All categories

3 years ago

If T(n) = 5 – 2n, what is the 2nd term?

Mathematics

1 answer:

Hoochie [10]3 years ago

7 0

T(n) = 5 - 2n
t(2) = 5 - 2(2)
t(2) = 5 - 4 = 1
Answer would be 1

You might be interested in

A plane flies 452 miles north and then 767 miles west. What is the magnitude and direction of the plane's resultant vector?

pshichka [43]

Answer:

The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north.

Step-by-step explanation:

• To find the magnitude of the resultant vector, we have to use Pythagoras's theorem:

$\boxed{a^2 = b^2 + c^2}$

where:

a ⇒ hypotenuse (= resultant vector = ? mi)

b, c ⇒ the two other sides of the right-angled triangle (= 452 mil North, 767 mi West).

Using the formula:

resultant² = $452^2 + 767^2$

⇒ resultant = $\sqrt{452^2 + 767^2}$

⇒ resultant = 890.3 mi

• To find the direction, we can find the angle (labeled x in diagram) that the resultant makes with the north direction:

$tan (x) =\frac{767}{452}$

⇒ $x = tan^{-1} (\frac{767}{452} )$

⇒ $x = \bf{59.5 \textdegree}$

∴ The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north .

6 0

2 years ago

Read 2 more answers

Which logarithmic equation is equivalent to the exponential equation below? 70.81 = ea

bixtya [17]

Loge 70.81 = a
Log to the base e is also written as ln
ln 70.81 = a

4 0

3 years ago

Read 2 more answers

Solve the system by using the inverse of the coefficient matrix. -3x + 9y = 9 3x + 2y = 13 Group of answer choices

kirill [66]

Answer:

x= 3

y=2

Step-by-step explanation:

-3x + 9y = 9 ----------- equation 1

3x + 2y = 13--------------- equation 2

In Matrix Form

$\left[\begin{array}{cc}-3&9\\3&2\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}9\\13\end{array}\right]$

Let A = $\left[\begin{array}{cc}-3&9\\3&2\end{array}\right]$ X = $\left[\begin{array}{c}x\\y\end{array}\right]$ and B = $\left[\begin{array}{c}9\\13\end{array}\right]$

Then Mathematically AX= B

or X= A⁻¹ B

Where A⁻¹ = Adjacent A/ mod of A

Adjacent A = $\left[\begin{array}{cc}2&-9\\-3&-3\end{array}\right]$

Mod Of A= -6 - (27) = -33 which is not equal to zero

so Putting These values in the given formula

X= 1/-33 $\left[\begin{array}{cc}2&-9\\-3&-3\end{array}\right]$ $\left[\begin{array}{c}9\\13\end{array}\right]$

Now Multiplying Rows and Columns

$\left[\begin{array}{c}x\\y\end{array}\right]$ = -1/33 $\left[\begin{array}{cc}2*9+- 9*13\\-3*9 +- 3*13\end{array}\right]$

Solving the Matrix we get

$\left[\begin{array}{c}x\\y\end{array}\right]$ = -1/33 $\left[\begin{array}{cc}18-117\\-27-39\\\end{array}\right]$

$\left[\begin{array}{c}x\\y\end{array}\right]$ = -1/33 $\left[\begin{array}{cc}-99\\-66\end{array}\right]$

From Here we find x= 99/33 or 3

and y = 66/33= 2

4 0

3 years ago

-8x > 24 I have to solve the inequality.

bazaltina [42]

$Solution, -8x>24\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x$

$Steps:$

$-8x>24$

$Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right),\\\left(-8x\right)\left(-1\right)$

$\mathrm{Simplify},\\8x$

$\mathrm{Divide\:both\:sides\:by\:}8,\\\frac{8x}{8}$

$\mathrm{Simplify},\\x$

$The\:Correct\:Answer\:is\:x$

$Hope\:This\:Helps!!!$

$-Austint1414$

7 0

4 years ago

5X plus 2Y equals 39

VMariaS [17]

Answer:5(7) + 2(2) = 39

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers