Emily is a diver. Today she descended to a
depth of 40 feet below sea level. Then she
swam up 10 feet and descended another 4
feet. How far below sea level is Emily now?

Answer:

Step-by-step explanation:

x²-bx-22=0

put x=4

4²-4b-22=0

16-4b-22=0

-4b-6=0

2b+3=0

b=-3/2

x²-3/2x-22=0

2x²-3x-44=0

2x²-11x+8x-44=0

x(2x-11)-4(2x-11)=0

(2x-11)(x-4)

roots are 11/2,4

The required value of the b  is -3/2, and another root of the given equation is  -11/2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x² - bx - 22 = 0

As we know 4 is the root of the equation,
put 4 in the given expression,
(4)² -b(4) -22 = 0
16 -4b -22 = 0
b = -3/2

x² + 3/2x - 22 = 0
(x - 4)(x + 3/2) = 0

root are,
x = 4 and -11/2

Thus, the required value of the b  is -3/2, and another root of the given equation is  -11/2.

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Answer:

(-2x²- 4x + 2) - (-6x + 2) = -2x²+ 2x

Step-by-step explanation:

(-2x²- 4x + 2) - (-6x + 2)=

= -2x²- 4x + 2 + 6x - 2 =

= -2x²+ 2x

Answer:400

x-85=315

Step-by-step explanation:

x-85=315 so then you add 85 to both sides and get x=400

Answer:

30

Step-by-step explanation:

According to the formula: 360/n

Here in 12-gon, n is 12

so,

=360/12

=30 degrees

Hope this helps

Answer:

answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.

Answer:

The translation corresponds to a translation of 13 units to the right

Step-by-step explanation:

Translation of a Graph

If the graph of

y=f(x) is translated a units horizontally, then the equation of the translated graph is

y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

y = x

and the given function is

y = x - 13

The translation corresponds to a translation of 13 units to the right

Answer:

7

Step-by-step explanation:

those

Answer:

Step-by-step explanation:

a₂ - a₁ = 20 - 4 = 16

a₃ - a₂ = 100 - 16 = 84

Since a₂ - a₁ ≠ a₃ - a₂, the sequence is not arithmetic.

a₂/a₁ = 20/4 = 5

a₃/a₂ = 100/20 = 5

Since a₂/a₁ = a₃/a₂ = 5, the sequence is geometric with a common ratio of 5.

Answer:

-4

Step-by-step explanation:

as x goes up one y goes down 4

slope is change in y over change in x

-4/1=-4

The slope of the linear function represented by the table is -6.

To find the slope of the linear function represented by the table, we can use the formula for slope:

Slope (m) = (change in y) / (change in x)

Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):

(change in y) = -16 - 2 = -18

(change in x) = 2 - (-1) = 3

Slope (m) = (-18) / (3) = -6

Therefore, the slope of the linear function represented by the table is -6.

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Answer:

x minus 3

is the formula to this question

Answer:

Step-by-step explanation:

Nth term of the given A.P is

here a=25 and d=-3

so Tn=a+(n-1) d

=25+(n-1)-3

=25-3n+3

=28-3n

THIS IS THE Nth TERM

Answer:

300,000

Step-by-step explanation:

Answer:

d = 20

Step-by-step explanation:

2d + 10 = 50 ( subtract 10 from both sides )

2d = 40 ( divide both sides by 2 )

d = 20

Answer:d=20

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

2d+10−10=50−10

2d=40

Step 2: Divide both sides by 2.

2/d=40/2

d=20

Answer:

Remember that the roots are the values of the variable when the expression equals 0.

a: 4 + 3 = 7 and 4*3 = 12 so we have (x + 3)(x + 4) with roots -3, -4

b: -4 + -2 = -6 and -4*-2=8 so we have (t-2)(t-4) with roots 2, 4

c: 2*-4 + 6 = -2 and -4*6=24 so we have (2n+6)(n-4) with roots -3, 4

d: -7+-4 = -11 and -7*-4=28 so we have (y-4)(y-7) with roots 4, 7

Answer:

YES

Step-by-step explanation:

Answer:

$7400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 5000 × 0.04 × 12 = 2400

I = $ 2,400.00

The simple interest accumulated

on a principal of $ 5,000.00

at a rate of 4% per year

for 12 years is $ 2,400.00.

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400 and this can be determined by using the simple interest formula.

Given :

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years.

The total amount due on a simple interest loan can be determined by using the simple interest formula which is given by the equation:

[tex]\rm I = PRT[/tex]

Given that time, T = 12 years

Rate, R = 4% = 0.04

Principal amount, P = $5000

Now, put the value of P, R, and T in the equation (1).

[tex]\rm I = 5000\times 0.04 \times 12[/tex]

I = $2400

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400.

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Answer:

Answer Expert Verified y = (slope) x + (y-intercept) . Right away, you know that this line goes through the origin ...

9514 1404 393

Answer:

  7 years

Step-by-step explanation:

Malik's salary grows 25,500 in 12 years, so at the rate of ...

  $25,500/(12 yr) = $2125/yr

To get his salary up to 40,000, it must grow by ...

  40,000 -25,500 = 14,500

To grow that much will take ...

  $14,500/($2125/yr) ≈ 6.82 yr

Malik must wait 7 years until his salary is at least $40,000.

_____

At the end of the 7th year, Malik's salary will be raised to ...

  $25,500 + 7·2,125 = $40,375

Answer:

#1 : x= -16.5

#2 : x= 3.6

#3 : x= -75

#4 : x= 10 1/3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope it helps :)

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Answer:

NaNx10^-15

Step-by-step explanation:

sorry did not know you wanted it in standard form before

Answer:

7384.46330241 or 7384.5

Step-by-step explanation:

first to find the Y you had to use distributive property

1. 9(1+0.03) = 9+0.27

2. 9+0.27= 9.27

3. 9.27 to the 4th power will be 7384.46330241 or 7384.5

Answer:

10.13

Step-by-step explanation:

Remark

The correct way to do this is to add what is inside the brackets (the terms are alike so you can do that) and raise the result to the forth power. Then you multiply by 9.

Solution

1 + 0.03 = 1.03

1.03 ^4 = 1.1255

1.1255 * 9 = 10.13

Answer:

12x-5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

P (getting a head is) = 0.57.

Step-by-step explanation:

The maximum for a probability is 1.

We know that a coin has only 2 sides, either head or tail.

The probability of getting a tail is 0.43 (given).

So, the probability of getting a head is = 1.00 - 0.43 = 0.57.

Answer:i think its 180

Step-by-step explanation:

Answer:

-44

Step-by-step explanation:

[tex]A=-2*11*2=-44[/tex]

Answer:

y = 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/4 × 1/4 = (2×1)/(4×4) = 2/16 = 1/8

Answer:

1/8

Step-by-step explanation:

2/4 times 1/4 is 0.125, which as a fraction is 1/8

Answer:

1=1.5

2=.75

3=2.3

4=3.5

5=4

6=.75

Step-by-step explanation:

Answer:

1.   1.5

2   0.75

3    3.3

4   3.5

5    4

6    0.75

Please note that just insert the proper units from the problem.

Step-by-step explanation: