Brian cut a piece of wood 10 1/2 m long into three equal pieces. What is the length of one of the pieces of wood?

Answer:

A

Step-by-step explanation:

According to the given question.

Total number of shirts, n = 12

Number of shirts to be selected, r = 3

As we know, the total number of ways of selection of r objects from n objects at a time without replacement is given by

C(n, r) = n!/r!(n - r)!

9514 1404 393

Answer:

Step-by-step explanation:

Let r, c, h represent the numbers of meals eaten in a restaurant, car, and at home, respectively. The problem statement tells us of the relations ...

  r + c + h = 193

  -r + c + h = 15

  r + 0c -h = 30

Add the last two equations:

  (-r +c +h) +(r -h) = (15) +(30)

  c = 45

Add the first two equations:

  (r + c + h) +(-r + c + h) = (193) +(15)

  2c +2h = 208

  h = 104 -c = 59 . . . . solve for h, substitute for c

The last equation can be used to find r.

  r = 30 +h = 30 +59 = 89

89 meals are eaten in a restaurant; 45 meals in a car; and 59 at home.

Answer:

Volume

Step-by-step explanation:

Answer:

Volume

Step-by-step explanation:

Answer:

.5

Step-by-step explanation:

Going from WHB to RVM means that we need the number to multiply by to get to RVM, the smaller triangle.

Multiplying by .5 is the same as dividing by 2.

20 x .5 = 10

16 x .5 = 8

12 x .5 = 6

the probability of randomly selecting the correct unscrambling would be 1/n!. As the length of the word increases, the probability of randomly selecting the correct unscrambling becomes increasingly small due to the exponential growth of possible arrangements.

The probability of coming up with the correct unscrambling through random letter selection depends on the specific word being unscrambled and the number of possible permutations. In general, the probability can be quite low due to the large number of possible combinations.

To calculate the probability, you would need to know the total number of possible letter arrangements and the number of arrangements that result in the correct unscrambling. Let's assume we have a word with n letters. The total number of possible arrangements is n!, which represents n factorial (the product of all positive integers from 1 to n).

The number of arrangements that result in the correct unscrambling depends on the specific word and the length of the word. For example, if the word has 4 letters, there are 24 possible arrangements (4!). However, only one of those arrangements is the correct unscrambling.

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Answer:

2.25 +3/4x = y

Step-by-step explanation:

2.25 +3/4x = y

The absolute maximum value of the function f(t) is 2 and the absolute minimum value of the function f(t) is -10 at t = -1 and t = 5 respectively.

Given function: The given capability can be communicated as: f(t) = t  3t, [1, 5]. f(t) = t (1 - 3) = - 2tWe must determine the given capability's greatest and absolute smallest benefits. To determine the maximum and minimum values of the given function, the following steps must be taken: Step 1: Step 2: Within the allotted time, identify the function's critical numbers or points. Step 3: At the critical numbers and the ends of the interval, evaluate the function. To decide the capability's outright most extreme and outright least qualities inside the given interval1, analyze these numbers. Assuming we partition f(t) by t, we get f′(t) = - 2.

The basic focuses are those places where the subsidiary is either unclear or equivalent to nothing. Because the subordinate is characterized throughout the situation, there are no fundamental focuses within the allotted time.2. How about we find the worth of the capability toward the finish of the span, which is f(- 1) and f(5): f(-1) = -2(-1) = 2f(5) = -2(5) = -10. This implies that irrefutably the greatest worth of the capability f(t) is 2 and unquestionably the base worth of the capability f(t) is - 10 at t = - 1 and t = 5, individually. " The response that is required is "The absolute maximum value of the function f(t) is 2 and the absolute minimum value of the function f(t) is -10 at t = -1 and t = 5 respectively."

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Answer:

17 degrees F

Step-by-step explanation:

11 - (-6) = 17

Subtracting a negative is the same as adding.

Answer:

Step-by-step explanation:

9 1/6 ÷ 5 + 3 1/3 = \(\frac{55}{6}*\frac{1}{5}+\frac{10}{3}\)

                         \(=\frac{55}{30} + \frac{10}{3}\\\\= \frac{55}{30}+\frac{10*10}{3*10}\\\\=\frac{55}{30}+\frac{100}{30}\\\\=\frac{55+100}{30}\\\\=\frac{155}{30}\\\\=\frac{31}{6}\\\\=5\frac{1}{6}\)

Answer:

0.85

Step-by-step explanation:

4a-2b+c/2abc

where a=5,b=2,c=1

4(5)-2(2)+1/2×5×2×1

20-4+1/20

17/20

0.86

Answer:

32

Step-by-step explanation:

Hope it helps!!

The result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

To subtract the expression 7x - 9 from 2x² - 11, we need to distribute the negative sign to every term within the expression 7x - 9, and then combine like terms.

First, let's distribute the negative sign:

2x² - 11 - (7x - 9)

Now, distribute the negative sign to each term within the parentheses:

2x² - 11 - 7x + 9

Next, let's combine like terms:

2x² - 7x - 2

Therefore, the result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

In this expression, the highest power of x is 2, which means it is a quadratic expression. The coefficient of x² is 2, and the coefficient of x is -7. The constant term is -2.

This quadratic expression can be further simplified or factored if needed, but the subtraction process is complete with the result 2x² - 7x - 2.

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Answer:

80.6

Step-by-step explanation:

1%-> 6.2

13%-> 6.2x13=80.6

Answer:

X>8-3

X>5

So choose the third one

Step-by-step explanation:

Answer:

x-8>-3

x>-3+8

x>5

because in 2 step + - = - but the sign should use of greater number so in last step the value of 5 is + .

Answer:

15/2 I think

Step-by-step explanation:

The partial derivatives of the original function f(x,y) = 6x3 − 9xy3 with respect to x and y can be found by taking the derivative of the original function with respect to one variable while holding the other variable constant.

The original function is given as f(x,y) = 6x3 − 9xy3. The partial derivatives with respect to x and y can be found by taking the derivative of the original function with respect to one variable while holding the other variable constant.

The partial derivative with respect to x is found by taking the derivative of the original function with respect to x while holding y constant:

∂f/∂x = 18x2 - 9y3

The partial derivative with respect to y is found by taking the derivative of the original function with respect to y while holding x constant:

∂f/∂y = -27xy2

Therefore, the partial derivatives of the original function f(x,y) = 6x3 − 9xy3 with respect to x and y are ∂f/∂x = 18x2 - 9y3 and ∂f/∂y = -27xy2, respectively.

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Answer:

6

Step-by-step explanation:

There are inverses for sine, cosine, tangent, secant, cosecant, and cotangent.

Answer:

√(4.93 × 17.1) is about √(5 × 20) = √100 = 10. 0.209 is about 0.2, or 1/5.

So we have 10/0.2 = 100/2 = 50.

The standard deviation is best described as a measure of the spread of a distribution around its mean or expected value.

What is standard deviation?

Standard deviation (SD) is a numerical measurement of how spread out or dispersed a set of data is. It can be expressed as the square root of variance (s²), which is the average deviation of a data point from the mean.

What is the formula for standard deviation?

The formula for standard deviation can be written as:

s = √(Σ (Xi - µ)² / (n - 1))

where:s = standard deviation

           Σ = sum

           Xi = each data point

           µ = the mean of the data points

           n = number of data points

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The cost of labor per hour the technician worked on the computer is $35.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Ellie had a computer that needed to be fixed. She brought it to the shop for repairs.

The technician worked 3.5 hours on the computer and charged $187 dollar for parts.

The total cost was $309.50.

The expression for the total cost for $x labor charges each hour he worked on the part.

Then,

3.5 × x + 187 = 309.50

Subtracting 187 from each side of the expression.

3.5x + 187 - 187 = 309.50 - 187

3.5x = 122.5

Dividing each side of the expression by 3.5,

( 3.5x / 3.5 ) = 122.5/ 3.5

x = 35

Therefore, the cost of labor per hour is $35.

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We can draw the conclusion that there is insufficient evidence to support the idea that the model explains the relationship between the independent  variable and dependent variables if the global test of statistical significance for a regression model does not reject the null hypothesis.

The global test of statistical significance for a regression model is used to assess the overall explanatory power of the model. If the global test of statistical significance does not reject the null hypothesis, this indicates that the model does not explain the relationship between the  independent variable and dependent variables as expected. This could be due to a lack of sufficient data, a poorly constructed model, or simply a lack of correlation between the variables. In any case, the results of the test should be interpreted with caution, and further investigation into the model and data may be necessary.

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tan(π/2) will have the value undefined .

Here,

We know that  tan(x) is defined as  sin(x)/cos(x):

tan(π/2):

sin(π/2) = 1

cos(π/2) = 0

tan(π/2) = 1/0

tan(π/2) = undefined because 0 is in denominator.

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If the angle of depression to the buoy is 250, then the buoy is approximately 47.2 meters from the base of the lighthouse.

What is angle of depression ?

The angle of depression is the angle between a horizontal line of sight and the line of sight from an observer to a point or object that is lower than the observer. It is commonly used in trigonometry and geometry problems that involve the height or depth of an object relative to an observer or the ground.

We can start by drawing a diagram to visualize the situation.

In the diagram, A represents the location of the lighthouse, B represents the location of the buoy, and x represents the distance from the base of the lighthouse to the buoy that we want to find.

Since the angle of depression from the lighthouse to the buoy is 25 degrees, we know that angle ABx is also 25 degrees. We also know that the height of the lighthouse above sea level is 22 meters.

We can use the tangent function to find the value of x:

tan(25°) = opposite / adjacent

tan(25°) = 22 / x

Solving for x, we get:

x = 22 / tan(25°)

x ≈ 47.2 meters

Therefore, the buoy is approximately 47.2 meters from the base of the lighthouse.

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Answer:

3.6%

Step-by-step explanation:

This is an example of dependent events. When events are dependent, you have to multiply the probability of each event that happens after each other. Probability is desired outcome over all possible outcomes. For the milk chocolate, there are 5 pieces we can pick out of 16, so it's 5/16. Next, the probability of dark chocolate is 3/15 (There is one less piece of chocolate overall now). For the white chocolate, the possibility is 8/14. So now we have to multiply:

5*3*8             120           1

______   =  _____  =  ___ = (about) 0.036

16*15*14        3360        28

So, that's 3.6%

Hope this helps!

(a) False. The set {x∈R^n | Ax=b} is not necessarily convex. It depends on the matrix A and the vector b. For example, if A is a non-convex matrix, then the set of solutions {x∈R^n | Ax=b} will also be non-convex.

(b) True. The set {(x₁,x₂) | x₂ ≤ 3x₁²} is convex. The inequality defines a downward parabolic region, and any line segment connecting two points within this region will lie entirely within the region. (c) False. Not all polygons on the R² plane are convex. For example, a polygon with a concave portion, such as a crescent shape, would not be convex.

(d) True. If S⊆R² is convex, then it must enclose a region of finite area. Convex sets do not have "holes" or disjoint parts, so they form a connected and bounded region. (e) False. If S₁⊆R² and S₂⊆R², and S₁∩S₂=ϕ (empty set), then S₁∪S₂ can be convex. If S₁ and S₂ are both convex sets that do not overlap, their union can still be a convex set. (f) True. If S₁⊆R² and S₂⊆R² are both closed sets, then their union S₁∪S₂ must also be closed. However, it may or may not be convex. The convexity of the union depends on the specific sets S₁ and S₂.

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Answer:

45 meters

Step-by-step explanation:

graph the equation and find the y-intercept

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(x-4\leq -3\\x\leq 1\)