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
olga55 [171]
2 years ago
15

a number machine uses a rule to charge input numbers into output numbers. this number machine charged 4 into 16, 5 into 20, and

6 into 24. what number will 7 be cgarged into?​
Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

Answer:

28

Step-by-step explanation:

The function that we have in this is f(x) = 4x.  We can see this in 4 * 4 = 16,  5 * 4 = 20 and 6 * 4 = 24.   Therefore,  following the pattern,  7 * 4 = 28.

You might be interested in
X is a natural number and a factor of 18 whats the value of X​
miskamm [114]

Answer:

X could equal 1, 2, 3, 6, 9, or 18

Step-by-step explanation:

Natural numbers include all whole numbers. (1,2,3,..etc)

6 0
3 years ago
Brad is installing a hot tub in his 30 ft by 20 ft back yard. The hot tub has a radius of 5 feet. If he randomly shoots
ddd [48]

Answer:

13% chance

Step-by-step explanation:

Area of backyard = length * width

A = 30 ft * 20 ft

A = 600 ft^{2}

Area of bathtub = π r^{2}

A = π * 5^{2}

A = 78.54 ft^{2}

Probability of arrow landing in tub can be found by dividing Area of the bathtub by the area of the backyard, and then multiplying by 100 for a percentage

Prob. = 78.54/600

Prob. = 0.13

Prob. = 0.13 * 100

Prob. = 13%

7 0
3 years ago
Find the length of the missing side
OLga [1]

a^2+b^2=c^2

a^2+24^2=25^2

a^2+576=625

a^2=49

a=7

The answer is 7.

4 0
2 years ago
Read 2 more answers
I need help with number 8
Oksana_A [137]
The answer is 16.8!!!!
3 0
3 years ago
Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).
guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

  1. Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
  2. Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0
2 years ago
Other questions:
  • 5,000 ones equal to how many thousands
    9·1 answer
  • 2,3,1,-2,-3, ....
    8·2 answers
  • The probability for event a is .4 the probability for event b is .2 The probability of events a and B is .1 why are the events a
    5·1 answer
  • Which choice could be the equation of a line parallel to the line represented by this equation y=2x-3
    13·2 answers
  • A package of 24 Oreo cookies cost $3.89. How much would 3 cookies cost? 5 cookies?
    11·1 answer
  • 74.94×103=
    14·2 answers
  • Evaluate the expression -4x+7 if x= -1
    7·1 answer
  • What is the sign of y = £?<br> y<br> Choose 1 answer:<br> A<br> Positive<br> B<br> Negative<br> Zero
    11·1 answer
  • Which equation represents “fifteen more than r is sixty-one?”
    8·2 answers
  • What is 17/10 in it's simplest form
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!