Which TWO scenarios can be represented by a ratio of 4 : 5?
I NEED AN ANSWER ASAP PLEASE

Which TWO Scenarios Can Be Represented By A Ratio Of 4 : 5?I NEED AN ANSWER ASAP PLEASE

Answers

Answer 1

The two scenarios that can be represented by a ratio 4:5 are

1. The ratio of fiction books to the non fiction books, if there are 4 fiction books to 5 non fiction books

2. The ratio of marker to crayon , if there are 4 markers and 5 crayons. ( option A and D)

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

For a scenario that will give ratio of 4:5, it means the first entity will be 4 and the second entity will be 5.

Therefore the two statements that obey this in the option are

1. The ratio of fiction books to the non fiction books, if there are 4 fiction books to 5 non fiction books

2. The ratio of marker to crayon , if there are 4 markers and 5 crayons.

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Related Questions

Use the figure to answer the question,
Triangle ABC is similar to triangle ABC.
B
Which series of transformations shows that ABC is similar to ABC1
A. Reflect ABC across line I and translate 2 units right.
B. Reflect ABC across line I and translate 6 units up
C. Reflect ABC across line I and dilate from point A by a factor of 2.
D. Reflect ABC across line I and dilate from point A by a factor of

Answers

On solving the provided question, we cans ay that - here in triangles, triangle ABC is congruent to triangle A`B`C`

What is triangle?

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

Here,

two triangles are there

triangle ABC and triangle A`B`C`

AB =A`B`

BC = B`C`

AC =A`C`

So, by sss property

both are congruent

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Which is not a factor pair of 300

Answers

Answer:

Step-by-step explanation:

So, the factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300. [Note: If we divide 300 by 21, we get the quotient and remainder as 14 and 6, respectively. So, 21 is not a factor of 300.

Worked Example:
Select all the expressions that have the same value as 4 1/2% of 50.
A. 0.045x50
B. 4.5%x50
C. 43%x50
D. 4.5x50
E. 0.45x50
F. 412x50

Answers

Answer:

Options A and B

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

4 1/2% of 50 is 4.5% of 50 which is same as:

4.5% × 50

or substituting % with 1/100,

4.5/100 × 50 = 0.045 × 50

The matching choices are A and B.

factorisé x2 + 14x +49

Answers

The expression is factorized to give (x + 7) and (x + 7)

What is factorization?

Factorization described a mathematical methods that consists of writing a number or mathematical object as a product of several other factors that are mostly simpler or smaller objects of the same kind.

Given the quadratic equation;

x² + 14x +49

Find the pair factors of 49 that sum up to 14, the numbers are 7 and 7

Now, substitute the numbers in the expression

x² + 7x + 7x + 49

Make into two expressions, we have;

(x² + 7x) + (7x + 49)

factor out the common terms, we get;

x(x + 7)+ 7(x + 7)

Then, we have;

(x + 7)

(x + 7)

Hence, the factorized form is (x + 7) and (x + 7)

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Which expression is equivalent to -3(x+4)(x-6)-(x^2+8x-10)?

Answers

Answer:-4x^2-2x+46.

Step-by-step explanation:

To simplify this expression, you can start by distributing the negative sign to the first set of parentheses:

(-3)(x+4)(x-6)-(x^2+8x-10)

Then, you can distribute the -3 to the terms inside the first set of parentheses:

(-3x-12)(x-6)-(x^2+8x-10)

Then, you can combine like terms:

-3x^2+6x+36-x^2-8x+10

This simplifies to:

-4x^2-2x+46

Therefore, the expression that is equivalent to -3(x+4)(x-6)-(x^2+8x-10) is -4x^2-2x+46.

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In the figure shown, AB and CD are parallel. AB and CD are intersected by EH at points F and G, respectively. The measure of LEFA is (x - 5)°, and the measure of ZDGF is (73x - 365) °. What is the measure, in degrees, of ZDGH?

Answers

The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

The diagram is given below.

Then the equation is written as,

∠EFA + ∠DGF = 180°

x - 5 + 73x - 365 = 180°

74x = 550

x = 273/27

Then the measure of the angle ∠DGF is given as,

∠DGF = 73(273/27) - 365

∠DGF = 177.57°

Then the measure of the angle ∠DGH will be calculated as,

∠DGH + ∠DGF = 180°

∠DGH + 177.57° = 180°

∠DGH = 2.43°

The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.

