what number produces an irrational number when multiplied by 1/5
Final answer:
To produce an irrational number by multiplying by 1/5, the other number must be irrational, such as √2.
Explanation:
The student is asking which number, when multiplied by 1/5, produces an irrational number. To produce an irrational number by multiplication, the other number must itself be irrational. Because rational numbers multiplied by rational numbers yield rational results. A classic example of an irrational number is √2, which, when multiplied by 1/5, gives 1/5√2 or √2/5, both of which are irrational.
Can someone help and explain this to me please...?
Answer:
[j, k] →[9, 5]
[g, h] → [4, 2]
[x, y] → [−4, −4]
Step-by-step explanation:
{4j - 2k = 26
{5j - 2k = 35
−⅘[5j - 2k = 35]
{4j - 2k = 26
{−4j + 1⅗k = −28 >> NEW EQUATION
________________
−⅖k = −2
_____ ___
−⅖ −⅖
k = 5 [Plug this back into both equations above to get the j-value of 9]; 9 = j
__________________________________________________________
{6g + 8h = 40
{−6g + 2h = −20
________________
10h = 20
h = 2 [Plug this back into both equations above to get the g-value of 4]; 4 = g
__________________________________________________________
{4x - 9y = 20
{2x - 6y = 16
−½[4x - 9y = 20]
{−2x + 4½y = −10 >> NEW EQUATION
{2x - 6y = 16
_________________
−1½y = 6
______ __
−1½ −1½
y = −4 [Plug this back into both equations above to get the x-value of −4]; −4 = x
** Tip: Keep using the Elimination Method until you really have to use the Substitution Method. Use the Substitution Method only when one variable is given to you in one of or both equations, meaning that at least one of the equations has to be in Slope-Intercept Form [y = mx + b].
I am joyous to assist you anytime.
The length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 36 m , find its area.
The process involves setting up an equation using the given perimeter and the relation between length and width, solving for width, then calculating length and subsequently the rectangle's area, resulting in 77 square meters.
The question involves finding the area of a rectangle given the relationship between its length and width, and its perimeter. First, let's represent the width as w meters. Therefore, the length will be w + 4 meters, since the length is 4 meters longer than the width. The perimeter of a rectangle is calculated as 2(length + width). Given the perimeter is 36 meters, we can set up the equation: 2(w + w + 4) = 36.
Simplifying this equation gives 2(2w + 4) = 36, and further simplification results in 4w + 8 = 36. Solving for w, we subtract 8 from both sides getting 4w = 28, and divide by 4 to find w = 7 meters. The length, being 4 meters longer, is 11 meters.
Finally, to find the area of the rectangle, we multiply the length by the width: Area = length × width = 11m × 7m = 77 square meters. Therefore, the area of the rectangle is 77 square meters.
BRAINLIESTTT ASAP!
The function f(x) = –x^2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)
Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)
(1.3t3 + 0.4t2 – 24t) – (0.6t2 + 8 – 18t)
What is the additive inverse of the polynomial being subtracted?
Answer:
The first one is B then the second is B and the third question is D
Step-by-step explanation:
Yuma needs a singer. Singer A is offering her services for an initial $55 in addition to $20 per hour. Singer B is offering his services for an initial $85 in addition to $5 per hour. When will the two singers charge the same amount of money? The two singers will charge the same amount of money after :blank: hours.What is the answer to the blank.
helppppppppppppppppppppppppppppppppp
Adjacent angles whose exterior sides are opposite rays are
Answer:
Adjacent angles whose exterior sides are opposite rays are "supplementary"
Step-by-step explanation: Theorem 3-2 states this fact
about how much air would fill a ball with a radius of 16cm
Is it possible for a composite number to have more than one prime factorization? Yes. I'm I right @dirtydan667
Can you also explain how you solve it so i can do by myself:)
What is the sum of the first eight terms of the series?
(−500)+(−100)+(−20)+(−4)+(−0.8)+...
Round the answer to two decimal places if necessary.
−996.09
−625
−624.99
−623
The correct answer is option c) 624.99
To find the sum of the first eight terms of the series: (-500) + (-100) + (-20) + (-4) + (-0.8) +..., we first need to recognize that this is a geometric series where each term is a constant multiple of the previous term.
The first term (a) is -500, and the common ratio (r) can be found as follows: [tex]r = \frac{-100}{\ 500} = \frac{1}{5} \ or\ 0.2.[/tex]
Geometric Series Sum Formula
The sum ([tex]S_n[/tex]) of the first n terms of a geometric series is given by the formula:
[tex]S_n = a * \frac{1-r^n}{1-r}[/tex]
Here, a = -500, r = 0.2, and n = 8.
Calculate [tex]r^n: (0.2)^8 = 0.000256[/tex]Calculate [tex]1 - r^n[/tex]: 1 - 0.000256 = 0.999744Calculate the denominator 1 - r: 1 - 0.2 = 0.8Apply the values in the formula: [tex]S_8 = -500 * \frac{0.999744}{0.8}[/tex][tex]S_8 = -500 * 1.24968[/tex][tex]S_8 = -624.99[/tex]The sum of the first eight terms of the series, rounded to two decimal places, is -624.99.
