Answer:
[tex] \sqrt{2} =1.41421356237...[/tex]
Answer:
The proof that √2 is indeed irrational is usually found in college level math texts, but it isn't that difficult to follow. It does not rely on computers at all, but instead is a "proof by contradiction": if √2 WERE a rational number, we'd get a contradiction.
...
A proof that the square root of 2 is irrational.
2 = (2k)2/b2
b2 = 2k2
Camila has two summer jobs. During the week she works in the grocery store, and on
the weekend she works at a nursery. She gets paid $20 per hour to work at the
grocery store and $21 per hour to work at the nursery. How many total hours does
she work if she does 10 hours at the grocery store and 6 hours at the nursery? How
many total hours does she work if she does g hours at the grocery store and n hours
at the nursery?
Answer:
Camila works 16 hours if she does 10 hours at the grocery store and 6 hours at the nursery.
Camila works g+n hours if she does g hours at the grocery store and 6 hours at the nursery.
Step-by-step explanation:
1. Add up the grocery store hours and the nursery hours together.
10+6=16
g+n=g+n
Please rate this answer Brainliest!
somebody help me out asap
Answer:
the first one doesn't represent function
Step-by-step explanation:
in the domain, x can only be once.
I wil Mark BRANLIEST!! HELP!!!! Consider the graphs of linear function f(x) = 3x, quadratic function g(x) = 3x2, and exponential function h(x) = 2x. Which statement about the functions f, g, and h is correct?
A. As x increases, the value of f(x) will eventually exceed the values of g(x) and h(x).
B. As x increases, the value of g(x) will eventually exceed the values of f(x) and h(x).
C. As x increases, the value of h(x) will eventually exceed the values of f(x) and g(x).
D. As x increases, the values of both f(x) and g(x) will eventually exceed the value of h(x).
Here the Graph: https://www.savvasrealize.com/community/proxy/assessment/68bd51a0599744be92849bd2e08be180/images/bdbcc6b2-8670-4ddc-95a2-a48b6d6da348
Answer:
Option C.
Step-by-step explanation:
We know that, for a value a > 1.
if b > c, then:
a^b > a^c
Now, this means that if we have two functions:
f(x) = x^n
g(x) = x^m
and m > n
then for large values of x, g(x) will be larger than f(x), because g(x) has a larger exponent.
now, is also true that:
f(x) = x^n
g(x) = n^x
for n > 1
For large values of x, g(x) will be larger than f(x), again, because for larger values of x g(x) will have a really large exponent, thus it grows really fast.
Then we can conclude that for the functions:
f(x) = 3*x
g(x) = 3*x^2
h(x) = 2^x
For a given value of x, h(x) will exceed the other two functions.
This can be seen in the graph below, where:
h(x) is purple, g(x) is blue, and f(x) is green.
We can see that eventually, h(x) exceeds the other two.
The correct option is C.
Fruntum A bucket is 20cm in diameter at the open end,12cm in diameter at the bottom,and 16cm deep. To what depth would the bucket fill a cylindrical tin 28cm in diameter?
Answer:
The depth is 5.33cm
Step-by-step explanation:
Given
[tex]D =20cm[/tex] --- diameter at open end
[tex]d = 12cm[/tex] --- diameter at bottom
[tex]H=16cm[/tex] -- depth
[tex]d_c = 28cm[/tex] --- diameter of the cylinder
Required
The depth the bucket will fill the cylinder
First, calculate the radii at the ends of the bucket
[tex]R=D/2 =20cm/2 = 10cm[/tex]
[tex]r=d/2 =12cm/2 = 6cm[/tex]
The volume of the bucket (frustum) is:
[tex]V = \frac{1}{3} \pi H(R^2 + Rr + r^2)[/tex]
[tex]V = \frac{1}{3} *\pi * 16 * (10^2 + 10*6 + 6^2)[/tex]
[tex]V = \frac{1}{3} *\pi * 16 * 196[/tex]
[tex]V = 1045.33\pi cm^3[/tex]
The volume of a cylinder is:
[tex]V = \pi r_c^2h_c[/tex]
Where:
[tex]r_c = d_c/2 = 28cm/2 =14cm[/tex]
So, we have:
[tex]1045.33\pi = \pi * 14^2 * h_c[/tex]
[tex]1045.33\pi = \pi * 196 * h_c[/tex]
[tex]1045.33\pi = 196\pi * h_c[/tex]
Make h the subject
[tex]h_c = \frac{1045.33\pi}{ 196\pi}[/tex]
[tex]h_c = \frac{1045.33}{ 196}[/tex]
[tex]h_c = 5.33[/tex]
Question 8 of 1010 Points
Which of the following statements is false?
