A chef bought 3 bags of beans. Each bag contains kilograms of beans. How
many kilograms of beans did she buy?

Answers

Answer 1

The chef bought a total of 4 1/5 kilograms of beans.

How many kilograms of beans did she buy?

Number of bags of beans the chef bought= 3

Quantity of beans in each bag = 1 2/5 kilograms

Total kilograms of beans bought by the chef= Number of bags of beans the chef bought × Quantity of beans in each bag

= 3 × 1 2/5

= 3 × 7/5

= 21/5

= 4 1/5 kilograms of beans

Ultimately, the chef bought 4 1/5 kilograms of beans.

Complete question:

a chef bought 3 bags of beans. Each bag contains 1 2/5 kilogram of beans. How many kilograms of beans did she buy?

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Related Questions

Luis compro un refrigerador de 7827.40 si va a pagar el 15%IVA ¿cuánto le cobraron en total?​

Answers

Luego de el 15% de iva, el precio será 9001.51

¿Cuánto le cobraron en total?​

Si le aplicamos un incremento de un porcentaje x a un precio P, entonces el nuevo precio será:

P' = P*(1 + x)

Donde x es el porcentaje en forma decimal.

En este caso tenemos un 15% de IVA, entonces x = 0.15

Y el precio original es 7827.40

Entonces el nuevo precio será:

P' = 7827.40*(1 + 0.15) = 9001.51

Esa es la cantidad que Luis pago.

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The box plot shows the times for sprinters on a track team.

A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 41, 43, 49.5, 56, and 58 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.

Which value does 50% of the data lie above, and what is it called?

58, the median
56, the upper quartile
43, the lower quartile
49.5, the median

Answers

The 50% of the data lies above is 49.5. it is called the median.

What is the upper quartile?

Assume that Q₃ represents the upper quartile, which is the median of the data set's upper half. In contrast, Q₁ represents the median and lower quartile of the lower half of the data set. The median is Q₂. Consider a data set that contains n items. The quartiles are then provided by:

Q₁ = [(n+1)/4]

Q₂ = [(n+1)/2]

Q₃ = [3(n+1)/4]

this item

The 50% of the data is median.

The formula of median is

(n+1)/2 th term

The given data is 41, 43, 49.5, 56, and 58.

The number of items is n = 5.

The median of the data is (5+1)/2 the term = 3rd term.

The third term of the data is 49.5.

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n the blanks below.
Find the slope of the line passing through the points (8, -4) and (8, -7).
slope:
Find the slope of the line passing through the points (-3, -9) and (-3, 9).
slope:

Answers

The slope of the line passing through the points (8, -4) and (8, -7) is undefined.

The slope of the line passing through the points (-3, -9) and (-3, 9) is undefined.

How to calculate the slope of a line?

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (-7 - (-4))/(8 - 8)

Slope, m = (-7 + 4)/0

Slope, m = -3/0

Slope, m = undefined.

Since the change in the x-axis equals to zero, the slope of the two lines are undefined:

Slope, m = (9 - (-9))/(-3 - (-3))

Slope, m = 18/0

Slope, m = undefined.

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There are marbles of four different colors in a bag. The
ratio of red to white to blue marbles is 3:4:5. There are half
as many green marbles as there are blue marbles. What is
the least possible number of marbles in the bag?
(A) 12
(B) 24
(C) 29
(D) 58

Answers

Answer:

(C) 29

Step-by-step explanation:

Please help me. I'll give brainliest.

Answers

Answer: The final balance is $11,015.84.

The total compound interest is $3,845.84.

At sunrise the distance from the top of the Great Sphinx in Egypt to the end of its shadow is measured to be 220 ft. The distance from the top of the head of a 6 ft-tall person who is standing next to the Sphinx to end of their shadow is measured to be 20 ft. How tall is the Great Sphinx? 100 points + brainliest
70.0 ft
66.0 ft
733.3 ft
54.5ft

Answers

Answer:

132ft

Step-by-step explanation:

The height of the Great Sphinx can be found by using the relationship between the height of an object, the length of its shadow, and the angle of elevation of the sun.

Let h1 be the height of the Great Sphinx and h2 be the height of the person. We know that the length of their shadows are 220 ft and 20 ft, respectively.

Since the sun is at the same elevation for both objects, we can set up the following proportion:

h1/220 = h2/20

Cross multiplying, we get:

h1 = (h2 * 220) / 20

Plugging in h2 = 6 ft, we get:

h1 = (6 * 220) / 20 = 132 ft

So, the height of the Great Sphinx is approximately 132 ft.

Thus, the correct answer is 132 ft, which is not in the options provided, but it is a reasonable estimate of the height of the Great Sphinx.

Neeed help!!!!!!!!!!!!!!

Answers

An area of a rectangle is 32x¹²y⁹ square inches and the length is 8x⁴y³ therefore the expression which represents the width of the rectangle in inches is 4x⁸y⁶.

What is a Rectangle?

This is referred to as a quadrilateral with four right angles.

Area of rectangle = Length × width

Width = Area/ Length

       =   32x¹²y⁹  /  8x⁴y³

        = 4x⁸y⁶

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PLEASE HELP I WILL GOVE BRANLIST IF ITS RIGHT. Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.
List 1 List 2 List 3 List 4
Which list gives the sample of space for pulling 2 marbles from the bag with replacement

Answers

The sample space for pulling 2 marbles  to find the probability will be List 3.

What exactly is probability?

Probability conveys how likely an event is to occur. The occurrence of a random event is the focus of this mathematical field of study. The value is in the zero to one range. Mathematicians use probability to predict the likelihood that certain events will take place.

The possibility of something happening is referred to as probability. The probability distribution also utilises this basic concept from probability theory. We must first ascertain the total number of possibilities before calculating the likelihood of a specific event.

The proportion of favourable outcomes to all possible outcomes, or P(E), determines the likelihood that an event will take place.

Now,

Given that Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.

So no. of ways to pick first ball = 3

as there are three type of balls

and no. of ways to pick second ball= 3 as replacement is allowed.

Therefore total sample space = 3*3=9

Hence,

         The sample space for pulling 2 marbles will be List 3.

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on sundays tucker pickes up donuts for his family.he take $25 with him and a box of dozen donuts cost $6.50 fill in the equation thats represent the relationship between how much money tucker brought and how many boxes of donuts (d) he can buy

Answers

The number of boxes of donuts he can buy is 3.

What is an expression?

An expression contains two variables or numbers with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

A box of dozen donuts costs = $6.50

Amount taken = $25

The number of boxes of donuts he can buy.

= 25 ÷ 6.50

= 3.85

Thus,

The number of boxes of donuts he can buy is 3.

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what is the solution set to the inequality -4x - 2 ≤ - 14

Answers

Answer:

x[tex]\geq[/tex] 3

Step-by-step explanation:

-4x -2 ≤ -14
-4x ≤ -12
x ≥ 3

Explanation:

Move the constant to the right-hand side and change its sign: -4x<_ -14+2

Calculate the sum: -4x<_-12

Divide both sides of the inequality by and flip the inequality sign: x>_3

The given tessellation formed by two or more regular polygons is shown.

Answers

Square , triangle and hexagon are  the type of regular polygons that surround each vertex.

The angles are 60° , 90° , 90° , 120° .

From the given figure , it can be concluded that ,Square , triangle and hexagon are  the type of regular polygons that surround each vertex.

Since , at each vertex they are one triangle , two squares and one hexagon therefore we can say that

The number of angles are 60° , 90° , 90° and 120°.