The complete question is:
What is the sum of the first eight terms of the series?
(−500)+(−100)+(−20)+(−4)+(−0.8)+...
Round the answer to two decimal places if necessary.
a) −996.09
b) −625
c) −624.99
d) −623
Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.
I don't understand what I'm suppose to be doing here.
Quadrilateral ABCD undergoes a series of transformations to become A’’B’’C’’D’’. If the first transformation is a reflection over the y-axis, what is the coordinate of C’? What transformation occurs after the reflection over the y-axis that results in the final image?
Quadrilateral ABCD undergoes a series of transformations to become A’’B’’C’’D’’.
The first transformation is a reflection over the y-axis.
The coordinate of C’ would be (-6,3) in this case.
If the image is rotated counter clock wise around the point A then it will result in the final image which is presented in the attached figure.
Hope this helps ..!!
Thank you :)
What are the roots of x2 + 8x – 48 = 0?
show me the work
Find the simplified form of the expression. Give your answer in scientific notation. (4 x 10^10)(9 x 10^5) 3.6 x 10^4 3.6 x 10^49 36 x 10^5 3.6 x 10^6 and please explain
The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle? a. 48 ft by 20 ft b. 40 ft by 28 ft c. 36 ft by 32 ft d.44 ft by 24 ft
A limousine service charges $35 per day and an additional $0.75 per mile. Which of the following represents the number of dollars the limousine service will receive after a 12 mile ride? (A) (35 x 0.75) + 12 (B) 12 x (0.75 x 35) (C) 35 + (0.75 + 12) (D) 35 + (12 x 0.75) (E) (35 x 12) + 0.75
Riverside College had 4,439 students enrolled last year. Of those students, 1,049 graduated and left. If there are 1,110 new students this year, how many students are enrolled at Riverside College this year?
The number of students that are enrolled at Riverside College this year is 4500.
What are the number of students enrolled?Using this formula
Number of student=(Riverside college students-Number of student left)+Number of new students
Let plug in the formula
Number of student=(4,439 - 1,049)+ 1,110
Number of student = 3,390+ 1,110
Number of student= 4,500
Therefore the number of students that are enrolled at Riverside College this year is 4500.
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Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples. What should the second equation be?
d + g = 21
g – d = 21
0.75d + 1.25g = 21
0.75d – 1.25g = 21
The second equation, representing the total cost of both apples as 0.75d + 1.25g = 21.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples.
Assume that the number of Delicious apples are (d) and Golden Delicious are (g) apples.
We can write the second equation as -
0.75d + 1.25g = 21
and the first equation as -
d + g = 22
Therefore, the second equation, representing the total cost of both apples as 0.75d + 1.25g = 21.
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A width of a rectangular painting is 3 in. More than twice the height. A frame that is 2.5 in. Wide goes around the painting. Write an expression for the combined area of the painting and frame
The shorter leg of a right triangle is 12 yards. if the hypotenuse is 20 yards, how long is the other leg?
Which box and whisker plot shows the scores of ten students on a mathematics exam? 89, 78, 93, 90, 75, 81, 91, 80, 89, 79.
what is the approxmate area of the figure
plz look at picture and answer right will give brainlist and 20 extra points
Please help me !! Thanks !
Heather is training for a long-distance run. Her data points listed below represent the days of practice, x, and the number of miles run, y.
(1, 2.5), (2, 4.2), (4, 5.6), (6, 7), (8, 8.1), (10, 11)
Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the nearest tenth of a mile.
Answer:
4.6
Step-by-step explanation:
Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.
Find two consecutive odd intefers whose product is 63
What is the exact volume of the sphere? 36.868π m³ 94.46π m³ 147.456π m³ 463.01π m³ Sphere with dotted line extending from middle point of sphere to edge. Line is labeled four and eight-tenths meters.
The solution is Option C.
The volume of the sphere is given by the equation V = 147.456π m³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the volume of the sphere be represented as V
Now , the equation will be
Let the radius of the sphere be r
The value of r = ( 4 8/10 ) m
So , the radius of the sphere = 4.8 m
Now , Volume of a Sphere = ( 4/3 ) πr³
Substituting the values in the equation , we get
Volume of Sphere V = ( 4/3 ) π ( 4.8 )³
On simplifying the equation , we get
Volume of Sphere V = ( 4/3 ) π ( 110.592 )
On further simplification , we get
Volume of Sphere V = 147.456π m³
Hence , the volume of sphere is 147.456π m³
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A country's people consume 6.36.3 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301301 million.
Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem. A sign on the side of a van is in the shape of a parallelogram. The area of the sign is 330 square inches. The base of the sign is 22 inches long. What is the height of the sign?
Enter your answer in the box.
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