How do you know it is positive or negative in exponents.

Answer:

[tex]a_{37}=249[/tex]

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

Plug those into the formula:

[tex]a_{37}=-39+(37-1)8[/tex]

Then solve:

[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]

Answer:

[tex]f^{-1}[/tex] (x) = 6 - 4x

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ( multiply through by 4 to clear the fractions )

4y = - x + 6 ( subtract 6 from both sides )

4y - 6 = - x ( multiply through by - 1 )

- 4y + 6 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 6 - 4x

Answer:

Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

You input will always be your x so you just substitute x with 10 and simplify. Which is 30 minus 6, thus 24. :)

Answer:

It should be A & D

Step-by-step explanation:

These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.

Answer:

slope = 3

y-intercept = -5

Step-by-step explanation:

y = mx + b

m = slope; b = y-intercept

y = 3x - 5

y = 3x + (-5)

m = 3 = slope

b = -5 = y-intercept

Answer:

The slope is 3 and the y-intercept is negative 5.

The slope is defined in the equation by the number before the x and the y-intercept is defined in the equation by the number that follows. If there is no number then the y-intercept is zero.

Step-by-step explanation:

hope this helps. . . <3

good luck!     UwU

Answer:

r = 5q / (p + 10)

Step-by-step explanation:

p = 5(q - 2r)/r

multiply both sides by r

pr = 5(q - 2r)

distribute

pr = 5q  - 10r

add 10r to both sides

pr + 10r = 5q

Factor out r

r(p + 10) = 5q

divide both sides by p + 10

r = 5q / (p + 10)

Answer:

The area is 24

Step-by-step explanation:

Divide the quadrilateral into 4 triangles (two identical at the top and two identical at the bottom).

Then find the area of each triangle and add it all together

Area of Triangle= (base x height)/2

(3 x 3)/2  +  (3 x 3)/2  + (5 x 3)/2  + (5 x 3)/2

this equation gives us 24 as the area

The given information on the diagram of the projector and the image can

be used to prove the congruency of the triangles.

∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and

segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem

Reasons:

The figure of the projector that casts an image on the screen is attached.

The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]

From the drawing, we have;

∠ABD ≅ ∠CBD by equal number arc mark.

The two column proof is therefore, presented as follows;

Statement [tex]{}[/tex]                                            Reason

[tex]\overline {BD}[/tex] is perpendicular bisector of   [tex]{}[/tex][tex]\overline {AC}[/tex]   Given

[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex]   [tex]{}[/tex]                                             Definition of bisected line [tex]\overline {AC}[/tex]  

∠BDC = 90°       [tex]{}[/tex]                                      [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠BDA = 90°                         [tex]{}[/tex]                    [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠ABD ≅ ∠CBD [tex]{}[/tex]                                       Given on the diagram

ΔABD ≅ ΔCBD  [tex]{}[/tex]                          by Angle-Angle-Side AAS Congruency rule

The Angle-Angle-Side, AAS, Congruency postulate states that two

triangles are congruent where two adjacent angles and a non included side

on one triangle are congruent to the corresponding two adjacent angles

and a non included side on the other triangle.

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Answer:

Translation 2 units up and 4 units to the left.

Answer:

447 lbs

Step-by-step explanation:

175+154+118=447

Answer:

Answer:

Its 65

1ft=304.8mm

Answer:

[tex]\huge\boxed{E)-\frac{100}{17}}[/tex]

Step-by-step explanation:

The multiplicative inverse of the fraction [tex]\frac{a}{b}[/tex]  is simply [tex]\frac{b}{a}[/tex].  The sign would not change for this reason.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Step-by-step explanation:

Let H and P represent the number of history and physics textbooks.

We are told that:

1)  H + P = 236/week, and

2)  H = 3P                                     [A disgrace, but that's a different problem]

We can substitute the definition of H in the second equation into the first:

H + P = 236/week

3P + P = 236/week

4P = 236

P =  59

H = 3P, so H = 3*(59) or 177

59 Physics and 177 History books for a total of 236 books sold that week.

Answer:

4th term

Step-by-step explanation:

Equate the nth term formula to 54 and solve for n

3n² - n + 10 = 54 ( subtract 54 from both sides )

3n² - n - 44 = 0

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × - 44 = - 132 and sum = - 1

The factors are - 12 and + 11

Use these factors to split the n- term

3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )

3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term

(n - 4)(3n + 11) = 0

Equate each factor to zero and solve for n

n - 4 = 0 ⇒ n = 4

3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - [tex]\frac{11}{3}[/tex]

Since n > 0 then n = 4

The 4th term of the sequence is 54.

