Which point shows the maximum speed of the car?

Answer:

(a) [tex]y = \frac{4}{x^2}[/tex]

(b) [tex]x = \frac{2}{5}[/tex]

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

[tex]y\ \alpha\ \frac{1}{x^2}[/tex]

See attachment for table

Solving (a):

First convert variation to equation

[tex]y = k\frac{1}{x^2}[/tex]

From the table:

[tex](x,y) = (1,4)[/tex]

So, we have:

[tex]4 = k * \frac{1}{1^2}[/tex]

[tex]4 = k * \frac{1}{1}[/tex]

[tex]4 = k * 1[/tex]

[tex]4 = k[/tex]

[tex]k = 4[/tex]

Substitute 4 for k in [tex]y = k\frac{1}{x^2}[/tex]

[tex]y = 4 * \frac{1}{x^2}[/tex]

[tex]y = \frac{4}{x^2}[/tex]

Solving (b): x when y = 25.

Substitute 25 for y in [tex]y = \frac{4}{x^2}[/tex]

[tex]25 = \frac{4}{x^2}[/tex]

Cross Multiply

[tex]25 * x^2 = 4[/tex]

Divide through by 25

[tex]x^2 = \frac{4}{25}[/tex]

Take positive square roots of both sides

[tex]x = \sqrt{\frac{4}{25}[/tex]

[tex]x = \frac{2}{5}[/tex]

Answer:

1) 7 x (6+y)

2)(  y x 6) + (y x 7)

3) 6(y+7)

4) (y x 6) + y^2

I hope im right !

Step-by-step explanation:

( 7 * 6 ) + ( 7 * y) ➡ 7 (6 +y)

y(6 + 7) ➡ ( y * 6 ) + ( y * 7)

( 6 * y) + ( 6 * 7) ➡ 6 ( y + 7)

y( 6 + y) ➡ ( y * 6 ) + y²

Hope it will help :)

Answer:

Step-by-step explanation:

If 10-22 means 10⁻²², you need to use a ^ to indicate the exponent: 10^(-22)

(7×10⁻²¹)/(7.6×10⁻²²) = (7×10⁻²¹)/(0.76×10⁻²¹) = 7/0.76 ≅ 9.2

Answer:

1508.6 steps

Step-by-step explanation:

one mile = 5280 feet

42 inches = 3.5 feet

5280 / 3.5 = 1508.57

Answer:

10

Step-by-step explanation:

275 - (75*3). This is the money he has left.

Divide that by 5 to get 10 mouthguards.

Answer:

10

Step-by-step explanation:

3 times 75=225 275-225=50 50/5=10

9514 1404 393

Answer:

  (b)  540 boxes

Step-by-step explanation:

The 28 foot depth of the trailer will accommodate 18 boxes (leaving 1 ft unfilled).

The 8 1/2 foot width of the trailer will accommodate 5 boxes (leaving 1 ft unfilled).

The 9 1/6 foot height of the trailer will accommodate 6 boxes (leaving 1/6 ft unfilled).

The collection of boxes filling the trailer is 18 deep, 5 wide, and 6 high, for a total of ...

  18 × 5 × 6 = 540 boxes

_____

In each case, the number of boxes that will fit is the dimension divided by the dimension of the box. The result is the integer part of the quotient. For example, ...

  (28 ft)/(3/2 ft/box) = 56/3 box = 18 2/3 box . . . 18 boxes will fit

Answer:

Step-by-step explanation:

Domain - Set of x-values

Range - Set of y-values

3). Since, x values vary from x = -6 to x = 5,

    Domain of the graph = [-6, 5]

    Since, y-values vary from y = -2 to y = 3

    Range of the graph = [-2, 3]

4). Domain of the graph = [-3, 3]

    Range of the graph = [-6, 5]

5). Domain of the graph = (-∞, ∞)

    Range of the graph = (-∞, ∞)

6). Domain of the graph = (-∞, 4]

    Range of the graph = (-∞, ∞)

7). Domain of the graph = (-∞, ∞)

    Range of the graph = [-1, 5]

8) Domain of the graph = [-1, 5)

    Range of the graph = [-3, 3)

Answer:

Step-by-step explanation:

Answer: 0.0208

Step-by-step explanation:

Given: The length of time to find a parking spot on the UW campus is normally distributed with a mean of 4.75 minutes and a standard deviation of 1.35 minutes.

Let x = time taken to find parking spot

The probability that a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus will be :

[tex]P(x<2)=P(\dfrac{x-\mu}{\sigma}<\dfrac{2-4.75}{1.35})\\\\=P(Z<-2.037)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<2.037)\\\\=1- 0.9792=0.0208\ \ \ \text{[By p-value table]}[/tex]

Hence, the probability than a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus.= 0.0208

Answer:

Triangle Area = ½ × b × h b = base h = vertical height

Rectangle Area = w × h w = width h = height

Parallelogram Area = b × h b = base h = vertical height

Step-by-step explanation:

:)

Answer:

area

triangle = 1/2 x base x height

rectangle = base x height

parallelogram = base x height

Step-by-step explanation:

Answer:

-5/2+-2

Step-by-step explanation:

Answer:

$1.50 is 105 Naira

Step-by-step explanation:

If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...

