2. Distribute the -1
(6h + 4) - (2h - 3)

Answer:

Volume = 480 cm³

Step-by-step explanation:

Volume = lwh

*Split the shape into 3 rectangles.

Rectangle 1: 4 x 4 x 8 = 128

Rectangle 2: 14 x 4 x 4 = 224

Rectangle 3: 4 x 4 x 8 = 128

Total: 128 + 224 + 128 = 480 cm³

Answer:

480

Step-by-step explanation:

just took the quiz

Answer:

42 + 2/3

Step-by-step explanation:

First, to calculate the sum of an infinite geometric series, our formula is

a₁/(1-r), with a₁ being the first term of the series and r being the common ratio. Therefore, we want to find both a₁ and r.

To find r, we can first determine that 2 * r = a₄ and a₄ * r = a₅, as the ratio separates one number from the next in a geometric series. Therefore, we have

2 * r * r = a₅

2 * r² = 1/8

divide both sides by 2 to isolate the r²

r² = 1/16

square root both sides to isolate r

r =± 1/4. Note the ± because r²=1/16 regardless of whether r = 1/4 or -1/4. However, because all terms are positive, r must be positive as well, or a₄, for example, would be 2 * (-1/4) = -0.5

Therefore, r = 1/4 .

To find the first term, we know that a₁ * r = a₂, and a₂ * r = a₃. Therefore, a₁ * r² = a₃ = 2

a₁ * 1/16 = 2

divide both sides by 1/16 to isolate a₁

a₁ = 2 * 1/ (1/16)

= 2 * 16

= 32

Plugging a₁ and r into our infinite geometric series formula, we have

a₁/(1-r)

= 32  / (1-1/4)

= 32/ (3/4)

= 32/ 0.75

= 42 + 2/3

Answer:

where are the numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exterior equals the sum of opposite interior angles

x = 49 + 90

x = 139°

Answer:

XY = 24

Step-by-step explanation:

In similar triangles, the corresponding sides are in same ratio.

[tex]\frac{AC}{XZ}=\frac{AB}{XY}\\\\\frac{x+6}{30}=\frac{16}{2x-4}[/tex]

Cross multiply,

(x + 6 )(2x-4) = 16*30

Use FOIL method

x*2x + x*(-4) + 6*2x + 6*(-4) = 480

2x² - 4x + 12x - 24 = 480  {Combine like terms}

2x² + 8x - 24 = 480

2x² + 8x - 24 - 480 = 0

2x² + 8x - 504 = 0

Divide the entire equation by 2

x² + 4x - 252 = 0

Sum = 4

Product = -252

Factors = 18 , -14   {18 +(-14) = 4  & 18*(-14) = -254 }

x² + 4x - 252 = 0

x² + 18x - 14x - 252 = 0  {Rewrite middle term}

x(x + 18) - 14(x + 18) = 0

(x + 18)(x - 14) = 0

x - 14 = 0           {Ignore x + 18 = 0 as measurement will not come in negative}

x = 14

XY  = 2x - 4

    = 2*14 -4

     = 28 - 4

       = 24

Answer:

0.043

Step-by-step explanation:

arranging in ascending order

0.04,0.043,0.40

or they are 0.040,0.043,0.400

so middle term is 0.043

Given :

the numbers are  0.04, 0.40, 0.043

Arrange the given decimal numbers in ascending order

smallest number is 0.04

So the order of given decimal numbers are

0.04,  0.043 , 0.40

From this we can see that the middle number is 0.043

So, the middle number of the numbers 0.04, 0.40, 0.043 is 0.043

Learn more : brainly.com/question/21106706

Answer:

4,3,1

Step-by-step explanation:

2^a3^b5^c=2160

2^a3^b5^c=2^4 3^3 5^1

a=4,b=3 and c=1

2 | 550,750,900

2 | 275,375,450

3 | 275,375,225

3 | 275,125,75

5 | 275,125,25

5 | 55,25,5

5 | 11,5,5

11 | 11,1,1

LCM:-2×2×3×3×5×5×5×11=49500

520 x 12 months x 4 years = 24960

24960 + 3000 deposit = 27,960 total paid.

27,960 - 13,000 = 14,960 total interest paid

Answer:

1056.25 ft**2

Step-by-step explanation:

Square mean length - width so the area is

A = L * W

A = 32.5 * 32.5

A = 1056.25

The sod needed is 1,056.25 square foot .

The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides. Since the area of a square is the product of its two sides, the unit of the area is given in square units.

Formula of area of square = [tex]side^{2}[/tex]

According to the question

A square park needs grass .

The park has a side length of 32.5 feet

i.e

Side of square =  32.5 feet

Now,

The sod needed = Area of park

By using formula of area of square

= [tex]side^{2}[/tex]

= [tex]32.5^{2}[/tex]

= 1,056.25 square foot

Hence, The sod needed is 1,056.25 square foot .

To know more about area of a square here:

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Answer:

x=0   , x=8 , x = ±5i

Step-by-step explanation:

-x(x – 8)(x² + 25) = 0

Using the zero product property

-x =0   x-8 =0  x^2+25 =0

x =0    x= 8     x^2 = -25

x=0    x= 8    sqrt(x^2) = sqrt(-25)

                      x = ±5i

Answer:

We can note that this part of the graph is a linear function. This means that is has a general form: y = mx + c where m is the slop and c is the y-intercept (value of y at x=0). For the slope, we will use the points (0,2) and (3,5) to calculate it as follows: m = (y2-y1)/(x2-x1) = (5-2)/(3-0) = 1 For the y-intercept, we can note that at x=0, the value of y is 2. This means that the equation of the first part of the graph is: y = x + 2

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/703068-which-rules-define-the-function-graphed-below.html

Question :- Find Angle 1 in diagram

Answer:- Exterior angle is equal to sum of two opposite interior Angle

so :- ATQ

[tex]140 = \angle1 + 90 \\ 140 - 90 = \angle1 \\ 50° = \angle1 \: \: ans[/tex]

so your answer is option (C) 50°

Answer:

a.125.89..............

Answer:

57km /hr+55km/hr÷2 = 56 km/hr

Answer: 14.8km/h

Hope this helps!! Have a good day!!

Using the proportional relationship, it is found that:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, the relationship is given by:

[tex]y = \frac{x}{2}[/tex]

Hence, when x = 1:

[tex]y = \frac{1}{2} = 0.5[/tex]

When x = 2.5:

[tex]y = \frac{2.5}{2} = 1.25[/tex]

When x = 3.5:

[tex]y = \frac{3.5}{2} = 1.75[/tex]

You can learn more about proportional relationships at https://brainly.com/question/10424180

Answer:

x   y

___

12 4

3  1

18 6

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{(6y^2)^3 + 24y^6}}[/tex]

[tex]\huge\boxed{\mathsf{= 6y^{2\times3} + 24^6}}[/tex]

[tex]\huge\boxed{2\times3 = \bf \boxed{\bf 6}}[/tex]

[tex]\huge\boxed{= \mathsf{6y^6 + 24y^6}}[/tex]

[tex]\huge\boxed{= \mathsf{216y^6 + 24y^6}}[/tex]

[tex]\huge\boxed{\text{COMBINE the LIKE TERMS}}[/tex]

[tex]\huge\boxed{\mathsf{= 240y^6}}[/tex]

[tex]\huge\boxed{\mathsf{Answer: \bf 240y^6}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

y = 36/5

Step-by-step explanation:

The formula for direct variation is

y = kx where k is a constant

We know y =12 and x= 5

12 = k*5

12/5 = k

The formula is

y = 12/5 x

Now find y = when x=3

y = 12/5 *3

y = 36/5

Answer:

-3

Step-by-step explanation:

p(x) = x^2-6x+5

Let x= 4

p(4) = 4^2-6(4)+5

Exponents first

       = 16 -6(4) +5

Multiply

     = 16 -24 +5

Add and subtract

    = -8+5

   = -3

Answer:

1 : 3

Step-by-step explanation:

There are 2 orange triangles  and 6 blue triangles

2:6

Divide each by 2

2/2 : 6/2

1 : 3

Answer:

1:3

Step-by-step explanation:

There are 2 orange triangles and 6 blue triangles.

This can be shown as 2:6

You can then simplify the ratio down by halving it:

1:3

Hope this helps :)

Answer:

Step-by-step explanation:

Nearest thousandth = 5693.251

Nearest tenths = 5693.3

Answer:

D

Step-by-step explanation:

Add all the numbers around the triangle, the get your answer

I hope its useful

Answer:

a3+13a

Step-by-step explanation:

sorry I don't know how to solve this

Answer:+-3

Explanation:

I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).

Answer:

Step-by-step explanation:

This equation has a vertical asymptote at x = -2 and a horizontal asymptote at y = 1. This is stuff you should know about rational equations as you learn about them. The vertical asymptote serves as the locked gate or really high wall that the graph cannot go through nor can it go around or over or under. The graph will never cross through the VA. The horizontal asymptote is a horizontal line, y = 1, that reveals the graph's end behavior. So picture this:

We have an x/y coordinate plane. There is a vertical asymptote at x = -2 and a horizontal line at y = 1. This graph, because it cannot go through the vertical asymptote, is "split" into 2 parts, basically. The left "part" comes in along the horizontal asymptote from negative infinity, almost touching it but not quite, and when it reaches x = -2, it drops along the vertical asymptote, almost touching it but not quite and goes down into negative infinity. The right "part" of the graph comes down from positive infinity along the vertical asymptote, almost touching it but not quite, and when it reaches y = 1, it curves along that line off into positive infinity.

Answer:

X = 2 is your answer

hope this will help you

Answer:

x=2

Step-by-step explanation:

Answer:

$23

Step-by-step explanation:

A 15% tip on $40 is $6. The total you and your friend will receive is $46. When you split that evenly, you will each receive $23.

Cost of Mowing = $40

Tip = 15%

= 15/100×40

= $6

So you get $40 + $6

= $46

When you divide it in 2 people

= 46/2

= $23

Therefore each of you will make $23

Must click thanks and mark brainliest

[tex]\huge\mathsf\green{ANSWER}:—[/tex]

[tex]option \: c \: \sqrt{4} \: is \: the \: correct \: option[/tex]

[tex] \sqrt{4} = \sqrt{2 \times 2} = 2[/tex]

But irrational numbers are the numbers that are not rational numbers but 2 is a rational number that's why option c is correct .

angle B = ( arc ADB ) ÷ 2

46 = ( arc ADB ) / 2

Multiply both sides by 2

46 × 2 = 2 × ( arc ADB ) / 2

92 = arc ADB

arc AB = arc ADB

arc AB = 92

The measure of arc AB is 92°. Therefore, option B is the correct answer.

Given that, ∠B = 46°.

We need to find the measure of arc AB.

The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.

Now, ∠B = ( arc ADB ) ÷ 2

46° = ( arc ADB ) / 2

Multiply both sides by 2

46° × 2 = 2 × ( arc ADB ) / 2

92° = arc ADB

arc AB = arc ADB

arc AB = 92°

The measure of arc AB is 92°. Therefore, option B is the correct answer.

To learn more about the arc visit:

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Answer:

Below!

Step-by-step explanation:

To find the volume of a cylinder, you can use this formula : v = πr^2h

r = 12km , h = 7 km

v = π(12km)^2(7)

  = 3166.72539

Round to the nearest 10th

  = 3166.7 km^3

Hope this helps! Best of luck <3