Solve the inequality and graph the solution.
8>
–
3a+2
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Answer:

x= 25°

Step-by-step explanation:

3x-10 = 25 + x + 15 (ext ∠ of triangle equals to the sum of interior opposite ∠'s)

3x - x = 40 +10

2x= 50

x= 50/2

x= 25°

The volume of wheat in the silo is about 1,570 feet and it would take about 63 minutes at the given rate for the silo to empty fully.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Various forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry. We will discover how to find the volume for each of these shapes.

The silo is in the shape of cone, so use the formula of volume of a cone to find volume of wheat the tank can hold.

The formula to find volume of a cone is:

V = 1/3 · πr2h -----(1)

Substitute π ≈ 3.14, r = 10 and h = 15 in (1).

V ≈ 1/3 · 3.14 · 102 · 15

V ≈ 1/3 · 3.14 · 100 · 15

V ≈ 1,570

So, the volume of wheat in the silo is about 1,570 feet.

Silo can release wheat from its bottom at the rate of 25 cubic feet per minute.

= 1,570 / 25

= 62.8

≈ 63

Hence, it would take about 63 minutes for the silo to empty fully.

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Answer:

x ≈ 5.6 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin44° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{y}\) = \(\frac{x}{8}\) ( multiply both sides by 8 )

8 × sin44° = x , then

x ≈ 5.6 cm ( to 1 dec. place )

1. A simplified expression for the volume of the above prism is 15x³ cubic units.

2. Destiny made her mistake in step 1, and the correct solution with steps is shown below.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 3x × 5x ×  x

Volume of rectangular prism = 15x³ cubic units.

Question 2.

Given the following expression, \(\frac{5(x+2)-(8-x)}{2}\)

Step 1: we would open the bracket;

\(\frac{5x\;+\;10\;-\;8\;+\;x}{2}\)

Step 2: we would collect like-terms and evaluate;

\(\frac{5x\;+\;x\;+\;10\;-\;8}{2}\\\\\frac{6x\;+\;2}{2}\)

Step 3: we would split;

\(\frac{6x}{2}+ \frac{2}{2}\)

Step 4: we would divide;

3x + 1

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We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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The temperature at 3 AM is about 53 degrees Fahrenheit.

The average kinetic energy of the particles in a medium, such as a gas, liquid, or solid, is measured by its temperature. It is a basic physical characteristic that governs the rate and amount of heat transmission between two bodies that are in thermal contact.

A thermometer is commonly used to measure temperature. It does this by detecting changes in a substance's physical characteristics that change with temperature, such as the expansion or contraction of a liquid or the resistance of a wire.

We are aware that a sinusoidal function models temperature, and the following information is crucial:

A high of 80 degrees is reached at 5 PM, or 17:00 in a 24-hour period.

The day's average temperature is 60 degrees.

We're looking for the temperature at three in the morning, or three in 24-hour time.

We can utilize the fact that the temperature moves through one full cycle in a 24-hour day to determine the frequency. As the time frame is 24 hours, the frequency is:

B = 2π/24 = π/12

To find the phase shift, we can use the fact that the high temperature occurs at 5 PM, which is 8 hours after noon (when the temperature starts to rise). So the phase shift is:

C = (8/24) * 2π = (1/3)π

To find the amplitude, we can use the fact that the temperature swings 10 degrees above and below the average. So the amplitude is:

A = 10

Finally, we can use the formula to find the temperature at 3 AM:

f(x) = A sin(B(x - C)) + D

f(3) = 10 sin(π/12(3 - (1/3)π)) + 60

f(3) ≈ 53.4

So the temperature at 3 AM is about 53 degrees Fahrenheit.

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Answer: 20 inches

Step-by-step explanation:

From the question, a television screen has a length of 15 inches while the diagonal of the TV is 25 inches. To calculate the width, we will use the hypoteneous rule.

Hypotenuse² = length² + width²

25² = 15² + width²

width² = 25² - 15²

width² = 625 - 225

width² = 400

width = ✓400

width = 20

The width of the TV is 20 inches.

The estimated per unit selling price of the new line of clothing is $X.

What is the estimated per unit selling price of the new line of clothing?

The estimated per unit price selling for the new line of clothing can be determined by considering various cost factors.

Using the 80% learning curve, the direct labor cost is calculated based on the time required to complete the 50th item, derived from the time for the first item.

This labor cost is obtained by multiplying the time for the 50th item by the direct labor rate. The total manufacturing cost includes the direct labor cost, production material cost, factory overheads (125% of direct labor), and packing costs (75% of direct labor).

Finally, a desired profit of 20% of the total manufacturing cost is added to determine the unit selling price. This estimation encompasses the expenses related to labor, production materials, factory overheads, packing, and desired profit margin.

