what is the volume of 20 grams of an object with a density of 55g/cm^3?

For the equation y = 14x + 8, the ordered pairs with x values of 1, 2, 3, and 4, calculated by substituting these x-values into the equation, are (1,22), (2,36), (3,50), and (4,64).

The equation in question is a linear equation, y = 14x + 8 , and you've been asked to use the x-values: 1, 2, 3, and 4 to write the solutions as ordered pairs. To find the corresponding y-values, substitute these x-values one by one into the equation.

These points plotted on a graph represent the dependence of y on x.

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To determine the solutions of the equation y = 14x + 8 for x-values 1, 2, 3, and 4, each x-value is substituted into the equation to find the corresponding y-values, resulting in ordered pairs (1,22), (2,36), (3,50), and (4,64).

To find solutions of the equation y = 14x + 8 using the x-values 1, 2, 3, and 4, we will substitute each x-value into the equation and solve for y to obtain the corresponding y-value.

These ordered pairs represent solutions for the given linear equation and show the dependence of y on x.

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Answer:

The value of f(-2) is, -2

Step-by-step explanation:

The graph which is shown on the coordinate plane passes through the two points i.e, (2,0) and (0, -1).

First find the equation for this line:

Using Point-Slope form for the equation of line: [tex]y-y_{1}=m(x-x_{1})[/tex]  ..[1]

where m is the slope given by ;

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

First find the slope:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-1-0}{0-2}[/tex]

⇒ [tex]m=\frac{-1}{-2} =\frac{1}{2}[/tex]

Now, substitute the value of m=[tex]\frac{1}{2}[/tex] , [tex]x_{1}[/tex]= 2and [tex]y_{1}[/tex]=0 in equation [1];

[tex]y-0=(\frac{1}{2})(x-2)[/tex] or

[tex]y=\frac{1}{2}\cdot (x-2)[/tex]

In this graph x represents the input of the process and Y the output of the process and f the function of the variable x i.e, y=f(x)

∴ [tex]y=f(x)=\frac{1}{2}(x-2)[/tex]        ....[2]

now, we put the value of x=-2 inequation [2] to solve for f(-2).

[tex]f(-2)=\frac{1}{2}(-2-2) =\frac{1}{2} \cdot (-4)[/tex]

Simplify we get;

[tex]f(-2)=-2[/tex]

Answer:

The required model is shown below:

Step-by-step explanation:

Consider the provided information.

We need to use partial products model to solve 6×17

The partial product is the product of parts of each factor.

Here Multiplicand is 6 and Multiplier is 17

We can rewrite 17 as 1 ten and 7 ones. i.e 17=10+7

Therefore,

6×17 = 6(10+7)

6×17 = 6×10+6×7  [Distributive property]

6×17 = 60+42 = 102

Hence, the required model is shown below:

Let us say that:

V1 = initial gallons in first container

V2 = initial gallons in second container

From the problem statement, we can create the equations:

V1 = 2 V2

V1 – 3 = 4.5 (V2 – 2)

Combining the two:

2 V2 – 3 = 4.5 (V2 – 2)

2 V2 – 3 = 4.5 V2 – 9

2.5 V2 = 6

V2 = 2.4 gallons

V1 = 2 V2 = 4.8 gallons

So there are 4.8 gallons in the 1st container while 2.4 gallons in the 2nd container.

The number we would get when we round 57.15% to the nearest whole number is: A. 57%.

Nearest whole percent means the number has no fractional part of decimal.

Given the number, 57.15%, to round it to the nearest whole number, digits 1 and 5 would be removed since the last number closer to the whole number is less than 5.

Thus, we would have 57%.

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5/6 + 3/4

5/6 = 10/12

3/4 = 9/12

10/12 + 9/12 = 19/12 = 1 7/12 pounds total

Answer: the answer is 1 7/12 pounds

Step-by-step explanation:

Because 5/6+3/4=1 7/12

Answer:

The answer is 6x-5y=-13

Step-by-step explanation:

[tex]f=\dfrac{n}{4}+37\\\\\text{substitute the value of n = 18 to the expression}\\\\f=\dfrac{18}{4}+37=4.5+37=41.5\approx42[/tex]

Answer: f = 42.

By using substitution of value n, temperature F in degree Fahrenheit is 42.

"The substitution method is a simple way to solve a system of linear equations algebraically and find the solutions of the variables."

Given

Formula to estimate the temperature F in degree Fahrenheit

f = [tex]\frac{n}{4} +37[/tex]

n = 18 chirps/min

Substituting n in the formula

f = [tex]\frac{n}{4} +37[/tex]

⇒ f = [tex]\frac{18}{4}+37[/tex]

⇒ f = 4.5 + 37

⇒ f = 41.5 ≅ 42 (nearest whole number)

Thus,  temperature F in degree Fahrenheit is 42.

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Answer:

The correct option is 3.

Step-by-step explanation:

From the given graph it is noticed that the coordinates of all the points are (-3,2), (-3,3), (1,4), (1,-4), (2,-2), (2,-4).

So, the graph represents a relation,

R = {(-3,2), (-3,3), (1,4), (1,-4), (2,-2), (2,-4)}

A relation is called a function if an only if for each value of x there exist a unique value of y.

In the given relation, for each value of x we have two values of y. So it is not a function. We need to remove any of ordered pairs that have same input values.

From (-3,2) and (-3,3), we need to remove one point.

From (1,4) and (1,-4), we need to remove one point.

From (2,-2) and (2,-4), we need to remove one point.

It means total we need to remove 3 points from this graph so that it will be a function.

Therefore the correct option is 3.

Answer:

3 points

Step-by-step explanation:

got it right in Edg

Answer:

Associative property is applied

Step-by-step explanation:

7x+(5+6×)--->(7x+5)+6x

In the given expression , the terms are grouped in different order

In associative property, we can group the numbers in any order

(a+b)+c -------> a+(b+c)

first two terms are grouped on the left side

last two terms are grouped on the right side

7x+(5+6×)--->(7x+5)+6x

In the given expression, the terms are grouped in different order

So Associative property is applied

Answer:

Associative property of Addition.        

Step-by-step explanation:

We are given the following information in the question:

We are given the expression:

[tex]7x + (5+6x) = (7x+5)+6x[/tex]

We have used the associative property of addition.

Associative property of addition:

Final answer:

The sum of 16 and 48 can be expressed using the distributive property by factoring out the common factor of 16, yielding 16 + 48 = 16(1 + 3).

Explanation:

The question involves using the distributive property, a concept in mathematics, to express the sum of two numbers, specifically the numbers 16 and 48. To apply the distributive property, we look for a common factor that can be factored out. In this case, the common factor of both 16 and 48 is 16. Therefore, we can express the sum as:

16 + 48 = 16(1 + 3)Here, we've factored out the number 16 that is common to both terms in the sum. The distributive property allows us to then multiply 16 by each term inside the parentheses to get back the original expression.

This is an example of how the distributive property can simplify expressions and aid in mental calculations, such as understanding that 48 can be divided evenly by 16, resulting in 3.

The sum of x and y in the given geometric sequence is 144, with x being 36 and y being 108, based on the common ratio of 3.

To solve the problem, we first need to recognize that a geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a constant called the common ratio. We are given a sequence 4, 12, x, y, 324, 972, and we need to find the common ratio and subsequently x and y.

Step-by-Step Solution:

Find the common ratio (r) using two known consecutive terms.

Once r is found, apply it to determine the missing terms x and y.

Calculate the sum of x and y.

Given the sequence 4, 12, x, y, 324, 972, let's use the first two terms to find the common ratio. The ratio of the second term to the first term is 12 / 4 = 3. Thus, the common ratio (r) = 3.

Now, let's find x by multiplying the second term (12) by the common ratio: x = 12 x 3 = 36.

To find y, multiply x by the common ratio: y = 36 x 3 = 108.

The sum of x and y is then: x + y = 36 + 108 = 144.

Answer:

289

Step-by-step explanation:

btw i need the point pls dont use this

Final answer:

The volume of a cone with a diameter of 18 units and height of 8 units is approximately 678.58 cubic units, calculated using the formula V = 1/3πr²h.

Explanation:

The student is asking about the volume of a cone with a given diameter and height. To calculate the volume (V) of a cone, you can use the formula:

V = ⅓πr²h

where π (pi) is approximately 3.14159, r is the radius of the base of the cone, and h is the height of the cone.

The diameter is given as 18 units, so the radius (r) is half of the diameter, which is 9 units. The height (h) is given as 8 units. By substituting these values into the formula, the calculation for the volume is:

V = ⅓π(9 units)²(8 units)

V = ⅓π(81 units²)(8 units)

V = ⅓π(648 units³)

V = 216π units³

When we calculate this using the approximate value of π, the volume is:

V = 216 × 3.14159 units³

V = 678.58464 units³

The volume of the cone is approximately 678.58 cubic units.

A) 5/2 = 2.50, it costs $2.50 per pound

B) yes because 7.50 / 3 = 2.50 as well

C) weight would be on x-axis and cost on the Y axis

D) draw a graph and put the dots on (2,5) and (3,7.50) and draw a straight line

E) 2.50 *5 = $12.50, multiply cost per pound by pounds.

Final answer:

The equation representing the number of students enrolled after x years is y = 3x + 5, taking into account the initial number of students and the annual enrollment of new students.(Option D)

Explanation:

To determine the equation that represents the number of students enrolled in Mathnificent tutoring service in x years, we start with the initial condition that there were 5 students in the first year. Since 3 new students enroll each year, we add 3 to the number of students for each subsequent year. The total number of students after x years can be represented by adding the product of 3 (the number of new students enrolling each year) and x (the number of years) to the initial number of students, which is 5.

The correct equation to represent this scenario is y = 3x + 5. This equation indicates that there is a constant rate of new students enrolling each year (3), and we are adding these to the initial count (5).

Final answer:

By reducing his cholesterol level by 12% from the original 220 mg/dL, Brian's current approximate cholesterol level is 193.6 mg/dL.

Explanation:

Brian has reduced his cholesterol level by 12% by following a strict diet and regular exercise. If his original level was 220, to calculate his current cholesterol level, we need to find 12% of 220 and then subtract that from 220. Here's how:

Calculate 12% of 220: (12/100) * 220 = 26.4.

Subtract the reduction from the original level: 220 - 26.4 = 193.6.

Therefore, Brian's approximate cholesterol level now is 193.6 mg/dL.