A leatherback sea turtle can travel at a speed of 48 miles in 8 hours. How many miles can this turtle travel in 10 hours?

Answers

Answer 1
Answer:

Answer:

60 miles can leatherback sea turtle travel in 10 hours .

Step-by-step explanation:

As given

A leatherback sea turtle can travel at a speed of 48 miles in 8 hours.

i.e

48 miles = 8 hours

A leatherback sea turtle can travel in one hour.

1\ hour = (48)/(8)\ miles

1hour = 6 miles

Now calculate for the 10 hours .

A leatherback sea turtle  travel distance in 10 hours = 6 × 10

                                                                                       = 60 miles

Therefore 60 miles can leatherback sea turtle travel in 10 hours .


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According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?f(X) 3x4 +2xfox)- (6x -4x5-10 3x2-4

Answers

Answer:
A. (3x²-4x-5)(2x⁶-5)

Explanation:
The fundamental theorem of Algebra states that:
"A polynomial of degree 'n' will have exactly 'n' number of roots"

We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree

Now, let's check the choices:
A. (3x²-4x-5)(2x⁶-5)
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
Therefore, the polynomial is of 8th degree which means it has exactly 8 roots. This option is correct.

B. (3x⁴+2x)⁴
The term with the highest power will be (3x⁴)⁴ = 81x¹⁶
Therefore, the polynomial is of 16th degree which means it has exactly 16 roots. This option is incorrect.

C. (4x²-7)³
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect

D. (6x⁸-4x⁵-1)(3x²-4)
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect

Hope this helps :)
The number of roots of a polynomial is determined by the highest power of the variable after all simplifications has been done. For the first option, after the brackets has been expanded, the highest power of x will be 8. The second option will have the highest power of x as 16. The third option will have the highest power of x as 6 while the last option will have the highest power of x as 10. Therefore, the polynomial function with exactly 8 roots is f(x) = (3x^2 - 4x - 5)(2x^6 - 5).

NEED HELP: What is the solution to 3(2x – 4) + 2(x + 7) = 6

Answers

Answer:

1/2

Step-by-step explanation:

  • 3(2x – 4) + 2(x + 7) = 6
  • 6x-12+2x+14=6
  • 8x+2=6
  • 8x=4
  • x=4/8
  • x=1/2
The answer is 1/2 I used my ti- calculator

For the right triangle shown, which expression represents the length of CA? a. 5cos(25°)
b. 5tan(25°)
c. 5/sin(25°)
d. sin(25°)/5

Answers

Answer:

  b. 5tan(25°)

Step-by-step explanation:

The tangent function gives the ratio between the side opposite and the side adjacent to the angle. That is ...

  tan(25°) = ?/5

Multiplying by 5 solves the equation:

  ? = 5·tan(25°)

Answer:

B

Step-by-step explanation:

I did it one usatestprep

Running at their respective constant rates, Machine X takes 2 days longer to produce w widgets than Machine Y. At these rates, if the two machines together produce 5 4 w widgets in 3 days, how many days would it take Machine X alone to produce 2w widgets.A. 4B. 6C. 8D. 10E. 12

Answers

C. Hope this helps :)

[Please help ASAP!]The table shows music preferences. What type of music do you prefer?
What type of music do you prefer?
Pop Classical Rap Jazz Rock Row totals
Male student: 80 60 80 70 100 390
Female student: 200 150 20 70 50 490
Column totals: 280 210 100 140 150 880


Pop Classical Rap Jazz Rock Row totals

80 60 80 70 100 390 (Male student)

200 150 20 70 50 490 (Female student)

280 210 100 140 150 880 (Column totals)

Which of the following are possible positive associations or observations? (1 point)


1. Rock music is the most popular music for each category of students.

2. The largest difference in conditional relative frequency between males and females is for pop music.

3. The smallest difference in conditional relative frequency between males and females is for jazz music.

4. Male and female students have the same conditional relative frequency for rap music.

Answers

Answer:

The answer is 2.

The largest difference in conditional relative frequency between males and females is is for pop music.

Step-by-step explanation:

                   males     females      difference

Pop                 80          200                120     ←this shows that pop has the

Classical         60         90                  90               greatest difference

Rap                  80         20                  60

Jazz                 70         70                   0

Rock               100         50                 50

Total               390        490              100

Answer:

it is number 3  The smallest difference in conditional relative frequency between males and females is for jazz music.

Step-by-step explanation:


Help ASAP!!!!Select all expressions that are perfect squares.

Group of answer choices

2x^2+20x+100

9x^2+24x+16

(7−3x)^2

(5x+4)(5x−4)

(1−2x)(−2x+1)

4^2+6+9/4

Answers

The expressions that are perfect squares are:

2x² + 20x + 100

9x² + 24x + 16

(7 - 3x)²

To determine which expressions are perfect squares, we need to check if they can be written in the form of (a + b)², where a and b are real numbers.

Let's go through each expression:

2x² + 20x + 100:

This expression can be factored as (x + 10)², so it is a perfect square.

9x² + 24x + 16:

This expression can be factored as (3x + 4)², so it is a perfect square.

(7 - 3x)²:

This expression is already in the form (a - b)², so it is a perfect square.

(5x + 4)(5x - 4):

This is the difference of squares, not a perfect square itself.

(1 - 2x)(-2x + 1):

This is the difference of squares, not a perfect square itself.

4² + 6 + 9/4:

Simplifying, we get 16 + 6 + 9/4 = 22 + 9/4.

This expression is not a perfect square.

To learn more on Expressions click:

brainly.com/question/14083225

#SPJ2

Answer:

2x^2+20x+100, 9x^2+24x+16, (1−2x)(−2x+1), (5x+4)(5x−4),  (7−3x)^2