A football player started on the O yard line.
He gained 5 yards, then lost 2.
What integer represents the yard he is at?

Step-by-step explanation:

If

n

is a positive integer that is greater than

x

and

a

is a real number or a factor, then

a

x

n

=

n

√

a

x

.

a

x

n

=

n

√

a

x

Use the rule to convert

y

3

5

to a radical, where

a

=

,

x

=

, and

n

=

.

5

√

y

3

Answer:

the forth point

Step-by-step explanation:

first locate 4x2= 8 go to 8 then half it 8/2 and go down to the 4th point and voila

Answer:

5%

Step-by-step explanation:

Let the interest rate be x100

So we have for simple interest: x100×$2600=$390

This is the same as: ddddddddddx×$2600100=$390

x×$2600100=$390

Divide both sides by $26.

x×$26$26=$390$26

x×1=$390$26

x=15

But x is from x100

The % symbol is like a unit of measurement and one that is worth 1100

So 15100d→d15×1100d→d15×%→15%

But this is over 3 years so the annual interest rate is d15%3=5%

Answer:

x = 6.3

Step-by-step explanation:

hope this helped <3

Answer:

The price of the house = $ 100000

The down payment is 20 % of 100000 means  dollars

So, loan amount will be =  dollars

Step-by-step explanation:

mark brainly weirdo

Answer:

  7

Step-by-step explanation:

The first term is 2. The common ratio is -6/2 = -3. The n-th term is ...

  an = a1·r^(n -1)

Using the last term value, we have ...

  1458 = 2·(-3)^(n -1)

  729 = (-3)^(n -1)

Taking logarithms, we have ...

  log(729) = (n -1)·log(|-3|)

  n = 1 +log(729)/log(3) = 1 +6 = 7

The series is 7 terms long.

__

There are few enough terms that we can write them all out:

  2 -6 +18 -54 +162 -486 +1458

__

Additional comment

Had it worked out that n was computed to be an even number, we would have to declare "no solution."

Answer:

105 mm

Step-by-step explanation:

The leaf is 10.5 centimeters, and every centimeter equals 10 milimeters, so you multiply the leaf's length by 10 to convert it.

10.5 * 10 = 105, and that's the result.

Answer:  The last one bc it the same thing!

Step-by-step explanation: one 5/3 is the exact same as 5/3! and for the last one says -5/3

It would be the last one!

Answer:

c-3=

Step-by-step explanation:

C substitute Chris's age and you would subtract 3 years to find Jake's age

Answer:

Step-by-step explanation:

STOP CHEATING AND DO IT URSELF

Your answer is B. 3 13/24

Hoped this helped :)

Have a wonderful day-

Hi!

The answer to your question is B (3 13/24)

Here is the math to prove it:

7 1/6 - 3 5/8

is the same as

43/6−29/8=

43⋅4−29⋅3/24=

85

-

24

which is the same as 3 13/24

I hope this helps!

Have a good day/night!

God bless!

If I'm right feel free to mark brainliest!

Answer:

-2.173

Step-by-step explanation:

Answer:

(θ) = 84°

Step-by-step explanation:

Given: sin(θ)=cos(6)

Find: value of θ

Computation: sin(θ)=cos(6)

We know that  cos(90-a) = sin(a)

So, sin(θ)=cos(90-84)   sin(θ)=sin(84)  

So, (θ) = 84°

Answer:

1/2(x + 1)

Step-by-step explanation:

1/2x + 1/2

1/2(x + 1)

The tan angle opposite to opposite side and the hypotenuse is the ratio of opposite side to the hypotenuse side.

The distance between the building and Diana after walking is,17.6 ft.

The tan angle opposite to opposite side and the hypotenuse is the ratio of opposite side to the hypotenuse side.

Given information-

The height of the building is 130 ft.

Initial angle of the Diana with the building when she looks up, is 37 degrees.

The angle when, Diana walks forward looking to the top of the building changes to 40°.

Suppose Diana was x meter away, from the building when the angle was 37 degrees.

The  Diana walks forward and her angle looking to the top of the building changes to 40°.

As tan angle is the ratio of opposite side to the hypotenuse. Therefore

[tex]\begin{aligned}\tan (37^o)&=\dfrac{130}{x}\\x&=172.5\\\end[/tex]

Now suppose the distance covered by Diana after walking is y ft. Thus again by the right angle property,

[tex]y=\dfrac{130}{\tan40}\\y=154.9[/tex]

As the initial distance from building is 172.5 fr and distance covered by Diana is 154.9 ft. Thus the distance between the building and Diana after walking is,

[tex]d=172.5-154.9\\d=17.6\rm ft[/tex]

Hence the distance between the building and Diana after walking is,17.6 ft.

Learn more about the trigonometry here;

https://brainly.com/question/21286835

Answer: a = 2

Step-by-step explanation: combine both sides. Remove variable by dividing, answer is 2

-7a + 5a = -25 + 21

-7a + 5a = -4

-2a = -4

a = 2

Answer:

FIGURE F... I just got it right on iready

The figure that showcases the rotation of figure E in the image attached below is figure F.

