I REALLY NEED HELP PLEASE

There is no catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance.

From the graph,

x axis represents the arm length of the catapult and the y axis represents the distance.

The point at which the catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance is the intersecting point of the both line

The coordinates of the intersecting point = (-30, 90)

Here arm length represents -30, but the arm length cannot be a negative value

Therefore, there is no arm length that gives equal distance

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Answer:

There is no catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance.

Step-by-step explanation:

Answer:

The slope is 1/4!

Step-by-step explanation:

The formula to find slope is y2-y1 the x2-x1. Hope this helps!

Answer:

four and seven. your welcome

Answer:

A, C

Step-by-step explanation:

56÷4=14 and 56÷7=8

Answer:

x=11/18 or 0.61

Step-by-step explanation:

Let x represent the blank

\(As\ x:11::1/3:6\ form\ a\ proportion,\ we\ may\ use\ the\ ratio\ method\ to\ find\ x.\\\\Hence,\\x:11::1/3:6\\6x=1/3*11\\x=11*1/3*1/6\\x=11*1/18\\x=11/18\)

Making assumptions about the marginal pmf fx(x) and the conditional pmf h(y|x), probability P(X+Y>4) is 0.35.

To compute P(X+Y>4), we need to consider the possible values of X and Y and calculate the probabilities accordingly.

Let's analyze the scenario step by step:

Randomly choosing X from the interval [0, 4]:

The possible values for X are 0, 1, 2, 3, and 4. We assume a uniform distribution for X, meaning each value has an equal probability of being chosen. Therefore, the marginal pmf fx(x) is given by:

fx(0) = 1/5

fx(1) = 1/5

fx(2) = 1/5

fx(3) = 1/5

fx(4) = 1/5

Choosing Y from the interval [0, x]:

Since the value of X is observed, the range for Y will depend on the chosen value of X. For each value of X, Y can take on values from 0 up to X. We assume a uniform distribution for Y given X, meaning each value of Y in the allowed range has an equal probability. Therefore, the conditional pmf h(y|x) is given by:

For X = 0: h(y|0) = 1/1 = 1

For X = 1: h(y|1) = 1/2

For X = 2: h(y|2) = 1/3

For X = 3: h(y|3) = 1/4

For X = 4: h(y|4) = 1/5

Computing P(X+Y>4):

We want to find the probability that the sum of X and Y is greater than 4. Since X and Y are independent, we can calculate the probability using the law of total probability:

P(X+Y>4) = Σ P(X+Y>4 | X=x) * P(X=x)

= Σ P(Y>4-X | X=x) * P(X=x)

Let's calculate the probabilities for each value of X:

For X = 0: P(Y>4-0 | X=0) * P(X=0) = 0 * 1/5 = 0

For X = 1: P(Y>4-1 | X=1) * P(X=1) = 1/2 * 1/5 = 1/10

For X = 2: P(Y>4-2 | X=2) * P(X=2) = 1/3 * 1/5 = 1/15

For X = 3: P(Y>4-3 | X=3) * P(X=3) = 1/4 * 1/5 = 1/20

For X = 4: P(Y>4-4 | X=4) * P(X=4) = 1/5 * 1/5 = 1/25

Summing up the probabilities:

P(X+Y>4) = 0 + 1/10 + 1/15 + 1/20 + 1/25

= 0.35

Therefore, the probability P(X+Y>4) is 0.35.

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Answer:

B. Multiply by 2, add 1

explanation:

23× 2 = 46 + 1 = 47

47 × 2 = 94 + 1 = 95

95 × 2 = 190 + 1 = 191

Answer:

The answer to that equation might be (1,2)

Answer:

Ez *puts link epicly* B^)

Answer:

\( p(x) = k[ x^2-4x-104] \)

Step-by-step explanation:

Say if alpha and beta are the zeroes of the quadratic polynomial then the quadratic polynomial is given by ,

\(\implies p(x) = k[x^2-(\alpha+ \beta)x +\alpha\beta ] \)

\(\implies p(x) = k[ x^2 - [ (2+6\sqrt3)+(2-6\sqrt3)x] + \{ (2+6\sqrt3)(2-6\sqrt3)\} ] \\\\\implies p(x) = k[ x^2 - 4x + \{ (2)^2-(6\sqrt3)^2\}] \\\\\implies p(x) = k[ x^2 -4x \{ 4-108\} ] \\\\\implies\boxed{\boxed{ p(x) = k[ x^2-4x-104] }}\)

This is the required answer !

Answer: 640,900,000.

Step-by-step explanation:
6.5 x 10^8 = 650,000,000.
9.1 x 10^6 = 9,100,000.

650,000,000 - 9,100,000 = 6,400,900.
===================================================================Hope this helped!
- bucketsarecool

To determine the inverse Laplace transforms of (S - 3)/(S^2 - 6S + 13), we need to find the corresponding time-domain function. We can do this by applying partial fraction decomposition and using the inverse Laplace transform table to obtain the inverse transform.

To start, we factor the denominator of the rational function S^2 - 6S + 13 as (S - 3)^2 + 4. The denominator can be rewritten as (S - 3 + 2i)(S - 3 - 2i). Next, we perform partial fraction decomposition and express the rational function as A/(S - 3 + 2i) + B/(S - 3 - 2i). Solving for A and B, we can find their respective values. Let's assume A = a + bi and B = c + di. By equating the numerators, we get (S - 3)(a + bi) + (S - 3)(c + di) = S - 3. Expanding and equating the real and imaginary parts, we can solve for a, b, c, and d. Once we have the partial fraction decomposition, we can use the inverse Laplace transform table to find the inverse Laplace transform of each term.

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Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

-6/3= -2

3/-6= -1/2 they are not equal. So false

-8*9= -72

9*-8= -72 They are equal. So true

hope this helps!

Answer:

They never break even.

Step-by-step explanation:

Number of days: x

Expenses for x days:

Fixed cost: $5000

Cost per day: $200

Cost for x days: 200x

Income for x days:

12 × $15 × x = 180x

Number of days: x

Total expenses = Total income

200x + 5000 = 180x

Just the daily expense of $200 on food and utilities is greater than the daily income of $180. Then there is the additional initial expense of $5,000, so they will never break even. They start by having an expense of $5,000, and each day they spend $20 more than they receive.

It will take 12.5 minutes by the printer to use all 100 sheets of paper as the function is p(t) = -8t + 100 where p is the number of sheets left after t minutes of printing.

A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). The property that every input is related to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets. Four broad categories can be used to classify different types of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

Here,

p(t)=-8t+100

Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function .When all the 100 sheets printed , then the number of sheets will left to print =0.

Substitute p(t)=0 in the given function, to find the value of t,

0=-8t+100

8t=100

t=12.5 minutes

The function is p(t) = -8t + 100, where p is the number of sheets left after t minutes of printing, and it will take the printer 12.5 minutes to use all 100 sheets of paper.

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Answer:

its A i think\

Step-by-step explanation:

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

Here a six sided die is rolling fairly

The sample space = { 1,2,3,4,5,6}

Sample space of the experiment is the all the possible outcomes of the experiment.

Here 1, 2, 3, 4, 5 and 6 are the random outcomes of the experiment

Hence, rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

The complete question is:

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6. Explain what random means in this context? Choose the correct answer below.

a. That if a 1 is rolled it that means that each other number was not rolled.

b. That the only possible outcomes are​ 1, 2,​ 3, 4,​ 5, and 6.

c. That each result will not be influenced by the previous result of the die roll.

d. That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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Compound amount = $8867.39

compound interest = $1867.39

EXPLANATION

Given:

Principal(p) = $7000 Rate(r) = 0.12 Time(t) = 2 n= 4

We can calculate the compound amount(A) using the formula below:

Substitute the values and evaluate.

Hence, the compound amount = $8867.39

We proceed to find the compound interest.

A = P + I

⇒ I = A - P

= 8867.39 - 7000

=1867. 39

Therefore, the compound interest = $1867.39

Answer:

r=d/2

38/2=19

Radius=19

C=pi*d

38* 3.14159265359=119.38

Circumference=119.38

Step-by-step explanation:

Hope this helps!

