The first rule is to add 10, then divide by 2 starting from 2. The second rule is to multiply by 3, then subtract 2 starting from 2. What are the first four ordered pairs using the two sequences?

Answer:

x = 35,000

y = 30,000

Step-by-step explanation:

5x + 2y = 235,000

2x + 3y = 160,000

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the answer is the litter B

Answer:

B.) Graph B

Step-by-step explanation:

You can determine which is the correct graph by verifying the points on the graphs with the equation. Remember, the leftmost number in the parentheses is the "x-value" and the rightmost number is the "y-value".

Graph B has the points (0,2) and (2,6) on the line.

y = 2(0) + 2

y = 2

y = 2(2) + 2

y = 4 + 2

y = 6

As you can see, when the "x-values" are plugged into the equation, the value generated matches the "y-value" of the point. Not all the points on the other graphs are accurate according to the equation. You can prove this to yourself by following the same method as above.

Answer:

Iris is a saleswoman whose base pay plus commissions amounted to $69,464 last year. If her base pay was $39,710 and she made $78,300 in sales last year,

what was her rate of commission?

Commissions were $29,590 against sales of $78,300

Her rate of commission was 37.79%

Step-by-step explanation:

Answer:

option B

Explanation:

Recursive Formula: aₙ = aₙ₋₁ + d

Given Sequence: 7, 4, 1, -2, -5,....

Identify the common difference:

second term - first term

4 - 7 = -3  or 1 - 4 = -3 or -2 - 1 = -3

So formula:

[tex]\sf a_n = a_{n-1}-3[/tex], where [tex]\sf a_1 = 7[/tex]

Find next term:

[tex]\sf a_6 = a_{6-1}-3 = -5-3 = -8[/tex]

Answer:

The total surface area of the given prism is 152 square centimeters.

Explanation:

I'm very brainly.

Answer: its 152 squared cm

Step-by-step explanation:

i just used a app to answer

Step-by-step explanation:

imagine that point (-2, -5) on the coordinate grid.

in what quadrant is it ?

it is, where both x and y are negative : the bottom left (3rd) quadrant.

and this is the same quadrant for the circle and the placement of the angle of the point on the circumference to the x-axis (the basic diameter).

what signs do sine and cosine of angles in the third quadrant have ?

sine goes below the x-axis and is therefore negative.

cosine is to the left of the y-axis and is therefore negative.

that eliminates answer c (with positive sine and cosine values).

as tan(x) = sin(x)/cos(x)

and

cot(x) = cos(x)/sin(x)

both, tan and cot, must be positive (-/- = +).

that eliminates answers a and d.

but there is also a problem with the remaining answer b :

cot(x) = 1/tan(x), as the above definitions tell us.

but answer b says that they are both 5/2. and that cannot be.

so, there is no correct answer option.

therefore, let's calculate the real results, and then you need to find the right option in the original problem definition without typos.

the point again is (-2, -5). x = -2, y = -5.

the center of the circle is at the origin.

so, the radius of the circle is per Pythagoras

r = sqrt(x² + y²) = sqrt((-2)² + (-5)²) = sqrt(4 + 25) = sqrt(29)

sin(angle) = y/r = -5/sqrt(29) = -5×sqrt(29)/29

cos(angle) = x/r = -2/sqrt(29) = -2×sqrt(29)/29

tan = sin/cos = -5/sqrt(29) / -2/sqrt(29) = -5/-2 = 5/2

cot = cos/sin = -2/sqrt(29) / -5/sqrt(29) = -2/-5 = 2/5

csc(angle) = r/y = sqrt(29)/-5 = -sqrt(29)/5

sec(angle) = r/x = sqrt(29)/-2 = -sqrt(29)/2

again, except for the error in answer b about cot, it would all point to answer b.

Answer:

Part A 1 solution

Part B 1,4

Answer:

Part A : It has one solution because the lines intersect at one point

Part B : The solution is the points where the lines intersect

Which is (3,4)

Answer:

purple

Step-by-step explanation:

Answer:2a/(3b−c)

substitute a=6 b=4 c=8

(2*6)/((3*4) -8)

12/(12 -8)

12/(4)

3

Choice B

2a+b−3  when a=5 b=2

2(5) +2-3

10+2-3

12-3

9

Choice B

8ab/2bc

rearrange to make the math easier

8/2 * a/c * b/b

4 * a/c *1

4 * 3/4

rearrange to make the math easier

4/4 *3

3

Step-by-step explanation:

Answer:

the answer to the question is D

Answer:

