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
Vadim26 [7]
3 years ago
10

A fast typist can type 120 words in 100 seconds. At that rate, how many seconds would it take to type 258 words?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0

Answer: 215 seconds

Step-by-step explanation:

This is a ratio problem so you can set up the ratio like this:

120 words : 100 second.

If you divide both sides of the ratio by 120 you get:

1 word: 0.8333 seconds

Multiply both sides of the ratio by 258 and you get:

258 words: 215 seconds.

Therefore typing 258 will take them 215 seconds.

You might be interested in
How many times does 4 go into 56
Oduvanchick [21]
4 multiplied by 14 gives you 56 so its 14
7 0
3 years ago
Read 2 more answers
If h(x)=(f o g) (x) and h(x)= ∛x+3, find g( x) if f(x)= ∛x+2 (picture attached)
Aleksandr-060686 [28]

Answer:

g(x) = x+1

Step-by-step explanation:

Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...

h(x) = f(x+1) = f(g(x))

so

g(x) = x+1

_____

More formally, you can apply the inverse of the function f(x) to the equation ...

h(x) = f(g(x))

f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied

f^-1(h(x)) = g(x) . . . . . . . . . simplified

Now f^-1(x) can be found by solving for y in ...

x = f(y)

x = ∛(y+2) . . . . . . . . . definition of f(y)

x^3 = y+2 . . . . . . . . . cube both sides

x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides

So, f^-1(h(x)) is ...

f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2

g(x) = x+1

5 0
3 years ago
Not? Is t(n)=2⋅3n
Vera_Pavlovna [14]

Answer:

Step-by-step explanation: I am used to describing arithmetic sequences like this:

3

,

5

,

7

,

.

.

.

3,5,7,...3, comma, 5, comma, 7, comma, point, point, point

But there are other ways. In this lesson, we'll be learning two new ways to represent arithmetic sequences: recursive formulas and explicit formulas. Formulas give us instructions on how to find any term of a sequence.

To remain general, formulas use

n

nn to represent any term number and

a

(

n

)

a(n)a, left parenthesis, n, right parenthesis to represent the

n

th

n

th

n, start superscript, start text, t, h, end text, end superscript term of the sequence. For example, here are the first few terms of the arithmetic sequence 3, 5, 7, ...

4 0
3 years ago
Please answer both questions i will fail if i don't get these
MrRa [10]

Answer:

its  below

Step-by-step explanation:

a) (0,1)   (-1,2)  (1,2)  (2,5)   (-2,5)

b) (0, -1, 1, 2, -2)

c) (1,2,5,5)

#4 a)  f(-5) = 39

b) f(1) = -9

4 0
3 years ago
New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles sou
qwelly [4]

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}

       =\frac{ 2\pi  }{9}

Now calculating the distance:

=\frac{2\pi }{9} \times  4000\\\\= \frac{8000 \pi }{9}

=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles

4 0
2 years ago
Other questions:
  • Please help me I need it.
    10·1 answer
  • How do you find the surface area and volume of this geometric shape?
    7·1 answer
  • 5/6 of an estate goes to relatives. Of the remaining estate 1/2 goes to the American cancer society. What fraction of the estate
    6·2 answers
  • What is a counterexample for the conjecture?
    8·1 answer
  • PLEASE HELP ME ASAP!
    11·2 answers
  • How much work is done by a crane that raises 2000 N of material a distance of 100 m
    7·2 answers
  • Find the area of the parallelogram 60ft 52ft 67ft​
    8·1 answer
  • Jimmy wants to buy socks that cost $20 how much change does he receive if he gives the cashier $100?
    6·1 answer
  • Find the value of X. Please help ASAP!! I have no idea how to do this and I have to have it done soon!!
    14·1 answer
  • 1.<br> In the equation below, what is the value of x<br> 20=x+(2 x 8) - 6
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!