five plus two times a number n is less than or equal to eleven. select all of the representation's that are solutions.
1) n less than or equal to 3
2) 3 less than or equal to n
3) n less than or equal to 8
4) 3 greater than or equal to n

Answers

Answer 1

Answer:

The worded problem translates to n  ≤ 3

The options that are solutions to the problem are 1 and 4:

1) n less than or equal to 3, and

4) 3 greater than or equal to n   (since 3 ≥ n)

Step-by-step explanation:

Let's translate the e=words into expressions:

"five plus two times a number n"  becomes 5 + 2n

"is less than or equal to eleven" becomes ≤ 11

Put the two expressions together, with the word "is" and the "=" sign:  

     5 + 2n ≤ 11

Solving:  

   2n  ≤ 11 - 5

   2n  ≤ 6

   n  ≤ 3

The options are:

1) n less than or equal to 3   Correct

2) 3 less than or equal to n   Incorrect.  3 is greater than or equal to n

3) n less than or equal to 8   Incorrect.  n is less than or equal to 3

4) 3 greater than or equal to n    Correct   3 ≥ n


Related Questions

Rob collects model planes one of his planes uses a sacks in which 1 inch represents 1. 5 feet if the length of the model airplane is 12 inches find the length of the actual airplane on feet

Answers

If 1 inch represents 1.5 feet, we can use this conversion factor to find the length of the actual airplane in feet. Thus 12 inches of model airplane represents an actual length of the actual airplane of 18 feet.

Therefore the answer is 18 feet.

To convert the length of the model airplane (12 inches) to feet, we can multiply it by the conversion factor (1 inch = 1.5 feet)

= 12 inches × 1.5 feet/inch

= 18 feet

So the length of the actual airplane is 18 feet.

It is important to pay attention to the units of measurement when performing conversions and make sure to use the correct conversion factor. And also it's a good practice to always check your answer to make sure it makes sense in the context of the problem.

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Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation. (4 points)


Part B: Logan made a profit of $210. 00 as a mobile groomer. He charged $75. 00 per appointment and received $35. 00 in tips, but also had to pay a rental fee for the truck at $10. 00 per appointment. Write an equation to represent this situation. (4 points)


Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

The equations for parts A and B are 170 = 60x + 50 and 210 = 75x + 35 - 10x, respectively.

What is an equation ?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

The statement is not an equation if there is no "equal to" sign in it.

According to our question-

A) It is stated that Maci once earned $170 by grooming dogs.

For each appointment, she charges $60, and she received $50 in tips. Consequently, the equation to illustrate this is;

170 = 60x + 50

the number of appointments is x.

B) Logan earned $210.00 in profit. He charged $75.00 for each session and got $35.00 in gratuities. In addition, he had a $10.00 truck rental fee per appointment. In order to represent this, the equation is;

210 = 75x + 35 - 10x

the number of appointments is x.

C) The quantity of tips they will receive even without an appointment varies between the formulae.

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What are the domain and range of this function

(0, -4)
(10,-2)
(-10, -2)
(1, -6)

Answers

The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.

what is domain?

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

The range refers to all potential values of y, while the domain refers to all conceivable values of x.

The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.

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In the cube $ABCDEFGH$ with opposite vertices $C$ and $E$, $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD}$, respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2$
(A) $\frac{5}{4}$ (B) $ \frac{4}{3} $ (C) $ \frac{3}{2} $ (D) $ \frac{25}{16}$ (E) $\frac{9}{4}$.

Answers

The value of R² is 3/2

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

We can see that EJCI is a rhombus and

Area of rhombus is given by

Area of rhombus  = Lenth of one diagonal * length of another dialonal / 2

Thus,

EC = (a^2 + a^2 + a^2)^0.5

=> EC = a * (3)^0.5

JI = (a^2 + a^2 )^0.5

=> JI = a * (2)^0.5

So,  the area of EJCI = EC * JI / 2

=> Area = (1/2) * (a^2)  * (6)^0.5

Area of face = a^2

R = [ (1/2) * (a^2)  * (6)^0.5] / a^2

=> R = 1/2 * 6^0.5

So, the required R² is

R^2 = (1/4) * 6

=> R^2 = 3/2

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Lionel purchases 1-pound bags of each of the five seeds and nuts shown in the table. Of the following, which best approximates the average (arithmetic mean) number of calories per bag?
(1 pound = 16 ounces)
A)150
(B)250
C) 1,500
D) 2,500

Answers

The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.

What is an arithmetic average?

In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

How to calculate the arithmetic average for the number of calories per bag?

Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:

Arithmetic average = [F(x)]/n

Next, we would determine the total number of calories and then convert to ounces:

Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185

Total number of calories, F(x) = 788 calories.

Note: 1 pound = 16 ounces.

