If Tomas rides his bike at a steady rate of 4 miles in 6 minutes, how much miles can he do in 1 minute? PLEASE HELP

Answers

Answer 1
Answer: 4 Miles 6mins
X
X 1 min
4 =6x
x= 2/3

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If PQ = 21 cm and QR = 5, then what are the possible lengths for PR so that PQ,QR and PR can form a triangle? Explain your reasoning

Answers

Please see the pic, I'd solved in it.
So we are given the measurements of two sides of a Triangle:
(write down the given to be clear)
PQ=21 cm 
QR=5 cm
But one very important thing:
As Aman said, the length of PR would definitely not be greater than the sum of the other two sides/legs....
Why? Because then it gives a STRAIGHT LINE!
which means: PR will be less than that sum
PR<sum of PQ and QR
PR<21+5
PR<26
Time for Pythagoras Theorem!
We can now split it into Two ways, since we dont know if PR is just a leg or the hypotenuse of the triangle:
And therefore:
Assuming PR is a leg:
(PQ seems to be the larger number)
PQ²=PR²+QR²
21² =PR²+5²
21²-5²=PR²
√21²-5²=PR
20.396 cm=PR
≈20.4 cm
20.4≤PR<26  (which means it can be 20.4 as well, but not any lower as                        it is very obvious)
Assuming that PR is the hypotenuse:
PR²=PQ²+QR²
PR²=21²+5²
PR=√21²+5²
PR=21.587 cm≈ 21.6 cm
21.6≤PR<26
So basically, the length can be 21.6 itself or higher.


Help!! I'm really confused, please explain how you got it

Answers

3a²-4b
3(-6)²-4(-5)
108+20
128

A _________ is a value that describes the center of a data set and includes the mean, median, and mode.Fill in the blank please:)

Answers

central tendency is a value that describes the center of a data set and includes the mean, median, and mode.

And just in case you don't know:

Mean is the sum of all the numbers divided by how many numbers there are. Basically the average.

Mode is the number that occurs the most times.

Median is the middle number when you write the numbers from lowest to greatest.
A central tendency is a value that describes the center of a set and includes the mean, median, and mode. 

Mean is Something which is intermediate or in the middle; an intermediate value or range of values; a medium..

Median 
The quantity or value at the midpoint of a set of values, such that the variable is equally likely to fall above or below it; the middle value of a discrete series arranged in magnitude (or the mean of the middle two terms when there is an even number of terms).

Mode is t
he most frequently occurring value in a distribution

Given that f(x) = 2x - 5, find the value of x that makes f(x) = 15.(10 points)
25
20
O 10
05

Answers

The solution is : the value of x that makes f(x) = 15, is x = 10.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Functions

Function Notation

we have,

Step 1: Define

f(x) = 2x - 5

f(x) = 15

Step 2: Solve for x

Substitute in f(x) [Function]:                                                                             15 = 2x - 5

[Addition Property of Equality] Add 5 on both sides:                                    20 = 2x

[Division Property of Equality] Divide 2 on both sides:                                  10 = x

Rewrite:                                                                                                             x = 10

hence, The solution is : the value of x that makes f(x) = 15, is x = 10.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ7

Answer:

10

2(10)-5

20-5

15

10 should be your answer

suppose you invest 1050 at an annual interest rate of 5.5% compounded continuously. How much will you have in the account after 5 years? round the solution to the nearest dollar. HELP please

Answers

For an investment with an interest rate compounded continuously, the formula would be

F = Pe^(rn), where r is the annual interest rate and n is the number of years.
F = 1050e^(0.055*5)
F = $1382.36

I hope I was able to answer your question.

Answer: $1372

Step-by-step explanation:

The formula to calculate the compound amount is given by :-

A=P(1+r)^t, where P is principal amount, r is rate of interest and t is time.

Given: P = $1050

r=5.5%=0.055

t= 5 years

Now, the compound amount after 5 years will be :_

A=1050(1+0.055)^5\n\n\Rightarrow\ A=\$1372.30800673\approx\$1372

You will have $1372 in the account after 5 years.

The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of the prism? (Show all steps.)

Answers

If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / 3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is n² + 4n + 4.