Find one value of x that is a solution to the equation: (x²+4)²-11(x²+4)+24=0 x=?

Consider a game in which you flip a coin. If it comes up heads, you earn 1 point; if it comes up tails, you earn 0 points. What

Sergeeva-Olga [200]

Answer:

C. 0.5

Step-by-step explanation:

Since a coin has 2 sides and there is the same probability of getting either side, then each side has a 50% or 0.5 probability. Therefore, in order to calculate the expected value of one coin flip we need to multiply the value of each side by its probability and add those values together like so...

1 * 0.5 = 0.5

0 * 0.5 = 0

Now we add these values together...

0.5 + 0 = 0.5

Finally, we can see that the expected value of one coin flip is 0.5

4 0

3 years ago

Stephanie went to the shoe store and bought two pairs of flip-flops one pair was 19.95 and the other was 23.55 if she had $50.00

Levart [38]

Answer:

$6.9

Step-by-step explanation:

23.55 + 19.95 = 43.1 (total amount spent)

She had $50 and she spent $43.1 on shoes

50 - 43.1 = 6.9

= $6.9

7 0

3 years ago

I don’t understand helpppppooppoppppp

liraira [26]

Answer:

length is 20 and the width is 5

Step-by-step explanation:

so Area is 100

Area = width * length

legth = 4 * width

This means:

Area = width * 4 width => Area = 5 * width

We know that area is 100 so:

100 = 5 * width

that means width = 20, but wait didn't I say that the length is 20? Yes, remember we said length = 4 * width at the beginning, so length = 20.

Now we can easily calculate width as width is 4 times smaller than length, so:

width = 20/4 => 5

We can also test if this is correct by simply using the formula to calculate rectangle. So 5 * 20 = 100, correct!

7 0

3 years ago

Find the volume and surface area of a sphere with radius 1 yards. Round your answer to two decimal places.

olga55 [171]

Answer:

Volume of the sphere up to two decimal places= $4.19$ cubic yards

Surface area of the sphere up to two decimal places $=12.56$ square yards

Step-by-step explanation:

Given:

The radius of the sphere= 1 yard

Volume of a Sphere:

$\frac{4}{3}* \pi *r^3$ : $\pi =\frac{22}{7} =3.14$

$=\frac{4}{3}*3.14*1*1*1$

$=4.187$ cubic yards

Volume of the sphere up to two decimal places= $4.19$ cubic yards

Surface area of the sphere= $4*\pi* r^2$

$=4*3.14*1*1$

Surface area of the sphere up to two decimal places $=12.56$ square yards

8 0

3 years ago

A tank is filled at a constant rate. 10 minutes after filling is started, the tank contains 4.8L of water. After 35 minutes the

Mashcka [7]

Answer:

Part A)

0.1 liters per minute.

Part B)

There was initially 3.8 liters of water.

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

Part C)

562 minutes.

Step-by-step explanation:

A tank is filled at a constant rate. After 10 minutes, the tank contains 4.8 L of water and after 35 minutes, the tank contains 7.3 L of water.

Part A)

We can represent the current data with two points: (10, 4.8) and (35, 7.3). The x-coordinate is measured in minutes since the tank began to be filled and the y-coordinate is measured in how full the tank is in liters.

To find the rate at which the tank is being filled, find the slope between the two points:

$\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(7.3)-(4.8)}{(35)-(10)} = \frac{2.5}{25} = 0.1$

In other words, the rate at which the tank is being filled is 0.1 liters per minute.

Part B)

To find the function of the volume of the tank, we can use the point-slope form to first find its equation:

$\displaystyle y - y_1 = m( x - x_1)$

Where m is the slope/rate of change and (x₁, y₁) is a point.

We will substitute 0.1 for m and let (10, 4.8) be the point. Hence:

$\displaystyle y - (4.8) = 0.1(x - 10)$

Simplify:

$\displaystyle y = 0.1(x-10) + 4.8$

Since y represent how full the tank is and x represent the time in minutes since the tank began to be filled, we can substitute y for V(t) and x for t. Thus, our function is:

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

The initial volume is when t = 0. Evaluate:

$\displaystyle V(0) = 0.1 ((0) - 10) + 4.8 = 3.8$

There was initially 3.8 liters of water.

Part C)

To find how long it will take for the tank to be completely filled given its maximum capacity of 60 liters, we can let V(t) = 60 and solve for t. Hence:

$60 = 0.1(t - 10) + 4.8$

Subtract:

$55.2 = 0.1(t - 10)$

Divide:

$552 = t - 10$

Add. Therefore:

$t = 562\text{ minutes}$

It will take 562 minutes for the tank to be completely filled.

8 0

3 years ago