My nephew, Oliver, got a new Lego set. He has decided to build it with his friend, Josie. It took them 6 hours to build together. If Oliver is half as fast as Josie, how long would it take Josie to build this Lego set alone?

Answer:

7 = The y-intercept of the exponential function

1 = The y-intercept of the linear function

2 = The number of points of intersection

5 = The y-value of the solution in Quadrant I

Tell me if i'm wrong

Answer:

slope = 20

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (10, 200) ← 2 points on the line

m = [tex]\frac{200-0}{10-0}[/tex] = [tex]\frac{200}{10}[/tex] = 20

Answer:

Yes, he has enough pieces to wrap the present

Step-by-step explanation:

Given

[tex]Presents = 7[/tex]

[tex]Cuts = 6[/tex]

Required

Is there enough pieces to wrap all presents

As a general rule;

When a piece is cut in 1 place, you get 2 pieces

When a piece is cut in 2 places, you get 3 pieces

When a piece is cut in 3 place, you get 4 pieces

This implies that:

n cuts gives n + 1 pieces

i.e.

[tex]n \to n + 1[/tex]

So, we have:

[tex]6\ cuts \to (6 + 1) pieces[/tex]

[tex]6\ cuts \to 7\ pieces[/tex]

Hence, there are enough pieces.

Answer:

Smallest perimeter setup is (6 by 6 rectangle)

Step-by-step explanation:

Given:

Total number of tile = 36

Find:

Smallest perimeter setup

Computation:

Perimeter = 2(a + b)

So,

Perimeter if (4 by 9 rectangle )

Perimeter if (4 by 9 rectangle ) = 2[4+9]

Perimeter if (4 by 9 rectangle ) = 2[13]

Perimeter if (4 by 9 rectangle ) = 26

Perimeter if (3 by 12 rectangle )

Perimeter if (3 by 12 rectangle ) = 2[3+12]

Perimeter if (3 by 12 rectangle ) = 2[15]

Perimeter if (3 by 12 rectangle ) = 30

Perimeter if (1 by 36 rectangle )

Perimeter if (1 by 36 rectangle ) = 2[1+36]

Perimeter if (1 by 36 rectangle ) = 2[37]

Perimeter if (1 by 36 rectangle ) = 74

Perimeter if (6 by 6 rectangle )

Perimeter if (6 by 6 rectangle ) = 2[6+6]

Perimeter if (6 by 6 rectangle ) = 2[12]

Perimeter if (6 by 6 rectangle ) = 24

So,

Smallest perimeter setup is (6 by 6 rectangle)

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

C, -7+12

Step-by-step explanation:

-7--12= 5

-7--12 can also be -7+12

Answer:

The answer is c

Step-by-step explanation:

-7-(-12) = 5

Answer:

74.1

Step-by-step explanation:

74.05 rounds to 74.1

Answer:

18 cm

Step-by-step explanation:

Let X represent a square

For it to be a rectangle, needs to be:

X X X

X X X

X X X

(It's a giant square made of squares)

This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.

For Example:

X X X X

X X X X X

It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.

So if the length is 18cm, the width is also 18cm.

Answer:

Step-by-step explanation:

Is their suppposed to be a pic

Answer:

..........

Step-by-step explanation:

Given:

The height of the ladder = 15 m

When the ladder leans at point B from the ground level, then it makes an angle  of 52° with the horizontal

When the ladder leans at point A from the ground level, then it makes an angle  of 85° with the horizontal

To find:

The distance between point A and point B is?

Solution:

To solve the above-given problem, we will use the following trigonometric ratio of a triangle:

Referring to the figure attached below, we will assume,

BD = AD = 15 m = height of the ladder

∠BDC = 52° = angle of elevation to the foot of the window

∠ADC = 85° = angle of elevation to the top of the window

Now,

In ΔBCD, we have

Opposite side = BC

Hypotenuse = BD = 15 m

θ = 52°

∴

and

In ΔACD, we have

Opposite side = AC

Hypotenuse = AD = 15 m

θ = 85°

∴

∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m

Thus, the distance between point A and point B is 3.12 m.

