2. (√2-√3)
A. 5-2√6 B. 5- №6 C. 1-2√6 D. 1-√2 E. 1

Answer:

For every 1 vote cast for Candidate D, there were 4 votes for candidate C.

Step-by-step explanation:

Hope this helps! Have a good day!

Answer:

For every 1 vote cast for Candidate D, there were 4 votes cast for Candidate C.

The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

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Answer:

Step-by-step explanation:

Start like this: x^2 - 6x = -7. Now you have the x terms on one side and the constant on the other. Take half the linear term (-6x) which is 3 and then square that (9) and add it to both sides, giving you x^2 - 6x + 9 = -7+ 9, or x^2 - 6x + 9 = 2. Now make the left side into the perfect square binomial you created by completing the square: (x-3)^2 = 2, and then move the 2 over to get: (x-3)^2 - 2. That's the vertex form for a parabola with a vertex at (3, -2)

Answer:

The answer is B. 298? im not sure if it was supposed to be ≈ or not

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

Step-by-step explanation:

For a, (6 times 2)

For b, (40-15)

For c, (15 divided by 5)

For d, I am not sure

I think there might be a mistake if I am right

If I am right it is (15 divided by 5 plus 3) for d

The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10

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

The difference of -10 and the product of p and q

The numbers are given as

p and q

The product of p and q means pq

So, we have the following

The difference of -10 and pq

The difference of -10 and pq means

pq + 10

Hence, the expression is pq + 10

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Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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Answer:

Diagonals are congruent.

Step-by-step explanation:

Answer:

$6.40

^w^ -ash

The rule used to determine the term value from its position in the sequence is often referred to as the "nth term" rule.

The nth-term rule involves identifying a pattern or relationship between the position (n) of a term in the sequence and the value of that term.

By analyzing the pattern, such as the common difference or common ratio, the nth-term rule allows us to express the value of any term in the sequence based on its position.

This rule provides a formula or equation that relates the position of a term to its corresponding value in the sequence.

Mathematically, the rule is:

T(n) = a + (n - 1) * d

where:

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The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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Answer: I think it’s 68.2

Answer:

68.2 for sure

Step-by-step explanation:

Answer:

jenejebdjdndnr

r

r

r

r

r

r

Answer:

Step-by-step explanation:

Comment

Multiply through by x - 3

Then factor the result

4*(x - 3) / (x - 3) = x*(x - 3)

4 = x * (x - 3 )                          Remove the brackets

4 = x^2 - 3x                            Subtract 4 from both sides

4-4 = x^2 - 3x - 4                    Simplify

0 = x^2 - 3x- 4

This factors

0=(x - 4)(x + 1)

Answer

x - 4 = 0

x = 4

x+ 1 = 0

x = - 1

Add the colors together to get total pieces:

2 + 2 + 3 + 5 = 12 total pieces.

Blue and green = 2 + 2 = 4 pieces.

Picking blue of green would be 4/12 which reduces to 1/3

The answer is A. 1/3

The mass of one art book is 0.8 kg, and the mass of one biology book is 0.6 kg

Let's denote the mass of one art book by "a" and the mass of one biology book by "b".

From the given information, we have two equations:

6a + 4b = 7.2 (equation 1)

2a + 3b = 3.4 (equation 2)

We can solve for "a" and "b" by using any method of solving linear equations, such as substitution or elimination.

Here, we'll use elimination method. Multiplying equation 2 by 3 and subtracting it from equation 1 multiplied by 2, we get:

12a + 8b - (6a + 9b) = 14.4 - 10.2

6a - b = 4.2 (equation 3)

Multiplying equation 2 by 2, we get:

4a + 6b = 6.8 (equation 4)

Multiplying equation 3 by 6, we get:

36a - 6b = 25.2 (equation 5)

Adding equations 4 and 5, we get:

40a = 32

a = 0.8 kg

Substituting this value of "a" in equation 2, we get:

2(0.8) + 3b = 3.4

1.6 + 3b = 3.4

3b = 1.8

b = 0.6 kg

Therefore, the mass of one art book is 0.8 kg, and the mass of one biology book is 0.6 kg.

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Answer:

In order to find out the tangent value of 45 degrees, we need to divide the opposite side to the angle by the adjacent side. Since both the opposite and adjacent sides of this triangle are the same, we can see that tan(45) is equal to 1.

Step-by-step explanation:

In a special right triangle, the base and the perpendicular are the same. Then the tangent of 45° is one.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

We know that in a special right-angle triangle, both acute angles are equal to each other that is 45 degrees.

If the angles are equal then their opposites sides are also equal.

And if two sides are equal to a triangle then the right triangle is an isosceles right triangle.

In an isosceles right triangle, the perpendicular and the base are equal.

