Absolute value inequality

Answers

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Find the mean of the numbers 10, 11, 12, 14, 12, 11, 13, 12, 14, and 11.

Answers

Answer:

mean = 12

Step-by-step explanation:

the mean of a data set is calculated as

mean = $(sum)/(count)$

sum = 10 + 11 + 12 + 14 + 12 + 11 + 13 + 12 + 14 + 11 = 120

there are 10 values, so count = 10

Then

mean = $(120)/(10)$ = 12

Solve the inequality. 42 < –6d
A. d < –7
B. d < 36
C. d > –7
D. d < –48

Answers

42 < -6d

divide 6 by both sides,

7 < -d

In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44?

Answers

Answer:

$d=(7)/(22)* 154=49$

Step-by-step explanation:

Let circumference be C and diameter be d.

In a circle, the circumference and diameter vary directly that is

C = kd

You know that in a second circle the diameter is 14 when the circumference is 44.

C = kd

44 = k x 14

$k=(44)/(14)=(22)/(7)$

Circumference of unknown diameter circle = 154

$154=(22)/(7)d\n\nd=(7)/(22)* 154 = 49$

d=kC
Plug in what we know and solve for k:
14=k(44)
k=14/44

so
d=(14/44)(154)
x=49

A group of friends ordered two pizzas, one with pepperoni and one with mushrooms and green peppers. A plain pizza costs 9 dollars. Each extra topping costs 1 dollar. How much did the two pizzas cost?

Answers

Answer:

Total cost for two pizzas = 21 dollars

Step-by-step explanation:

Price of plain pizza = 9 dollars.

Price of topping = 1 dollar

Number of pizzas ordered = 2

Price of pepperoni pizza = 9 + 1 = 10 dollars.

Price of mushroom and pepper pizza = 9 + 2 = 11 dollars.

Total cost of 2 pizzas = 10 + 11 = 21 dollars

Total cost for two pizzas = 21 dollars

(9 + 1) + (9 + 2) =

21 dollars

-13=7d+64 what is the answer

Answers

Step 1: move 64 to a left side, -13 - 64 = 7d

Step 2: -77 = 7d

Step 3: $(-77)/(7)$ = d

Step 4: d = -11

it is d=11
because u subtract the negative 64 with a positive for a positive and negative turn 0 then u got to do the same side with -13-(-64)=7d then u add -13+-64=77 after u done that it will be 77=7d divide it by 7 on both side then u get d=11

Why is h²=p²+b²plz somebody help me

Answers

Answer:

This formula is related to Pythagorus theorem which states that in a right angled triangle square of hypotenuse is equal to sum of the squares of other two sides.

In other words, C²=B²+A²

Other Questions

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Consider the function f (x) = x³ – 7x² + 3x + 2. 1) Find the derivative, f ’(x). 2) Find the second derivative, f ’’(x). 3) Find the critical numbers of f (x) - just the x-values. 4) Use either the First Derivative Test or the Second Derivative Test to determine if these critical values are a relative maximum or relative minimum. 5) Compute the corresponding y-values and clearly label the relative maximum point and relative minimum point. 6) Find the absolute maximum point and absolute minimum point of f (x) on the interval [-2, 6]. 7) Find the inflection point of f (x).

What is the discriminant of the quadratic equation 2x + 5x2 = 1?

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q.12 - 8x^2 + x^4 = 0 A) (x2 - 4)2 = -4 B) (x2 - 4)2 = 4 C) (x2 - 2)2 = -4 D) (x2 - 2)2 = 4