Write the definition of an absolute number.

Please write a good thought out answer !!
NO LINKSSSSSS.

Answers

Answer 1

Answer:

An absolute number is a number that is represents a distance from 0. An absolute number is always positive since the distance between two number is always positive.

Step-by-step explanation:


Related Questions

4. Leroy creates customized engraved

birthday cards for his schoolmates.

He charges them $0.75 per card, plus a

dollar for each engraved letter in

the recipient's name. The equation

C=0.75 + l describes the cost of a card

in dollars, c, that has a certain number of

letters in the name, l.

Number of Letters

in Name

Cost of Card

(dollars)

3.75

5.75

6.75

8.75

If you have $10.75 to spend on a card,

how many letters can be in the recipient's

name?

Answers

Answer:

10

Step-by-step explanation:

C = 0.75 + L

For L = 3 ; Cost, C = 3.75

3.75 = 0.75 + 3L

3.75 - 0.75 = 3L

3 = 3L

L = 3/3

L = $1

C = 0.75 + 1L

If amount spent is $10.75; C = 10.75

10.75 = 0.75 + L

10.75 - 0.75 = L

10 = L

Number of letters = 10

Describe how the graph of the parent function
y=
is transformed when graphing y = 8x - 3
The graph is translated 3 units​

Describe how the graph of the parent functiony=is transformed when graphing y = 8x - 3The graph is translated

Answers

Answer:

Down

Stretched by a factor of 2

Step-by-step explanation:

The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.

What is transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given is a function, y = \(\sqrt[3]{x}\) being transformed into y = \(\sqrt[3]{8x} -3\)

We see, that, in the function, 3 is being subtracted from x, we mean the translation is right along the x-axis

And, ∛x is converted into 2∛x, that shows a stretched in the graph,

Hence, The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.

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help me please !!! correct answer gets brainliest

help me please !!! correct answer gets brainliest

Answers

Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.

0.3 is less than 30.

Step-by-step explanation:

formula of interior and exteiror angle and how much interior + exterior equals to

Answers

Answer:

The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.Properties of exterior angles.  The sum of exterior angle and interior angle is equal to 180 degrees.

Step-by-step explanation:

I asked Siri...

The ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39 cm, what is the radius of the
small circle?
19.5 cm
26 cm
58.5 cm
117 cm

Answers

Answer:

Option B: 26cm is the radius of smaller circle.

Step-by-step explanation:

Given that:

Ratio of circumferences of two circles = 2:3

We know that circumference of circle is given by 2πr.

Radius of larger circle = \(r_{2}\) = 39 cm

Radius of smaller circle = \(r_{1}\)

Now,

\(\frac{2\pi r_1}{2\pi r_2}=\frac{2}{3}\\\frac{r_1}{r_2}=\frac{2}{3}\)

Putting radius of larger circle

\(\frac{r_1}{39}=\frac{2}{3}\\\\r_1=\frac{2}{3}*39\\\\r_1=26\)

Therefore,

The radius of smaller circle is 26cm.

Hence,

Option B: 26cm is the radius of smaller circle.

the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false

Answers

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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What is the measure if Angle JKL?

Answers

The measure of the angle JKL as per the attached diagram is equal to 97 degrees.

As per in the question,

Diagram is attached.

Angle JKL is linear pair angle with given angle of measure 83 degrees.

Sum of the pair of linear pair is always equal to 180 degrees.

Let 'x' be the measure of angle JKL, we get,

83° + m ∠JKL = 180°

Subtract 83° from both the side of the equation we get,

⇒ 83° - 83° + m ∠JKL = 180° - 83°

⇒ m ∠JKL = 97°

Therefore, the measure of the angle JKL as per the attached diagram is equal to 97 degrees.

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What is the measure if Angle JKL?

if x/ 3=3/x then what is the value of x
1.-3
2.3
3.+-3​

Answers

Answer:

x = ±3 (Option 3)

Step-by-step explanation:

\(\frac{x}{3} = \frac{3}{x}\)

Multiply both the sides with 3.

\(=> \frac{x}{3} \times 3 = \frac{3}{x} \times 3\)

\(=> x = \frac{9}{x}\)

Multiply both the sides with 'x'.

\(=> x \times x = \frac{9}{x} \times x\)

\(=> x^2 = 9\)

Root-square both the sides.

