Emily hires a gardener to do some work in her back yard. The gardener charges a fixed cost of $50 plus $60 per hour.
What is the cost for 1 hour?

Answer:

-2<x<4

Step-by-step explanation:

For [tex]\frac{x+2}{x-4} < 0[/tex], note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.

This means x+2>0 and x-4<0 or x+2<0 and x-4>0.

Lets look at the first scenario (x+2>0 and x-4<0)

x+2>0 and x-4<0

x>-2 and x<4

This means that -2<x<4.

Let’s look at the other scenario (x+2<0 and x-4>0)

x+2<0 and x-4>0

x<-2 and x>4

This means that x must be <-2 and >4 simualtaneously, which is impossible.

Therefore, this only occurs when -2<x<4.

I hope this helps! :)

Answer:

The value of the slope is 4

The meaning of the slope is y/x

Step-by-step explanation:

Answer:

d. 7.5 cm²

Step-by-step explanation:

Area of sector = central angel/360 × πr²

Central angle = 180° - 84° = 96° (supplementary angles)

BA = radius (r) = ½(6) = 3 cm

Plug in the values

Area of sector = 96/360 × π*3²

= 7.53982238

= 7.5 cm² (nearest tenth)

9514 1404 393

Answer:

Step-by-step explanation:

Part A:

The two right-angle corners of the triangular bases are at either end of the same edge. This is only shown correctly in Net A.

__

Part B:

See the attached annotated diagram. Dimensions are in inches.

__

Part C:

The total surface area is the sum of the three central rectangles of the net and the two triangles. As shown in the attached, the two triangles can be considered as one rectangle of dimensions 3 in by 4 in.

The total area is ...

  Surface area = base area + face area

  = (3 in)(4 in) + (3 + 4 + 5 in)(7.2 in) = 12 in² +86.4 in²

  Surface area = 98.4 in²

Answer:

use photo math

Step-by-step explanation:

cuz i said so

Answer:

20

Step-by-step explanation:

2(3p+4)

Let p=2

2(3*2+4)

Multiply inside the parentheses

2(6+4)

Add inside the parentheses

2(10)

Multiply

20

Hola aquí va la respuesta!!!

[tex]20[/tex]

[tex] \saludos[/tex]

Answer:

I'm sorry but the question is not clear enough for me to understand the question asked snap the entire question

Answer:

A) h = 60

Step-by-step explanation:

Answer:

[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]

Step-by-step explanation:

Given

[tex]y" + 9y' + 18y = 24x^2 + 40x + 8 + 12e^x[/tex] ---- (1)

[tex]y_p(x) = e^x + 4x^2[/tex]

Required

The general solution of [tex]y(x)[/tex]

Let

[tex]y = e^{nx}[/tex] be the trial solution of (1)

So:

[tex]y" + 9y' + 18y = 0[/tex] becomes

[tex]n^2 + 9n + 18 = 0[/tex]

Expand

[tex]n^2 + 6n+3n + 18 = 0[/tex]

Factorize

[tex]n(n + 6)+3(n + 6) = 0[/tex]

Factor out n + 6

[tex](n + 6)(n + 3) = 0[/tex]

Split

[tex]n +6 = 0\ or\ n + 3 = 0[/tex]

Solve for n

[tex]n =-6\ or\ n = -3[/tex]

So:

[tex]y = e^{nx}[/tex] becomes:

[tex]y = c_1e^{-6x} + c_2e^{-3x}[/tex]

[tex]y_p(x) = e^x + 4x^2[/tex] becomes

[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]

Where: [tex]c_1[/tex] and [tex]c_2[/tex] are arbitary constants

Answer:

[tex]132m^2[/tex]

Step-by-step explanation:

[tex]3*4=12[/tex]

[tex]5*10=50[/tex]

[tex]4*10=40[/tex]

[tex]3*10=30[/tex]

Add all these up

[tex]12+50+40+30=132[/tex]

Hope this helps

Answer:

The surface area is 132.

Step-by-step explanation:

6+6+50+40+30 is equal to 132, how I got this answer was I first multiplied 4 and 3 then divided by 2 (since triangles are equal to base times height divided by 2), since there are two triangles there will be two sixes, the length is 10 and the width is 5 so I got 50, the length is 4 and the width is 10 so I got 40, lastly the length is 10 and the height is 3 so I got 30.

Answer:

72 ft.

Step-by-step explanation:

In this problem, we are looking for the perimeter of the kennel. The perimeter of a rectangle has the formula, [tex]P=2l+2w[/tex], where l represents the length of the rectangle and w represents the width of the rectangle. We are given both the length and the width (or simply the two sides) of the rectangle, and all we need to do is plug it into the formula!

[tex]P=2*22+2*14\\P=44+28\\P=72[/tex]

Therefore, it would require 72 ft. of fencing to enclose the kennel.

