I need help in question 14

Answer:

73 feet

Step-by-step explanation:

50 + 23 = 73 feet

Answer:

A

Step-by-step explanation:

12/2 = 6 , 6-2=4 . 12+4 =16

Answer:

The percentage represented is 37.5%

The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.

The first step is to determine the total cost of the items bought.

Cost of the bicycle = $446.60.

Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27

Cost of the bike gloves = $35.82

Total cost = $494.69

The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31

The amount of money left is not sufficient to buy the new biking outfits.

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Answer:

direct answer 20

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3x=1 term

+2y= 2 term

-5= 3 term

Answer:

there are 3 terms in this equation

Step-by-step explanation:

3x --- this is the 1st term

2y --- this is the 2nd term

5 --- this is the 3rd term

(brainliest plz)

Answer:

Infinitely Many Solutions.

Step-by-step explanation:

x+2y=0

6y=-3x

y=-3/6x

y=-1/2x

x+2(-1/2x)=0

x-2/2x=0

x-x=0

0=0

infinitely many solutions

Given:

The graph of a function and a blue line.

To find:

The correct name for the blue line.

Solution:

Domain: It is the set of inputs. These are the x-values for which the function is defined.

Range: It is the set of outputs. These are the y-values for the function.

Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.

y-intercept: It is the intersection point of the function and the y-axis.

From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.

So, the blue line is an asymptote of the function.

Look at the graph shown below the blue line represents an asymptote of the graph.

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

wonderful

Step-by-step explanation:

a5= A1=7 an=2an1

an16

Options:

A. [1,10]        B. [10,20]      C. [15,25]     D. [1,30]

Answer:

A. [1,10]

Step-by-step explanation:

Given

[tex]N(t) = 100e^{-0.023t}[/tex]

Required

Interval with the fastest rate of decay

The rate of change over [a,b] is calculated as:

[tex]Rate = \frac{N(b) - N(a)}{b - a}[/tex]

So, we have:

A. [1,10]        

[tex]Rate = \frac{N(10)-N(1)}{10 - 1}[/tex]

[tex]Rate = \frac{N(10)-N(1)}{9}[/tex]

Calculate N(10) and N(1)

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{79.45-97.73}{9} = \frac{-18.28}{9} = -2.03[/tex]

B. [10,20]      

[tex]Rate = \frac{N(20)-N(10)}{20 - 10}[/tex]

[tex]Rate = \frac{N(20)-N(10)}{10}[/tex]

Calculate N(20) and N(10)

[tex]N(20) = 100e^{-0.023*20} = 100e^{-0.46} = 63.13[/tex]

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

So:

[tex]Rate = \frac{63.13 - 79.45}{10} = \frac{-16.32}{10} = -1.632[/tex]

C. [15,25]    

[tex]Rate = \frac{N(25)-N(15)}{25 - 15}[/tex]

[tex]Rate = \frac{N(25)-N(15)}{20}[/tex]

Calculate N(25) and N(15)

[tex]N(25) = 100e^{-0.023*25} = 100e^{-0.575} = 56.27[/tex]

[tex]N(15) = 100e^{-0.023*15} = 100e^{-0.345} = 70.82[/tex]

So:

[tex]Rate = \frac{56.27 - 70.82}{10} = \frac{-14.55}{10} = -1.455[/tex]

D. [1,30]

[tex]Rate = \frac{N(30)-N(1)}{30 - 1}[/tex]

[tex]Rate = \frac{N(30)-N(1)}{29}[/tex]

Calculate N(30) and N(1)

[tex]N(30) = 100e^{-0.023*30} = 100e^{-0.69} = 50.16[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{50.16 - 97.73}{29} = \frac{-47.57}{29} = -1.64[/tex]

By comparing the values of the calculated rates,

-2.03 is the smallest, in other words; the fastest rate

Hence, the interval [1,10] has the fastest rate of decay

The required average rate of change is the fastest on [tex][1,10][/tex].

The formula for the average rate of change on the interval [tex][a,b][/tex]  is,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{b-a}[/tex]

Now, applying the given function into the above function is,

Now, [tex]a=1,b=10[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{10-1} =-2.03[/tex]

Now, [tex]a=10,b=20[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{20-10} =-1.6325[/tex]

Now, [tex]a=15,b=25[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{25-15} =-1.455[/tex]

Now, [tex]a=1,b=30[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{30-1} =-1.64[/tex]

So the average rate of change is fastest on [tex][1,10][/tex]

Learn more about the topic of the average rate of change:

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Answer:

400 grams

Step-by-step explanation:

If the equation is density = mass / volume, fill it out to find mass

10 = x / 40

400 = x

x = 400 g

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)

Answer:

2

Step-by-step explanation:

3/4+5/4=8/4=2

Answer:

264

Step-by-step explanation:

Area= 1/2•b•h

=2(1/2)(b)(h)+3(b)(h)

=2(1/2)(6)(4)+3(16)(5)

=264

Answer:

40

Step-by-step explanation:

Substitute 25 for x

[tex] {25}^{2} - 30(25) + 225 = 100[/tex]

100 is the area of the square so that means

10 is the side length of each side of the square.

Multiply 4 by 10 to get the perimeter.

[tex]4 \times 10 = 40[/tex]

Answer:

Step-by-step explanation:

Answer:

y=5 x=-2

Step-by-step explanation:

Answer:

x-2 =0

x=2

Step-by-step explanation:

we take -2 to the anther side it becomes 2

Answer:

-2

Step-by-step explanation:

A function is a rule for working out the values y for the given values x

For example, h = 3x and y = x^2 are functions. The notation g(x) is read as g of x. g is the function. g(x) = 3x means the function of x is 3x

So, when solving to find the value of x, you must substitute x for any given value.

For example, f(x) = 10/x. Work out f(5), you must substitute the 5 into the denominatior of the fraction 10/x . This becomes 10/5, which equals to 2.

But for your question, to find the value of x, substitute x with 0

You end up with -2

Hope this helps

BtW. the above statements are just notes. i thought they might help.

Answer:

[tex]y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)[/tex]

Answer: [tex]33,007.9\ ft[/tex]

Step-by-step explanation:

Given

The plane is cruising at an altitude of [tex]h=10,200\ ft[/tex]

The angle of depression is [tex]\theta=18^{\circ}[/tex]

Suppose the distance of the plane to the runway is x

from figure

[tex]\Rightarrow \sin 18^{\circ}=\dfrac{h}{x}\\\\\Rightarrow \sin 18^{\circ}=\dfrac{10,200}{x}\\\\\Rightarrow x=33,007.9\ ft[/tex]

Speed = Distance/Time

So, speed

= 300 km/2h

= 150km/h

= (150 × 1000m) / 3600s

= 150000m/3600s

= 41.66m/s [approximately]

Answer:

17.5  

Step-by-step explanation:

180 = 40+ 8x

140 = 8x

17.5  = x

Answer:

17.5 is the correct answer to the question

Step-by-step explanation:

8x+40=180

8x=180-40

8x=140

X=140/8

X=17.5

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

The external angle at V is half the difference of the subtended arcs:

  (65° -25°)/2 = x° = 40°/2

  x = 20

Answer:

wrong

Step-by-step explanation:

Answer:

5.9

Step-by-step explanation:

Answer:

the length of the third side (the hypotenuse) is 7

Step-by-step explanation:

Solve this by using the Pythagorean Theorem:

(2√10)² + 3² = (hypotenuse)²

Then (hypotenuse) = √(40 + 9) = √49 = 7

Answer:

7

Step-by-step explanation:

2 root 10 ^2 is 40

3 squared is 9

root of 49