Justin was asked to write six different equations based on the triangle below.
600
10
Four of the six equations that Justin wrote are correct. Select FOUR equations that are correct.
tan (60) = 73
tan ( 30 ) =
A
B.
c.
cos ( 30") =
D.
sin ( 60 ) = ?
E. F
cos (60) =
sin ( 30 ) = 3

Answer:

1/36

Step-by-step explanation:

To get a sum of 2, both dice must roll a 1.

The probability of a 1 on the first die is 1/6.

The probability of a 1 on the second die is 1/6.

Therefore, the probability of rolling both 1s is:

P = 1/6 × 1/6 = 1/36

Answer:−

2x2−8x−9

Step-by-step explanation:

All the missing factors are,

⇒ 40 ÷ 1000 = 0.04

⇒ 0.07 × 10,000 = 700

⇒ 100 × 0.75 = 75

⇒ 24 ÷ 10 = 2.4

⇒ 160 ÷ 10,000 = 0.016

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, We can solve as;

⇒ 40 ÷ x = 0.04

⇒ 40 / x = 0.04

⇒ x = 40 / 0.04

⇒ x = 1,000

⇒ 0.07 ×  x = 700

⇒ x = 700 / 0.07

⇒ x = 10,000

⇒ x × 0.75 = 75

⇒ x = 75 / 0.75

⇒ x = 100

⇒ 24 ÷ x = 2.4

⇒ 24 / 2.4 = x

⇒ x = 10

⇒ 160 ÷ x = 0.016

⇒ 160 / 0.016 = x

⇒ x = 10,000

Thus, All the missing factors are,

⇒ 40 ÷ 1000 = 0.04

⇒ 0.07 × 10,000 = 700

⇒ 100 × 0.75 = 75

⇒ 24 ÷ 10 = 2.4

⇒ 160 ÷ 10,000 = 0.016

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The height of the flag pole which is described as in the task content is; 8.2m.

The horizontal distance between the 6m house and the flagpole in discuss can be evaluated by means of the angle of depression and trigonometric identity, tan as follows;

tan 22° = 6/x

x = 6/tan 22 = 14.9m.

Consequently, the horizontal distance from the top of the house to the top of the flagpole is therefore;

tan 9° = y/14.9

y = 14.9 tan 9° = 2.2m

Ultimately, the height of the flagpole is; 6+2.2 = 8.2m.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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The volume of the solid that results when the region bounded by y=√x, y=0, and x=64 is revolved about the line x=64 is 25,165π/3.

The volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=2+x^8 about the y-axis is 32π/15.

In the first problem, we have a region bounded by y = √x, y = 0, and x = 64. To revolve this region around the line x = 64, we need to rewrite the equations in terms of y. Solving y = √x for x, we get x = y^2. Thus, the region can be described by the equations x = y^2, y = 0, and x = 64.

To find the volume, we integrate the area of a cylindrical shell, which is given by 2πrhΔx, where r is the radius of the shell, h is the height of the shell, and Δx is the thickness of the shell. In this case, the radius is given by r = 64 - x and the height is given by h = y. Thus, the volume is given by:

V = ∫ 0^8 2π(64 - y^2)y dy

Evaluating this integral gives V = 25,165π/3.

In the second problem, we need to rewrite the equation y = 2 + x^8 as x = (y - 2)^(1/8). The region is then bounded by x = 0, x = (y - 2)^(1/8), y = 0, and y = 2.

Using the same method as before, the volume is given by:

V = ∫ 0^2 2πy(x(y))^2 dy

Substituting x = (y - 2)^(1/8), we get:

V = 2π ∫ 0^2 y(y - 2)^(1/4)^2 dy

Simplifying and evaluating the integral gives V = 32π/15.

Rotating a region around a line generates a solid of revolution. To find the volume of this solid, we use the method of cylindrical shells.

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To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).

