-1/2p - 4< 3

Please try to graph on number line

The volume of the rectangular pyramid with a height of 6in, width of 2in and length of 4in is 16 cubic inches.

A rectangular pyramid is a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.

The volume of rectangular pyramid is expressed as;

V = (1/3) × l × w × h

From the image:

Length l = 4 in

Width w = 2 in

Height h = 6 in

Volume V = ?

Plug the given values into the above formula and solve for the volume.

V = (1/3) × l × w × h

V = (1/3) × 4 × 2 × 6

V = (1/3) × 48

V = 16 in³

Therefore, the volume is 16 cubic inches.

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Answer:

The answer is -½.

✌ yeah it is ✌

The equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x + 3y - 30 = 0     .

In the question ,

it is given that ,

the required line passes through the points (3,5) and and cuts off the least area from the first quadrant .

Suppose that the line passes through the (t , 0) and (3 , 5) . , where t > 0 .

So , the y intercept will be (0 , 5t/(t - 3))

So , the area of the  triangle in the first quadrant will be ,

= (1/2)×t × 5t/(t - 3)

= 5t²/2(t - 3) .

Differentiating the given area with respect to t ,

we get ,

d/dt 5t²/2(t - 3)  = 5t/(t-3) - 5t²/2(t-3)²

= 5t/2(t-3)²  × (2(t-3)-t)

= 5t/2(t-3)²  × (t-6)

So , the zero of the derivative will be at t = 6 .

So , the points will be (6,0) and (3,5) .

the equation of the line passing through the points (6,0) and (3,5) is

5x + 3y - 30 = 0 .

Therefore , the equation of the line is 5x + 3y - 30 = 0    .

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To analyze and create a study plan based on this data, Valeria can use statistical techniques to understand the relationship between the number of letters in a word and the time taken to memorize it.

One common approach is to perform a regression analysis, which can help determine the equation that relates the two variables and by fitting a regression model to the data, Valeria can estimate the relationship between x (the number of letters) and y (the time taken). This equation can then be used to predict how long it might take her to memorize words of different lengths.

There are various regression techniques available, such as

Once the regression model is established, Valeria can use it to plan her study time accordingly. For example, if she knows the number of letters in a word, she can estimate how long it will likely take her to memorize it based on the equation derived from the regression analysis.

It's important to note that performing a regression analysis requires a sufficient amount of data points to ensure accurate predictions.

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Considering the information about trees, The value of a is 5500

The value of r is calculated to be 0.92

In 1 October 2030 the number is 2022

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so on.

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem,  N = ar^t

the starting, a = 5500

the base, r =

the exponents = t

Solving for the base

N = ar^t

5500 = ar^t in 2018 t = 0

a = 5500

in 2019, t = 1

N = ar^t

5060 = 5500 * r

r = 5060/5500

r = 0.92

From 2018 to 2030 = 12 years, hence t = 12

N = 5500 * 0.92^12

N = 2,022.165132

N = 2022

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Answer:

LCD-3x(x+2)

Final answer- x2-4x+4/ 3x2+6x

Step-by-step explanation:

okay so LCD is 3*x*(x+2)

= 3x(x+2)

so multiyling the fist expresion by x+2 and the second by x we get

2x+4+ x2-6x/ 3x(x+2)

= so

x2-4x+4/3x(x+2)

x2-4x+4/ 3x2+6x

if my answer helps please mark as brainliest.

The fraction of table filled is 285/301 or in decimal as 0.946

Fractions are expressed in mathematics as a number value that defines a part of a whole or group of objects. Fraction is a component or sector of a given quantity taken from the whole, which might be a number, a specified value, or an item.

In a given fraction, the value on the top is called the numerator, while the value on the bottom is known as the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.

In this question, we have to add the total number of attendees first

212 + 89 = 301

But each seat except 1 is filled by 16 people

Let's subtract 16 from the total number

301 - 16  = 285

The fraction of table filled is  285 ÷ 301 = 285/301 = 0.946

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Answer:

It is 9

Step-by-step explanation:

Answer:

ur answer is 4

Step-by-step explanation:

Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x-6+4x=6x-6

Hope this helps!

6x-6 i think is the anwer

To determine the particle's position at time t = 0.6 s, we need to integrate the acceleration function with respect to time. Given that the initial position x₀ and initial velocity vₓ₀ are both zero, we can calculate the position using the following steps:

First, integrate the given acceleration function to obtain the velocity function:

vₓ(t) = ∫aₓ(t) dt

∫(8t³ - 500t⁵ + 6) dt = 2t⁴ - 100t⁶ + 6t + C₁

Next, integrate the velocity function to find the position function:

x(t) = ∫vₓ(t) dt

∫(2t⁴ - 100t⁶ + 6t + C₁) dt = (2/5)t⁵ - (100/7)t⁷ + 3t² + C₁t + C₂

Since we know that x₀ = 0 and vₓ₀ = 0 at t = 0, we can substitute these values to determine the constants C₁ and C₂:

x(0) = (2/5)(0)⁵ - (100/7)(0)⁷ + 3(0)² + C₁(0) + C₂

0 = 0 - 0 + 0 + 0 + C₂

C₂ = 0

Now, we can substitute the values of C₁ and C₂ back into the position function:

x(t) = (2/5)t⁵ - (100/7)t⁷ + 3t²

Finally, we can find the particle's position at t = 0.6 s:

x(0.6) = (2/5)(0.6)⁵ - (100/7)(0.6)⁷ + 3(0.6)²

Calculating this expression will give us the position of the particle at t = 0.6 s.

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Answer:

100

Step-by-step explanation:

its addition and i searched it up on a calculator

Answer:

The answer to your problem is, 100

Step-by-step explanation:

Lets divide the numbers/equation:

1+2+3+4+6+7+8

9+10+11+12+13+14.

Lets do part a:

1+2+3+4+6+7+8

= 31.

Next part b

9+10+11+12+13+14

= 69.

Add them all up:

31 + 69 =

100.

Thus the answer to your problem is, 100

Answer: It is an equilateral square

Step-by-step explanation: it has 4 tick marks

Answer:

The obtained fraction is an improper fraction. Hence, the equivalent fraction of a given decimal point number \[0.25\] (25 being repeated) is \[\dfrac{{25}}{{99}}\] . So, the correct answer is “ \[\dfrac{{25}}{{99}}\] ”.

Answer:

let b = amount of balloons; 10b = 120

Step-by-step explanation:

to do this you should first have a let equation

let b = balloons

then because 10 times the number of balloons is 120 you multiply them

it looks like this

10b = 120

An x-bar chart is an essential tool for monitoring and improving the production process by providing insights into the process's stability and helping to identify potential issues or improvements needed to maintain the quality of the manufactured shafts for fuel pumps.

(i) The center line (CL), lower control limit (LCL), and upper control limit (UCL) for the x-bar and R charts need to be calculated using the constants provided in Table Q(d). The values of the x-bar and R for each sample are given but are not specified in the question. The calculation of these control limits involves statistical formulas and the use of the given constants.

(ii) To formulate the x-bar and R charts, the calculated values of the x-bar and R for each sample need to be plotted on the respective charts. The x-bar chart displays the sample means over time, while the R chart shows the ranges of the samples. These charts help monitor the process and identify any points that fall outside the control limits, indicating potential process variations or abnormalities.

(iii) The x-bar chart provides valuable information about the central tendency or average of the sample measurements. By analyzing the data plotted on the x-bar chart, one can observe the stability and consistency of the production process. If the points on the x-bar chart fall within the control limits, it suggests that the process is in statistical control, meaning it is stable and producing consistent results. However, if any points exceed the control limits, it indicates that the process may be out of control, and further investigation is required to identify and address the sources of variation.

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(a) To find the number of committees of six that contain three men and three women, we can use the concept of combinations.

The number of ways to choose three men out of five is given by the combination formula:

\(\({{5}\choose{3}} = \frac{5!}{3!(5-3)!} = 10\)\)

Similarly, the number of ways to choose three women out of seven is given by:

\(\({{7}\choose{3}} = \frac{7!}{3!(7-3)!} = 35\)\)

Since the choices for men and women are independent, we can multiply these two values to get the total number of committees with three men and three women:

\(\(10 \times 35 = 350\)\)

(b) To find the number of committees of six that contain at least two men, we can consider two cases:

1. Committees with exactly two men:

The number of ways to choose two men out of five is \(\({{5}\choose{2}} = 10\)\).

The number of ways to choose four women out of seven is \(\({{7}\choose{4}} = 35\)\).

So, the number of committees with exactly two men is \(\(10 \times 35 = 350\)\).

2. Committees with three men or more:

We have already calculated the number of committees with exactly three men and three women in part (a), which is 350.

