Answer: r+7 is irrational
Step-by-step explanation:
1) If r is irrational, that means that it goes on and on forever.
2) 7 is a rational number because it can be expressed as a quotient of 2 integers (7÷1=7)
3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.
Which expression is equivalent to
Answer:
Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]
Step-by-step explanation:
=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]
=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]
=> [tex]x^{\frac{1}{8}}y^8[/tex]
The graph of a line passes through the two points (-2, 1) and (2, 1). What is the equation of the line written in general
form?
Oy - 1= 0
Ox-y+1 = 0
OX+ y - 1= 0
Answer:
y - 1 = 0.
Step-by-step explanation:
First off, we need to find the slope between the two points. That would be (1 - 1) / (2 - -2) = 0 / 4 = 0.
So, we would have an equation y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 0, we have y = 0x + b, or y = b.
If you examine the coordinates, y always equals 1. So, b = 1, and y = 1.
y = 1
y - 1 = 0.
Hope this helps!
PLEASE ANSWER THIS GEOMETRY QUESTIONS ASAP FOR ME PLEASE!!
Answer:
x = 12.5
Step-by-step explanation:
Since measure of 4th arc is not given (measure of 3 arcs have been given), we will apply the following theorem.
By the intersecting chords theorem,
"If two chords intersecting inside a circle, measure of the angle between these chords will measure the half the sum of measures of arcs intercepted by the angle and its vertical angle."
Here intercepted arcs are (2x)° and 155°. Angel between the chords measure 90°.
By the theorem,
90° = [tex]\frac{1}{2}(2x + 155)[/tex]°
180° = (2x + 155)°
2x = 180 - 155
2x = 25
x = 12.5
Use the distributive property to multiply -3(-28)
Answer:
84
Step-by-step explanation:
-3 multiplied by -28 equals 84. The two negatives cancel out.
Answer: ur answer would be 84
-3*-28
84
Which statement is true regarding the graphed functions?
A. f(4) = g(4)
B. f(4) = g(-2)
C. f(2) = g(-2)
D. f(-2) = g(-2)
Answer:c. F(2)=g(-2)
Step-by-step explanation:
This box has the same length, width, and height as the two tennis balls. Which expression gives the volume of the empty space encircling the tennis balls inside the box?
Formala : Times bottom row with side row with the height.
Example: A box has the same length, width, and height as two tennis balls.
Times the bottom row with side row with the height.
is 1.25 the same as 25%?
Answer:
No
Step-by-step explanation:
1.25 as a percentage is 125%.
25% as a decimal is 0.25.
Using side lengths only, could the triangles be similar? Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Side Q R is 1, R S is 1.5, S Q is 0.5.
Answer:
no
Step-by-step explanation:
In ∆XYZ, we can write the ratios of the sides from shortest to longest as ...
y : z : x = 1 : 1.5 : 2 = 2 : 3 : 4
In ∆QSR, we can write the ratios of the side lengths from shortest to longest as ...
r : s : q = 0.5 : 1 : 1.5 = 1 : 2 : 3
Based on side lengths only, the triangles cannot be similar.
__
Additional note
Even if shortest-to-longest side ratios were the same, the triangle naming is incorrect for them to be similar.
30 Points!! Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?
Answer:
Its a postive number
Step-by-step explanation:
If you look it says she is at sea leveal wicth is 0 and she is going up 12.3 feet so its postive.
The change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.
What is subtraction?The process of subtracting one number from another is known as subtraction.
Given that, the lowest point of the Ferris wheel is -9.6 feet, and the highest point is 12.3.
The change in elevation from the bottom of the Ferris wheel to the top of the Ferris wheel is,
12.3 - (-9.6)
=12.3 + 9.6
= 21.9
Hence, the change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.
To learn more about subtraction, click here:
https://brainly.com/question/2346316
#SPJ5
In a game the average score was 60 time score was 5/2 of the average what was Tim’s score?
Answer:
in my own reasoning not sure if I am correct
Step-by-step explanation:
first it said Tim score was 5/2 of the of the average score
and the average score is 60
so that will be 5/2 × 60 which is
= 150
82 Find the circumference
of a circle with a radius
of 10cm.
A. 6.28 m
B. 62.8m
C. 628m
D. 6280m
Answer:
0.628 m (This is the correct answer but I cant find it in your options)
Step-by-step explanation:
Radius = 10 cm = 0.1 m
Now, The circumference:
=> Circumference = [tex]2\pi r[/tex]
=> C = 2(3.14)(0.1)
=> C = 0.628 m
Answer:
B. 62.8m
Step-by-step explanation:
C= 2πr= 2*3.14* 10 m= 62.8 m
Assumed radius is 10 m as the answer options are in metre
Suppose that each country currently has 90 workers and each decides to transfer some amount of labor toward its area of comparative advantage. The United States transfers 10 workers away from socks toward producing cell phones. Thailand transfers 18 workers away from cell phones toward producing socks. What will be the new total output of cell phones for both countries combined?
Answer:
I got 41000 cell phones.
Step-by-step explanation:
Step 1: I figured out the amount of each workers from 90
US Sock Production: 18 workers
Thailand Sock Production: 15 workers
US Cell Production: 27 workers
Thailand Cell Production: 30 workers
Step 2: I adjusted the workers amounts to the question's changes
US Sock Production: 18 - 10 = 8 workers
Thailand Sock Productions: 18 + 15 = 33 workers
US Cell Production: 27 + 10 = 37 workers
Thailand Cell Production: 30 - 18 = 12 workers
Step 3: Find the total amount of cell phones produced
4(1000) + 37(1000) = 41000 cell phones
*12/3 = 4 because 3 workers are needed to make 1000 cell phones
What is the parametric form of the line r = (2, -3, 0) + t(1, 0, -1)?
Answer:
d
Step-by-step explanation:
(x,y,z)=(2,-3,0)+t(1,0,-1)
(x,y,z)=(2,-3,0)+(t,0,-t)
(x,y,z)=(2+t,-3,-t)
x=2+t
y=-3
z=-t
If you don't understand, you can ask me :)
SOMEBODY HELPPP PLEASEEEE. I don’t understand
Answer:
a) 18
b) 10
c) x^2 - 4x + 5
d) 4x^2 + 2
Step-by-step explanation:
f(x) = 4x - 2
g(x) = x^2 + 1
a) f(5) = 4(5) - 2 = 20 - 2 = 18.
b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.
c) g(x - 2)...
g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.
d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.
Hope this helps!
Simplify this expression: 19 - (-8) - (-14) = ? A. 41 B. 25 C. -7 D. -3
Answer:
A. 41
Step-by-step explanation:
19 - (-8) - (-14) =
19+8+14
Remember: Two negatives=One positive ;)
27+14
41
A. 41
Answer:
[tex]\mathrm{A.} \: 41[/tex]
Step-by-step explanation:
[tex]19 - (-8) - (-14)[/tex]
[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]
[tex]19+8+14[/tex]
[tex]\mathrm{Add \: the \: numbers.}[/tex]
[tex]=41[/tex]
The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What is the area of the larger rectangle? PLEASE its important
Answer: 464 square inches is the area of the larger rectangle.
Step-by-step explanation: Assuming that the shaded area is the part of the large rectangle outside the small rectangle, you can set up dimensions from the information given.
The small rectangle's Area = w (2w -1) which is 2w² -w
The large rectangle's Area = (w + 2)(2w + 1) which is 2w² + 5w +2
Now figure out the equation for the "shaded area" (probably outside the small rectangle) 2w² + 5w +2 -(2w² -w) = 86 (The 2w² terms cancel)
6w + 2 = 86, so 6w = 84, w=14
Substitute 14 for w in the dimensions of the large rectangle: (w + 2)(2w + 1)
(14+2)(2[14] + 1) = Area
16 × 29 = 464
(I think I deserve Brainliest for figuring this out, but I see the question has been red-flagged, so We'll see!)
Find the solution of the following simultaneous inequalities: x - 7 –1
Answer:
x-8
Step-by-step explanation:
You add the -7 and -1 and then put the x in front of your answer.
Answer: x-8
Step-by-step explanation:
x-7-1
-7-1=-8
x-8
What is the slope of the line represented by the equation y = 5 x – 3?
0-3
4
o
5
tln m
O 3
Answer:
the slope is 5
Step-by-step explanation:
y = 5 x – 3
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
the slope is 5 and the y intercept is -3
Answer:
The Slope is 5
Step-by-step explanation:
As seen in the y-intercept equation, 5x is shown as the slope of the line.
If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .
Answer:
[tex]\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}[/tex]
Step-by-step explanation:
Since we cannot factor the expression, we must use quadratic formula: [tex]x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}[/tex]
Plug in a for 2, b for 3, and c for -7 and you should find your roots.
Find the value of:[(1/4)-1 + (1/3)-2 - (1/2)-3 ] ÷ 52
Answer:
-71/624
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into you calc. If you are doing it by hand, remember BPEMDAS and convert the fractions into same denominators to make adding easier.
