Simplify the expression (x^2z^3)(5yz)^2

We will review each option and see that it corresponds:

-Volume is labeled with cubic units.

True, the units of volume are cubic, since it is distance to the cube.

-Surface area is labeled with cubic units.

False, the units of the area are square, since it is distance squared

-Volume of a prism is the product of the area of the base and height.

True, depending on the base, the volume of the prism is determined, therefore it would be the area of the base by the height.

-Surface area is the sum of the areas of each side.

True, the surface area corresponds to the sum of the lateral areas and the area of the base, that is, the area of each side.

-The volume of a prism is One-third the volume of a pyramid.

False, on the contrary, the volume of a pyramid is one third of the volume of a prism

Answer:

A

C

D

Step-by-step explanation:

Hope you guys have a good day!

One of these pics are proof and the other is to just make you smile :)

Answer:

The number of batches of paving stones Eric needs is 5 batches

Step-by-step explanation:

Here we have the size of of one paving stone = 1 ft²

The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²

Therefore, the number of paving stones Eric needs per patio is given by the relation;

[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]

Since the paving stones are sold in batches of one dozen, we have ;

4 batches = 48 paving stones and 5 batches = 60 paving stones

Therefore, the number of batches of paving stones Eric needs = 5 batches.

Answer:

5,310

Step-by-step explanation:

6% of 4,500 is 270

270×3 is 810

810+4,500=5,310

Answer:

$2.99 is the better buy

Step-by-step explanation:

First, find the unit price for each bag of pretzels. This can be found by the formula: (cost/amount). in this case it is (cost/ ounce)

This means:

0.99 bag for 4 ounces means about 25 cents per oz

2.99 bag for 15 oz means about 20 cents per oz

The lower the unit price, the better the buy.

Each ounce is cheaper with the 2.99 bag, therefore it is the better choice.

S=-15

Hope I helped :D

Answer:

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question, we have that:

[tex]P(A) = 0.4, P(B) = 0.2, P(A \cap B) = 0.1[/tex]

However

[tex]P(A)P(B) = 0.4*0.02 = 0.08[/tex]

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Answer:

C

Step-by-step explanation:

edg 2020

Answer:

52

Step-by-step explanation:

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52

Answer:

52

Step-by-step explanation:

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

Learn more on volume of cylinder here: brainly.com/question/16788902

Answer:

0.52 cubic inches

Step-by-step explanation:

Given: circumference of a basketball is 31.4 inches.

[tex]\pi =3.14[/tex]

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch

Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]

Amount of food in feeder at end is (16 - a) fl oz

Given that;

Amount of food in feeder in starting = 16 fl oz

Find:

Amount of food in feeder at end

Computation:

Assume;

a fl oz eats by animals

So,

Amount of food in feeder at end = 16 - a

Amount of food in feeder at end = (16 - a) fl oz

Learn more:

https://brainly.com/question/2567987?referrer=searchResults

Answer:

2 1/3 ft^2

Step-by-step explanation:

Take the area of the rectangle

A = l *w

   4 * 1 1/6

   4 * 7/6

  28/6

Divide this in half since the rectangle is cut in half by using the diagonal

28/6 *1/2

28/12

7/3

Changing to a mixed number

2 1/3

Answer:

The answer is C.

Step-by-step explanation:

To start off 250g is $1.85 and we want to get to 500g so if we add $1.85 with $1.85 we will get $3.70.  This amount is more than the number if we bought just 500g once than if we bought 250g twice, because if we did, we would be paying more.  But that's not all, if we add 500g with 500g we will get $6.20.  That's more than the original price for 1 kg and if we multiply 250g 4 times than we get 7.4.  So in all we would buy 1 kg.

Answer:

slope = -4

y-intercept = -10

Step-by-step explanation:

First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:

4x + y = -10

4x (-4x) + y = -10 (-4x)

y = -4x - 10

Note the slope intercept form: y = mx + b

y = y

m = slope = -4

x = x

b = y-intercept = -10

Answer:

slope m=-4

y intercepts (0,-10)

Step-by-step explanation:

Answer: B

Step-by-step explanation:

This question is incomplete because it lacks the diagram of the line plot. Find attached to the answer, the diagram of the scatter plot.

Answer:

35/8 inches or 4 3/8 inches.

Step-by-step explanation:

Reading the line plot, the number of objects is plotted vertically while the length of the object is arranged horizontally on the line plot.