Total number of calories, F(x) = 788 calories × 16 ounces

Total number of calories, F(x) = 12,608 calories.

Now, we can calculate the arithmetic average for the number of calories per bag:

Arithmetic average = [F(x)]/n

Arithmetic average = 12,608/5

Arithmetic average = 2,521.6 ≈ 2,500.

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Can a/the variable in a algebraic expression be a base?

Answers

Answer:

yes

Step-by-step explanation:

yes

yes

yes

yes

yeyed

yes

It says its wrong. I do not know how to mark you the brainliest

Answers

Answer:

A) Angle 2, Angle M

B) Angle M

C) Angle NM (or MN), Angle QM (or MQ)

Step-by-step explanation:

A) So M is the vertex of angle QMP, and the picture tells you that it's angle 2

B) M is the middle angle

C) The diagram shows you the answer

An entertainment center is 52 inches wide and 40 inches high. Will a tv with a 60 inches diagonal fit ?

Answers

No, a TV with a 60 inch diagonal would not fit in an entertainment center that is 52 inches wide and 40 inches high.

What is diagonal?

Diagonal is a line connecting two or more points that are not in a straight line. It is used to describe the shape of a polygon and also used in mathematics to refer to lines, angles, and shapes. It can also refer to a line, or direction, that is not parallel or perpendicular to something else. In geometry, diagonal lines are used to divide shapes into equal parts, and are used in the construction of polygons. In linear algebra, diagonal lines are used to calculate the determinant of a matrix.

The diagonal measurement of a TV is the length of a line drawn between the opposite corners of the TV. For a 60 inch diagonal TV, the width of the TV would be around 52 inches and the height would be around 33 inches. As the entertainment center is only 40 inches high, the TV would not fit in it.

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Write 6789 correct to 3 significant figures

Answers

Answer:

The answer is 679

Step-by-step explanation:

A significant figure is a number greater than zero so to 3 significant figures just count 3 from the front then round up 9 and it becomes 1 then add it to 8 to become 9 which equals 679

Hope it helps

Pls rate as brainliest answer

What is 3 8 equivalent to as a fraction?

Answers

Answer:

6/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

15/40 i think

Is log e and log same?

Answers

The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.

The log with a base "e" (log e) is the same thing as In

The natural logarithmic function log e  refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;

We can say that:

log e = ln

Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.

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what is an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]5x+4y=16\implies 4y=-5x+16\implies y=\cfrac{-5x+16}{4} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{5}{4}}x+4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is -5/4 and it passes through (8 , -7)

[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{5}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{- \cfrac{5}{4}}(x-\stackrel{x_1}{8}) \implies y +7= -\cfrac{5}{4} (x -8) \\\\\\ y+7=-\cfrac{5}{4}x+10\implies {\Large \begin{array}{llll} y=-\cfrac{5}{4}x+3 \end{array}}[/tex]

How to solve and answer?

Answers

Answer:

I believe the answer is 3

Step-by-step explanation:

because NO and KL are parallel, they have the same length which is 3 as given in the question description. We also know that KL and NM have the same length. Therefore, NM is also 3.

Is 9x² 30x 25 a perfect square trinomial?

Answers

Yes, [tex]9x^2-30x +25[/tex]  is a perfect square trinomial.

How can you tell if a trinomial is a perfect square?

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial of the form [tex]ax^2 + bx + c[/tex] meets the requirement [tex]b^2 = 4ac[/tex], it is said to be a perfect square.

What trinomial has a perfect square?

Two of your terms will be perfect squares in a perfect square trinomial. This trinomial is not a perfect square trinomial if it lacks two perfect square terms. The square root of each perfect square word should now be determined, combine the two square roots, then multiply the result by two.

This trinomial is a perfect square. The only thing left to determine is whether the middle term matches when you square (3x-5) because both [tex]9x^2=(3x)^2\ and\ 25=52[/tex] are perfect squares. The minus sign was used to at least produce a negative coefficient for the middle term.

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CAN SOMEONE PLS HELP WITH THIS QUESTION ILL GIVE 20 POINTS​

Answers

To fix their problem, a consumer is requesting a phone call,... I'll get a notification as soon as you respond.

How high is the ball after one second?

The ball's height is 86 feet after one second. h=176t-16t2 calculates the height of a ball in feet after t seconds.

How much time did the ball take to hit the ground When the ball lands, its height (h) is 0 feet. You launch a ball into the air with an initial vertical velocity of 32 feet per second while standing at a height of 5 feet.

Calculate the maximum height of the ball using the vertical motion model, which is h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet.

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A research company desires to know the mean consumption of meat per week among males over age 27. They believe that the meat consumption has a mean of 4.7
pounds, and want to construct a 98 % confidence interval with a maximum error of 0.09 pounds. Assuming a variance of 1 pounds, what is the minimum number of
males over age 27 they must include in their sample? Round your answer up to the next integer.

