50 points will give brainliest

50 Points Will Give Brainliest

Answers

Answer 1

The x-coordinates of the vertices of the hyperbola are 11 and -11

How to determine the x-coordinates?

The hyperbola is given as:

[tex]\frac{x^2}{121} - \frac{y^2}{49} = 1[/tex]

A hyperbola is represented as:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

Where the coordinate of the vertex is:

Vertex = (±a, 0)

By comparing the above equations, we have:

[tex]a^2= 121[/tex]

Take the square of both sides

a = 11

Substitute 11 for a in Vertex = (±a, 0)

Vertex = (±11, 0)

Hence, the x-coordinates of the vertices of the hyperbola are 11 and -11

Read more about hyperbola at:

https://brainly.com/question/26250569

#SPJ1


Related Questions

TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10 , find the value of x

Answers

Answer:

  x = 35

Step-by-step explanation:

The angle sum theorem can be used to find the congruent vertical angles RET and IEV. The equation relating these can be solved for x.

Missing angle

The missing angle in triangle IVE is found using the angle sum theorem:

  ∠IVE +∠VIE +∠IEV = 180°

  ∠IEV = 180° -50° -70° = 60°

Vertical angle

Vertical angles RET and IEV are congruent:

  ∠RET = ∠IEV

  2x -10 = 60

  2x = 70 . . . . . . . . add 10

  x = 35 . . . . . . . . divide by 2

The value of x from the given conditions is 35.

The  line TV and RI intersect at E.

The measure of IVE=50° and the measure of VIE=70°.

Since, the points V, I and E makes a triangle.

Therefore, the total angle inside the triangle is 180°.

Hence,

∠IVE + ∠VIE + ∠VEI = 180°

50°+70°+ ∠VEI = 180°

∠VEI = 180°-50°-70°

∠VEI = 60°

Also the angles ∠VEI and the angle ∠RET are congruent.

Therefore, ∠VEI = ∠RET

60° = 2x-10

2x = 70

x = 70/2

x = 35.

The lines TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10. Then the value of x = 35.

Learn more about Congruent of shapes on

https://brainly.com/question/1675117

#SPJ1

What is the values of x?

Answers

Answer:

x = 34

Step-by-step explanation:

complementary angle sum to 90°

sum the 2 angles and equate to 90

x + x + 22 = 90

2x + 22 = 90 ( subtract 22 from both sides )

2x = 68 ( divide both sides by 2 )

x = 34

Which of the following best describes both the domain and range of the distance function d=55t

Answers

Answer: All real numbers

Step-by-step explanation:

The domain and range of all linear functions is the set of real numbers.

What is lcm of 3,6,9

Answers

Answer:

lcm of 3,6,9 is 18

Plot each point that is a horizontal distance of 6 and a vertical distance of 2 from the origin.

Answers

The points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)

What are points?

Points are undefined terms in geometry, however they are used to represent the coordinate or location of items in a coordinate plane

How to plot the point?

The features of the point are given as:

Horizontal distance = 6

Vertical distance = 2

The above means that:

x = 6

y = 2

The points are then represented as:

(x, y) = ±(x. y)

So, we have

(x, y) = ±(6, 2)

When the above equation is expanded, we have

(x, y) = (6, 2), (-6, 2), (6, -2), (-6, -2)

Next, we plot the points on a coordinate plane

See attachment for the graph of the plane

Hence. the points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)

Read more about points at:

https://brainly.com/question/17206319

#SPJ1

Which of the following shows the graph of y= 2e^x?

Answers

The graph of the given function, y = 2eˣ, is given below

Graph of a function

From the question, we are to determine the graph of the given function

The given function is

y = 2eˣ

The graph of y = 2eˣ is shown below

Learn more on Graph of a function here: https://brainly.com/question/16823382

#SPJ1

An American roulette wheel contains 38 slots. Eighteen of the slots are colored red and eighteen are colored
black. The remaining two slots are colored green. A ball is spun on the wheel and comes to rest in one of the
38 slots. If you bet $1 on the the number 32 and win, the house pays you $36.
What is the expected value of betting on 32?
$1
O-$1
4
O-$5.30
O-$0.053

Answers

The expected value of betting 32 is -$0.053, making the 4th option the right choice.

In the question, we are asked for the expected value of betting on 32, given that if we bet $1 on the number 32 and win, the house pays $36, and there are 38 slots.

The probability distribution can be shown as:

 x       $35       -$1

p(x)    1/38      37/38

as, if we get 32, which has the probability of 1/38, the winning number, we gain $35, and for the rest, having a probability of 37/38, the losing number, we lose -$1.

