A diver is at 56 m below sea level. He goes down 17 m and moves up 29 m. Find his final position​

Answer:

Slope = 2 and y-intercept = 8

Step-by-step explanation:

Use slope formula

m=y2-y1/x2-x1

m=16-12/4-2

m=4/2

Simplify

m=2

To find the y-intercept use point slope formula

y-y1=m(x-x1)

y-12=2(x-2)

y-12=2x-4

Add 12 to both sides

y=2x+8

So, 8 is the y-intercept or (0,8)

Answer:

1. 1600

Step-by-step explanation:

1 80*20 =1600

2. 76

Answer:

Here is your Answer

(3.) 2x^3-4x^2-x + (14/(x+6))

Step-by-step explanation:

The expression for the division of polynomials is obtained as  (2x³- 4x²- x) + 14/(x + 6).

The remainder theorem states that that when a polynomial p(x) is divided by another polynomial x + a, then the remainder obtained is given as the value of the polynomial at x = -a which is written as p(-a).

The given problem can be solved by remainder theorem as follows,

Suppose p(x) = 2x⁴ + 8x³- 25x²- 6x + 14.

Now, when p(x) is divided by x + 6, the remainder is given as,

p(-6) = 2 × -6⁴ + 8 × -6³ - 25 × -6² - 6 × -6 + 14

⇒ p(-6) = 14

Thus, by division lemma the following equation can be written as,

2x⁴ + 8x³- 25x²- 6x + 14 = (x + 6)(2x³- 4x²- x) + 14

⇒ (2x⁴ + 8x³- 25x²- 6x + 14) ÷ (x + 6) = (2x³- 4x²- x) + 14/(x + 6)

Hence, the equivalent expression is given as (2x³- 4x²- x) + 14/(x + 6).

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Answer:

3/25

Step-by-step explanation:

12/100

= 6/50

= 3/25

Feel free to mark this as brainliest! :D

Answer:

trapezoid

Step-by-step explanation:

Step-by-step explanation:

1/3 mile in 12 minutes (=1/5 of an hour).

so, the speed (ratio of distance/time) is

1/3 mile / 12 minutes

the speed in mph is the converted ratio, where the denominator (bottom) is turned into 1 (hour).

what do I need to multiply 12 minutes with to get 1 hour ?

the same to multiply 1/5 with to get 1 : 5

to keep the overall value of the ratio the same I need to multiply both parts (top and bottom) of the fraction with the same value.

therefore,

1/3 / 12 × 5/5 = (1/3 × 5) / (12×5) = 5/3 / 60

so, the speed in mph is

5/3 miles / 60 minutes = 5/3 miles / 1 hour = 5/3 mph = 1 2/3 mph

D is the right answer.

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

[tex]\frac{4}{34}[/tex] = [tex]\frac{9}{x}[/tex] ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²

ok!

to find mean, add all of the numbers, and divide that by how many numbers you have.

for example:

number 7 on your paper (8,9,10,15,28)

add those numbers together to get: 70

then divide 70 by 5 (since that's how many numbers there are in the problem) to get: 14

to get median write out all the numbers from least to greatest like you've done and find the middle number by marking off a number from the side each time then you will get: 10

to find mode you just write the number that appears the most. since there are no repeating numbers in your problem, theres no mode.

to find range you subtract the smallest number from the largest number in the problem.

so in your case, it would be 28-8

your range would be: 20

Im sorry for taking your points i did not know you where new to the platform

i forgive you

Step-by-step explanation:

(2*PI*r_A*h_A) /(2*PI*r_*h_B)=440/3960

r_B=n*r_A,h_B=n*r_A

then n=3

r_A=10

then r_B=30

Answer: a^8

My work: a^12 divided by a^4 and got a^8

(hope this helps) :)

Step-by-step explanation:

Answer:

A prime number is one which can be divided only by itself

please give brainliest

Answer:

The correct statement is A prime number are numbers which have only two factor.

Explanation:

Hope it helps you..

Your welcome in advance..

(ㆁωㆁ)

Step-by-step explanation:

Or are you looking for the least

Answer:

-4/5, -3/7, 1/4, 2/3

Step-by-step explanation:

The last one is the greatest as a positive but because it's both the greatest positive but a negative it is the smallest. Since 2/3 is closest to 1 and is positive it would be the greatest. -3/7 is a smaller value than 1/4 as it's closer to 0 than 1/4 is.

For a general quadratic equation, we want to find the equations for the vertex (h, k).

The values of the vertex are:

We start with the general quadratic equation:

f(x) = a*x^2 + b*x + c

To find the x-value of the vertex (h in this case) we need to find the zero of the first derivate of f(x) (because the vertex is a minimum/maximum of the function).

We have:

f'(x) = 2*a*x + b

We solve:

f'(h) = 0 = 2*a*h + b

        -b/(2*a) = h

So we just found the value of h.

To find the value of k, the y-value of the vertex, we need to evaluate the function in the x-value of the vertex, we will get:

k = f(h) = a*( -b/(2*a))^2 + b*( -b/(2*a)) + c

k = b^2/(4a) - b^2/(2a) + c

Then, concluding, we have:

If you want to learn more, you can read:

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Answer:

[tex] {5}^{3} = 5 \times 5 \times 5 = 125[/tex]

I hope I helped you^_^

Answer:

a

Step-by-step explanation:

Answer:

c. (3x)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{5+p}{9} <-1\\5+p<-9\\p<-9-5\\p<-14[/tex]

Answer:

The best answer I could guess is C

Step-by-step explanation:

11/9 is the smallest number, sqrt of 5 is 2.2, sqrt of 11 is 3.3, sqrt of 20 is 2*sqrt 5, than 2^3 is the greatest number.

Answer:Group

Step-by-step explanation:

Vertical is group and horizontal is period

Answer: Group

Step-by-step explanation:

Answer:

Reciprocal of 16 is 1/16 because 16/1 and his reciprocal is 16/1.Step-by-step explanation:

Hope this helps!

Answe840 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

840 is the correct answer

Answer:

w ≤ 2,600

Step-by-step explanation:

w is less than or equal to 2,600

Answer:

20:14 = 10:7

Step-by-step explanation:

A week is equal to 7 days

2 weeks is equal to 2*7 = 14 days

Answer:

20 : 14

Step-by-step explanation:

Since there are 20 days, convert 2 weeks into days, (7 x 2), and you get 14.