What are the more appropriate measures of center and spread for this data set?
5 8 10 14 24

The maximum time that tony can park his car at the garage if he wants to pay less than $8 is 5.6 hours

Let's start by setting up an inequality that represents the situation:

Total cost for parking x hours <= $8

We know that the first hour costs $2.75, and each additional hour or part thereof costs $1.25. So the cost for x hours can be expressed as:

Cost = $2.75 + $1.25 × (x - 1)

Note that we subtract 1 from x because the first hour is already accounted for in the flat fee.

Now we can substitute this expression into the inequality:

$2.75 + $1.25 × (x - 1) <= $8

Simplifying this inequality, we get:

$1.25x <= $7

Dividing both sides by $1.25, we get:

x <= 5.6

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Answer:

False. The product of two negative integers is a positive integer.

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

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Complete question:

Answer:

6(y-2) would be 6y-12

Step-by-step explanation:

Answer: 50 and 59

I divided 2950 by 25 because I knew it would somehow factor into that since it ends in 50. Then, I got 25 and 118. From there, I just divided 118 by 2 since I knew that it would end in a 9 and I multiplied 25 by 2. Not sure if this is really helpful, but you also try using a GCF calculator and look up all the factors of that number next time!

Answer:

Add all 25-29 ages together to get your answer

Step-by-step explanation:

Answer:

Slope = -5/8

Step-by-step explanation:

Take 2 points from the graph where the line is. Point 1: (1 , 6). Point 2: (9 , 1).

We are going to use the formula for finding the slope of a line now.

y2 - y1/x2 - x1 = 1 - 6/9 - 1 = -5/8

Slope = -5/8

Answer:

x = 1 , x = 13

Step-by-step explanation:

(x - 7)² = 36 ( take square root of both sides )

x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )

x = 7 ± 6

then

x = 7 - 6 = 1

x = 7 + 6 = 13

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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The volume of the rectangular prism is  234 cm³

The formula for calculating the volume of a rectangular prism is expressed with the equation

V = Bh

Such that the parameters are enumerated as;

From the information given, we have that;

Substitute the values into the equation

Volume = 36(6.5)

multiply the values, and expand the bracket, we get;

Volume= 234 cm³

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Answer:

its C

Step-by-step explanation:

Answer:

for 13 they are counting buy ones.

for 14 they are counting by twos.

Step-by-step explanation:

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:

0.332

Step-by-step explanation:

Have a nice day! :-)

The population of the cells after 7 days is 12800 cells.

The population will first exceed 60000 cells after 9.2 days.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Initial population = 100 cells

The number of population after x days is given by.

f(x) = 100 x \(2^x\)

Now,

The population after 7 days.

f(7) = 100 x \(2^7\)

f(7) = 100 x 8 x 8 x 2

f(7) = 100 x 2 x 64

f(7) = 200 x 64

f(7) = 12800

The population after 9 days.

= 100 x 512

= 51,200

The population after 9.23 days.

= 100 x 600.49

= 60049

The population after 10 days.

= 100 x 1024

= 102,400

This means,

The population will exceed 60,000 after 9.23 days

Thus,

The population after 7 days is 12800.

The population will exceed 60,000 population after 9.2 days.

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4. x= 40

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

☺️

Answer:

8.96 g/cm3

Step-by-step explanation:

89.6 divided by 10 is 8.96

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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The required total cost of fencing the farm is 2000 Rupees.

Perimeter is the measure of the figure on its circumference.

To find the cost of fencing a rectangular farm, we need to find the total length of the fence.

The length of the fence around a rectangular farm is equal to the sum of the lengths of all four sides. For a farm with a length of 16 meters and breadth of 9 meters,
The total length of the fence is = 2 (16 + 9)
                                                   = 2 × 25 = 50 meters

So, the cost of fencing the farm is 50 * 40 = 2000 Rupees.

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With angle of depression = 48°, the horizontal distance from the base of the skyscraper to the ship is approximately 1239.8 feet.

An angle of depression is an angle formed by a horizontal line and a line of sight that is directed downward to an object or point below the horizontal line. In other words, it is the angle between a horizontal line and a line of sight that is directed downward from an observer to an object that is at a lower level than the observer.

