The nth term of a sequence is 3n2 - n + 10 where n is a positive integer. Which term in the sequence is equal to 54?​

Answer:

C. (2,7)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In order to find which ordered pair makes the equation true, we have to understand that the format of a coordinate pair is (x, y)

Knowing that, we can plug in the numbers from each coordinate pair that correspond to the x and y values of the equation

For instance, for A (-1, 5) we would plug in 5 for x and -1 for y

Now we have -1 = 3(5) + 1

Multiply 3 and 5

-1 = 15 +1

Add

-1 = 16

The numbers on each side are not equal so this is not the answer

Now for B (10,3)

We do the same thing, plug in the numbers

3 = 3(10) + 1

Multiply

3 = 30+1

3 = 31

This choice is false as well

Option C (2, 7)

Plug in the numbers

7 = 3(2) + 1

Multiply

7 = 6+1

Add

7 =  7

Thus C is the answer as it is the same number on both sides~!

Hope this helpsss! :D

Answer:

24c-14

Step-by-step explanation:

to find the perimeter, simply add up the values of the three sides:

(7c-5) + (7c-5) + (10c-4) = 7c-5+7c-5+10c-4 = (7c + 7c + 10c) + (-5 -5 -4) = 24c -14

Answer:

Step-by-step explanation:

slope are hard tbh

Answer:

equals 1x32 mc2

Step-by-step explanation:

mass–energy equivalence formula E

Answer:

a=36

Step-by-step explanation:

The given angles are corresponding

2a+3a=180

5a=180

a=180/5=36

Answer:

check online for more information

Answer:

the answer would be 1,-8

The future value of the mutual  fund after 15 years is equal to $1,256.55.

Given the following data:

To find the future value of the mutual  fund after 15 years:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

Substituting the given parameters into the formula, we have;

[tex]A = 750(1 + 0.035)^{15}\\\\A = 750(1.035)^{15}\\\\A = 750(1.6754)[/tex]

Future value, A = $1,256.55

Read more: https://brainly.com/question/22339845

Answer:

y=-10x+25

Step-by-step explanation:

Answer:

  2y^2 +7y +11

Step-by-step explanation:

The remaining length is the difference between the original and the length cut off:

  remaining = whole length - piece length

  remaining = (3y^2 +7y +1) -(y^2 -10)

  = 3y^2 +7y +1 -y^2 +10  = (3 -1)y^2 +7y +(1 +10)

  remaining = 2y^2 +7y +11

Answer:

Answers below

Step-by-step explanation:

How fast did the tree grow?

28 centimeters per year

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

5.5 years

Hope this helps!

Answer:

81 x² - 4 y²

Answer C is correct.

Step-by-step explanation:

First, you have to find the area of the larger square.

Area of the larger square = (9x) × (9x)

                                          = 81 x²

Then you have to find the area of the un shaded square,

Area of the unshaded square = (2y) × (2y)

                                                  = 4 y²

Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.

Area of the shaded region = Area of the larger square - Area of the unshaded square

                                            = 81 x² - 4 y²

Hope this helps you.

Let me know if you have any other questions :-)

Answer: True.

Step-by-step explanation:

do the math and u will see

No, The segments shown below could not form a triangle.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Three line segment with measure 9 , 4 and 15 are shown.

We know that;

The sum of two sides of a triangle are always greater than the third side,

Here, 9 + 4 = 13 < 15

Hence, The segments shown below could not form a triangle.

Thus, The segments shown below could not form a triangle.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

Step-by-step explanation:

|x|=x,if x>0

|x|=-x,if x<0

(a)

|7-9|=|-2|=-(-2)=2

(b)

|7|-9=7-9=-2

Answer:

[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

Step-by-step explanation:

[tex]\sf 6a^2 + 10 = 0[/tex]

We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]

[tex]\sf 6a^2 + 10 = 0[/tex]

Substitute 6: a, 0: b, 10: c

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]

→ Square 0

→ Multiply -4 * 6= -24

→ Multiply -24 * 10 = -240

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]

→ Take the square root of -240:

→ Multiply 2 * 6= 12

Now, Separate solutions:

[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]

Now, Separate solutions:

First, solve the equation when ± is plus:

[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

___

Now, solve it when ± is minus:

[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

__________________________________________

[tex]\sf\longmapsto 6a^2+10=0[/tex]

[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)

[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]

[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]

[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]

i stands for iota.

