Simplify. 1/3(1−1/4)^2

Given :

A mountain climber started his climb at 50 feet above see level .

He then raised 3 feet to rest in his cot to make his final 10 feet climb down.

To Find :

An expression to find his position relative to his final position.

Solution :

Let , final position is h .

h is given by :

[tex]h=\text{(Initial position)-(initial descended)+(height raised to rest)-(final descended)}\\\\h=50 -28 +3-10\ feet\\\\h=15\ feet[/tex]

So , his final position is 15 feet .

Hence , this is the required solution .

Answer:

The angle of PML is 68°.

Step-by-step explanation:

Given that total angles in a straight line is 180° so we can assume that ∠LMN is 180°. In order to find ∠PML, we have to subtract :

[tex]∠PML+∠ PMO + ∠OMN = 180[/tex]

[tex]∠PML + 90 + 22 = 180[/tex]

[tex]∠PML + 112 = 180[/tex]

[tex]∠PML = 180 - 112[/tex]

[tex]∠PML = 68[/tex]

Answer:

1) -66

2)

Step-by-step explanation:

Given:

a=4

b=-5

c=-7

=a+2bc

=4+2*-5*7

=4+(-10*7)

=4-70

=-66

=3a

=3(4)

=12

Hope this helps ;) ❤❤❤

Answer:

-66, 12

Step-by-step explanation:

4+2 times-5 times -7 times

-70+4= 66

Answer:

92, 95, 100, 120, 128

Step-by-step explanation:

92, 95, 100, 120, 128

Answer:

7 pounds 3 ounces

Step-by-step explanation:

There are 16 ounces in a pound. In order to convert ounces to pounds, we need to see how many 16s fit into 115 (how many full pounds can be made with 115 ounces) and add the remainder as ounces. To do this we can do long division (which gives us 7 remainder 3), or we can divide 115 by 16 (=7.1875) and convert the decimal places to ounces by multiplying 0.1875 pounds (the remainder) by 16 (as there are 16 ounces in pound) which gives us 3 ounces.

So 115 ounces is equal to 7 pounds and 3 ounces.

Hope this helped!

The baby's weight is 7 pounds and 3 ounces.

To convert ounces to pounds, we need to divide the number of ounces by the conversion factor, which is 16. There are 16 ounces in 1 pound.

Let's denote the baby's weight in ounces as W oz, the weight in pounds as W lb, and the remaining ounces as Roz.

W oz = 115 ounces

W lb = ?

R oz = ?

First, we divide the total number of ounces by 16 to find the number of pounds:

W lb = W oz / 16

= 115/ 16

= 7.1875 pounds

So, the baby weighs 7 pounds.

To determine the remaining ounces, we multiply the decimal portion of the pounds (0.1875) by 16:

R oz = 0.1875 x 6

R oz= 3 ounce

So, the baby weighs an additional 3 ounces.

Therefore, the baby's weight is 7 pounds and 3 ounces.

Learn more about Unit Conversion here:

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#SPJ6

Answer:

Swimmer's velocity = 1.4 m/s west (Approx)

Step-by-step explanation:

Given:

Total time taken = 35 seconds

Total displacement to west = 50 meter

Find:

Swimmer's velocity

Computation:

Swimmer's velocity = Total displacement to west / Total time taken

Swimmer's velocity = 50 / 35

Swimmer's velocity = 1.428

Swimmer's velocity = 1.4 m/s west (Approx)

Answer:

approximately 1.4 m/s west

yeeeeeeeeeeet

Answer:

0.......................

Step-by-step explanation:

its b..........

Bbbbb

The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: [tex]0.95(200h) + 0.90(22000m)[/tex]

Given that

[tex]h \to[/tex] days of hand pickers word

[tex]m \to[/tex] days harvester machine is used

[tex]n_h = 200[/tex] --- pounds of hand pickers

[tex]n_m = 22000[/tex] -- pounds of harvester

[tex]r_h = 95\%[/tex] -- pack out rate of hand pickers

[tex]r_m = 90\%[/tex] -- pack out rate of harvester

The expression to estimate the amount is calculated as:

[tex]Amount = r_h \times n_h + r_m \times n_m[/tex] --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate

So, we have:

[tex]Amount = 95\% \times 200h + 90\% \times 22000m[/tex]

Express as decimal

[tex]Amount = 0.95 \times 200h + 0.90 \times 22000m[/tex]

Rewrite as:

[tex]Amount = 0.95(200h) + 0.90(22000m)[/tex]

Hence, option (b) is correct.

Read more about algebraic expression at:

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Answer:

Step-by-step explanation:

To do this we need to first multiply by the number of feet in a mile to get:

311520 feet per hour

Then we divide by 3600 to get this into feet per second:

86.53333... feet per second

Now rounding this we get 87 feet per second.

