f(t) = 2t - 3
f(1) =

Answer:125

Step-by-step explanation:

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline { \text{To \: Find}}} : [/tex]

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.

[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]

Now , LEFT HAND SIDE ( L.H.S )

[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]

Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.

⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]

⟼ [tex] \sf{0}[/tex]

RIGHT HAND SIDE ( R.H.S ) : 0

L.H.S = R.H.S [ Hence , proved ! ]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

Step-by-step explanation:

\underline{ \underline{ \text{Given}}} :

\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}

\underline{ \underline { \text{To \: Find}}} :

\underline{ \underline{ \text{Solution}}} :

The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}

. Again , Interchange it's rows and columns in order to find ' A '.

\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}

Now , LEFT HAND SIDE ( L.H.S )

\tt{ {A}^{2} - 5A+ 22I}

Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.

⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}

⟼ \sf{0}0

RIGHT HAND SIDE ( R.H.S ) : 0

Answer:

360 degree

Step-by-step explanation:

A seventeen sided polygon or a 17 sided polygon the rule is same that the sum of the measures of the exterior angles is 360.

Answer:

same

Step-by-step explanation:

Answer:

The answer is 9.2

Step-by-step explanation:

Answer:

Move the decimal place over to the left two spaces

.75--> 7.5--> 75%

and reverse

75%--> 7.5--> .75

Step-by-step explanation:

brainliest plz

Answer:

75%  

Step-by-step explanation:

"Percent" means "per 100" or "over 100". So, to convert 0.75 to percent we rewrite 0.75 in terms of "per 100" or over 100.

Multiply 0.75 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.

0.75      100        75

-------- x --------  = -------- which equals to 75%

1             100        100

Hope this helps

can i have brainliest plz

Answer:

4

Step-by-step explanation:

Normally you would have to figure out the distance of the x- and y-components and use the Pythagorean Theorem; however, because the y-coordinates of both points are the same, you only need the x-coordinates.

You have the first point back 3, and the second point forward 1.

So starting at -3, you move 4 points to get to 1.

((-3 to -2 (1), -2 to -1 (2), -1 to 0 (3), 0 to 1 (4)))

Step-by-step explanation:

8) all real numbers.

10)

[tex]y = a {b}^{x} \\ 12 \div 4 = 3 \\ b = 3 \\ a = 4 \\ y = 4 \times {3}^{x} [/tex]

Answer:

5 is 14

6 is 10

7 i cant really see it well but i believe is is -4

Step-by-step explanation:

Answer:

Solve for the missing components of the triangle.

A

=

28.95502437

B

=

46.56746344

C

=

104.47751218

a

=

2

b

=

3

c

=

4

Step-by-step explanation:

Answer:

its c 14

Step-by-step explanation: because 16x30=480 subract that from the total then mutiply it again and thats your answer

Hopefully this can help

Answer:

h = 14 in

Step-by-step explanation:

Volume = length • width • height

6,720 = 30 • 16 • h                    combine like terms by multiplying 30 and 16

6,720 = 480h                            divide both sides by 480

h = 14 in

Answer:

Explain what there is no picture

Step-by-step explanation:

Hai!

1. He is Considering 3 Themes: Space, Safari, and Comics.

2. He is Considering 2 Places: Skating rink and the Park.

3. He is Considering 3 Days of the week: Friday, Saturday, and Sunday.

4. EXAMPLE 1 One possibility is that Noah is considering is a party with a Safari Theme at the park on Friday EXAMPLE 2 One possibility is that Noah is considering is a party with a Comics Theme at the park on Saturday

5. There is 21 Possible Outcomes

Hope I helped. Best of luck! :3

Answer:

(6,-4)

Step-by-step explanation:

Answer:

(6,-4)

Step-by-step explanation:

Answer: the nswer is

Step-by-step explanation:

Answer:

9/15

Step-by-step explanation:

Answer:

760x=3040, 3040/760=4

answer=4

Step-by-step explanation:

Answer:

x = -2

y = -4

Step-by-step explanation:

The way systems of equations  work is that you have to substitute to solve for a variable *(only one of the 2 ways to figure this out)*

so, we will use addition property of equality in a form to add the two equations together, since +5y and -5y added together will cancel out.

that would leave

5x = -10

divide both sides by 5

x = -2

Now that we know x = -2, we can plug in -2 into one of the equations to find y.

2 ( -2)  + 5y = -24

-4 + 5y = -24

-4 + 4 + 5y = -24 + 4

5y = -20

y = -4

x = -2

y = -4

Answer:

The answer would be around $98.90                                                              

Step-by-step explanation:

[tex]circumference = 2\pi\: r \: \\ = 2 \times 3.14 \times 86 \\ = 540.08[/tex]

Answer:

540.08

Step-by-step explanation:

Answer:

AB= 8.1

AB=7.8

Step-by-step explanation:

[tex]ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } [/tex]

[tex] = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} [/tex]

[tex] = \sqrt{65} = 8.1[/tex]

[tex]ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } [/tex]

[tex]= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} [/tex]

[tex] = \sqrt{61} = 7.8[/tex]

The diagram should help

Step-by-step explanation:

672 I'm pretty sure cus yea oop-

Answer:

480

Step-by-step explanation:

280/7 = 40

40x12 = 480

Answer:

D

Step-by-step explanation:

-4+4=0 which is correct

4.8-8.9=-4.1 wrong

12-3=-9 wrong

-9-0.1=90 wrong

Answer:

i think that it would be A.

Step-by-step explanation:

Answer:

the slope = -⅓          

Answer:21.87

Step-by-step explanation:

196.83 divided by 9

Answer:

They each cost $21.87

Step-by-step explanation:

If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.

Answer:

B

Step-by-step explanation: