What is the length of the hypotenuse of a right triangle with leg lengths of 8 inches and 15 inches?
A. 13 inches

B. 17 inches

C. 21 inches

D.25 inches

Answers

Answer 1

Answer:

B.17 INCHES

Step-by-step explanation:

Answer 2

Answer:

the answer is B

Step-by-step explanation:

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Related Questions

An earthquake measuring 6.4 on the Richter scale struck Japan in July 2007, causing extensive damage. Earlier that year, a minor earthquake measuring 3.1 on the Richter scale was felt in parts of Pennsylvania. How many times more intense was the Japanese earthquake than the Pennsylvania earthquake? (Round your answer to the nearest whole number.)

Answers

Final answer:

The 6.4 magnitude earthquake in Japan was approximately 1995 times more intense than the 3.1 magnitude earthquake in Pennsylvania, when calculated using the logarithmic Richter scale.

Explanation:

To determine how many times more intense the Japanese earthquake was than the Pennsylvania earthquake, we need to understand how the Richter scale measures the intensity of earthquakes. The Richter scale is logarithmic, and an increase of one unit corresponds to a tenfold increase in the amount of energy released by an earthquake. To calculate the intensity difference, we need to use the formula:

Intensity ratio = 10(magnitude of larger earthquake - magnitude of smaller earthquake)

For the earthquakes in question:

Magnitude of Japanese earthquake = 6.4

Magnitude of Pennsylvania earthquake = 3.1

Thus, the intensity ratio is:

Intensity ratio = 10(6.4 - 3.1)

Intensity ratio = 103.3

Calculating this with a calculator gives us an intensity ratio of approximately 1995.26. Rounded to the nearest whole number, the Japanese earthquake was about 1995 times more intense than the Pennsylvania earthquake.

Given the conditional statement "If it is January, then it is winter in the United States," which is true?

A) The Converse Of The Conditional
B) The Inverse Of The Conditional
C)The Contropositive Of The Conditional
D) Not Here ...?

Answers

Final answer:

Given the conditional statement, 'If it is January, then it is winter in the United States.' The convese and inverse aren't always true, but the contrapositive is, therefore, the correct answer is C) The Contrapositive of the Conditional.

Explanation:

The given statement is 'If it is January, then it is winter in the United States.' In logic, this statement is termed as a conditional statement. Let's analyze the options provided:

The Converse of the Conditional: This would reverse the statement to 'If it is winter in the United States, then it is January.' This is not always true since winter lasts for three months: December, January, and February.The Inverse of the Conditional: This would negate both the original statement's hypothesis and conclusion, resulting in 'If it is not January, then it is not winter in the United States,' which is also not always true.The Contrapositive of the Conditional: This reverses and negates the statement, turning it into 'If it is not winter in the US, then it is not January.' This statement is true. If it's not winter (meaning it's spring, summer, or fall), it cannot be January.

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In one study it was found that the correlation coefficient between two variables is -0.93

Which statements is true?

There is a weak association between the variables
There is a weak association between the variables
There is a strong association between the variables
There is a strong association between the variables

Answers

strong association between

Answer: There is a strong association between the variables

Step-by-step explanation:

The correlation is a term use inn statistics to define the relationship between any two or more than two variable.

When the value of correlation coefficient lies between -1 to -0.5 or 0.5 to 1, then it means that there is strong association between the variables.When the value of correlation coefficient lies between -0.5 to -0.3 or 0.3 to 0.5, then it means that there is moderate association between the variables.When the value of correlation coefficient lies between -0.3 to -0.1 or 0.1 to 3, then it means that there is weak association between the variables.

Given : In one study it was found that the correlation coefficient between two variables is -0.93.

Since -1<-0.93< -0.5

It means, that There is a strong association between the variables

The length of a rectangle is 3 inches more than the width. the perimeter is 42 inches. find the length and width.

Answers

I hope this helps you

Which of the following are equal to the expression below?
square root of 40/2
A. square root of 10
B. 20
C. square root of 20
D. square root of 40/4

Answers

I hope this helps you

Alexander has 418 song on his mp3 player. he divides the songs into 11 equal groups. about how many songs are in each group

Answers

Alexander has 38songs in each group

use a finite sum to estimate the average value of f on the given interval by partitioning the interval into four subintervals of equal length and evaluating the f at the subinterval midpoints.

f(x)=x^4 on [0,2]

Answers

Four partitions = 0 - 0.5, 0.5 - 1, 1 - 1.5, 1.5 - 2
Midpoints = 0.25, 0.75, 1.25, 1.75
Required sum = 0.5(0.25^4 + 0.75^4 + 1.25^4 + 1.75^4)/(2 - 0) = 0.5(0.00390625 + 0.31640625 + 2.44140625 + 9.37890625)/2 = 0.25(12.140625) = 3.03515625

function is a relationship between inputs where each input is related to exactly one output.

