Please help me with number 6 :((

The problem involves a line segment divided into two parts in a specific ratio. The ratio of the length of the lesser part to the length of the greater part is found to be (√2 - 1).

Let the length of the whole line segment be x, and let y be the length of the greater part. Then the length of the lesser part is (x - y).

According to the problem statement, the ratio of the lesser part to the greater part is the same as the ratio of the greater part to the whole. Mathematically, we can write this as:

(x - y)/y = y/x

Simplifying this equation, we get:

x^2 - y^2 = y^2

x^2 = 2y^2

Taking the square root of both sides, we get:

x = y√2

Therefore, the value of the ratio of the lesser part to the greater part is:

(x - y)/y = (√2 - 1)

So, the answer will be (√2 - 1).

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Answer:

60 degrees

Step-by-step explanation:

because it is an equilateral triangle

Answer:its 5

Step-by-step explanation: cuz

Answer:

1

Step-by-step explanation:

You can find slope by the formula

y2-y1 over x2-x1

In this case, 6-5 over -3-(-3) or -3=3

This is equal to 1 over 0 which is 1

Answer:

b = $2.40

d = $5.70

Step-by-step explanation:

d = hot dog and b = hot dog buns

Equations:

2d + 5b = $23.40

3d + 2b = $21.90

-------------------------------subtract these two equations

-d + 3b = $1.50

3b - $1.50 = d

Substitute:

3d + 2b = $21.90

3(3b - $1.50) + 2b = $21.90

9b - $4.50 + 2= $21.90

11b = 26.40

b =  $2.40

Substitute again but this time with b:

3d + 2b = $21.90

3d + 2($2.40) = $21.90

3d + $4.80 = $21.90

3d = $21.90

d = $5.70

The factored expression of 1/5c + 4/5 is 1/5(c + 4)

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

1/5c + 4/5

From the above expression, we have the following highlights

In the above terms, we can see that the denominator of the terms is 5

When this denominator is removed, we have

Expression = c + 4

This means that

GCF =1/5

So, the factored expression is 1/5(c + 4)

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Answer: y = -0.75x + 98.75

The airplane is flying 94.8 feet above the farmhouse.

The formula for finding the height of an object from a given angle of elevation is:

Height = tan(angle of elevation) * Distance

In this case, we have two angles of elevation and two distances. We can solve for the height of the airplane by first calculating the distance from the observer to the top of the farmhouse. We can do this by using the same formula, but substituting in the angle of elevation of the farmhouse and the known distance between the observer and the farmhouse:

Distance to farmhouse = tan(24°) * 50 feet

Distance to farmhouse = 43.6 feet

Once we have the distance to the farmhouse, we can use the same formula to calculate the height of the airplane above the farmhouse. This time, we substitute in the angle of elevation of the airplane and the distance to the farmhouse:

Height of airplane = tan(70°) * 43.6 feet

Height of airplane = 94.8 feet

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Answer:

Line segment because it is part of a line that has two endpoints which are the 0 inch mark and the 12 inches mark.

Answer:

-7

Step-by-step explanation:

use X to represent the unknown number

(x-16) -6=-138

-138/6= -23

(x-16)=-23

add 16 to both sides

x= -7

Julio's number is -7

you can also plug it back into the formula to prove it is right

The probability that between 8 and 12 out of 50 customer orders from Soffritto Italian Grill's Saturday night service were the Chef's Special can be calculated using the binomial distribution.

To find the probability, we need to calculate the probability of getting exactly 8, 9, 10, 11, or 12 orders out of 50 to be the Chef's Special. The binomial distribution formula is used for this calculation, given by P(x) = C(n, x) *\(p^x\)* \(q^{n-x}\), where P(x) is the probability of x successes, n is the total number of trials, p is the probability of success, q is the probability of failure (1 - p), and C(n, x) is the combination formula.

First, we need to determine the probability of ordering the Chef's Special, which is given as 15% or 0.15. The probability of not ordering the Chef's Special is 1 - 0.15 = 0.85.

Next, we calculate the probability for each value from 8 to 12 using the binomial distribution formula. Finally, we sum up these probabilities to get the total probability between 8 and 12 orders being the Chef's Special.

Using this approach, we find the probability that between 8 and 12 orders out of 50 were the Chef's Special at Soffritto Italian Grill last Saturday night.

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Answer:

5 ft x 7 ft

Step-by-step explanation:

60/5 = 84/x

cross multiply to solve for x

60x = (84)(5)

60x = 420

x = 420/60 = 7

Answer:

you have the correct answers

Step-by-step explanation:

you already have the right answers

In an F-test, the null hypothesis typically states that all specified coefficients are equal to zero. In this case, the null hypothesis is:

H0: β1 = 0, β2 = 0, βs = 0, and β4 = 0

To reject the null hypothesis, we need to find evidence that at least one of these restrictions is violated. This means that if we can show that any one of the coefficients (β1, β2, βs, or β4) is significantly different from zero, it would provide sufficient evidence to reject the null hypothesis.

Therefore, if any one of these restrictions is violated, meaning that its corresponding coefficient is not equal to zero, it would lead to rejecting the null hypothesis. In this case, only one violation among β1, β2, βs, or β4 is needed to reject the null hypothesis. Hence, the correct answer is:

(b) 1

It's important to note that the specific restriction that is violated can be different for each case, but as long as one restriction is violated, we have enough evidence to reject the null hypothesis in an F-test.

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Answer:

\(Y = -X+5\)

Step-by-step explanation:

To find the slope you need to do \(m = \frac{y2-y1}{x2-x1}\)

Using that formula you will get \(m = -1\)

Now you need to use the slope -1 and a given point (1,4) to substitute for x1 and y1 in point slope form

\(y-4 = -1*(x-1)\)

now you need to solve for y

and you get....

\(y= -x + 5\)

Answer:

el un angulo recto,   la concha de tu hermana

Step-by-step explanation:

no seas boludooo

Louis total distance of 8/5 km. Louis rose his bicycle a total distance of 8/5 km.

Louis rose his bicycle a total distance of 1/2 km + 3/4 km + 7/10 km.

To find the total distance, we need to find a common denominator for the fractions: 2, 4, and 10.

The least common denominator is 20.

So, 1/2 km can be written as 10/20 km, 3/4 km can be written as 15/20 km, and 7/10 km remains the same.

Adding these fractions together, we have:

10/20 km + 15/20 km + 7/10 km = 32/20 km

Simplifying this fraction, we get:

32/20 km = 8/5 km

Therefore, Louis rose a total distance of 8/5 km.

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Louis rode a total distance of 8/5 km or 1 and 3/5 km

Louis rode his bicycle a total of 1/2 km to school, 3/4 km to a ball field, and 7/10 km back home. To find the total distance Louis traveled, we need to add up these three distances.

First, let's add 1/2 km and 3/4 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.

Converting 1/2 to have a denominator of 4, we get 2/4. Now we can add 2/4 + 3/4, which equals 5/4.

Next, we need to add 5/4 km and 7/10 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 10 is 20.

Converting 5/4 to have a denominator of 20, we get 25/20. Now we can add 25/20 + 7/10, which equals 32/20.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 32/4 and 20/4, we get 8/5.

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Hyponatremia is associated with overhydration and dehydration. Hyponatremia is a condition characterized by low levels of sodium in the blood.

While options a and c (insufficient intake of dietary calcium and excessive intake of dietary sodium) may have an impact on overall health, they are not directly linked to hyponatremia. The correct associations for hyponatremia are overhydration (b) and dehydration (d).

Overhydration, or water intoxication, occurs when the body takes in more water than it can excrete. This dilutes the concentration of sodium in the blood, leading to hyponatremia. Overhydration can be caused by excessive fluid intake, particularly in cases of endurance sports or drinking large amounts of water without proper electrolyte balance.

On the other hand, dehydration can also contribute to hyponatremia. When the body loses more water than it takes in, the sodium levels in the blood become relatively higher, resulting in diluted sodium concentration. This can occur due to excessive sweating, vomiting, diarrhea, or certain medical conditions.

In both cases, the balance of fluids and electrolytes in the body is disrupted, leading to low sodium levels and the development of hyponatremia. It is important to maintain a healthy fluid intake, ensuring a proper balance of water and electrolytes, to prevent these conditions and maintain overall well-being.

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Answer:

The slope is 3 and the y-intercept is 8

Step-by-step explanation:

The formula y=mx+b with m being the slope and b being the y-intercept,

The numbers in those places show us that 3 is in the slope spot and 8 is in the y-intercept spot.

Answer:

The solution is x=2, y=4

Step-by-step explanation:

y = 2x

x+y = 6

Using substitution, we can substitute the first equation into the second equation

x + (2x) = 6

3x = 6

Divide by 3

3x/3 = 6/3

x = 2

Now we can find y

y = 2(2)

y = 4

The solution is x=2, y=4

Answer: b

Step-by-step explanation:

Answer:

p(x+y)

Step-by-step explanation:

p(x+y)

hope that helps^^

Answer:

It is 2 1/2

Step-by-step explanation:

Hope this helps :)

Answer:

She will need 9 baskets.

(The exact answer is 8.84 but you can't have an eighth of a basket)

The area of the replaceable is \(15\) square inches.

The area of a regular hexagon, we can use the formula:

\(A = (3\sqrt3 / 2) \times s^2\)

Where A is the area of the hexagon and s is the length of one of its sides.

To find the area of the replaceable head, we can split it into two shapes: a rectangle and a triangle.

The rectangle has a length of 10 mm and a width of 12 mm, so its area is:

Area of Rectangle \(= length \times width = 10 mm \times 12 mm = 120 mm^2\)

The triangle has a base of  \(12 mm\) and a height of \(6 mm\), so its area is:

Area of Triangle \(= 1/2 \times base \times height = 1/2 \times 12 mm \times 6 mm = 36 mm^2\)

To find the total area of the replaceable head, we add the area of the rectangle and the area of the triangle:

Total Area =Area of Rectangle  +  Area of Triangle \(= 120 mm^2 + 36 mm^2 = 156 mm^2\)

Therefore, the area of the replaceable head is   \(156\)mm².

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For a = 12, x - 5 would be a factor of x³ - 3x² + ax - 10

Let us assume that a polynomial p(x) = x³ - 3x² + ax - 10

We need to find the value of 'a' so that (x - 5) would be factor of p(x)

We know that the Factors theorem states that if a polynomial p(x) have a factor x-a, then p(a)=0.

Consider (x - 5) is a factor of x³ - 3x² + ax - 10

Since x - 5 is a fctaor of p(x), by factor theorem, p(5) must be equal to zero.

Consider,

p(x) =  x³ - 3x² + ax - 10

For x = 5,

p(1) =  1³ - 3(1)² + a(1) - 10

0 = 1 - 3 + a - 10               .........(by Factor Theorem, p(5) = 0)

-12 + a = 0

-12 + a + 12 = 0 + 12

a = 12

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The graphs that can be used here are Box plot, Histogram, Scatter plot and Bar chart.

What exactly is a box plot?

A box plot, also known as a box and whisker plot, is a graphical summary of a set of data through five statistics: the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.

The box in the plot represents the interquartile range (IQR), which is the range between the first and third quartiles (Q1 and Q3). The median is shown by a line inside the box. The whiskers extend from the box to the smallest and largest data points that are within 1.5 times the IQR from the nearest quartile. Any data points that fall outside of the whiskers are shown as individual points or outliers.

Now,

To compare the range and shape of Jace's electric-vehicle data to gas-powered vehicle data, we can use the following data displays:

Box plots: We can create box plots for both sets of data to compare their ranges and shapes. The box plots can be arranged side-by-side for easy comparison.

Histograms: We can create histograms for both sets of data to compare their shapes. The histograms can be overlaid on top of each other for easy comparison.

Scatter plots: We can create a scatter plot with range on the x-axis and fuel efficiency on the y-axis for both sets of data. This will allow us to compare the ranges and shapes of both sets of data on a single graph.

Bar charts: We can create bar charts to compare the average range and fuel efficiency for both sets of data. The bar charts can be arranged side-by-side for easy comparison.

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