what does a(b-c) = to?

Given :

To Find :-

Solution :-

From the given figure we can see that the prism is made up of

And the base and height of each triangle is ,

And the dimensions of each rectangle is ,

Therefore , the Total surface area is ,

→ TSA = 2( area of each ∆) +3(area of each rectangle)

→ TSA = 2 ( 1/2 * 7 * 5)in.² + 3(13*6.1) in.²

→ TSA = 2 * 35/2 in.² + 3* 79.3 in.²

→ TSA = 35 in.² + 237.9 in.²

→ TSA = 272.9 ≈ 273 in.²

Hence the TSA of prism is 273 in.² .

I hope this helps.

Answer:

100 + 10u

Step-by-step explanation:

apply distributive law: a(b+c) = ab + ac

remove parenthesis

Answer:

[tex]x= 4[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{2x}}{\sqrt{x-2}\:}=2[/tex]                       [ bring √(x - 2) to the opposite side ]

[tex]\sqrt{2x} = 2\sqrt{x-2}[/tex]          

[tex](\sqrt{2x} )^{2} = (2\sqrt{x-2})^2[/tex]      [ square both sides ]

[tex]2x = 4(x-2)[/tex]  

[tex]2x=4x-8[/tex]

[tex]2x - 4x = -8[/tex]

[tex]-2x = -8[/tex]

[tex]x= 4[/tex]

Answer:

x=4

Step-by-step explanation:

[tex]\dfrac{\sqrt{2x} }{\sqrt{x-2}}=2[/tex]

Multiply both sides by [tex]\sqrt{x-2}[/tex] :

[tex]\implies \sqrt{2x}=2\sqrt{x-2}[/tex]

Square both sides:

[tex]\implies 2x=4(x-2)\\\\\implies 2x=4x-8[/tex]

Add 8 to both sides:

[tex]\implies 2x+8=4x[/tex]

Subtract [tex]2x[/tex] from both sides:

[tex]\implies 8=2x[/tex]

Divide both sides by 4:

[tex]\implies x=4[/tex]

Answer:

Step-by-step explanation:

Total weight of apples:

The weight of fresh apples:

Total Weight of Apples

[tex] \frac{30}{4}=7.5pounds [/tex]

Weight of Fresh Apples

[tex]7.5 - 3 = 3.5pounds[/tex]

Hope it helps youuuu :)

The slope of a linear regression is the rate of change of the line of the best fit

The linear regression is given as:

y = -1.62x + 18

Where

Using the above representations, the slope means that the wait time per staff is 1.62 minutes

Also, the slope value is realistic because time can be measured in decimals

Read more about linear regressions at:

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Answer:

There are no solutions to the system because the equations represent parallel lines.

Step-by-step explanation:

Answer:

What does 0 = −12 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines.

Answer:

6a +6a +3 + 6a

12a +3 +6a

18a +3

Answer:

i think 66.5 miles per hour

Step-by-step explanation:

Answer:

205.295 miles divided by 3.12 hours = 65.8 miles per hour

Step-by-step explanation:

Answer:

a) 52

Step-by-step

49+52=101

which makes the equation true

101>100

51 will make it equal

53 and 54 its more than 52 that meants it wont be  the smallest whole number

Answer:

4 + 7 = 11

4 + 7(3) = 25

4 + 21 = 25

first number is 4, second is 7

I hope this helped!

Step-by-step explanation:

Answer:

Step-by-step explanation:

<A = <E corresponding parts of 2 geometric figures are =

60 + 8x = 108                    Subtract 60 from both sides

8x = 108 - 60                     Combine

8x = 48                              Divide by 8

8x/8 = 48/8                      

x = 6

< C    = <G                corresponding parts of 2 geometric figures are =

8y - 3x = 62              Use x = 6 from the previous problem

8y - 3*6 = 62             Combine

8y - 18 = 62               Add 18 to both sides

8y = 62 + 18               Combine

8y = 80                       Divide by 8

8y/8 = 80/8

y = 10

I don't know what table you have as reference, but I suspect it includes the following transforms:

[tex]1 \leftrightarrow \dfrac1s[/tex]

[tex]e^{at} \leftrightarrow \dfrac{1}{s-a}[/tex]

[tex]\cos(at) \leftrightarrow \dfrac{s}{s^2+a^2}[/tex]

[tex]\sin(at) \leftrightarrow \dfrac{a}{s^2+a^2}[/tex]

[tex]\cosh(at) \leftrigharrow \dfrac{s}{s^2-a^2}[/tex]

[tex]\sinh(at) \leftrigharrow \dfrac{a}{s^2-a^2}[/tex]

It probably also includes some more general properties, like

[tex]t f(t) \leftrightarrow -F'(s)[/tex]

[tex]e^{at} f(t) \leftrightarrow F(s-a)[/tex]

where F(s) is the Laplace transform of f(t).

Beyond these, you should also know the following identities:

[tex]\cosh(t) = \dfrac{e^t + e^{-t}}2[/tex]

[tex]\cosh^2(t) = \dfrac{1 + \cosh(2t)}2[/tex]

[tex]\cos^2(t) = \dfrac{1 + \cos(2t)}2[/tex]

[tex]\sin^2(t) = \dfrac{1 - \cos(2t)}2[/tex]

[tex]\sin(2t) = 2 \sin(t) \cos(t)[/tex]

[tex]\sin(t \pm T) = \sin(t) \cos(T) \pm \cos(t) \sin(T)[/tex]

Putting everything together, we have

• (a)

[tex]\cosh(t) \sin(t) = \dfrac{e^t + e^{-t}}2 \times \sin(t) = \dfrac12 e^t \sin(t) + \dfrac12 e^{-t} \sin(t)[/tex]

and the Laplace transform is

[tex]\dfrac12 F(s - 1) + \dfrac12 F(s + 1)[/tex]

where F(s) is the transform of sin(t),

[tex]F(s) = \dfrac{1}{s^2 + 1}[/tex]

Then

[tex]\cosh(t) \sin(t) \leftrightarrow \dfrac{\frac1{(s-1)^2+1} + \frac1{(s+1)^2+1}}2 = \boxed{\dfrac{s^2+2}{s^4+4}}[/tex]

• (b)

[tex]\sin^2(t) = \dfrac12 \left(1 - \cos(2t)\right)[/tex]

and the transform is

[tex]F(s) = \dfrac12 \left(\dfrac1s - \dfrac{s}{s^2+4}\right) = \boxed{\dfrac{2}{s^3+4s}}[/tex]

• (c)

[tex]\cos^2(2t) = \dfrac12 \left(1 + \cos(4t)\right)[/tex]

with transform

[tex]F(s) = \dfrac12 \left(\dfrac1s + \dfrac{s}{s^2+16}\right) = \boxed{\dfrac{s^2+8}{s^3+16s}}[/tex]

• (d)

[tex]\cosh^2(t) = \dfrac12 \left(1 + \cosh(2t)\right)[/tex]

with transform

[tex]F(s) = \dfrac12 \left(\dfrac1s + \dfrac{s}{s^2-4}\right) = \boxed{-\dfrac2{s^3-4s}}[/tex]

• (e)

[tex]t\sinh(2t) \leftrightarrow -F'(s)[/tex]

where F(s) is the Laplace transform of sinh(2t),

[tex]F(s) = \dfrac{2}{s^2 - 4} \implies -F'(s) = \boxed{\dfrac{4s}{(s^2-4)^2}}[/tex]

• (f)

[tex]\sin(t) \cos(t) = \dfrac12 \left(2\sin(t) \cos(t)\right) = \dfrac12 \sin(2t)[/tex]

with transform

[tex]F(s) = \dfrac12 \times \dfrac{2}{s^2+4} = \boxed{\dfrac1{s^2+4}}[/tex]

• (g)

[tex]\sin\left(t+\dfrac\pi4\right) = \sin(t) \cos\left(\dfrac\pi4\right) + \cos(t) \sin\left(\dfrac\pi4\right) = \dfrac1{\sqrt2} \left(\sin(t) + \cos(t)\right)[/tex]

with transform

[tex]F(s) = \dfrac1{\sqrt2} \left(\dfrac1{s^2+1} + \dfrac{s}{s^2+1}\right) = \boxed{\dfrac{s+1}{\sqrt2 (s^2+1)}}[/tex]

The last two are trivial and follow directly from the properties listed above.

• (h)

[tex]\cos(2t) - \cos(3t) \leftrightarrow \dfrac{s}{s^2+4} - \dfrac{s}{s^2+9} = \boxed{\dfrac{5s}{s^4 + 13s^2 + 36}}[/tex]

• (i)

[tex]\sin(2t) + \cos(4t) \leftrightarrow \dfrac2{s^2+4} + \dfrac{s}{s^2+16} = \boxed{\dfrac{s^3+2s^2+4s+32}{s^4+20s^2+64}}[/tex]

Answer:

[tex]area = \frac{1}{2} (base)(height) \\ area = \frac{1}{2} (35cm)(12cm) \\ area = \frac{1}{2} (420 {cm}^{2} ) \\ area = 210 \: {cm}^{2} [/tex]

The area of the triangle with height 12 cm and base 35 cm is A = 210 cm²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is AB = 35 cm

The height of the triangle is BC = 12 cm

And , the area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

Area of the triangle A = ( 1/2 ) x 12 x 35

Area of the triangle A = ( 6 x 35 )

Area of the triangle A = 210 cm²

Hence , the area of the triangle is 210 cm²

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[tex] \: \: \: [/tex]

[tex] \: \: \: [/tex]

[tex] \: \: \: [/tex]

The Value Of x Is 5.

Answer:

x = 5

Step-by-step explanation:

5x = 25

x = 25/5

x = 5

Hope it helps ⚜

Answer:

3 days

Step-by-step explanation:

Kali runs 10 laps around a track each day, and each lap is 400 meters. So, the first step would be:

10 • 400 = 4,000

That means Kali runs 4,000 meters each day.

Now, there are 1,000 meters in 1 kilometer. This means he runs 4 kilometers each day, and we're trying to get to 12 kilometers.

The final step is to divide. 12/4 = 3

So, it would take 3 days for him to run a total of 12 kilometers.

Answer:

Kali will run 3 days

Step-by-step explanation: took quiz

Answer:

A bell curve is a common type of distribution for a variable, also known as the normal distribution. The term "bell curve" originates from the fact that the graph used to depict a normal distribution consists of a symmetrical bell-shaped curve.

Step-by-step explanation:

My answer is the one above!

Please mark brainliest i need 2 more!

Answer:

It is called the normal distribution. Hope this help.

Answer:

here's your answer hope it helps.

Step-by-step explanation:

1. decimal:

39/50=0.78

2. percentage:

39/50=78%

9/50 to a decimal is 0.78 and a percent is 78%.

To convert fraction into decimal, divide the top of the fraction by the bottom number (39/50) here 39 is the top of the fraction and 50 is bottom of the fraction.

39/50 = 0.78

To convert fraction into percent, divide the top of the fraction by the bottom number then multiple the result by 100 here 39 is the top of the fraction and 50 is bottom of the fraction then multiple the result(0.78) by 100.

39/50 = 0.78 * 100 = 78.

Therefore, 39/50 to a decimal is  0.78 and a percent is 78%.

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Answer:

Number of visitors on Friday = 173

Number of visitors on Saturday = 346

Number of visitors on Sunday = 580

Step-by-step explanation:

Total number of visitors over 3 days = 1099

Let x = number of visitors on Friday

If there were twice as many visitors on Saturday than on Friday, then

⇒ number of visitors on Saturday = 2x

If there were 234 more visitors on Sunday than on Saturday, then

⇒ number of visitors on Sunday = 2x + 234

Create an expression for the total number of visitors and solve for x:

⇒ x + 2x + 2x + 234 = 1099

⇒ 5x + 234 = 1099

⇒ 5x = 865

⇒ x = 173

Substitute found value of x into the expressions for each day:

⇒ Number of visitors on Friday = 173

⇒ Number of visitors on Saturday = 2 x 173 = 346

⇒ Number of visitors on Sunday = (2 x 173) + 234 = 580

Answer:

0.8x - y = -1.8, x-int = 2.25, y-int = -1.8

Step-by-step explanation:

(-4, -5) and (1, -1)

slope = [(-5) - (-1)] / [(-4) - 1] = -4 / -5 = 4/5 = 0.8

Let y = 0.8 x + b

Sub (-4, -5) into it

-5 = 0.8 * (-4) + b = -3.2 + b

b = -5 + 3.2 = -1.8

The equation is y = 0.8x - 1.8

standard form: 0.8x - y = -1.8

let y = 0, 0.8x - 1.8 = 0

x = 1.8/0.8 = 2.25   (x-intercept)

let x = 0, y = -1.8    (y-intercept)

Answer: 2.48

Step-by-step explanation:

2.48+4.02=6.5

Answer:

25

Step-by-step explanation:

To find the mean, sum up the five data points and divide this sum by 5:

125

----- = 25

  5

The mean is 25.

Answer:I believe its this

Step-by-step explanation:

you can see the step by step in the attached image as well as the result

Rearranging the question,

SOLVE FOR Y IN TERMS OF X:

x - 2y = 4

Move 2y to the other side

x=2y+4

Move 4 to the other side and flip the equation

2y=x-4

Divide both sides by two:

-Hunter

Answer:

y = 1/2x - 2

(You need to rearrange x-2y=4)

Answer:

$ 3750  = truck rental;   $125 per ton of sugar transported

C is cost;  S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.  

This shows that for each increase by one ton of sugar, the cost goes up $125

Step-by-step explanation:

Answer:

77ft ?

Step-by-step explanation:

Step-by-step explanation:

[tex](x + y) {}^{2} - 1[/tex]

[tex](x + y - 1)(x + y + 1)[/tex]

Answer:

Yellow

Step-by-step explanation:

y= -f(x) reflects over the x-axis which is what this graph shows. When you complete the factor of

-(x+3)(x-1)

Use the FOIL method to solve

(First, Outer, Inner, last) This will equal to the

y= -x^2-2x+3 as shown in the yellow box

Answer:

The answer is below, y = 2x - 2

Step-by-step explanation:

2x - y > 2

-2x       -2x

-y > 2 - 2x

/-1     / -1

y < -2 + 2x, also written as y < 2x - 2

This is where we got our answer: y = 2x - 2

*There is an invisible 1 before the variable (y)*

*When dividing an inequality with a negative number, the sign flips (from < to >, or from ≤ to ≥)*

I'm going to share a little tip:

< or ≤ = below the line

> or ≥ = above the line

Hope that helps