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What is the multiplicative rate of change for the exponential function f(x)=2(5/2) in decimal form

Answers

The multiplicative rate of change for the exponential function is 0.4.

What is an exponential function?

The exponential function in mathematics is represented by the symbols f(x)=exp or ex. The word, unless otherwise stated, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

In mathematics, an exponential function has the following form: f (x) = an x, where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.

Given: Exponential function [tex]$f(x)=2\left(\frac{5}{2}\right)^{-x}$[/tex]

To find The multiplicative rate of change for the exponential function.

Solution :

The general form of the exponential function is [tex]$f(x)=a b^x$[/tex]

where $b$ is the rate of change of the function.

First we write the given function In proper form:

[tex]$$\begin{aligned}& f(x)=2\left(\frac{5}{2}\right)^{-x} \\& f(x)=2\left(\frac{2}{5}\right)^x\end{aligned}$$[/tex]

The rate of change is [tex]$f(x)=a b^x$[/tex]

Therefore, The multiplicative rate of change for the exponential function Is $0.4$

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A gym membership is $28 to join and $10 paid monthly.

Create a table to represent this scenario, then create an equation.

Enter your answers in the boxes.

Months Purchased Total Cost ($)
0 28
1
38
2
48
3
58
4
68


The equation to represent this scenario is y =
x +
.

Answers

Answer:

sorry needed points so sorry

Step-by-step explanation:

Select all of the true statements below.

1.) 8u+3v+5 is written as a sum of three terms.

2.)8u is a coefficient.

3.)8u and 5 are like terms.

4.)5 is a constant.

5.) 8u is a factor.

6.)None of these are true.

Answers

the true statements for 8u + 5 + 3v are:

1.) 8u+3v+5 is written as a sum of three terms.

4.)5 is a constant.

What is constant?

The word "constant" in mathematics has several different connotations. When used as a noun, it can have either of the following two meanings: Non-variance (i.e., not changing in relation to some other value) or Variance.

an unchanging number or other non-changing mathematical object that is fixed and well-defined. Sometimes, to distinguish between these two meanings, the terms mathematical constant or physical constant are used.

a function with a constant value (i.e., a constant function).

These constants are frequently represented by a variable that is independent of the main variable or variables in question.

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Prove that limx→2 x/1+x= 1/2 using the definition of limit​

Answers

We have the limit as x→2 of x/1+x. Plug in the value of 2 for x.

We get,

2/(1+2) => 2/3

Given the circle below with secants \overline{UVW} UVW and \overline{YXW} YXW . If YW=40, YX=16YW=40,YX=16 and VW=22VW=22, find the length of \overline{UV} UV . Round to the nearest tenth if necessary.

Answers

The length of UV in the circle is given as follows:

13.2.

How to obtain the length of UV?

We are given two secant segments in the circle for this problem.

For two secants, the product of the lengths of one secant segment and it's external segment equals the product of the lengths of the other secant segment and it's external segment.

Hence, from the circle given by the image presented at the end of the answer, the relation for this problem is given as follows:

(22 + 17) x 17 = (20 + UV) x 20

Hence we must simply solve the expression to obtain the length of UV, as follows:

39 x 17 = 400 + 20UV

663 = 400 + 20 UV

20 UV = 263

UV = 263/20

UV = 13.2.

Missing Information

The circles are given by the image presented at the end of the answer.

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Quite simply I don’t know HJ, that’s it.

Answers

What that makes no sense

Use partial quotients to solve 5,140 ÷ 9 = ___.

Answers

The correct answer is 571 quotient and 1 is remainder.We can solve easily by partial quotients.

What are partial quotients division?

Partial quotients division is a deviation from the standard method. The divisor is multiplied with a number and the multiple obtained is deducted from the dividend. This multiple of the divisor is as close as possible to the dividend, that is less than or equal to the dividend.

Why do we use partial quotient division?

Partial quotient division provides natural differentiation because we can have students solve at a level they are comfortable with and then we can challenge them to find a more efficient way. And this means using fewer steps and solve easily.

Now we solve

first 9 multiply with 500 so we get 4500. 5140-4500=640

then 9 multiply with 70 so we get 630. 640-630=10

then 9 multiply with 1 so we get 9.   10-9=1

Hence       500+70+1=571

And our remainder is 1.

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Please need help asap, 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!

Decide whether the triangles can be proven congruent by the given postulate or theorem. If not, state what information is needed.

Answers

17. The triangles can be proven congruent by the SSS theorem.

18. The triangles cannot be proven congruent by the HL theorem, as it is not known if the triangles are right triangles.

What are the congruence theorems?

The side-side-side congruence theorem, abbreviated as SSS, means that if two triangles have three equal side lengths, then the triangles are congruent.

In item 17, we have that:

Sides JK and IH are equal.Sides JI and HY are equal.Side JH is common to both triangles, hence they are equal.

As the three triangles are equal, then the SSS theorem can be used to prove the congruence of the two triangles.

The HL theorem represents the hypotenuse and leg theorem, which means that if two right triangles share a hypotenuse measure along with a leg measure, then they are congruent.

Hence item 18 cannot be proven congruent by the HL theorem, as there is no information regarding whether the triangles are right triangles.

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Two sides
Of the x that are multiplied together to get the top number of the x but added together to get the bottom number of the x like 24 too 25 on bottom

Answers

As a result, we take the square root of the both sides since if two expressions are equal, then so are their square roots.

What is the definition of the square root?

By multiplying the square root of a positive integer by oneself, the number is obtained. As an illustration, 5 is the square root of 25, since 5 × 5 equals 25. Since (5) (5) = 25, 5 is also the square root of 25 as you can see. The symbol, which is, is always used to indicate the square root of a number of a variable x.

Here,

In this case, we're using the square to solve a quadratic equation.

Never forget to use both the negative and positive roots of the equation and to square the values of both sides.

We can accomplish this because to the rule that states that if two expressions are comparable, then their square roots are also equivalent.

As a result, we take the square root of both sides since if two expressions are equal, then so are their square roots.

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Select the correct answer.
Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights.

Which of the following formulas will show how Steve can determine the height of a rectangular pan?

Answers

I believe it's A

I hope this helps and if I'm wrong I apologize

Write 2,023 in word form

Answers

Answer:

Two thousand and twenty three

Step-by-step explanation:

Answer: Two and twenty-three thousandths

Step-by-step explanation:

Suppose we want to choose 6 letters with out replacement from 13 distinct letters. How many ways can this be done if the order of the choices is not relevant? How many ways can this be done if the order of the choices is relevant?

Answers

Suppose we want to choose 6 letters with out replacement from 13 distinct letters.

a. The number of  ways this be done if the order of the choices is not relevant is   1,235,520  ways.

b.  The number of  ways this be done if the order of the choices is relevant is 1716 ways.

How to find the number of ways?

a. Number of ways if choice are not relevant

[tex]^nP_r = n!/ (n-r)![/tex]

Where:

n =13

r = 6

So,

[tex]^1^3P_6[/tex] = 13! / (13 - 6)!

[tex]^1^3P_6[/tex] =6,227,020,800 /7!

[tex]^1^3P_6[/tex] =6,227,020,800/5,040

[tex]^1^3P_6[/tex] =  1,235,520 ways

b. Number of ways if choice are relevant

[tex]^nC_r =n!/ r! (n-r)![/tex]

[tex]^1^3C_6[/tex] = 13! / 6!(13-6)!

[tex]^1^3C_6[/tex] = 13! / 6! × 7!

[tex]^1^3C_6[/tex] =6,227,020,800 / 720×5040

[tex]^1^3C_6[/tex] =6,227,020,800 / 3,628,800

[tex]^1^3C_6[/tex] = 1,716 ways

Therefore the number of ways are 1,235,520 ways  and 1,716 ways.

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Percent | Word Problems
1) Mrs. Smith has covered 50 miles of a 125-mile journey. What percentage of the
journey has been covered by her?

Answers

Answer:

40%

Step-by-step explanation:

50/125×100%

=40%

Mr Smith has covered 40 percent of the journey

Answer:

40%

Step-by-step explanation:

50/125 ×100= 40%

HELPPP ASPPO!!
4x -y=6
-4x +y =8
which statement correctly describes the system of equations

Answers

The equation system is appropriately described by the formula 4x - y=6.A mathematical formula known as an equation combines two assertions .

what is equations ?

A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.

given

Graphing, substitution, and elimination are the three techniques used to solve systems of equations.

By graphing the given equations, you can easily solve a system by finding the point(s) where they all cross.

