50 POINTS PLEASE HELP What is the volume of this prism???

Answer:

Domain=[67,78]

Step-by-step explanation:

To find domain:

  ⇒ must define what is a domain

       ⇒ Domain is the set of input values or the values of the x-axis of

           graph that is covered by the function

Based on the definition:

    ⇒ 67 ≤ x ≤ 78 is the domain of the function

Answer: 67 ≤ x ≤ 78 where x is a whole number

Hope that helps!

The missing parts of the given table are

∠1 ≅ ∠4                  → Alternate interior angles Theorem

DB ≅ DB                 → Reflexive property

ΔDAB ≅ ΔBCD       → SAS (Side Angle Side)

From the question, we are to complete the table to prove that ABCD is a parallelogram

The missing parts in the table can be completed as shown below

∠1 ≅ ∠4                  → Alternate interior angles Theorem

DB ≅ DB                 → Reflexive property

ΔDAB ≅ ΔBCD       → SAS (Side Angle Side)

Hence, the missing parts of the given table are

∠1 ≅ ∠4                  → Alternate interior angles Theorem

DB ≅ DB                 → Reflexive property

ΔDAB ≅ ΔBCD       → SAS (Side Angle Side)

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.

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

Answer:

If it went up it would be: 50596.35 and if it went down it would be: 7556.66

Step-by-step explanation:

Here will be the function if it went up:

20000(1+0.0475)^20

Here’s if it went down:

20000(1-0.0475)^20

Step-by-step explanation:

m and n are directly linked to each other by a factor.

m×k = n

-12×k = 4

k = 4/-12 = -1/3

m×-1/3 = -3

m = 9

Answer:

5×5=25

8×5÷2=20

25+20= 45

area of a composite 45

Answer:

2(3x+4)

Step-by-step explanation:

Since the 2 is outside of the parenthesis, it means that everything inside of the parenthesis is multiplied by 2

2 x 3x = 6x

2 x 4 = 8

There is a + between 3x and 4, which means that, when simplified, 2(3x +4) = 6x + 8

Option 2(3x + 4 ) is correct.

Step-by-step explanation:

=> 2 ( 3x + 4 ) = 6x + 4 .

Answer: The final cost would be 68.64

Explanation: Step 1) Convert 22% to a decimal: 0.22

Step 2) Multiply that by the amount (0.22×88=19.36)

Step 3) Subtract from the amount (88−19.36)=$68.64

 Answer $68.64

Answer:

x = 7

y = 12

Step-by-step explanation:

The key to solving this problem is understanding the properties of exponents:

If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.

6^1/3+1/4 = 6^x/y

6^7/12 = 6^x/y

So the product would be 6^7/12

Therefore, the answers are:

x = 7

y = 12

Answer:

Area = 210

Step-by-step explanation:

Given:

To find:

Steps:

A = b · h

= 15 · 14

= 210

Answer:

210 yd²

Step-by-step explanation:

Area of a parallelogram :

Solving using the given values :

Answer:

here is your answer

Step-by-step explanation:

cross multiplication

divide

Answer: [tex]x^3y^9[/tex]

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near "7.".

STEP 1:

Simplify [tex]\frac{y^2}{x}[/tex]

The equation at the end of step 1:

[tex]((x^4)*\frac{y^2}{x} )*y^7[/tex]

Multiplying exponential expressions:

2.1    [tex]y^2[/tex] multiplied by [tex]y^7[/tex] [tex]=y^(2+7)=y^9[/tex]

Final result is [tex]x^3y^9[/tex]

[tex][6(\cos 70^{\circ} + i \sin 70^{\circ})]^3\\\\=6^3[ \cos ( 3 \times 70)^{\circ} + i \sin ( 3 \times 70)^{\circ}]\\\\=216 [\cos(210^{\circ}) + i \sin( 210^{\circ})]\\\\=216[\cos(2\times 90^{\circ} + 30^{\circ}) + i \sin( 2 \times 90^{\circ} + 30^{\circ})]\\\\=216[-\cos 30^{\circ}-i\sin 30^{\circ}]\\\\=216\left[-\dfrac{ \sqrt 3} 2 - i \cdot \dfrac 12 \right]\\\\=-108\left(\sqrt 3 +i \right)[/tex]

The number that we need to add to "complete the square" when solving x² – 14x – 40 = 0 using the method of completing the square is 49.

To solve a quadratic equation using the method of completing the square, we need to add the square of half of the coefficient of the x term to both sides of the equation.

This will convert the left side of the equation into a perfect square trinomial.

Then, we can take the square root of both sides and isolate the variable x.

To solve the quadratic equation x² – 14x – 40 = 0 using the method of completing the square, we need to add the square of half of the coefficient of x to both sides.

The coefficient of x is -14, so half of it is -7.
The square of -7 is 49.

Therefore, we need to add 49 to both sides of the equation to "complete the square".

Now, we have: x² – 14x + 49 = 40 + 49

Simplifying this gives: (x - 7)² = 89

Taking the square root of both sides gives: [tex]x - 7 = \pm\sqrt{89}[/tex]

Adding 7 to both sides gives:[tex]x = 7 \pm\sqrt{89}[/tex]

Therefore, the number that we need to add to "complete the square" when solving x² – 14x – 40 = 0 using the method of completing the square is 49.

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[tex](0.0)(1.2)[/tex]

[tex]\dfrac{x^2y}{2} = \dfrac{(-1)^2 \cdot 5 }{2} = \dfrac{1 \cdot 5}2 = \dfrac 52[/tex]

Answer:

Y less than or equal to zero

Step-by-step explanation:

The graph shows that its moving downwards, therefore the Y value is decreasing..

Answer:

I believe it would be 15, apologies if its incorrect.

Step-by-step explanation:

Answer:

<A = 60°

Step-by-step explanation:

The triangle is 180° Angle A and B add up to 118°

4y° + (3y + 13)° = 118°

7y + 13 = 118°

7y = 105

y = 15

Since you solve for y, plug your y into the angles to solve.

<A = 4y

<A = 4 * 15

<A = 60°

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

Answer:

2249999.99524

Step-by-step explanation:

The answer would be 2249999.99524

Or just 224999

Sorry for the last answer!

Answer:

50.75

Step-by-step explanation:

812 divided by 16 = 50.75

Hope This Helped

Answer:

BELOW IN BOLD.

Step-by-step explanation:

14,25,97,55,66,28,92,38,94

Arrange these in ascending order:

= 14 25 28 38 55 66 92 94 97

The median = middle number = 55.

First quartile = (25+28)/2 =  26.5.

Third quartile = (92 + 94)/2 =  93.

Interquartile range = 93 - 26.5 = 66.5.

Answer:

[A] x < 2

Step-by-step explanation:

Given:

x - 6 < - 4

Solve:

Add 6 to both sides

Which shown below:

x - 6 < - 4

    + 6  +6

-----------------

x < 2

Hence, the answer is [A] x < 2

Kavinsky

Answer:

[tex]9 < \sqrt{90} < 10[/tex]

Step-by-step explanation:

Since [tex]9^2=81 < 90[/tex] and [tex]10^2=100 > 90[/tex], then [tex]9 < \sqrt{90} < 10[/tex]

Answer:

381

Step-by-step explanation:

that's the nearest whole number

Answer:

4/5

Step-by-step explanation:

Answer:

=4/5 or 0.8 as decimal

Step-by-step explanation:

8/10

Factor the number: 8=2· 4

2x4

Factor the number: 10 = 2· 5

2x4/2×5

Cancel the common factor: 2

=4/5

or (decimal 0.8)

Answer: 0.5

Step-by-step explanation:

    The odd numbers in the spinner are 9 and 7. The non-odd numbers are 8 and 6.

     We will put the wanted outcomes over the total possible outcomes.

2 / 4

1 / 2

1 / 2 = 0.5

             P(odd) is 0.5.

Answer:

D

Step-by-step explanation:

cotangent = cos / sin        

                 = 4/3

using pythagorean theorem   4^2 + 3^3 = h^2      <=====  h = 5

      then cos = 4/5    sin = 3/5    

               then,  since    csc = 1/sin = 5/3

The table is an illustration of a linear table, and the constant of proportionality is 1.4

The table is given as:

x 1.3 1.6 1.9 2.2

y 1.82 2.24 2.66 3.08

The constant of proportionality (k) is calculated using:

k = y/x

Using the values on the table, we have:

k = 1.82/1.3

Divide

k = 1.4

Hence, the constant of proportionality is 1.4

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