1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jek_recluse [69]
2 years ago
5

Calculate the sales tax: 10% of 25.75

Mathematics
1 answer:
ivanzaharov [21]2 years ago
5 0

Answer: 103/40, or 2 23/40 or, 2.575

Step-by-step explanation:

You might be interested in
When cross canceling fractions, can you multiply vertically?
mr Goodwill [35]
I think the answer is no
3 0
3 years ago
17.
Marta_Voda [28]

Answer:

a) 50 meters

b) 2354 meters

c) 12 seconds

d) 24.13 seconds

Step-by-step explanation:

Hello!

<h3>a) How far is Lincoln above the ground when he shoots the gun?</h3>

We need to really understand what the variables represent in this question. Given that t is time, and h is height, the time at which he shoots the bullet will be 0, as the bullet hasn't started traveling yet. This means that we can solve for the original height of the bullet by plugging in 0 for time in the equation.

Equation: h = -16t^2 + 384t + 50

Plug in 0 for t:

  • h = -16t^2 + 384t + 50
  • h = -16(0)^2 + 384(0) + 50
  • h = 50

The height at which Lincoln shot the bullet is 50 meters.

We can also look at this graphically. The height of origin will simply be when the x-value (in this case t-value) is 0. That means it is the point at which the graph intersects the y-axis, known as the y-intercept.

Standard form of a Parabola: y = ax^2 + bx + c

The y-intercept is the "c" value.

Given our equation: h = -16t^2 + 384t + 50

The c-value is 50. This proves that the y-intercept is 50.

<h3 /><h3>b)How high does the bullet travel vertically relative to the ground?</h3>

We want to find the highest point of the graph. To do that, we can find the vertex.

We can utilize the Axis of Symmetry (AOS) to find the Vertex.

First, find the AOS using the formula: AOS = -\frac{b}{2a}

  • a = -16
  • b = 384

Plug it into the formula:

  • AOS = -\frac{b}{2a}
  • AOS = -\frac{384}{2(-16)}
  • AOS = \frac{384}{32}
  • AOS = 12

Plug in 12 for t in the equation:

  • h = -16t^2 + 384t + 50
  • h = -16(12)^2 + 384(12) + 50
  • h = -2304 + 4608 + 50
  • h = 2304+50
  • h = 2354

Therefore, the highest point of the bullet is 2354 meters.

<h3>c)How long does it take the bullet to reach its greatest height?</h3>

We answered this in the last question. The t-value when h is at its highest is 12.

<h3>d)After how many seconds (round to nearest 100th) does the bullet hit the ground?</h3>

We have to solve for the values of t when h is 0 (when it touches the ground).

Set the equation to 0, and solve using the quadratic formula.

Quadratic formula: x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}

  • x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}
  • x = \frac{-384\pm\sqrt{384^2 - 4(-16)(50)}}{2(-16)}
  • x = \frac{-384\pm\sqrt{147456 +3200}}{-32}
  • x = \frac{-384\pm\sqrt{150656}}{-32}
  • x = \frac{-384\pm388.14}{-32}
  • x = -\frac{4.14}{32}, x = \frac{772.14}{32}

We are only going to take the positive solution, as we can't have a negative time. The solution that doesn't work is called an extraneous solution.

  • x = \frac{772.14}{32}
  • x = 24.13

It takes approximately 24.13 seconds for the bullet to hit the ground.

6 0
2 years ago
HELP FAST!!!<br><br> Find 78% of 380. Round to the nearest tenth if necessary.
bonufazy [111]
78% = 78 / 100 = 0.78

What is 78% of 380

= 78% * 380

= 0.78 * 380

= 296.4

U said I should round it up IF NECESSARY so yeah....


5 0
3 years ago
Read 2 more answers
Write two different ratios equal to 6 : 18.
Naya [18.7K]
8:24 9:27 are some equal solutions. 
8 0
3 years ago
two verticies of paralellogram ABCD are A(-6,-1) and B(-5,3). The intersection of the diagonals, E, are (-2, 1/2). Determine the
masya89 [10]

Answer:

D(2,2)

Step-by-step explanation:

The diagonals of a parallelogram gram bisects each other.

Therefore E is the midpoint of AD.

Let the coordinates of D be (a,b).

By the midpoint rule:

( \frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}) = ( - 2, \frac{1}{2} )

This implies that:

( \frac{ - 6+a}{2} ,\frac{ - 1+b}{2}) = ( - 2, \frac{1}{2} )

This implies that:

( \frac{ - 6+a}{2} =  - 2 ,\frac{ - 1+b}{2} =  \frac{1}{2} )

( - 6+a =- 4 , - 1+b = 1 )  \\ ( a =- 4 + 6 , b = 1 + 1 )  \\ ( a =2 , b =2 )

7 0
3 years ago
Other questions:
  • Please answer QUestion <br><br> L
    5·1 answer
  • When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% percent of its normal value. What is a
    5·2 answers
  • a rectangle pool has an area of 880ft the length is 10ft longer than the width. find the detentions of the pool solve by complet
    7·1 answer
  • Attachment no explanation only answer
    6·2 answers
  • Please show work, as well (if you can)
    13·1 answer
  • A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.​
    11·1 answer
  • BRAINLY IF CORRECT!!!! Steve tossed a coin many times. He got 39 heads and 52 tails. What is the experimental probability that h
    6·1 answer
  • Help on math question pls
    13·1 answer
  • Which of the following equations is equivalent to ab − 8 = 3b, when solving for b .
    13·2 answers
  • Solve: sin(11pi/2 +x)= -1/2 for [pi, 2pi]
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!