What is the image of the point (-3 , 14) after a counterclockwise rotation about the origin through an angle of 90 degrees?

The corresponding point on the graph is (9, 21). This point is within the normal respiratory rate region, which is defined by the system of linear inequalities. Therefore, model breakdown has not occurred.

The given problem involves the normal respiratory rates of children aged 3 to 15 years. The respiratory rate, measured in breaths per minute, is represented as a function of age using a system of linear inequalities. The graph depicts a normal respiratory rate region that models the respiratory rate ranges shown in the table. The problem requires us to identify a specific point on the graph that corresponds to a respiratory rate of 21 breaths per minute for a 9-year-old child. The ordered pair (9, 21) represents the corresponding point on the graph.

Further, we need to determine if this point lies within the normal respiratory rate region or if model breakdown has occurred. The system of linear inequalities defines the normal respiratory rate region, and we can determine if the point (9, 21) satisfies these inequalities. In this case, the point (9, 21) lies within the normal respiratory rate region and satisfies the system of linear inequalities. Therefore, model breakdown has not occurred, and the given model is an appropriate approximation of the normal respiratory rate region for children aged 3 to 15.

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Answer:

146.82 yards is the distance from tee to hole.

Step-by-step explanation:

Let A is the position of tee and where the golfer is standing.

C is the position of hole.

CB is the vertical distance between greens and tee.

Angle of elevation,

To find: side AC.

Using trigonometric functions, we know that value of sine is:

[tex]sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]

Here [tex]\theta=\angle BAC=15^\circ[/tex]

Perpendicular is side CB.

Hypotenuse is side AC.

[tex]\text{sin}12^\circ=\dfrac{\text{CB}}{\text{AC}}[/tex]

[tex]\implies\text{CB}=\dfrac{38}{\text{sin}15^\circ}[/tex]

[tex]\implies\text{CB}=146.82[/tex]

Hence, 146.82 yards is the distance from tee to hole.

60 adult tickets and 45 children tickets were sold.

Let's use algebra to solve the problem:

Let x be the number of adult tickets sold.

Let y be the number of children tickets sold.

From the problem, we know that:

x + y = 105 (total tickets sold)

10x + 6y = 870 (total amount raised)

We can solve this system of equations by using elimination:

Multiply the first equation by 6: 6x + 6y = 630

Subtract the second equation from the first: 4x = 240

Solve for x: x = 60

Now we can use x to find y:

x + y = 105

60 + y = 105

y = 45

Therefore, 60 adult tickets and 45 children tickets were sold.

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Answer:

The first term of the sequence is -3 and the common difference is -1/3. Therefore, the second term of the sequence can be found by adding the common difference to the first term:

second term = first term + common difference

second term = -3 + (-1/3)

second term = -10/3

Similarly, we can find the third term by adding the common difference to the second term:

third term = second term + common difference

third term = -10/3 + (-1/3)

third term = -11/3

And we can find the fourth term by adding the common difference to the third term:

fourth term = third term + common difference

fourth term = -11/3 + (-1/3)

fourth term = -4

Therefore, the first four terms of the sequence are -3, -10/3, -11/3, and -4.

Answer:

Alright

Step-by-step explanation:

50/1.428

Multiply the numerator by the denominator to get 50000/1428

Set equation up in long division format

Divide 50000 by 1428 to get 3

Divide 7160 by 1428 to get 5

Divide 200 by 1428 to get 0

Divide 2000 by 1428 to get 1

Divide 5720 by 1428 to get 4

Divide 80 by 1428 to get 0

Divide 800 by 1428 to get 0

35.014

Answer:

To find the real and imaginary parts of the complex number 26 = a + bi, we can use the fact that:

a + bi = 26

Taking the complex conjugate of both sides, we get:

a - bi = 26

Adding the two equations, we get:

2a = 52

Solving for a, we get:

a = 26

Substituting this value into one of the equations, we get:

26 + bi = 26

Therefore, b = 0.

