Helppppppppppp please!!!

The geometric mean between 28 and 32 is equal to 29.9 to the nearest tenth, which makes option A correct.

If x, y, z are consecutive terms of a geometric progression, then the expression for the geometric mean is given as: y = √xz

Thus; for the geometric mean between 28 and 32, we evaluate as follows:

geometric mean between 28 and 32 = √(28 × 32)

geometric mean between 28 and 32 = √896

geometric mean between 28 and 32 = 29.9333.

Therefore, the geometric mean between 28 and 32 is equal to 29.9 to the nearest tenth.

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soln

=5×17

=85 is answer

For a normal distribution with mean 54 and standard deviation 5 95.4% of them fall between 44 and 64

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score\\\\Given\ that\ mean(\mu)=54,standard \ deviation (\sigma)=5\\\\For\ x=44:\\\\z=\frac{44-54}{5}=-2\\\\For\ x=64:\\\\z=\frac{64-54}{5}=2\)

Therefore., from the normal distribution table:

P(44<x<64) = P(-2< z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Hence, About 95.4% of them fall between 44 and 64.

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Answer:

31.2 ft

Step-by-step explanation:

sin = opp/hyp

sin64 = 28/hyp

hyp = 28/sin64

use calculator

hyp = 31.15285433330529

Rounded

31.2 ft

The length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

The ladder, the distance from the wall to the base of the ladder and the distance from the ground to the electric box forms a right angled triangle.

Trigonometric ratios shows the relationship between the sides and angles of a right angled triangle.

Let x represent the length of the ladder, hence:

sin(64) = 28 feet/x

x = 28 feet / sin(64)

x = 31.2 feet

Hence the length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

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The radius of the circle is s√3π, which is equal to 3√π. Hence, the answer is option (B).

To calculate the radius of the circle, we need to first calculate the perimeter of the equilateral triangle. The perimeter of an equilateral triangle is equal to 3 times the side length of the triangle. Thus, we can say that the perimeter of the equilateral triangle is 3s.

Now, we need to calculate the area of the circumscribed circle. The area of a circle is equal to π times the square of the radius. Thus, the area of the circumscribed circle is equal to πr2.

Therefore, we can say that 3s = πr2. Solving this equation for r, we get r = s√3π. Thus, the radius of the circle is s√3π, which is equal to 3√π. Hence, the answer is option (B).

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Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as

Line slope is a measure of the steepness or direction of a line in the coordinate plane.  

m = Δy/Δx

where,m is the slope

Given,

equations of the line

3x - 5y = 2

Moving 3x to RHS
-5y = -3x + 2

y = (3/5)x - 2/5

comparing with slope intercept equation of the line y = mx + c

slope m₁ = 3/5

Now, equation

3x + 5y = -2

moving 3x to RHS

5y = -3x - 2

y = (-3/5)x - 2

comparing with slope intercept equation of the line y = mx + c

slope m₂ = -3/5

Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.

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The number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.

To calculate the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, we need to determine the length of the circle's circumference at the given latitude.

Given:

Length of the Earth's equator = 25,100 miles

Latitude of Lena, Wisconsin = 45 degrees north

The circumference of a circle at a given latitude on a perfect sphere can be calculated using the formula:

Circumference = (Cos(latitude) * Earth's equator circumference)

First, we need to convert the latitude from degrees to radians:

Latitude in radians = 45 degrees * (π / 180)

Latitude in radians = π/4

Next, we can substitute the latitude in radians into the formula to calculate the circumference:

Circumference = (Cos(π/4) * 25,100 miles)

Using the value of the cosine of π/4 (which is √2 / 2), we have:

Circumference = (√2 / 2) * 25,100 miles

Simplifying:

Circumference ≈ 0.707 * 25,100 miles

Circumference ≈ 17,747.07 miles

Therefore, the number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.

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A graph of the solution of the inequality is: graph F.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given inequality by making x the subject of formula as follows;

x - 5 < 14

By adding 5 to both sides of the inequality, we have the following:

x - 5 + 5 < 14 + 5

x < 19

Note: The line on a number line should be open when the inequality symbol is greater than (>) or less than (<).

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Using a linear equation to solve this problem, the charge for a 3.5 hour job is 85.45 dollar.

To find how much was the bill, we need to write an equation or linear equation for this.

For every linear equation, it takes the form of y = mx + c.

Where m and c are the slope and intercepts of the straight line.

In this case, our linear equation can be written as

y = 18.70x + 20

where x = number of hours worked.

If the job took three and a half hour which is 3.5 hours, we can substitute this into the equation and solve.

y = 18.70(3.5) + 20

y = 85.45

The charge is 85.45 dollar.

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Answer:

The rational equation is;

(8 + n)/(15 + n) = 3/4

Step-by-step explanation:

Here, we want to write a rational equation.

Before the addition we have a total of 8 strawberries out of a total 15 candies

So to make the ratio 3:4, we are going to add n strawberries and this also will increase the total to (15 + n)

So the rational equation will be;

(8 + n)/(15 + n) = 3/4

Answer:

see the attachment.

the answer is $ 32. 40/ Year

Answer:

if we’re finding area then it’s 33! Hope this helped!

Even though there are more people visiting the lodge now than there were five years ago, the lodge is making less money than it did five years ago due to inflation.

Thus, the fact that the Lodge has not increased its prices implies, in principle, a maintenance of the profit. Now, given that the costs necessary for the normal operation of the Lodge increase, on average, by 3% per year, the Lodge's profit margins will have been reduced by 15% in 5 years (5 x 3 = 15).

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Answer:

Organize into a table for good gatherings.

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

The answer would be

22 Rs

44 Rs

110 Rs

Step-by-step explanation:

5 litres : 55 Rs

2 litres : y1

y1=2*55/5=22 Rs

4liters : y2

y2=4*55/5=44 Rs

10 litres : y3

y3=10*55/5 =110Rs

Answer:

40

Step-by-step explanation:

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Therefore , the factor of the 7th grade math equation  3x + 6 are

3 and (x + 2)

The equal sign is used between numerical or changeable expressions to create an equation, such as 3x+5=11.

A number that can be entered as the variable's replacement in an equation serves as the solution.

Here,

The seventh grade can be viewed as the following:

to produce 3x + 6

Put each term in writing as the outcome of irreducible factors:

3x = 3 × x

6 = 2 × 3

(3 × x) + (2 × 3) = 3x + 6

Three is a common element in the previous two words.

According to the distributive property, 3 x (plus 2) equals 3 x + 2 x 3.

Therefore, 3x + 6 equals 3(x + 2), where 3 and (x + 2) are the variables that make up 3x + 6, and these factors cannot be further divided.

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The given equation is

When the equation is in slope-intercept form, the coefficient of x is the slope. So, the slope of the given equation is 6.

It is important to know that parallel lines have equal slopes.

The functions that have complex roots are b and d.

Complex roots are the imaginary root of polynomial functions. The complex roots are represented as α = a + ib, and β = c + id.

When the quadratic equation has a discriminant value less than zero will have imaginary roots.

Out of the given functions, a ,b, c, and d, the function with complex roots are b and d.

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Answer:

b &d is correct. i just took the test. :)

Step-by-step explanation:

The expression that represents total cost is $10 + $2r

The total cost is the total amount expended at the carnival.

The total cost for one admission is the sum of the cost for an admission and total rides.

Total cost = admission cost + total rides

Admission cost = $10

Total rides = $2 x total number of rides

=$2r

Total cost = $10 + $2r

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Answer:

The rate charged by first mechanic per hour= x =$85

The rat charged by second mechanic per hour =y = $70

Step-by-step explanation:

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1900. What was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

Solution

Let

x= hourly rate of the first mechanic

y= hourly rate of the second mechanic

Derive two equations to solve for the two unknowns

10x + 15y = 1900 (1)

x + y = 155 (2)

From (2)

x + y = 155

x=155-y

Substitute x=155-y into (1)

10x + 15y = 1900

10(155-y) + 15y =1900

1550 -10y + 15y =1900

5y =1900-1550

5y=350

Divide both sides by 5

y= 70

Substitute y=70 into (2)

x + y = 155

x + (70) =155

x=155 - 70

= 85

x= 85

The rate charged by first mechanic per hour= x =$85

The rat charged by second mechanic per hour =y = $70

The cat ate 3/7 of a bag per week when the food lasted for 7/4 week.

According to the question,

We have the following information:

Amira had 3/4 of a bag of cat food. The food lasted 7/4 weeks.

Now, we can easily find how much food Amira's cat ate in one week by dividing the total number of bags of food by the number of weeks the food lasted.

So, we have the following expression:

3/4 of a bag = 7/4 weeks

1 week = 3/4 ÷ 7/4

1 week = 3/4 * 4/7 of a bag

1 week = 3/7 of a bag

Hence, the cat ate 3/7 of a bag per week when the food lasted for 7/4 week.

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C. rely too much on expectations of a respondent's memory precision

Open-ended questions that ask respondents to recall specific data rely too much on expectations of a respondent's memory precision.What are open-ended questions?Open-ended questions are questions in which respondents are free to answer with any appropriate or related details. These kinds of questions do not have a specific set of answers. Open-ended questions ask respondents to use their experience and knowledge to provide detailed, personal responses.

What are closed-ended questions?Closed-ended questions are questions that have a predetermined set of responses. A respondent must pick one of the provided options rather than providing a lengthy answer. A multiple-choice question is an example of a closed-ended question.When it comes to surveys, both types of questions have a place. However, open-ended questions that ask respondents to recall specific data rely too much on expectations of a respondent's memory precision. Open-ended questions may ask respondents to provide a story or personal narrative that relates to the survey topic, but they should not be used to collect specific data.

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Answer: 80

Step-by-step explanation:

Answer:80

Step-by-step explanation: