1) h(n) = 32¹; Find h(0)
2n

heres a photo of the graph to that equation

1/4 of all the students in the orchestra are girls who play string instruments.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's assume there are a total of 100 students in the school orchestra. Then, according to the problem, 2/5 of them are string players.

The number of string players is:

2/5 x 100 = 40

Out of these 40 string players, 5/8 are girls.

The number of girls who play string instruments is:

5/8 x 40 = 25

Therefore, the fraction of all the students in the orchestra who are girls who play string instruments is:

25/100 = 1/4

Therefore, 1/4 of all the students in the orchestra are girls who play string instruments.

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The probability that someone would have done at least as well as the man with no ESP is 0.077, or 7.7%.

The probability that someone would have done at least as well as the man with no ESP is calculated by the binomial probability formula. This formula takes into account the number of trials, the number of successes, and the probability of success in each trial. In this case, the number of trials is 22, the number of successes is 16, and the probability of success in each trial is 50% (0.5). The binomial probability formula states that the probability of success given this information is 0.077. This means that the probability that someone would have done at least as well as the man with no ESP is 0.077, or 7.7%.

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Answer:

When x=3 the answer is 243

Step-by-step explanation:

3 to the power of 5 (3^5) is 243

Answer:

100000

Step-by-step explanation:

7+x⁵ = 250

x⁵ = 250 - 7

x⁵ = 243

⁵√243 = ⁵√x⁵

x = 3

Then:

(7+x)⁵ = (7+3)⁵ = 10⁵

10⁵ = 100000

From the Venn diagram , the value of  required probability P(A∪B) is given by :

Option a). 0.6 . The probability that students  takes both Spanish and Chemistry.

Let us consider 'A' be the probability of the students who takes Chemistry.

And 'B' be the probability of the students who takes Spanish.

From the Venn diagram we have,

Probability of A 'P(A) ' = 0.2 + 0.1

                                    = 0.3

Probability of B 'P(B)' = 0.3 + 0.1

                                   = 0.4

Probability of A∩B 'P(A∩B)' = 0.1

Probability of A∪B is given by :

P(A∪B) = P(A) + P(B) - P(A∩B)

Substitute the value we get ,

⇒ P(A∪B) = 0.3 + 0.4 - 0.1

⇒ P(A∪B) =  0.6

P(A∪B) represents the probability of the students that takes both Chemistry and Spanish.

Therefore, the value and explanation of P(A∪B)  is equal to :

Option a). 0.6 , the probability of the students that takes both Chemistry and Spanish.

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The above question is incomplete , the complete question is:

The - Venn diagram below describes the probability of students who will take Chemistry and Spanish at Jefferson High School next year, where A Student takes chemistry and B Students takes Spanish. Suppose one student is chosen at random Use the attached Venn diagram .

Find the value of P(A∪B) and describe in words.

a.) 0.6; The probability that the student takes both chemistry and Spanish.

b.) 0.1; The probability that the student takes both chemistry and Spanish.

c.) 0.1; The probability that the student takes either chemistry or Spanish; but not both.

d.)0.6; The probability that the student takes either chemistry or Spanish, or both.

Venn diagram is attached.

Clara’s wrapping paperweight friend is a conical shape with a slanted base.

Weight is a measure of the gravitational force that is object experience due to its mass weight is typically majority Newton's and all the formula of poet is mass it is an important factor in many activities such a sports exercise and even everyday task the amount of weight and absent carries affected it balance stability and momentum with is an important factor to consider when using mechanics.

It has a 3.14 π measurement and an area of 50.24 square centimeters. It weighs 125.6 grams. The conical shape of the paperweight gives it a unique look and allows it to stand easily on a flat surface. The slant base gives it a stylish look, as well as helping it to remain stable when placed on a flat surface. The paperweight is made from a durable material, making it perfect for use as a gift. The paperweight’s 3.14 π measurement and the 50.24 square centimeters area give it a unique and eye-catching look, making it a great gift for a friend. The paperweight is also lightweight at 125.6 grams, making it easy to transport and store. This makes it a great choice for wrapping and sending to a friend as a gift.

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Answer:

Step-by-step explanation:

Firgure is out your self

From the given data, the answer is option B, 22 cans. Larissa should purchase minimum 22 cans of sport drink.

