I need help with geometry

Therefore, the time it takes for the Ferris wheel to make one full revolution is 10 minutes.

In computer programming, a variable is a container that holds a value, which can be a number, a text string, a Boolean value (True or False), or any other data type.

Variables are used to store data that can be changed or manipulated during the execution of a program. They are given a name or identifier, which is used to refer to the value stored in the variable. The value stored in a variable can be modified or reassigned throughout the program.

The height of the Ferris wheel seat is given by the function:

h(t) = 50sin(2πt/10) + 60

where t is the time in minutes since the Ferris wheel started.

We can see that the function is periodic with a period of 10 minutes. This means that the Ferris wheel completes one full revolution every 10 minutes.

To see why, note that the sine function has a period of 2π, which means that it completes one full cycle from 0 to 2π. In this case, the sine function completes one full cycle in 10 minutes, because the argument of the sine function is 2πt/10.

Therefore, the time it takes for the Ferris wheel to make one full revolution is 10 minutes.

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Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality for the red portion is,

slope, m = (-2/-4) = 1/2

y-intercept is 2.

y ≤ (1/2)x + 2

The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2

y-intercept is -1.

y > 2x - 1

Hence, the correct options are 2 and 3.

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The highest score for the given distribution is 25.

This is because the distribution is divided into ranges, with the first range being 20-25, the second range being 15-19, the third range being 10-14, and the fourth range being 5-9.

The highest score in each range is the number on the right side of the dash.

Therefore, the highest score in the first range is 25, the highest score in the second range is 19, the highest score in the third range is 14, and the highest score in the fourth range is 9.

Since 25 is the highest score among all of the ranges, it is the highest score for the entire distribution.

The correct answer is c) 25.

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Answer:

Step-by-step explanation:

C. lol

The range of |f(x)| is [0, 9].

We are given that the range of the function f is [−2, 9]. We are required to find the range of |f(x)|.

Range of a function is defined as the set of all output values (y-values) that a function can produce. It is also called the codomain of the function.

The absolute value of a number is always positive or zero. Therefore, if the function has any negative values in the range, the absolute value of those negative values will be positive and their range will be the same as the positive range.

Therefore, the range of |f(x)| will be [0, 9]. This means that the range of |f(x)| is [0, 9] and is expressed in the interval notation as follows: [0,9].

Therefore, the range of |f(x)| is [0, 9].

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The length of the rectangle is, 12 miles and the width is, 6 miles.

What is the dimensions of rectangle?

Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth (width). A triangle's or an oval's interior likewise has two dimensions.

Given: The width of the rectangle is 6 miles less than the length.

Suppose the length of the rectangle is x.

Then width is x - 6.

Also given that the area of the rectangle is 72 miles.

Since,

Area of rectangle = length x width

72 = x(x - 6)

72 = x^2 - 6x

x^2 - 6x - 72 = 0

x^2 - 12x + 6x - 72 = 0

x(x - 12) + 6(x - 12) = 0

(x + 6)(x - 12) = 0

x + 6 = 0,    x - 12 = 0

So, x = -6,  x = 12.

Since the length will not be negative.

Therefore, x = 12.

Hence length = 12 miles

width = 12 - 6 = 6 miles.

Therefore, the length of the rectangle is 12 miles and the width is 6 miles.

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Given:

Layla buys 3.6 pounds of dried fruit.

Cost of dried fruit is $4.55 per pound.

Cost per pound is multiplied to the number of pounds we buy.

Answer:

1=(90-20) = 70 (since right angle triangle)

2=90 because intersection of diagonals of a rhombus

3= 1 = 70° because triangle ADC is isosceles

4= 1 = 3= 70°

Area of three rectangles

Area of two triangles

Total

The nature of the solution to the system of linear equations is a unique solution.

To determine the nature of the solution to each system of linear equations, we need to examine the slopes of the two equations.

For the first equation, y = (-1/4)x + 1, the slope is -1/4.

For the second equation, y = (2/3)x + 4, the slope is 2/3.

Now let's analyze the nature of the solutions:

1. If the slopes of the two equations are different, the system has a unique solution. This means the lines represented by the equations intersect at a single point.

2. If the slopes of the two equations are the same and the y-intercepts are different, the system has no solution. This means the lines represented by the equations are parallel and do not intersect.

3. If the slopes of the two equations are the same and the y-intercepts are the same, the system has infinitely many solutions. This means the lines represented by the equations are identical and overlap.

In this case, the slope of the first equation (-1/4) is different from the slope of the second equation (2/3). Therefore, the system has a unique solution, and the lines represented by the equations intersect at a single point.

The nature of the solution to the system of linear equations is a unique solution.

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The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.

To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula

z = ( x- μ)/ σ

where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get

z = ( 42,000- 40,000)/ 3,000 = 0.67

Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.

thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.

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The correct question is given below-

A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?

Answer:

$39.36

Step-by-step explanation:

Can find how much the sales tax cost:

32 x 0.08 = $2.56

Can also find out how much he tipped:

32 x 0. 15 = $4.80

Total = $32 + sales tax + tip

Total = $32 + $2.56 + $4.80

Total = $39.36

Answer:

$39.36 in total

Step-by-step explanation:

32×0.08= 2.56

32×0.15= 4.8

4.8+2.56= 7.36

32+7.36=39.36

Answer:

D. 6

Step-by-step explanation:

The first digit after the decimal is the tenth place

The 2nd digit after the decimal is the hundredth place

Answer:

D. 6.

Step-by-step explanation:

Here are the options verified:

Correct choice is D.

Answer:

1.5 or 1 1/2

Step-by-step explanation:

Answer: 1.5

Step-by-step explanation:

put it in a fraction so its 45/30 then divide both sides by 15 since they are divisable by 15.

45/30 divided by 15/15 is 3/2 which is equal to 1.5

Answer: 81

Step-by-step explanation: this would be 81 because \(3^{3}\) is basically 3 x 3 x 3 and 3 x 3 x 3=27 then multiply 27 by 3, and you get 81

Answer:

3^4. my answer needs to be 20+character sooooooooo

The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

The dice will show a sum of 7 if you roll

• 1 and 6

• 2 and 5 (2 ways)

• 3 and 4 (3 ways)

so there are 6 ways of rolling a sum of 7. Out of 6 × 6 = 36 possible outcomes, the probability of rolling a sum of 7 is 6/36 = 1/6.

Answer:

C: (12,4)

Step-by-step explanation:

We can find the slope of the line with "rise over run"

The pattern is 1 unit up, 3 units to the right

By following this pattern from point (9,3),

we go 1 unit up on the y axis, moving (9,3) to (9,4)

Next we move 3 units right on the x-axis,

moving (9,4) to (12,4)

Answer is (12,4)

Answer:

5^3

Step-by-step explanation:

if the big numbers are the same keep it and if it's dividing subtract the exponents

Alberto solves the question wrongly, the correct solution is 5^3.

Given that,
Critique Reasoning: Alberto incorrectly stated that 5^7/5^4=1^3.
To determine Alberto's error.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression is,
5^7/5^4=1^3

in the above expression let's solve the left-hand side
LHS,
= 5^7 / 5^4
= 5 * 5 * 5 * 5 * 5 * 5 * 5 / 5 * 5 * 5 * 5

Now there are 7 5's in the numerator and 4 5's in the denominator, so 4 5's will be eliminated from the numerator by the 5 in the denominator.

= 5 * 5 * 5

Now there are 3 5's, which imply
= 5^3
So the required solution of the expression  is 5^3
But Alberto's answer is 1^3 which is his error.

Thus, Alberto solves the question wrongly, the correct solution is 5^3.

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The standard deviation of times taken for germination for cauliflower seeds is approximately 0.70 days.

To find the standard deviation of times taken for germination for cauliflower seeds, we can use the concept of the standard normal distribution.

Let's denote the standard deviation as σ.

Given that 90% of the cauliflower seeds germinate in 6.2 days or more, we can find the z-score corresponding to this percentile.

The z-score can be calculated using the formula:

z = (x - μ) / σ

where:

x = 6.2 (the value of interest)

μ = 7.1 (mean)

σ = standard deviation (to be determined)

To find the z-score, we can rearrange the formula as follows:

σ = (x - μ) / z

Substituting the given values:

σ = (6.2 - 7.1) / z

To find the z-score corresponding to the 90th percentile, we look up the value in the standard normal distribution table or use a calculator. The z-score for a cumulative probability of 0.9 is approximately 1.2816.

Substituting the z-score into the formula:

σ = (6.2 - 7.1) / 1.2816

Performing the calculation:

σ = -0.9 / 1.2816 ≈ -0.7020

Rounding the standard deviation to two decimal places, we get:

σ ≈ -0.70

Therefore, the standard deviation of times taken for germination for cauliflower seeds is approximately 0.70 days.

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Mean μ = 7.1 daysProbability P(X ≥ 6.2) = 0.90We are supposed to find the standard deviation of times taken for germination for cauliflower seeds.Since the probability distribution of the germination times is normal, it follows a standard normal distribution, that is, Z-distribution.

Therefore, we can transform the given data into the standard normal distribution as follows;Z = (X - μ) / σWhereX = 6.2 daysσ = standard deviationThe given probability can be rewritten as:P(X ≥ 6.2) = P(Z ≥ (6.2 - 7.1) / σ)P(Z ≥ -0.9 / σ) = 0.90Now, we need to find the Z value corresponding to the given probability using a standard normal distribution table.Using the table, we can find the Z value as;Z = 1.28Thus, substituting Z = 1.28 and solving for σ, we get;1.28 = -0.9 / σσ = -0.9 / 1.28σ = 0.7031Approximating to two decimal places, the standard deviation is given by;σ = 0.70Therefore, the standard deviation of times taken for germination for cauliflower seeds is 0.70 days.

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If a pollster wishes to estimate the number of left-handed scientists. The sample that is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4% is: 176.71.

Using this formula to find the sample

n =Z²π (1-π) ÷ e²

Where:

n =sample size =?

Z =  Z -score for 95% confidence level =1.960

π = Population proportion = 0.08

e = Margin of error = 0.04

Let plug in the formula

n = 1.96² × 0.08 × (1 - 0.08) ÷ 0.04²

n =  3.8416× 0.08 × 0.92 ÷ 0.0016

n = 176.71

Therefore the sample is 176.71.

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The number of miles that Hummer H1 can go would be = 230 miles.

To calculate the number of miles the vehicle can travel when a certain amount of gallons are given would be done following the steps below.

The number of miles for 1 gallon of gas = 10 miles

The number of miles for 23 gallons of gas = X miles

That is :

1 gallon = 10 miles

23 gallons = X miles

make X miles the subject of formula;

X miles = 23×10/1

= 230 miles.

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Answer:

the picture is not coming clearly !!!

the formula for dy/dx in terms of x and y is:

dy/dx = -3/(x) * y

the value of dy/dx at the point (81, 16) is - 16/27

To find the formula for dy/dx in terms of x and y, we'll differentiate the given equation with respect to x:

\((90x^{(3/4)})(y^{(1/4)})\) = 4860

Differentiating both sides with respect to x:

d/dx [\((90x^{(3/4)})(y^{(1/4)})\)] = d/dx [4860]

Using the product rule for differentiation:

(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\) + (90\(x^{(3/4)\))(1/4)(\(y^{(-3/4)\))(dy/dx) = 0

Simplifying:

(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\)  + (90\(x^{(3/4)\))(1/4)(\(y^{(-3/4)\))(dy/dx) = 0

Rearranging terms and isolating dy/dx:

(dy/dx) = -[(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\)] / [(90\(x^{(3/4)}\))(1/4)(\(y^{(-3/4)\))]

Simplifying further:

(dy/dx) = -3/(x) * y

Therefore, the formula for dy/dx in terms of x and y is:

dy/dx = -3/(x) * y

Now let's find the value of dy/dx at the point (81, 16):

Substituting x = 81 and y = 16 into the formula:

dy/dx = -3/(81) * 16

      = -3/81 * 16

      = - 16/27

Therefore, the value of dy/dx at the point (81, 16) is - 16/27

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Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

#2

Dogs=30

Answer:

a) 1.6

b)1.875

Step-by-step explanation:

Answer:

a) 5/8, 0r 0.625

b)15/8, or. 1.875, or 1 7/8

Answer:

Just cross multiply

48+42i-42i-36i

then your final answer is: 48-36i