a. 135
b. 120
c. 144
d. 108

Answer:

The Probability is 63.7%

Step-by-step explanation:

We need to calculate the area of the circle and the area of the square

From the question, we can see that the square is of side 4 √2 cm

The area of the square is simply the square of its side length

We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2

The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm

So, we have the area of the circle as;

Pi * r^2

= 22/7 * 4 * 4 = 50.3 cm^2

so, to find the probability, we need to divide the area of the circle by the area of the square

we have this as;

32/50.3 = 0.6366

In percentage, we simply multiply by 100% to give

0.6366 * 100% = 63.66%

To the nearest tenth, this is 63.7%

Answer:

1/2

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = (y2-y1)/(x2-x1)

    = (22-21)/(6-4)

    = 1/2

Answer:

slope , m = 1/2

Step-by-step explanation:

We have two points which are ( 6,22) and (4,21).

To find slope , using slope formula

m = ( y² - y¹ ) / ( x ² - x ¹)

Where,

Substitute the values into the formula

m = ( 22 - 21 ) / ( 6 - 4 )

m = 1 / 2

Answer:

16000 grams

Step-by-step explanation:

To change kilograms to grams,  multiply by 1000 grams

16 kilograms  * 1000g / 1 kg

16*1000 grams

16000 grams

Hope this helps!!!

Have a great day!!!

Answer:

15x=100?

Step-by-step explanation:

this equation would show how many steps it takes to get to the surface sorry if this isnt the answer u wanted

Answer:

-25

Step-by-step explanation:

he rose 75 feet from being under 100 feet of water, making him 25 feet below the water's surface

Answer:

-64

Step-by-step explanation:

f(x)=-4^x

f(3)=-4^3=-64

Answer:

-64

Step-by-step explanation:

1) Substitute x with 3

-4^3

2) solve

-64

Answer:

3/4 of a mile

Step-by-step explanation:

.5+.25=.75

[tex]\geq[/tex]Answer:

part A---   -9[tex]\geq[/tex]9

Step-by-step explanation:

Answer:

answer -9>9

Step-by-step explanation:

rbfodnddn bdbndndn

Answer:

Proved

Step-by-step explanation:

Given

[tex]UPC = 0-58200-48826-5[/tex]

Required

Show that it is valid

Add up the elements at odd positions

[tex]Odd = 0 + 8 + 0 + 4+8+6[/tex]

[tex]Odd = 26[/tex]

Multiply by 3

[tex]Product = 26 * 3[/tex]

[tex]Product = 78[/tex]

Add up the elements at even positions

[tex]Even = 5 + 2 + 0 + 8 + 2 + 5[/tex]

[tex]Even = 22[/tex]

Add up both results

[tex]Result = 78 +22[/tex]

[tex]Result = 100[/tex]

Take modulus of 10

[tex]Result \% 10 = 100 \% 10[/tex]

[tex]Result \% 10 = 0[/tex]

Since the result of the modulus is 0, then the number is valid

Answer: 45%

Step-by-step explanation:

You need to purchase price to answer this question and I believe that purchase price to be $240,000.

The question wants to know the percentage of the purchase price that the down payment is and to find that out, use the following formula:

= Down payment / Purchase price * 100%

= 108,000 / 240,000 * 100%

= 45%

Answer:

45%

Step-by-step explanation:

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

Explanation:

This is after using the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.

We use nCr instead of nPr because the order of the toppings doesn't matter.

Answer:

10 to the 9th power

Step-by-step explanation:

The right Answer is:

x = 4

Answer:

x=4

Step-by-step explanation:

2/3 (x − 7) = −2

Multiply each side by 3/2

3/2 *2/3 (x − 7) = −2*3/2

x-7 = -3

Add 7 to each side

x-7+7 = -3+7

x=4

Answer:

x = 48; y = 13

Step-by-step explanation:

20/5 = 52/y

4 = 52/y

4y = 52

y = 13

20/5 = x/12

4 = x/12

x = 4 * 12

x = 48

Answer:

x = 48, y = 13

Step-by-step explanation:

Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48

Answer:

1) y=-10x+50 (it's the only negative slope / going down option and it starts at x=0 y=50)

just substitute the x with a 9

y=-10*9 +50

y= -40

2) 0.5x +5 (only positive slop and starting point at x=0 is correctly 5)

we do need to substitute y this time, with 30 obviously

30 = 0.5x +5 |-5

25 = 0.5x | *2

50 = x

3) y=-2x +50 reasoning as before

substitute x with 4

y =-2*4 +50

y = -8 +50

y = 42

Answer: -9/2

Step-by-step explanation:

Answer:

x = -9/2

Step-by-step explanation:

Use the law of exponents

(a^p)^q = a^(pq)

here on the left-hand-side

a=3

p=3

q=2x+6

so

(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)

The right-hand-side = 3^(2x)

Equate exponents of both sides

6x+18 = 2x

6x-2x = -18

4x = -18

x = -9/2

Answer:

I might be wrong but I think its the last answer choice.

Step-by-step explanation:

I'm sorry if its wrong :(

Answer:

Step-by-step explanation:

1. 56 + 81 = 137

2. The exterior angle theorem means that the 2 angles within a triangle that is on the opposite side of the angle outside the triangle could be added to find the angle that is outside of the triangle.

3. 56 and 81 are on the opposite side of the "x" outside the triangle which means that they could be added together which equals 137 degrees.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

2cm

Step-by-step explanation:

First, it is important to define both the radius and diameter. A diameter is the length of a line through the center of a circle that touches two points on the edge.

In the semicircle on the top, if we can imagine it making up a full circle, we can note that the bottom center of the semicircle is the center of the full circle, with the line of length 4cm going right through it. Similarly, for the bottom semicircle, as the line between the semicircles is straight, the diameter for that one is 4cm as well.

The radius is equal to half of the diameter. The diameter is 4cm, so the radius is 4cm/2 = 2cm

Answer:

you have to add each

Step-by-step explanation:

Answer:

-5+(√x-3) and -(√x-3)-5

Step-by-step explanation:

change f(x) to 'y' and then interchange x and y; then solve for y

y = x² + 10x + 28

x = y² + 10y + 28

you can use the Quadratic Formula to evaluate y² + 10y + 28 and will get:

-5+(√x-3) and -(√x-3)-5

Answer:

24 blocks

Step-by-step explanation:

2(5) + 2(7) = 10 + 14

Answer:

the first second and third option are binomials

Answer:

Step-by-step explanation:

6400(1+i)³=8334

(1+i)³=1.3021875

∛(1+i)³=∛(1.3021875)

1+i= 1.092

i= .092

I guess if you were to round to 1 decimal point it'd be .1

2/5 ≤ x-4

0.4 ≤ x-4

let's just add 4 on both sides

0.4 +4 ≤ x-4 +4

4.4 ≤ x

simple as that. just handle inequalities like you would handle equations

Answer:

below

Step-by-step explanation:

∆y/∆x

2.3/1.5

= 1.533

Answer:

range = {11,-1,-4,-13}

Step-by-step explanation:

domain is "input" range is "output"

just "plug" {-3, 1, 2,5} into -3x + 2 one at a time

Step-by-step explanation:

600 ft

is your answer

I hope it helps

Answer:

6:

[tex] {x}^{2} - 2x - 3 \\ = (x - 3)(x + 1) \\ when \: y = 2 \\ x = 1 \\ vertex \: is \: (1, \: 2)[/tex]

7:

[tex] {x}^{2} = - 625 \\ x = \sqrt{ - 625} \\ x = \sqrt{625} \times \sqrt{ - 1} \\ x = 25 \times \sqrt{ {i}^{2} } \\ x = 25 \times i \\ x = 25i[/tex]

Answer:30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Descending order:

6.21     ;           2.62   ;  2.612    ; 2.061    ;  0.66

First see the whole number. write the number with biggest whole number.

6.21

2) Then three numbers have 2 . So, now compare the tenth place.

Two numbers have same place value 2.62 and 2.612.

Compare the hundredth place value in these two numbers.

So, 2.62

3) 2.612

4) 2.061

5) 0.66 is the smallest