Mark me brianliest

The total debt-equity ratio is 0. 50. The correct answer is B.

A company's debt-to-equity ratio (D/E ratio) reveals how much debt it has in relation to its assets. It is calculated by dividing the total debt of a corporation by the total shareholder equity.

To calculate the total debt-equity ratio, we divide the total debt by the total equity.

Total equity = $183,000

Total assets = $275,000

Total debt = Total assets - Total equity

Total debt = $275,000 - $183,000

Total debt = $92,000

Debt-Equity Ratio = Total debt / Total equity

Debt-Equity Ratio = $92,000 / $183,000

Debt-Equity Ratio ≈ 0.5027

Rounding to two decimal places, the total debt-equity ratio is approximately 0.50.

Therefore, the correct option is b) 0.50.

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Answer:

5 ; 12 ; 13

Step-by-step explanation:

Let :

Shorter leg = x

Other leg = x + 7

Hypotenus = x + 8

Recall:

Hypotenus² = opposite² + adjacent²

(x+8)² = x² + (x+7)²

x² + 16x + 64 = x² + x² + 14x + 49

x² - 2x - 15 = 0

x² - 5x + 3x - 15 = 0

x(x - 5) +3(x - 5) = 0

(x + 3) = 0 ; x = - 3

(x - 5) = 0 ; x = 5

Side can't be negative ;

Hence,

x = shorter side = 5

Other side = x + 7 = 5 + 7 = 12

Hypotenus = x + 8 = 5 + 8 = 13

Answer:

$2 price per pound

2 is the constant of proportionality

Step-by-step explanation:

Price of Cherries = $2 per pound

what is the constant of proportionality

If y = total cost of buying x pounds of Cherries at $2 per pound

The equation below represent the situation

y = $2 * x

y = 2x

The constant of proportionality is 2

That is, the $2 price per pound

The length of each arc can be calculated using the formula:

Arc length = (θ/360) × 2πr

where θ represents the central angle in degrees, r represents the radius of the circle, and π is a constant approximately equal to 3.14159.

In this case, the given central angle is θ = 38° and the radius is r = 32 km. To find the length of the arc, we substitute these values into the formula:

Arc length = (38/360) × 2π × 32

Simplifying this expression, we have:

Arc length ≈ (0.1056) × (2 × 3.14159 × 32)

Arc length ≈ 0.1056 × 201.06176

Arc length ≈ 21.2304 km

Therefore, the length of each arc, rounded to the nearest tenth, is approximately 21.2 km.

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Spanish 45 and french 42.5. When attempting to solve a Venn diagram with three circles, it is best to start by entering the number of items that the three sets of data have in common.

When attempting to solve a Venn diagram with three circles, it is best to start by entering the number of items that the three sets of data have in common. After that, input how many items are still there in each pair of sets' overlapping zone.

The quantity of each set's leftover pieces should be entered. Lastly, locate any missing numbers using any known totals.

Using a Venn diagram to determine probabilities: The Venn diagram's subset's components should be identified. Figure out the subset's frequency. Work out the larger set's overall frequency.  

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The rejection of the null hypothesis in a hypothesis test that claims the mean gestation period for a fox is more than 48.9 weeks implies there is sufficient evidence to support the claim, indicating a statistically significant difference between the observed sample mean and the hypothesized mean.

If a hypothesis test is performed that rejects the null hypothesis that the mean gestation period for a fox is 48.9 weeks or less, it means that there is sufficient evidence to support the claim that the mean gestation period for a fox is more than 48.9 weeks.

The rejection of the null hypothesis implies that the observed sample mean is significantly different from the hypothesized mean, and this difference is unlikely to have occurred by chance alone. The statistical test used to evaluate the hypothesis would have produced a p-value less than the significance level, indicating that the evidence against the null hypothesis is strong.

Therefore, the scientist can conclude that there is evidence to support their claim that the mean gestation period for a fox is more than 48.9 weeks, and this finding could have important implications for understanding fox reproductive biology and management.