Thus, the expected value can be calculated as E(x) = ∑x.p(x).

Thus, the expected value = $35(1/38) + (-$1)(37/38) = -$2/38 = -$0.05263 ≈ -40.053.

Hence, the expected value of betting 32 is -$0.053, making the 4th option the right choice.

Learn more about expected value at

https://brainly.com/question/24151942

#SPJ1

The ratio of the weight of an object

Answers

The weighing of the man on the earth given the ratio is 174 pounds

Ratio

ratio of the weight of an object on the earth to the moon = 6:1

Weight of a man on the moon = 29 poundsWeight of the man on Earth = x

Equate the ratio

6 : 1 = x : 29

6/1 = x/29

cross product

6 × 29 = 1 × x

174 = x

x = 174 pounds

Complete question:

The ratio of the weight of an object on the earth to the moon is 6:1. If a man weighs 29 pounds on the moon, calculate his weighing on the earth.

Learn more about ratio:

https://brainly.com/question/2784798

#SPJ1

How many three-digit positive integers have three different digits?

Answers

648 is the three-digit positive integers have three different digits

According to the statement

we have given that there are three positive digit number are formed with three distinct digits.

And we have to find that the how many words are formed with distinct numbers.

So, to solve this type of problem the Combination formula is best.

Because it provides the all possibilities that from how many ways numbers are formed.

So, from a combination formula

here we take 9 two times because first time when we let a number then remaining numbers are 9.  and second time remaining numbers are also 9 because we let the distinct number but for third number there will be a probability that choosing number will be same.

So, Three digit positive number become from 9*9*8 =648

So, 648 is the three-digit positive integers have three different digits.

Learn more about COMBINATION here https://brainly.com/question/4658834

#SPJ1

A ship leaves port on a bearing of 36.0° and travels 12.1 mi. The ship then turns due east and travels 6.1 mi. How far is the ship from port, and what is its bearing

Answers

The bearing angle exists 53.49°.

How to estimate the bearing angle of a ship?

A bearing of 36° corresponds to the corresponding angle of

θ = 90 -36 = 54°

The (x, y) values for the position of the ship after achieving its first heading exist:

[tex]x_1[/tex] = 12.1 Cos 54° = 7.11 m

[tex]y_1[/tex] = 12.1 Sin 54° = 9.78 m

Our second displacement exists a simple 4.6 mi due east, that exists, the positive x-direction. The components exist therefore

[tex]x_2[/tex] = 6.1 mi

[tex]y_2[/tex] = 0 mi

To find the total displacement from the port, we'll add these two vectors' components and use the distance formula:

Δx [tex]= x_1+x_2[/tex]

= 7.11 mi + 6.1 mi = 13.21 mi

Δy [tex]=y_1+y_2[/tex]

= 9.78 mi + 0 mi = 9.78 mi

[tex]$r=\sqrt{(x_{total})^2+(y_{total})^2}[/tex]

[tex]=\sqrt{(13.21mi)^2+(9.78mi)^2}[/tex]

= 16.43 mi

The direction of the displacement vector exists given by

tan θ = Δy/Δx

θ = arc tan (Δy/Δx)

= arc tan (9.78/13.21)

= 36.51°

The question requested for the bearing angle, which exists just this angle subtracted from 90°:

90° - 36.51° = 53.49°.

Therefore, the bearing angle exists 53.49°.

To learn more about bearing angle refer to:

https://brainly.com/question/9865534

#SPJ9

your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound?

Answers

I would be better to purchase whole onions at $1.99 per pound, and cut them yourself

Optimization of cost

Number of bowls = 50

Weight of each bowl = 8

Total weight of the onion soup = 8 x 50 = 400 ounces

Note that:

1 pound = 16 ounces

Total weight in pounds = 400/16

Total weight in pounds = 25 pounds

If you buy the whole onions and purchase at $1.99 per pound

Total cost = 25 x 1.99 = $49.75

If you purchase pre-sliced onions at $2.99 per pound

Total cost = 25 x $2.99 = $74.75

Since it is cheaper to purchase whole onions at $1.99 per pound, it is the better choice

Learn more on cost optimization here: https://brainly.com/question/27468665

#SPJ1

A college currently has 600 students enrolled
full time. Of these students, 400 are science
majors while 200 are liberal arts majors. If
350 of the students are male, and 250 of the
males are science majors, how many female
students are liberal arts majors?
(A) 200
(B) 150
(C) 100
(D) 50

Answers

Answer:

C) 100

Step-by-step explanation:

250+600-350-400

850-350-400

500-400=100

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

Answers

A statement which could be true for g is that: A. g(-13) = 20.

