Write each ratio as a fraction in simplest form.
11 1/3 out of 50 2/3

Answers

Answer 1

Answer:

[tex]\frac{17}{76}[/tex]

Step-by-step explanation:

expressing the ratio in fractional form

[tex]\frac{11\frac{1}{3} }{50\frac{2}{3} }[/tex] ← change mixed number to improper fractions

= [tex]\frac{\frac{34}{3} }{\frac{152}{3} }[/tex] ( multiply numerator and denominator by 3 )

= [tex]\frac{34}{152}[/tex] ( divide numerator and denominator by 2 )

= [tex]\frac{17}{76}[/tex] ← in simplest form


Related Questions

A sphere has a diameter of 24 mm.
What is the volume of the sphere?

48pi mm³
192pi mm³
2304pi mm³
I don't know.

Answers

Answer:

Step-by-step explanation:

volume of a sphere = ⁴/3 π r³. r = D/2. V = 4/3 × π × (D/2)³. V = 4/3 × π × D³/8. V = ⅓ × π × D³/2. V = ⅓× π × (24mm)³/2.

Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percentage error? Use proportional relationships to solve the problem. Show all your work and round your answer to the nearest tenth.

Answers

Answer: 11.1%

Step-by-step explanation:

The formula for percent error is:

|Actual-predicted/predicted| * 100%

In the context of the problem:

Actual = 16 ft

Predicted = 18 ft

Plug these values into the equation:

|16-18/18| * 100% = percent error

11.11% = percent error
If you have any other problems about percent error, you should be able to just plug these values into the formula

In the figure below, a pole has two wires attached to it, one on each side, forming two right triangles.



Based on the given information, answer the questions below. Round each answer to the nearest tenth.

Part A: How tall is the pole? Show your work.

Part B: How far from the base of the pole does Wire 2 attach to the ground? Show your work.

Part C: How long is Wire 1? Show your work.

Answers

A. Applying the trigonometric ratio, the length of pole = 29.6 ft.

B. 23.1 ft.

C. Length of wire 1 = 45.1 feet.

How to Apply the Trigonometric Ratios?

The trigonometric ratios are:

sin ∅ = opposite length/hypotenuse length cos ∅ = adjacent length/hypotenuse lengthtan ∅ = opposite length/adjacent length.

Part A: Apply the trigonometric ratio, tan ∅ = opp/adj, to find the length of the pole

∅ = 41°

Opp. = length of pole

Adj. = 34 ft

Substitute

tan 41 = length of pole/34

Length of pole = (tan 41)(34) = 29.6 ft.

Part B:

Let the distance between the base of the pole and wire 2 be represented as x. Therefore, apply tan ∅ = opp/adj.

∅ = 38

Opp. = x

Adj. = 29.6 ft

Therefore:

tan 38 = x/29.6

x = (tan 38)(29.6)

x = 23.1 ft.

Part C: Use the Pythagorean theorem to find the length of wire 1.

Length of wire 1 = √34² + 29.6²)

= 45.1 feet.

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length of 3 feet, a width of 2 feet, and a height of 5 feet. What is the volume of the refrigerator?

Answers

Answer:

30 feet^3

Step-by-step explanation:

length x width x height

3 x 2 x 5

=30

The answer to this is 30 ft always multiply the L•w•h

can someone help me really quick

Answers

Answer:

2 swimming pool lengths

Step-by-step explanation:

to answer this we divide 1/2 by 1/4

1/2/1/4

1/2x4/1=4/2

2 swimming pool lengths

hopes this helps please mark brainliest

A roofing contractor uses shingles at a rate of 3 bundles for every 96 square feet of roof covered. At this rate, how many bundles of shingles will he need in order to cover a roof that is 416 square feet?

Answers

Answer:

13

Step-by-step explanation:

416/96 = 4.33333

416 is 4.333 times 96, so he needs 4.333 times 3 bundles.

4.3333 × 3 = 13

Answer: 13

Answer:

13

Step-by-step explanation:

you see how much it covers initially. (96/3=32) then 416/32=13

an urn contains 6 blue balls and 6 orange balls. in how many ways can we select 2 blue balls and 2 orange balls from the urn?

Answers

The no. of ways to select the 2 blue balls and 2 orange balls from the urn is 0.4545

No. of Blue balls in the urn = 6

No. of Orange balls in the urn = 6

Total no. of balls in the urn = No. of blue balls + No. of orange balls

                                            = 6 + 6

                                           = 12 balls

No. of blue balls to be selected = 2

No. of orange balls to be selected = 2

No. of balls to be selected = 4

The total. no of ways 4 balls can be selected =[tex]^{12}C_{4}[/tex]

The No. of ways 2 blue balls can be selected = [tex]^{6}C_{2}[/tex]

The No. of ways 2 orange balls can be selected =    [tex]^{6}C_{2}[/tex]

Therefore, No. of ways to select 2 blue balls and 2 orange balls from the urn

                      =  [tex]^{6}C_{2} \times ^{6}C_{2} /^{12}C_{4}[/tex]

Probability = No. of ways to select blue balls x No. of ways to select orange balls / Total no. of ways to select balls

                         P = (15×15)/495

                             = 225 / 495

                          P = 0.4545

Therefore,  the no. of ways to select blue and orange balls is 0.4545

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Find the value of x and 3x

Answers

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

now let's consider the white, "cut-out" triangle on the left side.

the purple one angles at the top and bottom corner are 45°.

the withe outer angles at the same corners (they are the inner angles for the white triangle) are complementary angles (together they have 90°) to the purple ones, because due to the equal angles at the top and bottom we know the connection between the 2 45° angles (the white baseline) is at a 90° angle to the 45° to 135° sides.

so the 2 baseline angles of the left white triangle are also 45° (45+45 = 90).

and that means that the third white angle is

180 - 45 - 45 = 90°.

and because a full circle around the 3x° point must have 360° (as any full circle), we know that both angles (90° and 3x°) together are 360°.

360 = 90 + 3x

270 = 3x

x = 90°

3x = 270°

if x is a number in the interval 2 6 state all integers that satisfy the given inequality

Answers

Answer:

it is because I haven't completed the answer from THE WORK OF THE BEST ways to solve a question

Step-by-step explanation:

do I

A regular polygon has 16 sides. If one of its angles measures (5h − 29)°, what is the value of h?

PLEASE I NEED HELP!!

Answers

The interior angles in a polygon add to 180(n - 2) where n is the number of sides
Each angle in a regular polygon is 180(n-2)/n
We know n = 16 so each angle is 180 x 14 / 16
5h - 29 = 180 x 14 / 16
Multiplying both sides by 16 gives
80h - 464 = 2520
80h = 2056
h = 2056 / 80 =25.7

I need to paint a straight face consisting of six panels he has a green red and magenta paint and each panel should be painted with only one color how many ways are there to paint the fence

Answers

There are 20 ways to paint the fence consisting of six panels each with one color out of green, red, and magenta.

There is a total of 6 panels and 3 paint colors and each panel has to be painted with only 1 color.

∴ Total number of panels = 6

Total number of colors = 3 (green, red, and magenta)

To calculate the number of ways to paint 6 panels with one of the 3 colors, the formula of combination is used. Combinations are ways of selecting objects from a group or collections, in a way that the order of the objects does not matter.

The number of ways or the combinations of 6 panels taken with each color out of 3 at a time is given by [tex]^6C_3[/tex]

[tex]^6C_3[/tex] = 6! / [3! (6-3)!]

[tex]^6C_3[/tex] = (6*5*4*3*2*1) / [3*2*1 (3)!]

[tex]^6C_3[/tex] = 720 / (6*6)

[tex]^6C_3[/tex] = 720 / 36

[tex]^6C_3[/tex] = 20

Therefore, 20 combinations are possible to paint 6 panels each with only one color out of green, red, and magenta.

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marjore needs to earn a C in her class. her current test scores are 67,78,75,78 and .her final exam is worth 6 test scores. In order to earn a C marjorties average must lie between 70 and 79 inclusive. What range of scores can marjorie's receive on the final exam to earn a C in the​ course?

Answers

The range of scores that Marjorie's can receive in the final exam to earn a C in the course is 67 to 82  .

in the question ,

it is given that

the Marjorie's score in the tests are 67 , 78 , 75 , 78 .

let the score in the final exam be "x"

it is given that the final exam score is worth 6 test scores , which means

the score in final exam is = 6x

and the total number of tests = 6+4 = 10

given that to get the grade C minimum average is = 70

that is  (67 + 78 + 75 + 78 + 6x)/10 = 70

67 + 78 + 75 + 78 + 6x = 700

298 + 6x = 700

6x = 700 - 298

6x = 402

x = 402/6

x = 67

given that to get the grade C maximum average is = 79

that is  (67 + 78 + 75 + 78 + 6x)/10 = 79

67 + 78 + 75 + 78 + 6x = 790

298 + 6x = 790

6x = 790 - 298

6x = 492

x = 492/6

x = 82

the range of scores is 67 to 82 .

Therefore , The range of scores that Marjorie's receive in the final exam to earn a C in the course is 67 to 82  .

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let nn denote the smallest positive integer that is divisible by both 44 and 9,9, and whose base-1010 representation consists of only 44's and 99's, with at least one of each. what are the last four digits of nn?

Answers

The last four digits of the number nn are 4944

Given that,

Let nn stand for the lowest positive integer that can be represented in base-1010 using only the numbers 44 and 99, with at least one of each. This number must be divisible by both 44 and 9,9.

The last two digits of n must be divisible by 4 for n to be divisible by 4.

So last digits of n will be 44.

And for divisiblity by 9, sum of all digits of n has to be divisible by 9.

As two digits are fixed and their total is 8, next feasible total will be 45 so 9 can be atleast one time in n.

And as statement says n has to be smallest number n will be 4444444944

So last 4 digits of n are 4944.

Therefore, nn's last four numbers are 4944.

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Show all your work!
First find the k= COP x
K=18-12=1.5
X=1.5(10)
Y=1.5 =
y
४/५
es, Show all your work!
y
of
y
First find the k= COP x

Answers

Answer:

Step-by-step explanation:

COP = Constant of Proportionality. • y varies directly to x. > If 10 miles varies directly to 5 minutes,. – then 10 = y and 5 = x. • Unit Rate (1, r). > (x, y).

Which statement is true?

This table does not show a probability distribution.
This table shows a probability distribution.

Answers

After using the probability distribution table, the given table does not show a probability distribution. The statement 1 is correct.

In the given question, we have to check which statement is correct regarding to the given option.

The given statements are:

(1) This table does not show a probability distribution.

(2) This table shows a probability distribution.

Before checking the statement we learn about a probability distribution table.

In a probability distribution table every result of a statistical experiment is connected to the likelihood that the result will actually occur. An experiment's result is recorded as a random variable, which is typically written with a capital letter.

As we can see that there is given the probability of having the blue, green, yellow and red color.

So the given table does not show a probability distribution.

So the statement 1 is correct.

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8. If a population doubles every 5 years, how many years will it take for the population to increase by 10 times
its original amount?
First: If the population gets multiplied by 2 every 5 years, what does it get multiplied by each year? Use this
to help you answer the question.

Answers

After ≈16.61 years the population will increased by  times it's original amount.

What do you mean by population?

A population is the entire set of people in a group, whether that group is a country or a collection of people who share a certain trait. A population is the group of people from which a statistical sample is taken in statistics.

Given: If a population doubles every 5  years.

Assume,  'A' is the starting population, and 't' is the passing time in years.

Given the fact that a population doubles every five years, our population is growing exponentially, as per the question.

Here, the equation can be written as follows: [tex]A(t) = A(2)^{\frac{t}{5} }[/tex]                    (1)

We now need to determine when the population will have multiplied by 10 by that time.

Let's substitute [tex]A(t) = 10A[/tex]  in the above equation.

[tex]10A = A(2)^{\frac{t}{5} }[/tex]

[tex]10 = (2)^{\frac{t}{5} }[/tex]

Taking the natural log of both sides we get:

[tex]ln10 = \frac{t}{5} \times ln2[/tex]                        {[tex]ln(a)^n= nln(a)[/tex]}

2.3025 x 5 = t x 0.6931

[tex]t = \frac{2.3025}{0.6931}\\t = 16.6096[/tex]

Therefore, After ≈16.61 years the population will increased by  times it's original amount.