[tex]\sf\longmapsto i=\sqrt{-1}[/tex]

1) 300 squared cm

2) 105 squared cm

3) about 165.75 squared cm

4) about 211.4 squared cm

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 10 = -2(x - 10)

y - 10 = -2x + 20

y = -2x + 20 + 10

y = -2x + 30

When x = 0  ;   y = 0 + 30 = 30         ;  (0,30)

When x = 10 ;   y = -2*10 + 30 = -20 +30 = 10   ; (10 , 10)

When x = 5  ;  y = -2*5 + 30 = -10 + 30 = 20    ; (5 , 20)

Plot ( 0 ,30) ; (10,10)  & (5,20)

Answer:

A

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] = n logx

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3

[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3

[tex]log_{x}[/tex] 8 = 3

8 = x³

2³ = x³ , then

x = 2

2x = x - 4

2x - x = - 4

x = - 4

________

Hope it helps ⚜

Answer:

x=-4

Step-by-step explanation:

2x=x-4

2x-x=-4

x=-4

Proof

2*(-4)=-4-4

-8=-8

Answer:

x = -4/3

Step-by-step explanation:

|3x - 5| = |6x - 1|

=> 3x - 5 = 6x - 1

=> 1 - 5 = 6x - 3x

=> -4 = 3x

=> x = -4/3

Hoped this helped.

Answer:

x = [tex]\frac{-4}{3}[/tex] or x = -1.333333.....

Step-by-step explanation:

3x - 5 = 6x - 1

Move the 3x to the other side by subtracting, because the 3x is positive on the left side.

-5 = 3x - 1

Move -1 to the other side by adding.

-4 = 3x

Divide by 3 to get x

[tex]\frac{-4}{3}[/tex] = x

Hope this helps! <3

Balanced reaction:

[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]

The reaction type is double replacement.

Answer:

B 81x^2 + 4y^2 that's the answer I have

Answer:

Step-by-step explanation:

The shaded region is the difference of the area of square with side 9x and the area of square with side 2y:

Correct choice is C

Answer:

12 words a minute

Step-by-step explanation:

To find the answer all you need to do is divide 60/5

Answer:

12

Step-by-step explanation:

60 divided by 5

Answer:

Part A

The two variables are the amount of pounds that we dont know yet for the nuts and the almonds so we would have to put x for the amount of pounds for pecans and y for the amount of pound for nuts

Part B

2x + 4.50y = 15.25

Step-by-step explanation:

Step-by-step explanation:

x = pounds of pecans bought

y = pounds of almonds bought

x + y = 6

x×2 + y×4.5 = 15.25

x = -y + 6

(-y+6)×2 + y×4.5 = 15.25

-2y + 12 + 4.5y = 15.25

2.5y = 3.25

y = 3.25 / 2.5 = 3 1/4 / 2 1/2 = 13/4 / 5/2 = 13×2 / 4×5 =

= 26/20 = 13/10 = 1.3 pounds

x = -y + 6 = -1.3 + 6 = 4.7 pounds

Cody could buy 4.7 pounds of pecans and 1.3 pounds of almonds.

Answer:

the answer is the third

hope it help

Answer: They are 100 miles apart

Step-by-step explanation:

1 inch = 25 miles

4x25=100

Answer: 100 miles

Step-by-step explanation:

Since we have 25 miles per inch. and there are 4 inches, you would multiply 25 by 4 to get to your answer of 100 miles.

25x4=100