MATHEMATICS HIGH SCHOOL

A track runner was timed at 3 miles per hour. How many feet per minute did they run?3 miles/1hr = [x]feet/1minute

A) 264ft/minute

B) 60ft/minute

C) 15840ft/minute

D) 88ft/minute
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Answers

Answer 1
Answer:

Answer: A) 264ft/minute


Step-by-step explanation:

1. Based on the information given in the problem, the speed of the track  runner was 3 miles per hour (3(mi)/(h)).

2. If you want to know the speed of the track runner in feet per minute, you need to apply the following proccedure:

(3(mi)/(h))((5280ft)/(1mi))((1h)/(60min))=((3)(5280))/(60)=264(ft)/(min)

3. Therefore, the answer is the option A.
Answer 2
Answer: the correct answer is A

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A drive has a maximum speed of 10,000 revolutions per minute. If a disc has a diameter of 14 cm​, what is the linear​ speed, in​ km/h, of a point 6 cm from the center if the disc is spinning at a rate of 6000 revolutions per​ minute?

Answers

The point 6 cm away from the center travels in a circle of circumference 2π*(6 cm) = 12π cm, so that it covers this distance per revolution, 12π cm/1 rev.

So the disk has a linear speed of

(6000 rev/min) * (12π cm/rev) = 72,000π cm/min

which is equivalent to

(72,000π cm/min) * (1/100,000 km/cm) * (60 min/h)

or approximately 135.7 km/h.

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

Answers

Translate the equation to math.
It says the term after the current term is the current term plus 3.
Next term = this term + 3
Next term = -4+3
The next term is then -4+3 or -1.

Answer= - 1

Hope this helps :)

Simplify a - {5b - [a - (3b - 2c) + c - (a - 2b - c)]}.-a - 6b + 4c
a - 6b + 4c
a - 10b + 4c
-a + 10b + 4c

Answers

Asking the Math Gods...


= a-6b+4c

Answer:

a-6b+4c

Step-by-step explanation:

a-{5b-[a-(3b-2c)+c-(a-2b-c)]}

a-{5b-[a-1(3b-2c)+c-1(a-2b-c)]}

a-{5b-[a+(-3b+2c)+c+(-a+2b+c)]}

a-{5b-[a-3b+2c+c-a+2b+c]}

a-{5b-[-b+4c]}

a-{5b+[b-4c]}

a-{5b+b-4c}

a-{6b-4c}

a+{-6b+4c}

a-6b+4c

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP!! WILL GET BRAINIEST IF YOU SHOW WORK 1. Simplify the radical


2. Simplify the radical


3. Simplify the radical


4. Simplify the radical

Answers

The simplification of the radical is c/3

What are radicals in math?

Radicals in math refer to expressions containing square roots or higher-order roots.

Represented by the radical symbol (√), they involve finding the root of a number. For example, √9 equals 3, as 3 * 3 equals 9.

Simplifying the surd;

√3c²)/√27

= √3 × √c²)/√9 × √3

= √3c/3√3

= c/3

Therefore the simplification of √3c²)/√27 is c/3.

learn more about radicals from

brainly.com/question/738531

#SPJ3
the root of 27 is 3root3.

Represent the polynomial x2 – 16 geometrically using algebra tiles. The number of zero pairs that will be added to the board is24 816 . The equivalent factored form of x2 – 16 is(x – 16)(x + 1)(x – 4)(x – 4)(x + 4)(x + 4)(x – 4)(x + 4) .

Answers

Answer:

Fourth option: (x-4)(x+4)

Step-by-step explanation:

x^2-16

Using a^2-b^2=(a-b)(a+b) with:

a^2=x^2→sqrt(a^2)=sqrt(x^2)→a=x

b^2=16→sqrt(b^2)=sqrt(16)→b=4

Then:

x^2-16=(x-4)(x+4)

Answer:

The number of zero pairs that will be added to the board is

✔ 4

The equivalent factored form of x2 – 16 is

✔ (x – 4)(x + 4) (D)

.

When looking at a rational function f of x equals the quantity x minus six times the quantity x plus three times the quantity x plus four all divided by the quantity x plus six times the quantity x minus three times the quantity x minus four, Jamal and Angie have two different thoughts. Jamal says that the function is defined at x = –6, x = 3, and x = 4. Angie says that the function is undefined at those x values. Who is correct? Justify your reasoning..

Answers

Answer:

Angie is correct

Step-by-step explanation:

We have been given an expression:

((x-6)(x+3)(x+4))/((x+6)(x-3)(x-4))

We can see that function is undefined when we get in-determinant form that is denominator is zero.

Here, we can see that function is undefined at -6,3 and 4

Since, we will get value zero in denominator on all these points.

Hence, Angie is correct

And Jamal is incorrect.

f ( x ) = ( x - 6 ) · ( x + 3 ) · ( x + 4 ) / ( x + 6 ) · ( x - 3 ) · ( x - 4 )
x + 6 ≠ 0,  x ≠ - 6,
x - 3 ≠ 0,  x ≠ 3,
x - 4 ≠ 0,  x ≠ 4.
The function is not defined at : x = -6, x = 3 and x = 4.
Angie is correct.
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The answer's are in the Image sorry if you cant see them so heres the answers from the imageA.) -4B.) -3C.) 5/3D.) 5