We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):

C'(x) = 6x - 1500

Now we set C'(x) = 0 and solve for x:

6x - 1500 = 0

6x = 1500

x = 250

Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.

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Answer:

x

2

−4x−5=0

All equations of the form ax

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±

b

2

−4ac

​

​

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x

2

−4x−5=0

This equation is in standard form: ax

2

+bx+c=0. Substitute 1 for a, −4 for b, and −5 for c in the quadratic formula,  

2a

−b±

b

2

−4ac

​

​

.

x=

2

−(−4)±

(−4)

2

−4(−5)

​

​

Square −4.

x=

2

−(−4)±

16−4(−5)

​

​

Multiply −4 times −5.

x=

2

−(−4)±

16+20

​

​

Add 16 to 20.

x=

2

−(−4)±

36

​

​

Take the square root of 36.

x=

2

−(−4)±6

​

The opposite of −4 is 4.

x=

2

4±6

​

Now solve the equation x=

2

4±6

​

 when ± is plus. Add 4 to 6.

x=

2

10

​

Divide 10 by 2.

x=5

Now solve the equation x=

2

4±6

​

 when ± is minus. Subtract 6 from 4.

x=

2

−2

​

Divide −2 by 2.

x=−1

The equation is now solved.

x=5

x=−1

In the rescorla-wagner model, the symbol "λ" (lambda) refers to the limit of the amount of associative strength or learning that may occur.

What is Rescorla Wagner model?

Rescorla-Wagner model is a classical conditioning model which tries to establish a the relationship or association between the CONDITIONED STIMULI (CS) AND THE UNCONDITIONED STIMULI.

According to the Rescorla-Wagner model, proves that for learning to occur the subject must be surprised which means the subject must not expect it(AN UNEXPECTED US FOLLOWS A CS).

In the Rescorla-Wagner model, the symbol "V" (or sometimes referred to as "V_max") indicates the limit or maximum value of associative strength or learning that can occur between a conditioned stimulus (CS) and an unconditioned stimulus (US). This symbol represents the maximum strength or magnitude of association that can be formed during classical conditioning.

According to the Rescorla-Wagner model, learning occurs when there is a discrepancy or prediction error between expected and actual outcomes. As learning progresses, associative strength increases but eventually reaches a point of saturation or maximum value (V). This maximum value represents the point at which the association has reached its peak and further learning becomes unlikely or minimal.

Briefly, the “V” in the Rescorla-Wagner model represents an upper limit or ceiling on the amount of associative strength or learning that can be achieved between the CS and the US.

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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this is the answer.pls give me the brainliest. Thanks

Answer:

X = 1/2, 2

Step-by-step explanation:

= (2x-1)(x-2)

Answer:

OK I DON'T KNOW IF THIS IS IT BUT THE ANSWER IS POSSIBLY 0??? AND IF I DOESN'T WORK I'M SORRY

Step-by-step explanation:

The answer to the question is (i) the measurement of angles and distances in accordance with specific procedures.

A survey is a method used to gather information about a particular population or sample group. It involves collecting data through various means such as questionnaires, interviews, and observations. The purpose of a survey is to obtain information about a particular topic or issue that can be used for analysis, decision-making, or research purposes.

The items listed in options (ii), (iii), and (iv) all pertain to information that may be included in a land survey, which is a type of survey used to determine the boundaries, size, and characteristics of a piece of land. A professional measurement of a tract of land, the type of improvements best suited for the land, and the total area of the land with its mapped boundaries and elevation are all important pieces of information that may be gathered during a land survey.

On the other hand, the measurement of angles and distances in accordance with specific procedures is not typically part of a survey, as it is more closely related to a surveying technique known as triangulation. Triangulation is a method used to determine the location of a point by measuring angles and distances from fixed points. While similar in name, surveying and triangulation are distinct practices.

