Which of the following graphs represents the equation y- 4 =3(x-1)
A. Graph A.
B. Graph B
C. Graph
D. Graph D
please help

Which Of The Following Graphs Represents The Equation Y- 4 =3(x-1)A. Graph A.B. Graph BC. GraphD. Graph

Answers

Answer 1

Answer:D

Step-by-step explanation:y-4=3(x-1)

y-4=0 3(x-1)

y=-4 , 3x-3

y=-4=3x-3

3 3

y=-4, = x=1

y-x=1+4=5

Answer 2
The answer is graph D

Related Questions

the standard deviation of the data summarized in the given frequency distribution. 11) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency distribution below summarizes the results. Find the standard deviation. Round your answer to one decimal place. Waiting time (minutes) Number of customer 0-3 9 4-7 16 8-11 15 12-15 8 16-19 0 20-23 2 A) 4.8 min B) 7.0 min C

Answers

To find the standard deviation of the data summarized in the given frequency distribution, we can perform the following calculations. The table provides the necessary calculations for the standard deviation of the data summarized in the given frequency distribution:

Waiting time (minutes) Number of customer Midpoint (x) of Class Boundary of Class

f(x) 0-39 (0+3)/2=1.5 -0.5, 3.5+1.5 (9) (1.5) (9) = 13.5

4-7 16(4+7)/2=5.5 -3.5, 7.5+3.5 (16) (5.5) (16) = 88.0

8-11 15(8+11)/2=9.5 -7.5, 11.5+7.5 (15) (9.5) (15) = 213.75

12-15 8(12+15)/2=13.5 -11.5, 15.5+11.5 (8) (13.5) (8) = 91.875

16-20 2(16+20)/2=18 -16, 20+16 (2) (18) (2) = 92

Sum 60 (363.2)

Mean = Sum of (f(x)) / Sum of (f) = 363.2 / 60 = 6.0533

The variance, σ², can be calculated using the formula [Sum of (f(x²)) - {Sum of (f(x))² / Sum of (f)}] / (Sum of (f) - 1). Plugging in the values, we get:

σ² = [1103.2 - {363.2² / 60}] / (60 - 1) = 104.36

The standard deviation, σ, can be calculated using the formula √σ². Hence, the standard deviation of the data summarized in the given frequency distribution is approximately 10.2 minutes.

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Solve the equation. 1 2 = 11 2​

Answers

No solution because they don’t equal eachother

You have $90,000 for investment. You will invest S dollars in stocks and B dollars in bonds. You expect a 10% return on stocks and a 2% return on bonds. You want a total return of 5% on your investment.(a)The dollar amount of the total return is0.05 ✕ 90,000 = $4500.What is the dollar amount of return for stocks, and what is the dollar amount for bonds? (Suggestion: Your answers will involve the variables S and B.)

Answers

The dollar amount for the return on stocks is $3375 and the dollar amount for the return on bonds is $1125.

Two equations can be derived from the question:

s + b = $90,000 equation 1

0.1s + 0.02b = $4500 equation two

$4500 = 0.05  x $90,000

The above equation is a simultaneous equation and it would be solved using the elimination method.

The following steps would be take to determine the value of b

Multiply equation 1 by 0.1

0.1s + 0.1b = 9000 equation 3

Subtract equation 2 from 3

0.08b = $4500

b = $56,250

The following step would be taken to determine the value of s

Substitute for b in equation 1

s + $56,250 = $90,000

$90,000 - $56,250 = s

s = $33,750

Dollar amount for the return on stocks = $33,750 x 0.1 = $3375

Dollar amount for the return on bonds = $56,250 x 0,02 = $1125

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The measure of an angle is 1.6°. What is the measure of its complementary angle?

Answers

Step-by-step explanation:

From the image, let Angle 1 be x, and angle 2 be 16°

\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)

The measure of an angle is 1.6. What is the measure of its complementary angle?

