6 people equally shared 56 gummy worms how many worms do each person get

Answer:

$963

Step-by-step explanation:

900 times 1.07=963

Answer:

? what do you mean by graph?

Step-by-step explanation:

Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.

To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.

The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:

Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).

Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.

Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.

If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.

In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.

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The area of the region inside the circle (x−1)^2+y^2=1 and outside the circle x^2+y^2=1  is 4.

The area of the region inside the circle (x−1)^2+y^2=1 and outside the circle x^2+y^2=1 can be calculated using polar coordinates.

The equation of the inner circle in polar coordinates is r_1^2=1+2cosθ and the equation of the outer circle in polar coordinates is r_2^2=1.

The intersection points of the two circles can be found at θ=±π/3.

The area of the region can be calculated using the integral:

Area=∫_π/3^-π/3 (1+2cosθ)dθ=(2+4sinθ)|_π/3^-π/3=(2+4sin(-π/3))-(2+4sin(π/3))=4.

Therefore, the area of the region is 4.

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Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Answer:

Step-by-step explanation:

ANSWER

• BD = c * sin(A)

• BD = c * cos(B)

• BD = AD * tan(A)

• BD = AD/tan(B)

EXPLANATION

We have to use trigonometric ratios for triangle ABD, so we can ignore triangle BCD for now,

Side BD is opposite to angle A, and side AB is the hypotenuse of the triangle. If we write the sine of A,

Solving for BD, and replacing AB by its length c,

Also, side BD is the adjacent side to the angle B, so we can also use the cosine of B,

Solving for BD,

Then, we could use the tangent of A,

Solve for BD,

Or the tangent of B,

Solving for BD,

Answer:

Step-by-step explanation:

Apparently, these sets represent sales of existing homes. Then (values of) the homes sold in 2010 are those listed in set B.

The English wording "West and Midwest" doesn't actually mean homes that are categorized as both West and Midwest. There aren't any such homes, because these sets are mutually exclusive. That wording logically means "West or Midwest", so would represent the union W ∪ M.

Then the homes in W∪M that were sold in 2010 will be ...

  B ∩ (W ∪ M) . . . . . matches the 3rd choice on the list

_____

The "cardinality" of a set is the number of elements in the set. Since the sets B and W and M are not shown, we cannot tell the cardinality.

Here, that word is apparently intended to mean the sum of the numbers designated as W and as M. For 2010, we have W=1.2, M=1.1, so ...

  for 2010, W +M = 1.2 +1.1 = 2.3 . . . million

Answer:

Without them, there would have been no United States of America.

The Founding Fathers, a group of predominantly wealthy plantation owners and businessmen, united 13 disparate colonies.

They fought for independence from Britain and penned a series of influential governing documents that steer the country to this day.

All the Founding Fathers, including the first four U.S. presidents, at one point considered themselves British subjects.

But they revolted against the restrictive rule of King George III outlining their grievances in the Declaration of Independence, a powerful call for freedom and equality.

They won a stunning military victory over what was then the world’s preeminent superpower.

Based on equations, Angus worked 6 hours on Saturday and 10 hours at his after-school job last week earning a total of $127.80.

The hourly rate at Angus' Saturday job = $8.80

The hourly rate at Angus' after-school job = $7.50

The total earnings last week = $127.80

Let the hours Angus worked at Saturday job = x

Let the hours Angus worked after-school = 4 + x

The total hours worked = x + x + 4

2x + 4

The total earnings last week 127.80 = 8.8x + 7.5x + 4 (7.5)

127.80 = 8.8x + 7.5x + 30

127.8 - 30 = 16.3x

x = 6 hours

x + 4 = 10 hours

2x + 4 = 16 (12 + 4)

Check:

Earnings at Saturday job = $52.80 ($8.80 x 6)

Earnings at after-school job = $75.00 ($7.50 x 10)

Total earnings = $127.80

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Answer:

5572.5 or 5573 inches

Step-by-step explanation:

First of all, the formula is 4/3(pi)r^3

So 4/3(3.14)11^3

So then 5572.5 or 5573 inches

a) The type of function that can be used to describe the value of each house is:

b) The functions that define the value of each house are given as follows:

For House 1, the change each year is a percentage, as follows:

312519.92/303417.30 = 303417.30/294580 = 1.03.

Hence, considering the initial value of $294,580, the exponential function is defined as follows:

H1(x) = 294580(1.03)^x.

For House 2, the change each year is a fixed amount, as follows:

313,000 - 304,000 = 304,000 - 295,000 = 9,000.

Hence, considering the initial value of 295,000, the linear function is defined as follows:

H2(x) = 295,000 + 9,000x.

