Translate into an equation or inequality. Do not solve.

“One-third of a number is at most 12”

Answer:

4/25

Step-by-step explanation:

Total amount of marbles: 8 + 5 + 12 = 25

With 25 marbles, the probability of picking a red is: 12/25

After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3

Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25

Answer:

[tex]g(x) = {(x + 9)}^{2} [/tex]

Answer:

736 Maybe

Step-by-step explanation:

Well what you gotta do is the triangles on the sides can be moved to form mini rectangles. When you do this you get 8 by 15 rectangles and since you have 4 of then you multiply those by 4. 8*15= 120 and 120*4 = 480. Then all you need to fing is the center square pretty easy to find that square right. Its just 16*16 = 256. And 480+256=736.

I hope this helps.

The surface area of the square base pyramid is 736 cm².

Surface area = A + 1 / 2 ps

where

A = base area

p = perimeter of the base

s = slant height

Therefore,

A = 16² = 256 cm²

p = 4(16) = 64 cm

s = 15 cm

surface area = 256 + 1 /  2 × 64 × 15

surface area = 256 + 480

surface area = 736 cm²

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Answer:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Step-by-step explanation:

The formula for the equation of a circle is:

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

where (h,k) is the center and r is the radius of the circle.

To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:

[tex]\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)\ }{2}[/tex]

The points given are (12,8) and (4,6), so plug in the coordinates into the formula.

Center = (1/2)(12+4),(1/2)(8+6)

            = (8,7)

Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:

[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]

Radius = √(x₂- x₁)² + (y₂-y₁)²

            = √(12- 8)² + (8-7)²

            = √(4² + 1²) = √(16+ 1) = √17

            = r² = 17

Now that the radius and the center are known, the equation of the circle can be written as:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Answer:

Option D.

Step-by-step explanation:

The given parent function is

[tex]f(x)=\dfrac{1}{x}[/tex]

The given function is

[tex]g(x)=\dfrac{1}{x+4}-6[/tex]

Using the parent function, the given function can be written as

[tex]g(x)=f(x+4)-6[/tex]        ...(1)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]        .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=4>0[/tex], it means the graph shifts 4 units left.

[tex]b=-6<0[/tex], it means the graph shifts 6 units down.

So, g(x) is shifted 4 units left and 6 units down from f(x).

Therefore, the correct option is D.

Transformation involves changing the form of a function.

The true option is (d) g(x) is shifted 4 units left and 6 units down from f(x).

The functions are given as:

[tex]g(x)= \frac{1}{x + 4} - 6[/tex]

[tex]f(x)= \frac{1}{x}[/tex]

Start by shifting the function to the left, by 4 units.

This is represented as:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]f'(x)= \frac{1}{x + 4}[/tex]

Next, shift the function down, by 6 units.

This is represented as:

[tex](x,y) \to (x,y - 6)[/tex]

So, we have:

[tex]g(x)= \frac{1}{x + 4} - 6[/tex]

Hence, the true option is (d)

Read more about transformation at:

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Answer:

I am 99% sure its 33 servings

Step-by-step explanation:

because the question says that "how many servings of cups are in 33 cups".

(hopefully im right) and HOPEFULLY THIS HELPS. : )

Answer:

y = x² + 18x + 94

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 9, 13) and letting a = 1, then

y = (x + 9)² + 13 ← expand (x + 9)² using FOIL

   = x² + 18x + 81 + 13

   = x² + 18x + 94

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

Answer:

5

Step-by-step explanation:

2x - ( x - 7 ) = x + 7

x + 7 = 12

x = 12- 7 = 5

the number is 5

Answer:

A

Step-by-step explanation:

These two coordinates in (x,y) form have the same value for x, so they only differ in the y-value. That means if we subtract the y-values, that’s the vertical distance!

-8 - 3 = -11

(It helps me to think of this as -8 + -3.) They’re 11 units apart: think of it like a absolute value.