First, we need to calculate the volume of each cone-shaped cup using the given dimensions:

Radius of the cone = diameter / 2 = 7 cm / 2 = 3.5 cm

Height of the cone = 10 cm

Using the formula for the volume of a cone, we get:

Volume of each cone-shaped cup = (1/3) x π x radius² x height

Volume of each cone-shaped cup = (1/3) x π x (3.5 cm)² x 10 cm

Volume of each cone-shaped cup ≈ 128.68 cm³

Next, we need to calculate the total volume of sports drink needed for 900 servings:

Total volume of sports drink needed = 900 x 128.68 cm³

Total volume of sports drink needed ≈ 115811.2 cm³

Now, we need to calculate the volume of one economy can of sports drink using the given dimensions:

Radius of the can = diameter / 2 = 15 cm / 2 = 7.5 cm

Height of the can = 30 cm

Using the formula for the volume of a cylinder, we get:

Volume of one can of sports drink = π x radius² x height

Volume of one can of sports drink = π x (7.5 cm)² x 30 cm

Volume of one can of sports drink ≈ 5309.73 cm³

Finally, we can divide the total volume of sports drink needed by the volume of one can of sports drink to find the minimum number of cans Larissa should purchase:

Minimum number of cans of sports drink = Total volume of sports drink needed / Volume of one can of sports drink

Minimum number of cans of sports drink = 115811.2 cm³ / 5309.73 cm³ = 21.83

Since we need to purchase whole cans, the minimum number of cans Larissa should purchase is 22.

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230 lbs is approximately equal to 104.3260 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

230 lbs =  0.453592 × 230

Multiply the numbers

= 104.3260 kg ( rounded to four decimal places )

Therefore, 230 lbs is 104.3260 kg

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Answer:90

Step-by-step explanation:

The result of multiplcation of two positive numbers that is 18 and 5 or 18× 5 is equals to the ninty.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number. How to calculate 18 multiplied by 5 using long multiplication : we have one is two digits number,i.e, 18 and other one is 5.

1 8

x 5

______

Step 2: Multiply, 5 x 8 = 40. Put 0 below the line and 4 as a reminder on top:

4

1 8

x 5

_______

0

Step 3: Multiply 5 x 1 = 5. Take 5 and add 4 from the previous step to get 9. Enter 9 at the bottom:

1 8

x 5

_______

9 0

So, required value is 90.

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Answer: Math?!

Step-by-step explanation:

We can solve the given problem using conversion of Binomial to Normal distribution.

(The binomial distribution is defined as the discrete probability distribution which can only give two possible results in an experiment, that is either success or failure.)

The binomial distribution is converted to Normal distribution  when the number of total trial, denoted as n is sufficiently large and the probability of success ( or failure), represented as p is small.

Mean , E(x)= np

Variance, V(x) = npq

where  V(x) and E(x) are variance and mean of normal distribution.

Given,

n= 4590, p=  35%= 0.35, q= 0.65

Thus, E(x) = 4590 * 0.35 = 1606.5

V(x) = 4590 * 0.35* 0.65= 1044.225

Thus,  the probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is,

P( x > 1606.5)= P( x<= 1606.5)

                    = P( z= x-1606.5 / 1044.225)

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The value of the original price is $185

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

Sales price = $222.00

Percent of markup = 20%​

The original price is calculated as

Original=  Sales Price/(1 + Markup)

Substitute the known values in the above equation, so, we have the following representation

Original = 222/(1 + 20%)

Evaluate

Original = 185

Hence, the original price is $185

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Complete question

Diane wants to buy a leather chair at 20% markup. The sale price is $222. What was the original price?

The value of x is 20, and the measures of the angles are:

H = 58°

I = 71°

J = 51°

We know that the sum of the interior angles of a triangle is always equal to 180°, and here we know that the measures are:

H = 3x - 2

I = 4x - 9

J = 3x - 9

Then we can write the linear equation:

3x - 2 + 4x - 9 + 3x - 9 = 180

And solve that for x.

10x - 20 = 180

10x = 180 + 20

10x = 200

x = 200/10 = 20

Then the measures of the angles are:

H = 3x - 2 = 3*20 - 2 = 58

I = 4x - 9 = 4*20 - 9 = 71

J = 3x - 9 = 3*20 - 9 = 51

So the correct option is C.

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The values of the variables are x = 38 and x = 14

Triangle 1

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

The triangle

Where, we have

x - 2 : 27 = 4 : 3

This gives

(x - 2)/27 = 4/3

This gives

x - 2 = 36

This gives

x = 38

Triangle 2

Here, we have

13/3x = 7/(2x - 5)

Cross multiply

26x - 70 = 21x

So, we have

5x = 70

Divide

x = 14

Hence, the value of x is 14

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The height of the tree in the given situation , by using similar triangles property , we have y = 19.54 ft.

Two figures are said to be similar if they have the same shape. Congruent objects are those that are exactly the same size and shape. . The objects with similar shapes, however, varied in size despite having the same shape.

If Susan , mirror and bottom of tree are points on the ground all on one line, then the two right triangle are these:

LEFT: y and 34 as the legs and unknown hypotenuse.

RIGHT: 5 and 8.7 as legs and unknown hypotenuse.

The two angles at the mirror are of same measure; that is, the 34 and the hypotenuse of LEFT triangle makes same angle measure as the 8.7 and the hypotenuse of the RIGHT triangle.

Then the ratio of corresponding sides ,

y / 34 = 5 / 8.7

y = 19 .54 ft

The tree is 19.54 ft tall.

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The true statement on the stemplot showing the data on states that people had visited is D. If the missing data were 50, the range of the data would change substantially.

Outliers can have a significant impact on the range of a dataset. The range is the difference between the largest and smallest values in a dataset.

If an outlier is very large or very small in comparison to the other values in the dataset, it can cause the range to be much larger than it would be without the outlier.

If 50 was the missing figure, then the range would therefore have to change substantially from :

= 31 - 8

= 23

To :

= 50 - 8

= 42

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Answer:

Use a calculator it is 9

Step-by-step explanation:

The output the last three characters of a string, we need to create a variable to store the string, assign the string to the variable, and use the string slicing method to extract the last three characters

To start, we need to create a variable to store our string. We can name this variable "str". Next, we need to assign our string to the variable. We can do this by using the assignment operator "=".

Now, we can begin manipulating the string to output the last three characters. To do this, we can use the string slicing method. This method allows us to extract a portion of the string by specifying the start and end indices. In this case, we want to start at the third-last character, so our start index will be -3. Since we want the last three characters, our end index will be -1. We can use this information to create the following code:

str = "hello"

last_three_characters = str[-3:-1]

Now, when we print the variable last_three_characters, it should output "lo". This is because the slicing method extracts the characters from the start index up to, but not including, the end index.

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Complete Question:

Write a program to the postfix of 3 is the last 3 characters of a string. Given a string input, output the last three characters of that string. Assume the string will always have at least three characters

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5

= 15/20 - 4/20

= 11/20

So, the answer is 11/20

The length of the guy wire, to the nearest foot is 23 feet.

Based on the information provided, we can logically deduce that triangle ABE (ΔABE) is similar to triangle (ΔCDE) and the following parameters about the geometric figures;

Additionally, the corresponding sides of similar triangles are equal;

AB/CD = BE/DE

AB/6 = (9 + 4)/4

AB/6 = 13/4

AB = 19.5 feet.

By applying Pythagorean' theorem, side AE is given by:

AE = √(AB² + BE²)

AE = √(19.5² + 13²)

AE = 23.44 ≈ 23 feet.

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The area of the play area is 8.74 square feet.

If Highwood Park has 420 feet of fencing, then we can use the formula f = 47(a + 9) – 16 to calculate the area of the play area.

This formula takes in account the area (a) of the play area, as well as the number of feet of fencing needed to enclose it (f).

In this equation, the number of feet of fencing (f) is equal to 47 multiplied by the area (a) plus 9, and then subtracted by 16.

Since we know that the amount of fencing is 420 feet, we can solve the equation for the area, a.

First, we need to subtract 16 from both sides of the equation. This leaves us with

=> 420 = 47a + 9.

Next, we subtract 9 from both sides of the equation, which gives us

=> 411 = 47a.

Finally, we divide both sides of the equation by 47, which gives us

=> a = 8.74.

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An online calculator of simplifying fractions is a tool that can be used to reduce a fraction to its simplest form or lowest terms.

These calculators are easily accessible on the internet and are designed to make it easy for users to simplify fractions quickly and accurately. To use the calculator, users simply input the numerator and denominator of the fraction they wish to simplify.

The calculator then performs the necessary calculations to find the greatest common factor of the numerator and denominator and divides both by this factor to provide the simplified fraction. These calculators can be especially helpful for students and professionals who need to simplify a large number of fractions or who are learning how to simplify fractions for the first time.

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3x + 8 = 3x + x, which has one solution at x = 8 for the equation..

In arithmetic, a solution to the equation expresses can be substituted for the variable to provide a piece of real number information.

The equation is given as 3x+8=3x+ ____.

If 3x + 8 = 3x + 9 has no solution for the equation.

If 3x + 8 = 3x + 8 has infinite solutions for the equation.

If 3x + 8 = 3x + x is equal to 3x + 8 = 4x, which has one solution at x=8 for the equation.

Therefore, 3x + 8 = 3x + x, which has one solution at x = 8 for the equation.

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The question seems incomplete, the complete question would be as:

3x+8=3x+ ____

What value could you write in after 3x that would make the equation true for:

Group of answer choices

no values of x

[ Choose ]

all values of x

[ Choose ]

just one value of x

[ Choose ]

The expected population size after two generations is 216.

To calculate the expected population size after two generations using the given value of λ, we can use the formula:

[tex]Nt = N0 * lemda ^{t}[/tex]

where Nt is expected population size after t generations,

N0 is the initial population size, and lemda (λ) is the geometric growth rate.

Here, initial population size is N0 = 150, and the growth rate is λ = 1.2. We want to find the expected population size after two generations, so t = 2.

Putting these values into the formula, we get:

[tex]Nt = 150 * (1.2)^{2} \\Nt = 150 * 1.44\\Nt = 216[/tex]

Therefore, the expected population size after two generations is 216.

So, the correct answer is option (d) 216.

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The conversion of 750ml in oz is equal to 25.36 fluid ounces.

One- thousandth of a liter is a substitute to one milliliter.

Milliliters denoted by ml.

Ounces and fluid ounces are two unlike units.

1 fluid ounce is equal to the 1.04 oz weight.

US fluid ounce contain 29.6 milliliters and British fluid ounce contain 28.4 milliliters.

Ounce expressed by notation oz.

We can use the following formula to convert milliliters (ml) to fluid ounces (oz):

1 ml = 0.033814 oz

Here we want to convert the  750ml into oz

So, to convert 750 ml to oz,

We can multiply 750 by 0.033814:

750 ml × 0.033814 oz/ml

= 25.36 oz (rounded to two decimal places)

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54 degrees Celsius is equivalent to 129.2 degrees Fahrenheit.

A temperature unit developed from the SI (International System of Units) is the Celsius (symbol: °C).

Prior to the adoption of the metric system, the Fahrenheit (symbol: °F) was a commonly used measurement of temperature.

Add 1.8 to the °C temperature.

To this number, add 32.

This is the response in degrees Fahrenheit.

To convert 54 degrees Celsius to Fahrenheit,

You can use the formula:

°F = (°C × 9/5) + 32

where °F is the temperature in Fahrenheit,

°C is the temperature in Celsius.

Substituting 54 for °C, we get:

°F = (54 × 9/5) + 32

°F = (486/5) + 32

°F = 97.2 + 32

°F = 129.2

Therefore, 54 degrees Celsius is equivalent to 129.2 degrees Fahrenheit.

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The result of the multiplication of -5.6 and -4/2 is given as follows:

11.2.

The multiplication operation for this problem is defined as follows:

-5.6 x -4/2.

A multiplication operation and a division operation have the same precedence, hence we can simplify the division as follows:

-4/2 = -2. (fraction is equivalent to a division operation).

Considering the simplified quotient, the multiplication is given as follows:

-5.6 x (-2)

As two terms with the same signal are multiplied, the product is positive, 5.6 x 2 = 11.2, hence the product is given as follows:

-5.6 x (-2) = 11.2.

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Answer:

Step-by-step explanation:

The sequence is in AP

a=-12, d= -4

Nth term is given by [tex]T_{n}=a+(n-1)d\\[/tex]

[tex]T_{n}=-12+(n-1)(-4) = -12-4n+4 = -4n-8[/tex]

[tex]T_{n}= -4n-8[/tex]

With the help of linear equation 3 3/5+x=7 1/5, Elana ran 3 3/5 miles.

What exactly is a linear equation?

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0, for example, x-10=0. In this equation, x is a variable, A is a coefficient, and B is constant.

A linear equation in two variables has the conventional form Ax + By = C, for example, 2x-4y=10. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.

Now,

Given that Emily ran 3 3/5 miles.

and Emily and Elana together ran 7 1/5 miles

i.e. 3 3/5+x=7 1/5

where x= Miles Elana ran

then x=7 1/5 - 3 3/5

=3 3/5

hence,

      The  linear equation will be 3 3/5+x=7 1/5 and Elana ran 3 3/5 miles.

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