3. for questions 3-5, complete the missing values in each table below using the graph

3. for questions 3-5, complete the missing values in each table below using the graph

Answers

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

What is a graph?

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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For the function f(x)=x+4, what is the order pair for the point on the graph when x=3p?

Answers

Answer: f ( x ) = x + 4

x = 3 p

f ( 3 p ) = 3 p + 4

Answer. D )

The ordered pair is:

( x, y ) =  ( 3 p, 3 p + 4 )

PLEASEEEE!!! GIVE ME A BRAINLY!!!!

During an experiment, the temperature of a substance increased at a constant rate of three
degrees Celsius ("C) per hour. Which graph represents this relationship?
Temperature (C)
Temperature (C)
03
23
SUBSTANCE
TEMPERATURE
2
Time (hours)
SUBSTANCE
TEMPERATURE
Time (hours)
Temperature (0)
Temperature (°C)
24
23
.......
SUBSTANCE
TEMPERATURE
1
2
Time (hours)
SUBSTANCE
TEMPERATURE
2
3
Time (hours)

Answers

A graph which represents this relationship between the temperature of a substance and time is: graph D.

What is a graph?

In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).

What is temperature?

In Science, temperature can be defined as a measure of either the degree of hotness or coldness of a physical body (object).

Since the temperature of a chemical substance increased at a constant rate of three degrees Celsius (3°C) per hour, a graph which represent the relationship that exist between the temperature of a substance and time is shown in the image attached below.

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During an experiment, the temperature of a substance increased at a constant rate of threedegrees Celsius

A company sells three types of gift baskets. The basic basket has two movie passes and one package of microwave popcorn, and costs $15.50. The medium basket has two movie passes, two packages of microwave popcorn, and one DVD, and costs $37. The super basket has four movie passes, three packages of microwave popcorn, and two DVDs, and costs $72.50.



Create a system of equations and solve using matrices to find the price of each basket item.

Answers

The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.

Let x represent the cost of each movie, y represent the cost each microwave and z represent the cost of each DVD.

For the basic:

2x + y = 15.50    (1)

For medium:

2x + 2y + z = 37    (2)

For super:

4x + 3y + 2z = 72.50  (3)

\(\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}15.5&37&72.5\end{array}\right] \\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] =\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right]^{-1}\left[\begin{array}{c}15.5&37&72.5\end{array}\right]\\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}7&1.5&20\end{array}\right] =\)

The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.

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answer the question below

answer the question below

Answers

Divide total cost by total cans:

c = 8.96 / 32

c = 0.28 per can

The ratio of boy to girl who play kickball at rece i 6 to 2. There are 18 girl on the team. What i the nu
mber of boy who play kickball at rece?

Answers

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Diego has 90 songs on his playlist. How many songs are there for each genre?

Answers

Answer: Diego's playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

Based on the number of songs Diego has and the proportion of the genres, Diego's song classification is:

Rock = 36 songsCountry = 9 songsHip Hop = 27 songsElectronica = 18 songs

The number of songs from a particular genre is:

\(= \text{Total number of songs}\times\text{Percentage of genre}\)

Rock:

\(= 40\% \times 90\)

\(\bold{= 36 \ songs}\)

Country:

\(= 10\% \times 90\)

\(\bold{= 9 \ songs}\)

Hip hop:

\(= 30\% \times 90\)

\(\bold{= 27 \ songs}\)

Electronica:

\(= (100\% - 40\% - 10\% - 30\%) \times 90\)

\(\bold{= 18 \ songs}\)

In conclusion, there are various genres on Diego's phone.

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Complete Question:

Diego has 90 songs on his playlist. How many songs are there for hip-hop?

40% rock

10% country

30% hip-hop

The rest is electronica

The sampling distribution of differences between means approximates a normal curve whose _____is zero.

Answers

The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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If a study introduces parallel forms of the same measurement instrument to the same person, the researcher is assessing_____
Multiple Choice
O item Interpretability
O item economy
O item equivalence
O item stability
O item convenience

Answers

The researcher is assessing item equivalence, If a study is in parallel forms of the measurement instrument to the same person. The correct option is C).

