Which value for x is the solution to the following equation: 10 + 2x - 4 = 2x + 1 + x?
A. x = 3
B. x= 5
C. x= 6
D. x = 7

Answer:46 inches

Step-by-step explanation:

Answer:

537.84

Step-by-step explanation:

First find the area of the box(covered with pizza): 30*30=900

Next, find the area of the circle: 24/2= radius; 12^2*3.13=452.16

Now we must find the area of the box that isn't covered in pizza.

To do this we can subtract the area of the box(covered in pizza) and the area of the pizza: 900-452.16

=537.84

Answer:

Step-by-step explanation:

If base of variable is same, add the powers

1) x² * x * x³ * x⁵ = x²⁺¹⁺³⁺⁵ = x¹¹

2) -2n² * -n⁴ * 5n³ = (-2* -1*  5 ) *n²⁺⁴⁺³ = 10n⁹

3)-3x⁴ * 2x⁵ * - x = (-3 * 2 * -1)* x⁵⁺⁴⁺¹ = 6x¹⁰

Answer:

1. \(x^{11}\)     2. 10\(n^{9}\)   3.  6\(x^{10}\)

Step-by-step explanation:

1.   \(x^{11}\)

Imagine the expression is written like this:

(x)(x) *  (x)  * (x)(x)(x) * (x)(x)(x)(x)(x)

Simply add up the number of x's and have that number be the exponent.

There are 11 x's, so it will be \(x^{11}\)

2. 10\(n^{9}\)

Do the same as above, but this time remember that two negatives equal a positive.

10\(n^{9}\)

3. 6\(x^{10}\)

Again, two negatives equal a positive.

-3 x 2 x -1 = 6

Do the same as the above two.

6\(x^{10}\)

Answer:

Y Intercept: It was 3C at the beginning of the day.

Positive or negative interval: The temperature was above zero between 8 am and 8 pm.

Increasing or decreasing interval: It was getting warmer between 2 am and 2 pm

Step-by-step explanation:

Features matching the correct statements are:

y intercept: It was ₋3°C at the beginning of the day.

Positive or negative interval: The temperature was above zero between 8 am and 8 pm.

Increasing or decreasing interval: It was getting warmer between 2am and 2 pm.

What is the temperature graph over time?

The x-axis in a time-temperature graph, sometimes known as a "x-y graph," depicts time, and the y-axis the temperature. The temperature's relationship to time is depicted on the graph.

we can notice in the given graph that T(t) represents the time and t represents the temperature of the city.

Hence we get the statements match to their features.

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(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.

We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.

Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:

x_(n+1) = x_n - f(x_n) / f'(x_n),

where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).

We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.

Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.

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Answer:

32

Step-by-step explanation:Not the best at math but it should be the same

Answer:

Solution given:

\( \frac{5 + x}{2} = 4 \)

multiplying both side by 2

\( 5 + x = 4 \times 2 \)

subtracting both side by 5

we get

x = 8 -5

x = 3

x = 3is a required answer.

Answer:

There are 0 solutions

Answer:

Zero

Step-by-step explanation:

Let's solve the equation first.

For now, I will focus on the LHS and simplify that:

3(x + 2) = 3x + 1

3x + 6 = 3x + 1

Rearrange

3x - 3x = 1 - 6

Simplify

0x = -5

0 = -5 which isn't true

So 3(x + 2) = 3x + 1 has 0 solutions.

Answer:

Answer:(3, 5) where the result of the subtraction is 2 and 0, respectively.

Step-by-step explanation:

To find x - y, we need to subtract each element of y from each element of x. That is:

x - y = (3 - 1, 3 - 4, 3 - 7, 3 - 9, 5 - 1, 5 - 4, 5 - 7, 5 - 9, 7 - 1, 7 - 4, 7 - 7, 7 - 9)

Simplifying this expression, we get:

x - y = (2, -1, -4, -6, 4, 1, -2, -4, 6, 3, 0, -2)

So the answer is the set of values (3, 5) where the result of the subtraction is 2 and 0, respectively.

Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.

To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:

Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.

Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:

100 USD x 31.50 THB/USD = 3,150 THB

Therefore, 100 USD is equal to 3,150 THB.

Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.

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Answer:

540 meters per minute, or 9 meters per second

Step-by-step explanation:

When the L shape attached is rotated about the origin (0, 0) by 90° counterclockwise it would look like option C.

A shows a rotation of 90°  clockwise about (0,0)

B shows a rotation of 180° about (0,0)

C shows a rotation of 90° anticlockwise about (0,0)

D shows a rotation of 90° anticlockwise, but the center of rotation is (1,1)

Recall that Rotation in math is a transformation that involves rotating a figure around a fixed point called the center of rotation by a certain angle in a clockwise or counterclockwise direction.

Thus, Option C above is the right answer.

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Answer:

270 cans of soda

Step-by-step explanation:

First, we need to find the volume of the box and the volume of a can.

Volume of box = \(l\times w\times h\)

\(=17\times45\times20\)

\(=15300cm^{3}\)

Volume of can = \(\pi r^{2}h\)

Since we are given the diameter and that the radius is half the diameter, \(r = 1.5cm\)

Volume of can = \(\pi \times 1.5^{2}\times 8\)

\(= 56.54866776cm^{3}\) (using calculator)

To find how many cans can fit into the box:

Number of cans = volume of box \(\div\) volume of can

\(= 270.5634033\)

Because we are trying to find how many full whole cans can fit in the box, ∴ 270 cans of soda can fit in the box.

Hope this helps :)

The equation for the volume of the solid formed when the region bounded by the curves Xright = f(y), Xleft = g(y), y = 1, and y = 2 is revolved about x = 0 using the Ring or Washer method is V = π ∫[1,2] (f(y)² - g(y)²) dy.

