NAFTA was important to North America countries because it ________. A. Broke down trade barriers
B. established a military alliance
C. Promoted alternative energy sources
D Provided free healthcare for all people


Please give me the right answer for 33 points.

The probability of spinning a white and an A on the first spinner is 1/4. This means that the probability of spinning a white and an A on the first spinner is 1 out of 4 or 25%.

The probability of spinning a striped and an A on the second spinner is 3/4. This means that the probability of spinning a striped and an A on the second spinner is 3 out of 4 or 75%.The probability of spinning a striped and an A on both spinners is the product of the probabilities of spinning a striped and an A on both spinners. This means the probability of spinning a striped and an A on both spinners is 3/16 or 18.75%.The probability of spinning a white and a ~A on the second spinner is 1/4. This means that the probability of spinning a white and a ~A on the second spinner is 1 out of 4 or 25%.In conclusion, the probability of spinning a white and an A on the first spinner is 25%, the probability of spinning a striped and an A on the second spinner is 75%, the probability of spinning a striped and an A on both spinners is 18.75%, and the probability of spinning a white and a ~A on the second spinner is 25%.

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Answer:

x = 10√3

y = 10

Step-by-step explanation:

Step 1:

x = r·cos(30°)

y = r·sin(30°)

Step 2:

x = 20·√3/2 = 10√3

y = 20·1/2 = 10

However, there is a shortcut. Since there is a hypotenuse, there is a 90° angle. You are given a 30° angle, so the triangle is 30°-60°-90°.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 90° angle has length 20, so the side opposite the 30° angle has length 10, and the side opposite the 60° angle has length 10√3.

Answer:

y = -x+ 2

Step-by-step explanation:

Answer:

x=-y+2

Step-by-step explanation:

Add 4 to both sides. Then divide both sides by four. You get x=-y+2.

Answer: there are 9 dims

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

it is 60

Step-by-step explanation:

The parent function that has a domain of all real values of x and a range of y ≥ 0 is :  Absolute value

What is Function ?

A function is a mathematical relationship between two sets of values, typically represented by variables, where each input (or domain value) maps to a unique output (or range value). In other words, a function assigns exactly one output value to each input value.

The absolute value function, denoted as |x|, has a domain of all real values of x, meaning it can accept any real number as input. The range of the absolute value function is y ≥ 0, which means that the output (or the absolute value of x) will always be greater than or equal to 0.

Reciprocal, cubic, and linear functions do not satisfy the criteria of having a range of y ≥ 0 for all real values of x. The reciprocal function, for example, has a domain that excludes 0, as division by zero is undefined, and its range does not include negative values. The cubic and linear functions, in general, can have a range that includes negative values depending on their coefficients and shifts.

Therefore, The parent function that has a domain of all real values of x and a range of y ≥ 0 is :  Absolute value

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After simplification we got the above expression in the form 3f + 16m -56

The word "simplify" implies to turn something in a simpler form.

In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.

3f + 8(2m-7)

we rearrange the expression by removing the parenthesis.

we remove the parenthesis by multiplying the factors.

3f + 8 × 2m - 8 × 7

3f + 16m -56

the above expression has no like terms to add or subtract so it is kept in this form.

Hence, 3f + 16m -56 is the simpler form.

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If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

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Answer:

$6.06

Step-by-step explanation:

$1.29 x 4.7 = 6.063

Round: 6.06

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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Answer:

(6, 5)

Step-by-step explanation:

midpoint ={ (8+4)/2, (7+3)/2}

(12/2, 10/2) = (6,5)

Answer:

\(3 {x}^{2} - 15x - 18 = 0\)

\( {x}^{2} - 5x - 6 = 0\)

\((x + 1)(x - 6) = 0\)

x = -1 or x = 6

The coordinates of the zeroes are (-1, 0) and (6, 0).

Answer:

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

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

\(\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}\)

Option B is the answer.

Answer: C

i hope you can see my handwriting

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)

Answer:

1+tan2x=sec2x.

Explanation: Change to sines and cosines then simplify.

Answer:

$13,125

Step-by-step explanation:

The value of the interest that will accrue on this loan will be;

⇒ $13,125

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

You and your family are planning a vacation of a lifetime around the world that will cost $25,000.

And, You borrowed this amount from your bank with an annual interest rate of 10.5%.

Now,

Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.

Hence, The total interest amount after five years is,

⇒ 5 × (10.5% of $25,000)

⇒ 5 × (10.5/100 × 25,000)

⇒ 5 × 2,625

⇒ $13,125

Thus, The total interest amount after five years = $13,125

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Step-by-step explanation:

50/50 it's random I think but I learned that in science

Hi how u doin ?

\(4 \times ( { \frac{1}{2} })^{4} = \\ \)

\(4 \times \frac{1}{16} = \\ \)

\( \frac{4}{4 \times 4} = \\ \)

\( \frac{1}{4} = \\ \)

\(0.25\)

Have a great day ❤

Using technology,  the difference between the arithmetic average ROR and the weighted average ROR is 0.52%

The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values ​​and the number of observations involved in this sum.

Given An investment portfolio

Since arithmetic average ROR:

The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:

ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4

arithmetic average ROR=6.20%

total amount invested=$3200+$1750+$1235+$2,300

total amount invested=$8,485

weighted average:

ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)

weighted average:

ROR=5.68%

difference=6.20%-5.68%

difference=0.52%

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Answer: it’s 1.1%

Step-by-step explanation: just got it right on the test

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

If the value of A is 24 units, B is 10 units in the right angled triangle then the value of C is 26 units.

Given that in a right angled triangle the value of A is 24 units and the value of B is 10 units.

We are required to find the value of C in that right angled triangle.

The triangle which is given is a right angled triangle and in this triangle we have to use pythagoras theorem.

Pythagoras theorem says that the square of hypothesis is equal to the sum of squares of perpendicular and base of that right angled triangle.

\(H^{2} =P^{2} +B^{2}\)--------------1

In this triangle A is perpendicular, B is base and C is hypotenuse.

Using the values in 1.

\(C^{2} =A^{2} +B^{2}\)

C=\(\sqrt{(24)^{2} +(100)^{2} }\)

C=\(\sqrt{576+100}\)

C=\(\sqrt{676}\)

C=26 units

Hence if the value of A is 24 units, B is 10 units in the right angled triangle then the value of C is 26 units.

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Answer:

All the 3 expressions are equivalent.

Step-by-step explanation:

1/2 ( x + 4 )

= x/2 + 4/2

= x/2 + 2

x/2 + 2 is same as 2 + x/2

To determine if a linear transformation is onto, we need to check if every vector in the range has at least one pre-image in the domain.

Let T be a linear transformation from R^3 to R^2 given by:

T (x, y, z) = (2x - y, x + 3y - 4z)

(a) To check if T is one-to-one, we need to check if for any two distinct vectors (x1, y1, z1) and (x2, y2, z2) in R^3, we have T (x1, y1, z1) ≠ T (x2, y2, z2). Equivalently, we can check if T (x1, y1, z1) - T (x2, y2, z2) ≠ 0 for any two distinct vectors (x1, y1, z1) and (x2, y2, z2) in R^3.

So, let (x1, y1, z1) and (x2, y2, z2) be two distinct vectors in R^3. Then:

T (x1, y1, z1) - T (x2, y2, z2) = (2x1 - y1, x1 + 3y1 - 4z1) - (2x2 - y2, x2 + 3y2 - 4z2)

= (2x1 - y1 - 2x2 + y2, x1 + 3y1 - 4z1 - x2 - 3y2 + 4z2)

= (2(x1 - x2) - (y1 - y2), x1 - x2 + 3(y1 - y2) - 4(z1 - z2))

For T to be one-to-one, the only solution to T (x1, y1, z1) - T (x2, y2, z2) = 0 must be (x1, y1, z1) = (x2, y2, z2). So, we need to solve the equation above and check if the only solution is (x1, y1, z1) = (x2, y2, z2).

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