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Answer:

120 /4 =30 120 - 30 = 90 The answer is 90$

Step-by-step explanation:

Answer:

The upside down u is where two given sets intersect and overlap

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

The 96th term of the given AP is (-1048)

Step-by-step explanation:

We have, the given AP is :

-3, -14, -25....

First term is -3

Common difference is -14 - (-3)= -11

Let \(a_{96}\) is the 96th term of the AP.

The nth term of the AP is given by :

\(a_n=a+(n-1)d\)

Put all the values, such that,

\(a_{96}=(-3)+(96-1)\times (-11)\\\\a_{96}=-1048\)

So, the 96th term of the given AP is (-1048).

To make 8 small meat loaves, you will need a total of 6 pounds of meat.

This is because each small meat loaf requires three quarters (0.75) of a pound of meat, and 8 loaves multiplied by 0.75 pounds per loaf equals 6 pounds of meat.

When preparing the meat, it's important to measure out each loaf accurately to ensure they are all the same size and cook evenly. You can use a kitchen scale to measure out the appropriate amount of meat for each loaf.

Once the meat is prepared, you can add your desired seasonings and mix-ins to create a flavorful dish. Some popular additions to meatloaf include onions, garlic, Worcestershire sauce, breadcrumbs, and eggs.

When shaping the loaves, you can use a muffin tin or form them by hand. Bake them in the oven at 350°F for 25-30 minutes or until they reach an internal temperature of 160°F.

Overall, making small meat loaves is a delicious and easy way to enjoy a classic comfort food.

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Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The CORRECT answer is

C. 32.8 feet Got it correct

Answer:

d. y = (x - 1)(x-3)²(x + 2)²

Step-by-step explanation:

When there is a local max or local min on the x-intercept, then the function on the x-intercept is raised to an even power.

At x=3 and x=-2, the function goes up then down, or down then up.

If the function goes through an x-intercept when there is no local max or local min on the x-intercept, then the function on the x-intercept is raised to an odd power.

At x=1, the function goes through the x-intercept.

Hence, d is the answer.

The three consecutive integers are

x, (x+1), and (x+2)

Where (x+2) is the largest of them.

22 more than means to add 22.

Twice the largest means 2 times the largest.

So, let us equate the sum of three consecutive integers to 22 plus 2 times (x+2)

Therefore, the above equation correctly models the given word problem.

Let x be number of $10 dollar bills

Let y be number of $5 dollar bills

Let z be number of $1 dollar bills

From the question, we can come up with three equations (so we can find the values of x, y & z) :

The first equation comes from finding the total money Elizabeth has, which is $101.

The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.

The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).

Now, we will begin to find the value of x, y & z.

From the first equation,

10x + 5y + z = 101

Substitute the third equation (z = 4x) into z:

10x + 5y + 4x = 101

Simplify this and you get,

14x + 5y = 101

Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.

Now, substitute this into the value of y of the last working we did:

14x + 5(5+x) = 101

Simplify that and it becomes:

x = 4

Then, substitute this value of x into the second and third equations to find y and z.

y - x = 5

y - 4 = 5

y = 9

z = 4x

z = 4(4)

z = 16

Finally, let's check these answers by substituting them into the first equation to try and see if the total value is really $101.

10x + 5y + z = 10(4) + 5(9) + 16

10x + 5y + z = 40 + 45 + 16

10x + 5y + z = 101

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

Answer:

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

Step-by-step explanation:

;)

Answer:

Step-by-step explanation:

To find the slope, you need to find the y-intercept first (or the place the line crosses over the y-line). After you've found the y-intercept (-1), you need to find the next point that the line crosses. This line has a positive slope, so you'll want to look for the next point towards the right. The next point was 1 up and 2 over.

Answer:

y = 2/5x - 1

Step-by-step explanation:

There are a couple of different ways to figure this out, but since you have a graph, the fastest way is to count the slope, or m in the formula, by counting the rise (units up) over run (units to the right), which is 2/5. Then, find the value of b by finding the y-intercept on the graph, or -1.

