Evaluate the function f(x)= |x+4|−5 for

The squirrel sleeps 2548 hours more than the rabbit.

Difference of the numbers

Difference of the numbers means the result of subtracting one number from another.

Given,

If there are 52 weeks in a year,

Then we need to find how many more hours does a squirrel sleep in a year than a rabbit.

First, we have to find the sleeping pattern of squirrel  and rabbit.

A squirrel spends up to 60% of its day asleep, which means that an average squirrel sleeps for almost 15 hours each day.

Similarly, the rabbits are sleep six to eight hours each day.

So for one day,

Rabbit = 8 hours per day

Squirrel = 15 hours per day.

Then the sleeping hours for one week is

Rabbit = 8 x 7 = 56 hours

Squirrel = 15 x 7 = 105 hours

So, for 52 weeks, they spend

Rabbit = 56 x 52 = 2912

Squirrel = 105 x 52 = 5460

So, the difference is

=> 5460 - 2912

=> 2548

Therefore, the squirrel sleeps 2548 hours more than the rabbit.

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Answer:

fifth letter: E

eighth letter: H

third letter: C

Im not sure

5 * 5 - 1 * 3

Since multiplication goes before addition in PEMDAS, we do the multiplication first.

25 - 3

2

Answer:

22

Step-by-step explanation:

5•5-1•3

(5 x 5) - (1 x 3)

25 - 3

22

You would multiply both separately and then subtract.

Remember PEMDAS

:)

Answer:

-6

Step-by-step explanation:

use PEMDAS

start with the exponent: (-4)^2=16

-12 / 3 * (-8 + 16 - 6) +2

then the parentheses: (-8+16-6)=2

-12 / 3 * 2 +2

next is multiplication/division, division comes first so: -12/3=-4

-4 * 2 +2

then multiplication: -4*2=-8

-8+2=-6

Answer:

-32

Step-by-step explanation:

Pal, it's M A T H

Answer:

-32

Step-by-step explanation:

x-2x-20=12

-x=32

x=-32

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

Answer:

None of those answers contain a polynomial of degree 4. None have a leading coefficient of 9.

Step-by-step explanation:

The degree of such a polynomial is equal to the highest exponent on x.

The leading coefficient is the coefficient for the highest exponent of x.

No. of steps in one week = 66000

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

In weekday = 10000

In weekend = 8000

There are 5 weekdays and  2 days in weekend

SO,  5 x 10000 + 2 x 8000

  = 50000 + 16000

   = 66000 steps.

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Answer:

12:2

Step-by-step explanation:

THIS IS TRUE AND EASY

Answer:

12:2

24:4

30:5

36:6

42:7

===================================================

Explanation:

Compare the equation

[tex]y = (x-2)^2 - 4[/tex]

to the vertex form

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

we have:

The vertex is located at (h,k) = (2, -4). Nice job on getting the correct answer for the vertex.

The axis of symmetry is x = 2 since the axis of symmetry goes through the vertex. It's the vertical mirror line.

Because a = 1 is positive, the parabola opens upward. It forms a bowl shape. The vertex is the lowest point.

If a < 0, then the parabola would open downward and have a highest point.

Using translation concepts, we have that:

a) The parent function is f(x) = |x|.

b) The transformations were a reflection over the x-axis, vertical stretch by a factor of 2 and a shift down of 3 units.

c) The graph is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

f(x) = |x|.

The transformations are given as follows:

The graph of the two functions, the parent(red) and the translated(blue), is given at the end of the answer.

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The intersection of three sets A,B and C is {₋2 , 11}.

Given set A = {₋2,7,8,11}

set B = {₋2,7,11}

set C = {₋2,8,11}

we need to find A∩B∩C.

The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.

To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.

we first find:

A∩B = {₋2,7,8,11} ∩  {₋2,7,11}

=  {₋2,7,11}

then B ∩ C =  {₋2,7,11} ∩  {₋2,8,11}

= {₋2 , 11}

now (A∩B) ∩ (B∩C) =  {₋2,7,11} ∩ {₋2 , 11}

= {₋2 , 11}

hence we get the intersection of three sets as {₋2 , 11}

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Answer:

13/4

Step-by-step explanation:

_______________________________

The value of the expression according to the order of operations is -11. Thus option D is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.

From the given information:

The expression are :

(-2)-3-6

Now solve it with the order then

(-2)-3-6 = (-2)-3-6

(-2)-3-6 = -2-3-6

Now add the first two terms

then

(-2)-3-6 = -5-6

Now, Add next two terms

Then

(-2)-3-6 = -11.

The value becomes -11.

