solve the following where a,b and c are constants

2y +z= a
3y +6z=b

Answer: he can have 45 plants

Answer:

[tex]\sec(\theta)[/tex]

Step-by-step explanation:

[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}\\\\\\\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}\\[/tex]

Therefore,

[tex]\csc(\theta) \times \tan(\theta)=\dfrac{1}{\sin(\theta)}\times\dfrac{\sin(\theta)}{\cos(\theta)}=\dfrac{1}{\cos(\theta)}=\sec(\theta)\\[/tex]

Answer:

80% off

Step-by-step explanation:

(0.15 - 0.75)/0.75 = -0.8 = -80%

Answer:

Should be 19.533333 (3 keeps repeating)

Step-by-step explanation:

if you add all the numbers up it equals

293

There are 15 points so you should just have to do 293/15

Answer:

Tavian is correct.

Step-by-step explanation:

If you solve the systems of equations, y=0 and x=7, so the solution is (7, 0).

Answer:

V = 141.37 cm³

Surface area = 150.80 cm²

Step-by-step explanation:

Answer:

V = 141.37 cm³

Surface area = 150.80 cm²

i. Doubling the radius to 6 cm, while the height remains 5

Step-by-step explanation:

Given that :

Radius, r = 3cm

Height, h = 5cm

Volume, V of right cylinder :

V = πr²h

V = π * 3² * 5

V = 141.37166

V = 141.37 cm³

Surface Area :

2πr(h + r)

2 * π * 3(3 +5)

18.849555(8)

150.79644

= 150.80 cm²

Volume at r = 6 ; h = 5

V = π * 6² * 5

V = 565.48667 cm³

Volume at r = 3 ; h = 15

V = π * 3² * 15

V = 424.11500 cm³

Answer:

See below

Step-by-step explanation:

Part A

The surface area of a cylinder is [tex]SA=2\pi rh+2\pi r^2[/tex] with [tex]r[/tex] being the radius and [tex]h[/tex] being the height:

[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(7)(3)+2\pi(7)^2\\\\SA=2\pi(21)+2\pi(49)\\\\SA=42\pi+98\pi\\\\SA=140\pi[/tex]

Therefore, the surface area of the given cylinder is 140π cm².

Part B

The volume of a cylinder is [tex]V=\pi r^2h[/tex]:

[tex]V=\pi r^2h\\\\V=\pi (7)^2(3)\\\\V=\pi(49)(3)\\\\V=147\pi[/tex]

Therefore, the volume of the given cylinder is 147π cm³.

Part C

The first cylinder would have a volume of [tex]V_1=\pi(14)^2(3)=\pi(196)(3)=588\pi cm^3[/tex]

The second cylinder would have a volume of [tex]V_2=\pi (7)^2(9)=\pi(49)(9)=441\pi cm^3[/tex]

Therefore, the first cylinder with a radius of 14cm and a height of 3cm gives a greater volume of 588π cm³.

Answer:

0.38km²

Step-by-step explanation:

A=h and b/2

= 1·0.75/2=

0.375km²

Answer:

27*n

Step-by-step explanation:

A theater has 27 rows with n seats in each row. Which expression shows how many seats are in the entire theater?

27n or 27*n

You got it right.

Ex: A theater has 27 rows with 2 seats in each row.  Which expression shows how many seats are in the entire theater?

27*2 = 54 seats

Hope this helps!

The expression showing the number of seats in the considered entire theater is given by: Option A: [tex]27 \times n[/tex]

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as [tex]a[/tex] and [tex]b[/tex]

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Now, for the considered situation in the problem's statement, we are specified that:

So, total number of seats = n + n + ... + n (27 times) = [tex]27 \times n[/tex]

Thus, the expression showing the number of seats in the considered entire theater is given by: Option A: [tex]27 \times n[/tex]

Learn more about multiplication here:

https://brainly.com/question/520497

Will recommend to keep in touch with picture as name of angles are based on it!

[tex] \\ [/tex]

So as you can see BA is parallel to DC as the arrow signs are made on it. And the figure has four sides , therefore we get to know that the above picture is of parallelogram.

[tex] \\ [/tex]

[tex] \rm\angle B = \angle D [/tex]

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

[tex] \\ [/tex]

[tex] \hookrightarrow \sf2x =130 \degree [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =130 \degree\div 2 \degree [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{130}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times 10}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times\cancel{ 10}}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times5}{1} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =13 \times5[/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =65 \degree[/tex]

[tex] \\ [/tex]

Now Let's find value of y.