A rotation is a planar transformation that rotates each and every point of a figure around a fixed reference point at a defined angle and direction. The fixed point is known as the rotational center. 

Rotating figures entails revolving them around a central axis and at certain degrees. The figures themselves usually remain the same, but their location in space will shift.

From the image attached, The figure that showcases the rotation of figure E is figure F.

Learn more about the rotation of figures here:
https://brainly.com/question/26249005

Answer:

13.47 m

Step-by-step explanation:

let the angle formed by the shadow on ground be x

tan x = 1.65/(34.55-30 4)

tan x = .39

.39 = tree ht/34.55

tree ht = 13.47m

Answer:

36

Step-by-step explanation:

4x +x = 180
5x=180
x=180/5
x=36

Answer:

Use the Pythagorean theory equation

[tex]\sqrt{(x_{2}-x _{1})^{2} +(y_{2}-y_{1})^{2}[/tex]

Step-by-step explanation:

Geometric Sequence formula for general term:

an = a1(r^n-1)

a1 = 4 × (-5)^1-1

a1 = 4

r = -5

Summation formula for geometric sequence :

Sn = a1 ( 1 - r^n / 1 - r )

...take n from the top of the summation.

= 4 ( 1 -(-5)^6 / 1 -(-5)

= -10416.

Answer:

y 6/5x-2

Step-by-step explanation

Answer:

y = [tex]\frac{6}{5}[/tex] x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{6}{5}[/tex] , then

y = [tex]\frac{6}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1 ) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = [tex]\frac{6}{5}[/tex] x - 5 ← equation of line

Answer:

14

Step-by-step explanation:

280 divided by 20 is 14 when you divide by those 2 numbers you get how much they would cost. also 14x20 is 280

First way of finding area is the usual formula.

Area of a rectangle = Length × Breadth

= 3x × x

= 3x^2

Second way of finding area of the bigger rectangle is adding both the rectangles' areas and subtracting by the area of the smaller rectangle.

Area of smaller rectangle:

Length × Breadth = 2 × x

= 2x

Area of bigger rectangle + Area of smaller rectangle = 3x^2 + 2x

Subtracting it by the area of the smaller rectangle:

3x^2 + 2x - 2x = 3x^2

Answer:

See below for answers and explanations for each part (along with attached graph)

Step-by-step explanation:

Recall the equation [tex]f(x)=asin(bx+c)+d[/tex] where [tex]a[/tex] is the amplitude, [tex]\frac{2\pi}{b}[/tex] is the period, [tex]-\frac{c}{b}[/tex] is the phase/vertical shift, and [tex]d[/tex] is the midline

Part A

Part B

Part C

If you review the attached graph, you will see that when [tex]t=15[/tex], then the bottle will reach its lowest height of 8 feet

I hope these explanations and the attached graph help you understand sinusoidal functions better! Please mark this answer brainliest if you found this answer helpful!

a) The amplitude of the function is 4 feet.

b) The function that represents the situation is [tex]y(t) = 10 +4\cdot \sin \frac{\pi\cdot t}{10}[/tex].

c) The bottle will take 15 seconds to reach its lowest height.

a) The amplitude ([tex]A[/tex]), in feet, is equal to the difference between highest and lowest point ([tex]y_{max}[/tex], [tex]y_{min}[/tex]), in feet, divided by 2. The period ([tex]T[/tex]), in seconds, is the time taken by the bottle to complete one cycle. In this case, the period is the time between two maxima. Hence, we proceed to determine each variable:

[tex]A = \frac{14\,ft-6\,ft}{2}[/tex]

[tex]A = 4\,ft[/tex]

The amplitude of the function is 4 feet. [tex]\blacksquare[/tex]

The period of the function is 20 seconds. [tex]\blacksquare[/tex]

b) The function that represents the situation is based on this model:

[tex]y(t) = y_{o} + A \cdot \sin \frac{2\pi\cdot t}{T}[/tex] (1)

Where:

If we know that [tex]A = 4\,ft[/tex], [tex]y_{o} = 10\,ft[/tex] and [tex]T = 20\,s[/tex], then the function that represents the situation is:

[tex]y(t) = 10 +4\cdot \sin \frac{\pi\cdot t}{10}[/tex] (2)

The function that represents the situation is [tex]y(t) = 10 +4\cdot \sin \frac{\pi\cdot t}{10}[/tex]. [tex]\blacksquare[/tex]

c) With the help of a graphic tool, we graph the function in time. According to the image, the bottle will take 15 seconds to reach its lowest height. [tex]\blacksquare[/tex]

To learn more on simple harmonic motion, we kindly invite to check this verified question: https://brainly.com/question/17315536  

Answer:

Equation Form

x = [tex]\frac{5}{2}[/tex]    

y = [tex]-\frac{3}{2}[/tex]

Point Form= ( [tex]\frac{5}{2}[/tex] ,  [tex]-\frac{3}{2}[/tex])

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.