Is the ordered pair (-3,2) a solution to the function f (x) = 3x + 11 Yes or No

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

j = 17.32 sq rt 3  or   30

Step-by-step explanation:

sin 60 = j/20sq rt 3

0.8660 = j/20sq rt 3

j = 17.32 sq rt 3

Answer:

Step-by-step explanation:

cos30 = j / 20√3

j = (20√3)cos30

j = (20√3)(½√3)

j = 30

Answer:

Use the quadratic formula to find the solutions

−b±√b^2−4(ac)/2a

Substitute the values

a=3, b=2, and c=−4 into the quadratic formula and solve for x.

−2±√2^2−4⋅(3⋅−4)/2⋅3

Simplify.

x = −1±√13/3

The final answer is the combination of both solutions.

x= −1−√13/3,−1+√13/3

The result can be shown in multiple forms.

Exact Form:

x= −1−√13/3,−1+√13/3

x=0.86851709…,−1.53518375…

Step-by-step explanation:

Hope it is helpful......

Answer:

Not a function

Step-by-step explanation:

This is not a function. It will fail the vertical line test.  For any value of x, there are two different y values.  This tells us that it is not a function

Answer:

Both the median and mean are 13

Answer: I got 50x+$75 but I’m not too sure for the last step

Step-by-step explanation:

Answer:

y=50x+75

Step-by-step explanation:

y=125=225-125 Divide 3-1 (x-1)

y-125=50(x-1)

y=50x-50+125

y=50x+75

Answer:

C

Step-by-step explanation:

the whole chart represents 100% (45% + 15% + 40%)

given

15% → 45 students , then

1% = \(\frac{45}{15}\) = 3 students , so

100% = 100 × 3 = 300 students

The value of u is 2 in the given right-angled triangle.

The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.

We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.

It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right-angled triangle ABC, if

BC = hypotenuse

AC and AB are the other two sides then,

\(BC^2 = AC^2 + AB^2\).

For this problem, we can find the value of u by using trigonometric identities.

From the figure, we have an angle of 45°.

Consider Cos 45°.

Cos Ф = base / hypotenuse

Cos 45° = \(\sqrt{2}\) / u ...........(1)

From trigonometric identities of cosine.

We have,

Cos 45° = 1 / \(\sqrt{2}\)............(2)

From (1) and (2)

We get,

1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u

u = 2.

Thus the value of u is 2 in the given right-angled triangle.

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Answer:

∑(-1)^k/(2k+1)! (5x)^2k+1

From k = 1 to 3.

= -196.5

Step-by-step explanation:

Given

∑(-1)^k/(2k+1)! (5x)^2k+1

From k = 0 to infinity

The expression that includes all terms up to order 3 is:

∑(-1)^k/(2k+1)! (5x)^2k+1

From k = 0 to 3.

= 0 + (-1/2 × 5³) + (1/6 × 10^5) + (-1/5040 × 15^5)

= -125/2 + 100000/6 - 759375/5040

= -62.5 + 16.67 - 150.67

= - 196.5

Answer:

D Market

Step-by-step explanation:

the production determines how the goods and services are destributed and applied so the goods can flow all based off of the market

Answer:

Step-by-step explanation:

The answer is 'command'.

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

78 meals are eaten in a restaurant, 58 meals are eaten in a car, 33 meals are eaten at home and the question is solved by using linear equations.

What is the linear equation?

A linear equation is an algebraic equation of the form y =mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given that the total number of meals is 169.

Assume that,

a = number of meals eaten in a restaurant

b = number of meals eaten in a car

c = number of meals eaten at home

a + b + c = 169 .....(i)

Since the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 13.

Thus b + c = a + 13 .....(ii)

Again twenty more restaurant-purchased meals will be eaten in a restaurant than at home.

a = 20 + c .....(iii)

Subtract equation (ii) from (i)

a + b + c - b - c = 169 - a - 13

2a = 156

Divide both sides by 2

a = 78

Substitute a = 78 in equation (iii)

78 = 20 +c

c = 58

Putting c =58  and a =78  in equation (ii)

b + 58 = 78 + 13

b = 33

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Question:

The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 169. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of​ restaurant-purchased meals eaten in a​ restaurant, the number eaten in a​ car, and the number eaten at home.

Answer:

\(y^{12} + b^{8} \\OR\\12y + 8b\)

Step-by-step explanation:

If the statement is  

\(y^{12} + b^{16-8} \\y^{12} + b^{8} \\\)this can't be more simplified

If the statement is

\(y{12} + b{16-8} \\y{12} + b{8} \\\\rearrange\\12y + 8b\)

Answer:

7(-3/4x-3) is the same as

7(-3/4x)-7(3) and

-5 1/4x-21

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

got 100 on the quiz

After answering the prοvided questiοn, we can cοnclude that Therefοre, equatiοn the twο planes will be apprοximately 798.12 miles apart at 3:00 PM.

