1. Write an expression in simplest form for the area of the figure below:
(answer pls)

Answer:

t3 = 8, t5 = 14

Step-by-step explanation:

t3 = 2 + (3-1) × 3

t3 = 2 + (2) × 3

t3 = 2 + 6

t3 = 8

t5 = 2 + (5-1) × 3

t5 = 2 + (4) × 3

t5 = 2 + 12

t5 = 14

Given:

Teresa has $451 in a personal bank account,and then withdraws $10 per week.

Andrew has $10 in a personal bank account,and then deposits $53 each week.

To find:

After how many weeks will they have the same amount of money in the bank.

Solution:

Let x be the number of weeks after which they have the same amount.

Teresa has $451 in a personal bank account,and then withdraws $10 per week. So, the amount in Teresa's account is:

[tex]\text{Teresa's account}=451-10x[/tex]

Andrew has $10 in a personal bank account,and then deposits $53 each week. So, the amount in his account is:

[tex]\text{Andrew's account}=10+53x[/tex]

They have equal amount after x weeks. So,

[tex]451-10x=10+53x[/tex]

Isolate variable terms.

[tex]451-10=10x+53x[/tex]

[tex]441=63x[/tex]

Divide both sides by 63.

[tex]\dfrac{441}{63}=x[/tex]

[tex]7=x[/tex]

Therefore, they will have the same amount of money in the bank after 7 weeks.

It looks like your equation (it's not an identity) is

2 cos(5x) cos(3x) + sin(x) = cos(8x)

Recall that

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==>   2 cos(x) cos(y) = cos(x + y) + cos(x - y)

so that

2 cos(5x) cos(3x) = cos(8x) + cos(2x)

Then the equation simplifies to

cos(8x) + cos(2x) + sin(x) = cos(8x)

cos(2x) + sin(x) = 0

Also recall that

cos(2x) = 1 - 2 sin²(x)

so the equation is quadratic in sin(x) and can be factorized:

1 - 2 sin²(x) + sin(x) = 0

2 sin²(x) - sin(x) - 1 = 0

(2 sin(x) + 1) (sin(x) - 1) = 0

Solve for x :

2 sin(x) + 1 = 0   or   sin(x) - 1 = 0

sin(x) = -1/2   or   sin(x) = 1

[x = arcsin(-1/2) + 2nπ   or   x = π - arcsin(-1/2) + 2nπ]   or   x = arcsin(1) + 2nπ

(where n is any integer)

x = -π/6 + 2nπ   or   x = -5π/6 + 2nπ   or   x = π/2 + 2nπ

Answer:

The answer is 2.)

Step-by-step explanation:

Given initial velocity=135 ft/s

& cliff=76 foot

Given quadratic equation

⇒                      (let h=0 it is given)

⇒  

⇒  

⇒    t=8.96≈9 s (the other root is negative)

Hence, rocket will take 9 s to hit the ground after launched.

Answer:  Choice D

0 = 16t^2 + 135t + 76;  9 s

==============================================

Explanation:

The equation we start with is

[tex]h = -16t^2 + vt + c\\\\[/tex]

where v is the starting or initial velocity, and c is the starting height.

We're told that v = 135 and c = 76

We let h = 0 to indicate when the object hits the ground, aka the height is 0 ft.

That means the equation updates to [tex]0 = -16t^2 + 135t + 76\\\\[/tex]

Based on that alone, the answer is between A or D

-------------------

We'll use the quadratic formula to solve for t

We have

So,

[tex]t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\t = \frac{-135 \pm \sqrt{135^2 - 4(-16)(76)}}{2(-16)}\\\\t = \frac{-135 \pm \sqrt{23,089}}{-32}\\\\t \approx \frac{-135 \pm 151.9506}{-32}\\\\t \approx \frac{-135 + 151.9506}{-32} \ \text{ or } \ t \approx \frac{-135 - 151.9506}{-32}\\\\t \approx \frac{16.9506}{-32} \ \text{ or } \ t \approx \frac{-286.9506}{-32}\\\\t \approx -0.52971 \ \text{ or } \ t \approx 8.96721\\\\[/tex]

We ignore the negative t value because a negative time duration makes no sense.

The only practical solution here is roughly 8.96721 which rounds to 9.0 or simply 9 when we round to the nearest tenth (one decimal place).

In short, the object will hit the ground at the 9 second mark roughly. Or put another way: the object is in the air for about 9 seconds.

From this, we can see that the final answer is choice D.

Keep in mind that we aren't accounting for any wind resistance. Considering this variable greatly complicates the problem and requires much higher level mathematics. So we just assume that there is no wind at this moment.

Answer:

see below

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

36 = s^2

Taking the square root of each side

sqrt(36) = sqrt(s^2)

6 = s

The side length of the pen is 6 ft

To find the perimeter of a square

P = 4s

P = 4*6 = 24

He will need 24 ft of fencing

Answer:

A).

1) A

2) U

3) S

4) J

5) T

6) M

7) H

8) B

9) Y

10) L

s(-5,-1)

k(-3,1)

f(0,5)

p(5,1)

also the value of L is (-4,4)

E (-2,-3)

N(2,1)

Answer:

(0. - 11 )

Step-by-step explanation:

To find the y- intercept let x = 0 and solve for y, that is

y = - 3(0)² - 7(0) - 11 = 0 - 0 - 11 = - 11

y- intercept = (0, - 11 )

Answer:

45

Step-by-step explanation:

1st term is 2

2nd term is 3

3rd term is 4

.

.

.

nth term is (n+1)

because common difference is 1, so 1st term = 1 + common difference = 1+1 = 2, for any term, we take n + common difference, so n+1

putting n = 44,

44th term is 44+1 = 45

Answered by GAUTHMATH

Answer:

False

Step-by-step explanation:

There isnt two eights

Step-by-step explanation:

버터처럼 부드럽게

Answer:

y ≥ -2x-5

you use the greater than and equals to sign

Answer:

2

Step-by-step explanation:

x÷3 dư 1-->x=3a+1

y÷3 dư 2-->y=3b+2

x×y=(3a+1)×(3b+2)

=9ab+6a+3b+2

Mà 9ab, 6a, 3b chia hết cho 3, 2 chia 3 dư 1

==>x×y chia 3 dư 2

Answer:

-24.5 or 7i or -71 (see below)

Step-by-step explanation:

Im gonna guess that you mean (22-16)(2x+49)=0

Therefore, since one of the brackets must be equal to 0 and 22-16 is 6, 2x+49=0 so x is -24.5

However, if you meant (22-16)(x^2+49)=0

then x^2+49=0 so x^2 =-49

Therefore, the answer is complex and therefore 7i or -7i

55

you know you can just use a calculator or a search engine for that, right?

Answer:

i got 69 it should be right

Step-by-step explanation:

Answer:

Vertex= (0,4)

Domain= x: all real number

Range: ( - ∞, 4] or y ≤ 4

OAmalOHopeO

Answer:

1/6

Step-by-step explanation:

There are 6 faces on a die, and you can only roll one face only. So, the denominator will be 6 because there are 6 faces, and 1 as the numerator because that's the equal proportion for each face (unless you use two dice)

Answer:

11,4021

Step-by-step explanation:

the steps are simply ,

44231

11^4021

Answer:

The Prime Factorization is:

11 x 4021

In Exponential Form:

111 x 40211

CSV Format:

11, 4021

All Factors of 44231:

1, 11, 4021, 44231

hope it helps

please mark Brainliest

Answer:

657

Step-by-step explanation:

312 + 138 + 207

= 450 + 207

= 657

Answer:

600

Step-by-step explanation:

To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.

312: there is one in the tenths place, so it will stay as 300.

138: there is three in the tenths place, so it will stay as 100.

207: there is a zero in the tenths place, so it will stay as 200.

If you are doing it with the one's place, it is the same method. Either round up or down.

300 + 100 + 200 = 600

The answer is 600.

Answer:

(a).5/12

(b).10 players

Step-by-step explanation:

a.

⅓+¼=7/12

Remaining=5/12

b.5/12of 24 =10 players

Answer:

41

Ivan has just opened a small coffee shop. He paid a copy store 50.10 percopy to make

1,428 copies of the flyer to announce the opening of the shop an is having 14

distribute all 1 428 flyers, and he is paying them 50.25 tot sath Syer shey der He suure

each friend the same number of flyers

What is the total amount Ivan is paying each friend to

disor

Show your work

Answers

Answer:

09

Step-by-step explanation:

Answer:

<1 = 65

Step-by-step explanation:

Exterior angle thm:

40 + 3x = 5x - 10

3x - 5x = -10 - 40

-2x = -50

x = 25

5x - 10

5(25) - 10

125 - 10

115

180 - 115

65

Answer:

65

Step-by-step explanation:

The sum of the measures of the angles of a triangle equals 180°.

3x + 40 + m<1 = 180

3x + m<1 = 140

<1 and the angle measuring 5x - 10 are supplementary angles, so the sum of their measure is 180°.

m<1 + 5x - 10 = 180

Solve for m<1 and substitute in equation above.

m<1 = 190 - 5x

3x + 190 - 5x = 140

-2x = -50

x = 25

m<1 = 190 - 5x

m<1 = 190 - 5(25)

m<1 = 190 - 125

m<1 = 65

Answer:

No

Step-by-step explanation:

The Rectangle A is occupied by 5 unit Squares on its length and 3 unit Squares on its width .....and we know one unit square in a grid is equal to 1 cm

hence.......A=L×W

Area = 5 unit Squares ×3 Unit Squares

Area of A= 15 unit Squares .

The Square B is occupied by 3 unit Square on each side thus.....Area =S×S

Area of B = 3 unit Squares × 3 Unit Squares

Area of B = 9 unit Squares.

Hence the answer is no ....9 isn't the double of 15

Answer:

x = 26

Step-by-step explanation:

x and 64 are complementary angles so their sum is 90

x+64 = 90

x = 90-64

x = 26

Answer:

26

Step-by-step explanation:

90-64=26

~~~~~~~~~~

Step-by-step explanation:

sin/cos=tan theta.It is the value of the safety angle

Answer:

Since 50 out of the 600 batteries  are defective, She lets numbers from 1 to 50 represent defective batteries, and 51 to 600 represent working batteries

~OAmalOHopeO~

Answer:

Multiply 800 by 1.022^7 because 1.022^(n-1)

Step-by-step explanation:

Series and sequences.

Step-by-step explanation:

(8x⁵y³)^(2/3)

= 8^(2/3)×(x^(5×2/3))×(y^(3×2/3))

= 4×x^(10/3)×y^(2)

= 4y²(³√x¹⁰)

The two mold populations are equal after 4.5 years and the number of days is 9.2

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the point of intersection to be

(x, y) = (4.5, 3)

The means that the two mold populations are equal after 4.5 years

Given that

A(d) = 100e⁰.²⁵ᵇ

We have

100e⁰.²⁵ᵇ = 1000

Divide by 100

e⁰.²⁵ᵇ = 10

So, we have

0.25d = ln(10)

Evaluate

0.25d = 2.3

Divide

d = 9.2

Hence, the number of days is 9.2

Read more about exponential functions at

https://brainly.com/question/2456547

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