The average value of the function f(x) on [0, 2] is 3.03515625.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = [tex]x^{4}[/tex] on [0, 2]

Partitioning the interval into four subintervals of equal length.

= 2-0 / 4 = 2/4 = 1/2 = 0.5

This means the four subintervals are:

[0, 0.5], [0.5, 1], [1, 1.5], and [1.5, 2].

Midpoints of each partitioned interval.

[0, 0.5] = 0.25

[0.5, 1] = 0.75

[1, 1.5] = 1.25

[1.5, 2] = 1.75

Now,

f(0.25) = [tex]0.25^{4}[/tex]

f(0.75) = [tex]0.75^{4}[/tex]

f(1.25) = [tex]1.25^{4}[/tex]

f(1.75) = [tex]1.75^{4}[/tex]

Now,

The average value of f(x) = [tex]x^{4}[/tex] on [0, 2].

= 1/2 [ ([tex]0.25^{4}[/tex] + [tex]0.75^{4}[/tex] + [tex]1.25^{4}[/tex]  + [tex]1.75^{4}[/tex])/(2 - 0)]

= 0.5 [ ([tex]0.25^{4}[/tex] + [tex]0.75^{4}[/tex] + [tex]1.25^{4}[/tex]  + [tex]1.75^{4}[/tex])/2 ]

= 3.03515625

Thus,

The average value of the function f(x) on [0, 2] is 3.03515625.

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simplify the expression 3x^2(x^2-4x-2)+(5x^3+7x^2+2x+11)

Answers

The answer to this is 3x^4 - 7x^3 + x^2 + 2x +11.

Which of the following equations correctly expresses the relation between vectors A⃗ ,
B⃗ , and C⃗ shown in the figure?


A) A⃗ +B⃗ +C⃗ =0
B) A⃗ =B⃗ +C⃗
C) B⃗ =A⃗ +C⃗
D) C⃗ =A⃗ +B⃗

Answers

C. Look at the arrows and follow the direction.
A) isnt answer because B would have to be in oposite direction. Sum of vectors is 0 if second one starts where first one ends and so on until last one ends when first started.

B) Is not correct

C) is correct. B starts where first starts and ends where last (in this case second) one ends.

D) is not correct


Find all solutions in the interval [0, 2π).
7 tan^3x - 21 tan x = 0

A) pi/3, 2pi/3, 4pi/3, 5pi/3
B) 0, pi/5, π, 6pi/5
C) 0, pi/3, 2pi/3, π, 4pi/3, 5pi/3
D) 0, pi/3, π, 4pi/3

Answers

Let tan x = a
7 tan^3 x - 21 tan x = 0 becomes
7a^3 - 21a = 0
7a(a^2 - 3) = 0
a = 0 or a^2 - 3 = 0
a = 0 or a^2 = 3
a = 0 or a = + or - √3

tan x = 0, tan x = √3, tan x = -√3
x = 0, pi, pi/3, 4pi/3, 2pi/3, 5pi/3

Robert buys 4 pounds of cauliflower at $0.85 a pound. He also buys 4 pounds of brussels sprouts. If he spends $6.40 on the vegetables, how much did the brussels sprouts cost per pound? A. $0.80 B. $0.75 C. $0.85 D. $0.76

Answers

$0.85 * 4 = $3.40

$6.40 - $3.40 = $300

Brussel sprouts per pound = $300 / 4
                                              = $0.75
The answer is b because he paid 3.40 for cauliflower which leaves 3 dollars left and 4 pounds divided by 3 dollars is .75 cents.

You roll two dice, what is the probability of rolling two even numbers?

Answers

The probability of rolling an even number on the first dice is 1/2(3/6)
The probability of rolling an even number on the first dice is also 1/2 (3/6)
So the probability of getting two even numbers on both dice is 1/2*1/2=1/4

Solve the equation algebraically.
e^(.05t)=3 ...?

Answers

t = (ln(3))/.5
ln(e^.05t)=ln(3)0.05t=ln(3)t=ln(3)/(0.05)

convert to an improper fraction, type your answer with the negative in the numerator.
-8 3/4

Answers

-8 3/4 = -35/4
...................................................
Final answer:

The mixed number -8 3/4 can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator, resulting in -29/4.

Explanation:

The mixed number given is -8 3/4. An improper fraction is one where the numerator (top number) is greater than the denominator (bottom number). To convert a mixed number to an improper fraction, we should multiply the whole number by the denominator of the fraction and then add the numerator. Here, this would look like (-8*4)+3 = -32 + 3 = -29. The denominator stays the same. So, -8 3/4 is equal to -29/4 in improper fraction form.

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In Jaden’s garden, there is a triangular patch of grass. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jaden plant the geranium?
in the center of the inscribed circle of the triangle
in the center of the circumscribed circle of the triangle
at the point of intersection of the angle bisectors of the triangle
at the point of intersection of an angle bisector and a perpendicular bisector of the triangle


Answers

Answer:

In the center of the circumscribed circle of the triangle

Step-by-step explanation:

This implies that he wish to plant a geranium in such a way that its position would be of equal distance to the vertices of the triangle.

To circumscribe a circle to the triangle means to construct or draw a circle outside the triangle. And the circle would touch the three vertices of the triangle externally. Thus, the center of the circle is equidistant to the vertices.

For Jade to plant a geranium in the patch at a point equidistant from all vertices of the triangle, he should plant it in the center of the circumscribed circle of the triangle.

Write all classifications that apply to the real number 2/3.

Answers

The number 2/3 is:
real
rational
complex
algebraic

Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride. Which function can be used to determine how much money he has left over after x rides?

A) f(x) = 1.25x + 64

B) f(x) = -16x + $80

C) f(x) = -1.25x + 64

D) f(x) = -1.25x - 64

Answers

The answer is f(x) = -1.25 + 64

x - number of rides

Let's go step by step:
He had 80$: f(x) = 80
He spends $4 to enter the fair: f(x) = 80 - 4
He spends $12 on food: f(x) = 80 - 4 - 12
Rides at the fair cost $1.25 per ride x: f(x) = 80 - 4 - 12 - 1.25x

f(x) = 80 - 4 - 12 - 1.25x
f(x) = 64 - 1.25x
f(x) = -1.25 + 64

how do i find what x equals for 7x-5=-5

Answers

7 (x) - 5 (-5) which equals to: 0

7x = 0 (⬅solve this if you divide [÷] both sides of the problem by "7")

Therefore, the value of "x" is: "0" (:

Which of the following points lie in the solution set to the following system of inequalities?

y > −3x + 3
y > x + 2

(2, −5)

(−2, 5)

(2, 5)

(−2, −5)

Answers

(2, 5) only


choose 3d 

Answer:

Hi!

The correct answer is (2,5).

Step-by-step explanation:

To find which ordered pair is in the solution set of the system of inequalities:

y > −3x + 3 y > x + 2

you have to replace the values into the system and both results have to be true.

For ordered pair (2,5) where x=2, and y=5.

y > −3x + 3  5 > -3(2) + 3 // replace the values5 > -6 + 35 > -3  is TRUE.

AND

y > x + 2 5 > 2 + 25 > 4 is TRUE.

Correct answer: (2,5)

What is the domain of the function f(x) = 21 - x?

Answers

(-infinite, infinite)
I'm sorry, I couldn't find the infinite symbols.

TRUE or FALSE. 6 1/3 percent is equal in fraction to 4/75

Answers

It is false that 6 1/3 is equal in fraction to 4/75.
When you calculate 6 1/3 percent, it is 0.063, whereas 4/75 is 0.053, so they are not equal. 

Which pair or pairs of polygons are congruent?

3 and 4
1 and 3
1, 3 and 4
2, 3 and 4
1, 2, 3 and 4

Answers

Pair 1 and 3 of polygons are seem to be congruent. So, B is right.

Answer: 1 and 3

Pair 1 is the mirror image of one another and it is shifted 1 unit up. so they are congruent

Pair 2 : the size of green image is increased when compared to the size of red image.

Pair 3: The red image is shifted up and right to get the green image. The size of the image are same. so they are congruent.

Pair 4: The size of the image differs.So they are not congruent.


The Census Bureau says that the 10 most common names in the United States are (in order) Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Out of curiosity, you look at the authors of the textbooks for your current courses. There are 9 authors in all. Would you be surprised if none of the names f these authors were among the 10 most common? (Assume that authors' names are independent and follow the same probability distribution as the names of all residents.)

Answers

The probability suggests a 28.7% chance that none of the 9 authors have names among the 10 most common.

In a probability context, the likelihood of encountering one of the 10 most common names among the authors of your textbooks can be estimated based on the fact that these names account for 9.6% of all U.S. residents. However, the probability distribution of authors' names may not precisely mirror that of the general population, as authorship is influenced by factors beyond name popularity.

Given that there are 9 authors, each with an independent chance of having a name among the top 10, the probability that none of them have a common name is [tex]0.904^{9}[/tex], assuming an even distribution. This is because

0.904 represents the proportion of names that are not in the top 10.

Calculating this probability results in approximately 0.287, or 28.7%. So, there is about a 28.7% chance that none of the authors have a name among the 10 most common.

In a brief summary, it wouldn't be overly surprising if none of the authors' names matched the 10 most common names given the probability, but it's not an unexpected outcome. Probability alone doesn't guarantee specific outcomes in small samples.

Inverse function y = x2 − 18x.

Answers

Final answer:

The question is about finding the inverse of the quadratic function y = x^2 - 18x. To find the inverse, swap x and y then solve for y, considering the function's restricted domain to ensure it's a function. Understanding transformations like scaling, reflecting, and translating is also crucial for interpreting and graphing functions.

Explanation:

The student is asking about how to find the inverse function of a given quadratic function y = x2
- 18x. To find the inverse, we need to swap the x and y variables and solve for y. The steps involve setting x = y2 - 18y and then applying the quadratic formula or completing the square to solve for y. It is important to note that not all functions have inverses that are also functions without restricting the domain, especially quadratics, which are not one-to-one. However, if we consider only the increasing or decreasing intervals separately, we can find a suitable inverse restricted to that part of the domain.

The critical points like x and y intercepts can help us to verify if we have found the correct inverse function. Additionally, understanding the effects of various transformations on the function can be useful in graphing and interpreting the inverse.

Regarding transformations of functions, the operations may include scaling, reflecting, and translating the graph. For instance, the function f(x) = 2x - 2 features a y-intercept at (0, 2) and would be transformed as follows for different operations:

f(2x) which shrinks the graph horizontally by a factor of half.f(-2x) which reflects the graph across the y-axis.f(-2(x+1)) which results in a horizontal shift to the left by one unit by adding 1 to the independent variable x.

Mikel traded Australian dollars for Thai baht at an exchange rate of 1 Australian dollar = 29.3225 Thai baht. He gave the exchanger a total of $1900 and was charged a flat fee of $40. Approximately how many Thai baht does Mikel have?

Answers

1900-40=1860
1860 x 29.3225 = 54539.85

Answer:

The answer is 54539.85 Thai baht.

Step-by-step explanation:

1 Australian dollar = 29.3225 Thai baht.

Mikel gave the exchanger a total of $1900 and was charged a flat fee of $40.

As he was charged a fee so we will subtract it from the original amount.

[tex]1900-40=1860[/tex] Australian dollars

So, this amount in Thai baht becomes:

[tex]1860\times29.3225=54539.85[/tex] Thai baht.

The answer is 54539.85 Thai baht.

Your class is learning how to tie knots.each student needs a peace of rope thatis 3/8 yards. how much do we need for 16 stdents

Answers

3/8 multiplied by 16
the answer is 6 
about 6 yards because

3/8 = .375
.375 × 16 = 6 yards

Sales on credit are immediately counted as cash receipts?

Answers

Nope. Not only as cash receipts but through the all kind of transections... like by cheque, cash, digital means (Credit cards, debit cards, net-banking).

Hope this helps!

The correct answer to this open question is the following.

Sales on credit are not immediately counted as cash receipts.

When a good is sold and people pay for it with cash, that is counted as cash receipts. Other methods don't. If the product is sold on credit, the store is not receiving any cash at all. It is receiving a promise of pay that has to be payable by the credit institution or the bank.

Factor the polynomial. 54c 3d 4 + 9c 4d 2 A. 9c 3d 2(d 2 + 6c) B. 9c 3d 2(6d 2 + c) C. 9c 4d 2(d 2 + 6) D. 9c 4d 2(6d 2 + 1)

Answers

54c^3d^4 + 9c^4d^2
= 9c^3d^2 (6d^2 + c)

answer is B. 9c^3d^2 (6d^2 + c)
The ANWSER is b I hope I helped u

use benchmarks to estimate 2.81+3.73

Answers

The benchmarks are:  0,  0.25,  0.50,  0.75  and 1.
   2. 81   →  2.75
+
   3.73    →  3.75
------------
2.75 + 3.75 =  6.50

The minute hand of a clock is 9.5cm long. how far will the tip of the hand travel in one day

Answers

24 hours, so 24 rorations

find teh circumference
c=2pir
c=2pi9.5
c=19pi

24 hours
19pi times 24=456pi cm per day aprox
1432.565952cm
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