\(=> \sqrt{x^2} = \sqrt{9}\)

\(=> x = (+3) \: or \: (-3)\)

∴ x = ±3

A professor has 125 students in her classes at the beginning of the semester, but 16 students withdraw from her classes before Test #3. If she has 1 classes in total and each class has an equal number of students, how many students are in each class? Round your answer to the nearest ones (i.e., one student).

Answers

Answer:

Students in her classes At the beginning of the semester, but 13 students withdraw from her classes before Test three. So now she has 150 students. If she has one classes in total, in each class has an equal number of students. How many students are in each class round your answer to the nearest ones? Well, first of all, if she only has one class, then there's 150 students in that class is or class, this is the middle school math teacher signing out.

lazyuser30

a project using pert for time estimation, has an expected completion time of 63 days and standard deviation of 5. what is the probability of finishing the project in 63 days?

Answers

The probability of finishing the project in 63 days is relatively high at 72.57%. The standard deviation is also useful in determining the range of completion times and the likelihood of delays or early completion.

To answer the question, we can use the PERT formula which takes into account the optimistic time (O), pessimistic time (P), and most likely time (M) for completion. The formula is as follows: expected completion time = (O + 4M + P)/6.

Given that the expected completion time is 63 days, we can calculate the most likely time (M) using the formula:\(M = (O + 4M + P)/6 - (standard\:deviation)^{2/6}.\)

Substituting the values, we get M = 60 days.

Now, to find the probability of finishing the project in 63 days, we need to calculate the Z-score using the formula Z = (X - μ)/σ where X is the completion time we are interested in, μ is the expected completion time and σ is the standard deviation.

Substituting the values, we get Z = (63 - 60)/5 = 0.6. We can use a Z-table or calculator to find the probability that corresponds to this Z-score. The probability of finishing the project in 63 days is 0.7257 or 72.57%.

In conclusion, using the PERT formula and Z-score calculation, we can estimate the probability of finishing a project within a specific time frame. In this case, the probability of finishing the project in 63 days is relatively high at 72.57%.

The standard deviation is also useful in determining the range of completion times and the likelihood of delays or early completion.

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to use logistic regression with a categorical dependent variable, at least one independent variable must be measured at the ______ level

Answers

To use logistic regression with a categorical dependent variable, at least one independent variable must be measured at the nominal or ordinal level.

Logistic regression is a statistical model used to predict categorical outcomes, typically binary outcomes (e.g., yes/no, success/failure). The dependent variable in logistic regression is categorical, representing different categories or classes. To predict this categorical outcome, independent variables (also known as predictors or features) are used. These independent variables can be of various types, such as continuous, ordinal, or nominal.

However, to properly apply logistic regression, it is necessary to have at least one independent variable that is measured at the nominal or ordinal level. This is because logistic regression models are designed to handle categorical data, and having such variables allows for the estimation of probabilities and the prediction of class membership based on the given independent variables.

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8Is there enough information to determine whether ADEF has been dilated to ADUV from point R? If so, what is thescale factor? (G.SRT.A.2)E

8Is there enough information to determine whether ADEF has been dilated to ADUV from point R? If so,

Answers

Yes, there is enough information to determine that ΔDEF has been dilated to ΔDUV because the ratio of the corresponding sides is equal, and all the dimensions required to determine the scale factor are present.

To calculate the scale factor, find the ratio of any corresponding sides

That is,

\(\begin{gathered} If\text{ }\Delta DEF\text{ \textasciitilde}\Delta\text{DUV} \\ \text{Then,} \\ \frac{DE}{DU}=\frac{EF}{UV}=\frac{DF}{DV} \\ \frac{(77+14)}{14}=\frac{117}{18}=\frac{52}{(52-44)} \\ \frac{91}{14}=\frac{117}{18}=\frac{52}{8} \\ =\frac{13}{2} \end{gathered}\)

Therefore, the scale factor is 13/2

Answer is Option E.

Please help me!
A
B
C
D

Please help me! ABCD

Answers

The value of x = 11√3 and y = 22

What is Trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems involving angles and distances in various fields such as physics, engineering, and architecture.

We will use Trigonometric Ratios to calculate the value of x and y

tan 30 = 11/x

1/√3 = 11/x

x = 11√3

sin 30 = 11/y

1/2 = 11/y

y = 22

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why are brackets used s multiplication signs

Answers

Brackets are used for multiplication to expand and simplify an expression.

We must multiply out the brackets in order to extend and simplify an expression. The resulting phrase is then made simpler by grouping like terms together. Our method for removing brackets is known as expanding brackets or multiplying them out. Factorization is being done in reverse.

In some non-standard or informal contexts, such as with some programming languages or computer systems, brackets are employed as multiplication signs. When accessing items of an array or list in various programming languages, square brackets may also be used to denote multiplication in specific circumstances. As an example, the formula 2(3) instructs you to multiply 2 by 3 to generate the number 6.

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A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table.

Total Shoreline (miles) 22 17 10 23 12 35 7
Maximum Depth (feet) 101 85 59 113 64 158 33

She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit:

y = 4.26x + 10.908.

Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline?

Answers

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

How to interpret a Line of best fit?

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

determine the probability of drawing either a king or a heart? write your answer as a reduced fraction.

Answers

Determine the probability of drawing either a king or a heart? write your answer as a reduced fraction.

There are four kings and thirteen hearts (including the king of hearts) in a regular 52-card deck of playing cards. To avoid counting it twice, we must deduct the king of hearts from the total number of hearts.

There are 4 + 12 = 16 cards, all of which are kings or hearts.

By dividing the number of cards in the deck that are either kings or hearts by the total number of cards in the deck, one may determine the likelihood of drawing one of these cards:

P=16/52 (king or heart)

By reducing the numerator and denominator by their largest common factor, which is 4, this fraction can be made smaller:

P = 4/13 (king or heart)

Therefore, there is a 4/13 chance of drawing either a king or a heart.

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a) Suppose we were not sure if the distribution of a population was normal. In which of the following circumstances would we NOT be safe using a t procedure?
A. A histogram of the data shows moderate skewness.
B. The mean and median of the data are nearly equal.
C. A stemplot of the data has a large outlier.
D. The sample standard deviation is large.

Answers

The t procedure should not be used when there is a large outlier in the data or when the distribution shows moderate skewness. In these circumstances, the t procedure may not provide accurate results.

The t procedure assumes that the data is normally distributed. However, it can still be used under certain deviations from normality. The t procedure is robust to small departures from normality, so in the case of moderate skewness (option A), it can still provide reasonably accurate results. Skewness refers to the asymmetry of the distribution, and if it is only moderately skewed, the t procedure can be used.

However, there are situations where the t procedure should not be used. One such circumstance is when there is a large outlier in the data (option C). An outlier is an extreme value that differs significantly from the other observations. Large outliers can have a significant impact on the results of the t procedure, as it is sensitive to extreme values. In such cases, using the t procedure may lead to biased estimates or incorrect inferences.

Additionally, the sample standard deviation being large (option D) does not necessarily make the t procedure inappropriate. The t procedure is designed to handle variability in the data, including cases with larger standard deviations. As long as the other assumptions of the t procedure, such as normality and independence, are met, it can still be used effectively.

In summary, the t procedure should not be used when there is a large outlier in the data or when the distribution shows significant skewness. These situations can undermine the assumptions of the t procedure and may lead to inaccurate results.

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m2 + 5m + 6 = 0
solve equation by factoring

Answers

the answer is m=-6/7

A 66-inch candle burns down in 12 hours. After how many hours will it have burned 5 3/4 ​ inches?

Answers

Answer:

9.5 hours

Step-by-step explanation:

The senate has 100 members, consisting of 55 republicans and 45 democrats. In how many ways can I choose a 5-person committee consisting of 3 republicans and 2 democrats?

Answers

There are 231,178,650 ways to choose a 5-person committee consisting of 3 republicans and 2 democrats from the given group.

To calculate the number of ways to choose a 5-person committee consisting of 3 republicans and 2 democrats from a group of 55 republicans and 45 democrats, we can use the concept of combinations.

The number of ways to choose 3 republicans from a group of 55 can be calculated using the combination formula:

C(55, 3) = 55! / (3! * (55 - 3)!)

Similarly, the number of ways to choose 2 democrats from a group of 45 can be calculated using the combination formula:

C(45, 2) = 45! / (2! * (45 - 2)!)

To find the total number of ways to form the committee, we multiply these two combinations together:

Total number of ways = C(55, 3) * C(45, 2)

Calculating these values, we have:

C(55, 3) = 55! / (3! * (55 - 3)!) = 55! / (3! * 52!) = 234,135

C(45, 2) = 45! / (2! * (45 - 2)!) = 45! / (2! * 43!) = 990

Total number of ways = C(55, 3) * C(45, 2) = 234,135 * 990 = 231,178,650

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TRUE OR FALSE? An increase in sales represents a positive integer.

