find the measure of angle A

The amount of increase between the original price  $9 billion and current price of $32.347 billion is 23.347 billions dollars

The original price or amount is 9 billion dollars.

The price later changed to $32.347 billion. This means the current price is $32.347 billion.

Therefore, the change or increase in amount can be calculated as follows;

increase = 32.347 billion - 9 billion

Hence,

amount of Increase = 23.347 billions dollars

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Answer:

C

Step-by-step explanation:

The interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁

From the five- number summary , then

Q₃ = 24.5 and Q₁ = 11.1

interquartile range = 24.5 - 11.1 = 13.4 → C

The solutions of x in the circles are

19. x = 7

20. x = 17

21. x = 20

Circle 19

The chords in the circle are intersecting chords

So, we use the equation of intersecting chords as follows

x * 27 = 9 * 21

Divide both sides by 27

x = 9 * 21/27

Evaluate

x = 7

Circle 20

The secants in the circle are intersecting secants

So, we use the equation of intersecting secants as follows

7 * (7 + x) = 8 * (8 + 13)

Divide both sides by 7

7 + x = 8 * (8 + 13)/7

Evaluate

x = 24 - 7

So, we have

x = 17

Circle 21

Here, we have intersecting secant and tangent lines

So, we use the following equation

x * x = 8 * (8 + 42)

This gives

x * x = 400

Take the square roots

x = 20

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Answer:

i think it's c

Step-by-step explanation:

The total number of minutes that Anaya rides her bike on Monday and Tuesday is 18 minutes.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that on Monday, Anaya rides her bike for 9 minutes. On Tuesday, she rides her bike times as many minutes as on Monday.

Total number of minutes = Monday time + Tuesday time

Total number of minutes  = 9 + 9

Total number of minutes  = 18 minutes

Therefore, the total number of minutes that Anaya rides her bike on Monday and Tuesday is 18 minutes.

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Answer:

100

i hope it helps

Answer:

100

Step-by-step explanation:

The approximate loudness of the intense music concert, measuring an intensity of 10-1 watts per square meter, is 20 decibels.

The formula for loudness in decibels is:

L = 10 log(I/I_0)

where I_0 is the least intense sound that a human ear can hear, which is approximately \(10^{(-12)\) watts per square meter.

Substituting the given values, we get:

L = 10 log(\(10^{(-1)} / 10^{(-12)}\))

L = 10 log(\(10^{11\))

L = 10 * 11

L = 110 decibels

However, this is an extremely high value, and it is unlikely for a music concert to have such intensity. Moreover, the question mentions that the music is intense, which means that the intensity should be greater than the least intense sound that a human ear can hear, but not to an extreme extent.

Therefore, it is more reasonable to assume that the intensity is \(10^{(-1) }\)watts per square meter, which gives us:

L = 10 log(\(10^{(-1)} / 10^{(-12)}\))

L = 10 log(\(10^{11}\))

L = 10 * 1

L = 20 decibels

Thus, the approximate loudness of the intense music concert, measuring an intensity of \(10^{(-1) }\)watts per square meter, is 20 decibels.

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Answer:$13.82

Step-by-step explanation:

$79.99+7.75%=$86.18

$100-$86.18=$13.82

The height of the tree after 6 years can be expressed as "3 feet + 6f feet."

The correct answer is A. 3f + 6 feet.

To determine the current height of the tree in terms of "f,"

let's analyze the given information.

We know that the tree was initially 3 feet tall when it was planted 6 years ago.

Since the tree grows every year, we can assume that its growth rate is consistent.

Let's denote the current height of the tree as "h" (in feet).

After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").

Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."

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We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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2.73

1.3x2.1=2.73

1.3

x2.1

13

+26

2.73

Answer:

To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:

a × (b + c) = a × b + a × c

Using this property, we can break down 2.1 as the sum of 2 and 0.1:

1.3 × 2.1 = 1.3 × (2 + 0.1)

= 1.3 × 2 + 1.3 × 0.1

= 2.6 + 0.13

= 2.73

Therefore, 1.3 multiplied by 2.1 equals 2.73.

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

The expressions are simplified to;

a. 3n

b. 8c

c. xy + 8y

Algebraic expressions are defined as mathematical expressions that are composed of coefficients, variables, terms, factors and constants.

They are also made up of some operations, mathematical or arithmetic, which includes;

Given the expressions;

a.  n + n + n

Since they are like terms, collect and them together

We have;

3n

b.  3c + 5c

Add the like terms

8c

c. 3xy + 5y − 2xy + 3y

collect like terms

3xy - 2xy + 5y + 3y

Add or subtract like terms

xy + 8y

Hence, the values are 3n, 8c and xy + 8y respectively.

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Answer:

D 0.89275

Step-by-step explanation:

If you graph a linear equation, you can pick any value of x and check the corresponding value in the y-axis through the graph. This way, if we supppose an equation y = 2x, we can pick the numbers:

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, and 30, and calculate the value of y for each one, or just see it in the graph, as follows:

If you plot a more detailed graph, it can become even easier to find to solve the question proposed to Max. It is possible to insert gridlines to ease the visualization, as follows:

Answer: Max can pick values in the x-axis and use the gridlines to find the corresponding point in the graph to each x, and from there, use again the gridline to find the value of y associated with that point. This way, Max will be able to find the 15 solutions, which are 15 ordered pairs.

Slope of QR = 4/7; Slope of ST = 4/7, therefore, the lines are parallel to each other.

To determine if two given lines are perpendicular to each other or parallel to each other, find their slopes.

Slope, m = change in y / change in x.

If they have the same slope, m, then they are parallel lines. If they have slopes that are negative reciprocal to each other, then they are perpendicular lines.

Given:

Q(9, 10)

R(-5, 2)

S(-8, -2)

T(-1, 2)

Find the slope of QR and ST:

Slope of QR = (10 - 2)/(9 -(-5)) = 8/14 = 4/7

Slope of ST = (-2 - 2)/(-8 -(-1)) = -4/-7 = 4/7

The slope are the same, therefore they are parallel to each other.

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The formula for sin(a - b) is sin(a)cos(b) - cos(a)sin(b).

To find the formula for sin(a - b), we can use the identity for cosine of a sum of angles, which states that:

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

We can rearrange this equation to solve for sin(a - b):

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

cos(a + b) = cos(a)cos(b) + (-1)(sin(a)sin(b)) [multiplying sin(b) by -1]

cos(a + b) = cos(a)cos(b) + sin(a)(-sin(b)) [rearranging terms]

cos(a + b) = cos(a)cos(b) - sin(a)sin(b) [sin(b) can be replaced by -sin(b)]

Comparing this equation with the given identity, we can see that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Therefore, the formula for sin(a - b) is sin(a)cos(b) - cos(a)sin(b).

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The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

nonlinear

Step-by-step explanation:

Part B: nonlinear

The radius increases so the line is an arc going upwards not a linear line.

In other words, not a straight line.

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

x = 41.2

Step-by-step explanation:

Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.

Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.

The probability that the average amount billed on the sample bills is greater than $1000 is 0.0668.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation

a. Let X be the amount paid by a certain credit card service.

From the details supplied, the X-bar is $485, the standard deviation is $300 and n=900.

By the central limit theorem when the sample size is high, the sample mean fits the normal distribution with the mean μ and the standard deviation function

So the likelihood that the total sum paid on the sample bills is greater than $500 is seen.

= P ( Z > 1.5 )

= 1 - 0.93319

{ From excel function =NORM.DIST(1.5,0,1,TRUE)

= 0.0668

Thus, the probability that the average amount billed on the sample bills is greater than $1000 is 0.0668.

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complete question:

Among all monthly bills from a certain credit card company, the mean amount billed was $485 and the standard deviation was $300. In addition, for 15% of the bills, the amount billed was greater than $1000. A sample of 900 bills is drawn. What is the probability that the average amount billed on the sample bills is greater than $500? What is the probability that more than 150 of the sampled bills are for amounts greater than $1000

Answer:

321

Step-by-step explanation:

Answer:

there should be 4 triangles

Tamara should expect the sum of the two cubes to be equal to 7 around 30 times when rolling the two number cubes 180 times.

To determine how many times Tamara should expect the sum of the two number cubes to be equal to a certain value, we need to analyze the chart and calculate the probabilities.

Let's examine the chart and count the number of times each sum occurs:

Sum: 2, Occurrences: 1

Sum: 3, Occurrences: 2

Sum: 4, Occurrences: 3

Sum: 5, Occurrences: 4

Sum: 6, Occurrences: 5

Sum: 7, Occurrences: 6

Sum: 8, Occurrences: 5

Sum: 9, Occurrences: 4

Sum: 10, Occurrences: 3

Sum: 11, Occurrences: 2

Sum: 12, Occurrences: 1

Now, let's calculate the probabilities of each sum occurring.

Since there are 36 possible combinations when rolling two number cubes, the probability of each sum is the number of occurrences divided by 36:

Probability of sum 2 = 1/36

Probability of sum 3 = 2/36

Probability of sum 4 = 3/36

Probability of sum 5 = 4/36

Probability of sum 6 = 5/36

Probability of sum 7 = 6/36

Probability of sum 8 = 5/36

Probability of sum 9 = 4/36

Probability of sum 10 = 3/36

Probability of sum 11 = 2/36

Probability of sum 12 = 1/36

To find out how many times Tamara should expect a certain sum when rolling the two number cubes 180 times, we can multiply the probability of that sum by 180.

For example, to find the expected number of times the sum is 7:

Expected occurrences of sum 7 = (6/36) \(\times\) 180 = 30

Similarly, we can calculate the expected occurrences for all other sums.

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Answer:

(-5,+29)

Step-by-step explanation:

\(y=-4x+9\\ y=-4(-5)+9\\ y=20+9\\ y=29\)

The graph of linear function y – 2x = 3 is attached. The equation transformed 2 units up and 3 units down are y = 2x + 5 and y = 2x respectively.

In order to graph a linear function, determine the value of y substituting different values of x and plot the resulting coordinates on a graph and connect them with a line. The graph is plotted for the linear function: y – 2x = 3. The slope-intercept form of a linear equation is where one side contains just y and is given in general form: y = mx + b where m is the slope and b is the y-intercept. The slope intercept forms the linear equation is y = 2x + 3.

Function transformation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape. In order to transform the linear function 2 units up, the graph will move up by 2 units. Hence, the slope-intercept form of transformed equation is y = 2x + 3 + 2, hence y = 2x + 5. In order to transform the linear function 3 units down, the graph will move down by 3 units. Hence, the slope-intercept form of transformed equation is y = 2x + 3 - 3, hence y = 2x.

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Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

X+8 ANSWER CHECK IT SHOULD BE THE ANSWER

the answer would be 240 because wind speed is close to its median