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3 years ago

What is the y-intercept of f(x)=(1/4)^x A. (1,0) B. (1 1/14) C. (0,0) D. (0,1)

Mathematics

1 answer:

evablogger [386]3 years ago

6 0

Answer:

Step-by-step explanation:

firstly,y-intercept, x=0,A and b wrong

sub x=0

0.25⁰=1

(0,1)

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How do i solve for this?

Firdavs [7]

9514 1404 393

Answer:

97.42 square units

Step-by-step explanation:

The area of a sector is given by ...

A = (1/2)r²θ

where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.

75° = (75°)×(π/180°) radians = (5/12)π radians

Then the area is ...

A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units

Equivalently, you can find the area of the circle in the usual way:

A = πr² = π(12.2²) ≈ 467.59465

Then, multiply by the fraction of the circle that is shaded (75°/360°)

sector area = (467.59465)(75/360) = 94.42 . . . square units

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3 years ago

A bucket is leaking. After 3 hours the bucket has leaked 3/4 of an ounce. How many ounces per hour is the bucket leaking?

Bogdan [553]

The bucket leaks 1/4 ounce per hour. Because the numerator is 3 and it took 3 hours, you can give 1/4 to every hour (3/4 divided by 3).

6 0

2 years ago

Ashton picked 6pounds of pecans.he wants to share the pecans equally among 5 of his neighbors.how many pounds of pecans will eac

jenyasd209 [6]

Each neighbor would get 1.2 pounds a piece

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3 years ago

3x^2-5x-7 find the sum and product

Bad White [126]

Answer:

$s = \frac{5}{3}$

$p = \frac{7}{3}$

Step-by-step explanation:

for this equation

a=3

b= -5

c = -7

The sum of equal to

$- \frac{b}{a}$

and the product is equal to

$\frac{c}{a}$

. All you do is replace the values. You can prove both of those using the quadratic formula.

3 0

3 years ago

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in

Rainbow [258]

Answer:

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$ $\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}$

Generally the echelon reduction is mathematically applied as

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -2 times the 1st row to the 2nd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}$

Multiply the 2nd row by -1/8

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -1 times the 2nd row to the 3rd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}$

Multiply the 3rd row by -8/41

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

$\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -3 times the 2nd row to the 1st row

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

3 0

2 years ago