What is the arithmetic mean of the following numbers?
6,4, 1,9, 3, 8, 3, 5, 10

Answer:

The equation of the line is [tex]y = -\frac{x}{4} - 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(the value of y when x = 0).

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Line perpendicular to y = 4x + 4.

This line has slope 4, so our line will have slope:

[tex]4m = -1[/tex]

[tex]m = -\frac{1}{4}[/tex]

So

[tex]y = -\frac{x}{4} + b[/tex]

Through (0, -3)

This means that [tex]b = -3[/tex]

So

[tex]y = -\frac{x}{4} - 3[/tex]

Answer:

4 hours and 20 minutes

Step-by-step explanation:

I'll add the steps if you want me to.

Answer:

All you have to do is write how you feel about this it's simple :|

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the picture attached,

∠4 = 45°, ∠5 = 135° and ∠10 = ∠11

Part A

∠1 = ∠4 = 45°  [Vertically opposite angles]

∠1 + ∠3 = 180° [Linear pair of angles]

∠3 = 180° - ∠1

     = 180° - 45°

     = 135°

∠2 = ∠3 = 135°  [Vertically opposite angles]

∠8 = ∠5 = 135° [Vertically opposite angles]

∠5 + ∠6 = 180° [Linear pair of angles]

∠6 = 180° - 135°

∠6 = 45°

∠7 = ∠6 = 45° [Vertically opposite angles]

By triangle sum theorem,

m∠4 + m∠7 + m∠10 = 180°

45° + 45° + m∠10 = 180°

m∠10 = 180° - 90°

m∠10 = 90°

m∠10 = m∠12 = 90°  [Vertically opposite angles]

m∠10 = m∠11 = 90° [Given]

Part B

1). ∠1 ≅ ∠4  [Vertically opposite angles]

2). ∠7 + ∠5 = 180° [Linear pair]

3). ∠9 + ∠10 = 180° [Linear pair]

Answer:

   y² + 2 x y

Step-by-step explanation:

Given polynomials

                 x² + 3x y -y²   and x² + 5xy

The subtract  x² + 3x y -y²   from x² + 5xy

                  x² + 5xy - ( x² + 3x y -y²)

          ⇒     x² + 5xy -x² - 3xy +y²

       ⇒        2 x y + y²

Answer:

A. 15

Step-by-step explanation:

The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.

Using the segment addition postulate, The value of x is 15.

The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.

WE have been given the following parameters;

HI = 6x + 8

DJ = 2x - 4

HJ = 124

Then by using  the segment addition postulate,

HI + DJ + HJ

(6x + 8) +(2x - 4) = 124

8x + 4 = 124

8x = 120

x = 15

(6x + 8)  = 6(15) + 8 = 78

(2x - 4)  = 2(15) -4 = 20

Therefore, the value of x is 15.

Learn more about  the segment addition postulate,

https://brainly.com/question/17259950

#SPJ2

Answer:

x-5=4 or simply 4+5

Step-by-step explanation:

Im not sure if this is how you mean they both have a way of showing the sum of 4 and 5.

Answer:

4 + 4 + 1 = 9

Step-by-step explanation:

to solve this, we first find the sum of 4 and 5, which is 9.

Then, we can observe our answer choices, and see that option 4.) would be correct, because the sum still is equal to nine, even though the numbers are different from the original problem.

Answer:

5 ft

Step-by-step explanation:

Total area of turf and flower bed is [tex]1200\ \text{ft}^2[/tex]

Turf dimensions is 20 feet by 30 ft

Area of turf = [tex]20\times 30=600\ \text{ft}^2[/tex]

Area of flower bed = [tex]1200-600=600\ \text{ft}^2[/tex]

Let [tex]x[/tex] be the width of the flower bed so area of flower bed is

[tex]2\times 30x+2(20+2x)x=600\\\Rightarrow 30x+20x+2x^2=300\\\Rightarrow 2x^2+50x-300=0\\\Rightarrow x^2+25x-150=0\\\Rightarrow x=\dfrac{-25\pm \sqrt{25^2-4\times \:1\times \left(-150\right)}}{2\times \:1}\\\Rightarrow x=5,-30[/tex]

So, width of the flower bed is 5 ft.

Answer:

8

Step-by-step explanation:

Answer:

h ≅ 16.29 cm

[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]

Step-by-step explanation:

From the conical funnel;

Let the adjacent line at the base of the cone be radius (r) and the opposite ( vertical length) be the height (h)

Then;

[tex]tan \theta= \dfrac{r}{h}[/tex]

[tex]tan \theta= \dfrac{8}{16}[/tex]

[tex]tan \theta= \dfrac{1}{2}[/tex]

∴

[tex]\dfrac{r}{h} = \dfrac{1}{2}[/tex]

[tex]r = \dfrac{h}{2}[/tex]

The volume (V) of the cone is expressed as:

[tex]V = \dfrac{1}{3}\pi r ^2 h[/tex]

[tex]V = \dfrac{1}{3}\pi (\dfrac{h}{2})^2 h[/tex]

[tex]V = \dfrac{\pi h^3}{3\times 4}[/tex]

[tex]\dfrac{dv}{dt} = \dfrac{3 \pi h^2}{3 \times 4} \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dv}{dt} = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

Given that:

[tex]\dfrac{dv}{dt} = 12 \pi[/tex]

Then:

[tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

[tex]- \int 48 \ dt = \int h^2 \ dh[/tex]

[tex]\dfrac{h^3}{3}= -48 t + c[/tex]

[tex]At \ t = 0 \ ; h = 0[/tex]

∴

[tex]\dfrac{0^3}{3} = -48(0) + c[/tex]

c = 0

So;

[tex]\dfrac{h^3}{3}= -48 t + 0[/tex]

[tex]\dfrac{h^3}{3}= -48 t[/tex]

t = 30

[tex]\implies h = (-48(30))^{1/3}[/tex]

h = 16.2865

h ≅ 16.29 cm

Thus;

from [tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

[tex]\dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} } =\dfrac{dh}{dt}[/tex]

[tex]\dfrac{dh}{dt} = \dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} }[/tex]

[tex]\dfrac{dh}{dt}=\dfrac{-12 \times 4} { {16.29^2} }[/tex]

[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]

Answer:

[tex] - 9 \times - 10 = 90[/tex]

Step-by-step explanation:

the answer is -9

hello, it's easy❤

answer is -9

Answer:

55

_________

I just did this lol, Be safe <3

it is 55 the first guy or girl is right i tried it

55

Answer:

5 black counters

Step-by-step explanation:

1/3 to sixths would equal two sixths. The problem already told us three of the siths, meaning the 15 are the other three sixths. Since 3/6 are half of the bag, then multiply 15 by two. Since there are 30 in all, and the bags are in thirds, you devide by three. Since 10 is the 1/3, you divide by 2 (10 by 2) since you multiply 1/3 to get the equivalant of 2/6. There are 5 black ones.

You could've also had done 30 divided by 6 to get 5 which is still the 1/6 of the bag.

Answer:+21

Step-by-step explanation:

21 + 0

Answer:

12  home work

Step-by-step explanation:

Step one:

given data

A student has 30 homework questions to complete

the student completes 2/5 of the homework questions.

Required

The number of completed homework

Step two:

The number of completed homework= 30*2/5

The number of completed homework= 60/5

The number of completed homework= 12

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)} [/tex]

[tex] AB = \sqrt{4 + 4} [/tex]

[tex] AB = \sqrt{16} [/tex]

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)} [/tex]

[tex] BC = \sqrt{25 + 49} [/tex]

[tex] BC = \sqrt{74} [/tex]

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

[tex] AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)} [/tex]

[tex] AC = \sqrt{47 + 25} [/tex]

[tex] AC = \sqrt{74} [/tex]

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

Answer:

A, 20.0

Step-by-step explanation:

Answer:

Histogram thats on the right

Step-by-step explanation:

process of elimination and more specific=qualifying data

Answer:

70 km/h

Step-by-step explanation:

A car is travel 210 km in 3 hours.

Distance, d = 210 km

Time, t = 3 hours

We can find the speed of the car. The speed of an object is equal to the total distance divided by time taken.

v = d/t

Substitute the values,

[tex]v=\dfrac{210\ km}{3\ h}\\\\v=70\ km/h[/tex]

So, the required speed of the car is 70 km/h.

Answer:

Algebra Examples Rewrite log4(x+20)=3 log 4 ( x + 20 ) = 3 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b ≠ 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .

Step-by-step explanation:

Answer:

5y+4z

Step-by-step explanation:

A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Answer:

2 hours and 27 minutes

Step-by-step explanation:

300 divided by 132.1 = 2.271

2.27 (simplified)

Answer:

2.27100681302 hours

Step-by-step explanation:

hope this helps <3

Answer:

$2448 in a year

Step-by-step explanation:

$63,648 ÷ 52 = $1224 a week (this would be how much he earns per week)

Since he is not getting paid for two week we do 52 - 2 = 50 week of work.

Since per week salary is $1224 we multiply by 2 for two weeks = $2448

Before $63,648 - $2448 = $61200 per year (Now he's making $61200/year)

Hope this helps,

if so please mark Brainlist,

Thanks!

Answer:

3.375

Step-by-step explanation:

Answer:

he line will intersect the y-axis where x = 0. So we get 7y= 14, or y=2. Hence the line will intersect the x-axis at (0,2).

Step-by-step explanation:

∅·∅

Answer:is the secend one

Step-by-step explanation:this is easy you just have to find the points

Answer:

(2,5) (6,9) (7,2)

Step-by-step explanation:

the first number is the x and the second number is the y

Answer:

oi['po

[

[

lk/

Step-by-step explanation:

l/kkllk/lk/l/

Answer:

26 feet 2 inches

Step-by-step explanation:

Given:

78 feet 6 inches

Divide by 3

Computation:

78 feet 6 inches

78/3 feet 6/3 inches

26 feet 2 inches

Answer:

4/6

Step-by-step explanation:

x2

hope it helps