Ms. Sacco is investigating the habitats of various animals. She starts scuba diving off the shores of Mexico. She dives to a depth of 65 feet. The next day she climbs a mountain at an elevation of 500 feet. What is her change in elevation?​

Answer:

Step-by-step explanation: f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = 27

f4 = 5(9) + 2 = 47____

The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,

121.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.

By this pattern,

f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].

f(4)f(4) =  [f(3) + 2f(4)][f(3) + 2f(4)].

f(4)f(4) =  [f(3) + 2(4)][f(3) + 2(4)].

f(4)f(4) =  [3 + 8][3 + 8].

f(4)f(4) =  [11][11].

f(4)f(4) =  121.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ2

Step-by-step explanation:

The decimal number 5.25 is equal to the fraction 21/4.

Answer:

The answer is Titan

Step-by-step explanation: the atmosphere of Titan is similar to earth's atmosphere because Titan's atmosphere is mostly made up of nitrogen and so is Earth's atmosphere.

Answer:

[tex]g\leq \frac{11}{17}[/tex]

Step-by-step explanation:

[tex]-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}[/tex]

The value of g in the given inequality -5-3(5g-4) ≥ 2g+6-10 is equal to or less than 11/17, g ≤ 11 / 17

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality -5-3(5g-4) ≥ 2g+6-10

Solving for g,

-5-3(5g-4) ≥ 2g+6-10

-5-15g+12 ≥ 2g+6-10

-15g+7 ≥ 2g-4

7 ≥  17g -4

11  ≥ 17g

11 / 17  ≥ g

g ≤ 11 / 17

Hence, the value of g is equal to or less than 11/17, g ≤ 11 / 17

Learn more about inequality, click;

https://brainly.com/question/30231190

#SPJ2

Answer:

this formula is right

Answer:

b

Step-by-step explanation:

i just took the test

The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.

The correct option is (1).

Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.

here, we have,

As per the given data:

In ΔABC :

∠A = 63°

AC = 2.2

In ΔFED :

∠F = 63°

FE = 2.2

By using the distance formula, we can find AB and FD.

From the coordinates, as we can see in the diagram

FD = 2 units

Similarly,

AB = 2 units

Now from SAS congruence rule:

AB = FD (Both are 2 units)

∠A = ∠F (given)

AC = FE (given)

Hence, ΔABC ≅ ΔFDE by SAS congruence rule.

To learn more about congruent triangles, click:

brainly.com/question/12413243

#SPJ7

Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

Answer:

C. 12

Step-by-step explanation:

Remember 0 to 4 turn it back

5 or above give it a shove.

Since 12.444 is around 0 to 4.

We can round that to 12.

Answer:

C.12

Step-by-step explanation:

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

Answer:

-15 < 20

Step-by-step explanation:

5(w - 3) < 5w + 20

Distribute;

5w - 15 < 5w + 20

Subtract 5w from both sides;

-15 < 20

Answer:

w<5

Step-by-step explanation:

(5*w-3*5)<5w+20

5w-15<5w+20

5w-5w<20-15

w<5

Answer:

y= 30x

tep-by-step explanation:

Answer:

y = 10x^2 + x +21

Step-by-step explanation:

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

A linear equation has only more than one additional, that may be expressed as [tex]\bold{ax + by = c}[/tex], and the further discussion can be defined as follows:

Please find the attached file of the graph.

Learn more:

brainly.com/question/576841

Answer:

(-1, 0)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5²=25

Answer:

25

Step-by-step explanation:

it is like 5 times 5

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

Answer:

a.

Step-by-step explanation:

(2, 10) and (4, 10) have the same y value so it's not a function etc. etc.

Answer:

D. The relation represents y as a function of x, because each value of x is associated with a single value of y

Step-by-step explanation:

As long as no one x-value has two solutions, it can be considered a function. The x-values are {0, 2, 4, 6, 8}. Since there isn't any repetition, this can be considered as a function. The fact that 10 is repeated in the y-values doesn't affect that it is a function.

Answer:

Equation A is factoring, x=9 and x=0

Equation B is the square root, x=3

The equation A:  x² - 9 = 0 can be solved by square root method

The equation B: x²  -  9x = 0 can only be solved by factoring

The given equations are:

Equation A:    x²  -  9x = 0

Equation B:    x²  -  9 = 0

The equation x² - 9 can be rewritten as:

x²  -  3² = 0

This is a difference of two squares which can be further expressed as:

(x  -  3)(x + 3) = 0

x  - 3  =  0

x  =  3

x  +  3  = 0

x  =  -3

This shows that the equation x² - 9 = 0 has two roots x = -3 and x = 3

Also, from x² - 9 = 0

[tex]x = \pm\sqrt{9} \\\\x = \pm3[/tex]

For the equation x²  -  9x = 0

This can be factored as x(x - 9) = 0

x  = 0,  x = 9

This is not solved by the square root method.

Therefore, the equation x² - 9 = 0 can be solved by square root method

Learn more here: https://brainly.com/question/18088242

Answer:

4/18

Step-by-step explanation:

Answer:

[tex]t=\frac{y+2n}{r}[/tex]

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

rt - 2n = y

Step 2: Solve for t

70

f(-4)=5(2-3(-4)

f(-4)=10+60

f(-4)=70

Answer:

m<6=54 m<4=126

Step-by-step explanation:

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

Answer:

no

Step-by-step explanation:

Answer:

you are correct!!

Step-by-step explanation:

Answer:

A. i and ii

Step-by-step explanation:

i) 15 - x = -3

x=18

ii) x/2 + 6 = 15

x/2 = 9

x= 18

iii) -1/3x -5.7 = 0.3

-1/3x = 6

x = -18