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3 years ago

How do you solve this?

Mathematics

1 answer:

Pepsi [2]3 years ago

3 0

From symmetry of sin(x) about pi/2, we know that sin(x)=sin(pi-x).
Therefore
sin(x)+sin(pi-x)=sin(x)+sin(x)=2sin(x).

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a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is

OLga [1]

Answer:

The common ratio is 1.2.

After 12 weeks the plant will be 4.46 meters long.

After one year the plant will be 6,552.32 meters long.

Step-by-step explanation:

Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:

0.50 x 1.2 ^ X = Y

Therefore, the common ratio is 1.2.

0.50 x 1.2 ^ 12 = Y

0.50 x 8.916 = Y

4.4580 = Y

Therefore, after 12 weeks the plant will be 4.46 meters long.

0.50 x 1.2 ^ 52 = Y

0.50 x 13,104.63 = Y

6,552.32 = Y

Therefore, after one year the plant will be 6,552.32 meters long.

5 0

2 years ago

Each batch of cupcakes requires 1/4 cups of milk. If emony has 4 1/8 cups of milk, how many cupcakes can he make?

statuscvo [17]

16 1/2

1/4 of milk is required to make a cupcake. 4x4 would equal 16. the 1/8 is half od whats required to make a cupcake. So you can make 16 1/2 cupcakes.

3 0

2 years ago

Read 2 more answers

What is the y intercept of the quadratic function f(x)=x^2+x-6

saveliy_v [14]

Answer:

$(0,\, -6)$ .

Step-by-step explanation:

On a cartesian plane, the $y$ -intercept of a function is the point where the graph of that function intersects with the $y\!$ -axis.

The $y$ -axis of a cartesian plane is the same as the equation $x = 0$ (that is, the collection of all points with an $x$ -coordinate of $0$ .)

Construct a system of two equations, with one equation representing $y$ -axis and $y = f(x)$ to represent the graph of this function:

$\begin{aligned}\begin{cases} y = x^{2} + x - 6 & \text{for the quadratic function} \\ x = 0 & \text{for the $y$-axis}\end{cases}\end{aligned}$ .

Solve this system for $x$ and for $y$ . If a solution exists, then the $y\!$ -axis and the graph of $y = f(x)$ would indeed intersect. The point $(x,\, y)$ would be the intersection of the $y\!\!$ -axis and the graph of $y = f(x)\!$ .

Substitute the second equation of the system into the first.

$\begin{aligned}\begin{cases} x = 0 \\ y = -6\end{cases}\end{aligned}$ .

Hence, the intersection of the $y$ -axis and the graph of $y = f(x)$ would be $(0,\, -6)$ . By definition, this point would be the $y\!$ -intercept of $y = f(x)\!$ .

4 0

2 years ago

If you roll a number cube 22 times about how many times do you expect to roll a numeber Less than 4?

frozen [14]

Answer:

About 7 times

Step-by-step explanation:

8 0

2 years ago

If (-3, y) lies on the graph of y = 3-x, then y = 1/27 -27 27

Vilka [71]

Answer:

y = 6

Step-by-step explanation:

[] We can plug in our x value of -3, from the coordinate point, and solve for y.

y = 3 - x

y = 3 - (-3)

y = 3 + 3

y = 6

[] We can also graph the equation, and find the point where x = -3

-> See attached

I do not see this option in the answers you have provided, so either I miss interpreted something, or something else got messed up.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

6 0

2 years ago