Answer:

then babies babies babies

Step-by-step explanation:

thats what huhh

Answer: 67 babies

Step-by-step explanation:

10 babies + 1000 more babies = 110 babies

110 babies crying - 53 babies not crying = 67 babies crying

67 babies crying = a retired nanny

Answer:

(4,-4)

Step-by-step explanation:

(x,y)

y=3/4x - 7

y=3/4*(4)-7

y=3-7

y=-4

(4,-4)

The sοlutiοn tο the system οf equatiοns is x = 4.8, y = 6

We are given the fοllοwing system οf equatiοns:

x/5 + y = 8 ... (1)

10y = 6x ... (2)

Tο sοlve fοr x and y, we can use the substitutiοn οr eliminatiοn methοd.

Substitutiοn methοd:

Frοm equatiοn (2), we have:

y = 6x/10 = 3x/5

Substituting y = 3x/5 intο equatiοn (1), we get:

x/5 + 3x/5 = 8

Multiplying bοth sides by 5, we get:

x + 3x = 40

4x = 40

x = 10

Substituting x = 10 intο equatiοn (2), we get:

10y = 6(10)

10y = 60

y = 6

Therefοre, the sοlutiοn tο the system οf equatiοns is:

x = 10, y = 6

Eliminatiοn methοd:

We can eliminate y by multiplying equatiοn (1) by 10:

2x + 10y = 80 ... (3)

Nοw we can subtract equatiοn (2) frοm equatiοn (3) tο eliminate y:

2x + 10y - 6x = 80

-4x + 10y = 80

Dividing bοth sides by 2, we get:

-2x + 5y = 40 ... (4)

We can sοlve fοr y in equatiοn (4) by multiplying bοth sides by 2/5:

-4x/5 + y = 16

y = 16 + 4x/5

Nοw we can substitute this expressiοn fοr y intο equatiοn (1) and sοlve fοr x:

x/5 + (16 + 4x/5) = 8

Multiplying bοth sides by 5, we get:

x + 16 + 4x = 40

5x = 24

x = 4.8

Substituting x = 4.8 intο the expressiοn fοr y, we get:

y = 16 + 4(4.8)/5

y = 6

Therefοre, the sοlutiοn tο the system οf equatiοns is:

x = 4.8, y = 6

Nοte that this sοlutiοn is an apprοximatiοn since x is nοt an integer. If we require an integer sοlutiοn, then we must use the first methοd (substitutiοn) tο find x = 10 and y = 6.

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Answer:

471.24 yd²

Step-by-step explanation:

The formula for the surface area of the cylinder

= 2πr(r + h)

Height = 10 yd

Radius = 5 yd

Surface area =

2 × π × 5(5 + 10)

= 471.24 yd²

The surface area of the cylinder = 471.24 yd²

Answer:

9a to the power 2 +4 is the answer

Step-by-step explanation:

multiple 3a x 3a u wud get 9a to the power 2

-2 x -2 u wud get = 4

then combine the two and write the answer

Answer:

9a² - 12a + 4

Step-by-step explanation:

Given

(3a - 2)(3a - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

3a(3a - 2) - 2(3a - 2) ← distribute both parenthesis

= 9a² - 6a - 6a + 4 ← collect like terms

= 9a² - 12a + 4

Answer:

C. \(19\)

Step-by-step explanation:

BD = DC because angles ADC and ADB are right angles.

Thus, \(4x-5=2x+7\)

Add 5 to both sides:

\(4x-5+5=2x+7+5\)

\(4x=2x+12\)

Subtract 2x from both sides:

\(4x-2x=2x+12-2x\)

\(2x=12\)

Divide both sides by 2:

\(\frac{2x}{2}=\frac{12}{2}\)

\(x=6\)

DC \(=4x-5\)

\(=4(6)-5\)

\(=24-5\)

\(=19\)