The cost of holding a children’s birthday party at a roller rink is a function of n , the number of people in the party . The cost , c , can be represented with this set of rulesB . Which graph represents the function on the coordinate plane

Answer:

98

Step-by-step explanation:

hi there i dont kno but u can ask your mom

Manav can cover 1 mile of the distance in just 12 minutes.

The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc

if Manav covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:

Unit rate = 36min/3miles

Unit rate = 12 minutes/mile

Here,

This shows that Manav can cover 1 mile of the distance in just 12 minutes.

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If a bacterial growth rate is 3 cells every 2 minutes and there were initially 260, there will be 290 cells after 21 minutes which is found by using multiplication and addition.

what is Multiplication?

Multiplication is an arithmetic operation that combines two or more numbers to find their product. It is one of the fundamental operations in mathematics and is denoted by the "×" or "*" symbol.

The growth rate of the bacteria is 3 cells every 2 minutes. This means that in a span of 2 minutes, the number of cells increases by 3.

To find the total number of cells after 21 minutes, we need to calculate the number of 2-minute intervals in 21 minutes. Since there are 10 intervals of 2 minutes in 20 minutes (10 intervals * 2 minutes = 20 minutes), we know that the number of cells at the end of 20 minutes is 260 + (10 intervals * 3 cells) = 290 cells.

Now, for the remaining 1 minute, we can calculate the additional cells. In this case, the growth rate is still 3 cells every 2 minutes. Therefore, in 1 minute, the number of cells increases by (1/2) * 3 = 1.5 cells. Thus, the total number of cells after 21 minutes is 290 + 1.5 = 291.5 cells.

Since we cannot have a fraction of a cell, we round the result to the nearest whole number. Therefore, after 21 minutes, there will be 290 cells.

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The distance between the two actors in this problem is given as follows:

9 feet.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates given as \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The positions for each actor are given as follows:

Hence the distance is given as follows:

\(D = \sqrt{(6 - (-3))^2+(-2-(-2))^2}\)

D = 9 units.

As each square represents one foot, the distance is:

9 x 1 = 9 feet.

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Answer:

He paid $2.30 for each gallon of gas he got.

The number of subs in the order is 8 or 9

Let's call the number of subs in the order "x".

Since the cost of 3 subs is $20, the cost per sub is $20 / 3 = $6.67.

And since the cost of 4 subs is $26, the cost per sub is $26 / 4 = $6.50.

So the cost per sub is between $6.50 and $6.67.

If the total cost is $56, then the cost per sub must be $56 / x.

So:

x = 56/6.5 or x = 56/6.67

Evalutate

x = 8.6 or x = 8.4

Approximate

x = 9 or 8

Hence, the subs is 8 to 9

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The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

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Answer:

p=5

Step-by-step explanation:

5p-30+11=4+(-3+p)

5p-19=1+p

5p-p=1+19

4p=20

p=5

Answer:

5.74 (rounded)

Step-by-step explanation:

4^2+b^2=7^2

16+b^2=49

-16 -16

b^2=33

√b=√33

b= about 5.74

Answer:the answer is 5

Step-by-step explanation:

it is correct

Answer:

Take the Cubits and multiply

Step-by-step explanation:

This is a problem i had so just fill it in to your numbers etc.

A= 43.3 cubits squared

SA= the base of A +1/2 (p x slant h)

SA= 43.3 cubits squared + 1/2 (30 x 14 cubits)

To sum it up u can message me ur numbers and ill help

Answer:

Step-by-step explanation:

78,500 x 0.02 = 1,570--year 1 raise

(78,500 + 1,570) x 0.02 = 1,601.4--year 2 raise

(78,500 + 1,570+ 1,601.4) x 0.02 = 1,633.428--year 3 raise

(78,500 + 1,570+ 1,601.4+1,633.428) x 0.02 = 1666.1--year 4 raise

(78,500 + 1,570+ 1,601.4+1,633.428+1666.1) x 0.02 = 1699.42--year 5 raise

just keep doing this till you get to year 10 and then add up the total of money gained to the initial salary

The total cost for a meal of $110 plus a service charge of 18% is $129.8.

Given that, the meal costs $110 plus a service charge of 18%.

The total cost of the meal will be the addition of cost of meal and the service charge.

Total cost = cost of meal + service charge

Total cost = $110 + ( 18% × $110 )

Note that 18% is the same as 18/100

Total cost = $110 + ( 18/100 × $110 )

Total cost = $110 + ( 0.18 × $110 )

Total cost = $110 + ( $19.8 )

Add $110 and $19.8

Total cost = $129.8

Therefore, the total cost of the meal is $129.8.

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9514 1404 393

Answer:

  3.  62.5% decrease

  4.  26.2% decrease

  5.  13.2% decrease

Explanation:

A percentage change is calculated from ...

  percent change = ((new value) - (old value))/(old value) × 100%

When it is negative, the change is a decrease.

__

3. (24 -64)/64 × 100% = -40/64 × 100% = -62.5%, a 62.5% decrease

__

4. (4.8 -6.5)/6.5 × 100% = -1.7/6.5 × 100% ≈ -26.2%, a 26.2% decrease

__

5. (1.12 -1.29)/1.29 × 100% = -0.17/1.29 × 100% ≈ -13.2%, a 13.2% decrease

Solving the first equation for m, we have:

Now, solving the second equation for n, we have:

Therefore, the rate of change of sales at the time t=8 is 5.5 thousand. Note that we rounded to the nearest tenth as per the instructions.

To find the rate of change of sales at the time t=8, we need to take the derivative of the function S(t) with respect to t. The derivative of S(t) = 20 - 80e^-.2t is given by:
S'(t) = 16e^-.2t
Now, we can plug in t=8 into this derivative to get:
S'(8) = 16e^-.2(8)

= 5.5
In general, if we have a function S(t) that gives the sales in thousands at time t, then the rate of change of sales (in thousands per year) is given by the derivative S'(t) of the function S(t). The number that we get by plugging in a specific value of t (such as t=8 in this case) represents the rate of change of sales at that specific time.

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The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

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

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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Answer:

Answer:

D. 1/16

Step-by-step explanation:

\(b^-^n = 1/b^n\)

so it is

\(1/2^4 = 1/16\)

Have a nice day!

Answer:

(2, 3, 5, 9, 1, 6) (2, 0, 2, 2, 7, 2) (9, 9, 9, 5, 5, 0) (0, 4, 9, 9, 4, 0)

(3, 7, 7, 2, 5, 8) (2, 5, 5, 2, 4, 1) (6, 4, 6, 7, 9, 4) (5, 2, 9, 7, 8, 3)

(4, 7, 1, 3, 4, 3) (7, 0, 7, 3, 3, 5) (8, 6, 3, 0, 0, 6) (9, 1, 0, 7, 7, 7)

(2, 6, 3, 1, 1, 7) (8, 0, 0, 8, 3, 7) (9, 1, 8, 7, 4, 6) (9, 3, 6, 0, 5, 0)

(0, 0, 8, 3, 7, 8) (2, 5, 2, 7, 3, 5) (3, 5, 1, 5, 0, 2) (5, 1, 9, 9, 7, 4)

Step-by-step explanation:

Explanation:

Statement . . . . Reason

1. ∠1 and ∠2 are a linear pair; ∠2 and ∠4 are a linear pair . . . . given

2. ∠1+∠2 = 180°, ∠2+∠4 = 180° . . . . definition of linear pair

3. ∠1+∠2 = ∠4+∠2 . . . . substitution property of equality

4. ∠1 = ∠4 . . . . subtraction property of equality

__

In words: angles supplementary to the same angle are congruent.

The average daily change in temperature, we divide the change in temperature by the number of days, resulting in (-49) / D

To represent the change in temperature, we can use a division expression. We need to find the difference between the initial temperature and the final temperature, and divide that difference by the number of days.

Let's assume that the initial temperature was T1 and the final temperature was T2. The change in temperature can be represented by the expression T2 - T1.

In this case, the temperature dropped 49 degrees Fahrenheit. So, the expression to represent the change in temperature would be T2 - T1 = -49.

To determine the average daily change in temperature, we need to divide the change in temperature by the number of days. Let's assume that the number of days is D.

The average daily change in temperature can be calculated by dividing the change in temperature by the number of days. So, the expression to determine the average daily change would be (-49) / D.

For example, if the temperature dropped 49 degrees Fahrenheit over a span of 7 days, the average daily change would be (-49) / 7 = -7 degrees Fahrenheit per day.

It's important to note that the negative sign indicates a decrease in temperature, while a positive sign would indicate an increase.

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Step-by-step explanation:

she sell 5piece out of 6 per hour

for 36 hour, she sell:

5 × 36 = 180piece of pie

one pie is cut to 6 piece

180/6 = 30pie

Negative numbers get smaller the more they move away from 0.