So, The value of the expression according to the order of operations is -11. Thus option D is correct.

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Answer:

Step-by-step explanation:

the answer you end up getting is D

2x/2 > 12/2x > 6

Because x is greater than 2

The center of segment FG is located at point N. Write the formula that expresses FG if FN = 2z2 + 4z + 3.

Since O represents the midway, both FO and OG must be equal.

3x + 17 = 7x - 15

Add 3x to both sides and subtract:

17 = 4x -15

To both sides, add 15:

32 = 4x

Subtract 4 from both sides:

x = 32/4

X = 8

Now that you know the value of X, find the lengths:

FO = 3x +17 = 3(8) +17 = 24 +17 = 41

OG = 7x -15 = 7(8) -15 = 56-15 = 41

Total length would be 41 + 41 = 82

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Answer:

2

Step-by-step explanation:

To get the slope you must subtract the second y-coordinate and the first y-coordinate (of the 2 given points) and divide that by the difference of second x-coordinate and first x-coordinate (of the 2 given points).

y-coordinate 2 - y-coordinate 1

--------------------------------------------- <----- fraction bar/ divide

x-coordinate 2 - x-coordinate 1

3 - 1 2

------ = ---- = 2

1 - 0 1

Slope = 2

The value of x is -8 in the equation.

It should be noted that the information is that the number 80 is the product of "-10" and x.

This will be represented as:

-10 × x = 80

-10x = 80

Divide both side by -10

-10x/-10 = 80/-10

x = -8

Therefore, the value of x is -8.

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Answer:

smallest to largest will be:

437.05 , 437.15, 437.49, 437.5, 437.55

Step-by-step explanation:

an easier method i use is to simply check the 1st digit rhat comes after the decimal point if the whole numbers are similar.

in a case where there is only one number after the decimal while the rest have 2, for example 437.5, simply add a 0 to make it even as the rest

Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

Answer:

28y - 4

Step-by-step explanation:

multiply 28 by everything in the bracket

28y - (28/7)

28y - 4

Consider the composite function g (f (x)) = x startroot 6 endroot. if f(x) = 3x2,  g (x) = StartRoot 2 x EndRoot.

What is squareroot?

Example of a square root-

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Answer: C

Step-by-step explanation:

A negative times a negative equals a positive.

Answer:

272/49

Step-by-step explanation:

hope this helps :)

Answer:

square of the following

2×2=4

3×3=9

4×4=16

2×2×2=8

now

square root

√4

√2×2

=2 answer likewise other

again

cube root

√8

=√2×2×2

=2 through that you can find these

at first you should know square and cube of different numbers from 1 to 20 is the required you should know then you can easily find out answer

==================================================

Work Shown:

AB+BC = AC

(11) + (2x-1) = 3x+3

2x+10 = 3x+3

2x-3x = 3-10

-x = -7

x = 7

which is then use to find:

As a check,

AB+BC = 11+13 = 24 = AC which confirms the answer.

Answer: 2: v = -26 | 3: k = 7 | 4: x = 3/14 |

Step-by-step explanation:

---------------------------------------------------------------------------------------------------

2: 4 + v/8 = 3/4

First we have to leave the variable "v" alone and we do the opposite on the other side.

So we do 4 + v/8 = 3/4 ----> v/8 = 3/4 - 4

---> v/8 = -3 1/4

next we do 8 * v/8 = -3 1/4 * 8

We get v = -26

---------------------------------------------------------------------------------------------------

3: 2/3 + 3/4k = 71/12

Subtract 2/3 from both sides

= 3/4k = 63/12

Reduce 63/12 to 21/4

= 3/4k = 21/4

Multiply each side by 4/3, the reciprocall of 3/4

then we get k = 21/3

Which means k = 7

---------------------------------------------------------------------------------------------------

4: 1/2 + 7/10x = 13/20

Subtact 1/2 from both sides

= 7/10x = 3/20

Multiply each side by 10/7, the reciprocal of 7/10

x = 3 * 10/20 * 7

= x = 30/140

= x = 3/14

The balance amount at the end of 4 years in the account will be $53275

Principal amount= $44200

Rate of interest = 5% compounded annually

Number of years amount is invested for: 4 years

The formula for compound interest is given by:

A = P(1 + r/100)^n

where A = Final amount

P = principal amount invested

r = Rate of interest annually

n = number of years amount is invested

Putting the values in the formula we get:

A = 44200(1 + 5/100)^4

= 44200(1.05)^4

=44200*1.21

Amount at end of 4 years= 53725.37 or 53725

So, the balance amount at the end of 4 years in the account will be $53275

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