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an isosceles triangle has a base that measures x 2 with legs that measure 4x - 3 and 2x 5. what is the value of x? an isosceles triangle has a base that measures x 2 with legs that measure 4x - 3 and 2x 5. what is the value of x?

Answers

The value of x is 4 for the isosceles triangle has a base that measures x+2 with legs that measure 4x-3 and 2x+5.

What is an isosceles triangle?

Therefore, an isosceles triangle has two equal sides as well as two equal angles. An equilateral triangle is one in which all of its sides are equal, and a scalene triangle is one in which none of its sides are equal. The characteristics of an isosceles triangle are as follows: There is agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.

Here,

Since the adjacent sides of isosceles triangles are equal,

4x-3=2x+5

4x-2x=5+3

2x=8

x=4

The isosceles triangle has a base that measures x+2 and legs that measure 4x-3 and 2x+5, so x is equal to 4.

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Solve the system of equations by the addition method.
3x + 4y = 7
6x - 4y= 2

Answers

3x + 4y = 7
6x - 4y = 2
* Delete 4y together because they are the same *
=> 9x = 9 * we divide it by 9
x = 1

Which is equivalent to 3√8x?

Answers

It is equivalent to 8^x/3

What is equivalent equations?OBJECTIVES FOR EQUALITY EQUATIONSAfter finishing this section, you need to be able to:Sort an equation into a conditional or an identity category.Mentally solve simple equations.Check to see if some equations are equal.A mathematical equation is a statement that two numerical expressions are equal.Equations go into one of two categories.

acc to our question-

to write a square root into fraction. To do that, you just have to apply the formula :

x^power/root

Then, here it gives . 8^x/3

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750 people go on a coach trip
each coach can hold 55 people
How many coaches are needed

Answers

Step-by-step explanation:

750 people go on a coach trip each coach can hold 55 people How many coaches are needed?

750/55 = 13.636 coaches are needed.

Because you cannot have a partial coach, you round up to needing 14 coaches.

750/55=13.636
You can’t split a coach into pieces, so rounding it up makes 14
You’ll need 14 coaches

how many 44-digit positive integers (that is, integers between 10001000 and 99999999, inclusive) having only even digits are divisible by 55?how many 44-digit positive integers (that is, integers between 10001000 and 99999999, inclusive) having only even digits are divisible by 55?

Answers

There are 100 4-digit positive integers are possible between 1000 and 9999.

Our first step is to divide the four digit number into four places: tens, hundreds, and thousands.

To solve this problem, we must start from the right-hand side and find how many even numbers should be placed where the desired answer can be obtained.

There are a total of [0, 2, 4, 6, and 8] objects

There should only be one digit on one place, since it is the only digit that makes the number divisible by five

There are 1 ways to fill the one's place, so the total number is 1.

It is possible to take any number from the given sets of even numbers in the tens place,

There are five ways to fill one place, so there are five ways to fill it.

Taking a look at the hundreds place,

All numbers can be placed in the hundreds place from the given sets, so all numbers can be taken from the hundreds place.

Therefore, there are five ways to fill the hundreds place.

Taking a look at the thousands,

It is possible to fill thousands of places with 4 numbers from a given set of even numbers.

Therefore, there are four ways to fill the thousands place

The next step is to use the concept of factorial to find the number of ways to make a 4-digit number from even numbers that are divisible by 5.

To fill the respective places, we will multiply all the ways we calculated

= 4 × 5 × 5 × 1

= 100

Hence, there 100 4-digit positive integers possible.

Question

how many 4-digit positive integers (that is, integers between 1000 and 9999, inclusive) having only even digits are divisible by 5?

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how do i solve 1) −10+ r = 3+r-7

Answers

Answer: No Solution

Explanation: 10 + r = 3 + r - 7

Combine like terms: 10 + r = -4 + r

Subtract R to both sides: 10 = 4

There is NO SOLUTION

PR is a chord of a circle Center 0 and radius 20CM - POR = 120° calculate (a) length of the Chord PR (b) length of are PQR ​

Answers

Answer:

i have the similar question just radius is changed frm 12 to 20 cm..

hopefully this will help u ...^⁠_⁠^

help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3

The quadratic function is given by

f(x) = [tex]-3(x+2)^2[/tex] + 1

The vertex form of the quadratic function is

f(x) = [tex]a(x-h)^2[/tex] + k

Where (h, k)  is the coordinates of the vertex

x =  h is the axis of symmetry

Compare the given function and the vertex form of the quadratic function and find the value of the each term

The value of h = -2

The value of k = 1

The coordinates of the vertex = (-2, 1)

The axis of symmetry is at x = h

h = -2

Draw the graph using the details

Hence, the the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3

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Which of the following rational functions is graphed below?

Answers

Answer:

C

Step-by-step explanation:

In the graph, you can see an asymptote is happening for x=-5, so look for an equation that divides by 0 for x=-5. That is clearly C, for x=-5 the denominator is 0.

Can anyone write the equation this graph?

Answers

The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.

What is the Equation of the Graph of an Absolute Value Function?

The equation, in vertex form, of a absolute value function is expressed as y = a|x – h| + k, where:

(h, k) = vertex of the graph a = this value determines if the graph opens up or opens down.h = horizontal translation factork = vertical translation factor

From the graph, we know that:

Vertex (h, k) = (3, 5)

Substitute h = 3 and k = 5 into the equation, y = a|x – h| + k:

y = a|x - 3| + 5

A point on the graph is (5, 7). To find the value of a, substitute x = 5 and y = 7 into the equation y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 = 2a + 5

7 - 5 = 2a + 5 - 5 [subtraction property of equality]

2 = 2a

Divide both sides by 2

2/2 = 2a/2 [division property of equality]

Substitute a = 1 into y = a|x - 3| + 5:

y = |x - 3| + 5 [equation of the absolute value function]

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y≥x²+2x-8 factor the quadratic equation to find x intercepts

Answers

The factors of the quadratic equation are x≥-4, x≥2 and lies in the interval (-∞, -4]∪[2, ∞)

What is meant by quadratic equation?

A quadratic equation is any equation that can be rearranged in standard form as ax²+bx+c=0 where x represents an unknown value and a, b, and c represent known numbers. In general, a = 0; equations with a = 0 are considered degenerate because the equation becomes linear or even simpler. The numbers a, b, and c are the equation's coefficients, and they can be distinguished by referring to them as the quadratic coefficient, linear coefficient, and constant or free term, respectively.

To find x-intercept y=0

y≥x²+2x-8

x²+2x-8≥0

x²+4x-2x-8≥0

x(x+4)-2(x+4)≥0

(x-2)(x+4)≥0

∴x≥-4, x≥2

∴(-∞, -4]∪[2, ∞)

Therefore, the factors of the quadratic equation are x≥-4, x≥2 and lies in the interval (-∞, -4]∪[2, ∞)

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Find the slope of the line that passes through the pair of points (8, −2), (1, 1)

Answers

The slope of the line that passes through the given pair of points is, -3/7.

What is slope of the line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tanθ.

Given: (8, -2), (1, 1)

Since, if two points [tex](x_1, y_1), (x_2, y_2)[/tex] are given then slope (m) is defined as,

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex].

Here,

[tex](x_1, y_1) = (8, -2)\\(x_2, y_2)=(1, 1)[/tex]

So, the slope can be defined as,

[tex]m = \frac{1-(-2)}{1-8} \\m=\frac{3}{-7} \\m=-\frac{3}{7}[/tex]

Hence, the slope of the line that passes through the given pair of points is, -3/7.

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arceus x is on its way btw let's gooo ps. i need help

Answers

The number of pages read by her will be 36.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Marion read 616 pages in 14 days, The number of pages each day will be calculated as,

N = 616 / 17

Divide the number 616 by 17,

N = 36.23

N = 36

Therefore, the number of pages read by her will be 36.

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Solve the following problems using the concept of multiples. Justify your work with a table.
3. María is shopping for party supplies. She finds that paper plates come in packages of 8,
napkins come in packages of 10, and paper cups come in packages of 12. What is the
least number of packages of plates, napkins, and cups she has to buy so that she
has the same number of each item for her party?
8
10
4. For the month of November, Jaime plays basketball every other day and he goes to sc
practice every four days.
If he starts on November 2 on what days will he do both sports?

Answers

For Maia's birthday celebration, the bare minimum amount of packets of plates, napkins, and cups she needs to purchase is 15, 12, and 10, respectively.

What is a Fraction?A portion of a whole is referred to as a fraction. such as 0.25 can be used to describe the fraction 1/4.Given that paper plates, napkins, and cups are sold in quantities of eight, ten, and twelve each, respectively, Therefore, we need to take the LCM of the following in order to determine how many packets of plates, napkins, and cups Maria needs to purchase in order to have the same quantity of each item for her birthday celebration.

acc to our question-

LCM of 8, 10, and 12 = 120Now, the number of packages,Hence, the least number of packages of plates, napkins, and cups Maia has to buy so that she has the same number of each Item for her birthday party is 15, 12, and 10, respectively.

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Other Questions
solve for the variable in 7/26=25/x A store manager instructs some new trainees that a barbecue grill priced at $700 winds up costing a customer $714 once the sales tax is included. What is the sales tax percentage?Write your answer using a percent sign (%). Which equations represent the line that is perpendicular to the line 5x 2y = 6 and passes through the point (5, 4)? Select three options.y = Two-fifthsx 22x + 5y = 102x 5y = 10y + 4 = Two-fifths(x 5)y 4 = Five-halves(x + 5) Logan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $18 for the initial consultation and then $88 per session. Another plan is to charge $39 for the consultation and $87 per session. Logan realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that? Which of the following points has a distance of 3 from the point (-7, 4?) 1. (10, 4)2. (-7, -1)3. (-10, 4)4. (4, 4) 15. What goes in the box for the following fusionequation?2 H + 2 H > (__) + energy 1. 1 as she performed a midsummer night's dream on opening night, moira felt her brothers' presence without even seeing him in the back of the auditorium Your task is to choose one of the characters whom you haveencountered in the stories taken in this quarter, (Never, Never Nest &The Gift of the Magi, The Necklace). You are going to introduce yourself as that character. Tell about yourcharacter, your role, your importance in the story. On the last part,tell the audience how you want the story to end if youll have ityour way.PA HELP PO PLS a short story includes a character who accomplishes amazing and, at times, unexpected, feats. in one paragraph, the character is described as a modern-day hercules. hercules was a greek hero who achieves twelve seemingly impossible tasks. what type of allusion does the author include What is the bible's explanation for why we're stuck ina world of corruption and injustice and the tragedy ofdeath? which multiplication table have 8 and 50 a moving hammer hits a nail and drives it into a wall. if the hammer hits the nail with four times the speed, how much deeper will the nail be driven? (assume that all of ke goes into work) Climate activists in europe again threw food at fine art in protest of fossil fuels. What was splattered on glass protecting a monet painting?. after being reported by a committee, but before being sent to the house floor, bills are sent to which committee, which defines the conditions under which the bill is to be considered by the house? Sharon's volleyball coach wants everyone on her team to find their maximum resting heart rates. She can find her maximum heart rate right now by subtracting her age from 220. When would be BEST for Sharon to find her resting heart rate? Question 7 options: A. at the next track meet B. in the morning when she first wakes up C. right now during track practice D. after she runs briskly for one mile Barbara borrows $4,500 at 12 percent annually compounded interest to be repaid in four equal annual installments. The actual end-of-year payment is i need help like immediately 1/4 (8x+4)=2x-4 ______ are important because they provide utilities to consumers and have a significant positive impact on the economy. state: how heavy a load (in pounds) is needed to pull apart pieces of douglas fir 4 inches long and 1.5 inches square? data from students doing a laboratory exercise are given. what violent strike between 1891-93 began when the company attempted to use convicts to replace free labor in east tennessee mines?