Answer:

-15

Step-by-step explanation:

The greater the number after the minus sign, the smaller it is.

For example, -5 is smaller than -1.

To find the equation of a parabola with a vertex at the origin and axis along one of the coordinate axes, we need to determine the coordinates of the focus and the equation of the directrix.

a) For the focus to be on the line 3x+4y=12, we can substitute y=0 (since the axis is the x-axis) into the equation to find the x-coordinate of the focus:
3x + 4(0) = 12
3x = 12
x = 4

So, the focus is located at (4, 0).

b) Since the directrix is the line y=6, the equation of the directrix is simply y = -6 (which is parallel to the x-axis and 6 units below the x-axis).

Now, we can use the formula for the equation of a parabola in standard form to find the equation of the parabola. The equation is: (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance from the vertex to the focus or directrix.

a) Using the vertex (0, 0) and the focus (4, 0), the equation is:
(x - 0)^2 = 4(4)(y - 0)
x^2 = 16y

b) Using the vertex (0, 0) and the directrix y = -6, the equation is:
(x - 0)^2 = 4(-6)(y - 0)
x^2 = -24y

a) The equation of the parabola with the focus on the line 3x+4y=12 is x^2 = 16y.
b) The equation of the parabola with the directrix y=6 is x^2 = -24y.

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The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

R = (f(b) - f(a))/(b - a)

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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Answer:

Step-by-step explanation:

its 16

Dimes is the coin which is equal to the 0.10 dollar. The number of dimes in the bag is 16.

To find the number of dimes we need to know about dimes.

Dimes is the coin which is equal to the 0.10 dollar. Quarter is the coin which is equal to the 0.25 dollar.

Given information-

The total number of coins bag contains is 37.

The total amount of money in the bag is $6.85.

Let the number of Dimes in the bag is \(x\) and the number of quarter in the bag is \(y\).

As the the total number of coins bag contains is 37. Thus,

\(x+y=37\\\)

Solve the equation for y,

\(y=37-x\)

Let the above equation is equation number 1.

As total amount of money in the bag is $6.85. Thus,

\(0.10x+0.25y=6.85\)

Put the value of y in the above equation as,

\(\begin{aligned}\\0.10x+0.25(37-x)&=6.85\\0.10x+9.25-0.25x&=6.85\\0.15x&=6.85-9.25\\x&=\dfrac{2.4}{0.15} \\x&=16\\\end\)

Hence, the number of dimes in the bag is 16.

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Answer:

1400m^2

Step-by-step explanation:

Let the breadth of the garden be a, therefore the length of the garden is (a+5).

The perimeter of the garden is the sum of all its sides, therefore:

Perimeter = a + a + (a+5) + (a+5) = 150

Simplifying the LHS of the equation:

4a +10 = 150

Subtracting 10 from both sides of the equation:

4a = 140

Dividing both sides by 4:

a = 35 = breadth

Therefore the length of the garden = (a + 5) = 40

Recall that the area of the garden is its length multiplied by its breadth, therefore:

Area = 35*40 = 1400

Answer:

area=1400

Step-by-step explanation:

length(l)=x+5

breadth(b)=x

Perimeter=2(l+b)

      150    =2(x+5+x)

         150 =2x+10+2x

    150-10=4x

       140=4x

         x=35          

therefore breadth=35

                 length=40

area=l*b

      =35*40

     =1400

Steps to solve:

-2(-3)(-4)

~Multiply

-2(12)

~Multiply

-24

Best of Luck!

Statistical quality control (SQC) can be applied in various industries such as manufacturing, healthcare, finance, and services to monitor and improve the quality of products or services.

SQC involves the use of statistical tools and techniques to analyze and interpret data to identify and address any issues related to quality control. Some of the common applications of SQC include process control, acceptance sampling, and control charts.

In manufacturing, SQC can be used to monitor the production process and ensure that products meet the desired quality standards. For example, control charts can be used to track the performance of a particular machine or process and identify any deviations from the expected values.

In healthcare, SQC can be applied to monitor patient outcomes and ensure that the quality of care is consistent across different healthcare providers. For example, statistical analysis can be used to identify any trends or patterns in patient data and improve the effectiveness of treatments.

Overall, SQC can be applied in any industry where there is a need to ensure that products or services meet the desired quality standards. It is a valuable tool for identifying and addressing any issues related to quality control and improving overall efficiency and effectiveness.

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Answer:

the correct answer is c