Here's the rest of the questions

Differentiate

[tex]\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)[/tex]

[tex]\\ \rm\rightarrowtail 4x+9[/tex]

f'(5):-

Option C

instantaneous rate can be found by differentiating the function.

Here,

so differentiating:

So when x = 5,

Step 1: Find the Slope

Parallel lines have the same slope, therefore the slope of our new line is also -7.

Step 2: Find the Y-Intercept

Once we have the slope and a point on the line, we can solve for the y-intercept. Plug in the slope and the given point into slope-intercept form and solve for b.

Slope-Intercept Form: y = mx + b

Slope = -7

Point = (0, 4)

4 = -7(0) + b

b = 4

Step 3: Form the Equation of the Line

Now that we have both the slope and the y-intercept of the new line, all that's left to do is plug those values into slope-intercept form.

Slope-Intercept Form: y = mx + b

m = -7

b = 4

Equation of the New Line: y = -7x + 4

Answer: y = -7x + 4

Hope this helps!

Answer:

y = -7x + 4

Step-by-step explanation:

Given

Solving

Answer:

Step-by-step explanation:

Answer:

1.  The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Step-by-step explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

      1500    /                                    p

c = 1500 / p

Answer:

1.  The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Step-by-step explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

     1500    /                                    p

c = 1500 / p

The area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

Area of a parallelogram  = (its height × its base) sq. units.

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units[/tex]

For this case, the missing diagram is attached below.

If we take the base as ST then as ST is parallel to y axis, the line perpendicular to ST would be parallel to x axis. The heigth of a parallogram  is the perpendicular distance between its base and top.

The base is ST and top is RU, the line segment US is perpendicular to both RU and US and its length,therefore, will serve as height as its length=perpendicular distance between the base and the top of the parallelogram.

Thus, we get:

Area of RTSU = Length of ST × Length of US

The coordinates of endpoints of ST are (4,-1), (4,-4)

Thus, the length of ST = distance between S and T = [tex]\sqrt{(4-4)^2 + (-1 - (-4))^2 }= 3[/tex]

The coordinates of endpoints of US are (-3,-1), (4,-1)

Thus, the length of US = distance between U and S = [tex]\sqrt{(-3-4)^2 + (-1 - (-1))^2 }= 7[/tex]

Thus, Area of RTSU = Length of ST × Length of US = 3 × 7 = 21 sq. units.

Thus, the area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

Learn more about distance between two points here:

brainly.com/question/16410393

Answer:

21 square units I think

Step-by-step explanation:

Answer:

probably 20 man think about it

Step-by-step explanation:

Answer:

Lilit- 17 candles

Sergio- 19 candles

Step-by-step explanation:

this is the most probable answer.

Answer:

A) $ = 2m + 26

B) $70

Step-by-step explanation:

For a, I know they already sold 13 for $2, meaning they made $26.  I know that for each muffin, they will make $2, meaning 2m + 26.

For b, you substitute 22 for m, and solve, getting $70.

Answer:

Yes, Chen is correct.

Step-by-step explanation:

Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.

1/4 = 0.25

1/5 = 0.20

Therefore, Chen is correct.

======================================================

Explanation:

Transformation V reflects over the line y = 0, which is the x axis. All points on the x axis have a y coordinate of zero. Examples are (1,0) and (2,0).

To reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. Example: The point (1,5) moves to (1,-5).

In general the rule is [tex](x,y) \to (x,-y)[/tex]

---------------------

Transformation W rotates the point 90 degrees clockwise around the origin (0,0). The rotation rule is [tex](x,y) \to (y,-x)[/tex].

For example, the point (1,7) rotates to (7,-1) when doing a 90 degree clockwise rotation around the origin. We move from the northeast quadrant to the southeast quadrant.

As you can see, we swap the x and y coordinates. Then we do a sign flip on the new y coordinate.

----------------------

Transformation X combines the two previous transformations. We do V first then W next. The order is important (see the next section as to why).

We're given the point (g,h) where we don't know g nor h.

The x axis reflection rule has us get to (g, -h) because we simply flip the y coordinate from positive to negative, or vice versa.

Then applying transformation W has us get to (-h, -g) as the final answer.

----------------------

As stated earllier, the order of the transformations is important. Let's say we did W first and then V next.

The point (h,g) is different from (-h, -g) showing that the order does affect where the final point ends up.

However, some transformations can be composited together without worrying about the order. An example could be having a translation followed by another different translation.

Answer:

Step-by-step explanation:

Answer:

It is a negative rational number. This is because it is an improper fraction that is equivalent to -2.

Step-by-step explanation:

Answer:

See below ↓↓↓

Step-by-step explanation:

Probability of getting heads

Probability of getting an odd number

The outcomes are equally likely because the probabiity of each outcome is the same.

s orbital mentioned

Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10

Rule for electron in nth shell=2n²

Answer:

r = 6.998 in

D = 13.996 in

C = 43.9697 in

Step-by-step explanation:

Area = π[tex]r^2[/tex]

153.86 = π[tex]r^2[/tex]

153.86/π = [tex]r^2[/tex]

sq root(153.86/π) = r ≈ 6.998 in

Diameter = 2r

D = 2(6.998) = 13.996 in

Circumference = 2πr

C = 2π(6.998)

C = 13.996π ≈ 43.9697 in

Hope this helps!

[tex]2x + 5 = 21[/tex]

Subtract both sides 5

[tex]2x + 5 - 5 = 21 - 5[/tex]

[tex]2x = 16[/tex]

Divide both sides by 2

[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]

[tex]x = 8[/tex]

Answer:

8

Step-by-step explanation:

To determine the value of "x", we need to isolate the "x" variable completely. The first step in isolating the variable is to remove the constant on the L.H.S. This can be done by subtracting 5 both sides.

⇒ [tex]2x + 5 = 21[/tex]

⇒ [tex]2x + 5 - 5 = 21 - 5[/tex]

⇒ [tex]2x = 16[/tex]

The last step in isolating the "x" variable is to isolate the cooeficient of x. This can be done by dividing the cooeficient of x both sides.

⇒ [tex]2x = 16[/tex]

[Cooeficient of x is 2]

⇒ [tex]\frac{2x}{2} = \frac{16}{2}[/tex]

⇒ [tex]x = \frac{16}{2} = 8[/tex]

In conclusion, the value of the "x" variable is 8.

Answer:

x=-1

Step-by-step explanation:

1.(-9-11)(-4)/-7^2+(11*2^2)

2. =-20/-4/-7^2+11(2^2)

3. =5/7^2+11(2^2)

4. =5/-49+11(2^2)

5. =5/-49+(11)(4)

6. = 5/-49+44

7.=5/-5

8. x=-1

18.0% which is the same as 18%

==========================================================

Work Shown:

p = purchase price = $281,700

c = closing costs

c = 2.4% of purchase price

c = 0.024p

c = 0.024*(281,700)

c = 6,760.80

d = unknown down payment amount

m = total move in costs = $57,466.80

m = d + c

d = m - c

d = 57,466.80 - 6,760.80

d = 50,706

down payment percent = d/p = (50,706)/(281,700) = 0.18 = 18%

18% of the purchase price is the down payment.

Answer:

8.75

Add everything together

Answer:

1 1/2 or 1.5

As a simplified fraction

If this helped pls give brainlest.

a) she put the numbers in the wrong place, V2 ≠2

b) V32= 4V2

Answer:

22/12

Step-by-step explanation:

Answer:

y = 10x

Step-by-step explanation:

If x represents the hours & y represents the miles, your equation should be in multiplication.

10 miles an hour would be 10x and y would be the total. You can also plug in the answer to check. Let's say x is 2. Plug that into 10x and you get 10(2) = 20 and since y is 20, that'd be 20 miles. Therefore, you'd be running 20 miles in 2 hours, which makes sense because your rate is 10 miles an hour.

(3+√3) x (2+√2)

6 + 3√2 + 2√3 + √3√2

6 + 3√2 + 2√3 + √6

Answer:

6 + 2√3 + 3√2 + √6

Step-by-step explanation:

The equation :

(3 + √3)(2 + √2)

Using Distributive Property,

[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]

[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: K} & \\ & \sf \\ \sf{Q( 0, 0 )\: U( c, d )}\\ \tiny \times = \times \frac{ \times 1 \: + y \: 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} \\ \tiny{ \times = \frac{0 \: + \: c}{2} \: y = \frac{0 \: + \: d}{2} } \\ \tiny{ \times = \frac{c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny \red{the \: coordinates \: of \: point \: K \: are \: ( \frac{c}{2} . \frac{d}{2} )} \end{array}}}\end{gathered} [/tex]

[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: H} \\ \\ \tiny{b),d] D(a,0)} \\ \tiny \times = \frac{ \times 1 \times 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} & \\ \tiny{ \times = \frac{a + (c + b)}{2} \: \: y = \frac{0 + d}{2} } &\\ \tiny{ \times = \frac{a + b + c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny\red{ The\: coordinates\: of\: point \:H\: are ( \frac{a + b + c}{2} , \frac{d}{2} ) }\end{array}}}\end{gathered} [/tex]

[tex] \sf \: k( \frac{c}{2} . \frac{d}{2} ) \: \: \: h( \frac{a + b + c}{2} . \frac{d}{2} )[/tex]

[tex] \sf \: d = \sqrt{(x2 - \times 1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex] \sf \: kh = \sqrt{ \frac{[a \: + \: b \: + \: c}{2} - \frac{c}{2} {}^{2} + ( \frac{d}{2} - \frac{d}{2}) ^{2} } [/tex]

[tex] \sf \: kh = \sqrt{ (\frac{a + b}{2}) {}^{2} + (0) {}^{2} } [/tex]

[tex] \sf \: kh = \sqrt{( \frac{a + b}{2}) {}^{2} } [/tex]

[tex] \sf \: kh = \frac{a + b}{2} [/tex]

[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]

Answer:

Move the point on the diagonal to (1,4) then move the vertex 4 units left and 3 units upwards

Step-by-step explanation:

Answer:

X = 2

AB = 39

CB = 27

Step-by-step explanation:

Since it's a parallelogram (two pairs of parallel sides), we can set each opposite side equal to each other. We know the equation for two opposite sides, side AD and side CB, therefore:

[tex]AD=CB\\14x-1=9x+9\\5x=10\\x=2[/tex]

Now that we know x, we can solve the other equations:

[tex]12x+15=AB\\12*2+15=AB\\24+15=AB\\39=AB[/tex]

And:

[tex]9*2+9=CB\\18+9=CB\\27=CB[/tex]