The answer is actually B

Step-by-step explanation:

the top layer is 5 x 5 x 2

the bottom layer is 5 x 2 x 10

5 x 5 = 25 and 25 x 2 = 50

5 x 2 = 10 and 10 x 10 = 100

100 + 50 = 150

Answer:

-3, 4

Explanation:

x² + x - 12

factorize

x² + 4x -3x - 12

take out common terms

x(x + 4) -3(x + 4)

collect into groups

(x-3)(x+4)

p = -3, q = 4

Answer:

C.  -3 and 4

Step-by-step explanation:

In order to factor a quadratic equation in the form [tex]ax^2+bx+c[/tex]
we need to find a pair of numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

Therefore, in order to factor [tex]x^2+x-12[/tex] we need to find a pair of numbers that multiply to -12 and sum to 1.

The only pair of numbers in the table that sum to 1 are:

p = -3 and q = 4

Therefore, the solution is option C.

Answer:

m=5

Step-by-step explanation:

If the triangles are similar, the ratios of the side lengths are the same

AB        AC  

-----  = -------

QR         QS

6         3

----  = -----

10        m

Using cross products

6m = 3*10

6m = 30

Divide each side by 6

6m/6 = 30/6

m = 5

Answer: 15.095$

Step-by-step explanation:

Answer:

2 feet

Step-by-step explanation:

The shoreline is eroding at 1/3 foot per 2 months. There are 12 months in a year so you multiply 1/3 x 6 and you get 2.

Answer:

$4742.10

Step-by-step explanation:

Exponential depreciation formula :-

, where y is the value of good after t years , r is rate of depreciation and A is the initial value.

Given : A= $20800  ; r=10.75%=0.1075  

The equation models this situation:

Then, the value of car after t=13 years :-

Hence, the value of car after 13 years = $4742.10

Answer:

  $3181.42

Step-by-step explanation:

The balance of an account earning compound interest is given by the formula ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r for t years, compounded n times per year.

__

You have P=1580, r=0.10, n=365, t=7, so the balance is ...

  A = $1580(1 +0.10/365)^(365×7) ≈ $3181.42

_____

Additional comment

Your graphing calculator may have a financial function that will calculate this for you.

4v points in the same direction as v, so all you need to do is normalize v.

Simply multiply it by the reciprocal of its magnitude:

[tex]v = (-1, 4, 2) \implies \|v\| = \sqrt{(-1)^2 + 4^2 + 2^2} = \sqrt{21}[/tex]

[tex]\implies \dfrac{v}{\|v\|} = \dfrac{(-1,4,2)}{\sqrt{21}} = \left(-\dfrac1{\sqrt{21}}, \dfrac4{\sqrt{21}}, \dfrac2{\sqrt{21}}\right)[/tex]

The height of the guest in inches will be 68.93 and in feet is 5.7.

It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

By applying the Pythagorean theorem:-

P²  =  H²  - B²

P²  = 84²  -   48²

P²  =  4725

P = √4725

P = 68.73 inches

Now the height in feet will be 68.73  /  12  = 5.7 feet.

Therefore the height of the guest in inches will be 68.93 and in feet is 5.7.

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Answer:

[tex] \frac{m}{h} = \frac{165}{7} [/tex]

Answer:

791,800

Step-by-step explanation:

Answer: 791800

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

[tex](x-4)(x^2+1)[/tex]

Step-by-step explanation:

Answer:

216 degrees

Step-by-step explanation:

To convert radian measure to a degree, substitute 180 degrees in for pi.

6(180)/5=216 degrees

Therefore, your answer is 216 degrees

The velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.

Velocity is the rate of change of its position with respect to time.

[tex]V = \dfrac{dy}{dt}[/tex]

Given the velocity(v) in feet per second of a roller coaster at the bottom of a hill is related to the vertical drop(h) in feet and the velocity(v°) in feet per second of the coaster at the top of the hill by the formula v°=√(v²-64h).

Therefore, the velocity of the coaster at the top should be,

[tex]v^o=\sqrt{(v^2-64h)}\\\\v^o=\sqrt{[57^2-(64\times 50)]}\\\\v^o=\sqrt{49}\\\\v^o = 7\rm\ feet/second[/tex]

Hence, the velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.

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The length of arc UT in the diagram given, to the nearest tenth, is calculated as: 3.9 meters.

Length of arc = ∅/360 × 2πr

Given the following:

Radius = 1/2(VS) = 1/2(12) = 6 meters

∅ = 90 - (180 - 127) = 37°

Length of arc UT = ∅/360 × 2πr = 37/360 × 2π(6) = 3.9 meters

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