Simplify the expression. Give your answer using only positive exponents.

Answer:

A. a one-tailed paired t-test.

Step-by-step explanation:

Answer:

2n + 9

Step-by-step explanation:

3n - n + 4 + 5 = 2n + 9

The value of \(m^{8} m^{-6}\)  after simplification is \(m^{2}\).

According to the question,

We have the following expression:

\(m^{8} m^{-6}\)

Now, please note that there are some rules for simplifying expressions with powers. For example, powers are added if the base of the terms in the multiplication are the same. And if the base of the terms are same but they are in division then the powers are subtracted.  

In this case, the base is same (m) and the terms are in multiplication.

So, we are supposed to add their powers.

Now, we have the following expression:

\(m^{(8-6)}\)

\(m^{2}\)

Hence, the value after solving the given expression is \(m^{2}\).

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You should explain what the directions are and what your trying to do.

Answer:

Country A won 79 medals, country B won 29 medals and country C won 16 medals.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Country A won x medals.

Country B won y medals.

Country C won z medals.

Total of 124 medals:

This means that \(x + y + z = 124\).

Country B won 13 more medals than Country C.

This means that \(y = z + 13\)

Country A won 34 more medals than the total amount won by the other two.

This means that:

\(x - (y + z) = 34\)

From the first equation, we have that:

\(y + z = 124 - x\)

So

\(x - (y + z) = 34\)

\(x - (124 - x) = 34\)

\(2x - 124 = 34\)

\(2x = 158\)

\(x = \frac{158}{2}\)

\(x = 79\)

Finding z:

Since \(x = 79, y = z + 13\)

\(x + y + z = 124\)

\(79 + z + 13 + z = 124\)

\(2z + 92 = 124\)

\(2z = 32\)

\(z = \frac{32}{2} = 16\)

Finding y:

\(y = z + 13 = 16 + 13 = 29\)

Country A won 79 medals, country B won 29 medals and country C won 16 medals.

The angle LKN in the rhombus is 62 degrees.

A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.

Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.

Therefore, let's find ∠LKN as follows:

m∠JMN = (-x + 69)

m∠LMJ = (-6x + 166)

Therefore,

1 / 2 (-6x + 166) = -x + 69

-3x + 83 = -x + 69

-3x + x = 69 - 83

-2x = -14

x = -14 / -2

x = 7

Therefore,

∠LKN = 1 / 2 (-6x + 166)

∠LKN = 1 / 2 (-6(7) + 166)

∠LKN = 1 / 2 (-42 + 166)

∠LKN = 62 degrees

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Therefore, integral specific function f(n) you're working with will determine which interval [a, b] you choose, and there may be several distinct methods for expressing the limit as a definite integral.

A definite integral is the area beneath a curve between two defined boundaries. An is the lower limit and b is the upper bound, and baf(x)dx represents the definite integral that is the function of two variables, defined to reference the x-axis.

Here,

lim n → ∞ f (n)

You can define this limit as a definite integral over the interval [a, b], where a and b are some constants that rely on n, where f(n) is a function of n, by saying:

For , f(x) = lim n → ∞ f(n) for a ≤ x ≤ b

The maximum can then be stated as follows:

=> lim n → ∞ f(n) = ∫a^b f(x) d

The specific function f(n) you're working with will determine which interval [a, b] you choose, and there may be several distinct methods for expressing the limit as a definite integral.

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Answer:

191 ft

Step-by-step explanation:

If it's 45.5ft x 50ft, we'll need to put fence around two 45.5ft sides and two 50ft sides.

2*45.5ft + 2*50ft = 91ft + 100ft = 191ft

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Step-by-step explanation:

To find unit rate

1 bag = 36÷ 3 = 12

So unit rate = $12

Answer:

-10

Step-by-step explanation:

\(-\dfrac{3}{5}x=6 \\\\\\x=\dfrac{6}{-\dfrac{3}{5}} \\\\\\x=6\times -\dfrac{5}{3} \\\\\\x=-10\)

Hope this helps!

Answer:

x = -10

Step-by-step explanation:

So first and easily we have to multiply to --> -3/5x = 6

After that you just do the regular formula -->

Factor divided by the x

6 / (-3/5) = -10

-10

Hope this helps

Answer: The printer costs 310 and the computer costs 930.

Step-by-step explanation:

p = printer

c = computer

p + c = 1240 <- their combined total is 1240

c = 3p <- a computer costs 3 times the amount of a printer

p + 3p = 1240 <- substitute c for 3p

4p = 1240

p = 310 <- cost of printer

c = 3*310 <- substitute into the 2nd equation

c = 930

930 + 310 = 1240 <- double check

Answer:

X = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

y=-2/3x+500

Step-by-step explanation:

Slope-intercept form: y=mx+b So, you need to get y by itself.

2x+3y=1500  Subtract 2x on both sides.

-2x      -2x

3y=-2x+1500 Divide both sides by 3.

/3   /3

y=-2/3x+500

(The slope is -2/3 and the y-intercept is 500.)

Hope this helps!! Have a wonderful day ^^

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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In hyperbolic geometry, the angle sum of a triangle is always less than 180 degrees.

A lune is a wedge of a sphere with angle θ, represented by L(θ) in the proof.

α, β, and γ are the three angles of the triangle.

4πr²+4area[αβγ]=2L(α)+2L(β)+2L(γ)

2(2πr²+2area[αβγ])=2(L(α)+L(β)+L(γ))

2πr²+2area[αβγ]=L(α)+L(β)+L(γ)

At this point, we need to use a theorem that states that a lune whose corner angle is θ radians has an area of 2θr².

2πr²+2area[αβγ]=2αr²+2βr²+2γr²

2πr²+2area[αβγ]=2r²(α+β+γ)

π+area[αβγ]r²=α+β+γ

At this point, it is clear that the sum of the angles is equal to π plus the area[αβγ]r² (which cannot be zero).

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All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1500

Step-by-step explanation:

Number of boxes = 12

Number of pencils in each box = 125

Total number of pencils

= 12 × 125

= 1500 pencils

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

If the recycling center gives Marry $0.40 per pound money she will earn for both days of recycling is $11.20

What information is given in the question?

Marry collected 16.2 pounds of cans for the recycling center on Monday.

On Tuesday, she collected 11.8 pounds.

The recycling center gives her $0.40 per pound.

According to the given question:

To find how much money she will earn for both days of recycling, calculate money earned on Monday and Tuesday. Then add the amount to get the amount earned on both days.

Money earned by Marry on Monday = 16.2 x 0.40 = $6.48

Similarly, money earned by Marry on Tuesday = 11.8 x 0.40 = $4.72

Therefore, Total money earned by Marry for both days

= 6.48 + 4.72

= $11.20

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i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

We have,

The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.

Therefore, we can say that:

f(x) < 0 for x < -3 and -1.1 < x < 0.9

And,

The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).

This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:

f(x) > 0 for x > -2.4

Now,

Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).

So,

The interval where f(x) is negative and greater than 0 is:

(-∞, -3) U (-1.1, 0)

Thus,

The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

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Answer:

Step-by-step explanation:

x - 12 ≤ 3 - 2x

3x ≤ 15

x ≤ 5

To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT

Answer:

Step-by-step explanation:

2

The constant of proportionality is 32

From the question, we have the following parameters that can be used in our computation:

H is jointly proportional to the squares of L and W

The above equation means that

H = kL^2W^2

Where

k = constant of proportionality

So, we have

k = H/(L^2W^2)

Using the given values, we have

k = 72/(3^2 * (1/2)^2)

Evaluate

k = 32

Hence, the value of k is 32

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Answer:

a. Normally distributed with a mean of $2700 and a standard deviation of $40

Step-by-step explanation:

Given that:

the mean daily revenue is $2700

the standard deviation is $400

sample size n is 100

According to the Central Limit Theorem, the sampling distribution of the sample mean can be computed as follows:

\(\mathbf{standard \ deviation =\dfrac{ \sigma}{\sqrt{n}}}\)

standard deviation = \(\dfrac{400}{\sqrt{100}}\)

standard deviation = \(\dfrac{400}{10}}\)

standard deviation = 40

This is because the sample size n is large ( i,e n > 30) as a result of that  the sampling distribution is normally distributed.

Therefore;

the statement that  describes the sampling distribution of the sample mean is : option A.

a. Normally distributed with a mean of $2700 and a standard deviation of $40

Remember to make use of the grid paper to maintain accuracy and proportionality across all four views.

Certainly! Below is a verbal description of how you can draw the four different views of the object on square grid paper:

Left View: Start by drawing the left side of the object as you would see it from a leftward perspective.

Capture its shape, height, and any visible features. Use the grid lines to maintain proportion and accuracy.

Back View: Move to the back of the object and draw what you see from that viewpoint.

Focus on its rear-facing details, contours, and any distinguishing characteristics. Utilize the grid paper to ensure proper alignment.

Front View: Now, face the object directly and draw its front view. Pay attention to its overall shape, dimensions, and any frontal features or patterns.

Utilize the grid lines to maintain symmetry and precision.

Right View: Finally, position yourself on the right side of the object and draw its appearance from that angle.

Portray the right-facing side, capturing its unique attributes and maintaining consistency with the previous views.

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Answer:

￡－7

Step-by-step explanation:

15 －8 ＝7

8－15＝￡－7

This is to show that we can use a normal equation then change the digits to get an answer.