The values of the variables you are solving for will be provided by the coordinate of this point.

The equation system is appropriately described by the formula 4x - y=6.

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Find the values at the 30th and 90th percentile for each data set

6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581.

Answers

The answer here is 5896 her

a wall is 50cmx50cm how many 2cmx1cm tiles would you need to fill it

Answers

Answer: 1250

Step-by-step explanation: 50 x 50 = 2,500

                 2,500 divided by 2 is 1250

You get to spin the wheel one time. What's the probability that you will
land on bankrupt?

Answers

The likelihood of the word "BANKRUPT" appearing on the Wheel of Fortune is 1/9 = 11.1%.

How many bankrupts are on the Wheel of Fortune?

The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it. A "1" spinning is 3 out of 8 likely.

Select a direction, get a matrix, locate an eigenvector, normalize it, take its adjoint, multiply by your vector, determine the magnitude of the result, then square that. Finished, that's the likelihood.

Two Bankrupt wedges and one Lose a Turn wedge are also included on the wheel. The contestant's turn is forfeited if they land on either, and the Bankrupt wedge also gets rid of whatever money or rewards they have acquired during the round.

The likelihood of spinning "BANKRUPT" on any given spin of the Wheel of Fortune is 1/9 = 11.1%.

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1.
How many degrees does the hour hand of
a clock turn in 5 minutes?
(A)1/2
(B)3 1/2
(C) 5°
(D)2 1/2

Answers

Answer:

The answer is D (2 1/2)

Hope u helped

What number is increased by 3 is equal to 16 decreased by 3

Answers

Answer:

The answer is 10.

16 - 3 = 13

10 + 3 = 13

Answer:

10

Step-by-step explanation:

Here,10+3=13

and,16-3=13

How many possible triangles can be created if measure of angle A equals pi over 6 comma c = 18, and a = 9?

0 triangles
1 triangle
2 triangles
Cannot be determined based on the given information

Answers

If the measure of angle A equals pi over 6, the angle c equals 18, and the angle an equals 9, triangles may be formed.

When do three lines join to make a triangle?

You only need to apply the Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side. A triangle will exist if this holds true for each of the three possible added side length combinations.

From the given information, we have that:

m<B = pi/6 = 30 degres

c = 10

b = 5

This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle

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A company is producing picture frames as well as the glass for the front of the frames. The amount of wood required
for the frame is represented by the function W/(x), and the amount of glass is represented by the function G(x). The
frames have lengths represented by the function f(x) and widths represented by g(x).
X
2
3
4
5
W(x)=2[(f+g)(x)]
14
24
34
44
G(x) = (f-g)(x)
6
27
60
105
Which statement describes the combined functions W(x) and G(x)?
O The amount of glass required has a constant rate of change, but the amount of wood does not.
O The amount of wood required has a constant rate of change, but the amount of glass does not.
O Both the amount of wood required and the amount of glass required have a constant rate of change.
ONeither the amount of wood required nor the amount of glass required has a constant rate of change.

Answers

Answer:The combined functions W(x) and G(x) represent the amount of wood and glass required to produce a picture frame. Based on the information provided,

W(x)= 2[(f+g)(x)] and G(x) = (f-g)(x)

By looking at the values of the given table, it can be observed that the rate of change in the amount of glass required (G(x)) is not constant, it increases as x increases.

On the other hand, the rate of change in the amount of wood required (W(x)) is not constant as well, it increases as x increases too.

It's not mentioned any information about constant rate of change for f and g.

Therefore, the correct statement that describes the combined functions W(x) and G(x) is: "Neither the amount of wood required nor the amount of glass required has a constant rate of change."

It's important to mention that the problem provided does not have a unique solution, because the values for f and g are not defined so it's not possible to infer their behaviour over time.

It is only possible to infer the behaviour of the functions W(x) and G(x) given the information provided, and it is clear that the rate of change for both functions does not remain constant, but it increases as x increases.

Step-by-step explanation:

The table describes the quadratic function p(x).


x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46

What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2

Answers

The equation of p(x) in vertex form is p(x) = 3(x - 1)² - 2.

Option C is the correct answer.

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

From the table,

From p(x) = 10 to p(x) = -2 the value of p(x) is decreasing and from p(x) = -2 to p(x) = 46 it is increasing.

So,

The vertex is (1, -2).

