i need help with number 15

The time taken by both to mow the lawn is 36 minutes.

This is a question of time and work.

It is given that:-

Time taken by boy to mow the loan = 90 minutes.

Time taken by girl to mow the loan = 60 minutes.

We have to find the time taken by both of them together to mow the lawn.

LCM(60,90) = 180

Let the total work to be done to mow the lawn be 180 units.

Hence,

Efficiency of boy = 180/90 = 2 units

Efficiency of girl = 180/60 = 3 units

Total efficiency = 2 + 3 = 5 units.

Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.

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Answer:

three billion eight hundred million

Step-by-step explanation:

Answer:

right D

Step-by-step explanation:

I have made a visual on the quadrilateral! Hope this helps!:)

(sorry if its messy! I was rushing)

Answer:

Step-by-step explanation:

Let equal sides of an isosceles triangle = a inches

Base = \(\frac{1}{2}a+2\) inches

Perimeter  = 32 inches

a + a + \(\frac{1}{2}a+2\) = 32

\(2a + \frac{1}{2}a+2 = 32\\\\\frac{2a*2}{1*2}+\frac{1}{2}a+2=32\\\\\frac{4a}{2}+\frac{1}{2}a+2=32\\\\\frac{5}{2}a+2 = 32\\\\\)

Subtract 2 from both sides

\(\frac{5}{2}a=32-2\\\\\frac{5}{2}a=30\\\\a=30*\frac{2}{5}\\\\a=6*2\)

a = 12 inches

base = \(\frac{1}{2}*12+2\)

        = 6 + 2

Base = 8 inches

The given company has two major departments: Development and Marketing. A total of twelve employees are selected randomly from each of the department and their ages are recorded. It is also mentioned that both of the departments have an employee who is of age 56 years. It is equally unusual to have a 56-year-old employee in both the departments.

To solve this problem, we need to determine the spread of the ages in each department. The spread of the ages in each department can be determined by calculating the range. The range is the difference between the maximum age and the minimum age in each department. We will then compare the range in both departments. The department with the greater range will be considered to be more unusual to have a 56-year-old employee.

The following are the ages of the employees in the Development and Marketing departments respectively: Development Department: 43, 24, 38, 56, 29, 22, 45, 47, 40, 33, 28, 30Marketing Department: 41, 56, 35, 23, 26, 49, 42, 50, 38, 29, 55, 46The range of the Development department can be calculated as: Range = Maximum Age - Minimum Age= 56 - 22= 34The range of the Marketing department can be calculated as: Range = Maximum Age - Minimum Age= 56 - 23= 33As we can see, the range in both departments is close. The range of the Development department is 34 and the range of the Marketing department is 33.

Therefore, it is difficult to determine which department is more unusual to have a 56-year-old employee. Hence, the answer is that it is equally unusual to have a 56-year-old employee in both the departments.

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The number of knots in each row of a friendship bracelet is not necessarily proportional to the number of rows. It depends on the pattern that you are using to create the bracelet.

For example, if you are using a simple pattern where each knot is made with two strings, the number of knots in each row will be equal to the number of rows. This is because each row will have one knot for each string in the bracelet.

However, if you are using a more complex pattern where each knot is made with more than two strings, the number of knots in each row may not be proportional to the number of rows. For example, if you are using a pattern where each knot is made with three strings, the number of knots in each row will be greater than the number of rows. This is because each knot involves three strings, so each row will have more knots than the number of rows.

Overall, the number of knots in each row of a friendship bracelet depends on the pattern that you are using to create the bracelet. It is not necessarily proportional to the number of rows.

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Answer:

should be 8

Step-by-step explanation:

Answer:

y = 1/10 x + 18/5

Step-by-step explanation:

The general form of the equation of a line is given as

y = mx + c where m is the slope and c is the intercept

For a line with given points (x1, y1), the equation is given as

y-y1 = m(x-x1)

Hence if there is a line that includes that point (-6,3) and has a slope of 1/10 then the line

y - 3 = 1/10(x --6)

multiply both sides by 10

10y - 30 = x + 6

Rearrange

10y = x + 6 + 30

10y = x + 36

y = 1/10 x + 36/10

y = 1/10 x + 18/5

The required answer is the proportion of scores that are less than 600 is 0.8508. in other words, the proportion of scores that are less than 600 is 0.8508.

The proportion of SAT scores that are less than 600 can be found by calculating the standard normal cumulative distribution function (CDF) for a z-score of (600 - mean) / standard deviation.

Given that the mean is 496, the standard deviation is 100, and the score of interest is 600, we can calculate the z-score as follows:

z = (600 - 496) / 100 = 1.04

Using a standard normal distribution table , we can find the corresponding cumulative probability for a z-score of 1.04. The table will give us the proportion of scores that are less than 600.

Looking up the value in a standard normal distribution table, we find that the proportion of scores less than 600 is approximately 0.8508.

Therefore, the proportion of scores that are less than 600 is 0.8508.

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The coordinates of the middle point M is found as  (-7,0) of the line segment AB.

For the given question;

The two coordinates of the points are given ;

A( -4,4) = (x₁, y₁)

B (-10,-4) = (x₂, y₂)

The middle point M of this line segment is found as;

M(x, y) = (x₁ + x₂)/2 , (y₁ + y₂)/2

Put the values in the formula;

M(x, y) = (-4 - 10)/2 , (4 - 4)/2

M(x, y) = (-14)/2 , 0

M(x, y) = (-7,0)

Thus, the coordinates of the middle point M is found as  (-7,0).

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The absolute value of the Pearson correlation coefficient indicates the strength or consistency of the relationship between two variables.

Therefore, the Pearson correlation coefficient with the greatest strength or consistency of relationship is the one with the highest absolute value.

In this case, the answer is:

a. â€"0.90

because it has the highest absolute value (|â€"0.90| = 0.90) among the options given. This indicates a very strong negative relationship between the two variables being compared.

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Answer:

The place of 9 = 10,000 (ten thousand)

The place value of 9 = 9 x 10,000 =  90,000

I hope its right  ;)

Answer:

Step-by-step explanation:

1 treat bag \(=\frac{\$5.20}{2} =\$2.60\)

So 5 treat bags \(=5\times \$2.60=\$13.00\)

Dani would have to spend an extra $13 to make 5 more bags.

Answer:

5

Step-by-step explanation:

A(circle) = πr²
In this case, it's 78.5

r² = 78.5 : π = 24.9873260654 (round to 25.)
r = approx. sqrt(25) = 5

Therefore, the approximate difference in the mean circumferences of Earth and the Moon is approximately 29,112.9 kilometers.

To find the approximate difference in the mean circumferences of the Earth and the Moon, we need to calculate the circumferences of both celestial bodies and then find the difference.

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius.

For Earth:

Circumference of Earth = 2π × 6,371.0 km ≈ 40,030.2 km

For the Moon:

Circumference of Moon = 2π × 1,737.5 km ≈ 10,917.3 km

To find the approximate difference in the mean circumferences, we subtract the circumference of the Moon from the circumference of Earth:

Difference in circumferences = Circumference of Earth - Circumference of Moon

Approximately: 40,030.2 km - 10,917.3 km ≈ 29,112.9 km

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Answer:

58

Step-by-step explanation:

Let's draw this out (see attachment).

We know that since B lies on AC, we have the points in order from left to right: A, B, C.

AB = 9, which is the left portion. BC = 49, which is the right portion. Then AC is simply the sum:

AC = AB + BC = 9 + 49 = 58

The answer is thus 58.

~ an aesthetics lover

The truth value of the compound statement (C ∨ B) → (~A • D) is false.

To determine the truth value of the compound statement (C ∨ B) → (~A • D), we can evaluate each component and apply the logical operators.

A is true,

B is true,

C is false,

D is false.

