MATHEMATICS HIGH SCHOOL

Calculate the average speed of a gazelle that runs 140 meters in 5.0 seconds.

Answers

Answer 1

Answer:

Answer:

Average speed(S) is given by:

$S =(D)/(t)$ ....[1]

where,

D is the total distance and t is the time.

As per the statement:

A gazelle that runs 140 meters in 5.0 seconds.

⇒D = 140 meters and t = 5 seconds

Substitute in [1] we have;

$S =(140)/(5)$

Simplify:

⇒S = 28 m/sec

Therefore, average speed of a gazelle is, 28 m/sec

Answer 2

Answer: You would multiply to find the average meters/minute.
140 x 5.0 = 700.
But, if you're looking for average m/s you would divide.
140/5 = 28.
If you want meters/hour, you have to multiply the average meters/minute by 60.
140 x 5 x 60 = 4,200.

I'm not sure which one you're looking for but I hope something I wrote helps!

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Find the value of f(x) = -3x^3 + 2x^2 for f(-1)

Are the graphs of y=3/8x -5 and y=3/8x +2 parallel?

Answers

The graph of y = (3/8)x - 5 and y = (3/8)x + 2 are parallel since both graphs have the same slope.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The graph of two equations is parallel if the slope of each of the equations is the same.

The two equations are:

y = (3/8)x - 5 _____(1)

y = (3/8)x + 2 _____(2)

This is in the form of y = mx + c

Where m is the slope.

Now,

From (1 ) and (2) we see that,

m = 3/8

Thus,

The graphs are parallel.

Learn more about equation of a line here:

brainly.com/question/23087740

#SPJ2

yes because they have the same slope of 3/8

Decide whether Rolle's theorem can be applied to f(x) = x2 + 5 on the interval [0, 3]. If Rolle's theorem can be applied, find all value(s) of c in the interval such that f '(c) = 0.

Answers

Answer:

Step-by-step explanation:

it is continuous in [0,3]

f'(x)=2x which exists in (0,3)

f(0)=0²+5=5

f(3)=3²+5=14

f(0)≠f(3)

so Rolle's theorem can't be applied.

PLZ HELP URGENT!!!!!!!!!f(x) = -3x2 + 2x - 7

f(-1) =

A) -12
B) -8
C) -6
D) 0

Answers

Is that - 3x times 2?

The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is

Answers

we know that

The LCD is the LCM (least common multiple) of all the denominators.

we have

$1/3, 3/4, 5/32, 8/9$

$3=3^(1) \n 4=2^(2) \n 32=2^(5) \n 9=3^(2)$

$LCM=2^(5) *3^(2) \n LCM=32*9\n LCM=288$

The LCM of $3, 4, 32, 9$ is $288$ ,

which is the multiple of the highest power of prime factors from all of the given numbers

therefore

the answer is

$288$

The LCD for the fractions $(1)/(3)$ , $(3)/(4)$ , $(5)/(32)$ and $(8)/(9)$ is $\boxed{288}$ .

Further explanation:

The LCD (least common denominator) is least common multiples of denominators.

The least common multiple is defined as the smallest number that divides all the given numbers.

Prime factorization is defined as the factors of the given number are only prime number.

Prime number is defined as a numbers that has only two factors one and itself.

Given:

The given numbers are $(1)/(3)$ , $(3)/(4)$ , $(5)/(32)$ and $(8)/(9)$ .

Explanation:

First we have to find the prime factors of the denominators of all the numbers.

The prime factors of $3$ can be expressed as,

$3 = {3^1}$

The prime factors of $4$ can be expressed as,

$4 = {2^2}$

The prime factors of $32$ can be expressed as,

$32 = {2^5}$

The prime factors of $9$ can be expressed as,

$9 = {3^2}$

The least common factors are ${2^5}$ and ${3^2}$ .

The least common denominator can be calculated as,

$\begin{aligned}\text{LCD} &= {2^5} * {3^2} \n &= 32 * 9\n&= 288\n \end{aligned}$

The LCD for the fractions $(1)/(3)$ , $(3)/(4)$ , $(5)/(32)$ and $(8)/(9)$ is $\boxed{288}$ .

Learn more:

1. Learn more about addition of two numbers brainly.com/question/894273

2. Learn more about multiplication brainly.com/question/4892332

Answer details:

Grade: Junior School

Subject: Mathematics

Chapter: Number system

Keywords: prime numbers, Least common denominator, LCD, Least common multiple, LCM, divide, prime factors, factorization, Prime factorization, factors, fraction, $(1)/(3)$ , $(3)/(4)$ , $(5)/(32)$ , $(8)/(9)$ .

A shop is giving 20% discount in a sale. A shirt in the shop normally costs $60. How much does it cost in the sale?

Answers

20 percent of 60 is 1260 dollars minus 12 is?That's your answer.

Since the shop is giving 20% discount, that means the paid amount would actually
be (100 -20) % = 80 %

So for a $60 shirt, amount = 80% of 60

= (80/100) x 60
= (8/10) x 60
= 48.

Cost in sale = $48.
Cheers.

Which measurement is most accurate to describe the weight of an apple?320 mg
120 g
8 kg
950 g

Answers

120 g from different country

Answer:120 g

Step-by-step explanation: my your dad

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