I hope this helps! Let me know if you have any questions :)

depends on what u believe in if u think he existed then yes if you dont then no

Answer: 924

Step-by-step explanation:

1. Use the combination formula nCr = n!/(n-r)!r!

Using this formula gets you 16 (n) C 6 (r) = 12!/6!6! Which is also 12 • 11 • 10 • 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 / 6 • 5 • 4 • 3 • 2 • 1 • 6 • 5 • 4 • 3 • 2 • 1

2. Cancel out matching multiples that are in the numerator and denominator

This gets you 12 • 11 • 10 • 9 • 8 • 7 / 6 • 5 • 4 • 3 • 2 • 1 or 665280/720 when you simplify which leads you to the answer 924

Hope this helps!

Answer:

924

Step-by-step explanation:

Answer:

Side a = 10.44031

Side b = 10

Side c = 3

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad

Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Answer:

10 bars ; width 10

Step-by-step explanation:

Reordering the data given :

2, 3, 8, 9, 10, 14, 14, 15, 15, 17, 18, 20, 22, 24, 26, 29, 36, 39, 39, 39, 41, 43, 44, 50, 50, 52, 52, 52, 60, 60, 60, 62, 65, 69, 71, 72, 77, 78, 82, 86, 87, 87, 91, 93, 93, 97, 98, 98, 98, 98

To know the number of bars and width to use, we need to know the range of the data, from there we can decide the most appropriate width and also the number of bars we get using the width ;

Range = 98 - 2 = 96

By extending the width slightly on either side, we have 0, 100.

If we start from the origin, 0 ; and the maximum data point = 98 ; by slightly extending the width to 100 ; we could make use of a very reasonable width of 10; which is easier to work with than lesser width values ;

Now our range = 100 - 0 = 100

Width = 10

Number of bars = range / bar width

= 100 / 10

= 10 bars

Answer:

D

Step-by-step explanation:

x^2 - 7x + 12 +  (x - 3)^2             Add (x - 3)^2 after it has been expanded.

x^2 - 7x + 12 + x^2 - 6x + 9        Combine like terms

2x^2 -7x - 6x + 21

2x^2 - 13x + 21                           Factor

(2x - 7)(x - 3)

Which is exactly what D says.

Answer:

A

Step-by-step explanation:

I hope this helped you :-)

B. 5,000 feet

0.5 miles is only 3,390ft

500 yards is only 1,500ft

5,000 inches is only 416ft 8in

Hope this helps! :)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

There is no solution to the equation.  

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\-3(4x-6)=7-12x\\-------------\\\rightarrow -12x+18 = 7 - 12x\\\\\rightarrow -12x + 18 - 18 = 7 - 18 -12x\\\\\rightarrow -12x=-12x-11\\\\\rightarrow-12x+12x = -12x+12x - 11\\\\\rightarrow 0 = -11\\\\\boxed{\text{This is a \underline{contradiction}. There is no solution.}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

t stands for time in those formulas

Step-by-step explanation:

and

u is for initial velocity

R is for range

H is height

Answer:

Step-by-step explanation:

Step-by-step explanation:

hope it help thanks

pls mark me as brainliest

Answer:

1 : 2

Step-by-step explanation: trust

Answer:

3/1 Hope that helps

Step-by-step explanation:

Answer:

(4, 2)

Step-by-step explanation:

after the triangle is rotated 270° about the origin,

the coordinate of the image of point B is:

(4, 2)

Step-by-step explanation:

the answer is in the image above

Answer:

The smallest possible length is 0.83m

Step-by-step explanation:

Given

[tex]Volume = 565L[/tex]

Required

The smallest length of the tank

Since the tank is cubical, then the volume is:

[tex]Volume = Length^3[/tex]

This gives:

[tex]565L= Length^3[/tex]

Express as [tex]m^3[/tex]

[tex]\frac{565m^3}{1000} = Length^3[/tex]

[tex]0.565m^3 = Length^3[/tex]

Take cube roots of both sides

[tex]0.8267m = Length[/tex]

Rewrite as:

[tex]Length = 0.8267m[/tex]

Approximate

[tex]Length = 0.83m[/tex]

Answer:

572.6

Step-by-step explanation:

400 = 220 [tex]x^{5}[/tex]

ln(400/220) = 5 ln(x)

ln(x) = .1195

x = [tex]e^{.1195}[/tex]

x = 1.127

Y = 220[tex](1.127)^{8}[/tex]

Y= 572.6

Answer:

1/4

Step-by-step explanation:

Skateboards  : wheels

12                    :     48

Divide each part by 12

12/12              :    48/12

1                       :4

[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]

There are Twelve skateboards have 48 wheels.,

we need to find the ratio of skateboards to wheels, in simplest form;

Hence,

Ratio of skateboard to wheel

Answer:

Correct answers is B -52

Step-by-step explanation:

Answer: -52

Step 1: Simplify both sides of the equation.

13x+−23=−18

Step 2: Add 2/3 to both sides.

13x+−23+23=−18+23 13x=−52 3

Step 3: Multiply both sides by 3.

3*(13x)=3*(−52 3)

Answer:

y" - 8y' + 15y = 0

2nd order Homogeneous DE.

Solving Quadratically

k² - 8k + 15 = 0

k= 5 or k= 3.

Two real and Unequal roots.

y= Ae^5x + Be^3x.

Answer:

14.73.

Step-by-step explanation:

Answer:

See image below for answer:)

Step-by-step explanation: