the longest side of a right triangle

The rate of each plane is,

First plane = 110 mph

Second plane = 15 mph

Let x = rate of the slower plane (First plane!)

x + 45 = rate of the faster plane (Second plane!)

The planes fly for 3 hours, where Distance = RT

Distance between the planes = SUM of the distances.

RT + RT= 795 miles

3x + 3(x + 45) = 795

3x + 3x + 135 = 795

6x + 135 = 795

6x = 795 - 135

6x = 660

x = 110 mph First plane

And, x + 45 = 110 + 45 = 15 mph Second plane.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ4

The appropriate test for the researcher’s hypothesis is: D)A one-sample t-test for a population mean.

A one-sample t-test is a kind of test that is used to determine the level of difference between the population mean of an unknown variable and a given or known value.

In the given question, the goal is to determine the difference between the sample mean of the lengths and the mean of the salmon population. To attain this goal, the researcher should use the one-sample T-test. The number of the population, the standard deviation, the sample mean and hypothesized mean are all markers for this test.

Learn more about the one-sample T-test here:

https://brainly.com/question/26717173

#SPJ1

Answer:

10(2y+2)= 10.2y+10.2

20y+20-y

2(8y-8)=2.8y-2.8

20y+20-y=16y-16

20y-16y-y=-20-16

3y=-36

36/3y=?

y=-12

Step-by-step explanation:

Answer to  10 (2y + 2) - y = 2 (8y - 8)

is y=-12

Therefore , the solution of the given problem of expressions comes out to be (a²b⁴)(ab⁻²) = a³b² with positive exponents.

It is preferable to use shifting integer numbers that can be increasing, reducing, or blocking rather than approximations generated at random. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. A declaration of truth equation may include the justifications, components, and mathematical comments for strategies like extra disapproval, manufacture, and mixture.

Here,

The following exponent properties can be used to condense the equation (a 2 b 4) (ab -2) and express it using only positive exponents:

(a²b⁴)(ab⁻²) = a²⁺¹ b⁴⁻² = a³b²

a³b² is the simplified form of the equation (a²b⁴)(ab⁻²) with positive exponents.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

Learn more about probability

https://brainly.com/question/24756209

#SPJ4

Answer:

Given a relationship between two quantities, determine whether the relationship is a function. ... If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

Step-by-step explanation:

hope it helps

Answer:

you will get no solutions

Answer:

No Solution

Step-by-step explanation:

Answer:

x=142

Step-by-step explanation:

so x and 142 equal eachother because they are alternate exterior angles!

set up the equation so we can solve for x

x=142

Answer:

Step-by-step explanation:

Alternate exterior angles are equal.

So, x = 142

Answer:

A.) Angle A Congruent to Angle D

C.) The scale factor of DE/AB is 2

Step-by-step explanation:

Image shows and supports those.

Answer

$79.45

Use the simple interest formula

A= P(1+rt)

A = 70(1+0.045×3)

And you solve, which gives you 79.45

Answer:

$79.45

Step-by-step explanation:

To find the total amount of money in her account, we can use the following formula:

\(\boxed {A = P(1 + rt)}\)

where:

A = final amount (?)

P = principal (original) amount ($70.00)

r = interest rate (4.5% = 0.045)

t = time (3 years).

Substituting the values into the formula:

\(A = 70(1 + 0.045 \times 3)\)

   = \(70(1.135)\)

   = $79.45

∴ She has $79.45 in her savings account at the end of three years.

Answer:

The amount of giftwrap needed to cover a box that is 5in x 7in x 3in is 210 square inches.

The amount of giftwrap that LeAnn would need to completely wrap the box is 142 square inches. This is calculated using the formula for the surface area of a rectangular box.

LeAnn is trying to find the total area to be covered by giftwrap, which can be calculated using the formula for the surface area of a rectangular box. The formula is 2*(lw + lh + wh), where l is length, w is width and h is height. Given the dimensions of the box as 5in x 7in x 3in, we plug these values into the formula which gives: 2*((5*7) + (5*3) + (7*3)) = 2*(35 + 15 + 21) = 2 * 71 = 142 square inches. Therefore, LeAnn will need 142 square inches of giftwrap to cover the box entirely.

https://brainly.com/question/32745477

#SPJ2

Answer:

5

Step-by-step explanation:

The whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers. Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B).

It is given that the ratio is,

(10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹)

We have to apply the arithmetic operation for the given ratio in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

\(=\frac{10^{2000}+10^{2002}}{10^{2001}+10^{2001}} \\\\ =\frac{10^{2000}(1+100)}{10^{2000}(10+10)} \\\\ =\frac{101}{20} \\\\=5\)

Thus, the whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

To learn more about the simple random sample

https://brainly.com/question/30391235

#SPJ11

Without changing the value, Marcus can add 3 positive counters and 3 negative counters. Option d is correct.

To determine the difference -8 - 3 (+3), Marcus wants to use a model with counters. He starts with 8 negative counters, and in order to add 3 positive counters without changing the value, he can add 3 positive counters and 3 negative counters.

By adding 3 positive counters, he is increasing the value by 3. However, since he wants to maintain the same value, he also needs to add 3 negative counters. This ensures that the net change in value remains zero.

So, by adding 3 positive counters and 3 negative counters to the model, Marcus can represent the difference -8 - 3 (+3) without changing the overall value. Therefore, d is correct.

Learn more about positive counters https://brainly.com/question/17272070

#SPJ11

Answer:

m=-2/3

Step-by-step explanation:

two points from graph:(-1,1) and (-4,3)

m=y2-y1/x2-x1

m=3-1/-4-(-1)

m=2/-3

m=-2/3

(a) The curve defined by the parametric equations x = t^2, y = -1/4t (t > 0) represents a parabolic trajectory, the point of intersection between the curve and the hyperbola is (4∛2, -1/(4∛2)).

To find the points on the curve where the tangent line is parallel to the line y = x, we need to determine when the slope of the tangent line is equal to 1.

The slope of the tangent line is given by dy/dx. Using the chain rule, we can calculate dy/dt and dx/dt as follows:

dy/dt = d/dt(-1/4t) = -1/4

dx/dt = d/dt(\(t^2\)) = 2t

To find when the slope is equal to 1, we equate dy/dt and dx/dt:

-1/4 = 2t

t = -1/8

However, since t > 0 in this case, there are no points on the curve where the tangent line is parallel to y = x.

(b) To determine the points on the curve where it intersects the hyperbola xy = 1, we can substitute the parametric equations into the equation of the hyperbola:

\((t^2)(-1/4t) = 1 \\-1/4t^3 = 1\\t^3 = -4\\\)

Taking the cube root of both sides, we find that t = -∛4. Substituting this value back into the parametric equations, we get:

x = (-∛4)^2 = 4∛2

y = -1/(4∛2)

Learn more about parametric equations here:

https://brainly.com/question/29275326

#SPJ11

\(\sf{ANSWER}\)

Hope it helps^^

The probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

To find the probability that a random student will be taking both Algebra 2 and Chemistry, we need to use the concept of conditional probability.

Let's denote the event of taking Algebra 2 as A and the event of taking Chemistry as C. We are given that P(A) = 0.08 (8% probability of taking Algebra 2) and P(C|A) = 0.17 (17% probability of taking Chemistry given that the student is taking Algebra 2).

The probability of taking both Algebra 2 and Chemistry can be calculated using the formula for conditional probability:

P(A and C) = P(C|A) * P(A)

Substituting the given values:

P(A and C) = 0.17 * 0.08

P(A and C) = 0.0136

Therefore, the probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

It is important to note that the probability of taking both Algebra 2 and Chemistry is determined by the intersection of the two events, which means students who are taking both courses. In this case, the probability is relatively low, as it depends on the individual probabilities of each course and the conditional probability given that a student is taking Algebra 2.

For more such questions on probability visit:

https://brainly.com/question/25839839

#SPJ8

If the standard deviation is 2 then the standard error of the mean is 0.8165   .

In the question ,

it is given that ,

the sample size of students taken from the classroom is(n) = 6 students ;

the mean height of students is = 70 inches ;

the standard deviation(S.D.) height of students is = 2 inches ;

the standard error of mean can be calculated using formula ;

S.E. = (S.D.)/√n

substituting the value of S.D. and sample size ,

we get ,

S.E. = 2/√6

= 0.816496

≈ 0.8165

Therefore , the Standard Error of the mean is 0.8165   .

Learn more about Standard Error here

https://brainly.com/question/2501218

#SPJ4

Answer:

A(2) = 33

A(5) = 77

Step-by-step explanation:

n is the counter of the terms.

A(n) is the nth term.

A(1) is the first term.

A(2) is the second term.

etc

To find the 2nd term, let n = 2. Then you have

A(2) = 22 + (2 - 1)11

A(2) = 22 + (1)11

A(2) = 22 + 11

A(2) = 33

To find the 5th term, let n = 5. Then you have

A(5) = 22 + (5 - 1)11

A(5) = 22 + (5)11

A(5) = 22 + 55

A(5) = 77

Answer:

A(2) = 33

A(5) = 77

Answer:

$8,580,000 (rounded) = $9,000,000

Step-by-step explanation:

Keep in mind, 2007 is four years after 2003.

So, 8(%) • 4 = 32(%)

Over the course of 4 years, the companies profits increased by a total of 32 percent.

(*Write 6.5m in standard form)

6,500,000 + 32% = $8,580,000

8,580,000 (rounded up) = 9,000,000

In a case whereby Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles Adam traveled a distance of about 335 miles.

The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction.

Speed = Distance/ time

speed =72.4 miles

time=4.62 hours

Distance =speed * time

= 72.4 *4.62

Distance = 334.488 miles

Read more about speed

https://brainly.com/question/13590103

#SPJ1

complete question;

Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles. Rounding decimals to the nearest whole number, Adam traveled a distance of about miles.

Answer:

The 9th term of the sequence is:

Step-by-step explanation:

Given the sequence

1, 4/3,16/9

computing the ratios of all the adjacent terms

\(\frac{\frac{4}{3}}{1}=\frac{4}{3},\:\quad \frac{\frac{16}{9}}{\frac{4}{3}}=\frac{4}{3}\)

The difference between all the adjacent terms is the same and equal to

\(r=\frac{4}{3}\)

A geometric sequence has a constant ratio 'r' and is defined by

\(a_n=a_1\cdot r^{n-1}\)

As

so substituting \(a_1=1\) and \(r=\frac{4}{3}\) in the nth term of the equation

\(a_n=a_1\cdot r^{n-1}\)

\(a_n=\left(\frac{4}{3}\right)^{n-1}\)

Now, substitute n = 9 to determine the 9th term

\(a_9=\left(\frac{4}{3}\right)^{9-1}\)

\(a_9=\left(\frac{4}{3}\right)^8\)

\(a_9=\frac{4^8}{3^8}\)

\(a_9=\frac{65536}{6561}\)

Therefore, the 9th term of the sequence is:

9514 1404 393

Answer:

  $3.50

Step-by-step explanation:

If c represents the cost of one comic book, the transaction can be written as the equation ...

  6c = $21

Dividing by 6, we get ...

  c = $21/6 = $3.50

The cost for 1 comic book was $3.50.

_____

You know that the total cost of a transaction is the sum of the costs of each part. When all the parts have the same value, we can multiply the cost of one part by the number of parts.

Answer:

3.50

Step-by-step explanation:

A. The lowest positive root of the function f(x) = 7sin(x)e^(-x) - 1 is x ≈ 0.234.

B. The terms \(82x90 x²\)and \(0x^2\) appear to be incorrect or incomplete, since there is typographical error in the equation.

To find the root using the Newton-Raphson method, we start with an initial guess for the root, which in this case is xi = 0.3. Then, we calculate the function value and its derivative at this point. In this case,

\(f(x) = 7sin(x)e^(-x) - 1\)

Using the derivative, we can determine the slope of the function at xi and find the next approximation for the root using the formula:

\(x(i+1) = xi - f(xi)/f'(xi)\)

We repeat this process for three iterations, plugging in the current approximation xi into the formula to get the next approximation x(i+1). After three iterations, we obtain x ≈ 0.234 as the lowest positive root of the given function.

B. Regarding the function \(f(x) = -25 + 82x^9 + 0x^2 + 44x^3 - 8x^4 + 0.7x^5\), there seems to be some typographical errors in the equation. The terms \(82x90 x²\)and \(0x^2\) appear to be incorrect or incomplete.

Please double-check the equation for any mistakes or missing terms and provide the corrected version. With the accurate equation, we can apply appropriate numerical methods such as the Newton-Raphson method to determine the real root of the function.

To learn more about typographical error click here

brainly.com/question/14470831

#SPJ11

Build-borrow-or-buy.

The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.

To know more about costs visit :

https://brainly.com/question/30045916

#SPJ11

(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.

the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.

the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.


The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.

the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.

To learn more about Second: visit

https://brainly.com/question/24237610

#SPJ11

A dotted shape is a type of shape that can be suggested by dots or dashes that don't connect. A shape that can be suggested by dots or dashes that do not connect is known as a Dotted shape.

The term "dotted shape" refers to the shapes that are created by drawing dots or dashes that don't connect. The idea behind this technique is to suggest the shape of an object without drawing its entire outline.The dotted shape technique is commonly used in drawing and graphic design to add a decorative touch to a design. It is also used in children's books and educational materials to teach children about shapes and how to draw them.

There are different types of dotted shapes, including circles, squares, triangles, and rectangles, to name a few. The dotted shape technique can be used to create a variety of designs, from simple to complex, depending on the desired effect.

To know more about shape visit :-

https://brainly.com/question/21335077

#SPJ11

Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

To know more about total distance refer here

https://brainly.com/question/6516113#

#SPJ11

Answer:

all you need to do is to multiple