$128.52 = x * $3.68 + (50-x) * $0.76

Let's remove the $ signs.

128.52 = x * 3.68 + (50-x) * 0.76

Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.

128.52 = x*3.68 + 50*0.76 - x*0.76

128.52 = x*3.68 + 38 - 0.76*x

Subtracting 38 from both sides

90.52 = 3.68*x - 0.76*x

We can simplify the right side.

90.52 = 2.92*x

We can divide both sides by 2.92:

31 = x

And flip it:

x = 31

So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is

50-x = 50-31 = 19

31 Pikachu bags were sold.

19 peanut bags were sold.

[tex] \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}[/tex]

Let the number of peanut bags be x

Then, Number of pikachu bags = 50 - x

Given,

Then,

⇛ Total cost he gets from peanut bag = $0.76 × x

⇛ Total cost he gets from pikachu bag = $3.68(50 - x)

According to question,

⇛ $0.76x+ $3.68(50 - x) = $128.52

Solving this equation,

⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)

⇛ 184 - 2.92x = 128.52

⇛ 184 - 128.52 = 2.92x

⇛ 55.48 = 2.92x

Flipping the equation,

⇛ 2.92x = 55.48

⇛ x = 55.48 / 2.92

⇛ x = 19

Then,

⇛ 50 - x = 50 - 19 = 31

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}[/tex]

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}[/tex]

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Answer:

m = 0.421

Step-by-step explanation:

5.4(m-2)= -2(3m+3)     (expand parentheses by distributive property)

m(5.4) -2(5.4) = 3m(-2) + 3(-2)

5.4m - 10.8 = -6m - 6      (add 6m to both sides)

5.4m - 10.8 + 6m =  - 6

11.4m - 10.8 =  - 6   (add 10.8 to both sides)

11.4m = -6 + 10.8

11.4m = 4.8   (divide both sides by 11.4)

m = 4.8 / 11.4

m = 0.421

Answer:

m = 8/19

Step-by-step explanation :

5.4  (m-2) = -2 (3m +3)  

54/10 (m-2) = (3m +3)   as n = 1

2.3^3 /  2.5  (m-2) = (3m + 3)

4.868 (m-2) = (3m +3)

4.868 + 3 = (3m^2 * m-2)

8 / 9.5 * 2  

m = 8 / 19

Answer:

The domain of fx is x>5

The domain of gx is x>5

The statements could he include in his explanation are

a. The domain of fx is x>5.

b. The domain of gx is x>5.

A function is defined as a relationship between a set of inputs and a single output. A function is an input-output relationship in which each input corresponds to exactly one output.

A function is a sort of rule that generates a single output for a single input. The image was given by Alex Federspiel. A good example is y=x2. You will only get one output for y if you enter anything for x. We can say that y is a function of x because x represents the input value.

Both functions are real numbers, so, f(x) is x > 5 and g(x) is x > 5 will be correct.

Therefore, the correct options are, a. The domain of fx is x>5 and b. The domain of gx is x>5.

To learn more about the function, refer to the link:

https://brainly.com/question/28269290

#SPJ2

Answer: 80/1000 • 20

Answer:

Screenshots attached! Hope it helps :)

Answer:

A. 0

Step-by-step explanation:

In order for there to be a 1 in 3 chance, there would have to be an equal number of the three chalices.  Since four is the smallest number, the other two must have four left as well.  That means Donavan drank 1 spoiled milk and 2 flat sodas.  Therefore, he drank 0 purified water.

Answer:

x = 77/15 or  5 2/15

Step-by-step explanation:

x/7 = 11/15

Multiply each side by 7

x/7 *7 = 11/15 *7

x = 77/15

We can leave as an improper fraction or change to a mixed number

15 goes into 77  5 times with 2 left over

5 2/15

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▹ Answer

x = 77/15, 5 2/15, or 5.13

▹ Step-by-Step Explanation

x ÷ 7 = 11 ÷ 15

15x = 77

Divide both sides by 15:

x = 77/15, 5 2/15, or 5.13

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

32 miles/4 hours.

Step-by-step explanation:

Answer:

x = 80

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

25+x = 105

Subtract 25 from each side

25+x-25 = 105-25

x = 80

Answer:

VW=35

YZ=50

Step-by-step explanation:

As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:

2(4y+7)=12y-14

8y+14=12y-14

4y=28

y=7

So, VW=4(7)+7=35.

Similarly, you can find YZ through VT:

2(7x-17)=8x+2

14x-34=8x+2

6x=36

x=6

Therefore, YZ=8(6)+2=50.

Answer:

22 years

Step-by-step explanation:

Well we know the formula for simple interest is

I = PRT

I = interest earned

P = initial balance

R = rate

T = time

We want to solve for time here....so rearrange for T

T= I/(PR )

We have

P = 825

R = .057

And I = current balance - initial balance = 1859.55 - 825 = 1034.55

So plugging all those in we have

T = 1034.55/(825×.057 )

T = 1034.55/47.025

T = 22

It was held for 22 years.