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Also View:

A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.

Answer:

659.4 inches

Step-by-step explanation:

C = 2*3.14*21

C = 131.88

131.88*5 = 659.4 inches

Answer:

3.006, 3.06, 3.4, 3.4051

Step-by-step explanation:

3.006 < 3.06 < 3.4 < 3.4051

Answer:

Something you do frequently or on a regular basis is known as a habit.

When he gets nervous, he has a cute habit of licking his lips. [includes]

...an investigation into the eating habits of people in the United Kingdom.

Step-by-step explanation:

Answer:

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

Step-by-step explanation:

Answer:

x = 11.25

Step-by-step explanation:

The sum of the angles is 90 degrees since it is a right angle

6x+2x = 90

8x = 90

Divide each side by 8

8x/8 =90/8

x =11.25

Answer:

A

Step-by-step explanation:

The distance between 0 and 4/6 is 4/6. This distance is repeted two times

so we have 4/6 + 4/6 or 2 x 4/6

Answer:3

Step-by-step explanation:

3-6*12

Answer:

Rs.27000

Step-by-step explanation:

60000 ÷ 2 = 30000 per year

30000 × [tex]\frac{10}{100}[/tex] = Rs. 3000

30000 - 3000 = Rs. 27000

Answer:

7x + 5

12x^2 + 20x

2

Step-by-step explanation:

1. (g + h)(x)

We can also write this as g(x) + h(x). Next we can substitute in the expressions for each function:

g(x) + h(x)

3x + 5 + 4x

7x + 5

2. (g * h)(x)

We can also write this as g(x) * h(x). Next we can substitute in the expressions for each function:

g(x) * h(x)

(3x + 5) * (4x)

We can distribute 4x to both terms:

3x * 4x + 5 * 4x

12x^2 + 20x

3. (g - h)(3)

We can also write this as g(3) - h(3). We can separately evaluate g(3) and h(3):

g(3) = 3(3) + 5

g(3) = 9 + 5

g(3) = 14

h(3) = 4(3)

h(3) = 12

Now, we can plug in these two values:

g(3) - h(3)

14 - 12

2

Answer:

y = 50x + 150

Step-by-step explanation:

The y-intercept is 150. b = 150

The slope is found using two points such as (2014, 450) and (2010, 250)

m = (450 - 250)/(2014 - 2010) = 200/4 = 50

y = mx + b

y = 50x + 150

Answer:

7

Step-by-step explanation:

you divide 140 by 20 & it gives you 7 i hope this helps ..

Answer:

-0.25n + 1

Step-by-step explanation:

Difference between all numbers: -0.25

Hence,

[tex]t_n = -0.25n + 1[/tex]

Feel free to mark it as brainliest :D

Answer:

x=6, y=5 1/3 or 5.3333

Step-by-step explanation:

Answer:

6,500,000

Step-by-step explanation:

Here, we first need to find all the possible selections for the code.

Then, we need to find the number of options for each one of these selections.

We have, 2 letters followed by 4 single digits.

There are 26 letters

There are 10 single digits.

For the first letter, we have 26 options.

For the second letter, we have 25 options (because one is already taken, and we can repeat that)

And for each one of the numbers, we have 10 options (we can repeat the numbers)

The total number of options for the code, is equal to the product of all the numbers of options for each selection, then the total number of possible plate numbers is:

C = 26*25*10*10*10*10 = 6,500,000

Answer:

5.89 feet.

Step-by-step explanation:

I just took the test :)

The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.

A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.

The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.

A Ferris wheel car moves from point C to point D on the circle.

Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.

The diameter is 15 feet.

The arc length is determined by using the formula

L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r

L = ( 45 / 360) * 2 * 3.14 * r

r =  diameter / 2

r = 15/2 = 7.5 ft

L =  ( 45 / 360) * 2 * 3.14 * 7.5)

L = 5.8875 ft

L = 5.89 feet.

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