A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindrical bale of hay has a diameter of 4 feet and a height of 6 feet. How many rectangular bales contain the same amount of hay as one cylindrical bale? Round your answer to the nearest tenth.

Answer:

(x-2)^2=36

Step-by-step explanation:

I got it correct on khan academy! but the layout is kind of confusing so when you put the answer in, the full thing will look like

(x+-2)^2=36

So all you have to type in is -2, and 36:)

The value of x=8,-4.

Write the equation in the form, such that c is on the right side.

Step 2: If a is not equal to 1, divide the complete equation by a such that the coefficient of x2 will be 1.

Step 3: Now add the square of half of the coefficient of term-x, (b/2a)2, on both sides.

Given equation:

x² - 4x - 32 = 0

Now, add and subtract (2)² we get

x² - 4x - 32 + 2² - 2² = 0

x² - 4x + 2²  - 32 - 2² = 0

(x-2)² -36=0

(x-2)²= 36

(x-2) = ±6

x= +6+2, -6+2

x=8,-4

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Answer:

this equation would have one solution

Step-by-step explanation:

Because it has 2 different numbers before the variables.

Answer:

this equation would have one solution

Step-by-step explanation:

Answer:

375 cm2

Step-by-step explanation:

The new area of the triangle will be 187.5 square centimeters.

To find the area of a triangle, you can use the formula A = ½ x base x height. Given that the area of the triangle is 15 square centimeters, we can set up the equation as 15 = ½ x base x height. We are told that all the dimensions of the triangle are multiplied by 5, so the new base and height will be 5 times the original dimensions. Substituting these values into the equation, we get 15 = ½ x (5 x base) x (5 x height). Simplifying the equation, we have 15 = 12.5 x base x height.

Therefore, the new area of the triangle is 12.5 times the original area, which is 15 x 12.5 = 187.5 square centimeters.

Answer:

7x-3x

Step-by-step explanation

You have to add the x to the 3 because it says that its 3 time that number (x)

Answer:

the answer is a, 7x-3x

Step-by-step explanation:

7x-3x means the difference between seven times a number and three times that number

hope you have a good day

Answer:

Transversals? Transversals are different from traversals.

Step-by-step explanation:

Transversals always go through parallel lines. Okay, here are the rules. All pairs of alternate interior angles, alternate exterior angles, and corresponding angles are congruent pairs if the lines the transversal intersects are parallel, in which case each pair of consecutive interior angles are supplementary. That’s four rules right there.

Here are four more. If any of those pairs is congruent or supplementary, the lines the transversal intersects are parallel.

Vertical angles are always congruent, and any two angles that form a linear pair are supplementary. When you know all these rules, you can take the measure of any angle in the diagram and determine the measures of all the other angles as long as the lines intersected by the transversal are parallel.

Answer:

14.8

Step-by-step explanation:

Using the pythgorean theorem, you know that [tex]x=\sqrt{7^2+13^2}=\sqrt{218}\approx 14.8[/tex]. Hope this helps!

Answer:

14.8

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 = 49

13^2 = 169

49 + 169 = 218

sqrt of 218 =

14.76

Answer:

a. 81.6 inches

b. 408 inches

c. 2480 inches

Step-by-step explanation:

circumference  = 2 π r = 2 x 3.14 x 13 = 81.6 inchess

in feet = 81.6 /12

6.8 feet

Answer:

A) 2*2*3*3*5

Step-by-step explanation:

180

90*2

45*2*2

9*5*2*2

3*3*5*2*2

So your best choice would be A

Answer:

i think it's 125? - 10. i'm sorry if its not correct

Answer:

115

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

The standard form of a quadratic function is

[tex]ax^2+bx+c=0[/tex]         ... (i)

The given equation is  

[tex]0=5x-4x^2-2[/tex]

It can be rewritten as

[tex]-4x^2+5x-2=0[/tex]        ... (ii)

On comparing (i) and (ii), we get

[tex]a=-4,b=5,c=-2[/tex]

Hence, the correct option is C.

Answer:

a=-4, b = 5, c = -2

Step-by-step explanation:

Answer:

c x vh g c b. hmm CNN v bad c j an cc j tab i wax b b 9g 3y txh8

Answer:

This is the graph. It is a normal square root function, but translated down 6 units.

Answer:

DVD player- 244

Television- 732

Step-by-step explanation:

976÷4

(4 because you take the 3x bigger than the 1, so add it)

That gives you 244

so then the DVD player is 244

and for the TV you multiple 244 x 3 which gives you 732 and that is the price for the TV

Answer:

Function

Step-by-step explanation:

A function is any equation that doesn't have a repeat of any outputs. Since no principal can be a principal of more than one school, it's a function.

Each school having one principal is an example of a mathematical function because there is a one-to-one relationship between schools (inputs) and principals (outputs), meeting the definition of a function with a unique output for each input.

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. When we consider the example of schools and principals, we can apply this concept to determine if it represents a function. If each school (input) has one and only one principal (output), it satisfies the criteria for a function. This is because there is a one-to-one relationship between schools and principals. No school has more than one principal, hence adhering to the definition of a function with a domain (schools) and a range (principals).

