All categories

2 years ago

Help plz, no links.

Mathematics

1 answer:

Oksanka [162]2 years ago

7 0

Answer:

1) g = -8 (one solution)

2) b = 0 (infinitely many solutions)

3) w = 5/6 (one solution)

4) c = 0 (infinitely many solutions)

Step-by-step explanation:

1) 1/2g -4 = 2g - 1/2g + 4

1/2g -2g +1/2 g = 8

-g = 8

2) 5.3-5.3 = 2.1b + b - 3.1b

0=0

3) 3/4w+ 3/4w = 10/4 - 5/4

3/2w = 5/4

w = (5/4) / (3/2)

w = 5/6

4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5

0 = 0

You might be interested in

A laptop is marked down 15%. The original price is $749. How much is the discount?

Alexxx [7]

112.35 dollar is the discount

8 0

3 years ago

Read 2 more answers

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0

3 years ago

Is this true or false?

Degger [83]

Step-by-step explanation:

false

........... ..

.....

3 0

2 years ago

Find the surface area of the cylinder. Use 3.14 for pi . a hay bale with a diameter of 30 inches and a height of 72 inches about

valentina_108 [34]

Surface Area of cylinder = 8195.4 inches^2

Step-by-step explanation:

we are given:

Diameter of cylinder = 30 inches

Height of cylinder = 72 inches

We need to find:

Surface area of cylinder = ?

The formula used is:

$Surface\,\,Area=2\pi rh+2\pi r^2$

We know radius = diameter/2

so, radius = 30/2 = 15 inches

putting values:

$Surface\,\,Area=2\pi rh+2\pi r^2\\Surface\,\,Area=2*3.14*15*72+2*3.14*(15)^2\\Surface\,\,Area=6782.4+1413\\Surface\,\,Area=8195.4$

So, Surface Area of cylinder = 8195.4 inches^2

Keywords: Surface Area of cylinder

Learn more about Surface Area of cylinder at:

#learnwithBrainly

7 0

3 years ago

Which table represents a proportional relationship?

Lena [83]

9514 1404 393

Answer:

Step-by-step explanation:

The table that has a constant ratio between y and x values is the one that represents a proportional relationship.

A) 2/4 ≠ 4/16

B) 1/1 ≠ 4/16

C) 6/8 = 12/16 = 18/24 = 30/40, a proportional relationship

4 0

3 years ago