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
aalyn [17]
2 years ago
14

A package of 30 scented pencils costs $24.90. At this rate, what is the

Mathematics
1 answer:
masya89 [10]2 years ago
8 0

Answer:

.83 cents

Step-by-step explanation:

You might be interested in
How to find the first quartile
jeyben [28]

Q1= the median of the lower half of the datas

4 0
3 years ago
Read 2 more answers
An integer from 100 through 999, inclusive, is to be chosen at random. What is the probability that the number chosen will have
bixtya [17]
D. Is the correct answer
5 0
3 years ago
Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)
ELEN [110]

Question:

Find the point (,) on the curve y = \sqrt x that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})

Step-by-step explanation:

y = \sqrt x can be represented as: (x,y)

Substitute \sqrt x for y

(x,y) = (x,\sqrt x)

So, next:

Calculate the distance between (x,\sqrt x) and (3,0)

Distance is calculated as:

d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}

So:

d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}

d = \sqrt{(x-3)^2 + (\sqrt x)^2}

Evaluate all exponents

d = \sqrt{x^2 - 6x +9 + x}

Rewrite as:

d = \sqrt{x^2 + x- 6x +9 }

d = \sqrt{x^2 - 5x +9 }

Differentiate using chain rule:

Let

u = x^2 - 5x +9

\frac{du}{dx} = 2x - 5

So:

d = \sqrt u

d = u^\frac{1}{2}

\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}

Chain Rule:

d' = \frac{du}{dx} * \frac{dd}{du}

d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}

d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}

d' = \frac{2x - 5}{2\sqrt u}

Substitute: u = x^2 - 5x +9

d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}

Next, is to minimize (by equating d' to 0)

\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0

Cross Multiply

2x - 5 = 0

Solve for x

2x  =5

x = \frac{5}{2}

Substitute x = \frac{5}{2} in y = \sqrt x

y = \sqrt{\frac{5}{2}}

Split

y = \frac{\sqrt 5}{\sqrt 2}

Rationalize

y = \frac{\sqrt 5}{\sqrt 2} *  \frac{\sqrt 2}{\sqrt 2}

y = \frac{\sqrt {10}}{\sqrt 4}

y = \frac{\sqrt {10}}{2}

Hence:

(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})

3 0
3 years ago
a number is selected at random from set (2,3,45,6,7,8,9,and 10). which event covers the entire sample space of this experiment ?
ki77a [65]
I'm not sure I understand the question. Is this worded correctly?
8 0
3 years ago
. Given the following diagram. (a) Name the minor arc __________ Name the major arc ___________ (b) If the minor arc is 112°, wh
garri49 [273]

Answer:

(a) minor arc: arc VX

    major arc: arc VYX

(b) 248 degrees

(c) Tangent: UV

    Secant: UY

Step-by-step explanation:

(b) 360 - 112 = 248

(c) UV crosses on the circumference of the circle at exactly one point

    UY crosses through the circle at exactly two points

5 0
3 years ago
Read 2 more answers
Other questions:
  • The standard kilogram (fig. 1.1a) is a platinum–iridium cylinder 39.0 mm in height and 39.0 mm in diameter. what is the density
    7·1 answer
  • What is the answer to (8x+5)^2=63? I've been stuck on this problem for about 10 minutes now.
    13·1 answer
  • Find the value of x. Given: ∠SRT≅∠STR, m∠SRT=20, m∠STU=4x​
    14·1 answer
  • Help!! I’m sooo stuck!
    9·1 answer
  • READ CAREFULLY!! THANK YOu! :)
    7·1 answer
  • a herd of 52 horses has 12 white horses and some black horses. What is the ratio of white horses to black horses
    15·2 answers
  • Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
    8·1 answer
  • you drove your vehicle to and from your work last year your records show a total of 1,860 for fixed cost and 5,000 for a variabl
    5·1 answer
  • Calculate the median of the following data 18, 24, 55, 59, 34, 39, 22, 32, 57, If 55 is replaced by 33, calculate the new median
    7·2 answers
  • a container has 16 1/2 cups of lemonade. Asher gives each of his classmates 3/4 of a cup if lemonade. if asher gives away all of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!