Write the equation for function g(x)

19

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answer = 19 Haha.......

We have by theorem that supplementary angles add up to 180° [The sum of both angles gives as result a straight line; then, the following is true:

So, the value of x is 29°.

The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.

Given the equation in the question:

6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31

To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.

Apply distributive property:

6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31

18x + 24 + 4x + 4 + 2 = 22x + 31

Collect and combine like terms on both sides:

22x + 30 = 22x + 31

Next, we want to isolate the variable x on one side.

22x - 22x + 30 = 22x - 22x + 31

30 = 31

However, we notice that the x terms cancel out when subtracted:

30 ≠ 31

This means that there is no solution.

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The mortality rate will be 180 per 100000 people.

From the information, 595,700 Americans died of (all forms of) cancer and there is a population of 321 million.

Therefore the mortality rate will be:

= 595700 / 321 million

= 0.0018

Therefore the mortality rate will be 180 per 100000 people.

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Answer:

12b + 36

Step-by-step explanation:

multiply the outside of the bracket by the inside

12(b + 3)

12b + 36

Solution:

3[(8 - 4)^5] ÷ 8

3[4^5] ÷ 8

3[1024] ÷ 8

3072 ÷ 8

384

Best of Luck!

Answer:

384

Step-by-step explanation:

\(3[(8-4)^5]\)÷\(8\)

Using the rules of PEMDAS I know that I have to do the math inside of the parenthesis first.

 8 - 4 = 4

Our new equation is

\(3[(4)^5]\)÷\(8\)

Next we have to solve for the exponent.

\(4^5\)  = \(4*4*4*4*4\) = 1,204

Our new equation looks like:

\(3[1024]\)÷\(8\)

Now we will multiply, because we follow the rules of operation.

\(3 *1024= 3072\)

Finally we will divide 3,072 by 8.

\(3072/8= 384\)

Our final answer is:

384

Answer:

Step-by-step explanation:

Let x be the amount invested in the 6% account.

Since he invested twice as much in the lower-yielding account, the amount invested in the 10% account is 2x.

We know that the annual interest is $3080 dollars, and the interest is calculated on the invested amount at each rate.

The interest in the 6% account is (6/100) * x = 3/50 * x

The interest in the 10% account is (10/100) * 2x = 1/10 * 2x

The total annual interest is 3/50x + 1/102x = 3/50x + 1/5x = (3+1)/5x = 4/5x

Therefore, we can write the equation:

4/5*x = 3080

To find x, we can divide both sides by 4/5:

x = 3080*5/4

x = $2310

So, the man invested $2310 in the 6% account and $2310*2 = $4620 in the 10% account.

Using translation concepts, the equation for the transformed logarithm is given by:

\(f(x) = \log{(x + 3)} - 3.48\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The logarithm function is given by:

\(f(x) = \log{x}\).

We have that:

Hence:

\(f(x) = \log{x + 3} + b\)

To find the shift up/down, we consider that f(0) = -3, hence:

\(-3 = \log{0 + 3} + b\)

\(b = -3 - \log{3}\)

b = -3.48.

Hence the function is given by:

\(f(x) = \log{x + 3} - 3.48\)

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Answer: y=8076

Step-by-step explanation:

Answer:4/5

Step-by-step explanation:

=80 out of 80 - 16 out of 80

=64 out of 80

Answer:

4/5

Step-by-step explanation:

substract the number of questions he got correctly from the total number of the questions to yield 80-16=64

then set the fraction as number of incorrect questions as the numerator and the total number of questions as the denominator

64/60=4/5

Answer:

Angle 6 = 70

Step-by-step explanation: Using vertical angles if you look across from angle 6 you would see the angle of 70 degrees which means they are equal because they're across from each other.

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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Answer:

Commutative property of addition

Step-by-step explanation:

The commutative property of addition says that changing the order of addends does not change the sum.

Answer:

Answer: -3/2

Step-by-step explanation:

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the probability of the marble landing on either a 00 or black slot is 19/38 or approximately 0.5.

how to solve probability?

There are 38 possible outcomes for a single spin of the American roulette wheel. Out of these 38 slots, two are labeled 0 and 00, and half of the remaining 36 slots are red and half are black.

Therefore, the probability of the marble landing on a black slot is 18/38 or 9/19. This is because there are 18 black slots out of a total of 38 slots.

Similarly, the probability of the marble landing on a 00 slot is 1/38.

To find the probability of the marble landing on either a 00 or black slot, we can add the probabilities of these two events. That is,

P(00 or black) = P(00) + P(black)

= 1/38 + 9/19

= (1 + 18)/38

= 19/38

Therefore, the probability of the marble landing on either a 00 or black slot is 19/38 or approximately 0.5.

It is important to note that while the probability of winning on a single bet in roulette may seem attractive, the game has a high house edge, meaning that the odds are in favor of the casino. Therefore, it is important to gamble responsibly and within one's means.

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The length of the line can be found by distance formula as,

The measures of the sides of isosceles triangle RST are:

RS = 5 units

RT = 4 units

A triangle with two equal sides and two equal base angles is defined as an isosceles triangle.

Given that triangle RST is an isosceles triangle having RT and TS as congruent sides, we are given the following measures:

Side RT = 2x

Side TS = 4

Side RS = 3x - 1

Therefore, based on the definition of an isosceles triangle, we have the following:

Side RT = Side TS

Plug in the values of each side

2x = 4

Divide both sides by 2

2x/2 = 4/2

x = 2

Plug in the value of x to find the lengths of RS and RT

RS = 3x - 1

RS = 3(2) - 1

RS = 6 - 1

RS = 5 units

RT = 2x

RT = 2(2)

RT = 4 units

In summary, the measures of the sides of isosceles triangle RST are:

RS = 5 units

RT = 4 units

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

\(V = 208\,u^{3}\) (Option C)

Step-by-step explanation:

The volume of the composite figure is:

\(V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)\)

\(V = 208\,u^{3}\) (Option C)

The true statement about the circle include:

Given equation is x² + y² – 2x – 8 = 0.

Get the center of the circle

2gx = -2x

2g = -2

g = -1

Similarly, 2fy = 0

f = 0

Centre = (-(-1), 0) = (1, 0)

This shows that the center of the circle lies on the x-axis

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

The radius of the circle is 3 units.

For the circle x² + y² = 9, the radius is expressed as:

r² = 9

r = 3 units

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

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True statement for Protecting classified data is classified material must be appropriately marked.

Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.

Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.

Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.  

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Using given function, we conclude that it will take 3 seconds the ball to reach a height of 45 meters.

In this question, we have been given a function h = 30t - 5t²

This function is used to find the height (h) of the ball in meters after 6 seconds.

We need to find the amount of time required to reach ball to a height of 45 meters.

here, height h = 45 meters

to find : time t

h = 30t - 5t²                          ........................(Given function)

45 = 30t - 5t²

30t - 5t² - 45 = 0

5t² - 30t + 45 = 0

t² - 6t + 9 = 0

(t - 3)² = 0

t - 3 = 0

t = 3 seconds

Therefore, it will take 3 seconds  the ball to reach a height of 45 meters.

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Answer:

- 4 / 3

Step-by-step explanation:

3 ( x - 4 ) = 12x

Divide 3 on both sides,

3 ( x - 4 ) / 3 = 12x / 3

x - 4 = 4x

x - 4x = 4

- 3x = 4

x = 4 / - 3

x = - 4 / 3