What is the volume of the following rectangular prism?

Answer:

y =  -[tex]\frac{1}{2}[/tex]x + 10

Step-by-step explanation:

To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 2x - y = 4, we will follow the steps below:

first write the equation 2x - y = 4 in a standard form

we will find the slope of our equation using this equation

2x - y = 4

y = 2x -4

comparing the above with

y = mx  + c

m = 2

[tex]m_{1}[/tex][tex]m_{2}[/tex] = -1  ( slope of perpendicular equations)

2[tex]m_{2}[/tex] = -1

[tex]m_{2}[/tex]  = -1/2

our slope m = -1/2

We can now go ahead and form our equation

[tex]x_{1}[/tex] =8   [tex]y_{1}[/tex] =6

y-[tex]y_{1}[/tex] = m (x-[tex]x_{1}[/tex])

y-6 = -[tex]\frac{1}{2}[/tex](x-8)

y-6 =  -[tex]\frac{1}{2}[/tex]x + 4

y=  -[tex]\frac{1}{2}[/tex]x+4+6

y =  -[tex]\frac{1}{2}[/tex]x + 10

Answer:

1,2 and 4 are correct.

Step-by-step explanation:

A mineral cannot be a liquid or a gas.

Answer:

|, ||, |V

Step-by-step explanation:

Only I, II, and IV are true. Minerals are solid, naturally occurring inorganic substances, each having a specific chemical makeup. Each mineral also has a particular type of ordered internal structure. Rocks are made of two or more minerals.

plan B would share less

because, 20% of 1700 is 340 and 30% of 1450 is 435

I hope this helps!!

Answer:

plan A

Step-by-step explanation:

Plan A

1700-8450=6750*.20=1350+1700=3050

Plan B

1450-8450=7000*.30=2100+1450=3550

Answer=Plan A

Answer:

1 3/8 lbs.

Step-by-step explanation:

3 1/4 x 1/2 = 1 5/8

1 5/8-1/4=

1 5/8-2/8=

1 3/8

Answer:

13

Step-by-step explanation:

volume of pad : 8x8x1=64

64/5=12.8

so you would need 13 bags

Answer:

Step-by-step explanation:

Since the pad frame is a square frame measuring 8 feet long and 1 foot high, we would determine its volume by applying the formula for determining the area of a cuboid which is expressed as

Volume = length × width × height

Volume of pad frame = 8 × 8 × 1 = 64 cubic feet

Since each bag of cement will fill 5 cubic feet, then the number of bags that you will need to buy to ensure enough to fill the entire frame is

64/5 = 16.8

Approximately 17 bags

=============================================

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

----------

We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.

Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.

Answer: Answer: 765

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

Answer:

It states that assuming the trunk is 96" long.  So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.

Step-by-step explanation:

The length of the diagonal of the trunk is 56.356011 inches.

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

Given:

height of the trunk= 26 inches

length of the trunk= 50 inches

using Pythagorean theorem,

diagonal length of the trunk=√(height² +length²)

=√(26²+50²)

=√3176

=56.356011 inches

Hence, the length of the diagonal of the trunk is 56.356011 inches.

Learn more about this concept here:

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Answer:

95

Step-by-step explanation:

GH = SR

SR = 30

FG =TS

TS = 39

104-39 =65

30+65 =95

Answer:

6

Step-by-step explanation:

Split the shape into two shapes, one square and one triangle.

Find the area of the square and area of triangle.

area of square = 2 × 2 = 4

The height of the triangle is 4 - 2 = 2 units.

area of triangle = 2 × 2 × 1/2 = 2

Add the areas.

4 + 2 = 6

The area is 6 units².

Answer:

6

Step-by-step explanation:

It would be easier to divide this shape into a square and a triangle.

square = 2*2 = 4

triangle = [tex]\frac{2*2}{1/2}[/tex] = 2 (2 triangles make squares so 1 triangle is half)

And 4 + 2 = 6

Answer:

A

Step-by-step explanation:

Answer:

I'm doing good. The answer is 651.

Step-by-step explanation:

Using the order of operations, you would multiply the 34 x 39=646. Then add 5 to it: 646+5=651.

Answer:

Step-by-step explanation:

Using BODMAS Rule:

B = Bracket

O = Of

D = Division

M = Multiplication

A = Addition

S = Subtraction

Now, Let's solve

[tex]5 + 34 \times 19[/tex]

Multiply the numbers

[tex] = 5 + 646[/tex]

Calculate the sum

[tex] = 651[/tex]

Hope this helps!

Answer:

30 gallons of 6% milk, and 45 gallons of 1% milk.

Step-by-step explanation:

x=quarts of 6% butterfat

0.06x+0.01(75-x)=0.03*75

0.06x*100+0.01*100(75-x)=100*0.03*75

6x+75-x=3*75

6x+75-x=225

5x=225-75=150

5x=150

x=30

75-30=45

So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.

So, the mixture contains 60 quarts of 6% milk and 15 quarts of 1% milk

The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1

Let [tex]x[/tex] quats and [tex]y[/tex] quats of 6% and 1%  butterfat milk then,

[tex]x+y=75...(1)[/tex]

And

[tex]\frac{6x}{100} +\frac{y}{100} =375\\6x+y=375...(2)[/tex]

Now, solving equations (1) and (2) we get,

[tex]x=60\\y=15[/tex]

Learn more about the topic linear equations:

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Answer:

5 cans

Step-by-step explanation:

$2/1 can = $10/x cans

x = 5

Answer:

5

Step-by-step explanation:

10 divided by 2 equalls 5

Answer:

The answer is C:2 and 23

Step-by-step explanation:

Answer:

U have told the answer in the ques. then why r u asking question.

U know the answer already...

Answer:

x = 12

Step-by-step explanation:

multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6

x = 12

Answer: x is 12

Step-by-step explanation:

Answer:

1 Employee gets = Rs 13,020

Step-by-step explanation:

25% profit = Rs 26,04,000

Bonus is always 20% of the profit

So, Bonus:

=> 26,04,000/5

=> Rs 520,800

50% bonus  from the profit = 520,800/2

=> Rs 260,400

This was divided equally among 20 employees.

So, Each Employ gets:

=> 1 Employee = 260,400/20

=> 1 Employee gets = Rs 13,020

Answer:

1,110,000

Step-by-step explanation:

1,112,433

  ↑ this is the digit in the ten thousand place

We look at the digit below to determine if we need to round up

2 is less than 5 so we leave the digit in the ten thousands place alone

1,110,000

Answer:

1110000

Step-by-step explanation:

2 is smaller than 5 so it will round to 0 and so will everything under it.

Answer:

D) f(x)=(1/2)^x, g(x)=(1/8)^x, h(x)=(2/3)^x.

Step-by-step explanation:

Answer: 3/5

Step-by-step explanation:

This spinner has 5 sections, 3 of which are pink.  Thus, you have a 3/5 chance to get pink.

Total outcomes: 5

Favored outcomes: 3

Hope it helps <3

Answer:

P = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Total Parts = 5

Pink Parts = 3

Probability = [tex]\frac{No. OfPossible Outcomes}{No.OfFavourable Outcomes}[/tex]

P = [tex]\frac{3}{5}[/tex]

Answer:

1) 3 marbles

2) The number of people born every hour is 9000 people

The number of people born every day is 216,000 people

The number of people born every year = 78,840,000 people

Step-by-step explanation:

1) The given information are;

The number of students =  3 or 6

Amount of marbles remaining after sharing = None

Least amount of marbles that can be shared equally among the students = Condition each student gets one marble = 1 × 3 = 3 marbles

The least amount of marbles that can be shared equally among the students = 3 marbles

2) The number of people born int eh world every minute = 150 people

The number of minute in one hour = 60 minutes

∴ The number of people born every hour = 150 × 60 = 9000 people

Given that the number of hours in one day = 24 hours

∴ The number of people born every day = 9000 × 24= 216,000 people

Given that the number of days in one year = 365 days

∴ The number of people born every year = 216,000 × 365= 78,840,000 people

Answer:

1 and 3.

Step-by-step explanation:

The given system of equations

[tex]2x-7y=-13[/tex]     ...(1)

[tex]-2x+11y=1[/tex]     ... (2)

Here, coefficients of x have same values with opposite signs.

The x-variable will be eliminated when adding the system of equations.

Add (1) and (2), we get

[tex]2x-7y-2x+11y=-13+1[/tex]

[tex]4y=-12[/tex]

Divide both sides by 4.

[tex]y=-3[/tex]

Put y=-3 in (1).

[tex]2x-7(-3)=-13[/tex]

[tex]2x+21=-13[/tex]

[tex]2x=-13-21[/tex]

[tex]2x=-34[/tex]

Divide both sides by 2.

[tex]x=-17[/tex]

So, the given system of equations have unique solution, i.e., (-17,-3).

Therefore, the correct options are 1 and 3.

Answer:

we need picture

Step-by-step explanation:

probaby d tho

Answer:

3244.5

Step-by-step explanation:

LxW=A

Answer:

Step-by-step explanation:

It's y = x^2, not y = x2.  The graph of y = x^2 is a parabola with vertex (0, 0) and which opens up.

The graph of y = (x + 5)^2 has the same shape as that of y = x^2, but has been translated 5 units to the left.

The graph of the function f(x) = - (x + 5)² will rotate along the x-axis and shift 5 units to the left.

There are four different kinds of translation: stretching, shrinking, rotating, and shifting.

When shifting, the entire graph is moved in the XY direction. When expanding and contracting a graph, we do so by a factor of k. When rotating a graph, we do so either clockwise or counterclockwise.

We know the graph of the equation y = x² is a parabola that opens upwards.

Now, the graph of equation f(x) = - (x + 5)² will first rotate 180° along the x-axis as there is a change in sign y and shift x + 5 = 0 ⇒ x = - 5 shift 5 units to the left.

learn more about translation here :

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Answer:

The answer is B.

Step-by-step explanation:

First you have to find the angle of ATB. Given that ∠TAB and ∠TBA have the same angle and the total angle in a triangle is 180°. So you have to subtract :

∠TAB + ∠TBA + ∠ATB = 180°

∠ATB + 62° + 62° = 180°

∠ATB + 124° = 180°

∠ATB = 180° - 124°

∠ATB = 56°

A tangent to a circle will always be 90°, so ∠TAO and ∠TBO are 90°. In a quadrilateral, total angles is 360°. So the angle of AOB is :

∠ATB + ∠TAO + ∠TBO + ∠AOB = 360°

56° + 90° + 90° + ∠AOB = 360°

236° + ∠AOB = 360°

∠AOB = 360° - 236°

∠AOB = 124°

Answer:

The answer is

None of the above

Hope this helps you

Answer:

None of the above

Step-by-step explanation:

Answer:

[tex]\boxed{y=14}[/tex]

Step-by-step explanation:

[tex]y=x+6[/tex]

[tex](x, y)[/tex]

The x coordinate is given.

[tex](8,y)\\x=8[/tex]

Plug x as 8.

[tex]y=8+6\\y=14[/tex]

Answer:

x = 29

Step-by-step explanation:

If the lines are parallel

< CBA = < DAB due to the fact that they are alternate interior angles

42 = DAB

We also know that

DAB + BAC + CAE = 180 since they form a straight line

Substituting the given values

42+ 109 + x = 180

Combine like terms

151 + x = 180

151+x-151 = 180-151

x = 29

Answer:

The graph of the equation y=3x-2 is shown in the picture below!!

Step-by-step explanation:

I hope this helps, if it does please mark brainliest!! Thank you!! Have a great day!

Step-by-step explanation:

Do you mean (5-4)*(25) or 5-4(25)

(5-4) * (25)

= 5^2

Or

5-4(25)

=5 - 100

=-95

?