The tessellation is possible because the sum of measures of all angles that come together at the vertex is 360°

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Location Number Percent
Illinois 669,000 24%
Indiana 419,000 27%
Iowa 141,000 20%
Kentucky 307,000 31%
Michigan 556,000 26%
Missouri 352,000 26%
Ohio 678,000 26%
Wisconsin 266,000 21%
a. Use Excel functions to find the mean, median, mode, maximum, and minimum descriptive statistics for
the number column of the table. Clearly label these values in Excel.
b. Use Excel functions to find the mean, median, mode, maximum, and minimum descriptive statistics for
the percent column of the table.
c. Write a paragraph about your findings regarding the statistics on children whose parents do not have
secure employment. Make sure to answer the following in your paragraph: How does the state of
Indiana compare to the surrounding states? Which state has the best or worst data (explain your
reasoning)? Which value gives a better comparison, the number or the percentage (explain your
reasoning)?

Answers

Answer:  I can explain the steps for calculating descriptive statistics for the given data.

For the "number" column:

Mean: To find the mean, add up all the values and divide by the number of values.

Median: To find the median, arrange the values in numerical order and find the middle value. If there is an even number of values, take the average of the two middle values.

Mode: To find the mode, find the value that appears most frequently. If there is no value that appears more than once, then there is no mode.

Maximum: To find the maximum, find the largest value in the list.

Minimum: To find the minimum, find the smallest value in the list.

For the "percent" column:

Mean: To find the mean, add up all the values and divide by the number of values.

Median: To find the median, arrange the values in numerical order and find the middle value. If there is an even number of values, take the average of the two middle values.

Mode: To find the mode, find the value that appears most frequently. If there is no value that appears more than once, then there is no mode.

Maximum: To find the maximum, find the largest value in the list.

Minimum: To find the minimum, find the smallest value in the list.

Regarding the statistics on children whose parents do not have secure employment, it can be determined how each state compares to the surrounding states by comparing the mean, median, and mode of the "number" and "percent" columns. The state with the best or worst data can be determined by comparing the maximum and minimum values in each column. The value that gives a better comparison would depend on the purpose of the analysis. If the goal is to understand the overall number of children affected, then the "number" column would be more appropriate. If the goal is to understand the proportion of children affected in each state, then the "percent" column would be more appropriate.

Step-by-step explanation:

What is the exact measure of an angle whose measure is 18° in radians?

pi over 18
18π
pi over 10
pi over 5

Answers

The exact measure of an angle whose measure is 18° in radians is; pi over 10.

What is the radian measure of 18°?

Recall, it follows from angle measurements that;

π radians ==== 180°

Hence, it follows from proportion that the measure of 18° in radians, x can be determined as follows;

x = 18 π radians / 180

x = π / 10 radians.

Ultimately, the required measure of 18° in radians as required is; π / 10.

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One model of cars comes with 4 choices
of audio systems, 2 choices of roof
styles (with or without moon roof), and
3 choices of seat covers (cloth, vinyl, or
leather). How many different car
ala
models does a customer have to choose
from if the customer can choose one
10
type of audio system, one style of roof,
and one type of seat cover

Answers

A customer has 4 x 2 x 3 = 24 different car models to choose from if the customer can choose one type of audio system, one style of roof, and one type of seat cover.


Find a polynomial function of degree 4 with the zeros -3 (multiplicity 2) and 3 (multiplicity 2), whose graph passes through the point (-4,245).

Answers

The polynomial function of degree 4 is,

⇒ f (x) = 5 (x + 3)² (x - 3)²

What is mean by Function?

Relation between set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable and another variable.

Given that;

Zeroes of function is,

⇒ -3 (multiplicity 2) and 3 (multiplicity 2),

And, It passes through the point (-4,245).

Now, The polynomial function of degree 4 is,

⇒ f (x) = A (x - (- 3))² (x - 3)²

⇒ f (x) = A (x + 3)² (x - 3)²

Since, It passes through the point (-4,245).

Hence, Put x = - 4, y = 245

⇒ 245 = A (- 4 + 3)² (- 4 - 3)²

⇒ 245 = A (- 1)² (- 7)²

⇒ 245 = A × 49

⇒ A = 245/49

⇒ A = 5

Thus, The polynomial is,

⇒ f (x) = A (x + 3)² (x - 3)²

⇒ f (x) = 5 (x + 3)² (x - 3)²

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The dimensions of a rectangular pyramid are shown.



6, feet. 8, feet. 4, feet.



What is the volume of this rectangular pyramid in cubic feet?

Answers

The volume of the rectangular pyramid is 64 cubic feet.

What is a rectangular pyramid?

A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.

The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.

The volume of a rectangular pyramid is given as:

V = (l)(b)(h) / 3

V = (6)(8)(4) / 3

V = 192 / 3

V = 64 cubic feet.

Hence, the volume of the rectangular pyramid is 64 cubic feet.

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The correct question is:

I am equivalent to. The sum of my numerator and my denominator is 30. The difference between my denominator and my numerator is 6. What fraction am i?.

Answers

If I am equivalent to 3/2, and sum of my numerator and my denominator is 30. Then, i am a fraction is equals to the 18/12.

I am equivalent to 3/2. Let us assume i am a fraction x/y. That is my denominator of fraction = y

My numerator of fraction = x

Now, according to problem, sum of my numerator and my denominator is 30.

=> x + y = 30 --(1)

Also, difference between my denominator and my numerator is 6.

=> y - x = 6 or -y + x = 6 --(2)

Add eqution(1) and (2)

=> x + y + y - x = 30 + 6 or x + y +x - y = 30 + 6

=> 2y = 36 or 2x = 36

=> y = 36/2 or x = 36/2

=> y = 18 or x = 18

Now, when y = 18 => x = 30 - 18 = 12

similarly, x = 18 , => y = 12

so, possible fraction are 12/18 = 2/3 or 18/12 = 3/2, but my fraction is equivalent to 3/2 not 2/3. Therefore, the required fraction is 18/12

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Complete question :

I am equivalent to 3/2 . The sum of my numerator an my denominator is 30 . The difference between my denominator and my numerator is 6 . What fraction am I?

Point Q is located at (−6,−1) on the coordinate plane. Point Q is reflected over the x-axis to create point Q' Point Q' is then reflected over the y-axis to create point Q'' What ordered pair describes the location of Q''?

Answers

Answer:

(6, 1)

Step-by-step explanation:

When a point is reflected over the x-axis, its y-coordinate changes sign. When a point is reflected over the y-axis, its x-coordinate changes sign.

So, when point Q, located at (-6,-1), is reflected over the x-axis to create point Q', the new point has the same x-coordinate and a y-coordinate of -1 to 1 = 1. So, Q' is located at (-6, 1).

Next, when Q' is reflected over the y-axis to create Q'', the new point has the same y-coordinate and an x-coordinate of -6 to 6 = 6. So, Q'' is located at (6, 1).

So, the ordered pair that describes the location of Q'' is (6, 1).

Determine the type of triangle that is drawn below.

Answers

Answer: Scalene Right

Step-by-step explanation:

None of the side lengths are equal and there's a 90 degree angle

An angler catches a fish that weighs 20 kg. The fish’s bones make up approximately 10% of the fish’s total weight. What is the weight of the fish meat, not including the bones, in pounds? Round to the nearest tenth if necessary.

44.0
40.0
39.6
4.4
4.0

Answers

Answer: approximately 40lbs.

Step-by-step explanation:

First, you multiply 20kg to 10%, or 0.10.

20(0.10)=2kg

Then you minus the 2kg from the initial weight

20kg

-2kg

18kg

1 kg is approximately 2.20462262 lbs., so you need to convert your kg to lbs

18kg * 2.20462262 lb/kg = 39.68320716 which is rounded up to approximately 40lbs

Hope that helps!

division resultado
de residuo sea 400​

Answers

A division problem that would lead to a division remainder of 400 is 2, 400 ÷ 500.

How to find the division problem ?

You need to find a division problem where the quotient would be such that there would be a remainder of 400.

In that case, the first thing to do is to ensure that the divisor is greater than 400. If it is less, then the remainder cannot be 400.

We can the pick the next hundred after 400 which would be 500. Then, we need to find a number that when divided by 500, would result in 400 as a remainder.

This can be 900, 1, 400, 1, 900, 2, 400 etcetera.

The trick is to ensure that the number is 400 more than a multiple of 500.

Picking 2, 400, the division is therefore:

= 2, 400 ÷ 500

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The circle below is centered at the origin and has a radius of 8. What is its
equation?

Answers

The equation of a circle centered at the origin that has a radius of 8 is: D. x² + y² = 64.

What is the equation of a circle?

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

h and k represents the coordinates at the center of a circle.r represents the radius of a circle.

Substituting the given points into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = 8²

x² + y² = 64.

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Drag each tile to the correct box.
Put the numbers in order from greatest to least.
3.406
V
305
100
A
99 X
100

Answers

The order of the numbers from greatest to least are 3.406 > 305 / 100 > 99 × 1/100

What is descending order?

Descending order refers to the arrangements of numbers from the greatest to the least.

On the other hand, ascending order is the arrangement of numbers from the least to the greatest.

3.406

305 / 100

= 3.05

99 X 1/100

= 99 × 0.01

= 0.99

Therefore, the arrangements from greatest to least is 3.406, 305 / 100, 99 × 1/100

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A function is given.
g(x) = 1 −
3
4
x; x = −4, x = 3
(a) Determine the net change between the given values of the variable.


(b) Determine the average rate of change between the given values of the variable.

Answers

On solving the provided question, we can say that the function is

and f(-2) = -13 and f(0) = 3

What is function?

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

the function is

= 3 -  4(4)

= 3 - 16

=-13

= 3 - 4(0)

= 3 - 0

= 3

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Solve the system by substitution.
y = 5x
y = 4x + 9

Answers

(9, 45)

attached is the explanation!

Homer places a toy rocket on the ground of his backyard, When Homer turns it on, he moves 8 meters away from it. Five seconds after the rocket is launches, Homer can see the rocket from a 75° angle of elevation while he is standing up. If Homer is 1.8 meters tall, how high is the rocket?

Answers

Answer:

Step-by-step explanation:

To find the height of the rocket, we can use the tangent function. We know the angle of elevation (75°), the height of Homer's eyes (1.8 meters), and the distance from Homer to the rocket (8 meters), so we can use the formula:

tan(angle) = height / distance

We'll solve for the height:

height = distance * tan(angle)

height = 8 * tan(75°)

However, we need to convert the angle from degrees to radians first, as the tangent function operates in radians. We can use the formula:

radians = degrees * (π / 180)

radians = 75° * (π / 180) = 1.309 radians

Now, we can substitute the value for the angle in radians back into the original equation:

height = 8 * tan(1.309)

Using a calculator, we can find that the height is approximately 15.57 meters.

So, the height of the rocket is approximately 15.57 meters.

PLEASE HELP

Draw a pie chart for the given data:
Rugby Team
England
France
Ireland
Scotland
Wales
Frequency
20
5
15
25
25

Answers

Step-by-step explanation:

you draw a circle ⭕ then you do lines inside the circle the you write the numbers aside

Please help with this question I can’t seem to solve it

Answers

Answer:

X    Y

0    0

2   -3

Step-by-step explanation:

The slope should look like this photo.

Your friend begins to divide the numerator and denominator
12
by 4 and then gets stuck. Explain why your friend gets stuck.

Answers

Answer:

maybe your friend gets stuck because youre not supposed to divide the denominator, only make a common one by multiplying one or both untill they are the same. Least common multiples

Simplify imporper fractions as mixed number 14 1/4 -10 3/7 =

Answers

The value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex] is 107/28.

What is Fraction?

A fraction represents a part of a whole.

The given expression is [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

A proper fraction is a fraction that has no whole number part and its numerator is smaller than its denominator.