P = B

Then the tangent of 45° will be given as

\(\rm tan 45^o = 1\)

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Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

Answers:

Problem 1 is x = 20

Problem 2 is x = 20

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

Work Shown for problem 1 (on the left)

0.5*((x+50) + (6x-70)) = 3x

0.5*(7x-20) = 3x

3.5x-10 = 3x

3.5x-3x = 10

0.5x = 10

x = 10/0.5

x = 20

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

Work Shown for problem 2 (on the right)

0.5*( (2x+10)+(4x) ) = 65

0.5*(6x+10) = 65

3x+5 = 65

3x = 65-5

3x = 60

x = 60/3

x = 20

It is a coincidence that we got the same result as before.

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

Explanation:

The two chords of a circle intersect at a point that is not necessarily the center of the circle. The chords form two opposite arcs. Adding up the arc measures and dividing by 2 will give the angle between the chords.

The formula is

C = (A+B)/2

where A and B are the arc measures. C is the angle between the arcs. Dividing by 2 is the same as multiplying by 0.5

Answer:

1st : x=20°

2nd x=20°

Step-by-step explanation:

We know that:

Angles between intersecting chords theorem: States that:

The Angles between Intersecting Chords Theorem states that the measure of an angle formed by two chords that intersect inside a circle is equal to the arithmetic mean of the measures of the two intercepted arcs.

By using this

1st one

3x°=((x+50)°+(6x-70)°)/2

6x°=x+50+6x-70

6x=7x-20

20=7x-6x

x=20°

For 2nd

65°=((2x+10)°+4x°)/2

65*2=2x+10+4x

130=6x+10

130-10=6x

6x=120

x=120/6

x=20°

21% of the total recommended daily amount of sodium is in this can of soup?

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The recommended daily amount of sodium is 2550 mg. One can of wild rice soup contains 535.5 mg of sodium. Hence:

Percentage of sodium in can = (535.5/2550) * 100% = 21%

There is 21% of sodium in can

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Answer:

If you have the coordinates of two points, you can use the distance formula to find the length of the line segment between them. The distance formula is:

\(d =\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

where:

And to find a perimeter add all the sides as the perimeter is the sum of all sides of the shape or object.

Perimeter: Sum of all sides

Area : Length * breadth or base*height for rectangle

Answer: (A) choosing a grocery item based on a price-per-unit comparison

Step-by-step explanation: I did the test look at the pic for the entire test answers. It shows the points and score so you know it's correct.

The use of arithmetic in a real-world situation the one that specifically involves arithmetic as a calculation is choosing a grocery item based on a price-per-unit comparison. a.

Comparing prices of grocery items, it is often helpful to look at the price per unit (e.g. price per ounce price per pound price per liter) to determine item is the best value.

This requires calculating the cost per unit using arithmetic.

Comparing batting averages involves arithmetic as well but it is primarily a comparison of numbers rather than a calculation.

Calculating the height of a tree involves the use of trigonometry in addition to arithmetic.

Estimating travel time involves basic arithmetic but also factors such as distance traffic and route planning.

Comparing grocery store pricing it might be useful to look at the price per unit (such as the price per ounce, the price per pound or the price per litre) to determine which item is the better deal.

This involves arithmetic computation of the price per unit.

Math is used while comparing batting averages it is more of a comparison of numbers than a calculation.

In addition to arithmetic trigonometry is used to calculate a tree's height.

Basic mathematics as well as variables like route planning traffic and distance must be considered when estimating trip time.

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Answer:

f(x) = y = 70

Step-by-step explanationsince

since 100 · 0.7 = 70

      f(x) = y = 70

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

Answer:

The 99% confidence interval estimate of the proportion of people who say that they voted is (0.6623, 0.7369).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

In a survey of 1002 people, 701 said that they voted in a recent presidential election.

This means that \(n = 1002, \pi = \frac{701}{1002} = 0.6996\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a p-value of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6996 - 2.575\sqrt{\frac{0.6996*0.3004}{1002}} = 0.6623\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6996 + 2.575\sqrt{\frac{0.6996*0.3004}{1002}} = 0.7369\)

The 99% confidence interval estimate of the proportion of people who say that they voted is (0.6623, 0.7369).

Answer:

A, B, and E. Hope this helps!

Answer:

For the first city, the 95% confidence interval would be:

28,900 +/- 2300 x 3 = 28,900 +/-6900$

For the second city, the 95% confidence interval would be:

30,300 +/- 2100 x 3 = 30,300 +/- 6300$

Answer:

$24

Step-by-step explanation:

Answer:

$6

Step-by-step explanation:

80% = .80

$30 x .80=24 [This is only the discount]

$30-24=6

Hence, the sale price is $6.

The value of x from the equation 3x + 4 = 31 and x + 4 = 13 is 9.

3x + 4 = 31

x + 4 = 13

From equation (2)

x + 4 = 13

subtract 4 from both sides

x = 13 - 4

x = 9

Substitute x = 9 into (1)

3x + 4 = 31

3(9) + 4 = 31

27 + 4 = 31

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