When a study introduces parallel forms, the researcher is assessing item equivalence. Item equivalence refers to the extent to which the different forms of the measurement instrument produce similar results for the same individual.

This assessment is crucial in research because it allows researchers to evaluate the consistency and reliability of the measurement instrument across different versions. By administering parallel forms to the same person, any differences in responses can be attributed to individual factors rather than variations in the instrument.

This helps ensure that the instrument is measuring the intended construct consistently and accurately. The correct option is C).

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Please show work, will give brainlist

Please show work, will give brainlist

Answers

Answer:

10x - 28

Step-by-step explanation:

The square root of anything raised to the second power is itself.

g(f(x)) = 5(sq rt 2x - 5)^2 - 3      

          = 5(2x - 5) - 3

           = 10x - 25 - 3

           = 10x - 28

Maria drove from Los Angeles (elevation 330ft) to Death Valley (elevation-282ft.What is the difference in elevation between Los Angeles and Death Valley?

Answers

The difference in the elevation between Los Angeles and Death Valley is 48 feet.

Given that,

Maria drove from Los Angeles to Death Valley.

Elevation of Los Angeles = 330 feet

Elevation of Death Valley = 282 feet

We have to find the difference in elevation between Los Angeles to Death Valley.

Difference in elevation between Los Angeles to Death Valley is,

Difference = 330 feet - 282 feet

                  = 48 feet

Hence the difference is 48 feet.

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What is the number 0 gonna be?

What is the number 0 gonna be?

Answers

12                     Step-by-step explanation:cause 6x2 = 12

Answer: change the number 0 to 2.   the correct answer is 792 and 780.

Step-by-step explanation:

Q1. Interpreting Direct Proportion

In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the Following:
(2, 9) (5, 22.5) (12, ?) (?, 90) (?, ?)

What is the constant of proportionality k when y=kx: ?

Answers

3 is the correct answer no cap

Question 5
This dot plot shows the number of cakes sold each day in Aunt
Alice's Cake Shop last month.
What is the median number of cakes sold each day?
Aunt Alice's Cake Shop
000
0 1 2
3
4
5
6
7
8
9
Cakes Sold (each day)
?

Question 5This dot plot shows the number of cakes sold each day in AuntAlice's Cake Shop last month.What

Answers

Answer:

9

Step-by-step explanation:

The range of a data set is the difference between the highest and lowest values.

The highest value is 9 and the lowest is 0; this makes the range

9-0 = 9.

Answer:

It's 2 because look at 1 it's the highest and 2 is the second highest which is closer to 1. So it's 2.

Refer to the coordinate grid. find point q on line rs that is 5/8 of the distance from r to s

Answers

Point Q on line RS, which is 5/8 of the distance from R to S, is (4.75, 4.5).

To find point Q on line RS that is 5/8 of the distance from R to S, we can use the concept of dividing a line segment into a given ratio.

Here's how we can find point Q:

1. Identify the coordinates of points R and S on the coordinate grid. Let's say the coordinates of point R are (x1, y1) and the coordinates of point S are (x2, y2).

2. Calculate the distance between points R and S using the distance formula:
  Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

3. Multiply the distance between R and S by 5/8 to find 5/8 of the distance.
  Distance_QR = (5/8) * Distance

4. Determine the coordinates of point Q by moving 5/8 of the distance from R to S along the line segment.
  To do this, we can use the following formulas:
  xQ = x1 + ((x2 - x1) * 5/8)
  yQ = y1 + ((y2 - y1) * 5/8)

5. Substitute the values of x1, y1, x2, y2, and Distance into the formulas from step 4 to calculate the coordinates of point Q.

For example, let's say the coordinates of point R are (1, 2) and the coordinates of point S are (7, 6). Here's how we can find point Q:

1. R = (1, 2) and S = (7, 6).

2. Distance = sqrt((7 - 1)^2 + (6 - 2)^2) = sqrt(36 + 16) = sqrt(52).

3. Distance_QR = (5/8) * sqrt(52).

4. xQ = 1 + ((7 - 1) * 5/8) = 1 + (6 * 5/8) = 1 + (30/8) = 1 + 15/4 = 1 + 3.75 = 4.75.
  yQ = 2 + ((6 - 2) * 5/8) = 2 + (4 * 5/8) = 2 + (20/8) = 2 + 2.5 = 4.5.

Therefore, point Q on line RS, which is 5/8 of the distance from R to S, is (4.75, 4.5).



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4 km 20) Determine the distance across the lake? 6 km Lake 6​

4 km 20) Determine the distance across the lake? 6 km Lake 6

Answers

hope this helps you

4 km 20) Determine the distance across the lake? 6 km Lake 6


4. Justin is training for his black belt in Tae Kwon Do, and needs to be able to
complete 100 pushups on his test. He has set up a practice schedule to
build up his strength. When he begins he is able to complete 30 pushups, but
intends to train daily and increase his pushups by 3 each week. How many
full weeks will Justin need to train in order to be ready for his black belt test?
(Only an algebraic solution will receive full credit)

Answers

Answer:

24 full weeks needed

Step-by-step explanation:

30 + 3x = 100

3x = 70

x = 23.333

24 weeks needed

To begin answering our original question, test the claim that the proportion of children from the low income group that drew the nickel too large is greater than the proportion of the high income group that drew the nickel too large. Test at the 0.1 significance level.
Recall 24 of 40 children in the low income group drew the nickel too large, and 13 of 35 did in the high income group.
a) If we use LL to denote the low income group and HH to denote the high income group, identify the correct alternative hypothesis.
H1:pL>pHH1:pL>pH
H1:pL H1:μL<μHH1:μL<μH
H1:pL≠pHH1:pL≠pH
H1:μL≠μHH1:μL≠μH
H1:μL>μHH1:μL>μH

Answers

The correct alternative hypothesis is H1: pL> pH.

We test whether the proportion of children in the low-income group who drew the nickel too large is greater than the proportion of children in the high-income group who drew the nickel too large.

Proportion of children in the low-income group (denoted pL) who also drew a nickel. large is greater than the proportion of the high-income group (indicated by pH) that attracted nickel too large, we test at the 0.1 significance level.

a) First, we need to identify the correct alternative hypothesis. The alternative hypothesis in this case should be:

H1: PL > pH

This hypothesis states that the proportion of children in the low-income group who drew oversized nickels would be greater than the proportion of children in the high-incomegroup who drew oversized nickels.

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Hi. Please help I have to pass this I don’t mind marking you brainlest

Hi. Please help I have to pass this I dont mind marking you brainlest

Answers

286.26 I’m pretty sure

what is the answer of 3x-5>1/2x+8x?

Answers

Answer:

x < -10/11

Step-by-step explanation:

Isaiah is working yo buy a new bicycle. He is wanting a HARO bike because he has dreams of being on the x-games. The bike he has his eye on is $719.99. He has saved his money up and already has $125 to go towards his bike. He is going to mow grass to make his money. He has decided he is going to charge $25 per yard. a.) Write an equation that mimics the given situation b.) How many yards will Isaiah have to mow in order to buy the bike? ​

Answers

Stage One: Autolysis

The first stage of human decomposition is called autolysis, or self-digestion, and begins immediately after death. As soon as blood circulation and respiration stop, the body has no way of getting oxygen or removing wastes. Excess carbon dioxide causes an acidic environment, causing membranes in cells to rupture. The membranes release enzymes that begin eating the cells from the inside out.

Rigor mortis causes muscle stiffening. Small blisters filled with nutrient-rich fluid begin appearing on internal organs and the skin’s surface. The body will appear to have a sheen due to ruptured blisters, and the skin’s top layer will begin to loosen.

Stage Two: Bloat

Leaked enzymes from the first stage begin producing many gases. The sulfur-containing compounds that the bacteria release also cause skin discoloration. Due to the gases, the human body can double in size. In addition, insect activity can be present.

The microorganisms and bacteria produce extremely unpleasant odors called putrefaction. These odors often alert others that a person has died, and can linger long after a body has been removed.

Stage Three: Active Decay

Fluids released through orifices indicate the beginning of active decay. Organs, muscles, and skin become liquefied. When all of the body’s soft tissue decomposes, hair, bones, cartilage, and other byproducts of decay remain. The cadaver loses the most mass during this stage.

Stage Four: Skeletonization

Because the skeleton has a decomposition rate based on the loss of organic (collagen) and inorganic components, there is no set timeframe when skeletonization occurs.

dora is traveling to visit diego at an average speed of mi/h. dora realizes that if she drives at an average speed of mi/h, her travel time will be reduced by minutes. how many miles per hour would dora's travel need to average for her travel time to increase by minutes?

Answers

Dora's travel need to average for 50 miles per hour for her travel time to increase by 6 minutes.

Dora is traveling to visit diego at an average speed 60 of mi/h.

∴ Distance = Speed x Time

d = 60 x t   (i)

If dora travels with an average speed of 75 mi/h then, her travel time reduce by 6 mins the,

d = 75 x (t-6)   (ii)

By solving equations we get,

60 x t = 75 x (t-6)

60t = 75t - 450

15t = 450

t = 30.

In order to increase the travel time by 6 minutes ,

d = s x (t + 6)

60t = s (t + 6)

60x30 = s (36)

s = 50 mi/hr.

So Dora will travel at 50 mi/h for her to increase the time of her journey by 6 minutes.

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Two sides of a parallelogram are 530 feet and 120 feet. The measure of the angle between these sides is 138°. Find the area of the parallelogram to the nearest square foot.

Two sides of a parallelogram are 530 feet and 120 feet. The measure of the angle between these sides

Answers

Answer:

42,557 ft²

Step-by-step explanation:

Area of the parallelogram = 2×(Area of ∆)

Area of parallelogram = 2×(½×a×b×sin(θ))

Where,

a = 120 ft

b = 530 ft

θ = 138°

Plug in the values into the formula

Area of parallelogram = 2×(½×120×530×sin(138))

= 120×530×sin(138)

= 42,557 ft² (nearest square foot)

Two sides of a parallelogram are 530 feet and 120 feet. The measure of the angle between these sides

Sylvia has a piece of material that is 668.36 square.she mark the material into 4 equal and then cut out one of the pieces.how much of the material remains? Round the answer to the nearest hundredth .

Answers

The total area of the material is 668.36 square units. After cutting out one of the four pieces, the remaining material will have an area of 3/4 of the original area.

668.36 * 3/4 = 501.27

So, 501.27 square units of material remains.

Aiden has a smart phone data plan that costs $25 per month that includes 2 GB of data, but will charge an extra $10 per GB over the included amount. How much would Aiden have to pay in a month where he used 2 GB over the limit? How much would Aiden have to pay in a month where he used went over by xx GB?

Total cost when over by 2 GB:
Total cost when over by xx GB:
need answer quick

Answers

Answer:

45 dollars for going over 2GB

Step-by-step explanation:

If he pays 25 dollars every month and he goes over 2 GB then he’ll have to pay 20 dollars extra since every GB over cost 10 dollars. The equation is 25+10+10 which equals 45.

An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division. 

The amount when 2 GB is used over the limit in a month is $45.

What is an expression?

An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division. 

Example: 2x + 3x2  is an expression.

We have,

Cost of data plan with 2 GB = $25

Cost of one GB = $10

The equation that can be used to find the amount to pay when using x GB over the limit in a month:

= 25 + 10x

The amount when 2 GB is used over the limit in a month:

= 25 + 10 x 2

= 25 + 20

= $45

Thus,

The amount when 2 GB is used over the limit in a month is $45.

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what is the radius of the circle in the xy-plane that has the center at 1, 5 and contains the point 4, 9 ?

