Answer:
The statement is false.
Step-by-step explanation:
Here we need to remember some things:
Integer numbers are closed under multiplication.
This means that for two integers a and b, the product a*b is also an integer.
A rational number is a number that can be written as the quotient of two integer numbers.
An irrational number is a number that can't be written as the quotient of two rational numbers.
Now let's see the statement:
"The product of two rational numbers is irrational."
The product of two rational numbers is written as:
[tex]\frac{a}{b} *\frac{c}{d}[/tex]
Where a, c, b, and d are integers.
We can rewrite that product as:
[tex]\frac{a*c}{b*d}[/tex]
Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.
Then the product of two rational numbers is a rational number.
Then the statement is false.
What is the spread of the data?
17 18 19 20 21 22 23 24 25 26
Age of female U.S. Olympic swimmers
(years)
O A. 17 to 22 years
O B. 17 to 26 years
O C. 22 to 26 years
O D. 16 to 27 years
IN
6
Ted can read 135 pages in 3 hours.
Which statement is true?
A The unit rate is 135 pages in 3 hours.
B
The unit rate is 45 pages in 1 hour.
The unit rate is 45 pages in
1
3
of an hour.
None of the statements are true PLEASE HELPPP MEEE ANSWERRR THIS QUESTION
Answer:
45 pages in 1 hour
Step-by-step explanation:
Find the unit rate by dividing the number of pages by the number of hours
135/3
= 45
This means he can read 45 pages in 1 hour.
The unit rate is 45 pages in 1 hour.
Kahn starts a savings account with$14. He will put in an equal amount each week. After 7 weeks, he will have $56.
Rate of change per week_____
Initial value_____?
Help please
Answer:
The rate of change per week is $6.
Step-by-step explanation:
56 - 14 = 42
42/7 = $6
6 dollars were added each week.
Which statement describes the relationship, if any, that exists between triangle KLM and triangle NPQ?
Triangle L K M. Side K L is 16, L M is 22, K M is 12. Triangle P N Q. Side P N is 8, N Q is 6, P Q is 11. Angles L and P are congruent, Q and M are congruent, K and N are congruent.
They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio Three-halves from Triangle K L M to triangle N P Q.
They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio StartFraction 2 Over 1 EndFraction from Triangle K L M to triangle N P Q.
They are not similar because their corresponding angles are not congruent.
They are not similar because their corresponding side lengths are not proportional.
Step-by-step explanation:
Answer:
it's b on edge
Step-by-step explanation:
please help will mark brainliest
Answer: the answer is 29.3
Step-by-step explanation:
Leon had 84 paper clips. He gave 3 4 of them to Joe. Joe gave 2 7 of what he received to Justin. How many paper clips did Justin get?
Please explain it in a statement way!
Given:
Leon had 84 paper clips.
He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
To find:
How many paper clips did Justin get?
Solution:
Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]
= [tex]63[/tex]
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]
= [tex]18[/tex]
Therefore, Justin has 18 paper clips.
Name this figure
A. Rhombus
B. Rectangle
C. Square
D. Parallelogram
HELP ME PLEASE NOW !!
Answer: D. Parallelogram
Step-by-step explanation:
PLEASE HELP !!!!!!! what is the coordinate of the vertex of the following parabola: (x-1)^2=12(y+2)
a. (-1, 2)
b. (1, 2)
c. (1, -2)
d. (0, 12)
The coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.
What is the equation of the parabola?The set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the fixed line) in the plane is a parabola. The fixed line is the ‘directrix’ and the fixed point is the ‘focus’. The point of intersection of the parabola with the axis is the vertex.
For the given situation,
The equation of parabola is [tex](x-1)^2=12(y+2)[/tex] ------ (1)
The diagram below shows the parabola and the vertex of the equation of parabola.
The general form of the equation of parabola is
[tex](x-h)^{2} =4a(y-k)[/tex]
Here the vertex is (h,k)
Now compare the equation 1 with this general form, we get
⇒ [tex]h=1[/tex] and [tex]k=-2[/tex]
Hence we can conclude that the coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.
Learn more about equation of the parabola here
https://brainly.com/question/20333425
#SPJ2
What’s the scale factor?
Answer:
The scale factor is 1/4
Step-by-step explanation:
20/5 = 4
GEOMETRY NEED HELP AS SOON AS POSSIBLE
Answer:
BAC=15
Step-by-step explanation:
angle BOA= 180-30= 150
triangle BAO is isosceles because it has two equal sides, radii of a circumference so the angles ABO=BAO=(180-150)/2=15
help plwase due soon
Amanda is pumping water into an aquarium at a rate of 12 liters per minute the aquarium had 42 liters of water in it before she started her goal is given by 13x+42<_234 where x is the number of minutes she pumps water into the aquarium
Answer:
Let x represent minutes.
The inequality derived from the question is...
58 > 18 + 5x
Solve for x...
58 > 18 + 5x
58 - 18 > 5x
40 > 5x
40/5 > x
8 > x
So it will take more than 8 minutes to have 58 liters.
Step-by-step explanation:
Hannah Earns $68.00 per hour She is given a pay rise of 10% Workout how much extra money she gets per hour
A rug has an area of 28 square feet and is 4 feet wide. What is the perimiter of the rug?
Answer:
22 feet
Step-by-step explanation:
A=lw
28=l(4)
7=l
P=2l+2w
P=2(7)+2(4)
P=14+8
P=22
Hope it helped! (:
Answer:
The perimeter of the rug is 22.
Step-by-step explanation:
The formula for perimeter of a rectangle is side + side + side + side .
The width of the rug is 4 and the length of the rug is 7.
And 4 + 4 + 7 + 7 = 22.
What is the value of x?
Answer:
Step-by-step explanation:
Calculate the width of it,then add all the sides together.
4-13 writing exponential equations
Answer:
[tex]y=2(\frac{1}{3})^x[/tex]
Step-by-step explanation:
Let the equation of the given exponential function is,
y = a(b)ˣ
Graph of the given exponential function passes through (0, 2) and (-1, 6)
For a point (0, 2),
2 = a(b)⁰
a = 2
For another point (-1, 6),
6 = 2(b)⁻¹
3 = b⁻¹
b = [tex]\frac{1}{3}[/tex]
Therefore, equation of the exponential function will be,
[tex]y=2(\frac{1}{3})^x[/tex]
What is the additive inverse of (- 2) ?
Answer:
2 because it holds the same value as -2 and its the additive inverse
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
2A
6X^2
Step-by-step explanation:
What is the solution to the system of equations?
(-6,4)
(-5, 4)
(-3, -2)
(0, 1)
Answer:
(0,1) is the answer
Step-by-step explanation:
hope it helped!!!
Which of these is a statistical question?
A.How tall is the Willis Tower?
B.How many times has Mark visited the Willis Tower?
C.How many people visit the Willis Tower each day?
D.How tall is Mark?
Answer:
C
Step-by-step explanation:
A student wrote the expression -3(8 - 10) as - 24 + 30. Which property did the student use?
choices ;
a) AAS
B)ASA
Barrett is comparing the membership fees for two museums.The art museum charges a one-time fee of $8.25 plus $2.25 per month. The science museum charges a one-time fee of $10.75 plus $3.50 per month. How much does Barrett save after m months by joining the art museum instead of the science museum?
Answer:
$2.50+$1.25 times M
Step-by-step explanation:
$10.75-$8.25=$2.50
$3.50-$2.25=$1.25
$2.50+$1.25=$3.75
As only one-time fee, we cancel out it, then only add on the per-month fee, which is $1.25 every month.
dude I don’t even know anymore
Answer:
just use the line on the graph :D
Step-by-step explanation:
f(6) =2
the maximum is 7
hope this helps!
Use the distributive property to write an equivalent expression
3(3W – 5x + 1)
Answer:
Submit Answer
help no file plz
Answer:
9w-15x+3
Step-by-step explanation:
3(3W – 5x + 1); using distributive property
3 times 3w= 9w
3 times -5x= -15x
3 times 1=3
combine; 9w-15x+3
please can someone tell me what is 687.7856 rounded to the nearest hundredth
Answer:
i think its (687.79)
Step-by-step explanation:
Answer:
687.79
Step-by-step explanation:
since when the number before the digit is five above
And 8 is the hundredth , the one after eight is 5 so it gives 1 to eight that's how you get your answer
If P= (-3,5) and Q= (1,9), find the equation of the circle that has segment PQ as a diameter
Answer:
The equation of the circle is;
(x - [(-1))² + (y - [7])² = 8
Step-by-step explanation:
The given coordinates of the points P and Q are;
P = (-3, 5) and Q = (1, 9)
To find the equation of the circle that has segment PQ as a diameter
The equation of a circle is (x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center of the circle
r = The radius of the circle
Given that segment PQ is the diameter of the circle, we have;
The center of the circle, O = The midpoint of PQ
The coordinates of the midpoint of segment PQ, O = ((-3 + 1)/2, (5 + 9)/2) = (-1, 7)
∴ The coordinates of the center of the circle, O = The coordinates of the midpoint of segment PQ = (-1, 7)
Therefore;
h = -1, k = 7
From PQ = The diameter of the required circle, we also have;
The length of PQ = 2 × (The radius of the circle) = 2 × r
The length of segment PQ = √((1 - (-3))² + (9 - 5)²) = √32 = 4·√2
Therefore;
The length of PQ = 4·√2 = 2 × r
r = (4·√2)/2 = 2·√2
r = 2·√2
r² = (2·√2)² = 8
r² = 8
The equation of the circle is therefore;
(x - h)² + (y - k)² = r²
(x - (-1))² + (y - 7)² = 8.
True of false: two expressions can only be equivalent if they share the same domain.
Answer
True I’d think
Step-by-step explanation:
find the area of the shaded region inside the rectangle hexagon given one of the side lengths is 8.
A 163
B 230
C 300
D 233.3
Part D:
240 out of 1200 adults in survey of Western states named cookie dough as their favorite. Use the double number line to find the percent of Westerners who liked cookie dough best. Please label each of the points on the top and bottom number lines that you use to find your answer.
1200/240=5
so 240 goes into 1200 5 times, just like 20% goes into 100% 5 times.
The answer would be 20%.
Hope this helps!