Question 4
4 pts
You roll 2 fair 6-sided dice. What is the probability of rolling a sum of 7 or more?
18/36 or 1/2
20/36 or 5/9
19/39
21/36 or 7/12

Answer:

[tex]h = x^2+3x-5[/tex]

Step-by-step explanation:

Given

[tex]V = x^4 + 11x^3 + 34x^2 + 5x - 75[/tex]

[tex]L = x + 5[/tex]

[tex]W = x + 3[/tex]

Required

Determine the height (h) of the prism

Volume is calculated as:

[tex]V =lwh[/tex]

Substitute values for V, l and w

[tex]x^4 + 11x^3 + 34x^2 + 5x - 75 = (x + 5) * (x + 3) * h[/tex]

Factorize the expression on the left-hand side

[tex](x+3)(x^3+8x^2+10x-25)= (x + 5) * (x + 3) * h[/tex]

Further, factorize:

[tex](x+3)(x+5)(x^2+3x-5)= (x + 5) * (x + 3) * h[/tex]

Divide both sides by (x+3)(x+5)

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= \frac{(x + 5) * (x + 3) * h}{(x+3)(x+5)}[/tex]

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= h[/tex]

[tex](x^2+3x-5)= h[/tex]

[tex]x^2+3x-5= h[/tex]

[tex]h = x^2+3x-5[/tex]

The height of the prism is [tex]x^2+3x-5[/tex]

Answer:

Any fraction that will reduce to -3/2 will be equivalent to -3/2.

Examples:

-6/4

-24/16

Answer:

-6/4

Step-by-step explanation:

You can just multiply them by any factor. Remeber that what you do to the bottom you do to the top.

So,

-3/2 x 2

-6/4 (this is a fraction equivalent to it.

hope this heped :)

Answer:

theta = 22.6 degrees

Step-by-step explanation:

Here, we want to find the value of theta

To do this , we use the appropriate trigonometric identity

Let us identify the given sides of the triangle

we have the hypotenuse, which is the longest side of the triangle, given as 13 and the third side called the adjacent, given as 12

The trigonometric identity that relates the hypotenuse to the adjacent is the cosine

Mathematically;

cosine of an angle is the ratio of the adjacent to the hypotenuse

Thus, we have it that;

cos theta = 12/13

theta = arc(cos) 12/13

theta= 22.6

Answer:

The answer is (12,-23)

Answer:

c

Step-by-step explanation:

mabye not but meh

Answer:

6 elephants and 3 kangaroos in the zoo.

Step-by-step explanation:

Number of animals = 9

Number of legs seen = 30

But an elephant has 4 legs, while a kangaroo has 2 legs.

Let the number of elephant be represented by E, and the number of kangaroo by K.

So that,

E + K = 9 .................. 1

4E + 2K = 30 ............. 2

Multiply equation 1 by 2 to have

2E + 2K = 18 ............ 3

Subtract equation 3 from 1

2E = 12

E = 6

Substitute the value of E in equation 1

E + K = 9

6 + K = 9

k = 3

Thus, there were 6 elephants and 3 kangaroos in the zoo.

Answer:

1 11/24

Step-by-step explanation:

30/48+40/48=70/48=1 11/24

Answer:

15/24 + 20/24 = 35/24 = 1 11/24

Step-by-step explanation:

because 6 and 8 lcm = 24 soooo

5x4 + 5x3 = 20 + 15 = 20/24 + 15/24

which is 35/24 which equals 1 11/24

hope it helps :>

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

h = [tex]\frac{3v}{\pi r^{2} }[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Ang mga Babae sa Relihiyon at Pilosopiya sa Asya. Limang Ugnayan. emperador-mamamayan. ama-anak na lalaki.

Ans=8

Step-by-step explanation:

...............................

Answer:

6edkruky4jeyenegnyejyehetngenegn

Answer:

A=21

Step-by-step explanation:

a/7 + a/3 = 10

3a/21+7a/21=210/21

3a+7a=210

10a=210

a=21

Answer:

x=5

y=-5.8

Step-by-step explanation:

4x-3x=1x

1x=5

x=5

8(5)-5y=11

40-5y=11

40-11=29

-5y=29

29/-5=-5.8

y=-5.8

Answer:

x= 40.5

Step-by-step explanation:

4x+53=6x-28

-4x       -4x

53=2x-28

+28    +28

81=2x

2    2

40.5=x

Hope this helps!

(brainliest please)

Answer:

5

Step-by-step explanation:

Plz mark brainliest

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/5=5/2

x=25/2

x=12.5

Answer: slope= 2, y-intercept= 3

Answer:

Step-by-step explanation:

Answer:

square and what does the picture look like

Step-by-step explanation:

Answer:

30 times

Step-by-step explanation

Answer:

30

Step-by-step explanation:

Answer: 38

Step-by-step explanation:

Answer:

4

because it is the greatest power in the polynomial

Answer:

it already is in standard form

Step-by-step explanation:

Answer:

The second line cuts the x-axis at x = -5/2.

Step-by-step explanation:

The given line:

[tex]3x-2y=12[/tex]

Intersects a second line at x = 2.

This second line is perpendicular to the first.

And we want to find the second line's x-intercept.

First, rearrange the first line into slope intercept form:

[tex]-2y=-3x+12[/tex]

So:

[tex]\displaystyle y=\frac{3}{2}x-6[/tex]

We can see that the slope of the first line is 3/2.

It intersects the second line at x = 2.

So, the y-value of both the first and second line at x = 2 is the same.

Find the y-value by using the first line:

[tex]\displaystyle y=\frac{3}{2}(2)-6=3-6=-3[/tex]

So, a point on both lines is (2, -3).

Since the second line is perpendicular to the first, its slope it the first's negative reciprocal.

The negative reciprocal of 3/2 is -2/3.

So, the slope of the second line is -2/3.

And we determined that it passes through (2, -3).

Then by the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]\displaystyle y-(-3)=-\frac{2}{3}(x-2)[/tex]

Distribute:

[tex]\displaystyle y+3=-\frac{2}{3}x+\frac{4}{3}[/tex]

So:

[tex]\displaystyle y=-\frac{2}{3}x-\frac{5}{3}[/tex]

The second line will cut the x-axis when y = 0.

So:

[tex]\displaystyle 0 =-\frac{2}{3}x-\frac{5}{3}[/tex]

Multiply both sides by -3:

[tex]0=2x+5[/tex]

Solve for x:

[tex]\displaystyle x=-\frac{5}{2}[/tex]

The second line cuts the x-axis at x = -5/2.