The bar graph shows the average number ofyears a group of people devoted to theirmost time-consuming activities. According tothe graph, a person from this group willdevote 25 years to working and eating food.The number of years working will exceed thenumber of years eating food by 19. Over allifetime, how many years will be spent oneach of these activities?years will be spent on working and years will be spent on eating food.How an Average Life Expectancy of 76 Years Is Spent3530- 25-20-15-10-I.5-Sleep Work TV Chores Food Games MallAvg Number of Years

Answer:

13

Step-by-step explanation:

If you plug in 5 for x you get...

f(5)= 3(5) - 2

f(5)= 15 - 2

Therefore, f(5) = 13

Answer:

f(5)=13 <- really the right answer this time haha

Step-by-step explanation:

f(5)=3(5)-2

=15-2

=13

Answer:

This is called absolute sign | | or something near to that...

Any number inside the | | will always be positive in the output. For example |3|= 3 and also |-3|= 3

|-x| = x (notice that)

That's the bottom line and the idea of this equation

You will substitute with the value of function g(x) in the function f(g(x)) = x

The value of g(x) is known as it states g(x) = -x

So when substituting it's going to be like that

f(-x) = -x (right)?

But notice they told you that

f(x) = |x| so as we stated earlier if it's

Anything inside the | | is always positive

So f(-x) = x ###

Why?

Because when we substitute

|-x| =x

Answer:

18 in.

Step-by-step explanation:

I just took the quiz

Answer:

The dimenssion of BC is - 18in.

Step-by-step explanation:

Definition of circle:

The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle . A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.

Step 1:

in Δ\(ZFC\) and Δ\(ZFD\)

\(ZD = ZC\) ( Radius of the circle will be same )

\(ZF= ZF\) (Common side in both triangle)

\($\angle Z F C=L I P D=90^{\circ}[\because F Z \perp D C]\)

So from Side Angle Side theorem,

\($\triangle Z F C \cong \triangle Z f D$\)

So, \($F C=F D=18 in.\)

Step 2:

\($\triangle B C Z$\) and \($\triangle F C Z$\)

\($B Z=F Z \quad$\) (Given)

\(CZ = CZ\) (Common side in both the triangle)

\($\angle Z B C=\angle Z F C=90^{\circ} \quad[\because \overline{B Z} 1 \overrightarrow{C A}$\) and \($$\overline{F 2} \perp \overline{D C}]$$\)

So from sides side angle theorem,

Δ\(BCZ\)≅ Δ\(FCZ\)

So, \(BC = FC\)

Hence \(BC = 18in.\)

Learn more about Circle here,

https://brainly.com/question/24375372

#SPJ2

The answer is:

\( \frac{14}{59} \)Decimal form is 0.2372 is infinity

Explication:

7(2x +2 )= 73x (Remove the parentheses and sort out 7 and solve for each number that is in the parentheses)

14x+14=73x

14x=73-14

-59x=-14

Both sides are divided by -59 but the -59 / -59 is canceled

The discrete data is (b) while the continuous data are (a) and (d)

These are data that can be represented using positive whole numbers.

Using the above definition as a guide, the discrete data is (b) The number of books in your apartment

These are data that can be represented using decimal numbers.

Using the above definition as a guide, the continuous data are (a) The weight of cows  and (d) The ounces of water that you drink each day

Read more about discrete data at:

https://brainly.com/question/4811422

#SPJ1

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

for such more question on line

https://brainly.com/question/1821791

#SPJ8

Step-by-step explanation:

\( \sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\ \)

from difference of two squares:

\({ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}\)

therefore:

\( = \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta\)

factorise out ¾ :

\( = \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}\)

Answer:

i need help with that one too

Step-by-step explanation:

ahhhhhhhhhhhh

Answer:

1919.148

Step-by-step explanation:

Ur just to gay

Answer: Evaluate

Step-by-step explanation:

Step-by-step explanation:

Suppose the results obtained are numbers from 1 to 10, then after 10 rolls, the average is

(1+2+3+4+5+6+7+8+9+10)/10

= 55/10

= 5.5

Answer:

5 , 3 , 3.5     C) The average would approach a set value.

Step-by-step explanation:

The first three numbers don't matter it could be anyone 1-6.

The last answer is C

area=1/2(AB+0A)Ac=4cm

Answer:

28cm²

Step-by-step explanation:

Area of trapezium = 1/2×(6+8)×4

= 28cm²

The range of the repairs to the cars is 241.

The sample variance is 11, 671.33

The sample standard deviation would be 108.03.

Range = Maximum repair cost - Minimum repair cost

= 456 - 215

= 241

Find mean :

= (422 + 456 + 401 + 215) / 4

= 373. 5

Sample variance :

= Sum of ( each repair cost - mean ) ² / (Number of cars - 1)

= ( 2, 340.25 + 6, 812.25 + 756.25 + 25, 105.25 ) / ( 4 - 1 )

= 11, 671. 33

Sample standard deviation:

= √sample variance

= √11, 671. 33

= 108. 03

Find out more on sample variance at https://brainly.com/question/28542390

#SPJ1

The equation given is a quadratic equation that has roots -1 and 5.