What is a domain?

A domain can be defined as the set of all real numbers for which a particular function is completely defined.

How to determine the true statement?

Since the domain of this function is given by -20 ≤ x ≤ 5, it simply means that the value of x must between -20 and 5. Also, with a range of -5 ≤ g(x) ≤ 45, the value of x must between -5 and 45.

By extrapolating the function, we can deduce that:

g(0) = -2g(-9) = 6g(-13) = 20

Read more on domain here: https://brainly.com/question/17003159

#SPJ1

Complete Question:

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

A. g(-13) = 20

B. g(-4) = -11

C. g(7) = -1

D.g(0) = 2

A​ cone-shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to one-third its​ height, what portion of the volume of the cup is filled with​ water?

Answers

Answer is 150.72 cu.cm.
Let’s find the total cone volume first
Cone volume formula is 1/3 pi r^2 height
We know r = 6
We know height is 12
We will use 3.24 for pi
So
(1/3) (3.14) (6^2) (12) = 452.16
Now we want to find 1/3 of the volume so divide that by 3
Amount of water is 150.72 cu.cm.
Problem solved

Use the list method to write "the perfect square integers between 1 and 80 inclusive".

Answers

Answer:

Step-by-step explanation:

1 Answer

1=12.

4=22.

9=32.

16=42.

25=52.

36=62.

49=72.

64=82 .

f(x) =4x2 + 8x -5 factor completely

Answers

The factors of 4x^2 +8x-5 are (2x-1) and (2x+5)

Which of the following inequalities has no solutions?
Ox>3 and x < 2
Ox>3 and x < -2
Ox>3 and x < 2
Ox>3 and x > - 2

Answers

Answer:

A) x > 3 and x < 2 has no solutions

Step-by-step explanation:

Given inequalities below and we are looking for a pair with no solution.

Let's verify:

A) x > 3 and x < 2,

It has no solutions since the two inequalities have no common interval.

B) x > - 3 and x < - 2,

Its solution is -3 < x < - 2, the interval between two given endpoints.

C) x > - 3 and x < 2,

Similar to option B, the interval is between two endpoints:- 3 < x < 2

D) x > - 3 and x > - 2,

Its solution is x > - 2, the two inequalities cover almost same interval.

a2 + ab -2b2 factorise​

Answers

[tex]a {}^{2} + ab - 2 {b}^{2} [/tex]

[tex] = (a - b) {}^{2} [/tex]

Solve for X please hurry

Answers

Answer: 23.1

Step-by-step explanation:

[tex]\frac{x}{14}=\frac{33}{20}\\\\x=\frac{(33)(14)}{20}\\\\x=23.1[/tex]

Which of the following best represents the linear regression equation for the
×-values and log(y)-values of the data shown below?

Answers

By using Microsoft excel to plot the data on a scatter plot, the linear regression equation can best be represented by: A. y = 12.11.1.36^x

What is a regression line?

A regression line can be defined as a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.

By using Microsoft excel to plot the data on a scatter plot, we can logically deduce that linear regression equation for the x-values and log(y)-values is given by:

y = 12.11.0.30^x

Thus, it can best be represented by: y = 12.11.1.36^x

Read more on regression here: brainly.com/question/26059078

#SPJ1

The current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream, what is the speed of the boat in still water?​

Answers

The answer is x=21 the explanation is on the picture above I hope I helped

If the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.

What is speed?

Speed is the distance covered by an object in a certain time period. It is also known as velocity. The formula of speed is as follows:

Speed=Distance/ Time.

How to calculate speed?

We have been given that the speed of stream is 7miles per hour.

Let v be the speed of the boat, and t the time to travel

98=t*(7+v) (1)

49=t(v-7) (2)

(1)+(2) => 2tv=147

7t+(49+7t)=98

14t+49=98

14t=49

t=49/14

t=7/2

Put the value of t in equation 1 to get the value of v:

98=t(7+v)

98=7/2(7+v)

196/7=7+v

28=7+v

v=28-7

v=21

Hence if the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.

Learn more about speed at https://brainly.com/question/4931057

#SPJ2

The graph of the discrete probability to the right represents
the number of live births by a mother 40 to 44 years old
who had a live birth in 2015. Complete parts (a) through (d)
below.

0.30-
0.25-
0.20
0.15
0.10
0.05
0.00
0
0.235
1
0.270
2
0784
113 0101
-4426-0004 0.045
3
6
Number of Live Births
(a) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her fourth live birth in that year?
(Type an integer or a decimal)
(b) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year?
(Type an integer or a decimal.)
(c) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year?
(Type an integer or a decimal)
(d) If a 40-to 44-year-old mother who had a live birth in 2015 is randomly selected, how many live births would you expect the mother to have had?

Answers

The values of the probabilities are

The probabilities are 0.109, 0.202, 0.106The expected number of births is 3

How to determine the probabilities?

The image that completes the question is added as an attachment

The probability of having her fourth live birth in that year?

From the attached graph, we have:

P(x) = 0.109 when x = 4

Hence, the probability is 0.109

The probability of having a live birth in her fourth or fifth live birth in that year?

From the attached graph, we have:

P(x) = 0.109 when x = 4

P(x) = 0.093 when x = 5

So, we have:

P(4 or 5) = 0.109 + 0.093

Evaluate

P(4 or 5) = 0.202

Hence, the probability is 0.202

The probability of having a live birth in her sixth or more live birth in that year?

This is represented as:

P(x >= 6)

From the attached graph, we have:

P(x) = 0.022 when x = 6

P(x) = 0.036 when x = 7

P(x) = 0.048 when x = 8

So, we have:

P(x >= 6) = 0.022 + 0.036 + 0.048

Evaluate

P(x >= 6) = 0.106

Hence, the probability is 0.106

How many live births would you expect the mother to have had?

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

E(x) = 0.234 * 1 + 0.291 * 2 + 0.167 * 3 + 0.109 * 4 + 0.093 * 5 + 0.022 * 6 + 0.036 * 7 + 0.048 * 8

Evaluate

E(x) = 2.986

Approximate

E(x) = 3

Hence, the expected number of births is 3

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

Which of the following graphs includes the possible values for the number of people who still need to sign up for the team?

Number line with closed circle on 5 and shading to the left
Number line with closed circle on 5 and shading to the right.
Number line with open circle on 5 and shading to the left.
Number line with open circle on 5 and shading to the right.

Answers

The graph that includes the possible values for the number of people who still need to sign up for the team is:

Number line with closed circle on 5 and shading to the right.

What is the situation and which inequality models it?

Researching this problem on the internet, a team currently has 4 players, and needs at least 9.

When x players are signed, the number of players will be of 4 + x. Since the team needs at least 9 players, the inequality is:

[tex]4 + x \geq 9[/tex]

The solution is:

[tex]x \geq 9 - 4[/tex]

[tex]x \geq 5[/tex]

Which is represented as follows:

Number line with closed circle on 5 and shading to the right.

More can be learned about inequalities at https://brainly.com/question/25235995

#SPJ1

Q3 The grade-point averages of 20 college seniors selected at random from the graduating class are as follows:
3.2 1.9 2.7 2.4 2.8 2.9 3.8 3.0 2.5 3.3
1.8 2.5 3.7 2.8 2.0 3.2 2.3 2.1 2.5 1.9
a) Evaluate the Median of grade point
b) Calculate the highest marks of bottom 30% students
d) Calculate Q1 & Q3.

Answers

Answer:

Step-by-step explanation:

A) The median number is just the middle number so it should be 2.8

B) Bottom 30% are the six lowest amounts. The highest of the bottom six numbers is 2.3. Not sure what it means by calculating them. 1.8, 1.9, 1.9, 2.0, 2.1, and 2.3 are the lowest six. If you need to add them up the answer is 12.
C) I don’t know what your Q1 is.

To find the quotient of two fractions, you first need to rewrite the division problem as an equivalent multiplication problem. Find this quotient using multiplication.

Answers

Answer is 5/9
Step by step
Quotient is answer to division
We have 2/3 divided by 6/5
To divide fractions, we flip one of the fraction and multiply
So now we have 2/3 x 5/6. Multiply across and you get 10/18, simplify to 5/9.

If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can be made from the following set of digits, find the probability that the one chosen is not a multiple of 5.
(0, 1, 2, 3, 4,5)

Answers

Answer:

5/25

Step-by-step explanation:

Which of the following polynomials has an even degree and a negative leading coefficient?

Polynomial going down from the left and passing through the point negative 6 comma 0 and going to a local minimum and then going up through the point negative 2 comma 0 to a local maximum and then going down through the point 3 comma 0 to a local minimum and then going up to the right through the point 5 comma 0
Polynomial going up from the left and passing through the point negative 6 comma 0 and going to a local maximum and then going down through the point negative 1 comma 0 to a local minimum and then up through the point 2 comma 0 to a local maximum and then down to the right through the point 4 comma 0
Polynomial going up from the left and passing through the point negative 6 comma 0 and going to a local maximum and then going down through the point negative 2 comma 0 and 0 comma negative 6 to a local minimum and then up to the right through the point 5 comma 0
Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0

Answers

Using limits, the polynomial that has an even degree and a negative leading coefficient is:

Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.

