UNDERSTAND VOLUME
When water is poured from the graduated cylinder below into a rectangular
prism, the rectangular prism is completely filled.

How many 1-cm unit cubes can be packed into the rectangular prism with no gaps
or overlaps?
Answer____ 1-cm unit cubes
Explain your answer.

The LCD of the given terms of expression will be x² - 4 since others can divide it.

The least common denominator is the smallest number or expression of all the common multiples of the denominators when 2 or more fractions or expressions are given.

Given the terms of the expressions

(x+2)(x-2) and (x^2 - 4)

Expand (x^2 - 4) using the difference of two square:

x² - 4 = x² - 2²

x² - 4 = (x+2)(x-2)

Based on the expansion, we can conclude that the LCD of the given terms of expression will be x² - 4

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Answer:

x = 110 & y = 28

Step-by-step explanation:

The top and bottom lines are both intersected by a transversal. Because of this, we can say the 100-degree angle is equivalent to the (x-10) angle due to the Corresponding Angles Theorem.

If 100 = x -10 then you add 10 to both sides to get x = 110 degrees.

Then, using the Same Side Exterior Angles Postulate, you can conclude that the 100-angle and the (2y + 24) angle are supplementary, meaning they add up to 180 degrees.

So, 100 + (2y + 24) = 180.

Subtract 100 from both sides to get 2y + 24 = 80

Then subtract 24 from both sides to get 2y = 56

And divide both sides by 2 to get y = 28 degrees.

Answer:

26÷2=13 so if the longer one is 2 cm longer so 13+1 =14. the shorter one is going to be 13-1=12 so 12+14 =26 and the shorter one is 2 cm smaller then the longer one

Answer:

7

Step-by-step explanation:

The value of k will translate the graph up k units if k is positive and down k units if k is negative.  To transform f into g line f would translate up 7 units.

Answer:

Final answer -

[tex]number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}[/tex]

hope helpful :D

The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins

Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;

Let number of 2 rupees coins in the bag = 1x

Let number of 1 rupees coins in the bag = 2x

Let number of 50 paise coins in the bag = 4x

Total amount of money = 72 rupees. Thus;

(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72

2x + 2x + 2x = 72

6x = 72

x = 72/6

x = 12

Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins

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Answer:

Step-by-step explanation:

Missing drawing but assumed that:

Since G is the midpoint of HJ, we have:

So

Answer:

24 units

Step-by-step explanation:

IJ = 14 and GH = 12

Gh=gj=12

Hj=2gh

2*12=24

Answer:

88.889% are right handed, 11.111% are left handed, ~320 people are right handed in a class of 360, ~40 people are right handed.

Step-by-step explanation:

The fraction 8/9 is equal to .88889, or 88.889%

Likewise, the fraction 1/9  (remainder) is equal to .11111, or 11.111%

By multiplying 360 by these fractions to get the number of people who fit these criteria in the sample, you get:

360*8/9 = 320 people right handed.

360*1/9 = 40 people left handed.

Cheers!

Step-by-step explanation:

| x - 19 + 11 | = | x - 8 |

look at the picture.

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

|(x - 19) + 11|

This can be written as,

= |x - 19 + 11|
= |x - 8|

Now,

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

Thus,

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

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[tex]-5x^2+3x = -3x^2 +3x -50\\\\\implies 5x^2-3x^2 +3x-3x -50 =0\\\\\implies 2x^2 -50 =0\\\\\implies x^2 -25 = 0\\\\\implies x^2 = 25\\\\\implies x = \pm5\\\\\text{Hence}~ x = 5~ \text{or}~ x = -5[/tex]

Answer:

X = 5, —5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

The answer is c on edge or f(x) = 1 sqt x + 6 -2

Step-by-step explanation:

From the given two options, none of them has a function that has the same maximum value as f(x) = -|x+3|-2.

A function is a correspondence between input numbers (x-values) and output numbers (y-values). It is used to describe an equation.

Given that:

Suppose that x = c is a critical point of (x) then,

If f'(x) > 0 to the left of x = c and f'(x) < 0 to the right of x = c;

If f'(x) < 0 to the left of x = c and f'(x) > 0 to the right of x = c;

If f'(x) is the same sign on both sides of x = c;

From the given equation, the critical points: x = -3

If we put the point x = -3 into - |x+3|-2

We can therefore conclude that none of them has a function that has the same maximum value as f(x) = -|x+3|-2.