Therefore, the real part of 26 is a = 26, and the imaginary part is b = 0.

Answer:

-2 ( 2x - 3 )

Step-by-step explanation:

We know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( - )

( + ) × ( - ) = ( - )

Accordingly,

-4 ( x - 1 ) + 2

First, solve the brackets. That is, multiply each term inside the brackets by -4.

- 4x + 4 + 2

Combine like terms.

- 4x + 6

You can take the common factor out of the brackets.

-2 ( 2x - 3 )

Answer:

183.3

Step-by-step explanation:

Since there were 1 angle and 2 sides, I used law of cosines

Answer:

i did this in 8th grade. (I'm homeschooled)

Step-by-step explanation:

Heres the best i got

Answer:

0 (-72522)

Step-by-step explanation:

ahora tienes negativo manzanas

Answer:

x = 0

Step-by-step explanation:

9x - 7 = -7

Add 7 to both sides.

9x - 7 + 7 = -7 + 7

9x = 0

Divide both sides by 9.

9x/9 = 0/9

x = 0

Answer:

x=0

Step-by-step explanation:

Answer:

Step-by-step explanation:

To simplify this expression, we will distribute the -4 and -3 to the terms inside the parentheses:

-4(-11+4n) - 3(-2n+9)

= 44 - 16n + 6n - 27

= -16n - 17

Therefore, the simplified expression is -16n - 17.

So the probability that Angela gets to go to the meeting is 2/5.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.

Here,

There are a total of 5 people in the club, so there are 10 possible pairs of people that could be chosen to go to the meeting. Since each pair is equally likely to be chosen, the probability of any particular pair being chosen is 1/10.

To determine the probability that Angela gets to go to the meeting, we need to count the number of pairs that include Angela. There are 4 other people in the club, so there are 4 possible pairs that include Angela. Therefore, the probability that Angela gets to go to the meeting is:

P(Angela) = number of pairs that include Angela / total number of pairs

= 4 / 10

= 2 / 5

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Answer:

64, 69, 88, 88, 91, 92, 93, 95, 97, 97, 100

Median= 92

Mode= 88, 97

Mean= 88.55

Range= 36

Quartile 1= 88

Quartile 2= 92

Quartile 3= 97

Interquartile range= 9

Minimum= 64

Maximum= 100

Not sure if this helped but I hope it did

The coordinates of the point P on the directed line segment from A to B such that P is 2/3 the length of the line segment from A to B are (-1, 2).

The coordinates of point P are obtained applying the proportions in the context of the problem.

P is 2/3 the length of the line segment from A to B, hence the equation is given as follows:

P - A = 2/3(B - A)

Then the x-coordinate of P is obtained considering the x-coordinates of A and B as follows:

x - 9 = 2/3(-6 - 9)

x - 9 = -10

x = -1.

The y-coordinate of P is obtained considering the y-coordinates of A and B as follows:

y + 8 = 2/3(7 + 8)

y + 8 = 10

y = 2.

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Answer: x= 6241/2

Step-by-step explanation:

Answer:

[tex]yeah \: 2 + 2 = 4[/tex]

Total volume of shape is =144cu.cm

By knowing the length of the cube's edges, we can quickly determine its volume (V). Assume that "a" is the cube's edge length. The product of length, height, and breadth will then be the V. The cube's volume formula is as follows:

Cube Volume = Length× Width× Height

Volume equals= a× a× a =a³

where "a" denotes the cube's side or edges' length.

Length of each cube = 2cm

Volume of each cube=a³

=2³

=8cm³

Total number of cubes=18

Total volume of shape=18×8

=144 cu.cm

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It would take approximately 115.38 minutes to drive 125 miles at a rate of 65 miles/hour.

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given that, the speed or rate is  65 miles/1 hr, how many minutes will it take to drive 125 miles.

First, we need to find the time it takes to travel 125 miles at a rate of 65 miles/hour.

