Graphing root functions
Really need help with the 4 questions

Graphing Root Functions Really Need Help With The 4 Questions

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Answer 1
What is the end of behavior

Related Questions

Select the equivalent expression.

Select the equivalent expression.

Answers

Answer:

its a

Step-by-step explanation:

a x 4 = a^4

b^3 x 4 = b^12

please help me find the y intercept

please help me find the y intercept

Answers

Answer:

-4

Step-by-step explanation:

'cause yan Ang answer

6. Approximately 80% of Virginia's sales tax is collected by the state and 20% is
collected by the local municipality. If you buy a couch in Virginia with a retail
price of $400, what amount of tax will be collected by the state?
the local municipality?
By

Answers

Answer:

0.80x400

Step-by-step explanation:

PLSS I NEED HELP.!!

PLSS I NEED HELP.!!

Answers

Answer: 30

Step-by-step explanation:

It to be 30 but this look hard so I’m not sure

f(4) =
If g(x) = 2, x =

Answers

Sososos

Step-by-step explanation:

find the z-value needed to calculate one-sided confidence bounds for the given confidence level. (round your answer to two decimal places.) a 81% confidence bound

Answers

To find the z-value needed to calculate one-sided confidence bounds for an 81% confidence level, we first need to determine the area under the normal distribution curve to the left of the confidence level. Since we are looking for one-sided confidence bound, we only need to consider the area to the left of the mean.

Using a standard normal distribution table or calculator, we can find that the area to the left of the mean for an 81% confidence level is 0.905.

Next, we need to find the corresponding z-value for this area. We can use the inverse normal distribution function to do this.

z = invNorm(0.905)

Using a calculator or a table, we can find that the z-value for an area of 0.905 is approximately 1.37.

Therefore, the z-value needed to calculate one-sided confidence bounds for an 81% confidence level is 1.37 (rounded to two decimal places).
The z-value needed to calculate a one-sided confidence bound with an 81% confidence level.

1. First, since it's one-sided confidence bound, we need to find the area under the standard normal curve that corresponds to 81% confidence. This means the area to the left of the z-value will be 0.81.

2. Now, to find the z-value, we can use a z-table or an online calculator that provides the z-value corresponding to the cumulative probability. In this case, the cumulative probability is 0.81.

3. Using a z-table or an online calculator, we find that the z-value corresponding to a cumulative probability of 0.81 is approximately 0.88.

So, the z-value needed to calculate a one-sided 81% confidence bound is 0.88, rounded to two decimal places.

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HELP ASAP Which equation matches the following situation: A shirt, x, is discounted 20%; what is the sale price?

y = 1.02x
y = (1 - 0.2)x
y = 1.2x
y = 0.02x

Answers

Answer:

D

Step-by-step explanation:

find the radius of convergence, r, and interval of convergence, i, of the series. [infinity] (x − 14)n n2 1 n = 0

Answers

The radius of convergence, r is 1 and interval of convergence, i, of the series. [infinity] (x − 14)n n2 1 n = 0 is [13, 15), including 13 but excluding 15.

To find the radius of convergence, we can use the ratio test:

lim |(x - 14)(n+1)^2 / n^2| = lim |(x - 14)(n+1)^2| / n^2

= lim (x - 14)(n+1)^2 / n^2

Since the limit of the ratio as n approaches infinity exists, we can apply L'Hopital's rule:

lim (x - 14)(n+1)^2 / n^2 = lim (x - 14)2(n+1) / 2n

= lim (x - 14)(n+1) / n

= |x - 14|

So the series converges if |x - 14| < 1, and diverges if |x - 14| > 1. Therefore, the radius of convergence is 1.

To find the interval of convergence, we need to check the endpoints x = 13 and x = 15.

When x = 13, the series becomes:

∑ [13 - 14]^n n^2 = ∑ (-1)^n n^2

This is an alternating series that satisfies the conditions of the alternating series test, so it converges.

When x = 15, the series becomes:

∑ [15 - 14]^n n^2 = ∑ n^2

This series diverges by the p-test.

Therefore, the interval of convergence is [13, 15), including 13 but excluding 15.

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20 points and brainliest if right!!

20 points and brainliest if right!!

Answers

Answer:

f

Step-by-step explanation:

It is a function if it was a relation ever single one would be connected

A DVD has a diameter of 18 centimeters. What is the area of the DVD? Round your answer to the nearest hundredth. Use 3.14 for π.

Answers

Answer:

. SAME THING YOU PUT FOR MY ANSWER IM GONNA DO THE SAME FOR YOU

Step-by-step explanation:

what is the HCF of 3000 and 525 answer with process​

Answers

Answer:

The HCF is 75

Step-by-step explanation:

Here, we want to get the highest common factors of the two numbers

To do this, we have to write the numbers as the product of their prime factors

We have;

3,000 = 2 * 2 * 2 * 3 * 5 * 5 * 5

525 = 3 * 5 * 5 * 7

now looking at this, we can see that in both numbers, we can have 3 * 5 * 5 taken out as it is common to both numbers

This represents the highest common factor of the two numbers

and that is 75

Find the greatest possible error for the measurement 53.9 feet.

Answers

The greatest possible error is 0.5 feet

Answer: 0.05

Step-by-step explanation:

To find the greatest possible error, find the very last digit, determine it's place value, then divide it by 2.

EXAMPLE:

53.9

53.9   (The last digit)

00.1   (The place value)

0.1/2 (Divide by 2)

=0.05

Your answer is 0.05

Hopefully this helps!

if the diameter of a circle is 16 in what is the area in terms of pi​

Answers

Step-by-step explanation:

According to the Question , diameter of circle is 16 inches. We need to find the area in terms of pi (π) . We know the area of circle as product of pi and square of radius . Therefore ,

\(\to\tt \orange{ Area = \pi r^2 } \\\\\tt \to Area = \pi (8 \ in.)^2 \\\\\tt\to \boxed{\orange{\tt Area = 64\pi in^2 }}\)

Answer:

\(64\pi\)

Step-by-step explanation:

diameter => D = 2r

r = D/2 = 16/2 = 8

area =

\(\pi \times r {}^{2} \)

=

\(64\pi\)

Three experts gave opinions on how long a task will take to finish. The estimates were 29, 10, and 12 days (in no particular order). What is PERT estimate - ROUNDED

Answers

Answer:

15

Step-by-step explanation:

PERT estimate is a measuring strategy that is based on a weighted average. It is used in measuring the uncertainty and risk via three estimates to determine an estimated likelihood for a project's cost or period of completion.

The formula is (O + 4M + P) ÷ 6

Where P is the most pessimistic = 29

M is the most likely = 12

O is the most optimistic = 10

Hence we have (10 + [4*12]+ 29) ÷ 6

= (10 + 48 + 29) ÷ 6

= 87÷6 = 14.5 ≈ 15

Rounded figure is equal to 15.

Hence the final answer to the question is 15

77.
Which of these statements is most useful to prove the
two triangles are congruent using the ASA postulate?
A. The sum of the interior measures of a triangle is 180°.
B. Every angle has exactly one bisector.
C. Angle B is congruent to angle D.
D. Segment AC is congruent to segment AC.

77.Which of these statements is most useful to prove thetwo triangles are congruent using the ASA postulate?A.

Answers

Angle B is congruent to angle D is the statement which is most useful to prove the two triangles are congruent using the ASA postulate

The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

The Angle B is congruent to Angle D allows us to establish one pair of congruent angles.

Additionally, we would need to know the congruence of another pair of angles and the congruence of the included side to fully apply the ASA postulate and prove the congruence of the two triangles.

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find the interval of one standard deviation from the mean for the given sample. round non-integer results to the nearest tenth. 61, 69, 69, 74, 85, 87, 97

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Ans .: Interval of one standard deviation from the mean = 63.5 to 90.5.

To find the interval of one standard deviation from the mean for this sample, we need to first calculate the mean and standard deviation.

The mean is found by adding up all the numbers in the sample and dividing by the total number of numbers:

(61 + 69 + 69 + 74 + 85 + 87 + 97) / 7 = 77

So the mean is 77.

To find the standard deviation, we need to calculate the variance first. The variance is found by subtracting each number in the sample from the mean, squaring the result, adding up all the squared results, and dividing by the total number of numbers:

((61-77)^2 + (69-77)^2 + (69-77)^2 + (74-77)^2 + (85-77)^2 + (87-77)^2 + (97-77)^2) / 7 = 183.43

So the variance is 183.43.

The standard deviation is the square root of the variance:

√183.43 ≈ 13.5

So the standard deviation is approximately 13.5.

To find the interval of one standard deviation from the mean, we need to subtract and add the standard deviation to the mean:

77 - 13.5 = 63.5

77 + 13.5 = 90.5

So the interval of one standard deviation from the mean for this sample is approximately 63.5 to 90.5.

