A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, , causes a change in
the dependent variable,

Answer:

a. f(-12) = 10

b. f(0) = 1

c. f(4) = -2

Step-by-step explanation:

In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:

a. f(-12) = 1 - 3/4(-12)

 - f(-12) = 1 - (-36/4)

 - f(-12) = 1 + 9

 - f(-12) = 10

b. f(0) = 1 - 3/4(0)

 - f(0) = 1 - 0

 - f(0) = 1

c. f(4) = 1 - 3/4(4)

 - f(4) = 1 - 12/4

 - f(4) = 1 - 3

 - f4) = -2

Answer:

4.4471336 * 10^2.

Step-by-step explanation:

(6.253•10^-2)(7.112x10^3)

= 6.253*7.112 * 10^-2*10^3

= 44.471336 * 10^1

= 4.4471336 * 10^2.

Answer:

4-6x=y2

Step-by-step explanation:

Answer:

$22.02

Step-by-step explanation:

3(6.75)(1.0875) = 22.021875 ≈ $22.02 (Assuming the store rounds down.)

Answer:

The answer is below

Step-by-step explanation:

From the image, we can see that DC is parallel to AB.

Step 1:

Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.

Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.

Step 2:

DB ≅ BD (reflexive property of congruence)

Step 3:

∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:

Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.

Step 4:

BD = DB, angles CDB and ABD  are congruent, angle ADB and CBD are congruent.

Therefore,  By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .

Answer:

r<-4

Step-by-step explanation:

when inequality is divided by a negative number the sign changes to next direction.

The minimum number of moves required for a given number of disks.

We have given that,

The sequences are number of moves 1, 3, 7, 15, 31, 63,

2,2, 4, 8, 16, 32, 64,

Compare the two sequences.

Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

You can find any term in the sequence of moves using the formula

[tex]a_1=2^n-1[/tex]  

No one cares about the explanation good luck with your grade Bois.

The minimum number of moves required for a given number of disks.

To learn more about the sequence visit:

https://brainly.com/question/6561461

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Answer:

Each term in the sequence of moves is 1

less than the corresponding term in the

sequence of differences.

You can find any term in the sequence of

moves using the formula

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

V = (pi)r^2h

V = 3.14 * (8 m)^2 * 28 m

V = 5626.9 m^3

Answer: B.

Answer:

the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale

Answer:

0.25

Step-by-step explanation:

Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.

If you multipy every side of figure A by 0.25 you would get the sides of figure B.

Hope this is helpful:)

Answer: x squared equals y

Step-by-step explanation:

Answer:

y intercept is 4

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

132-64=

68/2=

34

PLEASE MAKE ME BRAINLIEST

Answer:

Step-by-step explanation:

Area of a cone is pie times radius square times height divided by 3

So it will be 3.14 x (4x4)x 9/3= 150.72

Answer:

$12

Step-by-step explanation:

42 divided by 7 is 6 so you just add the 6 that was originally subtracted die to the discount and you get 12.

Answer:

13/4

Step-by-step explanation:

Answer:

2 and 5

Step-by-step explanation:

five plus two equals 7

Answer:

5 & 2

Step-by-step explanation:

X + y = 7

X × y = 10

Solve with the help of trial & error method.

Factors of 10 - 1, 5, 2, 10

Let's take 5 as X & 2 as y.

X + y = 7 --- 5 + 2 = 7

X × y = 10 --- 5 × 2 = 10

Hence, the two numbers that multiply to 10 and add to 7 are 5 & 2

Given:

Principal = $400

Rate of interest = 6% compounded monthly

Time = 5 years.

To find:

The amount in the bank after 5 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.

Interest compounded monthly. So, [tex]n=12[/tex].

Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get

[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]

[tex]A=400\left(1+0.005 \right)^{60}[/tex]

[tex]A=400\left(1.005 \right)^{60}[/tex]

[tex]A\approx 539.54[/tex]

Therefore, the amount of money in the bank after 5 years is $539.54.

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Answer:

They have the same y-intercept of -6.

Answer:

[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle d = 150[/tex]

See attachment for illustration

Required

Find [tex]\angle b + \angle c + \angle e =[/tex]

The sum [tex]of\ angles\ at[/tex] a point is [tex]360^\circ[/tex]

So:

[tex]\angle a + \angle b + \angle c + \angle d + \angle e = 360^\circ[/tex]

Angle a is at right angled.

So:

[tex]90 + \angle b + \angle c + 150 + \angle e = 360^\circ[/tex]

Collect like terms

[tex]\angle b + \angle c + \angle e = 360^\circ -150^\circ - 90^\circ[/tex]

[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]

Answer:

A or C  Sorry!

Step-by-step explanation:

Answer:

78 dollars

Step-by-step explanation:

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).

Given:

c(n) = 50 + 4n

Where,

c = monthly cost of visiting a gym

n = number of visits

Find the value of c(7)

That is, when n = 7

c(n) = 50 + 4n

c(7) = 50 + 4(7)

= 50 + 28

= 78

c(7) = 78 dollars

Answer:

third option down I'm 99% sure

Answer:

am gonna need more imformation

Step-by-step explanation:

Answer:

0.188 inches

Step-by-step explanation:

Given that,

There are 5 inches of water in a bucket after 212 hours of a rainstorm

We need to find how much water will there be in the bucket after 8 hours if the rain continues at the same rate.

5 inches = 212 hours

1 hour = (5/212) inches

For 8 hours,

[tex](\dfrac{5}{212})\times 8\\\\=0.188\ \text{inhces}[/tex]

Hence, there will be 0.188 inches of water after 8 hours.