An improper fraction is a fraction that has a larger numerator than denominator and it represents a number greater than one.

[tex]14\frac{1}{4}[/tex] to improper fraction is 57/4

[tex]10\frac{3}{7}[/tex] to improper fraction is 73/7

Now 57/4-73/7 we have to solve

LCM of 4 and 7 is 28

399-292/28

107/28

Hence, 107/28 is the value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

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Other Questions
Recall that your chambers had a set amount of CO 2 entering each chamber and then you measured how much CO 2 was exiting the chamber. Suppose you conducted your experiment and discovered one of your chambers had a lower in-flow of air relative to the other chambers. What would this do to your data in that chamber?a. It would not change the results.b. It would bias the results toward more respiration. c. It would bias the results toward less photosynthesis.d. It would bias the results toward more photosynthesis. To figure out what type of tests you are best at, you shoulda. Ask your teacher for their professionalc. Ask more questions in classopinionb. Write down your test grades after each test d. Create study guides that reflect any type ofand compare themquestion that might be on a test Consider the quadratic function f(x) = x2 5x + 12. Which statements are true about the function and its graph? Select three options.The value of f(10) = 82The graph of the function is a parabola.The graph of the function opens down.The graph contains the point (20, 8).The graph contains the point (0, 0). as far as a department manager s visibility and availability to employees are concerned, it is the employees perception that prevails rather than the manager s actual visibility and availability. (t) 3. According to the Law of Superposition, in undisturbed, horizontal, sedimentary rock layers, the oldest layer is at the bottom. Each higher layer is younger than the rocks below it. Why is it important that the rock layers be undisturbed? SC.7.E.6.3A. If the rock layers are disturbed, the absolute age of the rocks will changeB. If the rock layers are disturbed, certain layers may be missing or relocatedC. If the rock layers are disturbed, the Law of Superposition is proven wrongPlease explain why you chose this What chemical is KOH? Calculate it's molar mass, showing your work Equation 1: 2x - 5y = -8Equation 2: 4x + 5y = 14Emily solved the system of equation above using the Elimination Method. Shemultiplied equation 1 by a number, then added the resulting equationstogether to eliminate the variable . What number did Emily multiply equation1 by so that she could eliminate the x terms? What is the area of this shape?8m6m10m5m In the late 1700s, which situation in France is considered a cause of the other three What is the acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m? Find the value of the following expression and round to the nearest integer:Answer:53900(1.04)"+1n=1 What is the common ratio of the geometric sequence shown? -2,4,-8,16,. . . a substance which has both polar and non-polar portions of the molecule is likely to have some tendency to dissolve in both polar and non-polar solvents. called which of the following are symptoms of social phobia? select all that apply. fear of being in public where others will judge them fear of using a public restroom fear of speaking in front of others fear of not being able to get out of a public place fear of being in crowds Jada filled their family pool with 300 gallons of water in 10 hours. How many gallons of water did she use, per hour? What is A C please help 11) Scientists studied the growth rates of two types of the flu virus. The growth rate of the first virus is modeled by the equation y = P * 3 ^ x where P is the number of people initially infected with the virus in a given population. The growth rate of the second virus could be modeled by v = P * 9 ^ x The growth rate of the second virus could be expressed as P * 3 ^ k What is the value of k? Show the work that gives your solution method. y = Whats the correct answer answer asap for brainlist Manufacturing a shoe manufacturer spends $2. 50 to make sandals and $4 to make running shoes. During a typical month, they spend $2500 manufacturing sandals and running shoes. During the month of april, they double the pairs of sandals manufactured and spend a total of $3000. Please help I dont understand this One of the ions missing from this simulation is chloride (Cl-) because it is not directly involved in creating an action potential. Chloride ions purpose is to regulate resting membrane potential by minimizing accidental neuron stimulation, thus triggering an action potential. Why would this be important for the maintenance of neuron homeostasis?