To get the total number of committees with at least two men, we sum the results from the two cases: .

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Answer:

C. P=rs 300

S.p =rs 410

Tax rate =15%

Step-by-step explanation:

Now according to que,

Profit =S.p-C.p

=410-300

= Rs 110

Hence,profit amount is Rs 110

Answer:

$20,960

Step-by-step explanation:

brainliest?

every 14 days you get payed only 10 dollars?

id say less then 1000

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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Step-by-step explanation:

Start by listing the factors for both of the numbers

13 (it's a prime number)

1, 13

---------------------------------------------------------------------------

26

1, 26

2, 13

----------------------------------------------------------------------------

Both of the numbers have 2 common factors: 1 and 13

Since 13 is greater than 1, 13 would the the GCF(greatest common factor)

I hope this helps!!!

Answer:

96 degrees

Step-by-step explanation:

When finding the arc from a non central angle, multiply it by 2

Answer:

\(y = -\frac{1}{4} + \frac{11}{2}\)

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

\(6 = -\frac{1}{4}(-2) + b\)               multiply \(-\frac{1}{4}\) and 2

\(6 = \frac{1}{2} + b\)                         subtract \(\frac{1}{2}\) from both sides

\(b = \frac{11}{2}\)

now we plug m and b into the equation and leave x and y as variables to get the final equation:

\(y = -\frac{1}{4} + \frac{11}{2}\)

Answer:16.4

Step-by-step explanation:

because if the whole loaf of bread is 18 slices you take the total amount of carbs (295.2) and divide it by the total amount of bread (18 slices)

Answer: Multiply the left side by 4.

Step-by-step explanation: 2*4=8

4*4=16 5*4=20 7*4=28

a. the server utilization can be calculated as (2/3)/(1/3) = 2/3 = 0.67, or 67% when expressed as a percentage.

b.) the average line length is (1/3) * 3 = 1 customer.

c.)The average time spent in line is 3 minutes.

d.)The average number of customers in the coffee shop is 10 customers.

e.)The average time spent by customers in the coffee shop (including waiting time and service time) is 6 minutes.

a. The average server utilization is 75%.

To calculate the average server utilization, we need to determine the proportion of time the server is busy serving customers. In this case, the average service time is given as 90 seconds per customer. Since there are 60 minutes in an hour, the server can serve (60/90) = 2/3 customers per minute.

The arrival rate of customers is 20 per hour. Converting this to minutes, we have an arrival rate of 20/60 = 1/3 customers per minute.

Therefore, the server utilization can be calculated as (2/3)/(1/3) = 2/3 = 0.67, or 67% when expressed as a percentage.

b. The average line length in the coffee shop is 10 customers.

To calculate the average line length, we can use Little's Law, which states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system.

The arrival rate is given as 20 customers per hour, which can be converted to 1/3 customers per minute.

The average time spent in the system is the sum of the average waiting time and the average service time. The average service time is given as 90 seconds, and the average waiting time can be calculated using the formula 1/(μ - λ), where μ is the service rate (2/3 customers per minute) and λ is the arrival rate (1/3 customers per minute). Therefore, the average waiting time is 1/(2/3 - 1/3) = 3 minutes.

Using Little's Law, the average line length is (1/3) * 3 = 1 customer.

c. The average time spent in line is 3 minutes.

As calculated in part b, the average waiting time in the line is 3 minutes. This represents the average time customers spend waiting in line before being served.

d. The average number of customers in the coffee shop is 10 customers.

Using Little's Law, as explained in part b, the average number of customers in the system is equal to the arrival rate multiplied by the average time spent in the system. Therefore, the average number of customers in the coffee shop is (1/3) * 3 = 1 customer.

e. The average time spent by customers in the coffee shop (including waiting time and service time) is 6 minutes.

To calculate the average time spent by customers in the coffee shop, we add the average waiting time (3 minutes) and the average service time (90 seconds, which is 1.5 minutes) together. Therefore, the average time spent by customers in the coffee shop is 3 + 1.5 = 4.5 minutes.

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Answer:

x=-3×-5×-7

-3×-5=15

15×-7=-105

=-105

Answer:

f(x) is the blue graph, g(x) is the red graph.

x^2 - 3x + 17 - (2x^2 - 3x + 1) = 16 - x^2

16 - x^2 = 0 when x = -4, 4

So the area between these two graphs is (using the TI-83 graphing calculator):

fnInt (16 - x^2, x, -4, 4) = 85 1/3