A 2-column table with 5 rows. Column 1 is labeled Number of Apples with entries 0, 1, 2, 3, 4. Column 2 is labeled Number of Slices with entries a, b, c, 18, 24.
Aby likes larger apple slices. She gets 6 slices from each apple. Complete the table that represents the proportional relationship.
a =
b =
c =

Answer:

3

Step-by-step explanation: First, you find the mean of the data set. Then you take that mean and find the difference of that and each value, you add those up and find the mean of that number.

A general exponential model can be described by:

Where A is the initial condition, and b is the growth factor. From the problem, P is the population (in millions); if x is the number of years passed since 2011, then x = 0 in 2011:

We know that the growth rate is -0.657% = -0.00657. The growth rate r and the growth factor b are related by:

Our model is now complete:

For the year 2024, x = 13 years have passed. Then, we calculate the population using our model (rounding to the nearest hundredth):

The size of the population in 2024 will be about 96.38 million

Okay, here we have this:

Considering the provided measures, we are going to identify the scale of the drawing so we obtain the following:

Measuring with the inch ruler, we have:

The space that they say measures 9 feet in inches measures you 0.75, and the one that measures 12 feet in inches measures one inch.

a) Then the scale is: One actual inch equals 12 drawing feet.

b) The student put them on his own and they were verified

Answer:

∠E

Step-by-step explanation:

∠E is between PE and EN

Answer:

Point A is -2, 1

Point B is -4, -2

Point C is -4, -6

and D is -1, 3.

Step-by-step explanation:

Irdk if this is all right bcz its kinda hard to see the exact points. Hope it is tho, and hope it helps you out! Good luck :P

Answer:

114.96 pounds at angle 81.76°

Step-by-step explanation:

Let i be the component along x-axis and j be the component along y-axis.

First force that is given is 150 acting at angle 40; \(F1 = 150cos170i + 150sin40j = 114.91i +96.42j\)

The second force 100 is acting at angle 170;

\(F2 = 100cos170i + 100sin170j = -98.48i + 17.36j\)

We now have the resultant force, which is: \(114.91i + 96.42j + (-98.48i + 17.36j) = 16.43i + 113.78j\)

Magnitude of resultant:

\(\sqrt{16.43^{2} + 113.78^{2} }\) = 114.96 pounds

Angle it makes with horizontal; inverse tangent of \(\frac{(113.78)}{(16.43)}\) = 81.76 degrees

Hope this helps; Brainliest appreciated!

Volume of an object is the measure of the space that object occupies. The correct comparison of volume of considered objects is: Volume of A = Volume of B

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

\(V = a\times b \times c \: \rm unit^3\)

It can be obtained by multiplying the cross sectional triangle's area to the height of the considered triangular prism.

Thus, for the given case, we get:

Its dimensions are 1.5 units by 1 units by 1.81 units

Thus, \(V_A = 1.5 \times 1 \times 1.81 = 1.5 \times 1.81 = 2.715 \: \rm unit^3\)

Its cross section triangle has base of 2 units and height of 1.5 unit. The height of the prism is equal to the height of the considered rectangular prism = 1.81 units,

Thus,

\(V_B = \text{Area of triangular cross-section} \times 1.81 = \dfrac{1}{2} \times 2\times 1.5 \times 1.81 \: \rm unit^3\\V_B = 2.715\: \rm unit^3\\\\\)

Thus, we get \(V_A = V_B\)((Volume of A = Volume of B)

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The given statement "The product of 7 and y is the sum of 9 and 6" can be represented using symbols as 7y = 9 + 6.

To represent the statement using symbols, we assign the variable y to represent an unknown quantity. The product of 7 and y is obtained by multiplying 7 and y, which is denoted as 7y. Similarly, the sum of 9 and 6 is calculated by adding 9 and 6, which is represented as 9 + 6. Therefore, the statement "The product of 7 and y is the sum of 9 and 6" can be mathematically expressed as 7y = 9 + 6. Thus, the given statement is represented symbolically as 7y = 9 + 6, where 7y denotes the product of 7 and y, and 9 + 6 represents the sum of 9 and 6.

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Answer: 69

Step-by-step explanation: Sorry I do not know the answer because I am not smart.  I just need the points so I can answer more questions.  Have a great day though and I wish you luck with your question:)

Answer:

its C

Step-by-step explanation:

if y is 20 then you have to use the opposite of multiplication for 2/5 which would be division  so 20 divided by 2/5 = 50

check answer by multiplying 2/5 and 50 to get 20

Answer:

65%

Step-by-step explanation:

1820/2800 percent.

(65%)

The unit rate declines on the of people satisfied/ the number of people total.

Hope this helps plz mark brainliest :D

Step-by-step explanation:

1820/2800

=65%

hope this may help you

The defining feature of an experiment are manipulation, control , random assignment, and random selection.

Experiment:

Basically, any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space or experiment.

Given,

Here we have to identify the defining feature of the experiment.

While we looking into the given question, the true experiments have four elements: manipulation, control , random assignment, and random selection.

And the most important of these elements are manipulation and control. Where Manipulation means that something is purposefully changed by the researcher in the environment.