Now,

We know that the tangent of the angle of depression A is equal to the opposite side (h) divided by the adjacent side (the distance from the observation deck to the ship). So we can set up an equation:

tan(A) = h / x

where x is the distance from the base of the skyscraper to the ship (the adjacent side).

x = h / tan(A)

A = 48 degrees (angle of depression)

h = unknown

x = unknown

tan(48) = 1.1106 (tangent of 48 degrees)

Using the equation above, we can solve for h:

h = x * tan(A)

h = 969 ft / tan(48)

h ≈ 1239.8 ft

So the horizontal distance from the base of the skyscraper to the ship is approximately 1239.8 feet.

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The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer: 35.75 miles per gallon

Step-by-step explanation:

143 divided by 4 = 35.75

The piece-wise linear functions can be written as follows:

A linear function is modeled by:

y = mx + b

In which:

For x less than 5, the y-intercept is of b = 3 and the function also gos through (2,2), hence the slope is:

m = (2 - 3)/(2 - 0) = -0.5.

Hence the rule is:

\(f(x) = -0.5x + 3, x < 5\).

When x = 5, the function is constant at -5, hence:

\(f(x) = -5, x = 5\)

For x less than 5, the function goes through points (6,3) and (7,2), hence the slope is:

m = (2 - 3)/(7 - 6) = -1.

Then:

y = -x + b

When x = 6, y = 3, hence the y-intercept is given as follows:

3 = -6 + b

b = 9.

Hence the rule is:

\(f(x) = -x  + 9, x > 5\).

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Answer:

UY = 20

WX = 15

VW = 15

Step-by-step explanation:

Given:  UVWXY ~ HDEFG

From inspection of the diagram, the corresponding sides are:

UV~HD

VW~DE

WX~EF

XY~FG

UY~HG

The only pair of sides that both have side lengths are XY and FG. Therefore, we can use these to figure out the scale factor of dilation.

XY = 10 and   FG = 20

⇒ FG/XY= 20/10 = 2

Therefore, HDEFG is an enlargement of UVWXY by a scale factor of 2

If HG = 40

⇒ UY = 40 ÷ 2 = 20

If EF = 30

⇒ WX = 30 ÷ 2 = 15

If DE = 30

⇒ VW = 30 ÷ 2 = 15

Answer:

UY = 20, WX = 15, VW = 15

Step-by-step explanation:

Step 1:  Determine the scale

XY = 10 and FG = 20

\(10/20 = 0.5\)

Step 2:  Determine UY

We can determine UY by multipliying GF by 0.5 which will give us the upscaled ratio which will produce UY.

\(UY = GF * 0.5\)

\(UY = 40 * 0.5\)

\(UY = 20\)

Step 3:  Determine WX

We can determine WX by multipliying FE by 0.5 which will give us the upscaled ratio which will produce WX.

\(WX = FE * 0.5\)

\(WX = 30 * 0.5\)

\(WX = 15\)

Step 4:  Determine VW

We can determine VW by multipliying ED by 0.5 which will give us the upscaled ratio which will produce VW.

\(VW = ED * 0.5\)

\(VW = 30 * 0.5\)

\(VW = 15\)

Answer: UY = 20, WX = 15, VW = 15

Answer:

HCF: 1

LCM: 84

Step-by-step explanation:

7 is a  prime number. Nothing but 1 and 7 divide into which means that twelve and 7 have no highest common factor but 1.

The lowest common multiply (because 12 and 7 are prime to each other ) is 12 * 7 = 84

Answer:

LCM = 84 GCF = 1

Step-by-step explanation:

LCM of 7 and 12 is 84.

GCF(7,12) = 1

LCM(7,12) = ( 7 × 12) / 1

LCM(7,12) = 84 / 1

LCM(7,12) = 84

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).

GCF of 7 and 12 is 1. Now calculate the prime factors of 7 and 12, then find the greatest common factor (greatest common divisor) of the numbers.

To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

ANSWER:

STEP-BY-STEP EXPLANATION:

Ternary is a base 3 number system. This essentially means that it only uses 3 digits to form its numbers:

2038/3 = 679 with remainder 1

679/3 = 226 with remainder 1

226/3 = 75 with remainder 1

75/3 = 25 with remainder 0

25/3 = 8 with remainder 1

8/3 = 2 with remainder 2

2/3 = 0 with remainder 2

Therefore:

Answer:

I think the third one is the answer