Use a graphing utility to approximate the solutions of the equation in the interval [0, 2). Find the exact solutions algebraically. (Enter your answers as a comma-separated list.)
3 tan(2x) − 3 cot(x) = 0

The possible cards can be made 6719448100.

What is permutation & combination?

Subsets of a set can be created in two separate ways combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.

We have,

Letters must only be consonants = 26 - 5.

So, the total number of consonants are 21.  

There are 21 choices for the first letter, 21 choices for the second letter,  21 choices for the thirds letter,  21 choices for the fourth letter. For each of these letters, therefore 21 × 21 × 21 × 21 = 194481 possible pairs of letters.

There are 10 possibilities for the first digit & 10 possibilities for the second. therefore there are 10 x 10 = 100 different numbers.

Combining these results, it follows that there are 67194481 x 100 =  6719448100 different cards.

Hence, The possible cards can be made 6719448100.

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Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

A = 15 x 2 = 30

Answer: A

Step-by-step explanation:

The absolute value of a number is its relative distance from zero, so it doesn't matter if it is negative. For example, -3 and 3 are both 3 units away from zero on the number line.

Answer:

Step-by-step explanation:

I

If x = -4 and y = 3, then the value of 1/2x + 3xy² is -110.

What is a value function?

The value function represents the optimal payoff of the system over the interval [t, t1] when started at the time- t state variable x(t)=x.

What is a variable?

A quantity that could take on any of a number of different values. : a sign that denotes a variable. : anything has a range. : a variable that might alter in a scientific experiment.

Here, we have

x = -4 and y = 3

then by putting the value of a function in a given equation, we get

1/2*(-4) + 3*(-4)*(3)²

= -110

Hence, If x = -4 and y = 3, then the value of 1/2x + 3xy² is -110.

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If the company wants to keep the cost of operation under $14,000 per month, The maximum number of units they can produce is: D. 349.

Given function:

C = $3,173 + $31u

Hence,

Let u represent number of  units

Let c represent the operation cost

Where c = $14,000 per month

$14,000 = $3,173 + $31u

Combine like terms

$14,000 - $3,173 = $31u

$10,827 = $31u

Divide both side by $31u

u = $10,827 / 31

u = 349 units

Therefore the correct option is D.

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Answer:

x=2 and =-4

Step-by-step explanation:

Step-by-step explanation:

that means that

$37.45 = 107%

as the price was 100% base price + 7% tax.

1% = 107%/107

100% = 1% × 100 = 107% × 100 / 107

so, the basic price (the "original cost") is

37.45 × 100/107 = $35.00

Answer: first graph

Step-by-step explanation:

The equation to solve when the three angles of a triangle measure x,y and 39 is x + y + 39 = 180°.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

It is important to note that the total angles in a triangle is 180°.

Therefore, in this case, the angles will be illustrated thus:

x + y + 39 = 180. This illustrates the equation.

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The value of x in the rhombus is 24 units.

According to the question,

We have the following information:

LM = 2x - 9 and KN = x + 15 in rhombus KLMN.

Now, we know that in a rhombus opposite sides are equal. In this case, LM and KN are opposite sides.

So, we have the following expression:

2x-9 = x+15

Adding 9 to both sides of the equation:

2x = x+15+9

2x = x+24

Subtracting x from both sides of the equation:

2x-x = 24

x = 24

Hence, the value of x for the given rhombus is 24 units.

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The cost of the sales tax in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The sales tax percentage in Texas = 5 %

                                                          = 5 / 100

                                                          = 0.05

The cost of 1 bag of dog food in Houston = $ 52

Now ,

The sales tax cost is calculated by the equation ,

The sales tax cost =
Sales tax percentage in Texas x cost of 1 bag of dog food in Houston

The sales tax cost = $ 52 x 0.05

                              = $ 2.60

And , the total cost of 1 bag of dog food = cost of 1 bag of dog food in Houston + sales tax cost

Total cost of 1 bag of dog food = $ 52 + $ 2.60

                                                   = $ 54.60

Therefore , the sales tax cost is $ 2.60

Hence , the sales tax cost to pay in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60

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The value of x will be 9.8 m.

The value of y will be 11.2 m.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The two triangles are similar.

Now,

Since, The two triangles are similar.

So, We get the sides are proportional to each other.

Hence, We can formulate;

⇒ 4/5.6 = 7/x

Solve for x as;

⇒ x = 7 × 5.6 / 4

⇒ x = 9.8 m

And, 4/5.6 = 8/y

Solve for y;

⇒ y = 8 × 5.6 / 4

⇒ y = 11.2 m

Thus, The value of x will be 9.8 m.

The value of y will be 11.2 m.

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To distribute this, multiply each term in the parentheses by -12

-12(4x) + -12(5y)

-48x - 60y

Hope this helps :)

Comment if you need any more explanation

Answer:

-48x - 60y

Step-by-step explanation:

Distributive Property of multiplication over addition:

[tex]\boxed{a(b + c) = ab + ac}[/tex]

Apply the distributive property to the given expression:

[tex]\begin{aligned}-12(4x + 5y) & = -12 \cdot 4x + (-12) \cdot 5y\\& = -48x +(- 60y)\\&=-48x-60y\end{aligned}[/tex]

Therefore, the given expression rewritten using distribution is:

Step-by-step explanation:

T2= -6

T5=750

ar=-6

ar4=750

both a's cancel each other

we have;

r=-6

r4=750

r4-1(The law of indices) =750

r3=750

r=3√750

r=9.1

Answer:

It is A

Step-by-step explanation:

I have brainly tutor and had that exact question

Answer:

40%

Step-by-step explanation:

The distance (in ft) that the car will travel in the first 10 seconds is 16.8 feet.

