Why do you think it is important to follow the order of operations? What will happen if you ignore it?

Answer:

1 2 4 8 16 32 64

Step-by-step explanation:

prime factors of 64 is 2 so

2____64

2____32

2____16

2_____8

2_____4

2_____2

1

Answer:

factors of 64= 1,2,4,8,16,32 and 64

Step-by-step explanation:

when you speak of HCF.

it should be when comparing 2 or more factors

From the image we can see that; Lines r and s and lines t and u must be parallel.

The term parallel lines refers to those lines that can not meet. We know parallel lines by the arrows that show us where they are pointing to.

Thus, from the image we can see that; Lines r and s and lines t and u must be parallel.

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The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

whaaaaaattttt                        

Step-by-step explanation:

.................................... i think c or f

Answer:

x = 11-1 = 10

Step-by-step explanation:

pls mark as brainliest

Answer:

D. 19.25^2

Step-by-step explanation:

A = 5.5

H = 3.5

A = 19.25^2

The expression which is equivalent to - 13 (12 + 3) is - 195.

We are given the expression:

- 13 (12 + 3)

We need to solve the expression to find the value of it.

We will first solve the brackets:

So, adding 12 and 3, we get that:

= - 13 ( 15 )

Now, we will multiply 13 and 15 and also note that it will have a minus sign as - × + = -

So, we get that:

= - 195

Therefore, the expression which is equivalent to - 13 (12 + 3) is - 195.

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The correct statement regarding the exponential function in this problem is given as follows:

B. This table represents exponential growth because as the number gets bigger, so does the total number overall.

The situation is modeled with an increasing exponential function, which has the format presented as follows:

y = ab^x.

In which:

The rate of change for this problem is given as follows:

b = 5.

As the absolute value of the rate of change is greater than 1, the exponential function is a growth function.

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Answer:

The equation would be -5=4(6)+ b

Step-by-step explanation:

Answer:

y = mix + b where m is the slope, and b is the y- intercept. solution

The United States' decision to remain neutral was motivated by its over $1 billion in annual trade with Europe.

Early 20th-century American trade with Europe helped the US remain neutral by enabling it to maintain business ties with both the Allied and Central Powers.

The US was able to avoid taking a political stance and maintain its neutral status by supplying goods to both sides of the conflict. Additionally, trade helped the US maintain its economic stability because it would have been detrimental to the nation's economy to break off trade with one party.

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

581,58 in^3

Step-by-step explanation:

Given:

Cylinder shaped cups

d (diameter) = 4,2 in

r (radius) = 0,5 × 4,2 = 2,1 in

h (height) = 7 in

π = 3.14

.

First, let's find how much juice can he pour into 1 cup:

.

We need to find the base of the cylinder:

.

\(a(base) = \pi {r}^{2} = 3.14 \times( {2.1})^{2} = 13.8474\)

.

Now, we can find the volume of one cup:

V = a (base) × h

\(v = 13.8474 \times 7 ≈96.93\)

Multiply this number by 6 and we'll get the answer (since there's 6 cups):

96,93 × 6 = 581,58

Answer:

1st one is b.  2nd one is A

Step-by-step explanation:

i did the quiz

Answer:

The Value of Y is -8

Step-by-step explanation:

I believe it is -8 because giving the function, y = 8 - 2x, given that x = 8, we can replace the value into a function. y = 8 - 2(8) = 8 - 16 = -8.

So therefore, the value of y is -8. Hopes this helps :p

Answer:

a) r(t) = (10, 5, -5) + (5, 5, 0)*t

b) (0, -5, -5)

Step-by-step explanation:

a) 2x + 4 -2y -5 = -3z -6

2x - 2y +3z +5 =0

(10, 5, -5)

(15, 10, -5)

(5, 5, 0)

r = (10, 5, -5) + (5, 5, 0)*t

b) The yz plane is given by the equation x = 0.

x = 0  in the vector equation of a straight line if and only if  t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.

Answer:

[See Below]

Step-by-step explanation:

✦ Divide:

  ✧ 87 / 0.45 = 193.3333 (Repeating)

✦ Round:

  ✧ 193 or 193.3

So it's C.

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

the answer is 2600π or in other words 8168.1

Answer:

The answer is 360 pi

Step-by-step explanation:

I don't really have an explanation, I just took the test

\(\underline{ \textbf{Hello !}}\)

\(\sf{average = \frac{5+15+30+25+40}{5} =\frac{115}{5} = 23}\\\\{\boxed{\textbf{The~ average~ is~equal~to~23}}\)

Answer:

1st one

Step-by-step explanation:

\( \frac{1x}{8} + \frac{1x}{8} \\ \frac{2 x}{8} = \frac{1x}{4} \)

Here's the solution :

here,

now, let's find the 8th term :

Answer:

Use graph paper to create a scatter plot. Draw the x- and y- axes, ensure they intersect and label the origin. Ensure that the x- and y- axes also have correct titles. Next, plot each data point within the graph. Any trends between the plotted data sets should now be evident.

g = number of goblins

w = number of wizards

There are 220 club members altogether, so

g + w = 220

There are 20% more goblins than wizards, so

g = 1.2 w

Substitute this into the first equation and solve for w, then for g.

1.2 w + w = 2.2 w = 220  ==>  w = 100

g = 1.2 w  ==>  g = 120

The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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Answer:

To calculate the book value of the building, we need to calculate the annual depreciation amount and multiply it by the number of years elapsed since the building was completed.

The annual depreciation amount is calculated as: $1 million / 50 years = $20,000

In 2014, the book value of the building was: $1 million - ($20,000 * (2014 - 2010)) = $1 million - ($20,000 * 4) = $960,000

In 2022, the book value of the building will be: $1 million - ($20,000 * (2022 - 2010)) = $1 million - ($20,000 * 12) = $680,000

Answer:

500

Step-by-step explanation:

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

<95141404393>

AnAn expression that evaluates to true if the value of the integer is divisible (with no remainder) by the integer variable is (numberOfParticipants/numberOfPrizes%numberOfParticipants=0).

-Above expression includes % sign, which means mod.

-Mod of a  values with another thethemththethemththtbythetthe 1st value divide by 2nd and return the remainder.

-As numberOfParticipants can be zero (given), the answer must be a proper number.

-If numberOfPrizes is completely divisible by numberOfParticipants then it will return 0 as shown in above expression. True case.

If a digit other than 0 is a result then it will be false.

So following the above situation expression would be (numberOfParticipants numberOfPrizes%numberOfParticipants=0).

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