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The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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Answer:

h≈2.12

Radius =9

volume = 180

Step-by-step explanation:

\(v=\pi r^{2} \frac{h}{3}\)

h=3V  / πr2=3· 180  / π·9^2 ≈ 2.12207

For Serenity's lemonade recipe, the lemons being used per cup of lemonade is 0.8

Ratio is a comparison of two quantities that are expressed in relation to each other. Ratios are typically expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing the other quantity.

To find the rate at which lemons are being used in lemons per cup of lemonade, we need to calculate the ratio of lemons used to cups of lemonade.

According to the recipe, 4 lemons are required to make 5 cups of lemonade. So the rate of lemons used is:

4 lemons / 5 cups = 0.8 lemons per cup of lemonade

This means that for every cup of lemonade, 0.8 lemons are used.

Alternatively, we can also express this rate as a fraction, which gives us:

0.8 lemons / 1 cup of lemonade

Either way, the rate of lemons used is 0.8 lemons per cup of lemonade.

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It will take 5.189 hours to get doubled the size of Sample.

A relation of the form y = \(a^x\), with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

Given:

Growth rate = 5.8%

The continuous exponential growth model for populations is given by:

P(t)= \(P_0 e^{rt\)

So, r= 5.8%

r = 0.058

Now, the time taken to double the sample then P(t) = 2P(0).

So, P(t)= \(P_0 e^{0.058t\)

2P(0) = \(P_0 e^{0.058t\)

\(e^{0.058t\) = 2

Taking log on both side

log \(e^{0.058t\) = log 2

0.058 t = 0.301

t= 0.301/ 0.058

t = 5.189

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Answer:

it's 8

Step-by-step explanation:

lol girl I did this in the first day of school in 6th and I got the same answer , -8 is a negative, your supposed to put it back to a non negative when something is negative change it back to positive it's 8!

Answer:

Let x be the width of the  rectangular family portrait  , then its length will be 2x-15.

I hope this is helpful!

Answer:

yes it is a rational number.

Step-by-step explanation:

Answer:

segment XY = 6

segment XW = 5

segment WZ = 4

segment ZY = 5

6 + 5 + 4 + 5 = 20 units :))))

Answer:

5 would be the dependent variable.

Step-by-step explanation:

5 would be the dependent variable because that is the number that is that depends on the others in the equation for it to be the final answer.

Answer:

180

Step-by-step explanation:

k = 72/2=36

y =kx

y =36(5)

y = 180

Using Law of sines, the missing angles are:

4) ∠B = 45.74°

6) ∠C = 21.02°

8) ∠A = 60.84°

The law of sines is a rule for solving the lengths and angles of triangles and it states that:

a/sin A = b/sin B = c/sin C

4) Using law of sines, we have:

8/sin B = 11/ sin 80

(8/11) sin 80 = sin B

sin B = 0.7162

B = sin⁻¹0.7162

∠B = 45.74°

6) Using law of sines, we have:

13/sin C = 32/sin 62

sin C = (13/32) sin 62

sin C = 0.3587

C = sin⁻¹0.3587

C = 21.02°

8) Using law of sines, we have:

30/sin 104 = 27/sin A

sin A = (27/30) sin 104

sin A = 0.8733

A = sin⁻¹0.8733

A = 60.84°

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Considering the definition of perpendicular line, the equation of the perpendicular line that passes through the point (x, y) = (3, 1) and is perpendicular to the line 2x + 3y = 12 is y= 3/2x -7/2.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 2x+3y= 12. Expressed in the form y = mx + b, you get:

3y= 12 - 2x

y= (-2x +12)÷ 3

y= -2/3x +4

Since multiplying the slopes of two perpendicular lines, you get -1, and the line has a slope of -2/3, you get:

-2/3× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-2/3)

slope perpendicular line= 3/2

The line passes through the point (3, 1). Replacing in the expression for parallel line:

1= 3/2× (3) + b

1= 9/2 + b

1- 9/2 = b

-7/2= b

Finally, the equation of of perpendicular line is y= 3/2x -7/2.

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The throughput time of the system for Phuong's Gear is 49.

Throughput time is the total amount of time required to complete a specific process from start to finish. A manufacturer, for example, can track how long it takes to make a product, from initial customer orders to sourcing raw materials to manufacturing to sale.

The rate at which an item moves from the receipt of a manufacturing order to the completion of production is referred to as throughput.

Throughput time = Sum of all the times

= 7 + 5 + 9 + 4 + 6 + 10 + 8

Throughput time = 49

Therefore, the time is 49.

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length= 15cm

width= 7cm

area of the rectangle.

area of rectangle= length × width

a= l × w

a= 15 × 7

= 105 cm^2

Answer:

105 cm²

Step-by-step explanation:

The formula to find the area of a rectangle is :

Area = length × width

Given that,

length ⇒ 15 cm

width ⇒ 7 cm

Let us solve it now.

Area =  length × width

Area = 15 × 7

Area = 105 cm²

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%