Write in standard form (2×10) + (6×1) + (3×1/100) + (9×1/1000)

Step-by-step explanation:

To determine the constant of proportionality (k) in a proportional relationship, we need to compare corresponding values of x and y and calculate the ratio between them.

Let's examine the given values:

2. UX: x 6 15 9 y 42 200

To find the constant of proportionality (k), we can take any pair of corresponding values and calculate their ratio. Let's choose the first pair: (6, 42).

k = y / x

k = 42 / 6

k = 7

So, the constant of proportionality (k) is 7.

Now, let's find the missing values for the second set of values:

d. X: 14 y: 21 6 15 3 7 8

Since we know the constant of proportionality is 7, we can calculate the missing values of y by multiplying each corresponding x value by 7.

Missing values for y:

- For x = 21, y = 21 * 7 = 147

- For x = 6, y = 6 * 7 = 42

- For x = 15, y = 15 * 7 = 105

- For x = 3, y = 3 * 7 = 21

- For x = 7, y = 7 * 7 = 49

- For x = 8, y = 8 * 7 = 56

Therefore, the missing values of y are: 147, 42, 105, 21, 49, and 56.

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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Answer: The answer is C

Step-by-step explanation: This is because the equation has a greater than or equal to sign (≥). This mean that there will be a closed dot. Also, when it comes to inequalities, the sign points to where the line will be drawn, (greater than is to the right and less than is to the left), which indicates that the answer is C

Answer:

-84+(-11)= -95

-84 + (-11) = -84 - 11 = -95

By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.

Answer:

1

Step-by-step explanation:

5x2 is 10 subtract that and add it to 6 which gives you -4 then you do -4/-4 which is 1

Given the following equation representing the cost of producing DVD Players:

Let's determine the number of DVD players produced if the cost is $544.50

Therefore, it'll cost $544.50 to produce 11 DVD Players.

The answer is 11.

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

Concept:

The formula for the population density is given below as

The population given in the question is

Step 1:

To figure out the area of the shape, we will divide the shape into two parts as given in the image below

The area of part A will be calculated below as

The area of part B will be calculated below as

Hence,

The total area of the township will be

By substituting the values in the formula below, we will have

Hence,

The population density is approximately 4.4 people per square mile

The numeric value of the expression -b + 8x when b = 5 and x = -6 is given as follows:

-53.

To find the numeric value of a function or of an expression, we replace each instance of the variable/variables in the function or in the expression by the value/values at which we want to find the numeric value.

In this problem, the expression is given as follows:

-b + 8x.

The values at which the numeric value is to be found are:

b = 5, x = -6.

Hence:

Thus the numeric value of the expression is obtained as follows:

-5 + 8(-6) = -5 - 48 = -53.

The problem is given by the image at the end of the answer.

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The expression that represents "3 more than twice a number" is 2n + 3.

The expression "3 more than twice a number" can be translated into an algebraic expression as 2n + 3, where "n" represents the number in question. To understand this expression, we first need to know the order of operations. In this case, "twice a number" means "2n", and "3 more than" means adding 3 to that result. Therefore, the entire expression becomes "2n + 3". It's important to remember that expressions like this are not equations, but rather just a way to represent a mathematical relationship. This type of expression is commonly used in algebraic problem-solving and can be manipulated to solve for different variables.

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Complete question:

Which expression represents "3 more than twice a number"? Choices:

2n−3

3−2n

2n+3

2+n+3

It should be noted that No. the value of the 9 in the hundred place is not ten times the value of 3 in the tens place.

It should be noted that the value of 3 in 1934 is 30 and the value of 9 is 900.

1934 = 1000 + 900 + 30 + 4

Therefore the value of 9 will be:

= 30 × 3

Therefore, the the value of the 9 in the hundred place is 30 times the value of 3 in the tens place.

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The product of the slopes of this line and the line perpendicular to it is equal to -1.

Note that the slope if the coefficient of x.

Let

\( \alpha \)

be the slope of the given line.

Let

\( \beta \)

be the slope of the line perpendicular to it.

I can therefore say,

\( \alpha \times \beta = - 1\)

\( \frac{ - 4}{3} \times \beta = - 1\)

\( \beta = \frac{ - 1}{ \frac{ - 4}{3} } \)

\( \beta = \frac{ - 3}{ - 4} = \frac{3}{ 4} \)

The slope is 3/4

Answer:

The slope-intercept form: y = mx + b

m - a slope

b - y-intercept

We have a slope m = 1/4. Substitute: y = 1/4 x + b

We know, the line passes through point (8, 3) → x = 8, y = 3.

Put the values of x and y to the equation of the line:

1/4 · 8 + b = 3

2 + b = 3 |-2

b = 1

Answer: y-intercept is (0, 1)

Step-by-step explanation:

Step-by-step explanation:

The situation described can be modeled using a linear equation, where the balance of the savings account increases by a fixed amount every month. Specifically, the equation that represents this situation is:

balance = $5000 + $825 * months

where "months" represents the number of months that have passed since the account was opened. The slope of this line is constant at $825, indicating that the balance is increasing by the same amount every month.

Therefore, the model for this situation is linear.

Answer:

See below.

Step-by-step explanation:

-7x+2y=10

/2   /2    /2

-7/2x+y=5

+7/2x   +7/2x

y=7/2x+5

The y-intercept is 5.

-hope it helps

Answer:

1/6

Step-by-step explanation:

it is like a cube just with slightly different numbers on each side. but the probabilty structure is still the same.

we have 6 different possible outcomes, all with the same basic probabilty (as every field on the spinner is seemingly of the same size as the others).

and we desire one of these possible outcomes (6).

so the probabilty to get 6 is still 1/6 (1 desired over 6 possible outcomes).

Answer:

Slope - intercept form    \(y = \frac{14}{3} x + 34\)

Step-by-step explanation:

Explanation:-

Given points are ( -9 ,-8 ) and (-6,6)

slope of given two points

    \(m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}\)

The equation of the straight line passing through the points and having slope

          \(y - y_{1} = m ( x - x_{1} )\)

        \(y - (-8) = \frac{14}{3} ( x - (-9) )\)

          3 y + 2 4 = 14 x + 126

           3 y = 14 x + 126 - 24

          3 y = 14 x + 102

            \(y = \frac{14}{3} + \frac{102}{3}\)

           \(y = \frac{14}{3} x + 34\)

Slope - intercept form  y= mx +C

Slope - intercept form    \(y = \frac{14}{3} x + 34\)

a) Composite function fog(x) = 3/(x+3)

b) Domain of fog(x) in interval notation = (-∞,-3)∪(-3,∞)

A function is a process or a relation that associates each element 'a' of a set A , to a single element 'b' of another set B.

Given functions,

f(x) = x/(x+2)

g(x) = 6/x

a) (fog)(x) = f(g(x))

= f(6/x)

= (6/x)/((6/x) + 2)

= 6/x((6/x) + 2)

= 6/(6 + 2x)

= 3/(x+3)

fog(x) = 3/(x+3)

b) Domain of (fog)(x)

y = 3/(x+3)

For domain y = 0

⇒ x+3  = 0

⇒ x  = -3

But the function gets undefined for x = -3

So, Domain x ≠ -3

⇒ x > -3 or x < -3

Domain set Interval Notation : (-∞,-3)∪(-3,∞)

Hence, value of composite function

fog(x) = 3/(x + 3)

Domain of fog(x) : (-∞,-3)∪(-3,∞)

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Answer:

Step-by-step explanation:

IH:GH = 45:30 = 3:2

JK:GK = 36:GK = 3:2

GK = 24

In this case the answer is very simple. .

The output corresponds to the values of y.

In this case, all the output values are -2.

Therefore, the answer is -2.

Answer:

its B and A

Step-by-step explanation:

Answer:

its in between the fist and second one cuusing what is given thats what i figured out

Step-by-step explanation:

3 x 36= 108 / 3 x 15 = 45

9 x 12 = 108 / 9 x 5 = 45

6 x 18 = 108 / 6 x 7 = 42

i hope this helps :)

Answer: 1

Step-by-step explanation:

Answer:

3.025

Step-by-step explanation:

the answer is 3.025 because 1/40 simplified is 0.025 and add the 3 to get 3.025

Answer: 3.0250

Step-by-step explanation: To convert this mixed number (fraction) to a decimal just follow these two steps:

Step 1: divide numerator (1) by the denominator (40): 1 ÷ 40 = 0.025

Step 2: add this value to the the integer part: 3 + 0.025 = 3.025. So,

3 1/40 = 3.025

Answer:

No the number of egg whites used is not proportional to the cups of jelly used.

Step-by-step explanation:

if your jelly is 1/3 cup then just one egg white is not also 1/3 a cup

Solution:

Given:

From the details given, the following can be deduced;

Also,

Answer:4n=c

Step-by-step explanation:i did this on the test and got the answer right