C ∨ B:

Since C is false and B is true, the disjunction (C ∨ B) is true because it only requires one of the operands to be true.

~A:

Since A is true, the negation ~A is false.

~A • D:

Since ~A is false and D is false, the conjunction ~A • D is false because both operands must be true for the conjunction to be true.

(C ∨ B) → (~A • D):

Now we can evaluate the implication (C ∨ B) → (~A • D) by checking if the antecedent (C ∨ B) is true and the consequent (~A • D) is false. If this condition holds, the implication is false; otherwise, it is true.

In this case, the antecedent (C ∨ B) is true, and the consequent (~A • D) is false, so the truth value of the compound statement (C ∨ B) → (~A • D) is false.

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The point (2, 3) lies in the first quadrant.

Quadrant

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.

These are often numbered from 1st to 4th and denoted by Roman numerals: I (where the signs of the (x; y) coordinates are I (+; +), II (−; +), III (−; −), and IV (+; −).

Cartesian system

The Cartesian coordinate system uses a horizontal axis that is called the x-axis and a vertical axis called the y-axis. Equations for lines in this system will have both the x and y variable.

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Answer:

c

Step-by-step explanation:

Answer:

2 Nd is in order from least to grater

let's firstly make the recurring part a variable, and then let's move it to the left-side by multiplying it by a power of 10 hmmmm so

\(8.\overline{3333}\implies 8+0.\overline{3333}\hspace{5em}\stackrel{\textit{let's make}}{x=0.\overline{3333}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lll|l} 10x&=&3.\overline{3333}\\&&\\ &=&3+0.\overline{3333}\\&&\\ &=&3+x \end{array} ~~ \begin{array}{llll} 10x=3+x\implies 9x=3\implies x=\cfrac{3}{9}\implies x=\cfrac{1}{3} \end{array} \\\\\\ 8+0.\overline{3333}\implies 8+x \implies 8+\cfrac{1}{3}\implies \stackrel{improper}{\cfrac{25}{3}}\implies \stackrel{mixed}{8\frac{1}{3}}\)

Answer:

17 160 inches

Step-by-step explanation:

Area = width x length

so 165 x 104 which is 17 160

Therefore, the area of the rectangle is 17 160 inches

hope this helps, give brainliest?

Answer:

Step-by-step explanation:

y = 2/3x+4

2/3 is your slope, if you do y2-y1/x2-x1. 6-4/3-0. 2/3

your y intercept is what y is when x is 0. so 4

Answer:

May be minus

Step-by-step explanation:

minus 2 and minus 6 means minus 8b than we have to find out the value of b so 8into 4 is equal to 32

The derivative of y with respect to x is 2x - 3.

(a)

(i) To find dy/dx, we need to differentiate the given equation with respect to x. Using the power rule and the quotient rule, we get dy/dx = (2x - 3 - (x^2 - 3)ln(x))/(x^2).

(ii) To find d^2y/dx^2, we differentiate dy/dx with respect to x. Again using the quotient rule and simplifying, we get d^2y/dx^2 = (2 - 2ln(x) - (2x - 3)ln(x) - (x^2 - 3)(1/x))/(x^2).

(b)

(i) To find the x-coordinate of the stationary points, we set dy/dx = 0 and solve for x. This gives us x = 1 or x = e^((2x - 3)/x).

(ii) To determine the nature of each stationary point, we substitute the x-coordinate into d^2y/dx^2. If d^2y/dx^2 > 0, the point is a local minimum. If d^2y/dx^2 < 0, the point is a local maximum. If d^2y/dx^2 = 0, the test is inconclusive and further analysis is needed.

Note: Detailed calculations and further analysis can be done using the given equations and the provided steps to obtain the specific solutions and nature of the stationary points.

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The bank routing number on a check is a 9-digit code used to identify a financial institution in a transaction. It is also known as an ABA routing number, an RTN, and a routing transit number.

In order to determine the routing number on a check:

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