To find the volume using the Ring or Washer method, we divide the region into infinitely thin rings or washers perpendicular to the x-axis and integrate their volumes. In this case, the region is bounded by the curves Xright = f(y), Xleft = g(y), y = 1, and y = 2.

For each infinitesimally thin ring or washer, the radius is given by the difference between the two curves, which is (f(y) - g(y)). The area of the ring or washer is π(radius_outer² - radius_inner²). Squaring the difference between the curves gives us (f(y)² - g(y)²).

To obtain the volume of the solid, we integrate the areas of the rings or washers over the interval [1,2] with respect to y. Hence, the equation for the volume is V = π ∫[1,2] (f(y)² - g(y)²) dy.

This equation represents the volume of the solid formed when the given region is revolved about x = 0 using the Ring or Washer method.

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The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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EXPLANATION

The expression 9 3/10 first you be converted into a improper fraction as follows:

9 3/10 = 93/10

Applying the same operation for 2 7/10:

2 7/10 = 27/10

Then, subtracting both fractions:

93/10 - 27/10 = 66/10

Simplifying the fraction:

33/5

The answer is 33/5

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

To determine which interval has the most confidence in capturing the population mean, we need to look at the confidence level associated with each interval. A confidence interval is a range of values that we believe contains the true population parameter.

If we have three intervals with different confidence levels, the interval with the highest confidence level would be the one with the most confidence in capturing the population mean. For example, if Interval A has a confidence level of 90%, Interval B has a confidence level of 95%, and Interval C has a confidence level of 99%, then Interval C would have the most confidence in capturing the population mean.

It's important to note that the level of confidence we choose affects the width of the interval. The higher the confidence level, the wider the interval will be. Therefore, we need to balance the desire for a high level of confidence with the need for a narrow interval.

In summary, the interval with the highest confidence level is the one with the most confidence in capturing the population mean. Confidence intervals are a powerful tool in statistics that allows us to estimate population parameters from a sample with a known degree of uncertainty.

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Hello,

Pythagorean theorem :

x² = 8² + 8²

x² = 64 + 64

x² = 128

x = √128

x = √(64 × 2)

x = √(8² × 2)

x = 8√2

→ Answer D

The perimeter of the rhombus ABCD is 20 units.

Rhombus is a two dimensional figure which has all the four sides equal to each other.

Perimeter is the total length of the boundary of a shape.

Since the given quadrilateral ABCD is a rhombus, all length of all sides are equal.

Perimeter of a rhombus = 4a, where a is the length of one side.

If two end coordinates (x₁, y₁) and (x₂, y₂) of a line is given,

Length = √[(x₂ - x₁)² + (y₂ - y₁)²]

We have end points of AB as A(1, 1) and B(-2, -3).

Length of AB = √[(-2 - 1)² + (-3 - 1)²]

                      = √[(-3)² + (-4)²]

                      = √[9 + 16]

                      = √25

                      = 5 units

Perimeter = 4 × 5 = 20 units.

Hence the perimeter of the rhombus is 20 units.

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Answer:20 units

Step-by-step explanation: I got it right on e2020

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

The number of fiction books in the library are 324, as found by unitary method.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given: There are 5 non-fiction books for every 9 fiction books. Total 130 non-fiction books are there in the library.

To find: number of fiction books.

Finding: By unitary method, For every 5 non-fiction books, there are 9 fiction books.

For every 1 non-fiction book, there are 9/5 fiction books.

For every 130 non-fiction books, there are 9/5 × 130 = 324 fiction books.

Hence, The number of fiction books in the library are 324, as found by unitary method.

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(COMPLETE QUESTION:in a small library there are 5 nonfiction books for every 9 fiction book there are 130 nonfiction book. How many fiction books are there in the library?)

If an airplane flies a total distance of 450km in 3/4 hours, the plane is traveling at an average speed of 600 kilometers per hour.

The average speed refers to the quotient of the total distance divided by the total time used by the airplane to cover the distance.

Based on the distance, time, and speed equation, we can state that there exists an equation relationship, which is given as distance = time x speed.

The total distance flown by airplane = 450 kilometers

The total time used by the airplane to travel the distance = ³/₄ hours or 0.75 hours

Thus, the average speed of the airplane is 600 kilometers per hour (450 ÷³/₄).

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The slope is 2/3 and the y-intercept is 4, then the equation of the line in slope-intercept form would be y=2/3x+4. This means that the line has a slope of 2/3 and crosses the y-axis at 4.

The slope-intercept form of a linear equation is written as y=mx+b, where m is the slope of the line and b is the y-intercept. The slope of the line represents the rate at which the line is rising or falling, while the y-intercept represents the point where the line crosses the y-axis.

To find the equation of a line in slope-intercept form, you need to know its slope and y-intercept. The slope is usually given as a fraction or a decimal, while the y-intercept is a single number.

To write the equation of a line in slope-intercept form, you start by substituting the slope and y-intercept values into the formula. Then, simplify the equation by multiplying the slope by the x-value and adding the y-intercept to get the value of y.
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Answer:

0

Step-by-step explanation:

Subtract 2 from 2.

2 - 2 = 0

Answer:

1.2 x 10 to the power of 2

Step-by-step explanation:

2 mins= 120 seconds

120 seconds = 1.2 x 10 to the power of 2

To find the map's scale, use the formula below:

In this exercise,

map distane = 9 inches

distance on the ground = 3 miles.

So, the map scale is:

Dividing both numerator and denominator by 3:

The map scale is: 3 inches : 1 mile.

Work Shown:

8 x 22

8 x (20 + 2)

8 x 20 + 8 x 2

160 + 16

176