What is a limit?

A limit is given by the value of function f(x) as x tends to a value.

In this problem, to find the polynomial, we have to find the limits as x goes to infinity, hence:

[tex]\lim_{x \rightarrow -\infty} f(x) = [tex]\lim_{x \rightarrow -\infty} -a x^n[/tex]

Since n is even, we have that:

[tex]\lim_{x \rightarrow -\infty} -a (-\infty)^n = -a \times \infty = -\infty[/tex][tex]\lim_{x \rightarrow \infty} -a (\infty)^n = -a \times \infty = -\infty[/tex]

Since it goes down to the left and down to the right, hence the function is:

Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.

More can be learned about limits at https://brainly.com/question/26270080

#SPJ1

Which function is graphed?

Answers

Answer: [tex]f(x)=\begin{cases} x^2 +4, x < 3 \\ -x+4, x \geq 3 \end{cases}[/tex]

Step-by-step explanation:

By inspection, we know the equation of the parabola is [tex]y=x^2 +4[/tex] and the equation of the line is [tex]y=-x+4[/tex].

Since there is an open hole at x=3 for the parabola and a closed hole at x=3 for the line, the function is

[tex]f(x)=\begin{cases} x^2 +4, x < 3 \\ -x+4, x \geq 3 \end{cases}[/tex]

the sum of two numbers is 55. the greater number is seventeen times the smaller number plus one. Find the numbers

Answers

Answer:

52 and 3

Step-by-step explanation:

17x+1 + 1x =55

18x+1=55

18x=54

x=3

(-5)*8 using commutative property of multiplication

Answers

Using the commutative property for (-5) * 8, we can say that;  (-5) * 8 = 8 * (-5)

What is Commutative Property of Algebra?

The commutative property of algebraic multiplication states that changing the order of factors does not change the product. For example:

4 × 3 = 3 × 4

Similarly, 5 * 6 = 6 * 5

Now, we want to use commutative property to use (-5) * 8. Thus, we can say that;  (-5) * 8 = 8 * (-5)

Read more about Commutative Property at; https://brainly.com/question/2475734

#SPJ1

Other Questions
The functions f(x) and g(x) are graphed.On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).Which represents where f(x) = g(x)?f(0) = g(0) and f(2) = g(2)f(2) = g(0) and f(0) = g(4)f(2) = g(0) and f(4) = g(2)f(2) = g(4) and f(1) = g(1) PLS HELP IM STUCK PLS When a patient has a condition that is both acute and chronic and there are separate entries for both, how is it reported Periodically, merrill lynch customers are asked to evaluate merrill lynch financial consultants and services. Higher ratings on the client satisfaction survey indicate better service with the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant a has years of experience, whereas consultant b has year of experience. Use and test to see whether the consultant with more experience has the higher population mean service rating. Round degrees of freedom to previous whole number. The science of astronomy was advanced greatly by space travel, allowing observations above the earth's atmosphere. argument or nonargument the statement write an essay on how I answered the call Which of these is a drawback of hydraulic fracturing?A. Higher risk of mine shaft collapseB. Higher risk of acid rain damageC. Higher risk of earthquakesD. Higher risk of oil spillsITS C. who is the Ugandan nominee to the International Criminal Court A crowbar with the length of 200 cm is used to lift the load of 600 Newton . If the distance between fulcrum and load is 0.75 . Calculate Effort , Mechanical advantage and Velocity ratio In what way does the strategic alliance between gm and lyft allow gm to hedge against uncertainty?. She said "i'm sorry i lost the book you gave me" she apologized ______________________ A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39). which are the equations of the directrices? x = y = x = y = Need help on these trig homework Ceteris paribus, what do you expect to happen to the equilibrium quantity of pollution prevented if the marginal benefit of pollution prevention decreases? Which clinical manifestations are appropriate when assessing a school-age child with attention-deficit/hyperactivity disorder (ADHD) - Inattentive type A mole is a name for a specific number of things. What is the value of a mole? write the number using scientific notation. By what other name is it known? (2 points) What do you call collections of stocks and bonds that are traded on securities exchanges but themselves are traded more like individual stocks than like mutual funds Which diet change would the nurse encourage a patient with mild benign prostatic hypertrophy (BPH) to implement Breathe slowly and deeply and listen. Give all your ideas a chance. Let the sun beat down on your goodness, And kick off your shoes and dance. Explanation of these lines. solve (6b^2+5)+(8b-20)