The total length is calculated as: summation of the (Number of objects × Length of the objects)

= [(1/8 ×0) + (1/4×0) + (3/8 × 2) + (1/2 ×3) + (5/8 × 1) + (3/4 × 2) +(7/8 × 0)] inches

=[ 0 + 0 + 3/4 + 3/2 + 5/8 + 3/2 + 0] inches

= 35/8 inches or 4 3/8 inches.

Therefore, the total length of the objects if they are connect end to end is 35/8 inches or 4 3/8 inches.

Answer:

There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.

Answer:

The answer is -4

Step-by-step explanation:

that would be because that is the answer

the correct answer is B.)  -4      

Answer: If you take out the price of the golf clinic with a local pro, you could buy 6 buckets.

Step-by-step explanation:

Answer:

c=13

Step-by-step explanation:

You then square root both sides of the equation and the square root of 169 is 13.

Hope this helps! :)

Answer:

c is 13

Step-by-step explanation:

trust me bro

Answer:

160

Step-by-step explanation:

add the numbers together then divide by 8

Song= sngo, sogn, gnso, gosn, gnos, snog, 6 ways ?

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Explanation:

We have four blank slots to fill. Call them slot A,B,C,D. There are 4 letters to pick from when filling slot A. After that selection is made, there are 3 letters left for slot B. This process keeps going til you count down to 1.

Multiplying those values out gives 4*3*2*1 = 24

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Extra info:

This concept is given factorial notation of an exclamation mark, so you'd write 4! = 4*3*2*1 = 24 or simply 4! = 24.

Another example of factorial notation is 7! = 7*6*5*4*3*2*1. We start with 7 and count our way down til we get to 1, multiplying all along the way.

You could also use the nPr permutation formula [tex]_nP_r = \frac{n!}{(n-r)!}[/tex] though that isn't necessary in my opinion since it involves factorials which we already used above. If you use the permutation formula, then you would have n = 4 and r = 4. The n refers to the number of items you are arranging and r = 4 is the number of slots you are filling.

It turns out that [tex]_nP_r = \frac{n!}{(n-r)!} = n![/tex] when r = n.

You can think of it in a smaller chunk. If we fix S to be the first letter, then we have O,N,G to rearrange. There are 6 ways to do this as shown

Basically showing that 3! = 6. We have 4 different ways to have the first letter be selected, so we have 4*6 = 24 permutations of SONG.

Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)

Answer:

2.24

Step-by-step explanation:

If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24

I'm going to assume you mean √5.

√5 is not a perfect square but it can evaluated into a non-terminating decimal.

√5 = 2.23606797...

Round to the nearest hundredth.

2.23606797... → 2.24

Therefore, the answer is 2.24

Best of Luck!

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

Answer: Of the 800 customers, 520 would be satisfied with the cleanliness of the store

Step-by-step explanation:

Here is the complete question:

A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?

A. 65% of the customers are unsatisfied with the cleanliness of the store.

B. Of the 800 customers, 520 would be satisfied with the cleanliness of the store

C. 40% of the customers are satisfied with the cleanliness of the store

We are informed that out of 40 customers that are surveyed, 26 are satisfied with the cleanliness of the store. This means that (26/40) = 13/20 = 65% are satisfied with the store.

If 800 customers are surveyed, this will mean that: 65% of 800.

= 65/100 × 800

= 65 × 8

= 520 will be satisfied.

Answer:

$93,996

Step-by-step explanation:

i = prt

i = ($53,712)(.15)(5)

i = $40, 284

$40, 284 + $53,712

$93,996

Answer:

$92996

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 53712 × 15/100 × 5

I = $40284

He has = 40284 + 53712 = $93996

Answer:

Sin A = 4/5

Step-by-step explanation:

sin theta = opposite / hypotenuse

sin A = 40/50

Sin A = 4/5

Answer:

0.8

Step-by-step explanation:

SinA = opposite/hypotenuse

= CB/CA

= 40/50

= 4/5

= 0.8

Answer:

a) 22, b) i. 5/11, ii. 5/11, iii. 7/11

Step-by-step explanation:

a) 3+6+3+5+4+1 = 22 total number  of students

b)

i. Number of girl/total number of students= 10/22 = 5/11

ii. blond hair/total number of students = 10/22 = 5/11

iii.

Number of girl/total number of students= 10/22 = 5/11

red hair/total number of students = 4/22 = 2/11

P(a girl or red hair) = 5/11 + 2/11 = 7/11

Answer:

B. 126

Step-by-step explanation:

85*2=170

170+64+x=360

234+x=360

x=126