Correct option is Option B: The standard deviation is a better measure of spread for movies than it is for basketball games.

Visual analysis for movies:

Movies data is more centric to mean and not skewed on a particular side.

Visual analysis for Basketball games:

Basketball games data is not centric to mean but is skewed or say more dense in right then left.

Property of standard deviation and its limitation:

Standard deviation just measures the deviation or spread with respect to mean of collected data. It is non- sensible for skewness of the data and thus more information is needed in such case.

Property of IQR and its limitation:

IQR is interquartile range. IQR generally is less powerful than standard deviation, but more powerful if the data is skewed and its variability has to be measured. It measures the range or say difference between [tex]Q_3 \: and \: Q_1[/tex]

In the movies data, the data is more collected and barely visible to be skewed. Thus standard deviation is best suited for this dataset.

In the basketball data, the standard deviation will fail to give good information about the data. The IQR, is better here since we've to measure variability or dispersion of data which is skewed.

Thus, option B: The standard deviation is a better measure of spread for movies than it is for basketball games; is correct option.

Learn more here:

https://brainly.com/question/12402189

Answer:

a) x greater than or equal to 10

b) x = 9

Step-by-step explanation:

a)

[tex]x + 5 \geqslant 15 \\ x \geqslant 15 - 5 \\ x \geqslant 10[/tex]

b)

[tex]2x < 18 \\ x = \frac{18}{2} \\ x = 9[/tex]

A negative value would mean it is below sea level. A positive value would be above sea level.

-8 is 8 feet below sea level

+107 is 107 feet above sea level.

The answer Is:

The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.

Answer:

Step-by-step explanation:

The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.  

Answer:

15, 5, 45, 10

Step-by-step explanation:

2 minutes for 10 photos

1 minute for 5 photos

now:

2×5=10

3×5=15

25÷5=5

9×5=45

50÷5=10

Answer:

it took him 3 hours to get to work

Step-by-step explanation:

For the first part of the trip, the executive covered a distance "d" in time 't" at 35 mph, therefore we can write that the time it took to get to the helicopter was:

[tex]t-\frac{d}{35}[/tex]

which if the distance is in miles, will render the time in hours.

We can write something similar for the second part of the trip", using the same "t" since it took the same time as for the first one, and using for distance 169.5 - d (since it is the distance to complete the total traveled distance :

[tex]t=\frac{169.5-d}{78}[/tex]

Now we equal those two equations because the time "t" is the same, and solve for "d":

[tex]\frac{d}{35} =\frac{169.5-d}{78} \\78\,d=35\,(169.5-d)\\78\,d=5932.5-35\,d\\(78+35)\,d=5932.5\\d=\frac{5932.5}{113} \\d=52.5[/tex]

Now, knowing the distance covered in the first trip, we can find the time of that first trip:

[tex]t=\frac{52.5}{35} =1.5\,\,hours[/tex]

Therefore, the time it took for thye total trip is: 1.5 h + 1.5 h = 3 hours

Answer:233.333%

Step-by-step explanation:

1. 10-3=7 subtract end by start

2.7/3=2.333 divide difference by absolute value of start

32.333x100=233.333% multiply by 100 if negative its decreasing if positive it increasing

hoped this helped

Answer:

using the equilateral formula of solution

Answer:

[tex]x^2-3\geq 12[/tex]

Step-by-step explanation:

[tex]x^{2} -3[/tex] is the difference of a number squared and three

is at least 12, means that is greater but not less

[tex]x^2-3\geq 12[/tex]

Answer:

[tex] 6\sqrt{5} units [/tex]

Step-by-step Explanation:

The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).

Distance formula between two points on a graph (d) = [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] A(-6, -2) = (x_1, y_1) [/tex]

[tex] C(6, 4) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(6 - (-6))^2 + (4 -(-2))^2} [/tex]

[tex] d = \sqrt{(6 + 6)^2 + (4 + 2)^2} [/tex]

[tex] d = \sqrt{(12)^2 + (6)^2} [/tex]

[tex] d = \sqrt{144 + 36} [/tex]

[tex] d = \sqrt{180} [/tex]

[tex] d = \sqrt{36*5} [/tex]

[tex] d = 6\sqrt{5} [/tex]

The length of the wall = [tex] 6\sqrt{5} units [/tex]

Answer:

5 * 10^10.

Step-by-step explanation:

(9 * 10^10) - (4 * 10^10) = (9 - 4) * 10^10 = 5 * 10^10.

Hope this helps!

Answer:

5*10^10

Step-by-step explanation:

9 times ten is 9^10, and 4 Times 10^10 is 4^10 so 9^10 minus 4^10 is 50000000000 which is also called 5^10 which is also 5 x 10^10 I think. pls correct me if im wrong