We round the non-integer results to the nearest tenth, so the final answer is:

Interval of one standard deviation from the mean = 63.5 to 90.5.

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Use the matrix of transition probabilities P and initial state matrix X_0 to find the state matrices X_1, X_2, and X_3. P = [0.6 0.2 0.1 0.3 0.7 0.1 0.1 0.1 0.8], X_0 = [0.1 0.2 0.7] X_1 = [] X_2 = [] X_1 = []

Answers

To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X_0 = [0.1 0.2 0.7]

To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:

X_1 = P * X_0

To calculate X_2, we multiply P with X_1:

X_2 = P * X_1

Similarly, to calculate X_3, we multiply P with X_2:

X_3 = P * X_2

Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.

Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.

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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X₀ = [0.1

0.2

0.7]

To find X₁, we multiply P with X₀:

X₁ = P * X₀

To find X₂, we multiply P with X₁:

X₂ = P * X₁ = P * (P * X₀)

To find X₃, we multiply P with X₂:

X₃ = P * X₂ = P * (P * (P * X₀))

Performing the matrix multiplications, we get:

X₁ = [0.6 0.2 0.1] * [0.1

0.2

0.7] = [0.06 + 0.04 + 0.07

0.03 + 0.14 + 0.07

0.01 + 0.02 + 0.56]

X₁ = [0.17

0.24

0.59]

X₂ = [0.6 0.2 0.1] * [0.17

0.24

0.59] = [0.048 + 0.048 + 0.059

0.023 + 0.168 + 0.059

0.007 + 0.048 + 0.472]

X₂ = [0.155

0.25

0.527]

X₃ = [0.6 0.2 0.1] * [0.155

0.25

0.527] = [0.042 + 0.031 + 0.053

0.021 + 0.175 + 0.053

0.006 + 0.05 + 0.422]

X₃ = [0.126

0.249

0.478]

Therefore, the state matrices are:

X₁ = [0.17

0.24

0.59]

X₂ = [0.155

0.25

0.527]

X₃ = [0.126

0.249

0.478]

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If p=180−0.2D, calculate the optimal profit if the total cost is $30,500.

Answers

To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.



To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:

Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).

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Find the largest six digits number which is divisible by 120 exactly.​

Answers

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

What is the value of log5 125?
O 3
O 5
O 15
O 25

Answers

Answer:

I think C sorry if im worng <3

Answer:

=3

Step-by-step explanation:

log5 125= log5 5^3 (125=5^3)

=3 log5 5. (logx^y=ylogx)

=3x1=3. (Loga a=1)

=3

3.4.Sarah, Lilly and Paula make R1 200 profit from selling cakes. Determine how much profit each girl receives if they invested in the ratio 1:2:3. ​

Answers

Profit made by each girl Sarah, Lilly and Paula respectivly are R 200 , R 400 and R 600

What is Ratio and Proportion ?

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. Indicators of proportions include "::" and "=".

The amount of investment done by each girl Sarah, Lily and Paula respectivly is x, 2x and 3x

So, the profit will be

x + 2x + 3x = 1200

⇒6x  =1200

⇒ x = 200

Profit made by each girl respectivly are x = R 200 , 2x = R 400 and 3x = R 600.

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Karl drove 40 miles in 50 minutes. Teresa drove 35 miles in 42 minutes. Who had a higher average speed?

Answers

The person that has the higher average speed is Teresa.

How to calculate average speed?

The average speed is the total distance travelled by the object in a particular time interval.

Average speed measures the average rate of speed over the extent of a trip.

Therefore,

average speed = distance / time

Hence, Karl drove 40 miles in 50 minutes.

Therefore,

average speed of Karl = 40 / 50

average speed of Karl = 4 / 5 miles per minute

Teresa drove 35 miles in 42 minutes.

Therefore,

average speed of Teresa = 35 / 42

average speed of Teresa  = 5 / 6 miles per minutes

Therefore, Teresa had the higher average speed.

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n order to eliminate data redundancy and avoid update anomalies, find the 1nf, 2 nf, and 3nf of the following bookorder tables

Answers

Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.

Please provide the table structures and dependencies of the bookorder tables to determine their 1NF, 2NF, and 3NF.?

To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.

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Al released his balloon from the 10-yard line, and it landed at the 16-yard line. If the ball reached a height of 27 yards, what equation represents the path of his toss?​

Answers

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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CAN SOMEONE HELP ME PLEASEEEEE

CAN SOMEONE HELP ME PLEASEEEEE

Answers

Answer:

145°

Step-by-step explanation:

because opposite angles r equal

In 1-3 find the diagonal distance between the two points to the nearest tenth

1. point A is 2Y 1X point B is 9Y 9X
2. point A is 4Y -1X point B is -15Y 3X
3. point A is 7Y 1X point B is 5Y 9X

Answers

The Diagonal distance between point A and point B is approximately 8.2 units.

1. To find the diagonal distance between point A (2Y, 1X) and point B (9Y, 9X), we can use the distance formula:

distance = √((y2 - y1)^2 + (x2 - x1)^2)

distance = √((9 - 2)^2 + (9 - 1)^2)

distance = √(49 + 64)

distance = √113

distance ≈ 10.6

Therefore, the diagonal distance between point A and point B is approximately 10.6 units.

2. To find the diagonal distance between point A (4Y, -1X) and point B (-15Y, 3X), we can use the distance formula:

distance = √((y2 - y1)^2 + (x2 - x1)^2)

distance = √((-15 - 4)^2 + (3 - (-1))^2)

distance = √(361 + 16)

distance = √377

distance ≈ 19.4

Therefore, the diagonal distance between point A and point B is approximately 19.4 units.

3. To find the diagonal distance between point A (7Y, 1X) and point B (5Y, 9X), we can use the distance formula:

distance = √((y2 - y1)^2 + (x2 - x1)^2)

distance = √((5 - 7)^2 + (9 - 1)^2)

distance = √4 + 64

distance = √68

distance ≈ 8.2

Therefore, the diagonal distance between point A and point B is approximately 8.2 units.

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Pam is a hairdresser. Before her lunch break, she gave 2 haircuts and colored the hair of 1 client in 83 minutes. After lunch, she gave 1 haircut and colored the hair of 3 clients in 164 minutes. How long does it take for Pam to perform each type of service, assuming the amount of time doesn’t vary from client to client?

Answers

Answer: Let's assume that it takes Pam x minutes to give a haircut and y minutes to color hair.

From the information given, we can create two equations:

2x + y = 83 (Pam gave 2 haircuts and colored the hair of 1 client in 83 minutes)

1x + 3y = 164 (Pam gave 1 haircut and colored the hair of 3 clients in 164 minutes)

To solve for x and y, we can use elimination method or substitution method. Let's use substitution method.

From the first equation, we can solve for y in terms of x:

y = 83 - 2x

Substituting this into the second equation, we get:

1x + 3(83 - 2x) = 164

Simplifying and solving for x, we get:

x = 30

Substituting this value of x into either of the two equations, we can solve for y:

2(30) + y = 83

y = 23

Therefore, it takes Pam 30 minutes to give a haircut and 23 minutes to color hair.

Step-by-step explanation:

SOMEONE PLEASE HELP ILL GIVE BRAINLIST


Construct 5 equivalent equations for the equation -3x + 1 = 2. Describe which value you multiplied by for each equivalent equation. Show all of your work to prove your answers are correct.

Answers

Answer:

-6x+2=4

3(-3x+1)=6

-2(3x-1)=4

-3x=1

x=-1/3

Step-by-step explanation:

What is the number of the parking space covered by the car? This tricky math problem went viral a few years...
Question: Replace the question mark in the above problem with the appropriate number. This problem shouldn't be too...
Question: Find the equivalent number.
THIS IS A COVER UP BUT THESE POINTS ARE FOR MY OTHER PAGE BUT YOU GUYS CAN TAKE THEM IF I DONT GET TO THEM

Answers

Answer:

answer is 546

Step-by-step explanation:

after a second run of the study, it was determined that the sample proportion is actually slightly less than the original 72% originally reported. what impact will this have on the width of the confidence interval?

Answers

If the sample proportion is slightly less than the original 72%, the width of the confidence interval will likely increase. This is because a smaller sample proportion means a smaller sample size, which in turn leads to a wider confidence interval. Additionally, a smaller sample proportion also means a larger margin of error, which further contributes to a wider confidence interval. Overall, the decrease in sample proportion will likely result in a wider and less precise confidence interval.
Hi! I'd be happy to help with your question.

When the sample proportion changes from the original 72%, it will affect the width of the confidence interval. If the new sample proportion is slightly less than 72%, the impact on the confidence interval width can be determined as follows:

1. Calculate the standard error (SE) using the formula SE = sqrt(p(1-p)/n), where p is the sample proportion and n is the sample size. The standard error is used to measure the variability of the sample proportion.