We can use the formula:

Speed = Distance ÷ time.

time = distance / rate

time = 125 miles / 65 miles/hour

time = 25/13 hours

Now we can convert hours to minutes by multiplying by 60:

= 25/13 hours × 60 minutes/hour

= 115.38 minutes

Therefore, the required time is approximately 115.38 minutes.

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answer is

512

Step-by-step explanation:

1.6x80=128

128x4=512

The parallelogram ABCD's congruency can be proven using Side-Angle-Side (SAS) congruence theorem.

Prove that ΔABC ≅ ΔDCB using the Side-Angle-Side (SAS) congruence theorem.

Given that ABCD is a parallelogram, AB || CD and BC || AD. Therefore, ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DCA because they are corresponding angles.

AB ≅ CD and BC ≅ AD because opposite sides of a parallelogram are congruent.

Lastly, AC ≅ AC because it is a shared side between the two triangles.

Therefore, the following congruent parts:

∠ABC ≅ ∠DCB (by corresponding angles)

AB ≅ CD (by opposite sides)

BC ≅ AD (by opposite sides)

AC ≅ AC (shared side)

The SAS congruence theorem concludes that ΔABC ≅ ΔDCB.

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Image transcribed:

Prove ΔABC ≅ ΔDCB

Answer:

A fraction tells you how many parts of a whole there are. When we find a fraction of an amount, we are working out how much that 'part' is worth within the whole. You can see fractions of amounts all around us

Step-by-step explanation:

i may be wrong but I tried

Answer:

Step-by-step explanation:

y = 3x + 9

13

First, we divide to figure out how much Jane makes an hour

143 ÷ 11 = 13

Second, we multiply multiply by 13 until we get 169

13 × 13 = 169

So Jane will make 169 dollars in 13 hours

Answer:

13 Hours

Step-by-step explanation:

$143 ÷ 11hrs = $13/hr that Jane is paid, so to find how many hours she will need to work to make $169

$169 ÷ $13 = 13 hours

Answer:

We can rewrite the function as:

f(x) = 3(8√3)^(2x) = 3(2^3√3)^(2x)

Using the properties of exponents, we can rewrite this as:

f(x) = 3(2^(3*2x)√3^(2x)) = 3(2^(6x)√(3^(2x)))

Therefore, the base of the exponent is 2.

Therefore , the solution of the given problem of function comes out to be the function's behavior on that range because it is not specified for negative values of x.

The midterm exam will include questions on design, geometry, numbers, each division, as well as actual and hypothetical geographic places. A piece of work describes the connections between variable elements that cooperate to produce the same outcome. A utility is a structure made up of numerous unique parts that work together to create unique outcomes for each input.

Here,

Given that the function in the graph you supplied is undefinable for negative values of x, its domain is (0, infinity).

Therefore, referring to the function as declining on the interval is illogical. (0, -infinity).

As we travel from right to left on the interval, we can observe that the function's values are indeed decreasing. (0, infinity).

We refer to this interval as the function's declining one because of this.

On the interval, we could state that the function is decreasing.

(-infinity, 0). However, in this specific instance, we are unable to discuss the function's behavior on that range because it is not specified for negative values of x.

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According to the question approximately 83.89% of professors make more than $75,000 calculated by forming the equation.

When the roots and solutions of two equations match, they are said to be equivalent. The same number, symbols, or expression must be added to or subtracted from both the equation's two sides to produce an equivalent equation. By multiplying or dividing both sides of an equation by a nonzero number, we can also obtain an analogous equation.

This issue can be resolved using the conventional normal distribution. First, we need to standardize the value of $75,000 using the formula:

z = (x - μ) / σ

where x is indeed the value we wish to standardise, is indeed the mean, and is the deviation.

z = (75,000 - 85,900) / 11,000

z = -0.99

Next, we look up the area to the right of z = -0.99 in the standard normal distribution table or by using a calculator. The area to the left of z = -0.99 is 0.1611, so the area to the right of z = -0.99 is:

1 - 0.1611 = 0.8389

Therefore, approximately 83.89% of professors make more than $75,000.

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