pls answe asap and show work!
11. What is (f.g)(x)?
f(x) = x3 + 3
g(x) = 2x2 + x - 1
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=

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

        what is the third angle of a triangle with angles of 45 and 45?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

      Angles in a triangle always add up to [tex]\bold{180\textdegree}[/tex].

❖ Here we are given 2 angles:-

45 and 45, which add up to 90.

❖  Subtract 90 from 180:-

90

✶ So the angles are 45, 45 and 90.

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

Answer:

90 degrees.

Step-by-step explanation:

As there are 180 degrees in a triangle

third angle = 180 - 45 - 45 = 90 degrees.

The angles supplementary. to ∠DOC are ∠DOA and ∠COB.

Two angles are called supplementary when their measures add up to 180 degrees.

1. Take, ∠COB:

So, ∠DOC+ ∠COB = ∠DOB = 180°. (Linear pair)

Hence,  ∠DOC and ∠COB are supplementary.

2. Now, take angle DOA:

∠DOC + ∠DOA = ∠COA = 180°.    (Linear pair)

Thus,  ∠DOC and ∠DOA are supplementary.

Hence, the angles supplementary. to ∠DOC are ∠DOA and ∠COB.

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Answer and Step-by-step explanation:

Hey there!

To finish the function table, all you need to do is plug in the x value into the function, which in this case is g(x)=2x+2

*Remember, the "x-value" is the input and the "y-value" is the output*

The first input is -5

2(-5)+2

-10+2

g(x) = -8

The second input is -1

2(-1)+2

-2+2

g(x) = 0

The third input is 1

2(1)+2

2+2

g(x) = 4

The fourth input is 4

2(4)+2

8+2

g(x) = 10

The fifth input is 5

2(5)+2

10+2

g(5) = 12

Answer:

see below

Step-by-step explanation:

g(x) = 2x+2

Let x = -5     g(-5) = 2(-5) +2 = -10+2 = -8

Let x = -1     g(-1) = 2(-1) +2  = -2 +2 = 0

Let x = 1      g(1) = 2(1) +2  = 2+2 = 4

Let x=(4)   g(4) = 2(4) +2 = 8+2 = 10

Let x = 5  g(5) = 2(5) +2 = 10+2 = 12

answer:

x = 4

y = -3

steps :

x = 10 + 2y

x + y = 1

2y = x - 10 -> y = 1/2x - 5

x + y = 1 -> y = 1 - x

since theyre both equal to y they are equal to each other

1/2x - 5 = 1 - x

3/2x = 6

x = 4

plug 4 back where x is

y = 1 - 4

y = -3

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The set of actions that should be used is: toss a coin twice, then roll a 6-sided number cube

We know tath the game has 24 possible outcomes. Then we need to find a set of actions that gives 24 different outcomes all with the same probability.

Of the given options, the only one that has a sample space of 24 elements is the first one.

Toss a coin twice and then roll a D6.

For each coin toss, the outcomes are 2 (tails and heads).

For the D6 there are 6 outcomes (1, 2, 3, 4, 5, 6)

Then the total number of outcomes for two tosses and rolling the number cube is given by the product between the numbers of outcomes for each individual part:

C = 2*2*6 = 4*6 = 24.

From this, we conclude that this is the correct option.

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Answer:

the correct ones are

2, Select a card from a set of cards with the letters A through D, then spin this  once.

5,Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.

6, spin this and roll an 8-sided number cube with the digits 1 to 8.

