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Answer:

a= - u+v÷t

Step-by-step explanation:

v=u+at

Step 1: Flip the equation.

at+u=v

Step 2: Add -u to both sides.

at+u+−u=v+−u

at=−u+v

Step 3: Divide both sides by t.

at÷t=−u+v÷t

a=−u+v÷t

v = u + at

Now lets rearrange with ' a ' as subject

v = u + at

v - u = at

a = (v - u)/t

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Answer:

7≤r≤12

Step-by-step explanation:

The domain is the values that the input takes

The input goes from 7 to 12

7≤r≤12

Answer: Choice B) [tex]7 \le r \le 12[/tex]

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

Explanation:

The domain is the set of allowed x inputs of a function.

How far to the left can we go on this red line? That would be x = 7.

How far to the right? That would be x = 12.

We can have x equal anything between 7 and 12, including both endpoints. We include the endpoints because they are filled in circles (as opposed to open holes).

So the domain is [tex]7 \le x \le 12[/tex]. If we replace x with r, then we update that inequality into [tex]7 \le r \le 12[/tex]. This replacement happens because r is along the horizontal x axis.

Answer:

c. 2

Step-by-step explanation:

 2 (3x – y = -2)               6x - 2y = -4

6x - 2y = -4

Answer:

I hope it help and I guess it is correct

Answer:

96

Step-by-step explanation:

Surface area=2*Area of triangle+Area of different rectangular strips

Surface area=2*(1/2)*(48)+2*8+2*6+2*10=48+48=96

Answer:

40% depreciation over the 4 years

10% depreciation per year

Step-by-step explanation:

The number of years between buying and selling is:

2020 - 2016 = 4

4 years

The amount of depreciation in the 4 years is:

AED 1,500 - AED 900 = AED 600

The percent depreciation for the 4 years is:

(1500 - 900)/1500 * 100% = 40%

The percent depreciation per year is:

40%/4 = 10%

Answer:

1/2

Step-by-step explanation:

9/16 is equal to 0.5625 . The closest number to this is 0.5 which is the same as 1/2

Answer:

(6.5,3.5)

Step-by-step explanation:

To find the x coordinates of the midpoint, average the x coordinates of the endpoints

(10+3)/2 = 13/2 = 6.5

To find the y coordinates of the midpoint, average the y coordinates of the endpoints

(6+1)/2 = 7/2 = 3.5

(6.5,3.5)

Answer:

Step-by-step explanation:

Your answer would be 80% or a B

Answer: True

Step-by-step explanation:

volume of a square pyramid = (1/3) · b² · h

Therefore, the volume would become:

[tex]\frac{1}{3}*1^{2}*2= \frac{1}{3}*1*2=\frac{1}{3}*2=\frac{2}{3}[/tex]

Answer:

Step-by-step explanation:

False

Answer:

a^2 - b^2 = (a-b)(a+b)

Step-by-step explanation:

x^2 -9

Rewriting as

x^2 - 3^2

We notice that this is the difference of squares

a^2 - b^2 = (a-b)(a+b)

x^2 - 3^2 = (x-3)(x+3)

Answer:

i dont know soory

Step-by-step explanation:

Answer:

Is answer 22 units sqaure ?

Answer:

6 m

Step-by-step explanation:

[tex]surface \: \: area = 4 {s}^{2} [/tex]

s is side

[tex]150 = 4 {s}^{2} \\ {s}^{2} = 37.5 \\ s = 6.1 \: m[/tex]

Answer:

3000000

Step-by-step explanation:

3 * 10^6

10^6 means  move the decimal point 6 places to the right

3.  becomes

3000000

Answer:

3000000

Step-by-step explanation:

3 x 10^6

3 x 10 x 10 x 10 x 10 x 10 x 10

3 x 1000000

3000000

Answer:

f(x)=-x when x belongs to (-infinity, 3)

f(x)=-2 when x belongs to [3, 6]

f(x)=2x-7 when x belongs to (6, infinity)

Answer:

18 , 34and 50 are multiples of 2

Step-by-step explanation:

2×9=18

17×2=34

25×2=50

Answer:

A,C,E

Step-by-step explanation:

A,9×2=18

C,17×2=34

E,25×2=50

Dan is Correct by concluding  that adults spend a mean of 3 hours each day doing leisure and sports activities. because [tex]3.08[/tex] hours or [tex]3.09[/tex] hours which are the mean time of sample A and B  is approximately equal to 3 hours

From the question we are told that:

Total Sample size [tex]n=500[/tex]

Dan's mean  [tex]\=x_D= 3hr[/tex]

Bret's mean   [tex]\=x_D= 4hr[/tex]

Generally, the  Total hours spent doing leisure and sports activities  is mathematically given by

For Sample A

[tex]T_a=(1*70)+(2*90)+(3*135)+(4*140)+(5*65)\\\\[/tex]

[tex]T_a=1540 hours[/tex]

For Sample B

[tex]T_b=(1*80)+(2*80)+(3*130)+(4*135)+(5*75)[/tex]

[tex]T_b=1545[/tex]

Therefore

Mean Time spent doing leisure and sports activities by an American Adult

For Sample A

[tex]T_A=\frac{T_a}{n}[/tex]

[tex]T_A=\frac{1540}{500}[/tex]