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The length of the rectangle is 6 meters longer than the width of the rectangle. Let's suppose the width is x meters. So, the length of the rectangle is (x + 6) meters.Area of rectangle is 28 square meters.Area of rectangle = length × width28 = (x + 6) × x.Solve for xx² + 6x - 28 = 0(x + 7)(x - 4) = 0x = -7 or 4

The negative value of x because it is not possible.So, the width of the rectangle is 4 meters.The length of the rectangle is (x + 6) meters= 4 + 6= 10 meters.The length of a rectangle is 6 meters longer than the width. If the area is 28 square meters, we need to find the dimensions of the rectangle. Let's suppose the width of the rectangle is x meters. We know that the length of the rectangle is 6 meters more than the width, so the length of the rectangle is (x + 6) meters.Area of a rectangle is the product of its length and width. So, the area of the rectangle is (x + 6) × x. We know that the area of the rectangle is 28 square meters. Therefore, we can write the following equation:28 = (x + 6) × x.To find the value of x, we need to solve this quadratic equation.28 = x² + 6x.Rearranging the terms, we get:

x² + 6x - 28 = 0

We can solve this equation by using the quadratic formula, but we will use the factoring method. We need to find two numbers whose product is -28 and whose sum is 6. These numbers are +7 and -4. Therefore, we can write:

x² + 7x - 4x - 28 = 0x(x + 7) - 4(x + 7) = 0(x + 7)(x - 4) = 0

Therefore, x + 7 = 0 or x - 4 = 0.If x + 7 = 0, then x = -7, which is not a valid solution because the width of the rectangle cannot be negative.If x - 4 = 0, then x = 4. Therefore, the width of the rectangle is 4 meters. The length of the rectangle is x + 6 = 4 + 6 = 10 meters. So, the dimensions of the rectangle are 4 meters by 10 meters.

Therefore, the width of the rectangle is 4 meters, and the length of the rectangle is 10 meters. The dimensions of the rectangle are 4 meters by 10 meters.

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Answer:

114p

Step-by-step explanation:

I did the math, I really hope it's correct

The cost to get exactly three bottles of lemonade using the offer will be \(190p\) .

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Normal price of bottle \(=76p\)

And,

Offer is buy one get one half price.

So,

According to the question,

Normal price of one bottle \(=76p\)

Half price of one bottle \(=\frac{76p}{2}=38p\)

So,

Price of three bottles  \(=76*2+38\)

                                    \(=190p\)

So, Price of three bottles is \(190p\) .

Hence, we can say that the cost to get exactly three bottles of lemonade using the offer will be \(190p\) .

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The value of 6⅔ ÷ 12 is 5/9

The mathematical “operation” refers to calculating a value using operands and a math operator.

Mathematical operations include; Addition subtraction, multiplication, division. This operations are used to define the relationship between two terms.

PEDMAS is used for orderly arrangements for the operation.

6²/3 ÷ 12

We first convert the mixed fraction into improper fraction.

= 20/3 × 1/12

= 20/36

divide through by 4, then we have

= 5/9

Therefore the value of 6⅔ ÷ 12 is 5/9

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Answer:

k = 24·√2

Step-by-step explanation:

Given that the angles of the triangle are 45° by 45 by 90°, we have;

The given right triangle = An isosceles right triangle by two angles being equal

The given angle of the right triangle = 90°

The given leg of the right triangle = 24

For an isosceles right triangle, both legs are equal, therefore;

The length of the other leg of the right triangle = 24

By Pythagoras theorem, the measure of the side opposite the 90° side, 'k', is given as follows;

k² = (One leg length)² + (The other leg length)²

∴ k² = 24² + 24² = 1152

k = √1152 = 24·√2 ≈ 33.94.

Answer:

acute angle

Step-by-step explanation:

An acute angle is less than 90 degrees.

Answer:

C. Acute

Step-by-step explanation:

There is no square so it's no a right.

It's not a straight because it's 180° which is a straight line.

It's not obtuse since it doesn't seem to be larger than 90°.