yeah I didn't pay attention today ​

Answer:

-4, -1, 4

95

Step-by-step explanation:

when n is 1

n² - 5 = 1² - 5

1 - 5 = -4

when n is 2

n² - 5 = 2² - 5

4 - 5 = -1

when n is 3

n² -5 = 3² - 5

9 - 5 = 4

10th term, when n is 10

n² - 5 = 10² - 5

100 - 5 = 95

The 34th term of the sequence 158, 155, 152 ...... is 59

The sequence is as follows:

158, 155, 152 ......

let

a = first term = 158

d = common difference = 155 - 158 = -3

Using Arithmetic progression formula, let's find the 34th term as follows:

aₙ = a + (n - 1)d

a₃₄ = 158 + (34 - 1)-3

a₃₄ = 158 + (33)(-3)

a₃₄ = 158 - 99

a₃₄ = 59

Therefore, the 34th term of the sequence is 59.

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[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]

[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]

Answer:

yysywywyyw7e7eueuuwuwuuwueu3u3

The frequency of this motion is 3 Hz

The standard equation of an oscillation is given by:

x = A cos(ωt + Ф)

Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.

Given the equation:

x = 3 cos(6πt + π/2)

Hence;

ω = 6π

2πf = 6π

f = 3 Hz

The frequency of this motion is 3 Hz

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Answer:

91 - 74 = 17

Step-by-step explanation:

The range is the difference between the highest and lowest values in a set of numbers.

Answer:

260≤67.5+35x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

A,B and C would be the inside of the plane not outside.

Answer:

$4.99

Step-by-step explanation:

$54.99-$50.00=$4.99

Answer:

Step-by-step explanation:

cake: $54.99

sally money: $50.00

54.99-50= $4.99 lol

Answer:

Mr. Pham  with 2/7

Step-by-step explanation:

2/7 = 0.286

1/4= 0.25

so 2/7 is ur correct answer.

Answer:

B. LXYB.

Step-by-step explanation:

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows at the same time create therefore two similar right-angled triangular

triangles.

that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.

so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.

therefore,

1.57 × f = 50.5

f = 50.5 / 1.57 = 32.1656051...

the height of the tower is then

3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m

The constant of variation of the data point is 8.

An equation is an expression that shows the relationship between two or more variables and numbers.

If two variables are proportional, they can be represented by:

y ∝ x

y = kx

k  is the constant of variation.

For the point (9, 72):

72 = 9k

k = 8

For the point (4, 32):

32 = 4k

k = 8

For the point (7, 56):

56 = 7k

k = 8

The constant of variation of the data point is 8.

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We want to write and solve a system of equations to model the given situation.

The answers are:

A)

y =  50 + 4*x

y = 17 + 7*x

B) after 11 weeks.

C) 94 subscribers.

First, we must find the two linear equations, we know that Robin has 50 subscribers and she gets another 4 per week.

Then for Robin, we can write:

y = R(x) = 50 + 4*x

The equation that models the number of subscribers that Robin has at week x.

Dimitri at the moment has 17 subscribers and wins 7 per week, then his equation is:

y = D(x) = 17 + 7*x

A) Then the system of equations is just:

y =  50 + 4*x

y = 17 + 7*x

B) Now we must solve the system.

Notice that in both equations we have y isolated, then we can write:

50 + 4*x = y = 17 + 7*x

50 + 4*x =17 + 7*x

Now we can solve this for x:

50 + 4*x =17 + 7*x

50 - 17 = 7*x - 4*x

33 = 3*x

33/3 = 11 = x

This means that at week 11 they will have the same number of subscribers.

C) To get this we just need to evaluate any one of the two linear equations in x = 11

D(11) = 17 + 7*11 = 94

Both of them will have 94 subscribers.

If you want to learn more about systems of equations, you can read:

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Answer:

Option D

Step-by-step explanation:

a^2 + b^2 = c^2

5^2+b^2=9^2

25+b^2=81

b^2=56

b=2√14

Answer: 1.75

Step-by-step explanation:

5.25 / 3 = 1.75

1.75 x 4 = 7

7 + 5.25 = 12.25

1.75 x 7 = 12.25

since they are the same answer it's right

Answer:

pi

Step-by-step explanation:

Answer:

Perimeter= 40

Area= 120.7

Step-by-step explanation:

Answer: $0.55

Step-by-step explanation:

$4.95/9=$0.55 ( 1 ounce frozen yogurt)

A shop charges $4.95 for 9 ounces frozen yogurt, then the cost of per ounce yogurt is $0.55.

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data in the question,

Price of 9 ounce yogurt = $4.95

Then,

The cost of per ounce of yogurt = 4.95/9 = $0.55.

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#SPJ2

Answer:

m / 6/7 = 5/6

m = 35

Step-by-step explanation:

Answer:

Step-by-step explanation:

The quotient of m and 6/7 is 5/6:

Answer:

There are 35 boys in the class.

Step-by-step explanation:

Girls to Boys ratio = 3:7

Total number of students in class = 50

Let total number of girls be '3x' and total number of boys be '7x'

Total number of girls + Total number of boys = Total number of students

3x + 7x = 50

10x = 50

x = 50/10

x = 5

[tex] \therefore [/tex]

Total number of girls = 3 × 5 = 15

Total number of boys = 7 × 5 = 35

Answer:

Step-by-step explanation:

Given:

x1 = -1

x2 = 6

y1 = 2

y2 = 3

Solution:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 3 - 2 ) / ( 6 - -1 )

m = 1 / ( 6 + 1 )

m = 1/7

Then,

y - y1 = m ( x - x1 )

y - 2 = 1/7 ( x - -1)

y - 2 = 1/7 ( x + 1 )

y - 2 = 1/7x + 1/7

y = 1/7x + 1/7 + 2

y = 1/7x + 15/7

Answer:

Last one

Step-by-step explanation:

17 times 3 is 51

Answer:

is it the first one

Step-by-step explanation:

cause

51 divide by 3 is 17

Answer:

(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)

Answer:

Open this doc for full answers and steps

Step-by-step explanation:

open the link!

blink.org

Answer:

The answer is 9 uniforms.

Step-by-step explanation:

You can set up the equation like this

Total Cost = Total Cost of Equipment + Total Cost of Uniforms

So the equation would be:

692 = 422 + 30 * (# of Uniforms)

So minus both sides by 422 and you get

692-422 = 30 * (# of Uniforms)

270 = 30 * (# of Uniforms)

Then divide both sides by 30 and you get

9 = # of Uniforms

So therefore, the answer is 9 Uniforms

[tex] {x}^{2} + 4x - 4 = 8 \\ = > {x}^{2} + 4x - 4 - 8 = 0 \\ = > {x}^{2} + 4x - 12 = 0 \\ = > {x}^{2} + 6x - 2x - 12 = 0 \\ = > x(x + 6) - 2(x + 6) = 0 \\ = > (x - 2)(x + 6) = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 6 [/tex]

Answer:

x = -6 or x = 2

Hope you could get an idea from here.

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