Please help me find the area of this shape
Answer:
44+50 =94 in²
Step-by-step explanation:
Trapezoid
A= 1/2h(b1+b2)
A= 1/2*4(7+15)
A=1/2*4(22)
A=44
Rectangle
A=l*w
A=5*10
A=50
44+50 =94 in²
What is the height of the prsim if there is 3 meters,2 meters, and the volume is 36 cublic meters
Answer: The height is 6 meters
Step-by-step explanation:
3 * 2 *h = 36 where h is the height
6h = 36
h = 6
Answer:
The answer is 6
Step-by-step explanation:
Because you would have to get 6h=36 alone so you would have to divide 6 by both sides. which gives you h=6
find 1st - 4th term and then the 10th term for:
A: rule is n^2+3
B: rule is 2n^2
Answer:
A
n^2+3
1. 1^2+3= 4
2. 2^2+3= 7
3. 3^2+3= 12
4. 4^2+3= 19
5. 10^2+3= 103
B
2n^2
1. 2*1^2=2
2. 2*2^2= 8
3. 2*3^2= 18
4. 2*4^2= 32
5. 2*10^2= 200
Answer:
see below
Step-by-step explanation:
n^2+3
n=1: 1^2+3 = 1+3 =4
n=2: 2^2+3 = 4+3 =7
n=3: 3^2+3 = 9+3 =12
n=4: 4^2+3 = 16+3 =19
n=10: 10^2+3 = 100+3 =103
2n^2
n=1: 2*1^2 = 2*1 =2
n=2: 2*2^2 = 2*4 =8
n=3: 2*3^2 = 2*9 =18
n=4: 2*4^2 = 2*16 =32
n=10: 2*10^2 = 2*100 =200
In a certain company, all employees are either beta employees or standard employees. In this company, 25% of the beta employees and 17% of the standard employees participate in the voluntary equity program. Let S be the number of standard employees. If there are 600 employees total, what is the value of S?
In addition to the question, the following conditions must be met:
(1) M > 100
(2) more than 130 employees participate in the voluntary equity program
Answer:
Value of A is 200
Step-by-step explanation:
In this scenario when we divide 100 by the percentage of each employee category we will get a proportion that the number of employees must obey.
This is illustrated below:
For Beta employees 100/25= 4
So the number of employees that are Beta must be divisible by 4
For Standard employees 100/17 = 5.882
Since fractions of employees cannot be obtained, in this case the number of employees must be a multiple of 100
Total employees are 600
The various combinations are:
1. Beta employees 500 and Standard employees 100
Survey participants= (0.25 * 500) + (0.17 * 100) = 142
Number of participants is okay as it is >130 but does not satisfy Standard employees being >100
2. Beta employees are 300 and Standard employees are 300
Survey participants = (0.25 * 300) + (0.17 * 300) = 126
This does not satisfy condition of survey participants >130
3. Beta employees 400 and Standard employees 200
Survey participants = (0.25 * 400) + (0.17 * 200) = 134
This satisfies conditions of >130 survey participants and Standard employees >100
So correct value of S is 200
Which step is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line?
Answer:
Both types of lines are built on the same plane although they meet different objectives for which they are built.
Step-by-step explanation:
The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.
2. in a geometric progression
the first term is 64 and the
fourth term is 27. Calculate
(a) the common ratio
Answer:
0.75 or 3/4
Step-by-step explanation:
If we call the common ratio r, since 4 - 1 = 3 we can write:
64 * r³ = 27
r³ = 27/64
r = ∛(27/64) = ∛27 / ∛64 = 3 / 4
Answer:
(a) the common ratio = 3/4.
Step-by-step explanation:
First term a1 = 64
The fourth term a4 = a1 r^3 = 27
So a1 r^3 / a1 = 27/64
r^3 = (27/64)
r = ∛ (27/64
= 3/4.
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90 ?
Answer:
31hr
Step-by-step explanation:
100
b)
2. Write the following decimals as common fractions in their simplest forms
a) 0,8
b) 0,03
Answer:
4/5, 3/100
Step-by-step explanation
Let's look at 0.8 first.
0.8 is 8/10, but there's some more.
Let's divide 8 / 2. It is 4.
and, 10 / 2 is 5.
so, 0.8's simplest form is 4/5.
and, 0.03's simmplest fraction is easy.
It is 3/100, cuz 3 is a prime number and 3's integer is only 1 and 3.
Hope this helps!
Find five rational numbers between 2/3and4/5
Answer:
61 / 90, 62 /90, 63 /90, 64/90, 65/90
Explanation:
2/3 = 2 x 5 / 3 x 5
= 10 / 15
4/5 = 4 x 3 / 5 x 3
12 / 15
we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6
10 / 15 X 6 /6
= 60 / 90
12/ 15 X 6 /6
= 72 / 90
the rational numbers = 61 / 90 62 /90 63 /90 64/90 65/90
Answer:
31/45, 32/45, 11/15, 34/35, 7/9.
Step-by-step explanation:
The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:
10/15 and 12/15 so one rational number between these is 11/15.
Now 11/15 = 33/45 and 4/5 = 36/45
So 2 rationals between these are 34/45 and 35/45 = 7/9
2/3 = 30 /45 and 11/15 = 33/45
so 2 rationals between these are 31/45 and 32/45.
Use the identity below to complete the tasks:
23 - 63 = (a - b)(a² + ab + b2)
When using the identity for the difference of two
cubes to factor 64x8 - 27
a=
b =
Answer:
a is 2q^2r
b is 3s^2t
the expression factored is...
(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)
Step-by-step explanation: