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3 years ago

Hayden brought 18 new trading cards. Three-fourths of the new cards are baseball cards. How many baseball cards did Hayden buy

1 answer:

7 0

He bought 36 baseball cards. Since 3/4 of the 48 cards are baseball cards, you need to find 75% of 48, which is 36 cards.

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ANSWER ASAP!!!!!!!!!!

kogti [31]

Answer:

1.1221500000*10^-10

Step-by-step explanation:

7.4810^3= 7,481

1.5×10^6= 1500000

7,481*1500000=11,221,500,000‬

11,221,500,000‬= 1.1221500000*10^-10

5 0

3 years ago

The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

kap26 [50]

Answer:

If $r >> h$ , the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

$A = \pi \cdot r^{2} + 2\pi\cdot s$

Where:

$r$ - Base radius of the cone, measured in inches.

$s$ - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

$s = \sqrt{r^{2}+h^{2}}$

Where $h$ is the altitude of the cone, measured in inches. If $r >> h$ , then:

$s \approx r$

And:

$A = \pi\cdot r^{2} +2\pi\cdot r$

Given that $A = 1885.7143\,in^{2}$ , the following second-order polynomial is obtained:

$\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0$

Roots can be found by the Quadratic Formula:

$r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}$

$r_{1,2} \approx -1\,in \pm 24.521\,in$

$r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in$

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0

2 years ago

D(x)=(x^2-12x+20)/(3x)

krok68 [10]

Answers:

Vertical asymptote: x = 0

Horizontal asymptote: None

Slant asymptote: (1/3)x - 4

Explanation:

d(x) = $\frac{x^{2}-12x+20}{3x}$

= $\frac{(x-2)(x - 10)}{3x}$

Discontinuities: (terms that cancel out from numerator and denominator):

Nothing cancels so there are NO discontinuities.

Vertical asymptote (denominator cannot equal zero):

3x ≠ 0

÷3 ÷3

x ≠ 0

So asymptote is to be drawn at x = 0

Horizontal asymptote (evaluate degree of numerator and denominator):

degree of numerator (2) > degree of denominator (1)

so there is NO horizontal asymptote but slant (oblique) must be calculated.

Slant (Oblique) Asymptote (divide numerator by denominator):

(1/3)x - 4
3x) x² - 12x + 20
x²
-12x
-12x
20 (stop! because there is no "x")

So, slant asymptote is to be drawn at (1/3)x - 4

6 0

3 years ago

A square has a side length of 9 feet. What is the area of the square

oee [108]

Answer:

Step-by-step explanation:

The area of a square is its side length squared so 9^2 is 81

4 0

3 years ago

Given the definitions of f(x) and g(x) below, find the value of (g o f)(0).

Mamont248 [21]

Answer:

its 3

so its

(4x+4)^2-2(4x+4)-5

so first you have to do

(4x+4)(4x+4)

the answer is 16x^2+32x+16

and then you do -2(4x+4) and then you add them so then its

16x^2+32x+16-8x-8-5

and then you just add like terms so its

16x^2+24x+3

and then you insert 0 for x

so the answer is 3

Step-by-step explanation:

7 0

3 years ago