A baseball diamond is a square with a distance of 90ft from home base to first base what is the area of the baseball, diamond

Answer:

1.59375

Step-by-step explanation:

51 divided by 32 which is 1.59375

to check if you are right you do 1.59375 times 32 which equals to 51

Answer:

a 20 X 40 X x

b just a guess but 2 centimeters

c 1600 or 800 depending on what x is

The quadrilateral with vertices at (1, -2, 3), (4, 3, -1), (2, 2, 1), and (5, 7, -3) is a parallelogram, and its area can be found using the cross product of two adjacent sides.

1

To show that the quadrilateral is a parallelogram, we need to demonstrate that opposite sides are parallel. Two vectors are parallel if and only if their cross product is the zero vector.

Let's consider the vectors formed by two adjacent sides of the quadrilateral: v1 = (4, 3, -1) - (1, -2, 3) = (3, 5, -4) and v2 = (2, 2, 1) - (1, -2, 3) = (1, 4, -2).

Now, we calculate their cross product: v1 × v2 = (3, 5, -4) × (1, 4, -2) = (-12, -2, 22).

Since the cross product is not the zero vector, we can conclude that the quadrilateral is indeed a parallelogram.

To find the area of the parallelogram, we can calculate the magnitude of the cross product: |v1 × v2| = √((-12)² + (-2)² + 22²) = √(144 + 4 + 484) = √632 = 2√158.

Therefore, the area of the quadrilateral is 2√158 square units.

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One bottle of liquid plant food is enough for at least 12 weeks, and potentially a bit more.

William uses 40 milliliters of liquid plant food per week, so to find out how much plant food he needs for 12 weeks, we can simply multiply the weekly usage by the number of weeks:

Amount of plant food needed for 12 weeks = 40 milliliters/week x 12 weeks = 480 milliliters

So, William needs 480 milliliters of liquid plant food for 12 weeks.

Since the bottle of liquid plant food, William purchased contains 0.5 liters or 500 milliliters of liquid plant food, we can see that one bottle is enough for 12 weeks since 480 milliliters is less than the total amount of liquid plant food in the bottle.

In fact, we can calculate how many weeks one bottle of liquid plant food will last William by dividing the total amount of liquid plant food in the bottle by the amount used per week:

Time to use up the liquid plant food = (Total amount of liquid plant food) / (Amount used per week) = 500 ml / 40 ml/week ≈ 12.5 weeks

So, we can say that one bottle of liquid plant food is enough for at least 12 weeks, and potentially a bit more.

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The correct question should be:

William bought a 0.5 -liter bottle of liquid plant food. He uses 40 milliliters each week? How much plant food does William need for 12 weeks? Is one bottle enough for 12 weeks?

Answer:

Question 1: Customer #2 will leave the largest tip

Question 2: Customer #2 has the smallest total bill, including tax and tip

Question 3: Customer #3's total bill is approximately 10% less than Customer #1's total bill

Question 4: The best expression that would represent this scenario would be: 1.06 b + 0.16(1.06 b) ⇒ a

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

[~Answer~] (5.):

Hello cat. I'm Avery, and I'm here to help you! I mostly believe the answers are (in answer explanation)

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[~Answer Explanation~]:


Customer #2 has the smallest total bill, including tax and tip.

Choice A, 1.06b + 0.16(1.06b), is correct.

Customer 3's bill is approximately 10% less than customer 1's bill.

Customer 2 leaves the bigger tip.

For customer #1:

Customer #2 has the smallest total bill, including tax and tip.

Choice A, 1.06b + 0.16(1.06b), is correct.

Customer 3's bill is approximately 10% less than customer 1's bill.

Customer 2 leaves the bigger tip.

For customer #1:

(1.06(12.95))(1.15) = 15.79; the tip is 0.15(1.06(12.95)) = 2.06.

For customer #2:

1.06x = 11.65; x = 10.99; 20% tip = 0.2(10.99) = 2.20; total = 11.65+2.20 = 13.85.

For customer #3:

1.06(11.50) + 0.18(11.50) = 14.26; the tip is (0.18)(11.50) = 2.07.

Customer 3 spends 15.79-14.26 = 1.53 less than customer #1, which is 1.53/15.79 = 0.097 ≈ 10% less.

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Last Messages~]:

Okay, I really hope my answer is correct.

I am truly sorry if it's wrong :(

Have a great morning, afternoon, or night. <333

(btw, it's Lilo, I changed my name to Avery <3333)

[-!AveryIsSomeHowAlive!-]

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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To obtain a point estimate for the population proportion of adults in the country age 18 and older who have donated blood in the past two years, we can use the formula; P-hat = Number of adults who have donated blood / Total number of adults surveyed Substituting the values we have.

P-hat = 419 / 2298= 0.182 (rounded to three decimal places) Therefore, the point estimate for the population proportion of adults in the country age 18 and older who have donated blood in the past two years is 0.182.B) The requirements for constructing a confidence interval about P are satisfied if; np ≥ 10 and nq ≥ 10where p and q are the sample proportions, and n is the sample size. Substituting the values from the question ;

np = 2298(0.182) = 418.836

nq = 2298(0.818)

= 1879.164 Since np ≥ 10 and nq ≥ 10, the requirements for constructing a confidence interval about P are satisfied.

It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification. Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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We have shown that the sum of the x-, y-, and z-intercepts of any tangent plane to the surface √x + √y + √z = √c is a constant.

To find the x-, y-, and z-intercepts of a plane, we can set one of the variables to zero and solve for the other two. Therefore, we can find the x-, y-, and z-intercepts of any tangent plane to the surface √x + √y + √z = √c by setting one of the variables to zero.

Let's start by finding the x-intercept of the tangent plane. We set x = 0, and the equation becomes √y + √z = √c. We can now square both sides of the equation to get y + z + 2√yz = c. Since we are looking for the x-intercept, we want to solve for the value of y and z when the plane intersects the x-axis. When x = 0, the equation of the tangent plane becomes y + z = c, which means that the x-intercept is (0, c, 0). Similarly, we can find the y- and z-intercepts of the tangent plane by setting y = 0 and z = 0, respectively.

Setting y = 0 in the equation √x + √y + √z = √c gives us √x + √z = √c, which, when squared, becomes x + z + 2√xz = c. This is the equation of the tangent plane when y = 0, and it intersects the y-axis at (c, 0, 0).

Setting z = 0 in the equation √x + √y + √z = √c gives us √x + √y = √c, which, when squared, becomes x + y + 2√xy = c. This is the equation of the tangent plane when z = 0, and it intersects the z-axis at (0, 0, c).

Therefore, the x-, y-, and z-intercepts of any tangent plane to the surface √x + √y + √z = √c are (0, c, 0), (c, 0, 0), and (0, 0, c), respectively. The sum of these intercepts is (0 + c + 0) + (c + 0 + 0) + (0 + 0 + c) = 3c, which is a constant. Therefore, we have shown that the sum of the x-, y-, and z-intercepts of any tangent plane to the surface √x + √y + √z = √c is a constant.

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The required solution of the given function is \((2)^{\frac{3}{2} } \\\\\).

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given function is

\(f(x)=x^{3} , g(x)=\sqrt{x} ,h(x)=x/3\)

According to given question we have

The function is

\(f(x)=x^{3} , g(x)=\sqrt{x} ,h(x)=x/3\\\\\)

By put the value of x= 6 in h(x) we get

h(6)= 6/3

h(6)= 2

So,

g(h(x))=g(h(6))

g(h(6))= \(\sqrt{2}\)

Again ,

f(g(h(x)))=f(g(h(6)))

f(g(h(6)))=

\((\sqrt{2} ^{3} )\\\\=(2)^{\frac{3}{2} } \\\\\)

Therefore, the required solution of the given function is \((2)^{\frac{3}{2} } \\\\\).

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The number of radians that the minute hand of a clock passes through if it has a length of 5 inches and its tip travels a distance of 13 inches is 2.6 radians.

We have to determine the number of radians that the minute hand of a clock passes through if it has a length of 5 inches and its tip travels a distance of 13 inches.

Therefore, the angle that the minute hand passes through is the angle of the triangle formed by the two sides of the minute hand and the distance traveled by the tip of the minute hand.

