Help With my Math Question Will Give Brainest answer!!!

Write an equation to express the value of h+k

bonufazy [111]

When written in "vertex form":
• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).

• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).

• notice that the h value is subtracted in this form, and that the k value is added.
If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.
If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.

3 0

3 years ago

Find the volume of the sphere. express your answer in term of Pie

IceJOKER [234]

Answer:

$\large\boxed{36\pi}$

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

R - radius

We have R = 3 ?. Substitute

$V=\dfrac{4}{3}\pi(3^3)=\dfrac{4}{3}\pi(27)=(4)\pi(9)=36\pi$

If the radius is 30, then the volume is:

$V=\dfrac{4}{3}\pi(30^3)=\dfrac{4}{3}\pi(27,000)=(4)\pi(9,000)=36,000\pi$

If 30 is the length of diameter, then the radius R = 30 : 2 = 15.

Therefore the volume:

$V=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3,375)=(4)\pi(1,125)=4,500\pi$

3 0

3 years ago

Caleb purchases 5 beach towels for d dollars each. Each towel is charged an additional 6% sales tax.

Assoli18 [71]

The correct expressions are:
5.3d
5d+0.3d
5(d+0.06d)

Since he is purchasing 5 towels that have a cost of d dollars each, the cost of the towels is given by 5d.

However, to add 6% tax, we multiply this by 0.06 and add it to the price without tax:
5d+0.06(5d)

Simplifying this, we have 5d+0.3d = 5.3d.

All of the correct answers simplify to this expression.

6 0

3 years ago

3 ⅕ -⅔ divided by 2 ⅘

spin [16.1K]

Answer:

160/196

Step-by-step explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

$\frac{14}{5} - \frac{2}{3}$ : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

$\frac{32}{14}$ multiplied by $\frac{5}{14}$

thus, answer is 160/196

8 0

3 years ago

Determine whether the improper integral converges or diverges, and find the value of each that converges.

kiruha [24]

Answer:

Diverges

Step-by-step explanation:

For the improper integral to converge the limit must exist, if the limit does not exist or is infinite the integral diverges;

$\int\limits^a_b {(2x+4)/x^2+4x+5} \, dx$ #

Where a and be is infinity

The solution of this is infinity and therefore the integral diverges because the first expression is undefined because ∞/∞, the second term is 4·∞ which is infinity and infinity added to any number is infinity

3 0

3 years ago