Need help answering 25pts ?

Answer:

x = -8

Step-by-step explanation:

I hope this helps!

[tex]→-6x =48[/tex]

[tex] \implies{- 6x = 48}[/tex]

[tex]\implies \: x = \frac{48}{ - 6 } [/tex]

[tex] \blue{\implies \: x = - 8}[/tex]

The given dimensions of the base of the box are 2 x 3 units.

Let h be the height of the box.

So, the volume of the box = 2 x 3 x h ...(i)

The shape of baseball is spherical and one baseball fits in a cubical box having the minimum dimensions equal to the diameter of the spherical ball.

Assuming the diameter of the baseball is d units.

So, the volume occupied by one baseball= volume of the cubical box having the side [tex]d[/tex] units.

[tex]=d^3[/tex] cubic units

So, the volume required to pack 48 baseballs

[tex]= 48 d^3 \cdots(ii)[/tex]

Assuming that all the baseballs fit in the box, i.e peripheral balls in every horizontal and vertical layer touched the box as shown in the figure.

So, the length, 3 units and the width, 2 units, must be the integral multiple of the diameter, [tex]d[/tex] units, of the baseball. i.e

The length, [tex]3 = ad\cdots(iii)[/tex]

The width, [tex]2=bd\cdots(iv)[/tex]

The height, [tex]h=cd\cdots(iv)[/tex]

where [tex]a,b[/tex] and [tex]c[/tex]  belong to the natural number.

This required volume must be equals to the volume of the box.

From equations (i) and (ii),

[tex]2\times 3\times h=48d^3[/tex]

 [from (iii) and (iv)]

[tex]\Rightarrow abhd^2=48d^3[/tex]

[tex]\Rightarrow h=\frac{48d^3}{6abd^2}[/tex]

[tex]\Rightarrow h=\frac{48}{ab}d[/tex]

On comparing with the equation (iv)

[tex]c=\frac{48}{ab}\cdots(v)[/tex]

Now, if the diameter of the baseball is unity,i.e, d=1 unit

( integer) and (integer) [from (iii) and (iv)]

(also an integer)  [from (v)]

Now, the height of the box,

[tex]h=8 \times 1= 8[/tex] unit.

Hence, the other dimension of the box, is 8 units corrosponding to the unity diameter of the baseball.

Note the height of the box depends on the diameter of the baseball, so it will have infinite possible value for different value of the diameter.

For example, the value of height for d=1 unit has been shown.

and another example may be if units, then (integer) and (integer)

(also an integer)  [from (v)]

Now, the height of the box,

[tex]h=2 \times 0.5= 1[/tex] unit. [from (iv)]

Here, the height of the box is 2 units corrosponding to 0.5 unit diameter of the baseball.

The possivle values of d can be taken for which [tex]a,b[/tex] and [tex]c[/tex] must be integers.

Answer:

7:3 7/3 and 3 to 6

Step-by-step explanation:

Answer:

3 over 7 (FRACTION) 7.3(Decimal) and 7 times 3(Muliplication)

Step-by-step explanation:

$598 basically 11.50•52

Answer:

d

Step-by-step explanation:

Answer:

1.) The two numbers are 36 and 6.

2.) 42cm + 20cm = 62cm

3.) 3km/hr = rate of current

4.) Each cost 0.79 cents

5.) Mixed is 16 lbs

Blended is 28 lbs

Step-by-step explanation:

Answer: The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

Step-by-step explanation:

Answer: The correct answer is D (The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.)

Step-by-step explanation:

Answer:

3(z+3) = 3z + 9 if thats what your asking

Step-by-step explanation:

Answer:

Yes it does exist

Step-by-step explanation:

You must be able to add any two sides and get a number greater than the third side in order to be considered a triangle.

In this case that is possible.

Hope this helps!

Answer:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

Step-by-step explanation:

Factor the following:

125 q^6 - r^6 s^3

Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.

125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:

(5 q^2)^3 - (r^2 s)^3

Hint: | Factor the difference of two cubes.

Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):

(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (5 q^2)^2.

Multiply each exponent in 5 q^2 by 2:

(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Evaluate 5^2.

5^2 = 25:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (r^2 s)^2.

Multiply each exponent in r^2 s by 2:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

Answer:

ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step explanation:

Answer:

Range is (-5,5)

Step-by-step explanation:

It is the range of y values for the graph

Answer: There are 27 trees he can plant in one row. There is one pine tree and 2 oak trees in each row

Step-by-step explanation:

the answer to your question is 4

Answer:

yeah it is 4 i got it right

Step-by-step explanation:

Answer:

7/12x+5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Apex

The value of function of g (x) is,

⇒ g (x) = 2∛z

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function g(x) is a transformation of the cube root parent function,

The function is,

⇒ f (x) = ∛z

Now, After translation we get;

The value of function of g (x) is,

⇒ g (x) = 2∛z

Thus, The value of function of g (x) is,

⇒ g (x) = 2∛z

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

$101.97

Step-by-step explanation:

Diameter of circular wooden deck = 30 ft

Radius of the deck = ½ of diameter = ½*30 = 15 ft

Area of deck = πr² = 3.14*15² = 706.5 ft²

1 gallon covers 250 ft² (1 gallon = 250 ft²)

Let x be the number of gallons that will cover 706.5 ft² of the deck

Thus:

1 gallon = 250 ft²

x = 706.5 ft²

Cross multiply

1*706.5 = 250*x

706.5/250 = x

2.826 = x

Number of gallons to cover the deck is approximately 3 gallons (approximated to nearest whole number). Since the we can't buy a gallon that is not full, we approximate to give us 3 gallons.

1 gallon cost $33.99 (1 gallon = $33.99)

3 gallons cost: 3*33.99 = $101.97

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the complement = x

Let the angle = 5*x

x + 5x = 90

6x = 90

x = 90/6

x = 15

So the complement = 15

The angle itself is 5*15 = 75

Answer:

The equivalent to one over five m − 20 is one over five (m − 100) ⇒ B

Step-by-step explanation:

Let us solve the question

∵ One over five means [tex]\frac{1}{5}[/tex]

∴ One over five m - 20 = [tex]\frac{1}{5}[/tex] m - 20

→ By using the distributive property, take one over five as a common factor

  from both terms

∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex]

→ Simplify the bracket

∵  [tex]\frac{1}{5}[/tex] m ÷ [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{5}[/tex] m × 5 = m

∵ 20 ÷  [tex]\frac{1}{5}[/tex]  = 20 × 5 = 100

∴  [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex] = [tex]\frac{1}{5}[/tex] (m - 100)

∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] (m - 100)

The equivalent to one over five m − 20 is one over five (m − 100)

Answer:

Purchases= production + desired ending inventory - beginning inventory

Step-by-step explanation:

Giving the following information:

Two pounds of raw materials are needed to produce one product.

The desired ending balance of raw materials is 10% of the next month's production needs.

The beginning inventory of raw materials is 4,000 pounds.

The raw material cost per unit is $0.50 per pound.

To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.

To calculate the purchase required, we need to use the following formula:

Purchases= production + desired ending inventory - beginning inventory

For example:

Production:

January= 5,000 units

February= 4,500 units

Direct material purchases January:

Production= 5,000*2= 10,000

Desired ending inventory= (4,500*2)*0.1= 900

Beginning inventory= (4,000)

Total purchase in pounds= 6,900

Total direct material cost= 6,900*0.5= $3,450

Answer:

I would think 2222

Step-by-step explanation:

Between the three numbers, that four-digit number is the greatest.

(Apologies if not correct)

Answer:

6

Step-by-step explanation:

Given the following :

Number of sugar cookies = 42

Number of Oatmeal = 30

To package the cookies into identical containers so that each container has the same number of cookies with no left over ;

We find the greatest common factor of 42 and 30

Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30

The greatest common factor = 6

Answer:

-176.........................