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, you can calculate the average speed of an object.

The speed formula is speed = distance/time.

We have been given certain vehicles that can accelerate from a standing start to a speed of v(t) = −0.24t² + 12t feet per second after t seconds (for 0 ≤ t < 30).

Then the distance that it will travel from its starting point in the first t seconds is;

[tex]\int\limits^{30}_b {v(t) } \, dx \\\\\\\int\limits^{30}_b {-0.24t^2 + 12t } \, dt \\\\\\\int\limits^{30}_b {-0.48t + 12} \, dt \\\\-0.48(30) + 12\\\\14.4 + 12 = 26.4[/tex]

At zero it will be 12 feet.

b. the distance (in ft) that the car will travel in the first 10 seconds.

-0.48(10) + 12 = 16.8 feet.

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Transcribed image text: (1 point) A tank contains 60 kg of salt and 2000 L of water. Water containing 0.8 min of salt enters the tank at the rate 6 min. The solution is mixed and drains from the tank at the rate 3 IA(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = (kg) = 0.

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Answer: yes

Step-by-step explanation:

12 ounces of water.

Total mass of the solution: 30 ounces.

Total mass of salt (solute): (30*0.07)= 2.1 ounces.

Total mass of water (solvent): (30*0.93) 27.9 ounces.

2. Find an equation that relates amount of water and percentage of salt.

Since we know that the amount of salt is 2.1 ounces, and it has to remain constant, we have to create a function such that the variable is the amount of water and it gives us the percentage of solution we are looking for. The function should look like this:

[tex]\frac{2.1}{x} =0.05[/tex]; where x is the mass of the water in the solution.

Side note: The number "0.05" is 5% converted into a decimal.

[tex]\frac{2.1}{x} =0.05\\ \\\frac{x}{2.1} =\frac{1}{0.05} \\ \\x=\frac{2.1}{0.05} \\ \\x=42[/tex]

42 would be the total amount of ounces the solution should have in order to be a 5% solution. Therefore, 12 ounces (42-30) have to be added.

12 ounces of water have to be added to this solution in order to make it a 5% solution, where 2.1 ounces is salt and 39.9 is water.

The answer that best completes the visual analogy of caliper is the first option (picture attached)

Information given in the question

A polygon of 5 sides

Visual analogy refers to using the power of sight to detect of feel things

A polygon of 5 sides is called pentagon is used to describe the caliper

The movement is forecasted by:

considering these the first option become the best option

The line mark will align where the ? was positioned and the center will not be a dark spot

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Answer:

D. The denominator means three out of five are shaded

Answer:

heyyyyyyyyyyyyyyyyyyyyyyyy

Answer: going to take a wild guess and say figure 2 or figure 4 is correct but I'm going with figure 2

Step-by-step explanation:

Answer: Figure 4

Step-by-step explanation:

I got it right on Edmentum

The number of voters that each volunteer call is 18.

It is important to note that voting is done to choose a particular person during elections.

In this case, the candidate for mayor is calling 882 registered voters to remind them about the upcoming election and the candidate has 49 volunteers.

Since they gave same number of voters, this will be:

= Number of voters / Number of volunteers

= 882 / 49

= 18

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For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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Eve's data is a random sampling since she picked the participants randomly.

A simple random sample is a subset of a population chosen at random. This sampling strategy gives each person of the population an exact equal chance of being chosen, reducing the likelihood of selection bias.

To be considered a truly random sample, every subject in your target demographic must have an equal chance of being chosen. Conducting a study to estimate the length of time college students workout at your campus each week is an example of breaking this assumption.

In this case, Eve needed to collect the eye color of 50 random people for a high school statistics project and she felt more comfortable collecting the data from 20 arbitrary classmates, 12 arbitrary neighbors, and 18 arbitrary members of her bible study group. In this case, she picked them randomly. In Adam's case, it doesn't necessarily have to be strangers.

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The time that the three buses will next arrive at the station, given the time between their individual arrivals is 10 am.

Service A arrives every 15 minutes. Service B arrives every 20 minutes. Service C arrives every 30 minutes.

The goal is to find the time when all services arrive at the same time. This can be found by finding the LCM of all three times. This will show the shortest time till all services arrive.

The LCM of 15 minutes, 20 minutes, and 30 minutes is 60 minutes.

The three bus services will arrive at the same time in 60 minutes which is:

= 9 am + 60 minutes

= 10 am

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 a) the constant of proportionality multiplies every actual linear    dimension

 b)  height of a can of fruit juice is 3.85 inches high

What is Proportionality?

The term proportionality describes any relationship that is always in the same ratio.

Explanation for answer:

Since the desire is to have students look twice as tall, we expect the constant of proportionality to be [tex]\frac{1}{2}[/tex].

Instead, we're told that the stage manager is using a height of 44 inches to represent an 80-inch door.

This means their constant of proportionality is [tex]\frac{40}{80} = 0.55[/tex]

a) Any new props can be scaled by this factor (0.55) to find their height on set.

b) A 7-inch can would be scaled to [tex]7\times 0.55 = 3.85\ inches[/tex]

Question: The school's theater club is building sets that will make ordinary students look like giants. The actors need a door, a table, and a stool that will make them look almost twice as tall!

DOOR: actual height is 80 inches and Height on Set is 44 inches

TABLE: actual height is 28 inches

STOOL: actual height is 18 inches

How can the stage manager use the constant of proportionality to find the dimensions of any new props the director requires?

What should the height of a can of fruit juice used as a prop be if its actual height is 7 inches? Show your work.

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