2. Calculate the margin of error (ME) using the formula ME = Z*SE, where Z is the Z-score corresponding to the desired level of confidence (e.g., 1.96 for a 95% confidence interval). The margin of error represents the range within which the true population proportion is likely to fall.

3. Determine the confidence interval width by calculating the difference between the upper and lower limits of the interval: Width = Upper limit - Lower limit = (p + ME) - (p - ME) = 2*ME.

If the new sample proportion is slightly less than the original 72%, it could either increase or decrease the width of the confidence interval depending on the changes in the standard error and margin of error. However, without knowing the exact new proportion and the sample size, we cannot definitively determine the impact on the width of the confidence interval.

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How does wind energy get turned into electrical energy? Name 2-3 different designs of wind turbines and explain how they are different and how they are alike a ball rolling down a hill for 9 seconds accelerates from 3 m/s to 34.5m/s Study & Master teacher's guide book Oops, this is the shape for the previous question. Find the area The life spans of 10 adult mayflies have a mean of 4 hours and a MAD of 2 hours. Fill in the table below with possible values for the life spans. You can use the same values more than once. Can any one of the 10 mayflies in the group live for 1 full day? Justify your answer. where was the first exercise physiology laboratory in the united states established? What is the value of AB Are any of these funtions? 3x+y=-9 Y=5x+7 Solve the system of linear equations by substitution Oceanside Bike Rental Shop charges 13 dollars plus 6 dollars an hour for renting a bike. Jason paid 55 dollars to rent a bike. How many hours did he pay to have the bike checked out ? Your portfolio consists of 105 shares of CSH and 35 shares ofEJH, which you just bought at $19 and $31 per share, respectively. a. What fraction of your portfolio is invested in CSH? In EJH? b. If CSH increases to $22 and EJH decreases to $27, what is the return on your portfolio?Question content area bottomPart 1 a. What fraction of your portfolio is invested in CSH? In EJH?Part 2 The fraction invested in CSH is enter your response here%. (Round to one decimal place.)Part 3 The fraction invested in EJH is enter your response here%. (Round to one decimal place.)Part 4 b. If CSH increases to $22 and EJH decreases to $27, what is the return on your portfolio? The return on the portfolio is enter your response here%. (Round to one decimalplace.) The blue dot is at what value on the number line? help asap please 3. (8 pts.) Renewable energy consumption in the United States (as a percentage of total energy consumption) can be approximated by f(x) = 9.7 ln x 16.5 where x = 15 corresponds to the year 2015. Round 5TH GRADE LEVEL QUESTION: Look at photo and answer. handing out brainliest. for a rigid body to be in equilibrium, the sum of the forces must equal zero and the sum of the torques must equal zero. What is meant by concentration? How can you increase the concentration of salt (electrolytes) in a solution of water? How can you decrease the concentration of electrolytes in a solution? Which of the following could be used to support the argument that reading for twenty minutes every day improves your reading? Select the two correct answers.(1 point) Responses Teachers claim practicing math for 20 minutes every night also improves math skills. Teachers claim practicing math for 20 minutes every night also improves math skills. Children who read 5 or less minutes a day are more likely to score lower on reading tests. Children who read 5 or less minutes a day are more likely to score lower on reading tests. Children who are read to every night are happier. Children who are read to every night are happier. Going to the library once a week can help children fall in love with books. Going to the library once a week can help children fall in love with books. Reading for 20 minutes every day exposes students to nearly 1.8 million words each school year. Constellations Charts - use SC01 and SC02 star chartsWhat type of deep-sky object is near the ecliptic and the meridian on June 23 at noon PST?If Saturn is in opposition on January 1, what constellation would it occupy?What is the Right Ascension coordinate (to the nearest 5 minutes) of the brightest star in CORONA BOREALIS?What type of star is o-Cetus (omicron-Cetus)?PlanispheresWhat day does Vega rise at 11 PM PST? What time will it rise one month later?The constellation of ARIES is highest above the horizon at 2:20 AM PST in which month?What time does Regulus set on the day of the Summer Solstice?What time (PST) does the star Betelgeuse set on May 10? China will be driving almost half of this growing market (48%) in 2025, but more,importantly, with the increased use of batteries, what other service will see a global rise indemand? As a result of this, what else will be opened, creating jobs? plain why the statistic is misleading.Wilson was 42 inches tall on Jan 1, 2000, and 51 inches tall on Jan 1, 2002. William was 5 feet tall on Jan 1, 2000, and 6 feet tall on Jan 1, 2002.Conclusion: The difference between 42 and 51 is greater than the difference between 5 and 6, so Wilson grew more during one year.