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Answer: the answer is 40.5 cm

Step-by-step explanation:

first your gonna want to look at the numbers given and then solve.

The unit price of canned corn is $0.14

14 ounces = $1.96

1 ounce = 1.96 / 14

= 0.14

Step-by-step explanation:

Question 2(Multiple Choice Worth 1 points)

(08.02 MC)

The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).

f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground

f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground

f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground

f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground

Answer:

Step-by-step explanation:

4.5 ÷ 2

[tex]\frac{9}{2}[/tex]  ÷ 2

[tex]\frac{9}{2} * \frac{1}{2}[/tex]

9 / 4

Since [tex]A^2=A[/tex], we have

[tex](I + A)^2 = I^2 + IA + AI + A^2 = I + A + A + A = I + 3A[/tex]

[tex](I + A)^3 = (I + A) (I + 3A) = I^2 + 3IA + AI + 3A^2 = I + 3A + A +  3A = I + 7A[/tex]

Then the target expression is

[tex]7A - (I + A)^3 = 7A - (I + 7A) = \boxed{-I}[/tex]

Answer:

that is a Trapezoid

Step-by-step explanation:

it has two lines that are parallel and two lines that are not. crd. MathGeek99

Answer:

I believe it is a Quadrilateral

Step-by-step explanation:

It's a quadrilateral because of how many sides it has and other stuff

Answer:

314.16 m (if pi = 3.14) || 314π m (if (you may want to check the math yourself, just in case!)

Step-by-step explanation:

Step 1) Formula of a cone.

•volume = (1/3) * π * r² * h. [Or, if you prefer, volume = π * r² * h/3 ]

Step 2) Apply numbers.

•r = 1/2 * base diameter || r = 5 m

•height(h)= 12 m

Step 3) Apply formula.

V= (1/3) * π * 5² * 12

[Step 4 depends on how you learn, and this also dictates the answer, please read carefully.]

Step 4a) IF DEFINITE EXACT ANSWER (π = π), then V= 314.16

Step 4b) IF π = 3.14, then V= 314π

I was taught in a strange way where two different methods can be applied, so the answer depends on which one you've been taught!

(apologies if a mistake has been made)

Answer:

[tex](\frac{2}{3} , 0), (-4, 0)[/tex]

Step-by-step explanation:

Substitute 0 for y and solve to find the x-intercept.

Answer:

$149 - price of the skateboard

$52 - Carly's money

$20 × 5 cars = $100

$100 + $52 = $152

$152 - $ 149 = $3

money left is $3

Step-by-step explanation:

this is the answer for you

angle ksp+61=108(being straight angle)

or,angle ksp=180-61

angle ksp=119

Answer:

1, 7, 5, 9
7, 1, 9, 5

9, 5, 1, 7

But there are about 10 possible combinations.

Step-by-step explanation:

Answer:

a = 600

Step-by-step explanation:

Algebraically:

[tex]a*5 = 3000\\a = \frac{3000}{5}\\ a = 600[/tex]

Answer:

3 miles

Step-by-step explanation:

Range is the biggest number minus the smallest number.

First put the distance in order from least to greatest.

4 miles, 4 miles, 5 miles, 6 miles, 6 miles, 7 miles.

Now subtract the greatest and least amounts.

7 - 4 = 3

Answer:

12

Step-by-step explanation:

Since given that:

x = 6 and y = 4

we can substitute:

xy - 3y

(6)(4)-3(4)       {6*4 = 24}

24 - 3(4)         {3*4=12}

24 - 12 = 12

Hence, the answer = 12

~lenvy~

Answer: 12

Step-by-step explanation:

 Given:

 xy - 3y

 Plug-in the values we know:

(6)(4) - 3(4)

 Multiply 6 by 4 and 3 by 4:

24 - 12

 Subtract:

12

                    xy - 3y = 12

Answer:

16months

=$1532

Step-by-step explanation:

Daito

780+47x=220+82x

780-220=82x-47x

560=35x

x=16

=16 months

Answer:

Circumference of the circle=383.32cm

Step-by-step explanation:

r= 61cm π = 3.142

Formula for the circumference of a circle=2πr

Therefore;

Circumference=2×3.142×61 = 383.32cm.

Answer:

There is 43 20¢ in the coin bank.