Answer:

[tex]x = \frac{-7y}{3} +9[/tex]

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other side. Do the opposite of PEMDAS. Isolate the variable, x.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 7y from both sides:

3x + 7y (-7y) = 27 (-7y)

3x = -7y + 27

Next, divide 3 from all terms on both sides:

(3x)/3 =  (-7y + 27)/3

x = (-7y/3) + 9

[tex]x = \frac{-7y}{3} +9[/tex]

Answer:

1

Step-by-step explanation:

Simplify the following:

2/2

Hint: | Divide 2 by 2.

2/2 = (2×1)/2 = 1:

Answer: 1

Answer:

8.

Step-by-step explanation:

d/dx(8x)

= 8 * d/dx(x)

= 8 * 1

= 8.

Answer:

Step-by-step explanation:

The total change in elevation of the skier is its acceleration. Acceleration is the change in velocity of a body with respect to time.

Acceleration = Velocity/Time

Given velocity of the skier = 14feet/sec

Time taken = 8secs

Acceleration of the skier = 14/8

Acceleration of the skier = 1.75ft/s²

Hence the total change in elevation after 8 seconds is 1.75ft/s²

Answer: D is the answer

Step-by-step explanation: Because a irrational number is a number that is non-reapting and non-terminating and it cannot be written as a ratio  or a fraction

Hope this helps...

-2 is the slope if that's what's asked ?

Answer:

Real numbers consist of zero (0), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between (0.4, 3.1415927, 1/2). Real numbers are divided into rational and irrational numbers.

Step-by-step explanation:

Greetings from Brasil...

Looking at the attachment we can use some properties:

(A/B) ÷ (C/D) = (A/B) · (D/C)

(M/N) · (P/Q) = (M/Q) · (P/N)

One solution:

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

another polynomial division

https://brainly.com.br/tarefa/30341397

let the absolute weight of the box of cereal be X

20-0.75 ≤ x ≤ 20+0.75

19.25 ≤ x ≤ 20.75

Answer:

Step-by-step explanation:

The question with some background info added:

Let the length of the room be L feet measured by the carpenter

Then

Complete question:

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?

Answer:

18

Step-by-step explanation:

Give the following :

Number of jolly ranchers = 24

Number of Hershey kisses = 18

Number of smarties = 12

Number of Starburst = s

Probability of pulling out a smarties ; P(smarties) = 1/6

Probability = required outcomes / total possible outcomes

Required outcome = 12

Total possible outcomes = (24 + 18 + 12 + s) = 54 + s

P(smarties) = 12 / (54 + s)

1/6 = 12 / 54 + s

1 × (54 + s) = 12 × 6

54 + s = 72

s = 72 - 54

s = 18

Hence number of smarties = 18

Answer:

  2 1/3 cubic inches

Step-by-step explanation:

Perhaps you want to know the volume of the prism in cubic inches.

Find the total volume of the smaller cubes:

  63(1/3 in)^3 = 63/27 in^3 = 7/3 in^3 = 2 1/3 in^3

Answer:

1. A particular order in which related events, movements, or things follow each other.

2. A term

3. Patterns offer visual clues to an underlying order. Patterns can also be used as a template that will enable one to quickly analyze a situation and understand how it works.

4. Sequence of numbers such that the difference between the consecutive terms is constant.

Answer:

Hey there!

9x-2+2x-8

11x-2-8

11x-10

Let me know if this helps :)

Answer:

11x - 10

Step-by-step explanation:

because there is a plus sign between the brackets, we just assume there are no brackets at all........so it will be:

9x - 2 + 2x - 8,,,,,,,,,bring the like terms together

9x + 2x - 2 - 8 = 11x -10.

the answer has a minus sign because when working out two negative numbers, we add them but still maintain the negative sign.

NOTE: If the sign between the brackets was a minus , the sign in the second expression would have changed from -8 to +8

Answer:

17) sometimes

18) sometimes

19) sometimes

20) sometimes

21)what is it asking

Step-by-step explanation:

17) in terms of the square that's correct but in terms of a rectangle it's not

18) the the angles could be 30, 60, 92, 178.. the four angles have to add up to 360 but they could be 150 for example 30, 30, 150, 150,

19) in in terms of a rectangle, kite etc it's correct. but for a kite or a trapezoid it's not

20) in in terms of a kite yes but in terms of a square no.

21)??

Answer:

b and d

Step-by-step explanation:

translation is just a fancy word for moved around so pick all of the letters that are the same shape and the same degree of rotation but in a different spot which is b and d

Steps to solve:

3x - 8 = -2; x - 6

~Substitute

3(x - 6) = -2

~Distribute left side

3x - 18 = -2

~Add 18 to both sides

3x = 16

~Divide 3 to both sides

x = 16/3

Best of Luck!

Answer: 90

Step-by-step explanation:

We first need to find three consecutive numbers that adds up to 267. We know that the numbers will be somewhat close to 100 because the sum needs to be past 250.

Let's try 85,86,87.

85+86+87=258

258 is very close to 267. We know that we need to increase our numbers.

Let's try 88,89,90.

88+89+90=267

88,89, and 90 added together gives us 267. The question asks for the largest integer. In 88, 89, 90, 90 is the largest integer.