An equatiοn is a statement in mathematics that states the equality οf twο expressiοns. An equatiοn has twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine which variable(s) must be changed in οrder fοr the equatiοn tο be true. Simple οr cοmplicated equatiοns, regular οr nοnlinear equatiοns, and equatiοns with οne οr mοre factοrs are all feasible.

\($ \rm V d_{n}s=-280s i n(23 ^{\circ})=-112.66\ m p h$\)

And the east-west component of its velocity is given by:

\($\begin{array}{c}{{\rm V d_{e}w=280c o s(23^{\circ})=260.98\ m p h}}\\ {{\rm V s_{n}s=320s i n(39^{\circ})=197.89\ m p h}}\end{array}$\)

And the east-west component of its velocity is given by:

\($\begin{array}{l c r}{{}}&{{}}&{\rm {{ V}s_{e}w=-320c o s(39^{o})-245.20m p h}}\\ {{}}&{{}}&{{}}\\ {{}}&{{}}&{{}}\end{array}$\)

\(\rm d = vt\)

where d is the displacement vector, v is the velocity vector, and t is the time interval.

\($\rm d d=(-112.66m p h,260.98m p h) \times 3=(-337.98m i l e s,782.94m i l e s)$\)

\($ \rm d s=(197.89m p h,-245.20m p h)*3=(593.67m i l e s,-735.60m i l e s)$\)

where \(\rm dd_ns\) and \(\rm dd_e w\) are the north-south and east-west components of dd, and similarly for \(\rm ds_ns\) and \(\rm ds_e w\)

\(\rm |dd - ds| = \sqrt{(-337.98 - 593.67)^2 + (782.94 + 735.60)^2} \\= 798.12\ miles\)

Therefore, the two planes will be approximately 798.12 miles apart at 3:00 PM.

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Answer:

340 i am pretty sure

Step-by-step explanation:

Answer:

64

Step by step solution:

Not exactly sure what it means to expand the product. But to solve, you always do what's in the paranthesis first. So 2 x 4 = 8. The little number 2 means squared or to the power of, which bascially means you multiply the number by how ever many it tells you. So since it says 8 to the power of 2, you just multiply 8 x 8 which equals 64.

Answer:

x = 11

Step-by-step explanation:

3x - 5 = 2x + 6

Move the x to one side of the equation by subtracting 2x from both sides

x - 5 = 6

Add 5 to both sides

x = 11

Plug in to check the answer

3(11) - 5 = 2(11) + 6

33 - 5 = 22 + 6

28 = 28

Therefore, x = 11

Answer:

Step-by-step explanation:

7xy+3x+3y−3

Answer:

\(\huge\boxed{(-19)^{-8}=19^{-8}}\)

Step-by-step explanation:

Use

\(a^n\times a^m=a^{n+m}\)

\((-19)^{-12}\times(-19)^4=(-19)^{-12+4}=(-19)^{-8}\)

Answer:

They r correct lol

Step-by-step explanation:

Answer:

I think it is 13107200

Step-by-step explanation:

I think the answer might be 2,883,623. Hopefully, this helps you! :)

Answer:

B. and D.

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

Answer:

  402 mi²

Step-by-step explanation:

Extending the vertical segments divides the figure into 3 rectangles:

  left: 22 mi by 12 mi

  center: 13 mi by 6 mi

  right: 20 mi by 3 mi

The area of each rectangle is the product of its length and width. The total area is the sum of the areas of the three rectangles:

  total area = (22·12 +13·6 +20·3) mi² = (264 +78 +60) mi² = 402 mi²

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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Answer:

336

Step-by-step explanation:

Given:

Mark had \(\dfrac{3}{2}\) cans of paint and used \(\dfrac{1}{2}\) can for his room.

To find:

The fraction of the paint did he use.

Solution:

Total paint = \(\dfrac{3}{2}\) cans

Paint used = \(\dfrac{1}{2}\) can

The fraction of the paint did he use is:

\(\text{Required fraction}=\dfrac{\text{Paint used}}{\text{Total paint}}\)

\(\text{Required fraction}=\dfrac{\dfrac{1}{2}}{\dfrac{3}{2}}\)

\(\text{Required fraction}=\dfrac{1}{3}\)

Therefore, Mark use \(\dfrac{1}{3}\) of the paint.