[tex] \rm \angle DAB =\angle DCB[/tex]

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

[tex] \\ [/tex]

[tex] \dashrightarrow \rm x = y[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \rm 65 = y[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf y = 65 \degree[/tex]

[tex] \\ [/tex]

angles on same line

[tex] \\ [/tex]

At last :-

x = 65°

y = 65°

z = 55°

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Data

The sum of angles in a parallelogram is equal to 360°. To solve for all the missing numbers, we have to use some properties of parallelogram.

2x = 130

Reason: Opposite angles in a parallelogram are equal.

let's solve for x

[tex]2x = 130 \\\frac{2x}{2} = \frac{130}{2}\\x = 65^0[/tex]

The value of x is 65°

Let's solve for y

[tex]x+ 130 + y + 2x= 360\\x = 65\\65 + 130 + y + 2(65) = 360\\325 + y = 360\\y = 360 - 325\\y = 35[/tex]

The value of y is 35°

Let's solve for z

[tex]60 + y + z = 180[/tex]

reason: sum of angles on a straight line is equal to 180°

[tex]60 + y + z = 180\\60 + 35 + z = 180\\95 + z = 180\\z = 180 - 95\\z = 85^0[/tex]

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Learn more on parallelograms here;

https://brainly.com/question/24056495

Answer:

[tex]\dfrac{19}{25}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{4}{10}+\dfrac{6}{10}\right)-\left(\dfrac{4}{10} \times \dfrac{6}{10}\right)[/tex]

[tex]=\left(\dfrac{10}{10}\right)-\left(\dfrac{24}{100} \right)[/tex]

[tex]=\left(\dfrac{100}{100}\right)-\left(\dfrac{24}{100} \right)[/tex]

[tex]=\dfrac{76}{100}[/tex]

[tex]=\dfrac{19}{25}[/tex]

Solution:

Note that:

Simplify the expression:

Simplify the fraction:

19/25 is the difference.

Answer: D

Step-by-step explanation:

By the cosine rule, [tex]BC=\sqrt{10^{2}+14^{2}-2 \cdot 10 \cdot 14 \cdot \cos 70^{\circ}}[/tex]

Now, we can use the law of sines to get that:

[tex]\frac{\sqrt{10^{2}+14^{2}-2\cdot 10 \cdot 14 \cdot \cos 70^{\circ}}}{\sin 70^{\circ}}=\frac{14}{\sin \angle ABC}[/tex]

Meaning that [tex]\sin \angle ABC =\frac{14\sin 70^{\circ}}{\sqrt{10^{2}+14^{2}-2 \cdot 10 \cdot 14 \cdot \cos 70^{\circ}}}[/tex]

And thus [tex]\angle ABC=\sin^{-1} \left(\frac{14\sin 70^{\circ}}{\sqrt{10^{2}+14^{2}-2 \cdot 10 \cdot 14 \cdot \cos 70^{\circ}}} \right) \approx 68.39^{\circ}[/tex]

By getting the motion equations for the bugs, we will see that:

a)

b) 150 units.

c) 60 seconds

d) The graph can be seen at the end.

e) Directly proportional.

a) We know that bug P moves 12 units in 4 seconds, then its velocity is:

Vp = 12/4s = 3 units per seg.

And bug N moves -8 units in 8 seconds, then its velocity is:

Vn = -8/4s = -2 units per seg.

Then we have:

b) The distance between the bugs at the time t is:

d = x - y

At 30 segs, that distance is:

d(30s) = (3 units per seg)*30s - (-2 units per seg)*30s = 150 units.

c) Now we need to write:

d = 300 units =  (3 units per seg)*t - (-2 units per seg)*t

300 units = (5 units per seg)*t

(300 units)/(5 units per seg) = t = 60s

The distance between the bugs will be 300 units after 60 seconds.

d) The graph of:

d(t) = (5 units per seg)*t

Can be seen at the end.

e) As the time increases also does the distance, so these two are proportional.

If you want to learn more about linear relations, you can read:

https://brainly.com/question/1884491

Hello.

Remember, equivalent means equal.

Let's simplify the expression.

First, let's use the Distributive Property, which states

[tex]\hookrightarrow[/tex] [tex]\mathrm{a(b+c)=ab+ac}[/tex]

Use it:

[tex]\hookrightarrow\mathrm{-4+8(7+x)}[/tex]

[tex]\hookrightarrow[/tex] [tex]\mathrm{-4+56+8x}[/tex]

[tex]\hookrightarrow\mathrm{52+8x}[/tex]

Therefore, the answer is

[tex]\mathrm{52+8x}[/tex]

I hope this helps you.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Parabolas are used to represent curved functions

The shortest distance between the parabola and the point is [tex]x = -\frac 1{2}[/tex]

The parabola is given as:

[tex]y=(7x+5)^{1/2}[/tex]

Rewrite as:

[tex]y=\sqrt{7x+5}[/tex]

Let p represent a point on the parabola.

So, we have:

[tex]P(x,\sqrt{7x + 5})[/tex]

Next, calculate the distance between P and the point (3,0) using the following distance formula:

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

So, we have:

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

[tex]d = \sqrt{x^2- 6x + 9 + 7x + 5}[/tex]

Evaluate the like terms

[tex]d = \sqrt{x^2+ x + 14}[/tex]

Square both sides

[tex]d^2 = x^2+ x + 14[/tex]

The shortest distance is then calculated as:

[tex]x = -\frac b{2a}[/tex]

Where:

a = 1, b = 1 and c = 14

So, we have:

[tex]x = -\frac 1{2*1}[/tex]

[tex]x = -\frac 1{2}[/tex]

Hence, the shortest distance between the parabola and the point is [tex]x = -\frac 1{2}[/tex]

Read more about parabolas at:

https://brainly.com/question/4061870

Answer:

19

Step-by-step explanation:

10 + 9 = 19

because when you add those 2 numbers together you get

19

Combine like terms:

-5u + 5u = 0

The you are left with just -8

Answer: -8

Answer:

-8

Step-by-step explanation:

-5u+5u-8=(-5+5)u-8

=(0)u-8

=-8

Answer:

Simplify the expression:

1x+10y=4+3

Step-by-step explanation:

1 : x+10y=4+3

x+10y=4+3

x+10y=7

x+10y-10y=7-10y

x=7-10y

hope it helps

Answer:

x=7-10y

Step-by-step explanation:

Add the numbers with no variables:

4+3=7

1 and x are the same so the 1 cancels out u get x and since your solving for x you would put x=:

Since you got rid of the would you have to swap the equations around:

x=7-10y

Answer:

ABD= ABC - DBC

=140 - 36

=104

Answer:

3 trumpet players

Step-by-step explanation:

t=1 and 3x1=3t

Answer:

6 ln x + 3 ln y

Step-by-step explanation:

Answer:

There are 721 columns.

Step-by-step explanation:

6,489 ÷ 9 = 721

Answer:

In explanation

Step-by-step explanation:

So, let's solve for y in both of these equations

3y + 2x = 8

3y = 2x+8

y = 2/3x+8/3

-3x - 2y = 6

-2y = 3x + 6

y = -3/2x-3

The lines are perpendicular, since their slopes are the negative reciprocal of each other.

Negative reciprocal =>     -1/n

The sum of the equations demonstrates this relationship, with 0x + 0y = 14

or 0 = 14 in which a result like this only occurs when the lines are perpendicular

Your welcome, comment if you have any questions! :D

Answer:

Line BC is parallel to line AD. The system of equations has the sum 0 = 14. Since this is a false equation, the system has no solution, which means the lines will never intersect.

Step-by-step explanation:

Answer:

1. [tex]\frac{3}{17}[/tex] (3/17)

2. [tex]\frac{3}{7}[/tex] (3/7)

3.  [tex]\frac{45}{184}[/tex] (45/184)

Step-by-step explanation:

1. [tex]\frac{\frac{3}{5} }{3\frac{2}{5}}[/tex] = [tex]\frac{\frac{3}{5} }{\frac{17}{5}}[/tex] = [tex]\frac{\frac{3}{1} }{\frac{17}{1}}[/tex]= [tex]\frac{3}{17}[/tex]

2. [tex]\frac{2}{4\frac{2}{3}}[/tex] = [tex]\frac{\frac{2}{1} }{\frac{14}{3}}[/tex]= [tex]\frac{2}{1} /\frac{14}{3}[/tex] = [tex]\frac{2}{1} *\frac{3}{14}[/tex] = [tex]\frac{6}{14}[/tex] = [tex]\frac{3}{7}[/tex]

3. [tex]\frac{\frac{5}{4} }{5\frac{1}{9} }[/tex] = [tex]\frac{\frac{5}{4} }{\frac{46}{9}}[/tex] = [tex]\frac{5}{4}/\frac{46}{9}[/tex] = [tex]\frac{5}{2}/\frac{23}{9}[/tex] = [tex]\frac{5}{2}*\frac{9}{23}[/tex] = [tex]\frac{45}{184}[/tex]

Hope this helps!

Answer:

=] - 13

Step-by-step explanation:

=>21+(-34)

=> 21-34

=> -13

Answer:

a) P(not red) = 37/49

b) P(purple) = 17/49

Step-by-step explanation:

Prob. of not red = (20+17) / (12+20+17) = 37/49

Answer: False

Step-by-step explanation:

The angles require more than 2 lines to be formed, meaning they cannot be formed by intersecting lines.