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2 years ago

Write an equation of the line in slope-intercept form given the graph below.

Mathematics

1 answer:

Elza [17]2 years ago

4 0

Answer:

y=-1/3x-1

Step-by-step explanation:

1. Find the slope.

Start from the point on the y-axis and count down and over until you get to the other point marked on the graph. This gets you -1/3

Slope is -1/3

2. Find where the line crosses the y-axis. This is the y-intercept. On this graph, the line crosses the y-axis at (0,-1). The y-value is the intercept.

3. Put the equation in slope-intercept form. Slope intercept form is y=mx+b with mx being the slope and b being the y-intercept.

y=-1/3x-1

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Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7\text{ ft}10.7 ft and the height of the

Airida [17]

Answer:

$V=23.37\ ft^3$

Step-by-step explanation:

Given that,

The perimeter of the base of pyramid, P = 10.7 ft

The height of the pyramid, h = 9.8 ft

We need to find the volume of the pyramid.

The perimeter of square is given by :

4s = 10.7, s is side

s = 2.675 ft

Now the volume of pyramid is given by :

$V=\dfrac{lbh}{3}\\\\=\dfrac{2.675^2\times 9.8}{3}\\\\V=23.37\ ft^3$

So, the volume of the pyramid is equal to $23.37\ ft^3$ .

4 0

3 years ago

Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54

Lelu [443]

Answer: Light bulbs.

Step-by-step explanation:

Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.

Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.

Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.

Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.

4 0

2 years ago

The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

2 years ago

Write 0.15151515 as a fraction

leonid [27]

Answer:

5/33

Step-by-step explanation:

4 0

3 years ago

Please help asap! thx

vovikov84 [41]

Answer:

y = 0

Step-by-step explanation:

The given sinusoidal equation is $y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right)$

The general form of the sin function is presented as follows;

y = A·sin(B·(x - C)) + D

Where;

A = The amplitude

The period, T = 2·π/B

The frequency, f = B/2·π

C = The horizontal shift

D = The vertical shift

By comparison with the given sine function, we have;

The amplitude, A = 2

The frequency, f = B/2·π = π/2/(2·π) = 1/4

The frequency, f = 1/4 Hz

C = The horizontal shift = 3/(π/2) = 6/π

The vertical shift, D = 0

Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, $y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right)$ , is therefore, the line;

y = 0.

3 0

2 years ago