So the answer is A. 11

Answer:

a) -2/1

b) 5/2

c) 8/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]a)-2=\frac{-2}{1}\\\\b)2.5=\frac{25}{10}=\frac{5}{2}\\\\c)1\frac{3}{5}=\frac{8}{5}[/tex]

Answer:

113.04 inches

use the formula for the area a circle

[tex]A=\pi a^{2}[/tex]

:

Answer:

50.625 miles per hour (mph)

Step-by-step explanation:

Step 1: Divide

405/8

= 50.625

mark as brainliest please, I need a few more :)

Answer:

0 in the end they all burn out

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

simplify the expression

exact form :

5/36

decimal form :

0.138

Answer:

D.36

Step-by-step explanation:

you have to subtract them to get your answer.

Answer:

x = 5

Step-by-step explanation:

This is a right triangle with hypotenuse x

We can use the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = x^2

9+16= x^2

25=x^2

Take the square root of each side

sqrt(25) = sqrt(x^2)

5 = x

Answer:

you should accept the $1,000 bill

Step-by-step explanation:

Given the information:

P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3

P (rolling a 3) = 1/6

P (rolling 4 or 5 or 6) = 3/6 = 1/2

Hence, the expected value for 1 time is:

E = (1/3)*500 + (1/6)*400 - (1/2)*300

E = $166 + $66 - $150

E = $82

Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820

The expected value is $82, meaning you should accept the $1,000 bill

Answer:

P = 40.56 in (ANS)

Step-by-step explanation:

radius = 8/2 = 4 in

semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in

figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)

The value of the expression using BODMAS rule is 9.

To simplify the arithmetic expression involving more operators, we need to  use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.

For the given situation,

The values are c = -4, d = 10

The expression is 1/4(c^3+d^2)

Substitute the above values,

⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]

⇒ [tex]\frac{1}{4}(-64+100)[/tex]

⇒ [tex]\frac{1}{4}(36)[/tex]

⇒ [tex]9[/tex]

Hence we can conclude that the value of the expression using BODMAS rule is 9.

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Answer: 9

Step-by-step explanation:no clue how I got it but the test marked it correct

Answer: it’s the first one.

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

a)

Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:

[tex]\dfrac{86+83+81+x}{4}=85[/tex]

b)

Multiply both sides by 4:

[tex]86+83+81+x=340\\x=90[/tex]

Hope this helps!

Answer: 1/4a - 1/6b + 1/10c

Hope this helped! Have a great rest of your day :)

Answer: 5.4 x 10^8 on Khan Academy

The scientific notation of the expression is,

⇒ 5.4 × 10⁸

Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.

Given that;

The expression is,

⇒ 1.4 x 10⁹ - 8.6 x 10⁸

Now, Simplify the expression as;

⇒ 1.4 x 10⁹ - 8.6 x 10⁸

⇒ 14 x 10⁸ - 8.6 x 10⁸

⇒ (14 - 8.6) × 10⁸

⇒ 5.4 × 10⁸

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Answer:

Answers are below

Step-by-step explanation:

a. 4⁄16      Proper because the numerator is less than the denominator.

b. 75⁄70   Improper because the numerator is greater than the denominator.

c. 2⁄15      Proper because the numerator is less than the denominator.

d. 6⁄6       Proper because the numerator is less than or equal to the denominator.

If these answers are correct, please make me Brainliest!

Answer:

15

Step-by-step explanation:

pythag theorum

Answer:

15

Step-by-step explanation:

Pythagorean  thm. says a^2+b^2=c^2 where a and b are the legs of the triangle and c is the hypotenuse.

The hypotenuse, c = 17

Leg b =8

a^2=c^2-b^2

a^2=17*17-8*8

a^2=289-64

a^2=225

Take the square root of both sides.

a = 15

Answer:

y = x2 + x - 20 factors into

y = (x +5) * (x -4)

Step-by-step explanation:

Answer:

y = (x + 5)(x - 4)

Step-by-step explanation:

Given

y = x² + x - 20

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 1)

The factors are + 5 and - 4, since

5 × - 4 = - 20 and 5 - 4 = + 1, thus

x² + x - 20 = (x + 5)(x - 4)