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
sleet_krkn [62]
3 years ago
7

Rewrite 25 as an exponent.

Mathematics
2 answers:
devlian [24]3 years ago
7 0

Answer: 25 as a exponent is 25^1.

Step-by-step Explanation: To write a exponent, you figure out the main number and how many times the main number is repeating.

Ex: 91x91x91x91x91x91x91

Main number: 91

Repeating how many times: 7

Final answer: 91^7

yan [13]3 years ago
7 0

Answer:

5^2

Step-by-step explanation:

Since 5 times 5 equals 25, 25 as an exponent is 5^2.

You might be interested in
The formula A=P(1+r)t is used to show the total amount owed for a loan with a simple annual interest rate.
vodka [1.7K]
We are asked to express r in terms of A, P, and t.

We first divide both sides of the equation by t, which gives us

                                         
                     \displaystyle{ \frac{A}{t}=P(1+r), 


then, dividing both sides by P, we have

                     \displaystyle{ \frac{A}{Pt}=1+r.

Swap the sides:

                    \displaystyle{ 1+r= \frac{A}{Pt} 
      
Finally subtracting 1 from both sides gives us

                     \displaystyle{ r=\frac{A}{Pt}-1.


5 0
3 years ago
Read 2 more answers
Please, I need help with this math question.
kondaur [170]

Step-by-step explanation:

Indeed the brainliest is t

8 0
2 years ago
Find the product in its simplest form<br><br> 2/5 * 3/7
Mamont248 [21]

Answer:

6/35

Step-by-step explanation:

I just used my calculator...

6 0
3 years ago
Read 2 more answers
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes d
Pachacha [2.7K]

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

n(1/8)=10 upon multiplying each side by 8

n=80

So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3

6 0
3 years ago
The height y of a ball (in feet) is given by the function and x is the horizontal distance traveled by the ball.
bazaltina [42]
Given: <em>The height y of a ball (in feet) is given by the function </em><em>y=-1/12x^2+2x+4 </em><em>and x is the horizontal distance traveled by the ball.</em>

Part A:<em> </em><em>How high is the ball when it leaves the child's hand?</em>

Right after the ball leaves the child's hand, it has travelled 0 feet horizontally. Horizontal distance is represented by x, so we could say that x = 0.
Plug in 0 for our equation and solve for y, the height.

y=-\frac{1}{12}x^2+2x+4\\\\y=\frac{1}{12}\cdot0^2+2\cdot0+4\\\\y=0+0+4\\\\\boxed{y=4}

Part B & C: <em>How high is the ball at its maximum height?
</em>
What we basically want to do is find the vertex of the function.
There are multiple ways to do this. You could graph it or make a table, but this method is not efficient.
The method I am going to go over right now is putting the equation in vertex form.

y=-\frac{1}{12}x^2+2x+4

Move the constant to the left side.

y-4=-\frac{1}{12}x^2+2x

Factor out the x² coefficient.

y-4=-\frac{1}{12}(x^2-24x)

Find out which number to add to create a perfect square trinomial.
(Half of 24 is 12, 12 squared is 144. We have to add 144/-12 (which is -12) to each side so that we end up with 144 inside the parentheses on the right side)

y-4-12=-\frac{1}{12}(x^2-24x+144)

Factor the perfect square trinomial and simplify the right side.

y-16=-\frac{1}{12}(x-12)^2

Isolate y on the left side.

y=-\frac{1}{12}(x+12)^2+16

And now we are in vertex form.
Vertex form is defined as y = a(x-h)² + k with vertex (h, k).
In this case, our vertex is (12, 16).

You could've also taken the shortcut that for any quadratic f(x) = ax² + bx + c, the vertex (h, k) is (-b/2a, f(h)). That's basically a summation of this method which you can use if your teacher has taught it to you.

