(x^2-4x)^2+(x-2)^2+10

Answer: About 27.49

Step-by-step explanation:

You use the laws of tangent within a triangle to find x:

[tex]tan(32)=\frac{opposite}{adjacent}= \frac{x}{44}\\ \\x=44*tan(32)=27.49425...[/tex]

Answer:

1

(3,0)(0,-3)

-3 - 0 /0 - 3 = -3/-3 = 1

Step-by-step explanation:

Step-by-step explanation:

To find the slope of this line get any points along the straight line since the slope along a straight line is the same throughout, you can actually get (2,-1)(1,-2)

m=y2-y1/x2-x1

= -2+1/1-2

=-1/-1

=1

I hope this helps

Answer:

- 20

Step-by-step explanation:

Given that,

Flavors of tea = 5

Types of packaging = 2

So,

No. of possibilities = 5 * 2

= 10

A.T.Q.,

4 from 5 total flavors will be included in the variety pack, the number of available choices = 5C4

= 5 choices

Since 5 choices are probable for each form, The total in two forms would be 5 * 2 = 10.

Therefore,

Total no. of different packs can be possible = 10 + 10

= 20

Answer:

4.6

Step-by-step explanation:

tan(75) = 17/x

x = 17/tan(75)

x = 34-17√3

x = 4.6

Answered by GAUTHMATH

Answer:

the correct answer to this question is b

Step-by-step explanation:

got it right

The 3rd option is correct.

The range refers to the y-values so the multiple choice answer is restricted to the 1st and 3rd options. The range of the step function is not continuous, it is only the discrete values {-3, 2, 5}.

Answer: 5

Step-by-step explanation:

⇒ (x - 4) = 1

⇒ x = 1 + 4

⇒ x = 5

Therefore value of x = 5

Answered by Gauthmath must click thanks and mark brainliest

Answer:129

Step-by-step explanation:(621 x 0.25) + (750 x 0.10) = 230.25

750 - 621 = 129 more dimes than quarters

Answer:

The correct answer is 6.768.

Step-by-step explanation:

(4.23)(1.6) = 6.768

Answer:

6.768

Step-by-step explanation:

(4,23)(1.6)=6.768

Step-by-step explanation:

1/2 + 3/4

= 2/4 + 3/4

= 5/4

= 1 and 1/4 miles

Answer:

c² = n²

Step-by-step explanation:

Given the 2 equations

a² + b² = c² → (1)

a² + b² = n² → (2)

Substitute a² + b² = c² into (2)

c² = n²

Complete question is;

The outer radius of a cylindrical metal tube is R and t is the thickness of the metal.

A) Show that the volume, V, of metal in a length, l units, of the tube is given by V = πlt(2R - t)

B) Hence calculate V when R = 7.5. t = 1 and L = 20

Answer:

A)V = πlt(2R - t)

B)V = 879.65

Step-by-step explanation:

A) Formula for volume of a hollow cylinder is; V = π(R² - r²)h

Where;

R is outer radius

r is inner radius

h is height/length of tube

Now, we are told thickness is t.

Thus; R - r = t

Also, h = l

Thus;

V = π(R² - r²)h

Let's factorize this to get;

V = π((R + r)(R - r))l

V = π((R + r))lt

Since R - r = t

Then, r = R - t

Thus;

V = π(R + R - t)lt

V = πlt(2R - t)

B) when R = 7.5, t = 1 and l= 20;

V = ​πlt(2R - t)

V = ​π × 20 × 1(2(7.5) - 1)

V = 879.65

Answer:

There are 6 more girls than boys

Step-by-step explanation:

boys :girls : total

2         3       2+3 = 5

There are 30 total students

30/5 = 6

Multiply each number by 6

boys :girls : total

2*6     3*6     5*6

12          18      30

There are 18 girls and 12 boys

18-12 = 6

There are 6 more girls than boys

Answer:

Answer is 6.

Step-by-step explanation:

I will now explain the fastest way to solve this. First off, the ratio is 2:3 so the first thing I do is combine that for 5, then do 30/5 for an answer of 6. Then, I multiply 6 for the ratio, which comes out as 12:18, 12 boys and 18 girls. 18-12=6, so there are 6 more girls than boys in the class.

The volume of the new cone would be 1331 times more than the volume of the original cone. Thus, The volume of the original cone is multiplied by 1331

The volume of the cone can be calculated by the given formula:

                       The volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]

where r = radius of the cone

           h = height of the cone

Solution:

The volume of the original cone= .......1

It is given that the height and radius of a cone are multiplied by 11.

then volume

= [tex]\frac{1}{3} \pi (11r)^{2} (11h)[/tex]

= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex] .........2

The change in volume of the cone after multiplying 11 to r and h would be

dividing equation 2 by equation 1

=  [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex]/[tex]\frac{1}{3} \pi r^{2} h[/tex]

= 121*11

= 1331

Thus, The volume of the original cone is multiplied by 1331

Learn more about the volume of the cone:

https://brainly.com/question/1315822

Answer:

maybe f(x)= -2/3 x + 1 since it goes down two times or up two times and three times to the left or right depending where you wanna go i don't know how to explain but maybe this might help

Given:

The function is:

[tex]f(x)=-(x+5)(x+1)[/tex]

To find:

The range of the function.

Solution:

We have,

[tex]f(x)=-(x+5)(x+1)[/tex]

It can be written as:

[tex]f(x)=-(x^2+x+5x+5)[/tex]

[tex]f(x)=-(x^2+6x+5)[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{6}{2}\right)^2=9[/tex].

[tex]f(x)=-(x^2+6x+9-9+5)[/tex]

[tex]f(x)=-(x^2+2(x)(3)+3^2-4)[/tex]

[tex]f(x)=-(x^2+2(x)(3)+3^2)+4[/tex]

[tex]f(x)=-(x+3)^2+4[/tex]

On comparing this equation with [tex]f(x)=a(x-h)^2+k[/tex], we get

[tex]a=-1[/tex], it means the graph of the function is a downward parabola and the vertex is the point of maxima.

[tex]h=-3[/tex]

[tex]k=4[/tex]

The vertex of the function is (-3,4). So, the value of the function cannot be greater than 4.

Therefore, the range of the function is all real numbers less than or equal to 4.

Note: All options are incorrect.

Answer: A. 20 is the answer.

Step-by-step explanation:

x+40 = 3x

or, 40 = 3x-x

or, 2x = 40

or, x = 40/2

so, x = 20

Hi there!  

»»————-　★　————-««

I believe your answer is:  

760

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

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

Answer:

The correct answer is (B)

Step-by-step explanation:

remember it is (x,y) so -4 would be on the x axis, whereas the 0, is on the y axis.

Answer:

254.5

Step-by-step explanation:

Area = πr²

= π×9²

= 81π

= 254.5 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer: No solutions

Step-by-step explanation:

[tex]\large \bf \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex]                                   [tex]\large \boldsymbol{} \bf 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]

Answer:

4

Step-by-step explanation:

1 5

2 10

3 15

4 20

i wrote it out

x+16=5x

16=4x

4=x

Marissa is currently four years old.

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.

Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

Let's represent Marissa's current age "x".

According to the given question, in 16 years she will be five times older than she is today, which we can express as:

x + 16 = 5x

Solving for x, we can subtract x from both sides:

16 = 4x

Dividing both sides by 4, we get:

x = 4

Therefore, Marissa is currently 4 years old.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

The equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-a)²+(y-b)² = r²

Where (a, b) is the centre and 'r' is the radius

We have a circle with centre (0, 0) and radius of 5.

Now, Substituting these value into the equation form, we have

(x-0)²+(y-0)² = 5²

x² + y² = 25

Hence, the equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.

Learn more about equation of a circle here:

https://brainly.com/question/10165274

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Answer:

7 cannot be achieved

-1 + 6 = 5

-3 + 4 = 1

-5 + 2 = -3

as you can see, no combinations can form seven

Edit: Please mark brainliest!!!!

Answer:

6:00 am

Heeeeyyyyyy, so i had the same problem from rsm, but like anyways, here it is

Let the distance between

Answer:

3.285714286

Step-by-step explanation:

Answer:

y=-70

Step-by-step explanation:

10.4/10y=-28.10

4y=-280

y=-70

Answer: Distance = √170

Step-by-step explanation:

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Find the distance between M and P, where:

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

[tex]Distance = \sqrt{(-3+10)^2+(-12+1)^2}[/tex]

[tex]Distance = \sqrt{(7)^2+(-11)^2}[/tex]

[tex]Distance = \sqrt{49+121}[/tex]

[tex]Distance = \sqrt{170}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

(x₁ , y₁) = (-1 , -10)   & (x₂,y₂)=(-12,-3)

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

               [tex]= \sqrt{(-12-[-1])^{2}+(-3-[-10])^{2}}\\\\= \sqrt{(-12+1)^{2}+(-3+10)^{2}}\\\\=\sqrt{(-11)^{2}+(7)^{2}}\\\\= \sqrt{121+49}\\\\=\sqrt{170}[/tex]

               = 13.03

               = 13

Answer:

I (-4, -3)

J (-4,-2)

K (-2,-2)

L (0,-4)