What is the length of segment TR?

_______ units

Answer: 12.96

Step-by-step explanation:

3.14 or pi * radius ^2

3.14 *2^2

12.96

Answer:

5 seconds

Step-by-step explanation:

d = 16t^2

You are given the distance, d, and you need to find the time, t. Replace d with the given distance, 400 ft.

d = 400

400 = 16t^2

Switch sides.

16t^2 = 400

Divide both sides by 16.

t^2 = 25

Take the square root of both sides.

t = 5

Answer: 5 seconds

It takes 5 seconds for the penny to hit the ground when it falls from a height of 400 feet.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The distance d (in feet) a penny falls from the window of a building is represented by ;

[tex]d = 16t^2[/tex]

where t is the time (in seconds) it takes for a penny to hit the ground.

d = 400

[tex]400 = 16t^2\\\\16t^2 = 400\\t^2 = 25\\t = 5[/tex]

Therefore, It takes 5 seconds for the penny to hit the ground when it falls from a height of 400 feet.

Learn more about quadratic equations;

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Answer:

It is A for sure because all of the angles are acute so yes A

The correct answer is a

Answer:

- 15x² + 7x + 1

Step-by-step explanation:

Given

2x² - 9 - 17x² + 10 + 7x ← collect like terms

= (2x² - 17x² ) + 7x + 1

= - 15x² + 7x + 1

discr etemathematics deals with objects that can assume only distinct, separate values like integers. information technology needs separate values so as to be accepted

Final answer:

Discrete mathematics is crucial in Information Technology for creating efficient algorithms in cryptography, network communication, and software development, as well as for driving insights from data analysis.

Explanation:

Answer:

k=(-7y+11)/4

Step-by-step explanation:

Given

11(k-1)= 7(k-y)

In order to find the value of K we have to separate k on one side, so

Multiplying 11 and 7 into the brackets on both sides

11k-11=7k-7y

Subtracting 7k on both sides

11k-11-7k=7k-7y-7k

11k-7k-11= -7y

Adding 11 to both sides

4k-11+11= -7y+11

4k= -7y+11

4k=-7y+11

k=(-7y+11)/4

So the value of K is (-7y+11)/4.

4029*26= 104754

Answer:104754

My answer is right.

Answer:

100,400,754

Step-by-step explanation:

The cost of the unfurnished and furnished apartments for 1 year would be $8,650 and $9,880 respectively. Therefore, the unfurnished apartment is the better deal for Jonathan.

The cost for the unfurnished apartment for one year would be $600 (monthly rent) * 12 (months) + $600 (one month deposit) + $350 (security deposit) + $850 (furniture cost) = $8,650.

The cost for the furnished apartment for one year would be $190 (rent per week) * 52 (weeks in a year) = $9,880.

Therefore, the unfurnished apartment offers a better deal for Jonathan if he plans to stay for 1 year.

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Answer:

(x,y)= (-3,1)

Step-by-step explanation:

4x + 9y = -3  => eq(i)

8x + 12y = 12  => eq(ii)

We need to solve these equations to find the values of x and y.

Multiply eq (i) with 2 and then subtract both equations

8x + 18y = -6  

8x + 12y = 12

-     -          -

__________

6y = -18

y= -18/6

y = -3

Putting value of y in eq(i)

4x + 9y = -3

x = -3

4(-3) + 9y = -3

-12 + 9y = -3

9y = -3+12

9y= 9

y= 9/9

y = 1

So, the value of x = -3 and y = 1

(x,y)= (-3,1)

Answer:

Y = 64°

Step-by-step explanation:

The internal angles of a triangle sum to 180°

So by subtracting the known angles from the angle sum you can find Y

Y = 180° - 37° - 79° = 64°

Answer:

64

Step-by-step explanation:

Add up the first two angles, 79+37=116

Subtract this from 180, 180-116=64

Theres your answer

Answer: could you please be more clear..?

Step-by-step explanation:

The probability of drawing a red marble followed by a blue marble, without replacement, is approximately 0.083.

The question is about probability in a scenario where there's no replacement after each draw. The total number of marbles is 7 (red) + 9 (white) + 5 (blue) = 21 marbles. If we are to draw two marbles without replacement, the total outcomes reduce by 1 with each draw.

Let's say we want to find the probability of drawing a red marble and then a blue marble. The probability of drawing a red marble on the first draw is 7/21. After drawing a red marble, we are left with 20 total marbles, so the probability of drawing a blue one is 5/20. Therefore, the probability of these two events happening in sequence is calculated by multiplying the separate probabilities: (7/21) * (5/20) = 7/84 ≈ 0.083.

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ANSWER

EXPLANATION

The given equation is

[tex]4 {x}^{2} + 4 {y}^{2} = 64[/tex]

We divide through by 4 to obtain;

[tex]{x}^{2} + {y}^{2} = 16[/tex]

This can again be written as:

[tex]{x}^{2} + {y}^{2} = {4}^{2} [/tex]

This is the equation of a circle centered at the origin with radius 4 units.

The graph is shown in the attachment.

Answer:

Domain: [-4,4]

Range : [-4,4]

Step-by-step explanation:

Given equation is [tex]4x^2+4y^2=64[/tex].

Now we need to graph and find about what are domain and range of the given problem.

[tex]4x^2+4y^2=64[/tex]

divide both sides by 4

[tex]x^2+y^2=16[/tex]

[tex]x^2+y^2=4^2[/tex]

Which looks similar to the formula of circle

[tex]x^2+y^2=r^2[/tex]

that means it is a circle with radius 4. whose centre is at the origin.

From graph we can easily see that

Domain: [-4,4]

Range : [-4,4]

4x - y = -6 ....(1)

5x + y = -21 ....(2)

(1) + (2)

9x = -27

x = -3

from (1)

4 * -3 - y = -6

we solve

y = -6

so the answer is

D ( - 3 , - 6 )

The solution to the system of equations is (-3, 6), which corresponds to option D, by using the elimination method to first find x = -3 and then substituting it back to find y = 6.So,option D is correct.

To solve the system of equations using addition (also known as the elimination method), we start with the two given equations:

4x - y = -6

5x + y = -21

Adding these equations together allows us to eliminate the y variable:

4x - y + 5x + y = -6 - 21

Combining like terms, we get:

9x = -27

Dividing by 9 to solve for x:

x = -3

Next, we substitute x = -3 into one of the original equations to solve for y. Using the first equation:

4(-3) - y = -6

-12 - y = -6

y = -6 + 12

y = 6

The solution of the system is the pair (-3, 6), which corresponds to option D.

As a quick check, we can substitute x = -3 and y = 6 into both original equations to ensure they satisfy both equations. Doing this confirms that the solution is correct.

Answer:

x ≈ 4.4 in

Step-by-step explanation:

The segment from the centre to the chord is a perpendicular bisector.

The third side of the right triangle = 7.4 ÷ 2 = 3.7

Consider the right triangle with legs 3.7 and 2.4 and hypotenuse x

Using Pythagoras' identity

x² = 2.4² + 3.7² = 5.76 + 13.69 = 19.45

Take the square root of both sides

x = [tex]\sqrt{19.45}[/tex] ≈ 4.4

Answer:14

Step-by-step explanation: 4+10=14

Answer: 4 + 10 = 14. So, the answer is 14 cats

16% is the most accurate answer

16% is the answer to this question

Answer: C. A general rule most people follow

Step-by-step explanation: A rule of thumb is a principle with broad application that is not intended to be strictly accurate or reliable for every situation.  

The term 'rule of thumb' refers to a general rule or principle that people often follow, based on practical experience and wisdom. It isn't universally true for all situations but serves as a useful guideline.

A rule of thumb generally refers to an option C, which is a general rule that people tend to follow, but it isn't necessarily universally true or applicable to every situation. It's a guideline or heuristic that helps simplify or solve problems, based on practical experience rather than theory.

For example, a common rule of thumb in cooking may be that 'one cup of uncooked rice serves two people'. However, this may vary depending on the individuals' appetites, age, and more.

So, from options given, a rule of thumb most closely aligns with 'C: A general rule most people follow'.

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Answer:

I believe you, by the looking of it, I would do the same

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The n th term formula of a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

[tex]\frac{ar^3}{ar}[/tex] = [tex]\frac{54}{6}[/tex] = 9

r² = 9 ⇒ r = [tex]\sqrt{9}[/tex] = 3 → C

The answer would be C.

To find the length of line AB, the distance formula √((x2 - x1)² + (y2 - y1)²) is used, with coordinates substituted. The calculated distance is approximately 13.6 units.

To calculate the length of the line AB, we use the distance formula which is derived from the Pythagorean theorem. The formula is:

d = √((x2 - x1)² + (y2 - y1)²)

Here, (x1, y1) are the coordinates of point A and (x2, y2) are the coordinates of point B.

Now, let's substitute the given coordinates into the distance formula:

d = √((7 - (-4))² + (-2 - 6)²)

d = √((7 + 4)² + (-8)²)

d = √(11² + (-8)²)

d = √(121 + 64)

d = √185

d ≈ 13.6

The length of the line AB is approximately 13.6 units.

Let iron = x

There is 1.5 times the amount of zinc that there is iron, so you get zinc = 1.5x

There is 3 times as much copper as there is zinc, so 1.5 x 3 = 4.5, so copper equals 4.5x

Now all three need to equal the total weight of 210:

X + 1.5x + 4.5x = 210

Simplify:

7x = 210

Divide both sides by 7:

x = 210 /7

x = 30

Now you have a value for x, you can solve for the amount of each material.

Iron = x = 30 g

Zinc = 1.5x = 1.5(30) = 45 g

Copper = 4.5x = 4.5(30) = 135g

There is 45 g of zinc.

Let iron =x

There is 1.5 times the amount of zinc then there is iron, so zinc = 1.5x

There is 3 times as much copper then there is zinc, so 1.5*3=4.5, so copper equals 4.5x

Final answer:

The equation can then be solved to find the value of 'm', representing the minutes of talk time. In this case, the answer is 68 minutes of talk time each month.

Explanation:

To find the minutes of talk time you use each month, we can set up an equation based on the given information. Let's assume that the number of minutes of talk time you use each month is represented by 'm'.

The total cost for all 6 months is $195.12, which is equal to the sum of the monthly costs. Each month, the cost of the cell phone plan is $23.70 for 700 minutes of talk time, plus an additional $0.06 per minute for each minute over 700 minutes. Additionally, to get email access, it costs 20% of the price for 700 minutes of talk time.

Based on this information, the equation is: 195.12 = 6(0.06m + 23.70 + 0.20(23.70))

To solve the equation, we can simplify it: 195.12 = 6(0.06m + 23.70 + 4.74)

195.12 = 6(0.06m + 28.44)

Divide both sides of the equation by 6, we get: 32.52 = 0.06m + 28.44

Subtract 28.44 from both sides of the equation, we get: 32.52 - 28.44 = 0.06m

4.08 = 0.06m

Divide both sides of the equation by 0.06, we get: m = 68

Therefore, you use 68 minutes of talk time each month.

Final answer:

After setting up the equation based on the total cost for 6 months, we calculate that the user talks for a total of 768 minutes each month. This includes the 700 minutes in the plan and an additional 68 minutes of talk time.

Explanation:

To solve for the number of minutes of talk time used each month, we first set up an equation based on the information given. The total cost for 6 months is $195.12 which includes the monthly plan cost, the additional cost per minute after 700 minutes, and the email cost which is 20% of the 700 minutes talk time plan.

The equation, therefore, is 195.12 = 6(0.06m + 23.70 + 0.20(23.70)), where m is the number of minutes used over 700. Let's solve the equation step-by-step:

Therefore, you use 68 minutes over the 700 included minutes, which means you use a total of 700 + 68 = 768 minutes of talk time each month.

First you should simplify the inequality and get n by itself:

3n - 10 ≥ 2      Add 10 on both sides

3n ≥ 12       Divide 3 on both sides

n ≥ 4

When the sign is ≤ or ≥ (less/greater than or equal to), the line is a solid line.

When the sign is < or >, the line is a dotted line.

If the variable is > than the function (like y > 3x + 2, or x > 2y²) The shaded area is above the line (or going in the positive direction)

If the variable is < than the function (like x < 2, or x < 5z - 7), The shaded area is below the line.

Since we got n ≥ 4,

If n is an x value, or n = x, you would have a horizontal line at y = 4, but if n is a y value, n = y, you would have a vertical line at x = 4. The shaded area should be above the line, or to the right of the line since n is > 4. (Sorry, I don't know if n = y or n = x, hope this clarified things)

Answer:

n ≥4

Step-by-step explanation:

3n -10 ≥ 2

Add 10 to each side

3n -10+10 ≥ 2+10

3n ≥12

Divide by 3

3n/3 ≥12/3

n ≥4

Answer:  I and II.

Step-by-step explanation:

By definition, two solids are similar if their corresponding sides are in the same ratio.

Knowing this, let's find which solids are similar:

Corresponding sides ratio of solids I and II:

[tex]\frac{3}{2}=\frac{2}{\frac{4}{3}}=\frac{5}{\frac{10}{3}}[/tex]

[tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex]

Corresponding sides ratio of solids I and III:

[tex]\frac{3}{\frac{9}{2}}=\frac{2}{3}=\frac{5}{8}[/tex]

[tex]\frac{2}{3}=\frac{2}{3}=\frac{5}{8}[/tex]

Corresponding sides ratio of solids II and III:

[tex]\frac{2}{\frac{9}{2}}=\frac{\frac{4}{3}}{3}}=\frac{\frac{10}{3}}{8}}[/tex]

[tex]\frac{4}{9}=\frac{4}{9}=\frac{5}{12}[/tex]

 You can observe that the solids  I and II are similar.

Answer: 1.5 kilometers.

Step-by-step explanation:

You need to make the conversion from 500 meters to kilometers.

It is important to remember that:

[tex]1\ kilometer=1,000\ meters[/tex]

Then, 500 m to km is:

[tex](500\ m)(\frac{1\ km}{1,000\ m})=0.5\ km[/tex]

Now you know that he ran 0.5 kilometers in each of his last three track meets.

To calculate the total amount of kilometers ran in those three meets, you need to multiply 0.5 kilometers by 3. Then:

[tex]Total=(0.5\ km)(3)\\Total=1.5\ km[/tex]

What is your question

What is the question

Answer:

A quadrilateral is a polygon with four sides.

Practicly anything with 4 sides like square, Rectangle ,and rhombas

Im sorry if i didn't answer your question but i did not get what you were saying but here is an image that can maybe help you

The quadrilateral has includes 7 types that are parallelogram, rhombus, kite, rectangle, trapezoid, square, and isosceles trapezoid.

The quadrilateral is a four-sided polygon having four angles.

Types of quadrilaterals:

Find out more information about the Classify quadrilaterals here:

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Answer:

126

Step-by-step explanation:

Using the definition of n [tex]C_{r}[/tex] = n! / r ! (n - r) !

where n ! = n(n - 1)(n - 2) ........ × 3 × 2 × 1

9 [tex]C_{4}[/tex]

= 9 ! / 4 ! 5 ! ← cancel 5 ! on numerator/ denominator

= [tex]\frac{9(8)(7)(6)}{4(3)(2)(1)}[/tex]

= [tex]\frac{3024}{24}[/tex]

= 126

Answer:

126 mayihavebrainly

Step-by-step explanation:

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

h(f(x)) is a "composite function."  We use the function f(x) as the input to the function h(x):

h(x) = 2x + 3, or 2( x ) + 3; replacing x with f(x), or x - 7, we get:

h(f(x)) = 2(x - 7) + 3, or

h(f(x)) = 2x - 14 + 3, or

h(f(x)) = 2x - 11

Answer: h(f(x)) = 2x - 11

Step-by-step explanation:

Answer:

160 dollars

Step-by-step explanation:

So you would add 6.19 and 9.81 together. Then divide it by 2.  You would get 8. Then multiply it by 20 and you would get 160 dollars