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The square root of 0.000169 using division method is  0.0130.

Given, 0.000169To find the square root of 0.000169 using division method:

Step 1: Pair the digits starting from the decimal point. If the number of digits in the decimal part is odd, then pair the digit preceding the decimal point to the leftmost digit.0. 00 01 69

Step 2: Starting from the left, we will pair up the digits in the decimal portion by putting a bar over a pair of digits. We will also pair up the digits to the left of the decimal point, if any, in the same way.0. 0 0|01| 69

Step 3: We have to find a number such that when it is multiplied by itself then the product must be less than or equal to 1.69. Clearly, 1 × 1 = 1 is less than 1.69.0. 0 1|01| 69- 1 | -| ---------| -| ------|1 69|--------------|1 69

Step 4: Bring down the next two decimal places 00. Multiply the divisor by 20 and write it as the new dividend below the last dividend. Double the quotient digit, put it in the quotient and guess a digit to be put at the end of the divisor to make it a new divisor.

The divisor now becomes the sum of the previous divisor and the new digit.0. 00 01 |01| 69 - 1 | -| ---------| -| ------|1 69|--------------|1 69. . . 4 0 .4× 40=160 (the largest number whose product with the quotient is less than 169.)0.

00 014|01| 69- 1 | 0.4| ---------| -| ------| 1 09|--------------|1 69

Step 5: Repeat the process till the required number of decimal places is obtained. We require the square root correct to four decimal places.0. 0001 69| --------------|0.0130 2 5 0 1 4 1 0 0 0 0 0 0|---------------|130The square root of 0.000169 using division method is 0.0130 (correct to 4 decimal places).Therefore, the correct option is 0.0130.

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Answer:

I believe the boy would have 1 different outfit due to the only pair of pants but there also could be 7 different outfits if he wore the same pants each day with a different shirt and tie or shirt and jacket.

Step-by-step explanation:

I do not know if I’m correct but I hope I am. I still hope this helps! ^.^’

Answer:

-4(3x-7)=52

multiply -4 in bracket

(-4×3x(-4×-7)=52

-12x+28=52

-12x=52-28

-12x=24

x=-2

The value of the expression is the same as the second option: !a || (b & !c).

Boolean variables are variables that can have only one of two possible values: true or false. They are named after the 19th-century mathematician George Boole, who developed a system of logic based on binary values. In computer programming, boolean variables are commonly used to represent conditions or states that can be either true or false, such as whether a certain condition is met or whether a certain task has been completed.

The expression !(a & !(b & !c)) can be simplified using De Morgan's laws and distributive property to obtain:

!(a & !(b & !c)) = !a || (b & !c)

Therefore, the value of the expression is the same as the second option: !a || (b & !c).

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The percentage of the sheets with no air bubbles is given as follows:

13.53%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are listed and explained as follows:

The mean for this problem is given as follows:

\(\mu = 2\)

The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:

P(X = 0) = e^-2 = 0.1353 = 13.53%.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

x+1/2=21/14

x = ?

Step 02:

14 (x + 1 ) = 2 * 21

14x + 14 = 42

14x = 42 - 14

x = 28 / 14

x = 2

The answer is:

The value of x is 2

There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.

1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
  a. Frequency distribution: A summary of the number of times each value appears in the dataset.

 b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.

 c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.

2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:

 a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.

  b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.

  c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.

Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.

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The mass of the marble is 2.7 x 1 x 0.6 x 0.3 x 1000 = 162.6 kg. The density of the marble is 2.7 g/cm3. To calculate the mass of the marble, multiply its volume by its density and then multiply that result by 1000.

Step 1: Determine the volume of the marble using the given dimensions.

Volume = 1 m x 0.6 m x 0.3 m = 0.18 m3

Step 2: Multiply the volume of the marble by its density to get the mass.

Mass = 0.18 m3 x 2.7 g/cm3 x 1000 = 162.6 kg

The mass of the marble can be determined by first calculating its volume. The given dimensions of the cuboid are 1 m by 0.6 m by 0.3 m. The volume of the marble is therefore 0.18 m3. The density of the marble is 2.7 g/cm3. To calculate the mass of the marble, multiply its volume by its density and then multiply that result by 1000. This gives a result of 162.6 kg. Therefore, the mass of the marble is 162.6 kg.

the complete question is : A culpture need to lift a piece of marble. It is a cuboid with dimenions 1 m by 0. 6 m by 0. 3 m. Marble has a denity of 2. 7g/cm cubed. What is the mass of the marble in kg?

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Answer:

1294000

Step-by-step explanation:

There are two ways to do this: The short way and the long way:

The largest angle is \(\frac{7a}{4}\) and the smallest angle is \(\frac{3a}{4}\).

In this case, we have the angles \(\frac{5a}{2}, \frac{3a}{4}, and \frac{7a}{4}\). So we can set up the equation:

\(\frac{5a}{2} + \frac{3a}{4} + \frac{7a}{4} = 180\)

To solve for "a", we can simplify the left side of the equation by finding a common denominator:

\(\frac{(10a + 3a + 7a)}{4} = 180\)

Simplifying the left side gives:

\(\frac{20a}{4} = 180\)

And further simplifying gives:

5a = 180

Dividing both sides by 5 gives:

a = 36

Now that we know the value of "a", we can substitute it back into each angle expression to find their actual values:

\(\frac{5a}{2} = \frac{5(36)}{2} = \frac{903a}{4} = \frac{3(36)}{4} = \frac{277a}{4} = \frac{7(36)}{4} = 63\)

Therefore, \(\frac{7a}{4} = 63\) is the largest angle and \(\frac{3a}{4} = 27\) is the smallest angle.

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Answer:

ok i'm just gonna guess 2

Step-by-step explanation:

it might be wrong

The scalar multiplication of -3w, where w = (-2, 4), is (-6, -12).

Scalar multiplication involves multiplying a vector by a scalar, which is simply a number. In this case, we are multiplying the vector w by the scalar -3. To do this, we multiply -3 by each component of w, giving us (-3 * -2, -3 * 4) = (6, -12).

Geometrically, scalar multiplication stretches or shrinks a vector by a factor of the scalar. If the scalar is positive, the vector will be stretched or shrunk in the same direction. If the scalar is negative, the vector will be stretched or shrunk in the opposite direction (i.e., it will be flipped around the origin).

In this case, because the scalar is negative, the resulting vector is flipped around the origin. We can visualize this by drawing the vector w = (-2, 4) on a coordinate plane and then drawing the vector -3w = (6, -12) starting from the same point. We'll see that -3w is a reflection of w across the origin.

It's important to note that scalar multiplication is a fundamental operation in linear algebra, and it has many applications in fields such as physics, engineering, and computer graphics. It allows us to scale and transform vectors, which are often used to represent physical quantities like forces, velocities, and displacements.

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The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Answer:

13x + 8

Step-by-step explanation:

16x - (3x + 9) + 17    

16x + -3x + -9 + 17

 Where there is a negative in front of the parenthesis you can imagine a -1 in place.

16x - 3x = 13x     and -9 + 17= 8

So all that's left is 13x + 8

Hope that helps and have a great day!

find the opposite of ( 3x + 9 ) - since it's in the negative

combine 16x and -3x to get 13x

add - 9 and 17 to get 8 and finally you should have ...

hope that helps :) please ask me if you have any questions related

Answer:

1) 1/2 *bh

2) 2s+4

3) 35+2m

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

The percent chance that both dice show an even number on their first toss is 25%.

An experiment consists of tossing two 12-sided dice. The task is to find the percent chance that both dice show an even number on their first toss.
To calculate the probability, we need to determine the total number of possible outcomes and the number of favorable outcomes.
First, let's find the total number of possible outcomes. Each die has 12 sides, so the total number of outcomes for each die is 12. Since we are tossing two dice, we multiply the total number of outcomes for each die by itself: 12 * 12 = 144.
Next, let's find the number of favorable outcomes. In this case, a favorable outcome occurs when both dice show an even number on their first toss. Since there are six even numbers on each die (2, 4, 6, 8, 10, 12), the number of favorable outcomes is 6 * 6 = 36.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: 36 / 144 = 0.25.
To express this probability as a percent, we multiply the decimal by 100: 0.25 * 100 = 25%.

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Answer:

10.8

Step-by-step explanation:

We need to use the cosine:

cos(26deg) * 12 ~= 0.89879404629 * 12 ~= 10.7855285556 ~= 10.8

Step-by-step explanation:

3+0+4+7+0+4+5+3+6+8/10

40/10

4

Answer:

The mean is 4.

Step-by-step explanation:

When you add 3+0+4+7+0+4+5+3+6+8 you get 40 and because there are 10 numbers you would divide 40 by 10 and get 4.

Mean-the average of all of the numbers in a data set...to find the mean you simply add all of the given numbers together and then divide that sum by the total amount of numbers given, then you will get your mean.

HOPE THIS HELPS!!!!!!!

Answer:

Step-by-step explanation:

Given that, There are 16 songs that are put on the next CD.And there are 8.75 more songs.Also, 60% of the songs are removed. Based on the above information, the calculation is as follows:

16+(0.875 x 16)=17.4

17.4(0.60 x 17.4)= 181.656 = 182 :)