3.(09.01 MC)
Henry rolls 2 number cubes numbered 1 through 6 while playing his favorite board game. He will get a second turn if he rolls a sum that is an even number less than 10.
What are Henry's chances of getting a second turn when he rolls the number cubes? (2 points)

Answer:

19/28 or about 68%

Step-by-step explanation:

7 + 12 + 9 = 28

7 + 12/28

19/28

Answer:

3/4 times 3

Step-by-step explanation:

9/4 in fraction form, so it equal 2 1/4. Hope this helps

Answer:

[tex]h_{max} = 14.2m[/tex]

[tex]t = 1.2[/tex]

The height of the diver is 7m

Step-by-step explanation:

Given

[tex]h(t) =-5t^2 + 12t + 7[/tex]

Solving (a): The maximum height reached

First, we calculate the time to reach the maximum height using:

[tex]t = - \frac{b}{2a}[/tex] --- maximum of a function

Where

[tex]a = -5; b = 12; c = 7[/tex]

So, we have:

[tex]t = -\frac{12}{-2 * 5}[/tex]

[tex]t = \frac{12}{10}[/tex]

[tex]t = 1.2[/tex]

So, the maximum height is:

[tex]h(t) =-5t^2 + 12t + 7[/tex]

[tex]h(1.2)=-5 * 1.2^2 + 12 * 1.2 + 7[/tex]

[tex]h(1.2)=14.2[/tex]

Hence:

[tex]h_{max} = 14.2m[/tex]

Solving (b): Time to reach maximum height

This has been calculated in (a)

[tex]t = 1.2[/tex]

Solving (c): Height of the board.

This can be calculated by setting [tex]t =0[/tex] --- i.e. the height of the diver before diving

So, we have:

[tex]h(t) =-5t^2 + 12t + 7[/tex]

[tex]h(0) = -5 * 0^2 + 12 * 0 + 7[/tex]

[tex]h(0) = 7[/tex]

Answer:

=-76

hope it is helpful to you ☺️

Answer:

[tex]76[/tex]

Step-by-step explanation:

[tex]2 - 78[/tex]

[tex]-76[/tex]

533/100 then simplify

5 and 33/100

But that isn't an option and none of those options convert into 5.33, and I haven't been able to solve 3.75 repeating yet nor think it would convert into 5.33 anyhow. Please correct me if I'm solving this wrong.

Answer:

law of cosines states c^2=a^2+b^2-2abc

b^2=26^2+24^2-2(26×24)cos 134°

b^2=676+576-1248cos134°

cos134= -0.6946

b^2=1252-12(-0.6946)

12×(-0.6946)= -8.3352

b^2=1252-(-8.3352)

b^2=1252+8.3352

b^2=1260.33

b=√1260.33

b=35.50

Answer:

Here you go

Step-by-step explanation:

BTW what is meant by point in the last blank?

Answer:

equation y = 3x-1

slope = 3

about the point blank I'm not sure what it is asking for

Answer:

2/6 =1/3

Step-by-step explanation:

2/1 = 2

6/2 = 3

Answer:

Step-by-step explanation:

(-5,4)=since x coordinate is negative and y coordinate is positive it lies on 2 nd quadrant.

(4,-2)=x coordinate is positive and y coordinate is negative so it lies on 4 th quadrant

(7,2)=both x coordinate and y coordinate are positive so they lie in 1 st quadrant.

(-3,-7) =both x and y coordinate are negative so they lie on 3 nd quadrant

Answer:99.2

Step-by-step explanation:

Speed = distance÷time

496÷5=99.2

Answer:

$39.055

Step-by-step explanation:

100% + 7% = 107%

[tex]\frac{y}{36.5} :\frac{107}{100}[/tex]

y · 100 = 107 · 36.5

100y = 3905.5

100y ÷ 100 = 3905.5 ÷ 100

y = 39.055

Answer:

2x + y - 6 = 0

Step-by-step explanation:

Here, C represents a constant value. So the only thing we really need to do here is subtract 6 because 6 is a constant value and because we would get 0 on the right side. I know this isn't a very good explanation so feel free to ask me any questions that you may have.

Answer:

number of people work in service jobs

[tex]949 \: 200 \times \frac{20}{100} \\ 189 840[/tex]

answer is option C

Answer:

[tex]Width = x^2 - 8[/tex]

Step-by-step explanation:

Given

[tex]L = 16 + W[/tex]

[tex]Area = x^4 - 64[/tex]

Required

An expression for the width

We have:

[tex]Area = x^4 - 64[/tex]

Express as difference of two squares:

[tex]Area = (x^2 + 8)(x^2 - 8)[/tex]

For all acceptable values of x,

[tex]x^2 + 8>x^2 - 8[/tex]

So:

[tex]Length = x^2 + 8[/tex]

[tex]Width = x^2 - 8[/tex]

Answer:

1,256.8in

Step-by-step explanation:

Given data

Height h =4in

Radius r= 5in

The expression for the volume of cylinder is

V=πr²h

Substitute

V=3.142*4²*5

V=3.142 *16*25

V=1,256.8in³

Answer:

4-9y^2

Step-by-step explanation:

(2+3y)(2-3y)

2*2

2*-3y

3y*2

3y*-3y

4-6y+6y-9y^2

4-9y^2

Answer:

[tex]4−9 {y}^{2} [/tex]

Step-by-step explanation:

[tex](2+3y)(2−3y)[/tex]

[tex]2(2−3y)+3y(2−3y)[/tex]

[tex]2 \times 2+2(−3y)+3y(2−3y)[/tex]

[tex]2 \times 2+2(−3y)+3y \times 2+3y(−3y)[/tex]

[tex]4−6y+6y−9 {y}^{2} [/tex]

[tex]4+0−9 {y}^{2} [/tex]

[tex]4−9 {y}^{2} [/tex]

Answer:

The answer is D

Answer:

Use the distributive property to multiply 3 by x−2.

y=(3x−6)(x+1)(x−4)

Use the distributive property to multiply 3x−6 by x+1 and combine like terms.  y=(3x  2  −3x−6)(x−4)

Use the distributive property to multiply 3x  2 −3x−6 by x−4 and combine like terms. y =3x  3 −15x  2  +6x+24

Step-by-step explanation:

I also up a link there of a graph. Please tell me if you can open it. Hope this helps! :P

all real numbers are greater than or equal to 2

Answer:

C) 157 [tex]cm^3[/tex]

Step-by-step explanation:

[tex](3.14)5^2*6/3= 157[/tex][tex]cm^3[/tex]

Hope this helped! :)

Answer:

7^4

Step-by-step explanation:

7^12  / 7^8

We know that a^b / a^c = a^(b-c)

7^(12-8)

7^4

Answer:

7^4

Step-by-step explanation:

7^(12 - 8)

7^4

Bye!

Have a nice day! :-)

Answer:

31.4

Step-by-step explanation:

Answer:

1/8 of a sandwich

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

The area of a rectangle is,

[tex]A=length\times width.[/tex]

The area of triangle is

[tex]A^*= \frac{1}{2} \times base\times height[/tex]

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

[tex]R =l\times w \\R=10\times 6 \\R= 60[/tex]

The triangle to the right

[tex]T_1 = (14-10)\times 6/2 = 12[/tex]

The triangle on the top

[tex]T_2 = 10\times (10-6)/2 = 20[/tex]

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

To learn more about the area visit:

https://brainly.com/question/3948796