Part D & E: <em>What is the horizontal distance travelled by the ball when it hits the ground?</em>
When the ball hits the ground, y is going to be 0, since y is the ball's height.
There are many ways to solve a quadratic...split the middle, complete the square, and the quadratic formula.

-\frac{1}{12}x^2+2x+4=0
<u>
</u><u>Solving by splitting the midlde</u>
If your quadratic has fractions, this is not a good option.
<u>
</u><u>Solving by completing the square</u>
Move the constant over the right side.

y=-\frac{1}{12}x^2+2x=-4

Divide by the x² coefficient.
(Dividing by -1/12 is the same as multiplying by its reciprocal, -12.)

x^2-24x=-4\times-12

Simplify the right side.

x^2-24x=48

Halve the x coefficient, square it, and then add it to each side.
(Half of -24 is -12, and -12 squared is 144.)

x^2-24x+144=192

Factor the perfect square trinomial.

(x-12)^2=192

Take the square root of each side.

x-12=\pm\sqrt{192}

192 = 8 × 8 × 3, so we can simplify √192 to 8√3.
Add 12 to each side and we get our answer.

x=12\pm8\sqrt{3}

Our function does not apply when x or y is less than 0, of course.
12-8√3 is negative, so this cannot be our answer.
So, the ball had travelled 12+8√3 feet at the time when it hit the ground.

<u>Solving with the quadratic formula</u>
For any equation ax² + bx + c = 0, the solution for x is \frac{-b\pm\sqrt{b^2-4ac}}{2a}.

Our equation, y=-1/12x^2+2x+4, has a = -1/12,  b=2, and c=4.
Let's plug these values into the quadratic formula.

\frac{-2\pm\sqrt{2^2-4\cdot\frac{-1}{12}\cdot4}}{2\cdot\frac{-1}{12}}=\frac{-2\pm\sqrt{4-\frac{-4}3}}{\frac{-1}6}=\frac{-2\pm\sqrt{\frac{16}{3}}}{\frac{-1}6}=\frac{-2\pm\frac{4}{\sqrt{3}}}{\frac{-1}6}

Dividing by a fraction is the same as multiplying by its reciprocal...

-6(-2\pm\frac{4}{\sqrt{3}})=12\pm\frac{-24}{\sqrt{3}}=12\pm\frac{24}{\sqrt{3}}=12\pm\frac{24\sqrt{3}}3=\boxed{12\pm8\sqrt{3}}

Of course, we only want the positive value, 12+8√3.

Revisiting Part B & C:
Since parabolae are symmetrical, if you know two values of x for some value of y (like the x-intercepts we just found in part B) then you can find the average between them to find what the x value of the vertex is, then plug that in to find the y value of the vertex (the height we want)

The average between 12+8√3 and 12-8√3 is 12. Plug that in and we get 16!
5 0
3 years ago
Other questions:
  • What's the y intercept of 4x+3y=9
    12·2 answers
  • If an equation of a line is y - 5 = m(x-2) and (1,1) is a point on the graph, what is m?
    7·2 answers
  • If b= the number of blue bikes, which algebraic expression represents the
    12·2 answers
  • What is the line through the points (2,3) and (19,17)
    6·1 answer
  • If you save three pennies on January 1, six pennies on January 2, nine pennies on January 3, and continue this pattern for one y
    8·2 answers
  • The area of a bathroom floor is 24 square feet. If the width of the bathroom is 6 feet, what is the length of the bathroom?
    9·2 answers
  • What is the product? (2x - 1)(x+4) O 2x2-4 O 2x2 + 4 2x2 + 7 x-4 2x2 - 7x - 4
    14·1 answer
  • A man is driving in a city that is built on a grid his car is at point S(66,17), and he needs to get to a parking lot at point T
    10·1 answer
  • They need to make room for the 2022 model.
    5·1 answer
  • Find the coordinates of the point of intersection of the line with equation 3x + 4y = 10 and the line with equation 5x − 6y = 23
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!