The rectangular prism is made up of cubes that measure 1 cm each.
What is the volume of the rectangular prism?
A. 24 cm
B. 43 cm3
C. 48 cm
D. 72 cm

Answer:

the smallest dimension = 100 ft

the largest dimension = 150 ft

Maximum Area = 15000 ft²

Step-by-step explanation:

let x represent length of one side and L represent length of adjacent side

so from the question

3x + 2L = 600

2L = 600 - 3x

L = (600 - 3x)/2

L = (600/2) - (3x/2)

L  = 300 - (3x/2)

now Area of rectangle = L × x

Area = (300 - (3x/2)) × x

Area = 300x - 3x²/2

now we differentiate with respect to x  and equate to 0 in other to find critical point

dA/dx ⇒ 300x/x - 3x²/x = 0

300 - 3x = 0

3x = 300

x = 300/3

x = 100

so we input value of x into our previous equation

Area = 300x - 3x²/2

= 300(100) - (3(100)²)/2

= 30000 - 15000

Area = 15000

also we input value of x in L = 300 - (3x/2)

L  = 300 - (3(100))/2)

L = 300 - 150

L = 150

Therefore

the smallest dimension = 100 ft

the largest dimension = 150 ft

Maximum Area = 15000 ft²

Answer:

-1/2

Step-by-step explanation:

Answer:angle a is about 85.57°

Step-by-step explanation:

Since they are complimentary, their sum equals 90° (6x+29+x-5=90°). You use this equation to find the value of x, which is ~ 9.428. After finding the value of x you plug it back in into a’s equation to find the value of a.

Answer:

the answer is b

pls give brainliest

Step-by-step explanation:

Answer:

The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417.

Step-by-step explanation:

From the question,

A store has 5 rings and 9 bracelets for sale. If all 14 items sell, the amount of money the store will take in can be determined by summing up the total cost of the rings and the total cost of the bracelets.

First, we will determine the total cost of the rings

From the question, a ring cost $125

∴ 5 rings will cost 5 × $125

5 × $125 = $625

Hence, the total cost of the rings is $625

For the bracelets

From the question, a bracelet cost $88

∴ 9 bracelets will cost 9 × $88

9 × $88 = $792

Hence, the total cost of the bracelets is $792

The amount the store will take in will be $625 + $792 = $1417

Hence, if all 14 items sell, the amount of money the store will take in will be $1417.

The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417

Answer:

The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417.

Step-by-step explanation:

From the question,

A store has 5 rings and 9 bracelets for sale. If all 14 items sell, the amount of money the store will take in can be determined by summing up the total cost of the rings and the total cost of the bracelets.

First, we will determine the total cost of the rings

From the question, a ring cost $125

∴ 5 rings will cost 5 × $125

5 × $125 = $625

Hence, the total cost of the rings is $625

For the bracelets

From the question, a bracelet cost $88

∴ 9 bracelets will cost 9 × $88

9 × $88 = $792

Hence, the total cost of the bracelets is $792

The amount the store will take in will be $625 + $792 = $1417

Hence, if all 14 items sell, the amount of money the store will take in will be $1417.

The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417

Step-by-step explanation:

Answer:

I am not sure, I might have did my math wrong. But..

Step-by-step explanation:

5(2)+8-12(2) = -6(2)-3

10+8-12=-12-3

6=-15

6(2)+4-12(2)=-10(2)+18(2)-3

12+4-24=-20+36-3

-8=13

48-6+2=-2(2)+2-10

44=-4+2-10

44=-12

-3(2)-8+2=-4(2)+2-10

-6-8+2=-8+2-10

-14+2=-6-10

-12=-16

Answer:

Step-by-step explanation:

A, B and C

Answer:

it dropped 3.6 F each hour

The required match of complex numbers is given by
1 = [tex][i^{16},][/tex],  
-1 = [tex]-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}[/tex]},
i = [tex]{i^{17}[/tex],
-i = {[tex]-i^{25}[/tex]}

Perfect matches of a simplified complex number to be identified.

The number that constitutes of real and imaginary numbers are called complex numbers. Standard form of complex number = a + bi

i² = -1 , i³ = -i and  [tex]i^4=1[/tex]

1)
[tex]=-i^{25}\\=-(i^{24})*i\\=-i(i^4)^7\\=-i[/tex]

2)
[tex]=i^{16}\\=(i^{4})^4\\=1[/tex]

3)
[tex]=i^{17}\\=(i^4)^4*i\\=i[/tex]

4)
[tex]=-i^{32}\\=-(i^4)^8\\=-1[/tex]

5)
[tex]=i^9*(-i^{11})\\=i*(i^4)^2*(-i^8*i^3)\\=i*(-i)\\=i*[(-1)(-i)]\\=i*i\\=-1[/tex]

6)
[tex]= i^{23}/-i^{11}\\= -i^12\\=-(i^4)^3\\= -1[/tex]

Thus, the required match of complex numbers is given by
1 = [tex][i^{16},][/tex],  
-1 = [tex]-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}[/tex]},
i = [tex]{i^{17}[/tex],
-i = {[tex]-i^{25}[/tex]}

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Answer:

i love this one 123465678891011121314

The case 1 (a certificate of deposit (CD) ) will earn more interest.

Simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period.

Given

Case 1:

Principal  p = $500

Time t = 3 years

Rate of interest r = 2%

Based on the given conditions

Simple Interest = [tex]\frac{prt}{100}[/tex]

= [tex]\frac{500(2)(3)}{100}[/tex]

= $30

Case 2:

Principal  p = $250

Time t = 2 years

Rate of interest r = 3%

Based on the given conditions

Simple Interest = [tex]\frac{prt}{100}[/tex]

= [tex]\frac{250(3)(2)}{100}[/tex]

= $15

The case 1 CD will earn more interest.

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Answer:

70% of the people attended the music concert also attended the drama play

Step-by-step explanation:

Drama:

50 x 350   = 175            

   100              

350 ÷ 2 (50%) = 175

50% (1/2) of 350 = 175

Music Concert:

175      x 100% = 70%

250

175 of 250 = 70%

70% of the people attended the music concert also attended the drama play

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A school held several evening activities last month - a music concert, a basketball game, a drama play, and literacy night

The music concert was attended by 250 people

350 people attended the drama play.

50% of the people who attended the drama play also attended the music concert.

350/2=175

We need to find the percentage of the people who attended the music concert also attended the drama play.

175/250 x 100 = 70%

Hence 70% of the people attended the music concert also attended the drama play

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Answer:

Math: Deals 6710 - 9506 fire damage and combustion to the second weakest enemy and 2 random enemies.

Step-by-step explanation:

wra

Answer: add 6

Step-by-step explanation:

The function is add 6 because we see

24 + 6 = 30

30 + 6 = 36

36 + 6 = 42

The answer to the question is add 6.

Answer:

the answer is 6

Step-by-step explanation:

Answer:

The expression that represents "five less than the quotient of a number and three"

Is X ÷ 3 = Quotient - 5

Therefore, the two operations are needed to write the expression is Division and Subtraction

Step-by-step explanation:

Which two operations are needed to write the expression that represents "five less than the quotient of a number and three"?

Quotient = Dividend ÷ Divisor

Let the number the represented by X

Hence:

The expression that represents "five less than the quotient of a number and three"

Is X ÷ 3 = Quotient - 5

Therefore, the two operations are needed to write the expression is Division and Subtraction

Answer:

B

Step-by-step explanation:

I took the unit test.

Answer:

1 in

Step-by-step explanation:

Answer:

J (3,0)

Step-by-step explanation:

Answer:

x ≤15

Step-by-step explanation:

-5x+ 3 ≥ −72

Subtract 3 on both sides

-5x+3-3≥ -72-3

(-5x)(-1) ≤(-75)(-1)

5x≤75   Divide by 5

x ≤15  

I hope its right

Answer:

y = 4x-2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Use the formula y2-y1/x2-x1

Plug in the values (-7-8)/(-15-(-10))

-15/-5

3

Answer:

slope = m    ,  m = rise /  run     rise = change in y   run = change in x

Step-by-step explanation:

to find change in y just subtract the second y  from the first , like thus,

P1=(-10,8)  =  (X1,Y1)

P2=(-15,-7) = (X2,Y2)

-7-8=-15= change in Y

to find the change in X just subtract the second x from the first, like thus,

-15-(-10) = -15+10 = 5

m= -15/5

m=-3

it's a slope of negative 3...  make sense?

it equals -8.

4k + 13 = 3k + 5

4k + 13 - 13 = 3k + 5 - 13

4k = 3k - 8

4 k  −  3 k  = 3k - 8 - 3k

k = -8

Answer:

the product of a rational number multiplied by itself.

the product of a polynomial multiplied by itself.

Step-by-step explanation:

Answer:

(-5,1)

Step-by-step explanation:

Answer:

1244

Step-by-step explanation:

Answer:

y = -1/5 x + 5

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

because that problem would cause the 12 to have a negative exponent but to change that make the exponent positive with a one on top

Answer:

10 to 5

Step-by-step explanation:

Answer:

m=10/3

Step-by-step explanation:

If this helps plz give me brainliest :)

Answer:

37.26 div by 54=0.69

Step-by-step explanation:

it would be the first one

[15+(-2)+8+(-6)+5]+5