The cheerleaders at City High make their own
megaphones by cutting off the small end of a
cone made from heavy paper. If the small end of
the megaphone is to have a radius of 2.5 cm,
what should be the height of the cone that is cut
off?
2.5 cm
60 cm​

Answer:

( 1, -3)

Step-by-step explanation:

[tex]y=a(x-h)^2+k[/tex]

The vertex is at (h,k). For "h", swap the negative to positive and positive to negative.

So the vertex is (-1,3)

Answer:

a

Step-by-step explanation:

a can not be -9,-8,8,0 or -2, therefore, it is 7

Answer:

3 1/8

Step-by-step explanation:

6 1/4 ÷ 2

~Turn each number into an improper fraction

25/4 ÷ 2/1

~Copy Dot Flip

25/4 * 1/2

~Multiply

25/8 or 3 1/8

Best of Luck!

When the mixed number i.e. [tex]6\frac{1}{4}[/tex] is divided by 2 so the answer is [tex]3 \frac{1}{8}[/tex]

Given that,

Based on the above information, the calculation is as follows:

[tex]= 6\frac{1}{4} \div 2\\\\= \frac{25}{4} \div 2\\\\= \frac{25}{4} \times \frac{1}{2} \\\\= \frac{25}{8}\\\\= 3 \frac{1}{8}[/tex]

Therefore we can conclude that when the mixed number i.e. [tex]6\frac{1}{4}[/tex] is divided by 2 so the answer is [tex]3 \frac{1}{8}[/tex]

Learn more: brainly.com/question/21416852

Answer:

The maximum height of the rocket is 256 feet

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

Let us use these rules to solve the question

∵ h(t) = -16t² + 128t

→ Compare it by the form of the quadratic function above

∴ a = -16 and b = 128

∵ a < 0

∴ The vertex (h, k) is a maximum point

∴ The maximum height of the rocket is the value of k

→ Use the rule of h above to find it

∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]

∴ h = 4

→ Substitute x in the equation by the value of h to find k

∵ k = h(h)

∴ k = -16(4)² + 128(4)

∴ k = -256 + 512

∴ K = 256

∴ The maximum height of the rocket is 256 feet

Answer:

y = 3/4 + 3/2

Step-by-step explanation:

Slope = 3/4

Solve for y-int.

0 = 3/4(-2) + b

-3/2 + b = 0

b = 3/2

y = 3/4x +3/2

i think it's correct so far

Answer:

yes it is correct so far

Answer:

1700 divided by 40 and that would be 42.5 so she does 42 1/2 meters a minute.

Answer:

Let's do an example first and then summerize what are the techniques to complete the square for quadratic equation in order to solve for x. -2x^2 + 5x + 12 = 0 -2x^2 + 5x =  -12 -2 (x^2 - 5/2 x) = -12 so 2ab = 5/2 x  ("2ab" refers to the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 ) Since a=1 (because x^2 is the a^2 in the formula), we get 2*1*b = 2b = 5/2 x, so b = 5/4 That means to complete the square we will add "b^2" (which is (5/4)^2 here) and then subtract (5/4)^2 in the parenthesis: -2 [ x^2 - 5/2 x + (5/4)^2 - (5/4)^2 ] =  -12 Now that is same as  -2 (x - 5/4 )^2 + (-2) * (-5/4)^2 = -12 To simplify it we follow these steps: -2 (x - 5/4 )^2 + 2 * 25/16  = -12 -2 (x - 5/4 )^2 + 25/8  = -12 Multiply both sides of the equation by 8 we get this: -16 (x-5/4)^2 +25 = -96 then -16 (x-5/4)^2  = -121   Techniques summerization: To complete the square for quadratic equation in order to solve for x, first we need to move the terms without x (which is "c" in the "ax^2+bx+c=0" form) to the right side of the equation. Then we divide both sides of the equation by "a" in the "ax^2+bx+c=0" equation. Through the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 we will then figure out the value of "b", so then we know what is the b^2 we need to add then subtract. Finally just simplify the equation. Hope this helps.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A is the answer

Answer:

Option A. f(x) = 4(3)x

is the answer.

Step-by-step explanation:

Answer:

4 is C for sure!

Step-by-step explanation:

Answer:

h= -2

Step-by-step explanation:

Move the terms,

19 + 4h = 1 -5h

Combine like terms,

4h+5h=1-19

Divide both sides...

9h= -18

-18/9 = -2

Answer:

h=-2

Step-by-step explanation:

17+4h+2=1-5h

19+4h=1-5h

-1 -1

18+4h=-5h

-4h -4h

18=-9h

18/-9=-9h/-9

h=-2

hopefully this helps :)

Answer:

A

Step-by-step explanation:

I am pretty sure the graph is skewed to the left, because the trailing tail is on the left. Sorry for the bad explanation lol

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation: 92 gallons bc if u calc the rate on 3 gallons per minute, times 4 which gives 12, add that to the 80 gallons alr filled then boom. 92.

Answer:

B

Step-by-step explanation:

First simplify the first term to get

10y^4

then multiply 10y^4 by 4 square root 6y^3

40y would be all you needed to get answer

Answer:

40y^5√6y (B)

Step-by-step explanation:

Let's multiply 2√25y^8 * 4√6y^3:

8√150y^11 (When you multiply exponents with the same base, you can just add the exponents and keep the same base:

Ex. 4^5 * 4^9 = 4^14)

Let's simplify 8√150y^11

√150 = 5√6

√y^11 = y^5√y

So our final answer would be:

40y^5√6y

Answer:

12 dimes

Step-by-step explanation:

1 dollar= 4 quarters

1 dime=10 cents

3.45-1.20=2.25

2 dollars= 8 quarters

2.25-2.20=.25

1 quarter=.25

SOOOO your answer is 12 dimes

Answer:

A horizontal line has a gradient = 0 and only has a y-intercept.

In the standard form this would mean that  

m =0,  and c =5  So, y  = 5

Step-by-step explanation:

Answer:

223

Step-by-step explanation:

hope it helps!!!!......

Answer:

223

Step-by-step explanation:

892 ÷ 4 = 223

Can i get brainliest? plz!

Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

Answer:

13 percent

Step-by-step explanation:

Single decimal multiplier used to decrease by 7% followed by a 20% decrease is 0.744.

A percentage multiplier is a number which is used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage. In order to use a percentage multiplier to calculate the percentage of an amount, convert the percentage to a decimal by dividing by 100 ; this is the decimal multiplier.

Given,

First decrease = 7%

Second decrease = 20%

Let a number be x.

If x is decreased by 7% then the value of the number is

( (100 - 7) / 100) × x = 0.93 x

Again if 0.93 x is decreased by 20% then the value of the number      ((100 - 20) /100) × 0.93 x = 0.744 x

Hence, The single decimal multiplier is 0.744.

Learn more about decimal multiplier here:

https://brainly.com/question/16992894

#SPJ2

Answer:

How is your day going lol

Step-by-step explanation:

was this supposed to be a question lol>

Answer:

110°

Step-by-step explanation:

y = 25

Angle 5 equals Angle 4 because of the Alternate Angles Postulate.

Angle 4 equals 110°

The measure of angle ∠4 is 110 degrees.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Given that the measure Angle 3= (2y+20) degrees, and the measure of Angle  5= (210-4y) degree

Then ∠3 + ∠5 = 180,  By Co-interior angles are supplementary

2y + 20 + 210 - 4y = 180

2y - 4y + 20 + 210 = 180  

-2y + 230 = 180

Now Subtract 230 from both sides;

-2y = 180 - 230

-2y = -50  

Then Divide both sides by (-2);

 y = -50/-2

y = 25

Now, ∠5 = 210 - 4y

      = 210 - 100

∠5 = 110

∠4 = ∠5    { by Alternate interior angles are equal}

∠ 4 = 110°

Learn more about supplementary angles here:

https://brainly.com/question/2882938

#SPJ2

Answer:

sorry little busy to calculate

Step-by-step explanation:

+5x+2y+z=15

3x +4y_z=19,,,choose which term u wanna eliminate first so u will be able to get your answer there

Step-by-step explanation:

Here is your explanation:

((x4) - 3x2) - 18 = 0 Factoring  x4-3x2-18 

The first term is,  x4  its coefficient is  1 .

The middle term is,  -3x2  its coefficient is  -3 .

The last term, "the constant", is  -18 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -18 = -18 

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   -3 .

     -18   +   1   =   -17     -9   +   2   =   -7     -6   +   3   =   -3   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  3 

                     x4 - 6x2 + 3x2 - 18

Step-4 : Add up the first 2 terms, pulling out like factors :

                    x2 • (x2-6)

              Add up the last 2 terms, pulling out common factors :

                    3 • (x2-6)

Step-5 : Add up the four terms of step 4 :

                    (x2+3)  •  (x2-6)

             Which is the desired factorization

Find roots (zeroes) of :       F(x) = x2+3

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  3.

 The factor(s) are:

of the Leading Coefficient :  1

 of the Trailing Constant :  1 ,3

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      4.00        -3     1      -3.00      12.00        1     1      1.00      4.00        3     1      3.00      12.00   

Factoring:  x2-6 

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 6 is not a square !!(x2 + 3) • (x2 - 6) = 0 product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.Solve  :    x2+3 = 0 

 Subtract  3  from both sides of the equation : 

                      x2 = -3

 When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                      x  =  ± √ -3  

 In Math,  i  is called the imaginary unit. It satisfies   i2  =-1. Both   i   and   -i   are the square roots of   -1 

Accordingly,  √ -3  =

                    √ -1• 3   =

                    √ -1 •√  3   =

                    i •  √ 3

The equation has no real solutions. It has 2 imaginary, or complex solutions.

                      x=  0.0000 + 1.7321 i 

                      x=  0.0000 - 1.7321 i 

Solve  :    x2-6 = 0 

 Add  6  to both sides of the equation : 

                      x2 = 6

 When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                      x  =  ± √ 6  

 The equation has two real solutions  

 These solutions are  x = ± √6 = ± 2.4495  

 Solving  x4-3x2-18  = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Solve   x4-3x2-18 = 0

This equation is reducible to quadratic. What this means is that using a new variable, we can rewrite this equation as a quadratic equation Using  w , such that  w = x2  transforms the equation into :

 w2-3w-18 = 0

Solving this new equation using the quadratic formula we get two real solutions :

   6.0000  or  -3.0000

Now that we know the value(s) of  w , we can calculate  x  since  x  is  √ w  

Doing just this we discover that the solutions of

   x4-3x2-18 = 0

  are either : 

  x =√ 6.000 = 2.44949  or :

  x =√ 6.000 = -2.44949  or :

  x =√-3.000 = 0.0 + 1.73205 i  or :

  x =√-3.000 = 0.0 - 1.73205 i

so we found four answers:

 x = ± √6 = ± 2.4495

  x=  0.0000 - 1.7321 i 

  x=  0.0000 + 1.7321 i 

sorry for taking time to answer

hope its helps

The correct option is A because [tex]x=\pm\sqrt{6}i[/tex] or [tex]x=\pm\sqrt{3}[/tex].

Given:

The given equation is:

[tex]x^4+3x^2-18=0[/tex]

To find:

The real and imaginary solutions of the given equation.

Explanation:

We have,

[tex]x^4+3x^2-18=0[/tex]

Substitute [tex]x^2=t[/tex] in the given equation.

[tex]t^2+3t-18=0[/tex]

Splite the middle term.

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

[tex]t(t+6)-3(t+6)=0[/tex]

[tex](t+6)(t-3)=0[/tex]

Using zero product property, we get

[tex]t+6=0[/tex] or [tex]t-3=0[/tex]

[tex]t=-6[/tex] or [tex]t=3[/tex]

Substituting [tex]t=x^2[/tex], we get

[tex]x^2=-6[/tex] or [tex]x^2=3[/tex]

[tex]x=\pm\sqrt{-6}[/tex] or [tex]x=\pm\sqrt{3}[/tex]

[tex]x=\pm\sqrt{6}i[/tex] or [tex]x=\pm\sqrt{3}[/tex]

Therefore, the correct option is A.

Learn more:

https://brainly.com/question/20689398