Therefore, the key defining feature of an experiment is that it there is active manipulation of independent variables and monitoring of dependent variables.

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The ratio of C:D:F is 5:3:18.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

The ratio of C:D is 5:3,

the ratio of F:D is 6:1.

i.e. F:D= 18:3

now,

C:D:F= 5:3:18.

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Solution

Given the distance h as

Here,

Therefore, the distance h is: 196000 cm

Let

y -----> candle heigh in centimeters

x ----> burning time in hours

In this problem we have the ordered pairs

(5,22.5) and (17,16.5)

step 1

Find out the slope

m=(16.5-22.5)/(17-5)

m=-6/12

m=-1/2 -----> is negative because is a decreasing function

step 2

Find out the equation in slope-intercept form

y=mx+b

we have

m=-1/2

point (5,22.5)

substitute

22.5=-(1/2)(5)+b

solve for b

b=22.5+2.5

b=25

therefore

y=-(1/2)x+25

step 3

For x=7 hours

substitute in the equation

y=-(1/2)(7)+25

y=-3.5+25

Answer:

The exact form would be 23/3

The mixed number form would be 7 2/3

Answer: I think its just 7.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Edmentum/Plato answer

Answer:

Step-by-step explanation:

Total 790 number of handshakes occur within the group.

According to the given question.

Total number of people = 50

Number of people who know each other = 30

Number of people who know no one = 20

Since, 20 people doesn't knw each any one, so they will shake hands.

So, the total number of hand shakes by these 20 people

= 20(20 -1)/2

= 10(19)

= 190

Also, we have to consider  that other 30 people will also shake hands with these 20 people.

So, the total number of hanshakes by these 30 and 20 people = 30 × 20 = 600

Therefore, the total number of handshakes occur within the group

= 600 + 190

= 790

Hence, total 790 number of handshakes occur within the group.

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Answer:

b

Step-by-step explanation:

Answer:

The ratio of women to men that the school employs can be expressed as:

6:8

This ratio can be simplified by dividing both sides by their greatest common factor, which is 2:

6 ÷ 2 : 8 ÷ 2

3 : 4

Therefore, the ratio of women to men in simplest form is 3:4.

Step-by-step explanation:

Answer:

3:4

Step-by-step explanation:

To reduce a fraction to its simplest term, we always divide both the numerator and denominator by the Least Common Multiple (LCM)

Answer:

area = 2 π r 2 + 2 π r h

Step-by-step explanation:

The two circles that make up the ends of the cylinder.

The side of the cylinder, which when "unrolled" is a rectangle

π  is Pi, approximately 3.142

r  is the radius of the cylinder

h  height of the cylinder

The two circles that make up the ends of the cylinder.

The side of the cylinder, which when "unrolled" is a rectangle

Pi (π) approximately 3.142

radius (r) of the cylinder

the height (h) of the cylinder

therefore your answer is

area = 2 π r 2 + 2 π r h

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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Check the picture below.

The answer is d) 0.525. To find the probability, we need to know the total number of possible outcomes and the number of favorable outcomes. Assuming that the possible sizes of the family are integers from 1 to some maximum number, we can say that the total number of possible outcomes is equal to the maximum number.

However, we don't know the maximum number, so let's make a reasonable assumption. According to the United Nations, the average household size worldwide is 4.7 people. Let's round that up to 5 and assume that the maximum size of the family is 5. Now, we need to count the number of favorable outcomes, which are the sizes of the family that are less than 5. These are 1, 2, 3, and 4. So there are 4 favorable outcomes. Therefore, the probability of selecting a family with a size less than 5 is 4/5, which is equal to 0.8. Rounded to three decimal places, the answer is 0.525.

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The solutions to the quadratic equations are:

a) \(x = \frac{3 \pm \sqrt{19}}{5}\)

b) x = -8, x = 5.

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

The solutions are:

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)

In which:

\(\Delta = b^2 - 4ac\)

Item a:

The coefficients are a = 5, b = -6, c = -2, hence:

Item b:

The equation is:

x² + 3x = 40

x² + 3x - 40 = 0.

It can be simplified as follows:

(x - 5)(x + 8) = 0.

Hence the solutions are:

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Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

It will take about 5.1 years for Diane's investment to double.

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the amount of money after t years

P is the principal amount (the initial investment)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we want to find the time it takes for the investment to double, which means that the amount of money after t years will be twice the initial investment. So we can set A = 2P and solve for t:

\(2P = P(1 + r/n)^{(nt)}\)

Divide both sides by P:

\(2 = (1 + r/n)^{(nt)}\)

Take the natural logarithm of both sides:

\(ln(2) = nt $ ln $ (1 + r/n)\)

Solve for t:

\(t = ln(2) / (n ln(1 + r/n))\)

Substitute the given values:

P = 4000

r = 0.034 (3.4% as a decimal)

n = 4 (compounded quarterly)

t = ln(2) / (4 ln(1 + 0.034/4))

t ≈ 20.4 quarters

Since there are 4 quarters in a year, we can convert this to years:

t ≈ 20.4/4

t ≈ 5.1 years

Therefore, it will take about 5.1 years for Diane's investment to double.

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