A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.

According to the given question the nth term of a sequence is 3n² - n + 10.

We have to determine which term is equal to 54 or the value of and it must be an integer.

So, 3n² - n + 10 = 54.

3n² - n - 44 = 0.

3n² - 12n + 11n - 44 = 0.

3n(n-4) +11(n-4) = 0.

(3n+11) = 0 OR (n-4) = 0.

n = - 11/3 OR n = 4.          ( given the term no. is a positive integer ).

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Answer:

OP question dude..

Step-by-step explanation:

Over Powered

Answer: 256.

Step-by-step explanation:

✨maThS✨

Answer:

Step-by-step explanation:

320000 is your answer

Answer:

[tex]9x^{2} - 12y^{2} - 11x[/tex]

Step-by-step explanation:

[tex](8x^{2} - 9y^{2} - 4x) + (x^{2} - 3y^{2} -7x)\\(8x^{2} + x^{2} ) + (-9y^{2} - 3y^{2} ) + (-4x - 7x)\\9x^{2} - 12y^{2} - 11x[/tex]

In the first step, I rearranged the equation and put like terms together.

Then I just combined the like terms.

I hope this helps!

Answer:

Step-by-step explanation:

12-b

13-c

14-a

15-d

16-b

17-c

18-d]

Step-by-step explanation:

Answer:

20258. The missing digit is a 5

Step-by-step explanation:

Ok, let's write the number in a more creative way.  That's [tex]21 000 - 700 = 20 300[/tex],  minus something else. That something else has to be a multiple of 7, be less than 100, and has to end with a 2. Now start writing down the multiplication table for 7 and find how many of them ends with 2. 42 comes to mind, and that's the only one. (you can go up to 7x14=98 before having one digit too many).

That brings your number to be written as [tex]21000-700 -42 = 20258.[/tex]

In theory there was a criteria to see if a number was divisible by 7, but I've never learned it.

I agree with the other person. The answer is 5.

Here's how we can check to see if a number is divisible by 7.

If the result of the third step is a multiple of 7, then so is the original value itself. We can repeat the steps to progressively shrink the values down so we have something more manageable.

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

Let's use those steps to see if 20,258 is a multiple of 7

It's not clear if 2009 is a multiple of 7 or not; however, we can apply the same three steps to shrink the number down. This process can be repeated as many times as you like.

Like before, the result 182 is fairly big and it's not clear if we have a multiple of 7. Luckily, we only need to do one more round of those steps.

The result 14 is a multiple of 7, which means that 182 is also multiple of 7. By a domino-like chain reaction, the values 2009 and 20258 are also multiples of 7.

Notes:

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

We've just verified that 20258 is a multiple of 7. Let's go over an example a non-multiple of 7. I'll add 1 to the number 20258 so we are guaranteed that it cannot possibly be a multiple of 7. Doing the round of steps as shown above should get us to some smaller non-multiple of 7.

Repeat the steps until we get something more manageable

Let's do one more round

The value 6 is not a multiple of 7, and neither are 186 and 2007 and 20259.

If you have your calculator with you, then you should see that dividing any of those values over 7 will not lead to a whole number result.

This is a fairly quick and efficient way to check divisibility by 7 if you are in a hurry.

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

took the test

Answer:

True

Step-by-step explanation:

Answer:

n = 10, n = -2

Step-by-step explanation:

hope it helps.

Answer:

c

Step-by-step explanation:

Answer:

yes as if two opposite sides of a four sided quadrilateral turns up to be symmetry or same then it is a rectangle not a square as a square has four lines of symmetry

The slope of the handicap ramp is 1/2

The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).

m = (y₂ - y₁)/(x₂ - x₁)

Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).

Substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (5d - 4d)/(3d - d)

m = d/2d

m = 1/2

So, the slope of the handicap ramp is 1/2

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