what are the blocked words?

Answer: About 5 bucks

Step-by-step explanation: Divide 287 by 60 which would equal 4.78333333333

Answer: 2,000 milliliters.  

Step-by-step explanation:

Hi, to answer this question we have to add the amount of water and the amount of sports drink that he drank:

1 liter + 1 liter = 2 liters of liquid.

Finally, we have to convert the result into milliliters.

Since 1 liter = 1000 liters

We have to multiply the liters drank by 1000.

2 x 1000 = 2,000 milliliters.  

Feel free to ask for more if needed or if you did not understand something.  

Answer:

44

Step-by-step explanation:

6x +22 + 7x + 16 = 90

13x +38 =90

13x = 52

x = 4

7 x 4 +16 = 44

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

420 unique combinations

Step-by-step explanation:

Simply multiply:

2 * 5 * 6

There are 2 choices for the first set, and 5 choices for the second set. Each of the 2 choices from the first set can be combined with each of the 5 choices from the second set. So, there are 2 times 5 combinations from the first and second sets.

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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c. 11%. This means that the average forecasted demand deviates from the actual demand by approximately 11%.

The Mean Absolute Percent Error (MAPE) measures the accuracy of a forecast by calculating the percentage difference between the actual demand and the forecasted demand. To calculate the MAPE, you can follow these steps:

1. Calculate the absolute percent error (APE) for each day by subtracting the forecasted demand from the actual demand, taking the absolute value of the difference, and dividing it by the actual demand. Here are the APE values for each day:
  Day 1: |(16-20)/16| = 20%
  Day 2: |(19-20)/19| = 5.26%
  Day 3: |(21-20)/21| = 4.76%
  Day 4: |(21-20)/21| = 4.76%
  Day 5: |(22-20)/22| = 9.09%
  Day 6: |(17-20)/17| = 17.65%

2. Calculate the mean of the APE values by summing them up and dividing by the total number of days:
  (20% + 5.26% + 4.76% + 4.76% + 9.09% + 17.65%)/6 ≈ 10.98%

3. Finally, multiply the mean APE by 100 to convert it into a percentage. This gives us the MAPE:
  10.98% * 100 = 10.98%

Therefore, the MAPE for the given dataset is approximately 10.98%.

c. 11%. This means that the average forecasted demand deviates from the actual demand by approximately 11%.

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Answer:

-6/7

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 1 / 3 - -4

-6 / 7

Answer:

P(red, blue) = 1/12

Step-by-step explanation:

To solve this problem, we can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:
- P(X=k) is the probability of getting k nonconforming washing machines in the sample
- n is the sample size, which is 10 in this case
- p is the probability of getting a nonconforming washing machine, which is 0.08
- (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n without replacement, and is calculated as n! / (k! * (n-k)!)

So, to find the probability of getting 1 nonconforming washing machine in the sample, we plug in k=1:

P(X=1) = (10 choose 1) * 0.08^1 * (1-0.08)^(10-1)
P(X=1) = 10 * 0.08 * 0.9227
P(X=1) = 0.0738

Therefore, the probability of getting 1 nonconforming washing machine in the sample is approximately 0.0738, or 7.38%.

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Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

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On sοlving the given trigοnοmetric expressiοn using the trigοnοmetric identity, we fοund that it is equal tο tan (π/35).

Mathematical expressiοns cοnsist οf at least twο numbers οr variables, at least οne maths οperatiοn, and a statement. It's pοssible tο multiply, divide, add, οr subtract with this mathematical οperatiοn. A finite cοmbinatiοn οf symbοls that are well-fοrmed in accοrdance with cοntext-dependent principles is referred tο as an expressiοn οr mathematical expressiοn.

There are twο sοrts οf expressiοns in mathematics: numerical expressiοns, which οnly cοntain numbers, and algebraic expressiοns, which alsο include variables. Expressiοns can be categοrised as arithmetic/numerical expressiοns, fractiοnal expressiοns, οr algebraic expressiοns depending οn the terms they cοntain.

The given trigοnοmetric expressiοn is:

\(\frac{tan (3\pi /7) - tan (2\pi /5)}{1+tan (3\pi /7) tan (2\pi /5)}\)

tan (a-b) = sin(a-b)  / cοs (a-b)

    = (sin a cοs b - cοs a sin b) / (cοs a cοs b + sin a sin b)

  Dividing the numeratοr and denοminatοr by (cοs a cοs b), we get,

tan (a-b) = (tan (a) - tan (b)) / (1+tan a tan b)

This expressiοn is similar tο the given expressiοn.

Cοmparing,

a = 3π/7

b = 2π/5

\(\frac{tan (3\pi /7) - tan (2\pi /5)}{1+tan (3\pi /7) tan (2\pi /5)}\)  = tan( 3π/7 - 2π/5) = tan (π/35)

Therefοre on solving the given trigonοmetric expression using the trigonοmetric identity, we found that it is equal tο tan (π/35).

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The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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Answer:

32 tbsp

Step-by-step explanation:

740-340=400

400/12.5=32

32

In question 8, we have defined a checkerboard matrix, and we need to answer three parts. In 8.1, we will write out the 4x4 checkerboard matrix. In 8.2, we will find the basis for the null space of the matrix and determine the nullity and rank of the matrix. In 8.3, we will discuss the rank and nullity of a 17x17 checkerboard matrix.

8.1) The 4x4 checkerboard matrix will have alternating 1s and 0s based on the pattern defined by the sum of the row and column indices. The matrix will look as follows:

A =   [1, 0, 1, 0],

       [0, 1, 0, 1],

       [1, 0, 1, 0],

       [0, 1, 0, 1]]

8.2) To find the basis for the null space of matrix A, we need to find the vectors that satisfy the equation Ax = 0, where x is a vector. The nullspace is the set of all solutions to this equation. In this case, we can observe that any vector of the form [x, -x, x, -x] will be in the null space. Therefore, the basis for the null space will be a single vector, such as [1, -1, 1, -1]. The nullity of A, which is the dimension of the null space, will be 1. The rank of A can be determined by subtracting the nullity from the number of columns, so the rank will be 4 - 1 = 3.

8.3) The rank and nullity of the 17x17 checkerboard matrix will follow a similar pattern. The matrix will have alternating 1s and 0s based on the pattern defined by the sum of the row and column indices. Since the matrix is square, we can expect that the rank and nullity will have the same value. In this case, the rank and nullity of the 17x17 checkerboard matrix will both be 17/2 = 8.5. However, since rank and nullity must be integers, the rank, and nullity will be 8, with an equal number of linearly independent rows and zero rows.

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Answer:

y = x + 8

Step-by-step explanation:

b = 5 - (1)(-3)

b = 5+3

y = x+8

Answer:

3*2+4=6+4=10 and 4*6+6-10=24+6-10=30-10=30

Answer:

\(\huge\boxed{y=\dfrac{4}{3}x-1}\)

Step-by-step explanation:

Let

\(k:y=m_1x+b_1\\l:y=m_2x+b_2\)

then

\(k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\)

==========================================

We have:

\(y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}\)

Let

\(y=m_2x+b_2\)

Therefore

\(m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2\)

Substitute

\((0,\ -1)\to x=0;\ y=-1\)

\(-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1\)

i attached a pdf, hopefully it helps you understand!

The expression that models the area of the new room once the wall is knocked down is 4x^2 + 13x - 4.

To find the area of the new room, we need to multiply the length by the width. The length of the first room is given as (2x + 7), and the length of the second room is given as (2x - 1). Since the wall is being knocked down, we can combine the lengths to get the new length of the room, which is (2x + 7) + (2x - 1) = 4x + 6.

Now, we multiply the new length (4x + 6) by the width, which remains the same in both rooms. Let's assume the width is 'w.' So, the area of the new room is (4x + 6) * w.

Since we are not given the width value, we cannot simplify the expression further. Therefore, the area of the new room can be represented as (4x + 6) * w, which is equivalent to 4xw + 6w.

The expression that models the area of the new room once the wall is knocked down is 4x^2 + 13x - 4.

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Answer:

610

Step-by-step explanation:

31 x 10= different flavour and topping combination

x2 = for the whipped cream different option

After 4 years ratio of their ages be 2 : 1

How do you calculate the ratio?

The steps of calculating a ratio are as follows:

Establish the ratio's function. Choosing what you want your ratio to show should be your first step. Every ratio will use a different set of data, so you need to make sure you are using the right data to provide you with the information you need.

Organize your formula. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.

Make the equation work. To calculate your ratio, divide data A by data B.

Let the present age of pete be P and claire be C.

According to question:

Two years ago pete was three times as old as his cousin claire.

⇒ P - 2 = 3(C - 2)

⇒ P - 2 = 3C - 6

⇒ P = 3C - 6 + 2

⇒ P = 3C - 4 ..................(1)

Also,  2 years before that, pete was four times as old as claire.

⇒ P - 4 = 4(C - 4)

⇒ P - 4 = 4C - 16

⇒ P = 4C - 16 + 4

⇒ P = 4C - 12 ..................(2)

Equating eq(1) and eq(2)

4C - 12 = 3C - 4

4C - 3C = -4 + 12

C = 8

Substitute the value of C in eq(1) we get,

P = 3(C) - 4 = 3(8) - 4 = 24 - 4 = 20

Let x be the number of years until Pete is twice as old as his cousin.

20 + x = 2(8 + x)

20 + x = 16 + 2x

20 - 16 = 2x - x

4 = x

Therefore, after 4 years ratio of their ages be 2 : 1

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Answer: The critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Step-by-step explanation:

To find the critical points of g(t), we need to find the values of t where the derivative dg(t)/dt is equal to zero or does not exist.

Using the given information, we have:

dg(t)/dt = 4ct^3 + 2dct

Setting this equal to zero, we get:

4ct^3 + 2dct = 0

Dividing both sides by 2ct, we get:

2t^2 + d = 0

Solving for t, we get:

t = ±sqrt(-d/2)

Therefore, the critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Note that we also need to assume that c is nonzero, since if c = 0, then dg(t)/dt = 0 for all values of t and g(t) is not differentiable.

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The antiderivative of 7ex is 7ex, and the antiderivative of 6 sec2(x) is 6 tan(x). Thus, the most general antiderivative is F(x) = 7ex + 6 tan(x) + C, where C represents the constant of integration.

To find the antiderivative of the given function f(x) = 7ex 6 sec2(x), we integrate each term separately. The antiderivative of 7ex is simply 7ex, as the exponential function ex is its own antiderivative.

Next, we consider the antiderivative of 6 sec2(x). The derivative of the tangent function tan(x) is sec2(x), so the antiderivative of sec2(x) is tan(x). However, there is a coefficient of 6 in front of sec2(x), so the antiderivative becomes 6 tan(x).

Combining these results, we have F(x) = 7ex + 6 tan(x) as the antiderivative of the original function f(x) = 7ex 6 sec2(x). The "+ C" at the end represents the constant of integration, as any constant added to the antiderivative remains undetermined. Therefore, the most general antiderivative of f(x) is F(x) = 7ex + 6 tan(x) + C, where C is a constant.

To verify this result, we can differentiate F(x) and confirm that it indeed yields the original function f(x). Taking the derivative of F(x) with respect to x will give us back 7ex 6 sec2(x), thus confirming the correctness of the antiderivative.

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Answer: Part A- x= 1/26 or 0.038, Part B=1/50

Step-by-step explanation:

i just divided 26 from x in and 50 from x in b

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Based on the given information, the net amount your firm will receive on the next transaction date can be calculated by subtracting the variable interest rate from the fixed interest rate.

In the swap agreement, your firm pays a fixed interest rate of 5.50 percent and receives a variable interest rate equal to LIBOR (London Interbank Offered Rate) plus 150 basis points. LIBOR is currently 3.75 percent.

To calculate the net amount your firm will receive on the next transaction date, we need to subtract the variable interest rate from the fixed interest rate.

Fixed interest rate: 5.50%

Variable interest rate: LIBOR (3.75%) + 150 basis points (1.50%) = 5.25%

Therefore, the net amount your firm will receive on the next transaction date is the difference between the fixed interest rate and the variable interest rate, which is 0.25%.

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Answer:

321

Step-by-step explanation:

#/68&$#57:'#46&"¥<>`《\_£=%~《|

The correct option regarding the transformation is given as follows:

d. Transformation preserves distance and angle measure both.​

We have,

The four most common types of transformations are given as follows:

Translation.

Rotation.

Reflection.

Dilation.

Among those, the only who does not preserve distance is the dilation, as it is obtained with the multiplication of the side lengths of the original figure.

Angle measures are preserved for all of them.

The rule in this problem is of:

(x, y) → (-y, -x).

Which is a rotation followed by a reflection, keeping both distances and angle measures, hence option d is correct.

The rules for each are:

Rotation: (x,y) -> (-y,x).

Reflection: (x,y) -> (x,-y).

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complete question:

Look at the transformation of a 2-dimensional shape on the coordinate plane. (x, y) → (-y, -x) Which statement is true?

a. Transformation preserves only distance.

b. Transformation preserves only angle measures.

c. Transformation preserves neither distance nor angle.

d. Transformation preserves distance and angle measure both.​