Step-by-step explanation:

so basically both the colored wheel answers and the one with the coin and cube

plato 2022

Answer:

AB = 27.2

BC = 33.5

AC = 50.4

∠A = 38°

∠ABC = 112°

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}[/tex]

[tex]\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}[/tex]

[tex]\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)[/tex]

[tex]\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}[/tex]

[tex]\implies \sf BD=29\tan(30^{\circ})[/tex]

[tex]\implies \sf BD=\dfrac{29\sqrt{3}}{3}[/tex]

[tex]\implies \sf \sin(38^{\circ})=\dfrac{BD}{AB}[/tex]

[tex]\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}[/tex]

[tex]\implies \sf AB=27.2\:(nearest\:tenth)[/tex]

[tex]\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}[/tex]

[tex]\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}[/tex]

[tex]\implies \sf AD=21.4\:(nearest\:tenth)[/tex]

[tex]\implies \sf AC=AD+DC=21.4+29=50.4[/tex]

The interior angles of a triangle sum to 180°

⇒ ∠A + 52° + 90° = 180°

⇒ ∠A = 180° - 90° - 52°

⇒ ∠A = 38°

⇒ ∠ABC + 38° + 30° = 180°

⇒ ∠ABC = 180° - 38° - 30°

⇒ ∠ABC = 112°

**I have checked the measures using a graphing programme - see attached**

Step-by-step explanation:

try this solution, note, the answers are underlined with green colour.

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

Answer:49 miles per hour

Step-by-step explanation: 14 miles times 35 miles = 490

but the 0 will not matter so steve was going 49 miles per hour

HOPE THIS HELPS YOU:)

Using the Euclidean algorithm  integer integers $x$ and $y$  is: [ (-30 + 37k ), (133 - 164k) ].  

Given:

$164x + 37y = 1

First step

Sequence of quotients

4(37) + 16=164

2(16) + 5=37

3(5) + 1=16

4(1) + 1=5

1(1) + 0=1

       4     2     3     4     1

1 0     1     2     7    30    37

0 1     4     9    31  133  164

Determinant

(164×30) - (37×133)

=4,920-4,921

= -1

164(-30) + 37(133)

=-4,920+4,921

= 1  

Second step

Integer

[(x + bk), (y - ak) ]

Where:

x = -30

y = 133

k=integer

Hence:

[ (-30 + 37k ), (133 - 164k) ]  

Therefore using the Euclidean algorithm the integer is: [ (-30 + 37k ), (133 - 164k) ].  

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Answer:

Step-by-step explanation:

4a. yes: 5 = 3(2)-1    5 = 6 - 1      5 = 5

4b.  No: 1 = 3(4) + 1

      1 = 12 + 1

       1 ≠ 13

4c. No; 1 = 3 - 3

            1 ≠ 3

4d. yes; 7 = -3(5) + 22

              7 = -15 + 22

              7 = 7

4e. no; -8 = -2(-4)

             -8 ≠ 8

4f. no; 8 = -2 + 11

           8 ≠ 9

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify following

Solve:

[tex]\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]

[tex]\rightarrow \sf S \infty \ =4[/tex]

The sum of this infinity series is 4

Answer:

3rd one

Step-by-step explanation:

i hope  have a great day

Answer:

#1 d #2 c

Step-by-step explanation:

to get these answers I just did the math on all of them

The shape of the distribution described the Left skewed.

A left skewed histogram is a histogram that attains a peak (which is the mode) towards the right side of the graph and has a “tail” towards the left side.

A histogram in which most of the data falls to the left of the graph's peak is known as a left-skewed histogram.

A left-skewed histogram is a type of histogram that is not symmetrical and in which the peak of the graph lies to the right of the middle value or the median.

Hence, considering the above definition the given histogram data falls on right side.

So, it is left skewed graph.

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Answer:

5 per comic book and 12 per computer game hope this helps.

Answer:

Step-by-step explanation:

8x + 3y = 76

x  + 3y = 41

8x + 3y = 76

-x - 3y = -41

7x = 35

x = $5 comic book

3y + 5 = 41

3y = 36

y = $12 computer game

Answer:

[tex] \\ \\ 90-60=30degree \\ \\ [/tex]

Answer:

15° and 75°

Step-by-step explanation:

The sum of the measures of complementary angles is 90.

Angle 1 measures x.

Angle 2 measures x + 60.

Their sum is 90.

x + x + 60 = 90

2x + 60 = 90

2x = 30

x = 15

x + 60 = 75

Answer: 15° and 75°

Answer:

0.965 to the nearest thousand.

Step-by-step explanation:

This is a binomial probability distribution.

Prob(getting no 3's) = (5/6)^5 = 0.4019

Prob(getting  1 * 3 )   = 5C1(1/6)(5/6)^4 = 0.4019

Prob (getting 2 3's ) = 5C2(1/6)^2(5/6)^3 = 0.1608

So required probability = 2 * 0.4019 + 0.1608

= 0.9646

Answer: $25.90

Step-by-step explanation:

We will have x as the youngest son's share, (the youngests son's share is the basis)

(x + 4.30) as the eldest son's share, (the eldest received 4.30 more than the youngest)

(x - 7.80) as the second son's share, (the second received 7.80 less than the youngest)

and 64.90 as their share altogether.

To find the youngest son's share:

(x) + (x + 4.30) + (x - 7.80) = 64.90

x + x + 4.30 + x - 7.80 = 64.90

x + x + x = 64.90 - 4.30 + 7.80 (group all of the like terms together. variables with variables, numbers with numbers. 4.30 became negative since it was moved to the other side, the same happened with 7.80 since it was a negative, it became a positive when it moved to another side)

Solve...

x + x + x = 64.90 - 4.30 + 7.80

3x = 68.40 (divide both sides by 3)

[tex]\frac{3x}{3} = \frac{68.40}{3}[/tex]  

x = 22.80

(The youngest son's share is $22.80)

To get the eldest son's share:

x + 4.30 (substitute x since it has already been solved)

22.80 + 4.30 = 27.10

The eldest son's share is $27.10

Answer:

D) infinitely many solutions

2 tons + 10 pounds = 4,010 pounds

4 tons + 10 pounds = 8,010 pounds

Step-by-step explanation:

2,000 POUNDS EQUALS 1 TON.

a.) 2 tons = 2,000 X 2 = 4,000 pounds

4,000 pounds + 10 pounds = 4,010 pounds

2 tons + 10 pounds = 4,010 pounds

b.) 4 tons = 2,000 X 4 = 8,000 pounds

8,000 pounds + 10 pounds = 8,010 pounds

4 tons + 10 pounds = 8,010

Answer:

Area=154.062 [tex]m^{2}[/tex]

Step-by-step explanation:

As Circumference of a circle is given by;

[tex]C=2\times \pi\times r[/tex]

As the circumference is 44m so we can calculate the value of r by using the above formula.

[tex]44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m[/tex]

Now to Calculate the Area of a Circle.

As the area of a circle is,

[tex]Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}[/tex]

Answer:

(3, 2)

(9, 10)

Step-by-step explanation:

Ordered pairs (3, 2) and (9, 10) is the solution of the equation 4x -1 = 3y + 5

Answer:

Option B

Step-by-step explanation:

Open end credit 's biggest example is our credit card

Option B is correct

Answer: 11 pounds

Step-by-step explanation:

Total weight of the first 8 backpacks

8*14

= 112 pounds

Total weight of the second 12 backpacks

12*9

= 108 pounds

Total weight of the whole 20 backpacks

112+108

= 220 pounds

therefore the mean weight of the 20 backpacks is

220 / 20

= 11 pounds

Answer:

y = -x + 7

Step-by-step explanation:

y = x + 5 works for the first row, but fails for the rest.

y = x + 3 fails for the first row

y = -x + 7 works for the first row ( -1 + 7 = 6)

It works for the second row ( -2 + 7 = 5)

It works for the third row ( -3 + 7 = 4)

And it works for the final row ( -4 + 7 = 3)

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3​

[tex]y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1[/tex]

Plug in for y:

6x - 3(2x - 1) = 3​

6x - 6x + 3 = 3

Simplified, 3 = 3

Answer: this solution has infinite solutions

Step-by-step explanation:

original system:

y-2x+2 = 1

6x-3y = 3

Move 2 to right side of equation

y    -2x = -1

-3y+6x = 3

solve for y in first equation

⇒ y = 2x - 1

insert y into second equation

⇒ -3(2x-1) + 6x = 3

simplify

⇒ -6x+3+6x = 3

simplify once more

⇒ 3 = 3

this solution has infinite solutions