All categories

2 years ago

2. Connor went to the carnival with S22.50. He bought a hot dog and a drink for $3.75, and he wanted to spend

Mathematics

1 answer:

igomit [66]2 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

What is 5.27 × 1021 expressed in standard notation?

Strike441 [17]

The standard notation would be 5,380.67. Hope this helps!<span />

5 0

3 years ago

Read 2 more answers

The ratio of adults to students on the field trip is 3 to 5. If there are 15 students on the field trip, how many adults are the

Kazeer [188]

Answer:

There are 9 adults

Step-by-step explanation:

3:5 = x:15

3/5 = x/15

3(15) = 5x

5x = 45

x = 9 adults

3:5 = 9:15

4 0

3 years ago

Find the total surface area of the cylinder shown. Leave the answer in terms of π. A cylinder with radius 4.25 inches and height

olga_2 [115]

Answer:

$87.125\pi in^{2} or 87\frac{1}{8}\pi in^{2}$

Step-by-step explanation:

Given Surface Area of Cylinder = $2\pi rh+2\pi r^{2}$ ,

and also given r = 4.25 inches and h = 6 inches.

Let's Substitute r and h into the formula to find the total surface area.

Surface Area of Cylinder = $2\pi (4.25)(6)+2\pi (4.25)^{2} \\=51\pi +36.125\pi \\=87.125\pi in^{2} or 87\frac{1}{8} \pi in^{2}$

5 0

2 years ago

Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb

Umnica [9.8K]

Answer:

It would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.

Since

$z = ax^2 + by^2$

For this case, the gradient of your function would be

$\nabla z = (2ax , 2by)$

And -1 times the gradient of your function would be

$-\nabla z = (-2ax , -2by)\\$

Then, at

$(1,1,a+b),\\x = 1 \\y = 1$

So it would go towards

$v = (-2a,-2b)$

The magnitud of that vector is

$|v| = 2\sqrt{a^2+b^2}$

and to conclude it would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

6 0

3 years ago

Compare the sets of numbers given and place them in the correct column or incorrect column.

TEA [102]

Answer:

I think the answer is option 3

3 0

3 years ago