Five friends want to share 1,000
comic books equally. Can you use mental math to find how many
comic books each friend will get?

Answer:

5.38516480713

Step-by-step explanation:

a^2+b^2=c^2

5^2+2^2=c^2

25+4=c^2

c^2=square root of 29

c=5.38516480713

Answer:

Range: {-12, -8, 0, 8}

Step-by-step explanation:

To find the range of [tex] f(x) = -2x + 6 [/tex], plug in the value of each domain into the equation of the function to get the corresponding range value.

Given that the domain is {-1,3,7,9}, therefore:

✅[tex] f(-1) = -2(-1) + 6 = 2 + 6 [/tex]

[tex] f(-1) = 8 [/tex]

✅[tex] f(3) = -2(3) + 6 = -6 + 6 [/tex]

[tex] f(3) = 0 [/tex]

✅[tex] f(7) = -2(7) + 6 = -14 + 6 [/tex]

[tex] f(7) = -8 [/tex]

✅[tex] f(9) = -2(9) + 6 = -18 + 6 [/tex]

[tex] f(9) = -12 [/tex]

Range would be: {-12, -8, 0, 8}

Answer:

The answer is 15.

Step-by-step explanation:

Answer:

Gianna is the faster texter. She types 42 wpm, while Victor types 41 wpm.

Step-by-step explanation:

Calculate the unit rates. Time is usually on the bottom. For example, to calculate how many words Gianna types in a minute, use the expression 168/4.

Answer:

Gianna is the faster texter

Step-by-step explanation:

168/4 = 42 wpm for Gianna

246/6 = 41 wpm for Victor

Answer:

A

Step-by-step explanation:

12x 5/2= 60/2= 30

3x5/2=15/2=7.5

7.5 by 30

Answer:

Yes, you are correct.

Step-by-step explanation:

Feel free to give brainliest.

Have an amazing day!

Answer:

Number 7.

since it makes an L shape, and has a 90° angle

Answer:

x

x

are

Step-by-step explanation:

For x ≥ 0, the value of f(g(x)) is x,For x ≥ 0, the value of g(f(x)) will be x and functions f and g are inverse functions.Option a from all the choices is corect.

A connection between independent variables and the dependent variable.is defined by the function.

Functions help to represent graphs and equations. A function is represented by two variables one is dependent and another one is an independent function.

The relation between them is shown as y if dependent and x is the independent variable;

Given function;

f(x) = 16x²

g(x)=(1/4)√x

For x ≥ 0, the value of f(g(x)) is found as;

f(x) = 16x²

[tex]\rm f(g(x)) = 16 (\frac{1}{4} \sqrt x) ^2\\\\ f(g(x)) =\frac{16}{16} x\\\\ f(g(x)) = x[/tex]

For x ≥ 0, the value of g(f(x)) is

g(x)=(1/4)√x

[tex]\rm g(x)=\frac{1}{4}\sqrt x \\\\ g(x ) = \frac{1}{4} \times \sqrt{16 \ x^2}\\\\ g(x) = \frac{4}{4} x \\\\ g(x) = x[/tex]

For x ≥ 0, functions f and g are  inverse functions

Let,

y=F(X)

If,

y= 16x²

x=16y²

y² = x/16

y=(1/4)√x

Hence,For x ≥ 0, the value of f(g(x)),For x ≥ 0, the value of g(f(x)) will be x and x respectively.and For x ≥ 0, functions f and g are inverse functions.

Hence, option a from all the choices is corect.

To learn more about the function refer to the link https://brainly.com/question/12431044.

#SPJ2

Answer: 108 stitches sewn on 1 basket ball

Step-by-step explanation:

324 divided by 3 would give you 108

Answer:

324/3=16

Step-by-step explanation:

324 divided by 3= 16

Answer:

5/4

Step-by-step explanation:

Answer: 32

Step-by-step explanation: 45wheeej5t

Answer: 21 1/2

Step-by-step explanation:

12 9/10 + 8 3/5 = 21 1/2

hope this helps!

Answer:

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

Answer:

UNLOCK

UNLOCK

A normal number

Answer:The answer is ONE

Step-by-step explanation:

Answer:

480 minutes

Step-by-step explanation:

60 minutes = 1 hr

60 x 8 = 480

480 minutes = 8 hrs

Answer:

The matrixes are in the explanation box.

1. A mapping of (x,y,z) to (x,y,0)

2. Is a mapping of (x,y,z) to (-x,-y,z)

Step-by-step explanation:

We have the orthogonal projection onto the cy-plane to be a mapping of (x,y,z) to (x,y,0). Then we will have a transformation matrix that has the form below.

[1 0 0]

[0 1 0]

[0 0 1]

For the reflection in the z-axis,it is a reflection of (x,y,z) to (-x,-y,z). Our matrix will then have the form below

[-1 0 0]

[0 -1 0]

[0 0  1]

The matrix that projects into the XY plane is:

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&0\end{array}\right][/tex]

The matrix that reflects in the z-axis is:

[tex]\left[\begin{array}{ccc}-1&0&0\\0&-1&0\\0&0&1\end{array}\right][/tex]

First, we want to find the transformation that goes from (x, y, z) to (x, y, 0).

Remember that:

[tex](x, y, z)*\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] = (x, y, z)[/tex]

That matrix is the identity matrix.

Then, if we want to remove the z component, then we just need to make the last row-column equal to zero, we will get:

[tex](x, y, z)*\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&0\end{array}\right] = (x, y, 0)[/tex]

Now we want to make a reflection over the z-axis, this is a rotation of 180° around the z-axis, so it changes the sign of the x and y components:

(x, y, z) to (-x, -y, z)

From this, we conclude that the matrix will be:

[tex](x, y, z)*\left[\begin{array}{ccc}-1&0&0\\0&-1&0\\0&0&1\end{array}\right] = (-x, -y, z)[/tex]

If you want to learn more about matrices, you can read:

https://brainly.com/question/11989522

Answer: 5 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its D

The expected number of coupons that will be redeemed is 0.96.

Given data:

To find the expected number of coupons that will be redeemed, multiply the probability of redemption for a single coupon by the number of coupons distributed.

Given that 16% of $10-off coupons delivered by mail are redeemed, the probability of redemption for a single coupon is 0.16.

Since six customers are randomly selected and mailed coupons, the number of coupons distributed is 6.

Therefore, the expected number of coupons that will be redeemed is:

Expected number of redeemed coupons = Probability of redemption * Number of coupons distributed

= 0.16 * 6

= 0.96

Hence, the expected number of coupons is 0.96.

To learn more about probability, refer:

https://brainly.com/question/17089724

#SPJ4

Answer: 25

               2

Step-by-step explanation:

900 - 400 = 500 = 25

  50 - 10 =     40=    2        

x  =  3  − log  565/  log  2  =  −  6.142107057

Step-by-step explanation:

2^3-x =565

Log 2^3-x =  log  565

(3-x) times log 2 = log 565

3 −  x  =  log  565 / log  2

3  −  log  565 / log  2  =  x

x  =  3  − log  565/  log  2  =  −  6.142107057

Answer:

x = -557

Step-by-step explanation:

2^3 is 2x2x2 which equals 8. 8 - x = 565. Move the constant to the right-hand side and change its sign. -x = 565 - 8. This is 557. Now change the negative sign on the x to a positive and the positive sign on the 557 to a negative. x= -557.

Answer:

The only two values that have the same absolute value of 34, is +34 and -34.

Step-by-step explanation:

Answer:

y = 5, 3; x = 171, 155

Step-by-step explanation:

8y - 15 = y^2

y^2-8y+15=0

y^2-3y-5y+15=0

y(y-3)-5(y-3)=0

(y-5)(y-3)=0

y can be 5 or 3.

x = 180 - (8y - 15)

x = 180 - (8(3)-15)

x = 180 - 9

x = 171

OR

x = 180 - (8(5) - 15)

x = 180 - 25

x = 155

Answer:

x=14

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

Step-1 :

Multiply the coefficient of the first term by the constant   1 • 28 = 28  

Step-2 :Find two factors of  28  whose sum equals the coefficient of the middle term, which is   -16 .

-28 +   -1  =  -29  

-14 +  -2 =  -16  

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  -2

x2 - 14x - 2x - 28

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

          x • (x-14)

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

          2 • (x-14)

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

     (x-2)  •  (x-14)

Answer:

x=14

Answer:

When the positive number is greater than the negative number

Step-by-step explanation:

-6 + 7 =1 because -6 + 6 + 0 then you add 1.

Answer:

1. there are to negatives or two positives

2. there is one positive and one negative

Answer:

30.5

Step-by-step explanation:

hope that helps

Answer: 5 pizzas and 17 sodas were bought

Step-by-step explanation:

I don't have answers for a or b but I have them for c.

          Number of pizzas

      9.50n+1.25(3n+2)=68.75

         9.50+3.75n+2.50=68.75

           combine like terms

         13.25+2.5= 68.75

      subtract from both sides

     13.25=68.75-2.5

         13.35=66.25

            Divide

             n=5

         Number of sodas

        3n+2=3(5)+2=15+2=17

Answer:

About 0.95

Step-by-step explanation:

Answer:

0.9514859136

Step-by-step explanation: I use calculator lol

the answer would be 48 green marbles

Step-by-step explanation:

48/6=8

So, each person would get 8 marbles each

Answer:

D

Step-by-step explanation:

BRAINLIEST PLS