1.5 x 70 = 105 (Naira)

Answer:

105 Naira

Step-by-step explanation:

Please see the attached image.

I hope this helps!

Answer:x=-5/11

Step-by-step explanation:

2x+2+20x=−8

Step 1: Simplify both sides of the equation.

2x+2+20x=−8

(2x+20x)+(2)=−8(Combine Like Terms)

22x+2=−8

22x+2=−8

Step 2: Subtract 2 from both sides.

22x+2−2=−8−2

22x=−10

Step 3: Divide both sides by 22.

22x/22=-10/22

Question unclear

Step-by-step explanation:

If it is a trapezoid, you can simply find the average of the two base lengths, but I can't help much without seeing the shape.  Please add a picture of the shape.

Answer:

If it is a trapezoid, you can simply find the average of the two base lengths, but I can't help much without seeing the shape.  Please add a picture of the shape.

Step-by-step explanation:

9514 1404 393

Answer:

  2/5

Step-by-step explanation:

Put the numbers in the equations and do the arithmetic.

  f(-3) = (-3)² +5(-3) = 9 -15 = -6

  g(-3) = 4(-3) -3 = -12 -3 = -15

Then the composition is ...

  (f/g)(-3) = f(-3)/g(-3) = -6/-15

  (f/g)(-3) = 2/5

Answer

112

Step-by-step explanation:

Answer: false

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Given the following mathematical expression;

6² + x - x²

When x = 3

Thus, we would substitute the value of "x" into the expression;

36 + 3 - (3)²

Applying BODMAS (Bracket of Division, Multiplication, Addition and Subtraction).

36 + 3 - 9

39 - 9

30.

Answer:

The answer is x = 3 and y = -1

Step-by-step explanation:

If you were to graph the two lines, their equations would be y = x - 4 and y = -x + 2. The two lines intersect at the point (3, -1), so the solution to the system is x = 3 and y = -1.

Answer:

Length of the person = 1.9 m

Step-by-step explanation:

Actual length of the lorry = 9.5 m

Length of the lorry as per scale = 10 cm

Scale factor used to get the actual length of the lorry = [tex]\frac{\text{Actual length}}{\text{Length on scale}}[/tex]

                                                                                         = [tex]\frac{9.5}{10}[/tex]

                                                                                         = 0.95 : 1

Let the actual length of the person = x meters

Length of the person as per scale = 2 cm

Scale factor used to get the length of person is same.

Therefore, relation between the actual length of the person and scale length will be,

[tex]\frac{x}{2}= \frac{0.95}{1}[/tex]

x = 2 × 0.95

x = 1.9 meters

Answer:

85%

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

What I would do is how much she would score if the test was a 25 question test. She would have scored 21.33. Now add this to her current score. 64+21.33 = 85.33. The rounded answer is 85.

Answer: 4/7

Step-by-step explanation: Multiply each equation by the value that makes the coefficients of

y

opposite.

5

x

+

2

y

=

7

(

2

)

⋅

(

3

x

−

y

)

=

(

2

)

(

13

)

Simplify.

Tap for more steps...

5

x

+

2

y

=

7

6

x

−

2

y

=

26

Add the two equations together to eliminate

y

from the system.

5

x

+

2

y

=

7

+

6

x

−

2

y

=

2

6

1

1

x

=

3

3

Divide each term by

11

and simplify.

Tap for more steps...

x

=

3

Substitute the value found for

x

into one of the original equations, then solve for

y

.

Tap for more steps...

y

=

−

4

The solution to the independent system of equations can be represented as a point.

(

3

,

−

4

)

The result can be shown in multiple forms.

Point Form:

(

3

,

−

4

)

Equation Form:

x

=

3

,

y

=

−

4

Answer:

A find a 95% confidence interval for p1 and p2

Step-by-step explanation:

The answer is 1)

Answer:

The relationship between the two sets A and B if A ⊆ B is A is subset of B

Step-by-step explanation:

A = {1,2,3,4,5}

B = {1,2,3,4,5,6,7,8}

All Elements of set A {1,2,3,4,5} are present in set B  

we relate set A and set B as A ⊆ B,which means set A is subset of set B. Symbol “⊆” is used to denote subset  

So set A is subset of set B (A ⊆ B)  

Answer:

Y>2x-4

B

Have a great day, hope this helps

Answer:

The answer is -3x + 3

Answer:

∠U = 26°

∠V = 35°

∠W = 119°

Step-by-step explanation:

Given:

∠U = (x+9)°

∠V = (2x+1)°

∠W = (7x)°

Find:

Value of each angle

Computation:

Using angle sum property

∠U + ∠V + ∠W = 180°

(x+9)° + (2x+1)° + (7x)° = 180°

10x + 10 = 180

x = 17

So,

∠U = (x+9)° = 17 + 9 = 26°

∠V = (2x+1)° = 34 + 1 = 35°

∠W = (7x)° = 7 x 17 = 119°

Answer:

18 students have been told the title of the next play

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6 times 6 plus 6

Answer:

55 minutes

Step-by-step explanation:

The amount of time that is needed to pass to change 6:30 into 7:05 is 35 minutes. The amount of time that is needed to pass to change 3:55 to 4:15 is 20 minutes. If you add the time Joe practiced on Monday and Tuesday altogether it's 55 minutes.

Hope I could help! :)