Estimate the height of the tree 50 years after it was planted. How did you
make your prediction?

7) 13 + -2 = 13 + (-2) = 13 - 2 = 11

8) -12 - 8 = - (12 + 8) = - (20) = -20

Answer:

y=4x+17

Step-by-step explanation:

y-b=m(x-a)

y-5=4(x--3)

y-5=4(x+3)

y-5=4x+12

y=4x+17

The probability that exactly one of the bridges will collapse in the next year in Dystopia county is 0.2988 (rounded to four decimal places).

To calculate the probability of exactly one bridge collapsing, we need to consider the probabilities of each bridge collapsing and not collapsing. Let E, Y, and A represent the events of the Elder, Younger, and Ancient bridges collapsing, respectively.

The probability of exactly one bridge collapsing can be found by considering three cases:

Only the Elder bridge collapses: P(E) * P(Y') * P(A') = 0.18 * (1 - 0.06) * (1 - 0.28) = 0.18 * 0.94 * 0.72.

Only the Younger bridge collapses: P(Y) * P(E') * P(A') = 0.06 * (1 - 0.18) * (1 - 0.28) = 0.06 * 0.82 * 0.72.

Only the Ancient bridge collapses: P(A) * P(E') * P(Y') = 0.28 * (1 - 0.18) * (1 - 0.06) = 0.28 * 0.82 * 0.94.

Summing up the probabilities from these three cases gives the total probability of exactly one bridge collapsing: 0.18 * 0.94 * 0.72 + 0.06 * 0.82 * 0.72 + 0.28 * 0.82 * 0.94 ≈ 0.2988.

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Answer:

A.

Step-by-step explanation:

The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

944 + 4x = 1180                

Subtract 944 from both sides.

4x = 1180 - 944

4x = 236      

Divide by 4

x = 236/4

x = 59 weeks

Answer:

\( - 5.5 \times 0.021 = - 0.1155\)

Answer:

-0.1155

Step-by-step explanation:

You just need to calculate it and that's it.

Theorem 7.1.1 states that if the Laplace transform of a function f(t) is F(s), then the Laplace transform of t^n*f(t) is (-1)^n d^n/ds^n F(s).

Using this theorem, we have:

L{t^4f(t)} = (-1)^4 d^4/ds^4 L{f(t)}

= d^4/ds^4 L{3t^4}

= d^4/ds^4 (3/s^5) [Using L{t^n} = n!/s^(n+1)]

= 34!/s^9

= 72/s^9

Therefore, P(0) = L{t^4*f(t)}|s=0 = 72/0^9 = infinity (since division by zero is undefined).

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The correct answer is x = 2

(x + 1 < 4) ∩ (x-8>-7)

Make x the subject in each case:

(x<4-1)(x>-7+8)

        (x<3)∩(x>1)

If x<3, then x could be 2, 1, -1, etc.

If x>1, then x could be 2, 3, 4, etc.

Thus (x<3)∩(x>1) = 2

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Answer:

x = 2

Step-by-step explanation:

Hello!

We are looking at the intersection of two sets, or common values found between two sets of data.

We can solve for x on each side and find any common values between.

As you can see, the intersection occurs at the common values. The only value that is common between the two sets is 2.

Therefore, the intersection of these sets is 2.

Answer:91 coins

Step-by-step explanation:You add them all together the numbers which are 58 and 21 and 12.It gives you 91  coins in total.

Hope it helps :)

Answer:

Step-by-step explanation: 13 is a prime number because Its only divisors are 1 and 13.

13 is a prime number because It can only be divided by 1 and 13.

What are prime numbers?

Prime numbers are natural numbers that are divisible by only 1 and the number itself. In other words, prime numbers are positive integers greater than 1 with exactly two factors, 1 and the number itself. Some of the prime numbers include 2, 3, 5, 7, 11, 13, etc. Always remember that 1 is neither prime nor composite. Also, we can say that except for 1, the remaining numbers are classified as prime and composite numbers. All prime numbers are odd numbers except 2, 2 is the smallest prime number and is the only even prime number.

First Ten Prime Numbers

The first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

Now,

As 13 has only two factors, 1 and 13.

Hence,

          It is a prime number.

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Answer:

5/6

Step-by-step explanation:

Answer:

It is 5/6

Step-by-step explanation:

Hope that helped :)

Answer:

Slope- intercept form   y = 200 x + 500

Step-by-step explanation:

Given that the equation

       200x - y + 500 = 0

where   y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours

The slope-intercept form

                y = m x +C

Given equation  200x - y + 500 = 0

                          200 x + 500 =y

                       y = 200 x + 500

Slope of the equation m = 200 and y-intercept 'C' = 500

If Maris is n years old and father is 5 years more than twice her age, then her father is 2n + 5 old

We know that Maris's age is n. Let's start by thinking about her father's age in terms of Maris's age.

We're told that Mariz's father is "5 years more than twice her age". So, we can start with twice Maris's age, which is 2n, and then add 5 to get the father's age.

In other words,

Father's age = 2 × Maris's age + 5

We can simplify this expression by substituting n for Maris's age

Father's age = 2n + 5

Therefore,  Maris's father is 2n + 5 years old.

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Answer:

105

Step-by-step explanation:

by sss congruency we conclude that they are similar.

29+46=75

180-75=105

Answer:

51

Step-by-step explanation:

$3 time 7 = $21

$5 time 6 =30

21+30 = $51

Answer:

30 inches

Step-by-step explanation:

The circumference of a circle (the length around it) is equal to pi times the diameter.

C = πd

The circumference is 94.2 inches, so the diameter is:

94.2 in = πd

d ≈ 30 in

The solution to maria’s equation \(\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8\) by using the properties of the logarithm is 5/4.

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that

\(\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8\)

Using properties of a logarithm, we get

\(\rm log x + log y=logxy\)

\(\rm log[\frac{x}{2} \times\frac{20}{x^{2} }] = log8\\\rm log[\frac{10}{x}] = log8\)

on comparing

10/x = 8

x = 10/8

x = 5/4

Hence, the solution to maria’s equation \(\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8\) is 5/4.

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Answer:

C

Step-by-step explanation:

C) 5/4

total shaded regions/total regions = 3/12.

What is a circle?

In geometry, a circle is a closed two-dimensional figure in which all points on the boundary are equidistant from a single point called the center of the circle. The distance from the center to any point on the circle is called the radius of the circle.

Circles are a fundamental concept in geometry and are used extensively in many branches of mathematics, science, and engineering. Some key features of a circle include:

Center: The fixed point within the circle that all points on the boundary are equidistant.

Radius: The distance from the center of the circle to any point on the boundary of the circle.

Diameter: The distance across the circle, passing through the center and ending on two points on the boundary.

Circumference: The distance around the boundary of the circle, which is equal to 2π times the radius.

Area: The amount of space enclosed by the circle, which is equal to π times the radius squared.

A circle can be defined by its center point and radius or by any three non-collinear points on its circumference. The circumference of a circle.

The answer is 3/12 because the total shaded regions are 3 and unshaded regions are 12.

 Therefore,  total shaded regions/total regions = 3/12.

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Answer: think it would be 60.9 correct me if I'm wrong

Answer:

\(\frac{2}{9}\)

Step-by-step explanation:

1. \(\frac{2}{3} -\frac{4}{9}\)

2. Multiply \(\frac{2}{3}\) by \(\frac{3}{3}\) to get a denominator equal to \(\frac{4}{9}\)

3. \(\frac{2}{3} *\frac{3}{3} =\frac{6}{9}\)

4. \(\frac{6}{9}-\frac{4}{9} =\frac{2}{9}\)

The expression is:  \(\frac{2}{3}*\frac{3}{3} -\frac{4}{9}\)

Answer:

6/9-4/9

Step-by-step explanation:

ez pls mark branliest

I think you meant to write

(2 × 10⁶) × 0.00009

First, convert 0.00009 to scientific notation:

0.00009 = 9 × 10 ⁻⁵

Then

(2 × 10⁶) × 0.00009 = (2 × 10⁶) × (9 × 10 ⁻⁵)

… = (2 × 9) × (10⁶ × 10 ⁻⁵)

… = 18 × 10¹

… = 1.8 × 10²

The range of the graph is the set of output values, and the range is (d) (-infinity,infinity)

From the graph in the complete question, we can see that the output values (i.e. the y values) extend indefinitely on both sides of the graph

This means that the range of the graph is the set of all real numbers.

This in other words means that (-infinity,infinity)

Hence, the range of the graph is (d) (-infinity,infinity)

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Answer:

3x + 7

Step-by-step explanation:

= k(x) - h(x)

= 4x + 2 - (x - 5 )

= 4x + 2 - x + 5

= 4x - x + 2 + 5

= 3x + 7

The original wordle has 10657 allowed guess words. Of which 3901 words have at least one letter repeat. In other words, the probability of the word having at least one letter repeat is 36.6%  749 solution words have at least one letter repeat out of a total of 2315 solution words. the number of possible 5-tuples of 26 letters that have at least one letter repeat is "3987776."

In other words, the probability of a solution word having at least one letter repeat is 32.3%To find the number of possible 5-tuples of 26 letters with at least one letter repeat

Step 1: We will find out the number of 5-tuples that do not have any repeated lettersFor the first letter, we have 26 options. As there can be no repetitions, we have 25 options for the second letter. Similarly, for the third, fourth, and fifth letter we have 24, 23, and 22 options respectively.Therefore, the number of 5-tuples that do not have any repeated letters is given by26 × 25 × 24 × 23 × 22 = 7893600

Step 2: We will find out the number of 5-tuples that have at least one repeated letterTotal number of 5-tuples = 26^5Using the formula for finding the number of 5-tuples without any repetition, we can find the number of 5-tuples that have no repetition:26 × 25 × 24 × 23 × 22 = 7893600 Therefore, the number of 5-tuples that have at least one repeated letter is given by the total number of 5-tuples – the number of 5-tuples that have no repetitions= 26^5 - 7893600= 11881376 - 7893600= 3987776Therefore, the number of possible 5-tuples of 26 letters that have at least one letter repeat is 3987776.

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Answer:

66

Step-by-step explanation:

\(\binom{12}{2}=\frac{12!}{10!21}=\frac{12 \cdot 11}{2}=66\)

The interval does not include the null hypothesis value, then the results are significant.

When calculating a confidence interval for the difference between two means or proportions, the significance level must be considered to determine whether the results suggest a significant difference.What is a confidence interval?A confidence interval (CI) is an interval estimate that quantifies the uncertainty associated with the unknown population parameter. Confidence intervals are used to express how confident we are about the accuracy of an estimated population parameter.The significance level is the level at which the results of a statistical test are considered statistically significant. The significance level is frequently represented as alpha, and its value is usually set to 0.05 (5%) in most statistical analyses. This implies that there is a 5% chance that the statistical test findings will indicate a significant difference when, in fact, there is no such difference. The significance level is the probability of rejecting a true null hypothesis.Therefore, in order to determine whether or not the results of a confidence interval for the difference between two means or proportions indicate a significant difference, we must compare the interval with the significance level (alpha) that was established before the test. If the interval contains the null hypothesis value (usually 0), then the results are not significant. If the interval does not include the null hypothesis value, then the results are significant.

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Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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