Which of the following statements is false?
A)The product of two rational numbers is always irrational.
B)The sum of a rational number and an irrational number is always irrational.
C)The product of a nonzero rational number and an irrational number is always irrational.
D)The product of two irrational numbers is either rational or irrational.
Answer:
A.
Step-by-step explanation:
So if you do √25*√49 is 13.2287565553
which is irrational but if you do 53 times 53 you get 2809 which is rational so you its Not always irrational
simplify the expression 3x^2(x^2-4x-2)+(5x^3+7x^2+2x+11)
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
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
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
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.
The equation of line WX is y = −2x − 5. Write an equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)
y = 1 over 2x + 3 over 2
y = negative 1 over 2x + 3 over 2
y = 1 over 2x − 3 over 2
y = − 1 over 2x − 3 over 2
What is the average rate of change of the function below on the interval from x = 0 to x = 2?
f(x)=250(0.5)x
Question 8 options:
A.-93.75
B.62.5
C.0
D.-0.25
Inverse function y = x2 − 18x.
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.Alexander has 418 song on his mp3 player. he divides the songs into 11 equal groups. about how many songs are in each group
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?
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.
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)
What is the domain of the function f(x) = 21 - x?
if y+7=21, what is the value of y?
Ok so if the problem is y+7=21, what the number that multiplies by 7 and you get 21. And your answer should be the answer after you figured out the problem.
convert to an improper fraction, type your answer with the negative in the numerator.
-8 3/4
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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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)
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 + 2you 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)
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
Find a polynomial function f(n) such that f(1), f(2), ... , f(8) is the following sequence.2, 8, 14, 20, 26, 32, 38, 44
what is the greatest common factor of 34 and 51
The Greatest Common Factor of 34 and 51 is 17.
What is Greatest Common Factor?The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)
Given:
We have to find the greatest common factor of 15 and 21 .
So factorizing each number
34 = 2 x 17
51 = 3 x 17
So, the Greatest Common Factor is 17.
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The greatest common factor of 34 and 51 is 17. It is the largest number that divides both numbers without a remainder, and it is found by listing the factors of each number and identifying the greatest one that they have in common.
The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the GCF of 34 and 51, we list the factors of each number:
Factors of 34: 1, 2, 17, 34
Factors of 51: 1, 3, 17, 51
As we can see, the common factors of 34 and 51 are 1 and 17.
Therefore, the greatest common factor of 34 and 51 is 17.
The length of a rectangle is 3 inches more than the width. the perimeter is 42 inches. find the length and width.
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
TRUE or FALSE. 6 1/3 percent is equal in fraction to 4/75
Solve the equation algebraically.
e^(.05t)=3 ...?
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.)
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.
*NEED HELP??!!!
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
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
Sales on credit are immediately counted as cash receipts?
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.
Write all classifications that apply to the real number 2/3.
how do i find what x equals for 7x-5=-5
You roll two dice, what is the probability of rolling two even numbers?
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
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.
what is a expression that represents the sum of 7 and x