Answers

The radius of the circle is 5 units.

To find the radius of the circle in the xy-plane with a center at (1, 5) and containing the point (4, 9), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, we have the center at (1, 5) and the point on the circle at (4, 9). Plugging these values into the distance formula, we get:

d = √((4 - 1)^2 + (9 - 5)^2)

= √(3^2 + 4^2)

= √(9 + 16)

= √25

= 5

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In ______ analysis, management evaluates the firm's various products and businesses, and then allocates resources according to the organization's best growth opportunities. a. operations growth b. options c. portfoliod. contingency . . . . . . . . . . . Which of the following is an example of chemical being converted into mechanical energy in the biosphere 1.the weathering of earths surface breaks down rock to make soil 2.animals convert the food they eat to muscle movement of muscles 3.plans store energy collected form sunlight in sugar they produce4 .lighting strikes Dry vegetation in an open field and cause fire what is the relationship between the speed of the magnet falling in a loop and the distance traveled per conservation of energy how do you know 2x^4 + 5x is in standard form PLEASE HELP!! You and your 8 friends decide to draw straws for a prize. There are 8 long straws and 1 short straw. Describe how the theoretical probability of drawing the short straw changes as each friend picks a straw. Covid-19s effect on venue policies and consumer behavior has waned, and nfl attendance figures show it. How much has per-game attendance increased year-over-year?. the sec approved rule 415. which of the following statements is not true about this rule? multiple choice question. the securities are on the shelf ready to be issued. securities can be sold in small amounts, but will have substantial flotation costs. rule 415 was introduced in 1982 securities can be sold on short notice,with little additional paperwork. Which of these does mRNA do in eukaryotic cells but not prokaryotic cells?A. duplicate itselfB. cross a membraneC. coil into a compact crystal formD. break off some of its phosphates to release energy Jimmy has 9 apples and Johnny ate 2.How many apples doesn Johnny have? DIFFICULT QUESTION A psychologist wants to create two groups that are as similar as possible at the beginning of an experiment. The total number of participants is only 40. To do this, he or she should use Video: Small Rockets Are the Next Space Revolution. PLEASE HELP ME ASAP!!!!1. What are the three things that you must do if you want to democratize space? Briefly explain each of these things.2. How often can this private company launch a rocket in New Zealand? Why could it be difficult to launch this often?3. How does this company manufacture its rocket engines? How fast can they make these?4. What causes the most space junk? How does the Electron rocket help fix this problem? Find the volume of the figure. Use the formula for the area of a circle (A-ar) to find the area of the bull's-eye.1220100 mm 12 mm180 mmA. 101,736 mm2B. 452.39 mm2C. 22,686 mm2D. 31,400 mm13 The environmental and climatic changes wrought by the diversion of water from the syr darya and amu darya rivers are reflected in which phenomenon? 3. Which best describes parallel lines?a) two lines that originate from thesame pointb) two lines that intersect at multiplepointsc) two lines that curve to form a circled) two lines that are always equidistant Question 21 (1 point)(07.07 MC)What was the primary goal of NATO? (1 point)Provide jobs and training in the post-WWII erao bCreate a military alliance with members of the Warsaw PactPrevent the spread of communism in Eastern EuropeOdProvide mutual defense among member nations if attacked How far apart are the foci of an ellipse with a major axis of 26 ft and a minor axis of 10 ft ? You are given the following feasible LP problem:max c^t xsubject to:Ax = 0Let x* be a vector in the feasible region and let y* be a vector in the feasible region of the dual LP. Then (check all true statements)A) c^t x* = 0C) The primal LP is bounded.D) The dual LP maximizes the linear function by b^ty what is jewish christianity? group of answer choices groups of jews who accepted jesus as the messiah and became christians. groups of jews who didn't accepted jesus as the messiah but remained jews. groups of christians who accepted jesus as the messiah and remained christians. groups of jews who accepted jesus as the messiah and remained jews.