The vertex form of p(x).

p(x) = a ( x - h)² + k

Where (h, k) is the vertex.

Now,

(1, -2) = (h, k)

Make (0, 1) = (x, p(x))

1 = a (0 - 1)² + (-2)

1 = a - 2

a = 1 + 2

a = 3

Thus,

The vertex equation of p(x).

p(x) = 3(x - 1)² - 2

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A 12 ft ladder leans against the side of a house. The top of the ladder is 11 ft off the ground. Find x , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answers

The value of angle of elevation (x) is 67°

What is angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Angle of elevation can be found by using trigonometry ratio

The height of the house is the opposite and the height of the ladder is the hypotenuse.

Therefore from trigonometry ratio;

sin x = 11/12

sin x = 0.92

x = sin^-1 (0.92)

x= 66.93°

x = 67° ( nearest degree)

Therefore the value of angle of elevation is 67°

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Steps to solve equation

Answers

An equation may have more than one solution.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The variable's value for which the equation holds true is referred to as the equation's solution. If the LHS and RHS are switched, an equation doesn't change. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.

Steps to solve a linear equation:

1. If necessary, remove the parentheses and use the distributive property.

2. By merging like terms, make both sides of the equation simpler.

3. The LCD (least common denominator) of all the fractions should be multiplied by both sides of the equation if there are any fractions.

4. If the equation contains decimals, multiply both sides by the lowest power of 10 to make the result a whole number.

5. Using the addition and subtraction properties of equality, move the constant terms to the other side of the equation and the variable terms to the other.

6. Using the equality properties of multiplication or division, set the variable's coefficient to 1.

7. Get the answer by isolating the variable.

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Whats is the prime factorization of |-21| Review at least two surveys about the use of agile methodologies, such as the annual survey on the state of agile by VersionOne. Also find a critical analysis of these surveys as they are sponsored by companies that sell agile products or surveys. Summarize your findings in a short paper Mary is a second year college stundent and wants to earn extra pocket money . she is good in making hand burgers,so she is considering opening up a hamburger stall on weekends at the local flea market near the compus. after investigating, she found the following: she can rent an exclusive site for R300 a day , payable in cash . this site can be rented for 10 hours per day . the existing major competitor in the flea market is selling hamburgers at R15 each. she reckons she will do well if she can sell better quality double cheese burger at the same price. she further decided to rent a fully equipped trailer , custom made for hamburgers stall with all additional accessories e.g signboards, gas ect. the rent is R460 per day. she would like to generate a salary of R500 per day plus an additional R240 per day for her little siister that would like to help her and also earn a little money. Mary further found that the ingredients of 1 hamburger add up to exactly R5. she also decided to rent a sign to fit above the trailer for R500 per day . Mary would like to know: how many hamburgers must she sell per day to cover her cost? motivate your answer by completing the table When was relief recovery reform? Choose all that apply to the Articles of Confederation:Choose all that apply to the Articles of Confederation:Established the Electoral College.Every state was its own "country."Could not raise taxes.Established the United States.Established a weak central government.Set up the 3 branched governmental system we have today. A box is released from the top of a frictionless track. It starts from rest and has a speed of 14 m/s at the bottom. What is the height of the track Erin is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 5 mysteries, 5 dramas, and 7 action movies. How many different combinations of 9 movies can he rent if he wants all 5 mysteries Which element has a violent reaction when combined with cold water ?____Base your answers to the following questions on the electron configurations below:(A)2s1(B)[Ar] 3d104s24p1(C)[Kr] 4d105s25p3(D)[Ne] 3s2(E)[Kr]4d105s25p6 an informational text can persuade, entertain, or inform.true or false? 2. DISCUSS: At the end of the story "Cheboygan Day," how do you think Owen's friends would havereacted if he had been more confident in standing up for Adele rather than simply conforming to theirbeliefs about her? Can I get help in number 6? Eric added up on a number line to find 4 over 5 minus 5 over 10 How do you calculate the speed of an object rolling down a ramp? How does dynamic stretching help an individual prepare for an activity brainly? How can matter be arranged, and how do we model the arrangement of matter? How can I make my own cheerleading routine? how to graph a parent function and describe the transformations it obtains? Lesson 17Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.Hypotenuse = 14.5 meters Opposite side = 6.3 meters = ? what was one of maria theresas successes as an absolute monarch What are the values of trigonometric ratios?