Why is it important to know where formulas come from?

to be able to derive the formula if needed
to be certain of calculations
to develop number sense
to memorize math symbols

Answers

Answer 1

Answer:

to be able to derive the formula if needed

Step-by-step explanation:

as you gain more class grades they sometimes ask you the origin of a certain formula that's why


Related Questions

Solve the equation. Then check your solution.
1. 1/4 = a +3/8

Answers

Subtract from both sides by 3/8, and u got -1/8. If u want to check put -1/8 in a
-1/8+3/8=1/4

4. Volunteers are moving a pile of mulch at a park. The pile has 324 cubic feet of mulch. They move it using
wheelbarrows that hold 2.8 cubic feet each. The volunteers can move 11 wheelbarrows per hour. How many
cubic feet are left in the pile after the volunteers have moved mulch for 6 hours?
(1) 89.4
(3) 184.8
(2) 139.2
(4) 206.2

Answers

the answer is 184.8 because
2.8 x 11 = 30.8 x 6 = 184.8

ok so if someone needs 2 1/4 cups of water for 1 cup of rice then if they use 1/3 cup of rice how much water would they need

Answers

You would need 3/4 cups of water.

Find the value of. -
[(-4) + (-8)] = [(-4)=2x2
(a) 3
(b)-3
(C) 4
(d) - 4​

Answers

Answer:

d

Step-by-step explanation:

Select the expression that shows the value of three hundred and eighty two thousandths

Answers

Answer:

Step-by-step explanation:

To write the value of three hundred and eighty two thousandths in words, we can follow the steps below:

Split the expression based on the place values

The statement is expressed as:

[tex]\frac{382}{1000}[/tex] = 0.382

three hundred thousandth = 0.300 (thousandth)

eighty thousandth= 0.080

two thousandth = 0.002

Add the values gotten

= 0.300 + 0.080 + 0.002

= (3*10⁻¹) + (8*10⁻²) + (2*10⁻³)

= 0.382

PLEASE help. Will give brainliest.

Answers

Answer:

y=5

x=10 and

z=2

Step-by-step explanation:

since they are equivalance then,

for

triangle ABC and triangle DFE

AB=DF,BC=FE and AC= DE

So, AB=DF

8y-20= 4y

or, y=5

Then, BC= FE

2x+5=x+15

or, x=10

and

AC=DE

3z+9=10z-5

or, z= 2

hope u got ut.

The triangles are parallel thus their sides are equal to each other peer to peer.

So ;

[tex]x + 15 = 2x + 5[/tex]

Subtract sides -5

[tex]x + 15 - 5 = 2x + 5 - 5[/tex]

[tex]x + 10 = 2x[/tex]

Subtract sides -x

[tex]x - x + 10 = 2x - x[/tex]

[tex]x = 10[/tex]

_________________________________

[tex]4y = 8y - 20[/tex]

Subtract sides -8y

[tex]4y - 8y = 8y - 8y - 20[/tex]

[tex] - 4y = - 20[/tex]

Negatives simplifies

[tex]4y = 20[/tex]

Divided sides by 4

[tex] \frac{4}{4}y = \frac{20}{4} \\ [/tex]

[tex]y = 5[/tex]

_________________________________

[tex]10z - 5 = 3z + 9[/tex]

Plus sides 5

[tex]10z - 5 + 5 = 3z + 9 + 5[/tex]

[tex]10z = 3z + 14[/tex]

Subtract sides -3z

[tex]10z - 3z = 3z - 3z + 14[/tex]

[tex]7z = 14[/tex]

Divided sides by 7

[tex] \frac{7}{7}z = \frac{14}{7} \\ [/tex]

[tex]z = 2[/tex]

_________________________________

And we're done....♥️♥️♥️♥️♥️

1. Find y, A. and B.

Answers

3A=120 degrees (bcoz they are alternate exterior angles)

A= 40 degrees

5B= 120 degrees( bcoz they're alternate exterior angles)

B= 24 degrees

to find value of y I equalized

8+15=29/3 + y

y= 23-29/3

y=17/3

Triangle ABC is shown on the coordinate plane below . The triangle is reflected across the y - axis and then translated 3 units to the right to form triangle A'B'C ' .
PLEASEEE HURRRY

Answers

Answer:is D

Step-by-step explanation:

Answer: B

Coordinates: A’ (-3,2). B’ (-3,-3). C’(0,-2)

show your work
16 = k/11

Answers

16 = k/11

You’re going to need to get K by itself

So you need to multiply 11 on both sides

to remove the denominator of 11



16 x 11 = 176

k/11 x 11 = k

So now the answer would be

176 = k


Hope this helped :)

Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock
30%. What was the list price of the clock?
holour

Answers

Answer:

942.50

Step-by-step explanation:

725×30% or 0.3 = 217.5

217.5+725=942.5

A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process. h)What is the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X)

Answers

The probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

Here,

Since the length of the pipes follows a uniform distribution on the interval [10 feet, 10.57 feet], the probability density function (PDF) for each pipe is:

f(x) = 1 / (10.57 - 10) = 1 / 0.57 ≈ 1.7544 for 10 ≤ x ≤ 10.57

Since the lengths of the pipes are independent, the joint probability density function (PDF) of X and Y is the product of their individual PDFs:

f(x, y) = f(x) * f(y) = 1.7544 * 1.7544 = 3.0805 for 10 ≤ x ≤ 10.57 and 10 ≤ y ≤ 10.57

Now, we want to find the probability that the second pipe (Y) is more than 0.11 feet longer than the first pipe (X).

Mathematically, we want to find P(Y > X + 0.11).

Let's set up the integral to calculate this probability:

P(Y > X + 0.11) = ∬[10 ≤ x ≤ 10.57] [y > x + 0.11] f(x, y) dx dy

We integrate with respect to x first and then with respect to y:

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] ∫[10 ≤ x ≤ y - 0.11] f(x, y) dx dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [∫[10 ≤ x ≤ y - 0.11] 3.0805 dx] dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (x)] from x = 10 to x = y - 0.11 dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (y - (10 - 0.11))] dy

P(Y > X + 0.11) = 3.0805 * ∫[10 ≤ y ≤ 10.57] (y - 9.89) dy

P(Y > X + 0.11) = 3.0805 * [(y² / 2) - 9.89y] from y = 10 to y = 10.57

P(Y > X + 0.11) = 3.0805 * [((10.57)² / 2) - 9.89 * 10.57 - (((10)² / 2) - 9.89 * 10)]

P(Y > X + 0.11) = 3.0805 * [((111.7249 / 2) - 104.9135 - (50 / 2 - 98.9)]

P(Y > X + 0.11) = 3.0805 * [(55.86245 - 104.9135 + 49.9)]

P(Y > X + 0.11) = 3.0805 * [0.84895]

P(Y > X + 0.11) ≈ 2.6092

Therefore, the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

To learn more on probability click:

brainly.com/question/11234923

#SPJ4

what is the Quotient: 3/4divided1/4

Answers

Answer:

3

Step-by-step explanation:

Please help with this question I really need help

Answers

Answer/Step-by-step explanation:

Part A: In the table given above, every input value has exactly one output value. No input value gives two different output value. Therefore, the data in the table represents a function.

Part B: in the table given, when x = 4, y = 9. That is, f(4) = 9.

Given the relation f(x) = 2x - 8, to find what value it would give us, when x = 4, substitute x = 4 into the relation.

f(4) = 2(4) - 8 = 8 - 8

f(4) = 0

Therefore, the relation in the table has a greater value when x = 4.

Part C: using, f(x) = 2x - 8, when f(x) = 34, value of x would be calculated as shown below:

34 = 2x - 8

Add 8 to both sides

34 + 8 = 2x

42 = 2x

Divide both sides by 2

42/2 = x

21 = x

x = 21

An engine pulls four identical carriages. The engine is the length of 2/3
a carriage and the total length of the train is 86.8 m. Find the length
of the engine.​

Answers

Answer:

12.4m

Step-by-step explanation:

In order to solve this equation, we can use the length of a carriage as our unknown value (using the engine is a bit more difficult). The questions says that the whole train: 4 carriages and an engine = 86.8m

If we represent carriage length as 'x', we can write the following equation:

4x (length of 4 carriages) + (2/3)x (length of engine as it is 2/3 of a carriage) = 86.8m

4x+(2/3)x = 86.8

From here we can combine into one fraction:

[tex]4x+\frac{2}{3} x=\frac{14}{3}x[/tex]

So now our equation looks like this:

[tex]\frac{14x}{3}=86.8[/tex]

Now all we need to do is multiply both sides by 3 and then divide both sides by 14 to isolate and solve x:

[tex]\frac{14x}{3}*3=86.8*3\\ 14x=260.4\\\frac{14x}{14}=260.4/14\\ x=18.6\\[/tex]

Now that we know the carriage length, we can use it to find the engine length:

Engine length = 2/3 Carriage length

[tex]E=\frac{2}{3}x\\ E=\frac{2}{3} (18.6)\\E = 12.4m[/tex]

Hope this helped!

Length of a carriage = x

Length of four carriages = 86.8 m

Length of each carriage =

[tex]86.8 \div 4 \: m \\ = \: 21.7 \: m[/tex]

Length of one carriage = 21.7 m

Length of the engine =

[tex] = \frac{2}{3} x[/tex]

[tex] = \frac{2}{3} \times 21.7[/tex]

[tex] = 43.4 \: m[/tex]

[tex]43.4 \div 3 \: m \\ = 14.4666666667 \: m[/tex]

∴ The length of the engine is 14.4666666667 m .

Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?

1, –0.25, –1.5, –2.75, –4, . . .
1, 2.25, 3.5, 4.75, 6, . . .
4, 2.75, 1.5, 0.25, –1, . . .
4, 5.25, 6.5, 7.75, 8, . . .

Answers

Answer:

4, 2.75, 1.5, 0.25, –1, . . .

Step-by-step explanation:

edge2020

can someone help me please with 582 x 23 ≈ __________ x __________ = 12,000

Answers

Answer:

Step-by-step explanation:

582×23≈600×20=12,000

The following equation represents the total price of hot dogs, p=3.25h. How much will you pay for 4 hot dogs? WRITE ONLY THE NUMBER FOR YOUR ANSWER.

Answers

Answer:

13

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

Which number is equal to 10^3

Answers

Answer: is 0.001

10^-3 = (1)/(10^3) move the negative exponent to the denominator (1)/(1000) simplify 10^3 in the denominator (1)/(1000) = 0.001

Step-by-step explanation:

Hope you have a great night

Answer: 0.001

Step-by-step explanation:

A baker makes 51 loaves of bread in 8 1/2 hours. What is the unit rate for the number of loaves in one hour. I need a answer pleaseee

Answers

Answer:

6

Step-by-step explanation:

51 divided by 8.5

cual es el valor de 7 3/4 + 1 7/8 fraccionado

Answers

la respuesta de tu pregunta es: 15 5/8

What is the difference between –12 and –5?

Answers

Answer:

-7

Step-by-step explanation:

(-12)-(-5)

negative and negative make a positive

-12+5

= -7

Answer:

-7

Step-by-step explanation:

Find the square root of each number.
40=

Answers

Answer:

6.32455532034

is the square root of 40

The square root of 40 is 6.32456

Consider the set of whole numbers from 3 to 30, inclusive.


List the numbers that meet the condition: less than six or prime


List the numbers, separated by commas.

Answers

2,4,6,8,10,12,14,16,18,20,22,24,26,28,30

The numbers less than 6 or prime are [tex]4,5,6,7,11,13,17,19,23,29[/tex]

Whole and prime numbers:

Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative

A prime number is a number that has only two factors, that is, 1 and the number itself.

The prime numbers between  3 to 30 are,

               [tex]7,11,13,17,19,23,29[/tex]

We have to find the numbers that are less than 6 or prime.

Numbers are, [tex]4,5,6,7,11,13,17,19,23,29[/tex]

Learn more about prime numbers here:

https://brainly.com/question/145452

The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width . Find the dimensions.

Answers

Answer:

width: 33 ft

length: 74 ft

Step-by-step explanation:

The perimeter of a rectangle is calculated by adding all of the sides together which includes two lengths and two widths. Since the formula for the length is given (l = 41ft + w) and the perimeter is given, then we can simply use the perimeter formula and substitute the value of length with its formula which would only leave us with one variable in the equation w. Now we must solve for w.

l + l + w + w = 214

(41 + w) + (41 +w) + w + w = 214  ... combine like terms

82 + 4w = 214  ... subtract 82 from both sides

4w = 132 ... divide both sides by 4

w = 33 ft

Finally, we can see that the value of the width is 33 ft . Now we plug this value into the formula for length to calculate its value.

l = 41 + w

l = 41 + 33

l = 74 ft

Lisa Has 17 cookie she subtracts 19 and adds 156 then she divides by 4.

Answers

Answer:

38.5

Step-by-step explanation:

17-19= -2

-2+156=154

154 divided by 4= 38.5

it should be 17 - 19 + 154 then divided by 4

so 38.5 cookies

what is point B on the number line?!?

Answers

It’s= -0.6
(Hopefully it helped)

Answer:

-0.4

hope this helps :)

3 divided by 5/6=___

Answers

Answer:

2.5

Step-by-step explanation:

if a distibution has a mean of 50 and a standard devation of 25, how many standard deviation is 0 from the mean

Answers

Answer:

2

Step-by-step explanation:

Here, we have a mean of 50 and a standard deviation of 25, we now need to find out in terms of standard deviation how 0 is far from 50.

Firstly, we subtract 0 from 50

That gives 50. Now, we need to divide this difference by the standard deviation

That will be 50/25 and that makes it 2

So 0 is two deviations away from 50

What is the value of (4 minus 2) cubed minus 3 times 4?

Negative 20
Negative 4
4
20

Answers

Answer:

yes the last person is correct

Step-by-step explanation:

Natalie can do 26 push ups in 2 minutes how many can she do in 7 minutes? set up porportion

Answers

Answer:

 In seven minutes she can do 91 push ups

Step-by-step explanation:

26*3=78

78+13=91

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