[tex]T_A=3.08[/tex] hours

[tex]T_A \approx 3[/tex] hours

For Sample B

[tex]T_A'=\frac{T_b}{n}[/tex]

[tex]T_A'=\frac{1545}{500}[/tex]

[tex]T_A'=3.09[/tex] hours

[tex]T_A' \approx 3[/tex] hours

In conclusion

Dan is Correct because [tex]3.08[/tex] or [tex]3.09[/tex] which are the mean time of sample A and B is approximately equal to [tex]3[/tex]

Learn More about this at

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Answer:

This question is mainly about pythagorean theorm as if we just analyse this question we see the information given to us are

Now it is said to find out the length of ladder as because the ladder is resting against the buiding so it will generally form an acute angle with the ground and as we can take the ladder to be as the hypotenuse of a right angled triangle in which the length of the perpendicular building forms one of the leg and the distance of the building from the point where the ladder is kept is said to be another leg

Now we get the measure of the vertical leg = height of the buiding = 11 ft

and another leg = distance in between the fence and the point on which the ladder is kept + the distance in between the fence and building

= (8+1)ft =9ft

Now we know hypotenuse = √base^2+√height^2

= √9^2+√11^2

= √81+√121

= √ 202

= 14.21 ft

Therefore the length of the ladder = 14.21 ft

Hope it helps you

The length of the ladder should be 11.1 feet long.

Let's denote the length of the ladder as L.

According to the given information:

The distance from the building to the fence = 1 ft.

The height of the window = 11 ft.

The distance from the ladder to the fence = 8 ft.

Using the Pythagorean theorem, we can set up the equation:

[tex]L^2 = (1^2) + (11^2)[/tex]

Simplifying:

[tex]L^2 = 1 + 121[/tex]

[tex]L^2 = 122[/tex]

Taking the square root of both sides:

[tex]L = \sqrt{122}[/tex]

[tex]L = 11.05 ft[/tex]

Therefore, the worker will need a ladder approximately 11.1 feet long.

To learn more on trigonometry click:

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Answer:

9 is a positive number and -10 is negative. Positive numbers are bigger than negative numbers so yes 9 is bigger than -10

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

here is how the numbers appear numerically

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Answer:

x=-17/5

Step-by-step explanation:

–5(–2x – 5) – 2 – 1= -12

+10x+25-2-1=-12

10x+22=-12

10x=-12-22

10x=-34

x=-34/10

x=-17/5

Step-by-step explanation:

Open the brackets

10x +25 -2 - 1= -12

Collect the like terms

10x = -12-25+2+1

10x = -34

Divide both sides by 10

Therefore,x = -34/10 = -3.4

Step-by-step explanation:

i) [tex]\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}[/tex]

[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3[/tex]

ii) [tex]m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6[/tex]

iii) [tex](\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)[/tex]

[tex]\:\:\:\:\:\:\:=(3,\:-2)[/tex]

Answer:

A' (-2,3)

B' (-1,1)

C' (-4,0)

Step-by-step explanation:

Given coordinates:

A (3,0)

B (4,-2)

C (1,-3)

We want to find the location of the coordinates after a translation of <-5,3>

Explanation of translation

<-5,3>

Subtract 5 from the x value and add 3 to the y value

Applying translation

A (3,0) ---------> (3-5,0+3) ---------> (-2,3)

B (4,-2) ---------> (4-5,-2+3) ---------> (-1,1)

C (1,-3) ---------> (1-5,-3+3) ---------> (-4,0)

So the new coordinates would be

A' (-2,3)

B' (-1,1)

C' (-4,0)

Answer:

The equation should be 8(x+3)

Answer:

a

Step-by-step explanation:

ABC = $425

Load = 0

Total Cost = $425

Sales Price = $850

Sales price ÷ total cost = 850/425

= 2%

DEF = $600

Load = $375

Total Cost = $975

Sales Price = $1200

Sales Price ÷ Total cost = 1200/975

= 1% (Nearest 1%)

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Answer:

c.) in the correct answer

Answer:

232.045

Step-by-step explanation:

217 + 253 + 214 + 247 + 217 + 253 + 232 + 246 + 223 + 227 + 229 + 247 + 206 + 241 + 239 + 223 + 222 + 216 + 252 + 209 + 236 + 256 = 5105

5105 / 22 = 232.045454545

9514 1404 393

Answer:

  perimeter ≈ 12.4 units

Step-by-step explanation:

The side adjacent to the angle is given. The relationships useful for the other two sides are ...

  Tan = Opposite/Adjacent

  Cos = Adjacent/Hypotenuse

From these, we have ...

  opposite = 5·tan(22°) ≈ 2.02

  hypotenuse = 5/cos(22°) ≈ 5.39

Then the perimeter is ...

  P = a + b + c = 2.02 + 5 + 5.39 = 12.41

The perimeter of ∆ABC is about 12.4 units.

Notice that

75.8 = 82.4 - 6.6 = 82.4 - 2 × 3.3

89 = 82.4 + 6.6 = 82.4 + 2 × 3.3

Then the percentage of students with scores between 75.8 and 89 make up the part of the distribution that lies within 2 standard deviations of the mean. The empirical (68-95-99.7) rule says that approximately 95% of any distribution lies within this range.

Answer:

b

Step-by-step explanation: