Please help i do not understand how to solve this type of question
Find the average rate of change of a function given its equation

Answer: The answer is 139 feet

H = height of the pole =?

BC = ED = height of the transit = 4 ft

CD = BE = distance moved away from the base of the pole = 140 ft

Consider the ΔABE

tan44 = AE/BE

tan44 = h/140

h = 140 tan44

h = 135.2 ft

H = height of pole = AE + ED = h + ED = 135.2 + 4

H = 139.2 ft

Step-by-step explanation:

.3 * 365.25 = 109.575

365 - 109.575 = 255.425 = $255.43

If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

Percentage of dinner out = 65% - 40% = 25%

For 200 total tickets:

Number of dinning out raffle = 25% of 200 = 0.25 * 200 = 50 ticket

If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.

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Hi there!

a)

We can approximate g'(3) by finding the slope of g(t) over an interval containing t = 3.

We can use the endpoints t = 1 and t = 5 min for the best estimate.

[tex]slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20.5-15.1}{5-1} = \boxed{1.35 \frac{ft^3}{min^2}}[/tex]

This means that the rate of grain being added to the silo is INCREASING at a rate of 1.35 ft³/min². (Or in other words, the grain is being poured at an increasingly greater rate)

b)

The total amount of grain added is the integral of g(t), so:
[tex]\text{total amount of grain} = \int\limits^8_0 {g(t)} \, dt[/tex]
We can do a right riemann sum by using the right endpoints (t = 1, t = 5, t = 6, t = 8) to calculate.

Riemann sums are essentially rectangles added up to calculate an approximate value for the area under a curve.

The bases are the spaces between each value in the chart, while the heights are the values of g(t).

Using the intervals and values in the chart:

[tex]1(15.1) + 4(20.5) + 1(18.3) + 2(22.7) = \boxed{160.8 ft^3}[/tex]

c)
We can subtract the two integrals to find the total amount of unspoiled grain.

With g(t) being fresh grain and w(t) being spoiled grain, let y(t) represent unspoiled grain.

[tex]y(t) = \int\limits^8_0 {g(t)} \, dt - \int\limits^8_0 {w(t)} \, dt[/tex]

Use a calculator to evaluate:
[tex]y(t) = 160.8 - \int\limits^8_0 {w(t)} \, dt = 160.8 - 99.05 = \boxed{61.749 ft^3}[/tex]

d)
We can do the first derivative test to determine whether the amount of grain is increasing or decreasing. (Whether the first derivative is positive or negative at this value).

For the above integral, we know that the derivative is:
[tex]y'(t) = g(t) - w(t)[/tex]

Plug in the values for t = 6:

[tex]w(6) = 32 \cdot \sqrt{sin(\frac{\pi (6)}{74})} = 16.06[/tex]
[tex]y'(6) = g(6) - w(6) = 18.3 - 16.06 = 2.23 \frac{ft^3}{min}[/tex]

This value is POSITIVE, so the amount of unspoiled grain is INCREASING.

Buddy it's actually Isosceles Triangle because of the symbols used in the diagram

Answer:  that equivalent to the expression 2x+3x+8-3x-2 would be the choices A and C. If you notice, in choice A, you have just combined all the like terms which results in 2x+6 and in Choice C, you have combined all your constants and the the two terms 2x and 3x resulting in 5x-3x+6 which all remain equivalent to he original given expression

Step-by-step explanation:

Answer:

adg

Step-by-step explanation:

adg is the range for the side lengths AB of ABC

Hope it's help

Answer:

482.96 meters, Hope that helped

Answer:

19.40-14=5.40

5.40÷0.20=ounces

Hope this helps!!!

Answer:

27 ounces

Step-by-step explanation:

$14 package original charging fee

+ .20x27 = 5.40

14 + 5.4 = 19.4

$19.4

Answer:

I'm pretty sure this is correct.

2/3 * 3 = 6/9

6/9 + 4/9 = 10/9

Simplified it's 10 1/9, so the final answer is 10 1/9.

Answer:

Hope this answer helps you !

Answer:

a)

Step-by-step explanation:

[tex]\dfrac{3p-1}{p^2-1}[/tex]

Factorize the denominator:

[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}[/tex]

Therefore,

[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{A}{p+1}+\dfrac{B}{p-1}[/tex]

[tex]\implies 3p-1=A(p-1)}+B(p+1)[/tex]

When p = 1:

[tex]\implies 2=A(0)}+B(2)[/tex]

[tex]\implies B=1[/tex]

When p = -1:

[tex]\implies -4=A(-2)}+B(0)[/tex]

[tex]\implies A=2[/tex]

Therefore,

[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{2}{p+1}+\dfrac{1}{p-1}[/tex]

Answer:

582.76 square inches of glass is required to construct the tank.

Step-by-step explanation:

Base dimension = 22×12 inches

volume of fish tank =3960 cubic inches

volume= l×b×h

3960=22×12×h

h=3960/(22×12)

h=3960/462

h=8.57 inches

the glass used=lateral surface area of a rectangular prism

=2h(l+b)

=2×8.57(22+12)

=17.14(34)

=572.76square inches

Answer:

83

Step-by-step explanation:

all triangles =180° total

180-53-44=83°

Answer: THE ANSWER IS 18/42 IF YOU LOOKED THIS UP FOR HEGARTY MATHS THEN THIS IS RIGHT!!!!! Originally Answered: There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced.

Answer:

5.step 1

26=y+x

y=x

26=x+x

26=2x

then x=13

6.substitute y with the given equation equal to y the equate them with the first one and collect like terms the find x

Answer:

X=6

Step-by-step explanation:

Explanation in the picture

1. Substitute f(x) = -4 into f(x)= x^2 - 12x + 32

Step-by-step explanation:

f(x)=x^2-12x+32

divide both sides by 4

answer -1/4x^2+3x-8

sorry if im wrong lol

Answer:

y= -7

Step-by-step explanation:

y=ax+b

Find a where a=y2-y1 /x2-x1

y2=13,y1=5 x2=5,x1=3

substituting the values

a=13-5/5-2

a=8/2

a=4

substituting a into the formular

y=4x+b

taking x and y values let say 3 and 5 for x and y

the equation becomes

5=4(3)+b

5=12+b

5-12=b

-7=b

substituting the values of a and b into the equation

y=4x-7

when x=0

y=4(0)-7

y=0-7

y=-7

so when x=0,y=-7

Answer: Perimeter: 29         Area : 2593.5

Step-by-step explanation:  Perimeter is plus it all together and the area is times altogether.   Hope that helps! :)

Answer:

3159

Step-by-step explanation:

This is Geometric Sequence where its common ratio =39/13=117/39=3

The Geometric Sequence General Formula = [tex]a_{n} =a*r^{n-1}[/tex]

where a is the 1st Term and r is the common ration

[tex]a_{6} =13*3^{6-1}=3159[/tex]

Answer:

[tex]\frac{33}{16}[/tex]

Step-by-step explanation:

33/16 is the answer

Answer:

ii.

Step-by-step explanation:

because i had this same problem and was told that was the answer

Answer:

This would be a compound sentence

Step-by-step explanation:

Hope that helps

Answer:

14

Step-by-step explanation:

Relative Frequency =  [tex]\frac{Frequency*100}{Total Frequency}[/tex]

Frequency for the class with lower class is 23 =7

Total Frequency= 7+7+7+9+9+9+2=50

Relative Frequency =  [tex]\frac{7*100}{50}[/tex] = 14

The relative frequency for lower class limit 23 is 14

Answer:

its C 40

Step-by-step explanation:

The arrangement in order of increasing radius is F⁻ < O²⁻ < Ne < Br⁻  < Rb

This is the distance between the outermost electron and the nucleus

This is the arrangement of electrons around the nucleus

This is the radius of an atom forming ionic bond

So, we have the electronic configurations of the corresponding ions in increasing order of ionic radius

F⁻ - 2, 8, < O²⁻ - 2, 8 < Ne - 2, 8 < Br⁻ - 2, 8, 18, 8 < Rb - 2, 8, 18, 8, 1

So, the arrangement in order of increasing radius is F⁻ < O²⁻ < Ne < Br⁻  < Rb

Learn more about ionic radius here:

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