Length of the minute hands(r) = 5 inches

Tip Travels a total distance = 13 inches

Length of the arc(l) = 13 inches

According to the formula

l = r × θ

Divide by r on both side, we get

θ = l/r

Now putting the value

θ = 13/5

θ = 2.6 radians

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A. Yes

Step-by-step explanation:

(x,y) -> (1,3)

y=2x-(-1)

y=2(1)-(-1)

y=2-(-1) -(-) = + (two negatives make a positive)

y=2+1

y=3

Answer: yes they are the same

Step-by-step explanation:

y = 2x - -1

3 = 2(1) - -1

3 = 2 - -1

3 = 2 + 1 ( 2 negatives equal 1 positive)

3 = 3

Answer:

nice to see you again

Step-by-step explanation:

14.) 20

15) 16

16) true

Answer:

20, 16, true

Step-by-step explanation:

The input is the number of rides, or the x-coordinate. The output is the dollars remaining on card, or the y-coordinate. We know this because the number of rides dictates how much money is on the card.

14. The question is asking for the output when the input is ten. Thus, we need to find the y-coordinate on the line when the x-coordinate is 10. We see that (10,20) is on the line, so then our output (or y-coordinate) is 20.

15. The question is asking for the input when the output is five. Thus, we need to find the x-coordinate on the line when the y-coordinate is 5. We see that (16,5) is on the line, so then our input (or x-coordinate) is 16.  

16. 7 rides is the x-coordinate, and 27.50 is the cost, or the y-coordinate. However, this is true because even though the y-coordinate is NOT the cost of the rides, but the amount of money remaining on the card AFTER the rides are cashed in, 27.50 is half of 45 dollars, so then if 27.50 is spent on the rides, there will still be 27.50 left over on the card. Thus, it is true.

Step-by-step explanation:

so A is 1,0 because if you see the dot it is right next to 2 and u go left 1 time from the origin that is the middle and you go up 0 times so it is (1,0).

Ok for b if you see that you start at the origin and it is 0 and you go down -3 so your answer would be (0,-3)

So for C you need to go 6 left to be able to reach -6 and you need to go up 5 because the 4 is right below five so you count one time up so your answer would be (-6,5).

So for D you see that the point is in the middle of -4 and -2 so you will need to go 3 down since the point is one the 3rd lane and if you look to the left it would be 5 because it is in the middle of -4 and -6.

Answer:

False

Step-by-step explanation:

It is not because a linear function make a straight line, since it contains \(x^{2}\) is is not linear. It creates a parabola.

a. The relationship between time and distance is not an arithmetic sequence, as the rate of change is not constant.

b. The distance is given by: d(n) = 5n².

An arithmetic sequence happens when the change in the output is always the same when the input changes by one, that is, the rate of change is constant.

From the table, the increases when the input(time) increases by one are given as follows:

15, 15, 35, 45.

The increases are not constant, hence the relationship between time and distance is not an arithmetic sequence.

The equation for the distance is given as follows:

d(t) = 0.5gt².

The constant is:

g = 10.

Hence:

d(t) = 5t².

At a time of n seconds, the distance is found replacing the lone instance of t by n, hence:

d(n) = 5n².

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Answer:

115

Step-by-step explanation:

answer is in photo above

Answer:

Step-by-step explanation:

Given equation: f(x)=x^2+x-6

The roots of the equation, set the equation equal to zero.

\(x^2+x-6=0\\x^2+3x-2x-6=0\\x(x+3)-2(x+3)=0\\ (x+3)(x-2)=0\\ x=-3,2\)

Therefore, the roots of the equation are x=-3 and x=2

Answer:

Theoretical Probability: 33%

Experimental Probability: 25%

Which is greater?: Theoretical

Step-by-step explanation:

If two out of the six sections are labeled as 2, you'd have a theoretical probability of \(\frac{1}{3}\) or 33% of winning.

Based on Stacy's experiment results, the pointer landed on a winning spin 30 out of the 120 times it was spun. This makes the experimental probability \(\frac{1}{4}\) or 25% of winning.

In this scenario, the theoretical probability is greater than the experimental probability.

Hope this helps~!

Answer:

16 pi units or about 50.265 units

Step-by-step explanation:

formula for area of circle is πr^2

Using the image, the radius (half the diameter) is 4 units

put this in equation

pi times 4^2

pi times 16

16pi

For Milton to fill the 3-gallon aquarium with water, the 1-quart container will need to be filled and emptied 12 times.

The 3-gallon aquarium must first be converted to quarts. A 3-gallon aquarium holds 12 quarts since 1 gallon equals 4 quarts.

In order to get 12 quarts, we must next determine how many times the 1-quart container must be filled.

12 quarts divided by one quart equals 12 containers.

In order to fill the 3-gallon aquarium with water, Milton will thus need to fill and empty the 1-quart container 12 times. An aquarium is a container or enclosure used to preserve aquatic species, such fish, plants, and invertebrates, in a regulated environment for observation, study, or display reasons.

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To find h(6), we have to evaluate the given function when x = 6.

A. square root of 11 is it

The required length of the legs of triangle is 11√2. Option D is correct.

From figure
Hypotenuse = 22
Angles of leg = 45°

The triangle is geometric shape which includes 3 sides and sum of interior angle equal to 180°.

Let the length of the legs be x

sin45 = perpendicular/Hypotenuse
1/√2 = x/22
x = 11√2

Thus, the required length of the legs of triangle is 11√2.

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Answer:  16

Step-by-step explanation:

i did the math trust me

Answer:

Step-by-step explanation:

The general solution to the differential equation y'' + 16y = 0 is y(x) = (c₁ + c₂) * cos(4x)

To solve the differential equation y'' + 16y = 0 using reduction of order, we'll assume a second solution of the form y₂(x) = u(x) * y₁(x), where y₁(x) is a known solution and u(x) is an unknown function.

Given y₁(x) = cos(4x), we'll differentiate it to find y₁'(x) and y₁''(x):

y₁'(x) = -4sin(4x)

y₁''(x) = -16cos(4x)

Now we substitute y₂(x) = u(x) * y₁(x) into the original differential equation:

y'' + 16y = 0

(-16cos(4x)) + 16(u(x) * cos(4x)) = 0

Simplifying the equation:

-16cos(4x) + 16u(x) * cos(4x) = 0

cos(4x)(-16 + 16u(x)) = 0

For this equation to hold for all values of x, we must have (-16 + 16u(x)) = 0.

Solving for u(x):

-16 + 16u(x) = 0

16u(x) = 16

u(x) = 1

Now we have the second solution:

y₂(x) = u(x) * y₁(x)

y₂(x) = 1 * cos(4x)

y₂(x) = cos(4x)

Therefore, the general solution to the differential equation y'' + 16y = 0 is:

y(x) = c₁ * y₁(x) + c₂ * y₂(x)

y(x) = c₁ * cos(4x) + c₂ * cos(4x)

y(x) = (c₁ + c₂) * cos(4x)

Where c₁ and c₂ are arbitrary constants.

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The claim that the nutritionist is trying to find evidence to support is that the mean daily coffee consumption among the student coffee drinkers exceeds 3.1 cups, which is option E.

The nutritionist's survey results suggest that the mean daily coffee consumption for the sample of student coffee drinkers is 3.5 cups, which is greater than the reported mean for American adult coffee drinkers.

The nutritionist wants to run a one-sample t-test for a mean to determine if the difference is statistically significant and provides evidence to support her suspicion that the mean daily coffee consumption among student coffee drinkers at her university is greater than the national average.

Therefore, correct answer is option E.

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The code initialises a dictionary with key-value pairs {1: 'x', 2: 'y', 3: 'z'}. The output of the given code is "y".Then it uses the get() method to retrieve the value of the key 2 from the dictionary.

The required output of the given code, which includes "dict = {1: 'x', 2: 'y', 3: 'z'}" and "print(dict.get(2, 'a'))", will be 'y'. The output of the given code is "y".This is because the "get" method retrieves the value associated with the key '2', which is 'y' in the provided dictionary. The arranging of phrases and words to create good sentences is known as syntax. The most fundamental syntax uses the formula subject + action + direct object. Jillian "struck the ball," in other words. We can comprehend that we wouldn't write, "Hit Jillian the ball," thanks to syntax. The arrangement of words in units like phrases, clauses, and sentences is referred to as syntax.

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In order to get a B in my class, I will need at least 230 points

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

But there's a direct way of doing that which is simply subtracting what we have from the total to get what is left.

The points needed = Total points required - points gotten.

Points needed = 350 - 120

Points needed = 230

I will need 230 points

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Answer:

x = - 4

Step-by-step explanation: