-2 2/3 divided by 1 5/6 + 2
NO MIXED NUMBERS

Answer:

8+h

Step-by-step explanation:

Simply substitute x = 2+h and x = 2 in.

[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{(2+h)^{2} +4(2+h)+5-[(2)^2+4(2)+5]}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{4+4h+h^2 +8+4h+5-17}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{h^2 +8h}{h}=h+8}[/tex]

Therefore, the answer is h+8 or 8+h.

Another way is to differentiate the function with respect to x. This equation or expression is rate of changes from 2 to 2+h with h being any numbers.

The definition of derivative is:

[tex]\displaystyle \large{f\prime(x)= \lim_{h \to 0}\frac{f(x+h)-f(x)}{h}}[/tex]

Notice how both f(2+h)-f(2) over h and the definition of derivative look same except the derivative has limit of h approaching to 0, making h not having any values by default.

Since f(2+h)-f(2) over h does not have limit, we have to add +h when differentiating the function.

[tex]\displaystyle \large{f\prime(x)=2x+4}\\\displaystyle \large{f\prime(2)=2(2)+4}\\\displaystyle \large{f\prime(2)=8}[/tex]

Since f’(2) is 8 but because f(2+h)-f(2)/h does not have limit of h, therefore we add +h.

[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=8+h}}[/tex]

Answer:

1/10

Step-by-step explanation:

The permutation only occurs once during the 10 trials hence 1/10

Answer:

$24,500 of commission

Step-by-step explanation:

350000*0.07 = 24,500

Answer:

$65.52

Step-by-step explanation:

52 x 6% = 3.12. Multiply the price of the meal by the percentage of sales tax

52 x 20% = 10.4. Multiply the price of the meal by tip percent

$3.12 is the sales tax on the meal

$10.40 is the tip amount

$52 + $3.12 + $10.40 = $65.52

Add sales tax and the tip amount to the price of the meal to find the total

Answer:

Step-by-step explanation:

Not sure what you require but (165/750) * 100

= 0.22 * 100

= 22% are children

Answer:4(x+1)

Step-by-step explanation:

4x+1

Answer:

Step-by-step explanation:

x-2y=-2     x=2y-2

7x-3y=19

substitute x  with 2y-2

7(2y-2)-3y=19     14y-14-3y=19       11y=33   y=3

substitue 3 for y

x-2(3)=-2     x-6=-2      x=4

x=4, y=3

btw if theres more similar questions like this use symbolab a website that solves and show you step by step in solving equations

really useful

This can be answered by the equation 10,000 / 7.5 = 1,333.33, so we can round to 1,333.

Hope this helps!

Answer: 1333

Step-by-step explanation:

Answer: 33

Step-by-step explanation: In the problem, you are given the figure with the following:

2x+3 and 3x+12

Method: Lets set this into an equation. Remember that straight lines add up to 180°.

2x+3+3x+12=180°    Combine like terms.

5x+15=180°

5x=165°

x=33°

You can always plug in 33° in the expression that was set to make sure it does give you 180°.

Hope this helps.

Answer:

33

Step-by-step explanation:

Take L.H.S sin2A+sin2B/sin2A-sin2B

= sin2A+sin2B/sin2A-sin2B

Put

[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]

[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]

= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)

= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)

= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)

= tan(A+B).cot(A-B)

= tan(A+B).1/tan(A-B)

= tan(A+B)/tan(A-B)

∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)

Answer:

Hope it will help you...

Answer:

Step-by-step explanation:

(2 less than the product of 5 and a number)

Conclusion:

Therefore:

Hoped this helped.

[tex]GeniusUser[/tex]

Answer: 50/63 or 0.793650

Step-by-step explanation:

Answer: 62 miles per hour

Step-by-step explanation:

620/10 = 62

The speed of Ryan is given by the slope m = 62 miles per hour

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , 186 )

Let the second point be Q ( 4 , 248 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 248 - 186 ) / ( 4 - 3 )

m = 62 miles per hour

Hence , the rate of change of speed is m = 62 miles per hour

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

20

Step-by-step explanation:

you know the ratio is 4:3 so you do 4+3=7 then you do 140÷7=20 so I bar represents 20

1−w−w2=64

Step 1: Simplify both sides of the equation.

−w2−w+1=64

Step 2: Subtract 64 from both sides.

−w2−w+1−64=64−64

−w2−w−63=0

For this equation: a=-1, b=-1, c=-63

−1w2+−1w+−63=0

Step 3: Use quadratic formula with a=-1, b=-1, c=-63.

w= −b±√b2−4ac /2a

w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)

w= 1±√−251/ −2

Answer:

x < -15

Step-by-step explanation:

Divide both sides by -2.

Next you will reverse the sign because you are dividing by a negative number.

The three consecutive terms in an AP are (k+1) ,3k and (4k+2)

We know that

If a,b,c are the three consecutive terms in an AP then b = (a+c)/2

now ,

Let a = k+1 , b = 3k and c = 4k+2

⇛3k = (k+1+4k+2)/2

⇛3k = (5k+3)/2

⇛2×3k = 5k+3

⇛6k = 5k+3

⇛ 6k-5k = 3

⇛ k = 3

The value of k = 3

also read similar questions: if there consecutive terms of an AP are k+2 ,4k -6 and 3k-2 . What is the value of k....

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Hi!

We can see the numbers are increasing by 7, therefore your equation would be:

n = p + 7

"p" represents the previous number, and "n" represents the number you're trying to find.

Hope this helps! :D

The angles are 29° and 61°.

Let the smaller angle be x

Let the larger angle be x+32.

The sum of the complimentary angles will be 90°.

Therefore, x + x + 32° = 90°

2x + 32° = 90°

2x = 90° - 32°

2x = 58°

x = 58/2

x = 29°

The larger angle = x + 32 = 29 + 32 = 61°

Answer:

Approximately [tex]\text{$0.26$ radian}[/tex] every minute.

Step-by-step explanation:

Convert the unit of velocity (kilometers-per-hour) to meters-per-minute so as to match the unit of radius (meters) and angular velocity (per-minute.)

[tex]\begin{aligned}v &= 11\; \rm km \cdot h^{-1} \\ &= 11 \times \frac{1000\; \rm m}{1\; \rm km} \times \frac{1\; \rm h}{60\; \text{minute}} \\ &\approx 183.33\; {\rm m} \cdot\text{minute}^{-1}\end{aligned}[/tex].

Calculate the circumference of this circle:

[tex]\begin{aligned}c &= 2\,\pi\, r \\ &= 2 \, \pi \times 700\; \rm m \\ &\approx 4398.2\; \rm m\end{aligned}[/tex].

Find the time required (in minutes) for this vehicle to go around this circle:

[tex]\begin{aligned}\frac{4398.2\; \rm m}{183.33\; {\rm m} \cdot \text{minute}^{-1}} \approx 23.990\; \text{minute}\end{aligned}[/tex].

A full circle corresponds to an angle of [tex]2\, \pi \; \text{radian}[/tex] ([tex]360^{\circ}[/tex].) In other words, this vehicle would have turned [tex]2\, \pi \; \text{radian}\![/tex] in approximately [tex]23.990\; \text{minute}[/tex] if it travels at a constant speed. The rate at which this vehicle turn would be:

[tex]\begin{aligned}\frac{2\, \pi}{23.990\; \text{minute}} \approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].

In general, for angular velocity [tex]\omega[/tex], radius [tex]r[/tex], and velocity [tex]v[/tex], [tex]v = \omega\, r[/tex]. After updating the units, the angular velocity of this vehicle (the rate at which it turns) may also be found as:

[tex]\begin{aligned}\omega &= \frac{v}{r} \\ &\approx \frac{183.33\; \rm m \cdot \text{minute}^{-1}}{700\; \rm m} \\ &\approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].

Answer:

no its b

Step-by-step explanation:

Answer:

yup

Step-by-step explanation:

Answer:

uhhhhhhhhhhhh what does this say?

Step-by-step explanation:

1) plot a point at (0,-5)

2) count 3 units up and 5 units to the right, plot the new point

3) connect the points with a straight line

Answer:

-3

Step-by-step explanation:

3(-2)/2

-6/2 = -3

Answer:

I don't under stand the question can u write more clearly

Answer:

Step-by-step explanation:

f(9) = |9 + 9| = |18| = 18

f(-4) = |-4 + 9| = |5| = 5

f(0) = |0 + 9| = |9| = 9

pretty boring examples as you're always taking the absolute value of a positive number.

what do you suppose f(-12) is???

f(-12) = |-12 + 9| = |-3| = 3

Answer:

x = 72

Step-by-step explanation:

3/8=27/x

cross multiply

3*x=3x   27*8=216

divide

216/3=x

x=72

14.05 at most

If it is saying at least, than it would be in the cooler for longer than it should be and drop below 60.5

If saying more than 14.05, it is basically the same thing where it is inside the cooler for longer than it should be

If saying at most, that means that 14.05 is the max it would be in the cooler and keeps the liquid above 60.5

Answer: im late but here you go

12/2/22

Step-by-step explanation:

7 can be written as :-

7 + 0 = 7

7 - 0 = 7

7 × 1 = 7

7 ÷ 1 = 7

7¹ = 7

_____

Hope it helps ⚜