Answers

The statement "An increase in sales represents a positive integer" is; True

What is a positive Integer?

Positive integers are actually part of a larger group of numbers called integers. Integers are all the whole numbers, both positive and negative

Now, when there is an increase in sales, we can term this as a positive sign. However, it should be noted that increase in sales cannot be fraction or decimal and as such must be a whole number. Thus, an increase in sales is termed as a Positive Integer.

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Dominique is building a flower box for her yard. The outline of the box is shown in the diagram. If she wants to cover the box with
burlap to protect it, how much burlap does she need to buy?
Highlight
00:03:11
Hide Tools
A)
6 sq. feet
B)
8 sq feet
C)
10 sq. feet
D)
12 sq. feet

Answers

Answer:

I promise it's C.) 10 sq. feet. It is not B.)

Answer:

Its C, I took the USA step prep

Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.​

Answers

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

math 1 work it out please w-2+2w=6 + 5w

Answers

Answer:

w = -4

Step-by-step explanation:

w - 2 + 2w = 6 + 5w

Add 2 to both sides.

w + 2w = 8 + 5w

Subtract w from each side.

2w = 8 + 4w

Subtract 4w from each side.

-2w = 8

Divide.

w = -4

Help me complete this table please

Help me complete this table please

Answers

Answer:

x        -6         3        15       -12

y        11         5         -3        15

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

\(y = -\frac{2}{3}x +7\)

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

RIGHT ANSWER GETS 15 POINTS


In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.

A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x.

Write and solve an equation to determine the measure of angle x. (5 points)

Your answer:

Answers

Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.

What is the vertical angles theorem?

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;

60° + 70° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.

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Find the angle between the vectors <6, 3> and <-5, -3> to the nearest tenth of a degree.

a) 77.8

b) 175.6

c) 87.8

d) 185.6

e) 126.5

Answers

this is your explanation and answer.

Find the angle between the vectors &lt;6, 3&gt; and &lt;-5, -3&gt; to the nearest tenth of a degree.a)

The perimeter of the polygon shown in the figure is _______. Question 9 options: 204 units 2√34 +6 units 15 units 30 units

The perimeter of the polygon shown in the figure is _______. Question 9 options: 204 units 234 +6 units

Answers

Answer:

\( 2\sqrt{34} + 6 units \)

Step-by-step explanation:

The perimeter of the polygon shown = AC + BC + AB

Using distance formula, calculate the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), calculate AC, BC, and AB.

The coordinates of the points are as follows,

A(3, 5),

B(0, 0)

C(6, 0)

Find AB:

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Where,

A(3, 5) => (x1, y1)

B(0, 0) => (x2, y2)

\( AB = \sqrt{(0 - 3)^2 + (0 - 5)^2} \)

\( AB = \sqrt{(-3)^2 + (-5)^2} = \sqrt{9 + 25} = \sqrt{34} \)

\( AB = \sqrt{34} units \)

Find BC:

BC is easy to determine from the graph directly. The distance from point B to C, is 6 units.

Find AC:

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Where,

A(3, 5) => (x1, y1)

C(6, 0) => (x2, y2)

\( AC = \sqrt{(6 - 3)^2 + (0 - 5)^2} \)

\( AB = \sqrt{(3)^2 + (-5)^2} = \sqrt{9 + 25} = \sqrt{34} \)

\( AC = \sqrt{34} units \)

Perimeter of the polygon = \( \sqrt{34} + 6 + \sqrt{34} \)

\( = (\sqrt{34} + \sqrt{34}) + 6 \)

\( = 2\sqrt{34} + 6 \)

Answer:

2√34 +6 units

Step-by-step explanation: I took the test

What is the median of the following data set?

{6, 3, 9, 1, 7}

3
6
8
9

Answers

Answer:

6

Step-by-step explanation:

First order them from least to greatest:

1, 3, 6, 7, 9

The median is 6 because it is the middle value.

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The tip of a windshield wiper travels a distance of 31 inches in one 90° revolution. What is the length of the windshield wiper to the nearest inch?.

Answers

The length or radius of the windshield wiper to the nearest inch is 10 inches.

For a circle of radius R, the perimeter is:

P = 2*pi*R

such that pi = 3.14

If we have a section of that circle defined by an angle θ, the length of the arc is:

A = (θ/360°)*P =  (θ/360°)* 2*pi*R

In this case, we have a circle whose radius is defined by the length of the windshield wiper.

We also know that in one 90° revolution (so it travels the length of the arc of 90° two times) the tip travels a distance of 31 in.

Then:

A = 2*[(90°/360°)*2*3.14*R] = 31 inches

We need to solve this for R.

R = 31/( 2*(90°/360°)*2*3.14) = 9.8 inches

Rounding Off, we get

R = 10 Inches

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if two children, with masses of 13 kg and 20 kg , sit in seats opposite one another, what is the moment of inertia about the rotation axis? Bowlers that score at least 228 points will make it to the next round. {Let p = the number of points} Semester 2: Unit 3 Energy FlowDirections: Please fill out this study guide with the correct answers using your lessons as a source of help. Once completed, you will upload this to your sample work Dropbox for the corresponding unit.Match the following terms with their definitions:decomposer (U3L1/2), autotroph (U3L2), heterotroph (U3L2), producer (U3L2), consumer (U3L2), chemosynthesis (U3L9), biomass (U3L3), trophic level (U3L3) WordDefinitionAn organism that cannot make its own food and receives its nutrients and energy by feeding on other organismsAn organism that produces its own foodThe position or level of an organism on the food chain or in an energy pyramidAn organism that gets energy by breaking down the remains of dead organisms or animal wasteA process that uses chemical energy instead of light energy by converting carbon or methane into organic matter using inorganic molecules such as hydrogen sulfide or methane as an energy sourceAn organism that captures energy to produce its own food and provide the foundation of the food supply for other organismsThe number of organisms in a given area or volumeAn organism that eats other organisms or organic matter In 1787 the constitution was created to be the supreme law of the land and the basis for all laws in A. the provinces C. the United States B. the surrounding countries D. the islands What is the historical significance of ancient Roman holidays/traditions? Dwayne grew 16 plants with 8 seed packs. How many seed packets does Dwayne need to have a total of 18 plants in his backyard? Assume the relationship is directly proportional. Temp at midnight 5 C & temp is decreasing at rate of 2C per hour show on number line Give 3 peices of advice someone should follow if they are arrested. 20. Solve. 4^(X+4)=411X = Hi guys! My brother is always rly kind to me and I love him more than anything. If you guys play nitro type which is an academic typing game. He is giving away his acc which is stacked with a bunch of stuff. But i am rly saying this so u guys can go sub to his channel It would mean the world to him once he finds out. https://www.yout ube.com/watch?v=4rN7-VVvzIA&feature=youtu.be thats his channel when u copy and paste the link delete the space between the you and the tube. ty all Which are the context clues that tell you the character accepted her life? 7. You have a check for $223.47 and a check for $24.75. Youwould like to deposit the checks and receive 2 ten-dollarbills, 3 one-dollar bills, 10 quarters, and 10 dimes.CASHCHECKSCurrencyCoinsLIST SEPARATELYSubtotalLess Cash ReceivedTotal DepositDOLLARSCENTS A nosotros ______ gusta esquiar. Albuquerque became a railhead ________________ what is |27| ? find the ansrew i need a help please Point t is on line segment su. Given st=6 and tu=5 determine the length of su whitegray18501)1) Maine is home to both the snow shoe hare and the cottontail rabbit. This graph shows how the COdifference in fur color from 1850-2000? Select ALL that apply.A) Snowfall is less common in 2000.B) The winters are longer in 2000 than they were in 1850.C) The white rabbits are more camouflaged now than they once were.D) The white rabbits were more susceptible to disease and died out. In a country with a small open economy, government has ordered a mass domestic introduction of fully automatic retail and teller machines in all shops/supermarkets for consumers to reduce human contact during pandemic. All displaced shop assistances and cashiers have received 6-month wages and free retraining programs supported by the government and get employment in other sectors. Imagine that the cost of such technology has been reduced considerably, while quality is improved.Using 3-equation macroeconomic model for Open economy with labour market, draw a relevant diagram and explain the likely possible effects of these automation technology and the government measures on the key macroeconomic indicators. Clearly state your assumptions and explain any shifts in your diagram .Explain your economic arguments, and identify likely short-term macroeconomic impacts of this mass automation technology and government measures on:(a) the labour market equilibrium ,(b) private investment ,(c) real exchange rate ,(d) output (e) inflation Please help me!The base of a rectangular prism has dimensions measuring 8 feet by 17 feet. If the volume of the prism is 1,632 cubic feet, find the height of the prism.