A. The diagonals of a rhombus are perpendicular and bisect each other.
B. A quadrilateral is a polygon with four angles.
C. In quadrilateral PQRS, ∠P and ∠S are opposite angles.
D. A rhombus is a quadrilateral.
Answer:
C
Step-by-step explanation:
In a quadrilatteral PQRS,angle P and angle S are not opposite anglesIn quadrilateral PQRS, ∠P and ∠S are opposite angles is false statement. Option c is correct.
False statement to be determine.
Quadrilateral is geometric shape encloses by 4 lines.
For A. The diagonals of a rhombus are perpendicular and bisect each other. This statement is true.
B. A quadrilateral is a polygon with four angles. Its also true.
C. In quadrilateral PQRS, ∠P and ∠S are opposite angles. Its false because ∠P is opposite to ∠R.
D. A rhombus is a quadrilateral. It is also true
Thus, In quadrilateral PQRS, ∠P and ∠S are opposite angles is false statement.
Learn more about quadrilateral here:
https://brainly.com/question/13805601
#SPJ5
Which of the following equations would be the result of using completing the square to solve the equation 3x 2 + 11x - 4 = 0?
Answer:
Answer:(x+11/6)^2 = 169/36
Step-by-step explanation:
3x^2 + 11x - 4 = 0
x^2 + (11/3)x = 4/3
(x+11/6)^2 = 169/36
Step-by-step explanation:
x
V 10 km
V 15 km
A) V5 km
C) 5 km
B) V7 km
D) 2V5 km
What is the constant rate of change shown in the table?
A. 5 mph
B. 1.5 mph
C. 15 mph
D. 1/5
a
0*5 =0
1*5=5
2*5=10
3*5=15
The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?
What is the volume, in cubic inches, of a basketball with a diameter of 9 inches?
A.121.5π
B.273.4π
C.324π
D.972π
Answer:
the answer is c
C.324π(x, y) ----> (x + 2, y - 3) please help this is my final
slide right 2 and down 3
OPTION B is the correct answer.
what will be the index of 2 for its value equal to 1/2
Answer:
the index of 2 is -1
Step-by-step explanation:
[tex]2^{-1}[/tex]
=[tex]\frac{1}{2^1}[/tex]
=[tex]\frac{1}{2}[/tex]
a box in the shape of a rectangular prism has the dimensions shown. what length of the interior diagonal of the box? round to the nearest tenth.
100 cm
80 cm
60 cm
Answer:
where is the diagram
pls correct
AYUDA PLIS
UNA SENORA SE GANO LA QUINELA PERO EL EMPLEADO DE LA AGENCIA LE DIJO EL PREMIO ES UN ACERTIJO DESCUBRIR CUANTO GANO
SEÑORA SU PEMIO ES UN MILLON DE PESOS MENOS TRECIENTOS CINCUENTA Y OCHO MIL CUATROCIENTOS VENTICUATRO PESOS . CUANTO OBTENGA ESE NUMERO QUE LE DOY EN ACERTIJO , DUPLIQUELO
A AL FINAL ¿ LA SEÑORA GANO MAS O MENOS QUE UN MILLON DE PESOS
B EN EL CASO QUE HAYA GANADO MAS DE UN MILLON DE PESOS ¿ POR CUANTO PASO EL MILLON
Sally opened a bank account with $562.55. After receiving her first pay
check, she deposited another $121.35 into her bank account.
How much
money does Sally now have in her bank account?
$683.90
$682.90 $441.20
$442.20
Answer:
683.90
Step-by-step explanation:
562.55
+121.35
683.90
6. Suppose Daniel decides to cheat and makes up 6 numbers. He writes down
2, 4, 12, 18, 19, and 25. In order for the rest of his project to correctly
match this data, what would he have to change and how? What parts could
stay the same? Explain your reasoning.
Change:
Same:
PLEASE SOMEONE HELP IM IN NEED
Answer:
he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.
Help! To solve this system of equations by elimination, what operatfon could be used to eliminate the x-variable and find the value of y?
6x + 5y = 2
4x + 2y = 8
es )
A)
subtract 2 times the second equation from 3 times the first equation
B)
subtract 3 times the second equation from 2 times the first equation
9
subtract 5 times the second equation from 2 times the first equation
D)
subtract 2 times the second equation from 5 times the first equation
Answer:
c)
subtract 5 times the second equation from 2 times the first equation
Step-by-step explanation:
subtract 5 times the second equation from 2 times the first equation
This will make the coefficient of the y variable 10
for both equations
10y - 10y = 0
leaving only x
Solve by elimination
-6x+y= -2
-3x-6y= 12
Answer:
Ans: x=0
y= -2
Step-by-step explanation:
-6x+y= -2--------- (1) × 6
-3x-6y= 12--------(2) × 1
-36x+6y= -12-----(3)
-3x-6y= 12--------(2)
(3)+(2)
-36x+6y+(-3x-6y) = -12+12
⇒ -36x+6y-3x-6y = 0
⇒ -36x-3x = 0
⇒ -39x=0
⇒ x= 0/-39
∴ x = 0
Substitute x = 0 into (1)
-6x+y= -2
⇒-6(0)+y= -2
⇒0+y= -2
∴y = -2
Ans: x = 0
y = -2
Check:
-6x+y= -2--------- (1)
= -6(0)+(-2)
= 0 - 2
= -2 ✔
-3x-6y= 12--------(2)
= -3(0)-6(-2)
= 0+12
= 12 ✔
A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?
Answer: the length of the base is 15 kilometers.
Step-by-step explanation:
formula : Area of parrallelogram = Length of base x height
Given: Area of parallelogram = 300 square kilometers
height = 20 kilometers
Substituting values in the formula , we get
300 = Length of base x 20
Length of base = [tex]\frac{300}{20}[/tex]
= 15 kilometers
Hence, the length of the base is 15 kilometers.
Work out the area of a rectangle with base,
b= 7.3mm and height,
h= 5mm
Answer:
36.5 mm²
Step-by-step explanation:
7.3 * 5 = 35 + 1.5 = 36.5 mm²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Taylor will need cup of raisins
Answer:
yes get those raisins taylor
Step-by-step explanation:
woo! go taylor
In
Δ
ABC, BC = a = 16, AC = b = 10, and m
∠
C
= 22°. Which equation can you use to find the value of c = AB?
Answer:
7.7
Step-by-step explanation:
use law of cosines
c² = a² + b² - 2ab * cosC
c² = 16² + 10² - 2(16)(10)cos22
c² = 256 + 100 - 320 * 0.927183854566787
c² = 59.3011665386
c ≈ 7.7
Answer:
You can use the Law of Cosines to solve for c:
c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°.
Step-by-step explanation:
plato!!
Sum1 plz help with this
Answer:
x = 8.7
Step-by-step explanation:
Use the formula
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +11^{2} =14^{2} \\\\x = 8.660[/tex]
Solve for the measure of angle F. Helppppppppppp
Last math question please help thank you
Step-by-step explanation:
QR= 1.5 inches
TS= 2 inches
TP= 3.8 inches
RS= 1.4 inches
PQ= 2.6 inches
now complete ur promise
Answer:
Step-by-step explanation:
Remark
The question says to increase the lengths of each side by a factor of 1.5.
That means that every measurement we see on the diagram is multiplied by 1.5
QR = given length times 1.5
given length = 1.5
QR = 1.5 * 1.5
QR = 2.25
TS = given length * 1.5
TS = 2 * 1.5
TS = 3
TP = given length * 1.5
TP given = 3.8
TP = 3.8 * 1.5
TP = 5.7
RS = given length * 1.5
given length = 1.4
RS = 1.4 * 1.5
RS = 2,1
PQ = given length * 1.5
given length = 2.6
PQ = 2.6 * 1.5
PQ = 3.9
Write two numbers that multiply to the value on the top and add to the value on bottom
Answer:
Step-by-step explanation:
-10 and 9
-10×9=-90
-10+9=-1
Fill in the missing numbers : )
The Missing numbers are :
[tex] \boxed{1.9}[/tex][tex] \boxed{3.4}[/tex]Solution :Each term in the pattern is formed by the successive addition of " 0.5 " in the previous term.
therefore, the sequence will be like :
[tex] \hookrightarrow1.9, \: 2.4, \: 2.9, \: 3.4, \: 3.9, \: 4.4[/tex]
And, missing terms are :
1.9 and 3.4 respectively
[tex] \mathfrak{hope \: it \: helps \: you.....}[/tex]
WHAT IS FOURTH OFR 17%
Im not sur eabout this but i think it mean that 17% is like0.98_08
Please answer this fasttt
in which graph does the slope of the line l lequal zero
Answer:
wait can you make the same question with a picture or you don't have any pictures that comes with the problem?