Furthermore, the concept of functions is foundational to various aspects of school systems, which goes beyond mathematics and extends into the social functions of education. For instance, schools act as socialization agencies teaching respect for authority and conformity to law, which is a manifest function. This educational function aligns with the structure of authority within schools where each principal is the head of their respective school.

Answer:

$180.00

Step-by-step explanation:

x (1 + 0.25) = 225.00

x = 225.00 / 1.25 = 180

Answer:

$900

Step-by-step explanation:

You have to divide the percentage in order for it to go up.

Answer:

(a)Bill's Total piecework pay =$500

(b)Amount owed by his boss=$26

Step-by-step explanation:

Let the number of documents put together and prepared for mailing by Bill =x

Bill receives 25 Cents=$0.25 for every document

Therefore for x documents, Bill should receive: $0.25x

If Bill prepared 2000 documents for mailing

x=2000

The amount he should receive = $0.25 X 2000 =$500

(a)Bill's Total piecework pay =$500

(b)Amount owed by his boss

=500-474

=$26

Bill should have received a gross pay of $500 for preparing 2,000 documents.

Bill works for the Stuff It Mailing Service and receives 25 cents for each document he prepares for mailing. Last week, Bill prepared 2,000 documents for a local department store. To find his correct gross pay, we can multiply the number of documents he prepared by the amount he earns per document: 2,000 documents × $0.25 per document = $500. Therefore, the correct gross pay for Bill should be $500.

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To find the perimeter of a quadrilateral use the distance formula to find the length of each side, and then add the lengths so option (A) will be correct.

Perimeter is the addition of an external measure of sides it will always positive.

A perimeter is a length and has a degree of the unit as one.

For example

Perimeter of square =  side + side + side + side

Perimeter of circle = πd where d is dia of the circle.

To find the perimeter of the quadrilateral we need to find all four side and add them because the perimeter is nothing but the sum of external sides.

So,

By using the distance formula we can find the distance between two points or the distance of a side of a quadrilateral because coordinates are given.

Hence "Use the distance formula to find the length of each side, and then add the lengths"

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Answer:

Step-by-step explanation:

4c+c=90

5c=90

c=90/5=18

∠WMJ=c=18°

∠QMX=4c=4×18=72°

2.

4x+10=2x+40

4x-2x=40-10

2x=30

x=15

vertical angle=2×15+40=70°

Answer:

16

Step-by-step explanation:

2(24)/3 = 16

Answer:

16

Step-by-step explanation:

24 divided by 3 equals 8 but since it’s not 1/3 you have to double it so i got 16

Answer:

384 square cm

Step-by-step explanation:

Fabric used will be equal to the total surface of the cubical block.

[tex]fabric \: used \\ = 6 {side}^{2} \\ = 6 \times {8}^{2} \\ = 6 \times 64 \\ = 384 \: {cm}^{2} \\ [/tex]

If Jody chooses the ginger ale, the probability that she also chooses root beer from her selection is 1/3.

Jody has four bottles of soft drink: one bottle of cola, one of root beer, one of ginger ale, and one of orange. She chooses three of these bottles to take to a party. The question is, if she chooses the ginger ale, what is the probability she also chooses root beer?

Since Jody has already chosen the ginger ale, she now has to choose 2 more bottles from the remaining three (cola, root beer, and orange).

There are 3 choose 2 ways (which is 3 ways) for Jody to pick her remaining bottles.

Only one of these combinations includes root beer (ginger ale, root beer, and one of the others).

Therefore, the probability that she also chooses root beer, given she has chosen ginger ale, is 1/3.

Answer:

b

Step-by-step explanation:

Answer:

8 cups

Step-by-step explanation:

4 gals. = 64 cups

14 qts. = 56 cups

64 - 56 = 8 cups

hope i helped

Answer:

8

Step-by-step explanation:

Once you convert 4 gallons to cups it equals 64.

Once you convert 14 quarts to cups it equals 56.

Now you subtract 64-56 and it equals 8.

Answer:

Yellow

Step-by-step explanation:

The box contains mostly of yellow therefore mostly yellow will be picked

Answer:

Most likely yellow because that's the most.

Step-by-step explanation:

Blue would be next if he didnt pick yellow

then green if he didn't pick any of those colors

then red lastly

Answer:

127.75

Step-by-step explanation:

In this geometric series, it is clear that every number is half of the previous number. From that, we can continue on the series as shown below...

64+32+16+8+4+2+1+0.5+0.25

The series above is 9 total terms. We can add those together to get our answer.

64+32+16+8+4+2+1+0.5+0.25 = 127.75

Answer:

127.75

Step-by-step explanation:

Answer: Spores for the first box. Plant for the second box

Step-by-step explanation:

I got the answer right

Here, we are required to complete the statements to describe sporulation and vegetative propagation.

(1). Spores

(2). Plant

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Answer:

D (option 4)

Step-by-step explanation:

amplitude = 5

Period 12 means the multiple of x should be

2pi/12 = pi/6

Answer: 7.615

Step-by-step explanation: