Find the first five terms of the sequence described.

Answer:

16.26°

Step-by-step explanation:

1. tanΘ= 7/24

2.[tex]tan^-1(\frac{7}{24} ) =[/tex]Θ

3. Θ = 16.26°

Answer:

(0,-6)

Step-by-step explanation:

9x + 3y = -18

Solve for y to get equation in slope intercept form

( y = mx + b )

9x + 3y = -18

Subtract 9x from both sides

9x - 9x + 3y = -18 - 9x

3y = -9x - 18

Divide both sides by 3

3y/3 = y

-9x - 18 / 3 = -3x - 6

We're left with y = -3x - 6

The equation is now in y intercept form

y = mx + b where b = y intercept

-6 takes the spot of b therefore the y intercept would be at (0,-6)

Answer:

y=43x-210

Step-by-step explanation:

Distribute 43

then add five on each side

you get y=43x-210, 43 and 210 cannot be sipilified so that is the answer.

Answer:

y=43x-210

Step-by-step explanation:

Distribute 43 through the parenthesis.

y-5=43x-215

Move the constant to the right and change its sign.

y=43x-215+5

Calculate sum.

y=43x-210

Hope i helped :)

Answer:

x = 91

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

x + 89 = 180

x = 91

Answer:

Segment XY congruent to Segment IJ is required.

Step-by-step explanation:

It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.

Answer:

270 & 30

Step-by-step explanation:

let the number is n,

the equation :

n× 1/9 n= 27(n +1/9 n)

1/9 n² = 27n + 3n

1/9 n² = 30n

1/9n²- 30n = 0

n(1/9n -30)= 0

n = 0 or

1/9n = 30 => n = 30×9 = 270

270 is a number,

the other : 270/9 = 30

[tex]\displaystyle\ 2x^2+7x+5\sqrt{2} =0 \\\\\boxed{D=7^2-4\cdot2\cdot 5\sqrt{2} =49-40\sqrt{2} }[/tex]

Answers:

Domain = {-1, 2, 1, 8, 9}

Range = {2, 51, 3, 22}

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

Explanation:

The domain is the set of allowed inputs of a function. So it's the set of possible x values. We simply list the x coordinates of each point to form the domain.

The range is the set of possible y values or y outputs. So we simply list the y coordinates of the points. We toss out any duplicates. Since order doesn't matter in a set, we can have the values listed any way we want.

Side notes:

Answer:

496 in.²

346 mm²

880 in.²

168 cm³

960 m³

420 yd³

Step-by-step explanation:

SA = 2(wl + hl + hw)

SA = 2 · (8 · 16 + 5 · 16 + 5 · 8)

SA = 496

SA = 2(wl + hl + hw)

SA = 2 · (5 · 13 + 6 · 13 + 6 · 5)

SA = 346

SA = 2(wl + hl + hw)

SA = 2 · (4 · 20 + 15 · 20 + 15 · 4)

SA = 880

V = whl

V = 4 · 7 · 6

V = 168

V = whl

V = 10 · 8 · 12

V = 960

V = whl

V = 14 · 3 · 10

V = 420

Answer:

x = 25.5

Step-by-step explanation:

suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees

2x + x + x 78 = 180 add like terms then subtract 78 from both sides

4x = 102 divide both sides by 4

x = 25.5

Answer:

well I'm not gonna explain it but

#1 is C or the 3rd one (DOMIAN)

#2 is B or the second one (RANGE)

Answer:

DOMAIN OF THE FUNCTION :-

all real numbers

RANGE :-

all real numbers greater than or equal to - 2

as we the graph's vertex is at -2 so basically -2 is the lowest value of the function.

Answer:

x = -8 and y = 6

Step-by-step explanation:

3x - 4y = -24

Solve for y - intercept

3x - 4y = -24

To find y intercept , substitute x = 0

3 × 0 - 4y = -24

Any expression multiplied by 0 equals 0.

0 - 4y = -24

-4y = -24

Divide both sides by -4

-4y / -4 = -24/-4

y = 6

Similarly, Solve for x-intercept

3x - 4y = -24

To find x- intercept , susbtitute y = 0

3x - 4 × 0 = -24

Any expression multiplied by 0 equals 0.

3x - 0 = -24

3x = -24

Divide both sides by 3

3x / 3 = -24 / 3

x = -8

Therefore, y = 6 and x = -8

Answer:

1. The third quartile

2. The quartile

3. Four

4. 25

5. The second quartile, Q₂

6. 20th percentile

7. Decile

8. Percentile

9. D₈

10. The third quartile, Q₃

Step-by-step explanation:

1. The other term(s) for Q₃ is third quartile (or upper quartile). It is the mid point between the distribution's largest number and the median

2. The measure of position divided into four equal parts is the quartile

3. The quartile is the division of the data at three points (Q₁, Q₂, and Q₃) into four equal parts equal parts

4. Q₁, which is the first quartile is equivalent to the 25th percentile

5. The other term for the median is the second quartile, Q₂

6. D₂ which is the second decile (a decile divides the data into 10 equal parts) is equivalent to 20th percentile

7. The decile, D, divides a given data into 10 equal parts

8. The percentile divides a given data into 100 equal parts

9. The decile equivalent to P80, which is the 80th percentile, is D₈

10. The quartile equivalent to P75, which is the 75th percentile or the three quarter mark point of the data is equivalent to the the third quartile, Q₃

Answer:

[tex]{ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}[/tex]

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

 So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

-3 = -3x so

x = 1

The coordinate on the x-axis such that AC = BC is (1, 0)

Answer:

Step-by-step explanation:

1.

7 > 0.7 > 0.07 > 0.007

2.

5h - 15hg

taking 5h common

5h (1 - 3g)

3.

5(2x- 1) = 35

dividing both sides by 5

2x - 1 = 7

2x = 7 + 1

2x = 8

x = 4

4.

if x is an odd number x + 2 will also be odd.

for example

11 is an odd number

on adding 2 we get 13 which is also an odd number.

Answer:

-1 Not in domain

0 In domain

1 In domain

Step-by-step explanation:

The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:

[tex]x\geq0[/tex]

Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;

-1 => less than zero; Not in domain

0 => equal to zero; In domain

1  => greater than zero: In domain

Answer:

Null set

Step-by-step explanation:

Odd(0)

Even (E)

Prime (P)

Answer:

Its A since the other person didnt say it

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

a prime factor is a factor that is a prime number

a prime number is a number that will have a fraction in the quotient if it's divided by any number other than itself

2 is the only prime factor shared between 8 and 12

Answer:

The answer is x = -3.

Step-by-step explanation:

To solve for (x), start by realizing that line segment IJ and line segment JK sum up to line segment IK, which equals 5. These line segments can then be turned into an equation, and the equation will look like [tex]7+x+2x+7=5[/tex].

Next, begin to solve the equation by combining like terms, which will look like [tex]3x+14=5[/tex]. Then, subtract 14 from both sides of the equation, which will look like [tex]3x=-9[/tex], and divide both sides by 3 and simplify, which will look like [tex]x=-3[/tex]. The final answer is x = -3.

Answer:

the answer is probably complicated but this is POSSIBLY similar to your problem

Step-by-step explanation:

x^2 - 1x - 3x + 3

x^2 - 4x + 3

Answer:

AB= A. (50)^1/2

BC= B. (65)^1/2

AC= D. (145)^1/2

<ABC≈ 105

Answer:

([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])

Step-by-step explanation:

Hi there!

We are given the following system of equations:

-3x-3y=3

-5x+y=13

and we need to find the solution (the point at which the 2 lines intersect)  

let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable

in the second equation, add 5x to both sides to isolate y by itself

y=5x+13

now substitute 5x+13 as y in -3x-3y=3

-3x-3(5x+13)=3

do the distributive property

-3x-15x-39=3

combine like terms

-18x-39=3

add 39 to both sides

-18x=42

divide both sides by -18

x=[tex]\frac{-7}{3}[/tex]

now we need to find y

remember: y=5x+13

substitute [tex]\frac{-7}{3}[/tex] as x in y=5x+13

y=5([tex]\frac{-7}{3}[/tex])+13

multiply

y=[tex]\frac{-35}{3}[/tex]+13

add

y=[tex]\frac{4}{3}[/tex]

So the answer is x=[tex]\frac{-7}{3}[/tex], y=[tex]\frac{4}{3}[/tex]. As a point, it's ([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])

Hope this helps! :)

Answer:

5/6

Step-by-step explanation:

first form numerator you will multiply by π it means 3.14 multiply 11

the answer equals 34.54 ..and then you will use √ it means square root....so the answer is 5

the annwer is

5/6

Answer:

Step-by-step explanation:

[tex]\frac{11\pi }{6}[/tex] =  11 × [tex]\frac{\pi }{6}[/tex] = (12 - 1) × [tex]\frac{\pi }{6}[/tex]

The terminal point located in IV quarter ⇒ x-coordinate is positive and y-coordinate is negative.

(x, y) = ( [tex]\frac{\sqrt{3} }{2}[/tex] , - [tex]\frac{1}{2}[/tex] )

Answer:

x + (x-42.2) = 90

2x - 42.2 = 90

add 42.2 to both sides

2x = 132.2

divide each side by 2

x = 66.1

find the measure of the other angle

66.1 - 42.2 = 23.9

Step-by-step explanation:

Answer:

66.1° and 23.9°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°

So equation : x + x - 42.2 = 90

2x - 42.2 = 90

2x = 132.2

x = 66.1

66.1° is the "other complementary angle"

This angle is 66.1 - 42.2 = 23.9°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

the first graph

Answer:

1st option

Step-by-step explanation:

If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.

Answered by GAUTHMATH

Note: There must be -4 instead of 4 otherwise all options are incorrect.

Given:

A polynomial function has a leading coefficient of 3 and roots -4, 1, and 2, all with multiplicity 1.

To find:

The polynomial function.

Solution:

The general polynomial function is defined as:

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]

Where, a is the leading coefficient, [tex]c_1,c_2,...,c_n[/tex] are the zeros  with multiplicity [tex]m_1,m_2,...,m_n[/tex] respectively.

It is given that a polynomial function has a leading coefficient of 3 and roots 4, 1, and 2, all with multiplicity 1. So, the polynomial function is defined as:

[tex]P(x)=3(x-(-4))^1(x-1)^1(x-2)^1[/tex]

[tex]P(x)=3(x+4)(x-1)(x-2)[/tex]

Therefore, the correct option is A.

Answer:

1 day=10outfits

5days=10outfits×5

=50outfits

Step-by-step explanation:

hope this is helpful

Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.

To calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:

10 outfits/day × 5 days = 50 outfit combinations

Therefore, you can wear the 10 outfits in 50 different ways throughout the week.

Learn more about permutations

https://brainly.com/question/4658834

#SPJ2

Answer:

$68.25

Step-by-step explanation:

To get the sales tax, you must notice that the sales tax is 7% of 975.

That is equal to:

975 × 0.07

0.07 is equal to 7%, or [tex]\frac{7}{100}[/tex].

The answer to the equation is 68.25.