y = 7x + 20
4x - y = -11
solve by substitution

Considering the spherical snowballs, the total volume of snow used in the snowman is of 126 m³.

The volume of an sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, there are three spheres, of radius r = 1 m, r = 5 m and r = 2 m, hence:

[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]

[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]

[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]

The total volume, in cubic meters, is of:

V = 4.19 + 104.72 + 16.76 = 125.67.

Rounding, the total volume of snow used in the snowman is of 126 m³.

More can be learned about the volume of an sphere at https://brainly.com/question/25608353

Answer:

[A} 8

[B] 3

[C] -9

[D] - 900

Step-by-step explanation:

A:-4(-4+3)+2²

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]-4\left(-1\right)+2^2[/tex]

[tex]-4\left(-1\right)+4[/tex]

[tex]4+4[/tex]

8

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

B:-3-3-3(-3)

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

[tex]-3-3-\left(-9\right)[/tex]

3

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

C:-17+2(-2)(-2)

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]-17-\left(-8\right)[/tex]

-9

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

D:-(+2(-3)(5)(3+2)(-6)​

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

-900

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

[RevyBreeze]

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

C the number of toothbrushes :)

Step-by-step explanation:

You can show how many were given away each month on a dot plot :)

The others would not make sense with the dot plot :)

Haeva great day!

Please rate and mark brainliest!

Answer:

  234 square millimeters

Step-by-step explanation:

You want the area of the irregular polygon shown.

There are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.

The triangle has a base of 12 mm and a height of 13 mm. Its area is ...

  A = 1/2bh

  A = 1/2(12 mm)(13 mm) = 78 mm²

The upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...

  A = LW

  A = (14 mm)(8 mm) = 112 mm²

The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...

  A = (4 mm)(11 mm) = 44 mm²

The area of the figure is the sum of the areas of its parts:

  total area = triangle area + upper rectangle + lower rectangle

  total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²

The area of the figure is 234 square millimeters.

<95141404393>

Applying the expression for the circumference of circle, we found the diameter as 16.86 yards

Given Data

Let us apply the expression for the circumference of a circle

Circumference = 2πr----------1

But r = d/2

hence put r = d/2 in the expression above

Circumference = 2πd/2----------2

Circumference = πd

Substitute our given data

53 = 3.142*d

Make d the subject of formula we have

d = 53/3.142

d = 16.86 yards

Learn more about mensuration of shapes here:

https://brainly.com/question/10628685

Answer:

Area of a rectangle

A = lw

Answer:

Car 1: 72 mph

Car 2: 92 mph

Step-by-step explanation:

Car 1: 72 mph

288/4 = 72

72mph

Car 2: 92 mph

276/3

92 mph

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

x = -1, y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]

[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]

Simplify

[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=\frac{1+3\left(-1\right)}{2}[/tex]

[tex]x=-1[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]

[tex]x=-1,\:y=-1[/tex]

Check Answer:

2(-1)-3(-1) = 1

True

-1+2(-1)= -3

True

~Lenvy~

The length of the diagonal is the hypotenuse of the fence

The length of the wood is [tex]7\sqrt{ 2[/tex] yards

The dimensions of the fence are:

7 ft by 7 ft

The length (L) of the diagonal is calculated using:

[tex]L = \sqrt{a^2 + b^2[/tex]

This gives

[tex]L = \sqrt{7^2 + 7^2[/tex]

Express as products

[tex]L = \sqrt{7^2 * 2[/tex]

Express as radical

[tex]L = 7\sqrt{ 2[/tex]

Hence, the length of the wood is [tex]7\sqrt{ 2[/tex] yards

Read more about diagonals at:

https://brainly.com/question/10187910

Answer:

250cm

Step-by-step explanation:

Answer:

433.01m.

Step-by-step explanation:

SOHCAHTOA

cos60= a/500

500cos60=a

433.01m

Answer:

101m

Step-by-step explanation:

area of a rectangle is given by length × width

73.5÷1.5 gives us the other side=49

49+1.5=50.5×2=101

The roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.\

To find the roots of a polynomial, equate these factors of a polynomial to zero.

The given polynomial equation is,

[tex]x^4+x^2=4x^3-12x+12[/tex]

Take all the terms left side of the equation,

[tex]x^4+x^2-4x^3+12x-12=0\\x^4-4x^3+x^2+12x-12=0[/tex]

The factor form of the polynomial on solving the above equation, we get,

[tex](x-2)(x-2)(x-1.73)(x+1.73)=0[/tex]

Equate all the factors to zero, to find the roots. The roots we get are,

[tex]2,2,1.73,-1.73[/tex]

Hence, the roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer:

–1.73, 1.73, 2

Step-by-step explanation:

Answer:

0.3 ft  DISCLAIMER

Step-by-step explanation:

DISCLAIMER: I am not 100% sure if I am correct.  I think I am but there is a chance I am not.  I just thought ONE answer would be better than none.  Feel free to disregard this if you don't want to try.

If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce.  I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3

53x95 = 5035!

hopes this helps! ^^

Answer:

5605

Step-by-step explanation:

Answer:

The answer is J.

Step-by-step explanation:

Because y= 2x-3 as shown on the graph and on the chart it shows y=-x+3

Answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

each class is 1.07 hours

Step-by-step explanation:

Area of a circle = pi x r^2

Area of the circle = 4^2 x pi = 16pi

3/4 of the circle is shaded

area of shaded portion = 3/4 x 16pi = 12pi

Answer 12 pi

Answer:

b

Step-by-step explanation:

4 of the nonshaded areas =a

Answer:

C

Step-by-step explanation:

Because 3 goes into both 15 and 9 and make 3:3

No other numbers make an equivalent ratio

Answer:

either one

Step-by-step explanation:

it is going through the origin, so it is going forever in each direction

Answer:

0

Step-by-step explanation:

-2-3+5

-5+5

0

Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 3) ← 2 points on the line

m = [tex]\frac{3-(-1)}{2-0}[/tex] = [tex]\frac{3+1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Check the picture below.

Answer:

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

Answer:

23 square meter from Nthabiseng Selina Tsolo