To solve this problem, we have to find the roots of the quadratic equation and we can simply multiply through and then calculate the roots.

\((x+1)(x-5) = x^2 -5x + x - 5\\f(n) = x^2 -4x - 5\)

Let's solve this quadratic equation above.

Using factorization method, we can find the factors of the quadratic equation and simplify.

\(x^2 - 4x -5 = 0\\(x+1)(x-5) = 0\\x + 1 = 0\\or \\x - 5 = 0\\x = -1 or x = 5\)

The roots to the equation (x + 1)(x - 5) = 0 are - 1 and 5.

Learn more on roots of quadratic equation here;

https://brainly.com/question/1214333

#SPJ1

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer:

Im not sure about A but other then that B and D have greater values then one

Step-by-step explanation:

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}\)

\(\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes\)

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

Learn more about Distance here:

brainly.com/question/24344086

#SPJ9

Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

The sequence of the transformations are rotation, then translation, and then reflection.

A transformation refers to the movement of a point from its original (initial) position to a new location.

In Geometry, there are different types of transformation and these include the following:

Based on the diagram (see attachment), we can logically deduce that the sequence of the transformations are rotation, then translation, and then reflection.

Read more on rotation here: https://brainly.com/question/9086681

#SPJ9

The volume of the solid whose base is the semicircle y = √(16 - x²), where -4 < x < 4 and whose cross section perpendicular axis are squares is 256/3 unit³

To obtain the volume of a 3D shape, the cross-section area is discovered and then integrated across a predetermined limit. This technique is known as the cross-sectional method of volume fining. The area of the square base is determined in the given problem, and it is then integrated to determine the overall volume.

To find the volume we will first find the cross-sectional area and then integrate it with respect to x from -4 to 4.

Thus the volume is given as follows:

y = √(16 - x²)

V = ₋₄∫⁴ (√(16 - x²))² dx

V = ₋₄∫⁴ (16 - x²) dx

V = [16x - x³/3]₋₄⁴

V = (64 - 64/3 + 64 -64/3)

V = 256/3 unit³

To learn more about volume of the solid here;

brainly.com/question/29246646

#SPJ4

Explanation:

An arc measure is an angle the arc makes at the center of a circle

From the given question, we will have to apply the intersecting chord theorem

If two chords intersect in the interior of a circle, then the measure of each angle is one half the sum of the

measures of the arcs intercepted by the angle and its vertical angle.

Thus

Thus, the answer is 77.2 degrees

The oil left over in the oil drum after Mr. Evans use is 3 49/99 liters

Mixed fraction: A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction. It is also an improper fraction

given in the question that, an oil drum contains 6 3/11 liters of engine oil. Mr. Evans uses 2 7/9 liters of engine oil from the oil drum to maintain his car

An oil drum contains engine oil = 6 3/11 liters = 69/11 liters

Mr. Evans uses engine oil = 2 7/9 liters = 25/9 liters

so to find how much oil is there in the oil drum we need to subtract used oil from the total oil drum

which gives 69/11-25/9

                = (69x9-25x11)/99

                = (621-275)/99

                 =346/99 liters

          in the mixed fraction we can write it as ,

                  = 3 49/99 liters

The oil left over in the oil drum after Mr. Evans use is 3 49/99 liters

to learn more about mixed fraction visit:

brainly.com/question/21449807

#SPJ1

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

For more such question on brand. visit :

https://brainly.com/question/29129317

#SPJ8

Answer:

f=-x^2/2-2

Step-by-step explanation:

The interest that have been earned after two years is $25.

A type of interest known as compound interest is computed using both the original sum and any accrued interest from earlier periods. The interest that is earned on interest is, in other terms, interest.

We know that by the compound interest formula;

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

n = Number of times compounded

t = time

Thus;

A = 1100(1 + 0.0114/365)^365* 2

A = $ 1125

Thus the interest after two years is;

$ 1125 - $1100

= $25

Learn more about compound interest:https://brainly.com/question/14295570

#SPJ1

Answer:

B

Step-by-step explanation:

x + 3y = 2 → (1)

4x - 3y = 23 → (2)

adding (1) and (2) term by term will eliminate y

(x + 4x) + (3y - 3y) = 2 +  23

5x + 0 = 25

5x = 25 ( divide both sides by 5 )

x = 5

Answer:320000

Step-by-step explanation:

Answer:

The statement that must be true is;

Explanation:

Since the line is constructed to bisect line segment KL.

Bisecting line KL means it will be divided into two equal halves.

The point of bisection of the Line KL is U. So, line KU must be equal to line UL.

Therefore, the statement that must be true is;

Answer:

A is the correct answer .

Step-by-step explanation:

Hope this helps .

The equation that allows you to solve the given equation is (x-3)(2x+5).

Any equation of the form \(ax^{2} +bx+c=0\) is called a quadratic equation where a is non-zero.

The given quadratic equation is:

\(2x^{2} -15=x\)

\(2x^{2} -x-15=0\)

\(2x^{2} -6x+5x-15=0\)

\(2x(x-3)+5(x-3)=0\)

\((x-3)(2x+5)=0\).......(1)

So, the required equation is equation(1).

Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).

To get more about quadratic equations visit:

https://brainly.com/question/1214333