Answers

Answer:

To construct a 98% confidence interval with a maximum error of 0.09 pounds and assuming a variance of 1 pound, the minimum sample size can be calculated using the formula:

n = (2 * standard error of the mean / margin of error)^2

Plugging in the values, we get:

n = (2 * (1 / sqrt(n)) / 0.09)^2

Solving for n, we get n = 832.6. Rounding up to the next integer, the minimum number of males over age 27 they must include in their sample is 833.

Step-by-step explanation:

Simplify: [tex]\frac{-28cd^3}{-21bd^2}[/tex]

Answers

The answer is 4cd/3b

hope it's correct

Write and solve the inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number.

negative one third is greater than or equal to negative two fifths y where y is greater than or equal to negative five sixths
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths
negative two fifths is greater than or equal to negative one third y where y is less than or equal to negative two fifteenths
negative two fifths is less than or equal to negative one third y where y is greater than or equal to two fifteenths

Answers

The inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number is: B. negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths.

What is an inequality?

In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:

Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).

Note: Let the variable y represent the unknown number.

Next, we would translate the word problem "negative one third is greater than or equal to the product of negative two fifths and a number" into an algebraic inequality as follows;

-1/3 ≥ -2/5 × y

-1/3 ≥ -2y/5

Multiplying both sides of the algebraic inequality by -5/2, we have:

-1/3 × -5/2 ≥ -2y/5 × -5/2

5/6 ≤ y

y ≥ 5/6.

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a dealer sold printing machine for 47460 including 13% vat. find the original price(excluding vat).

Answers

Answer:

42000

Step-by-step explanation:

Original price (before VAT) is 100% of price.

VAT is 13%, of the original price so final price is 113% of original price.

113% = 1.13

original price = 47460/1.13 = 42000

Evaluate the expression 5(x – 6 + 3x)2 – 6 where x = 2.

Answers:

1: 974

2: 14

3: -16

4: 26

Answers

So the expression evaluates to 14 when x = 2.

To evaluate the expression, we first substitute x = 2 into the expression:

5(2 - 6 + 3*2)^2 - 6

There are two methods for solving simultaneous linear equations: graphical methods and algebraic methods. The algebraic technique includes the substitution method as one of its categories.

The value of one variable from one equation is substituted in the second equation using the substitution method. In this manner, a pair of linear equations is reduced into a single linear equation with only one variable, which can then be solved quickly.

Next, we simplify the expression inside the parentheses:

=5(2 - 6 + 6)^2 - 6

=5(2)^2 - 6

=5*4 - 6

=20 - 6

=14

So the expression evaluates to 14 when x = 2.

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When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a
histogram
standard deviation distribution
percentile distribution
bar graph
scatter-plot or scatter-gram

Answers

When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a scatter-plot or scatter-gram.

What is scatter-plot or scatter-gram?

Scatter-plot: A scatter-plot is a form of mathematical diagram or plot that employs Cartesian coordinates to illustrate distinct values associated to two variables for a specific set of data. It is also known as a scatter-gram, scatter-graph, scatter-chatter, or scatter-diagram.

It is being utilized to determine how one variable influences the other.

The supplied statement in the question above represents the scatter plot.

Here,

When you observe a graphed cluster of dots reflecting the values and relationship of two separate variables, you are looking at a scatter-plot or scatter-gram, which is a visual explanation of relatedness.

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Step 3: Testing Jerome’s sister’s approach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.







Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument.

Answers

Yes Jerome's sister is correct.

The answer to the table is given below.

What is a ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here:

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.

Drink mix     3  6    9   12   15

water cups   8  16   24  32  40 

we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.

Hence, The complete table is shown above.

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What is 3 6 equivalent to in fractions?

Answers

Answer:

1/2

Step-by-step explanation:

The two expressions below have the same value when rounded to the nearest hundredth
log5b log948
what is the approximate value of logb to the nearest hundredth

0.93
1.23
9.16
65.53

Answers

The approximate value of ㏒(b) to the nearest hundredth is 1.23.

Logarithms:

The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function. 

In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)

Given that

The two expressions below have the same value when rounded to the nearest hundredth

=> ㏒₅ (b) = ㏒₉ (48)  

As we know  ㏒ₐ(b) = ㏒(b)/ ㏒(a)

=> ㏒₅ (b) = ㏒(b)/㏒(5)

=> ㏒(b)/㏒(5) = ㏒₉ (48)  

=> ㏒(b) = ㏒₉ (48) ㏒(5)

=> ㏒(b) =  (1.7618)(0.6989)  

=> ㏒(b) = 1.23132202  

=> ㏒(b) = 1.23  

Therefore,

The approximate value of ㏒(b) to the nearest hundredth is 1.23.

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help? anyone? please

Answers

Answer:

Step-by-step explanation:

Perimeter is the addition of all the sides.

So in this question, if you add up all the sides :

14x + 8x +7x +12

Simplify by adding all terms with x :

29x + 12  

(As you can not add a number constant to a variable )

what is the value of x?

Answers

Answer:119

Step-by-step explanation:

because it's on oppisite sides on the outside

Answer:

C) 119°

------------------------------

The two given two angles are alternate exterior angles and therefore  congruent according to alternate exterior angles theorem:

x = 119°

Definition:

Alternate exterior angles are the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.

A local health club offers two membership plans. Under Plan A, you pa
flat rate of $201 a month and you get unlimited visits. Under Plan B, yo
pay only $33 per month, but must pay $8 for each visit to the club. At
what number of visits will both plans be the same?
The plans cost the same if you visit
times.

Answers

Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.

A linear equation is precisely what?

The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.

Here,

Given :

Case 1: flat rate of $201 a month and you get unlimited visits.

and

Case 2:pay only $33 per month, but must pay $8 for each visit to the club.

Thus,

To find at what number of visits both plan be equal is

Let x be the number of visit,

We get,

Case 1: 201

Case 2: 33 + 8x

For equlaity:

=>33+ 8x =201

=>8x =168

=> x =168/8

=> x =21

Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.

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Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)

Answers

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

What is the triangle?

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

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what is the measure indicated in the parallelogram ​

Answers

Answer:

? = 74°

Step-by-step explanation:

• in a parallelogram, consecutive angles sum to 180° , that is

? + 106° = 180° ( subtract 106° from both sides )

? ( ∠ G ) = 74°

Issa jogged two-thirds of the way home from school. Then he was tired, so he walked the remaining 3{,}200\text{ m}3,200 m3, comma, 200, start text, space, m, end text. how many kilometers did issa travel from school to his house

Answers

The distance Issa travelled from school to his house is 9.6 km.

What is the distance travelled?

The actual length covered by the body is defined as distance travelled, whereas displacement is the straight path between the initial and final points.

Here,

Let the total distance between school and home be 'x' meters.

Issa jogged two-thirds of x = 2x/3

So the total distance between school and home is = 2x/3 + 3200

However, the total distance from school to home = x

= 2x/3 + 3200 = x

= 3200 = x/3

= 9600 = x

As a result, the total distance from school to home is 9600 meters.

We're now converting it to kilometers.

We know that 1000 meters equals one kilometer.

9600 meters = 1/1000 x 9600

= 9.6 kilometers

Therefore the distance travelled will be 9.6 km.

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Ile Faller is of inheritance Read each of the sentences that describe a physical change. Drag each sentence into the correct box. Matthew scored a total of 168 points in his basketball season. He scored 147 of those points in the regular season and the rest were scored in his playoff game. What percent of his total points did he score in the playoff game? TRUE OR FALSE smiles.substring(1, 5) returns "mile". Please help! best answer gets brainliest. Graph 5- Survivorship Curves Using your textbook or an online resource, determine the differences between K-selected species and r-selected species. Next, use the graph below to answer question 24. A required reserve ratio of 12 percent gives rise to a simple deposit multiplier of Oa. 83.33. O b. 8.33. . 6.67. Od. 12 What number is increased by 3 is equal to 16 decreased by 3 20 Points Q7 What was important about the Lewis and Clark Expedition? It found a path through the Cumberland Gap.It explored territory acquired in the Louisiana Purchase.It found a faster way for ships to get to the port of New Orleans.It revealed that gold was available in Kentucky. What are the specific characteristics that define the private enterprise system? How does this type of system encourage innovation? Provide an example that helps to illustrate this and explain. How does Animal Farm represent society? Mr. Tompkins rode a bus that averaged 30 mph from his home to the airport, andflew to another city at 250 mph. If his total trip was 670 miles and it took him fourhours of traveling time, how many miles does he live from the airport? What are the 4 main parts of a blog? contract an essay on how to promote respect for others and how to strengthen family relationship who wants to know how to make appealing notes on a goog doc Who is best steel supplier company in Dubai? The recipe Troy is using calls for 1 cup of cocoa. Troy added anothercup. What was the percent of change? Drag the tiles to the correct boxes to complete the pairs.Match each Federalist paper with its description.Federalist No. 51Federalist No. 78Federalist No. 10Federalist No. 14DescriptionsFederalist Papersfactionalism will help protect minority rightsarrowBotha truly independent judiciary will help protect individual rightsarrowBothchecks and balances will help prevent abuse of powerarrowBothreserved powers will help mitigate issues with the countrys large sizearrowBoth What is the branch of psychology that applies psychological concepts and questions to work settings and problems What is it called when a state does not follow a federal law? Simplifying algebraic expression