Answer:
Two choices are correct answer.
y = x and y = 1/4 x
Step-by-step explanation:
We have given four equations.
We have to choose the equations that are direct variation function.
Direct variation function is defined as the relation where one variable vary constant times to the other variable.
let two variables are x and y.
y = kx where k is constant.
Comparing given equation , we notice that
y = x is direct variation function where k = 1.
y = 1/4 x is direct variation function where k = 1/4.
india says that (3³)² is equivalent to 243 because the exponents should be added when simplifying the expression. explain why india is incorrect.
pls help
Answer: India is incorrect because you multiply the exponents are supposed to be multiplied not added
Step-by-step explanation:
PLEASE HELP ASAP
Find the length of the arc.
Answer Options:
A. 9π/2 km
B. 9π/3 km
C. 539π/12 km
D. 18π km
Answer:
A. 9π/2km
Step-by-step explanation:
the length of the arc is
s= angle in radians* radius
the angle in radians
135 = 3π/4
therefore length of arc
s= (3π/4)*6 = 9π/2km
Can someone help me with this math homework please!
f(2)= f(1+1) ,where n= 1
=-6
= -2×3
= -2f(1)
f(n+1 )= -2f(n)
OPTION C is the correct answer
Answer:
option 3 is the answer.
Step-by-step explanation:
3, - 6, 12, - 24, 48, .....
Here,
f ( 1 ) = 3
f ( 2 ) = - 6
f ( n + 1 ) = - 3 f ( n )
f ( 1 + 1 ) = - 3 f ( 1 )
f ( 2 ) = - 3 x 3
f ( 2 ) = - 9
This recursive formula is not correct.
f ( n + 1 ) = - 2 f ( n )
f ( 1 + 1 ) = - 2 f ( 1 )
f ( 2 ) = - 2 ( 3 )
f ( 2 ) = - 6
This recursive formula is correct.
Next year, air fares will rise by 3%.
Calculate the new price of a R 1 400 ticket.
9514 1404 393
Answer:
₹1442
Step-by-step explanation:
The new price will be 1+3% = 1.03 times the old price.
₹1400 × 1.03 = ₹1442
Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of Z3?
1/2
4/3
5/6 = 75°
7 8
Answer:
105
Step-by-step explanation:
angle 6 and 2 are equal
angle 2 lies on a 180 line with angle 3
180-angle 2 =angle 3
180-75=105
In the diagram below, AB is parallel to ¿o. What is the value of x?
Answer:
45
Step-by-step explanation:
corresponding angles
Given a line segment that contains the points A,B, & C in order, if AB = x - 2, and BC = 2x + 6, and AC = 19, find x.
i need help asap!!!!!!!! thanks
Answer:
A.
C.
Step-by-step explanation:
range of a function is the number interval of the y (function) values.
the domain is the number interval of the x (input) values.
A.
this function has only one constant functional value : -5
so the range is the set with only that one value.
B. no, the line goes across all possible values of x.
it is therefore not limited to a single value.
C. see B. therefore, true.
D. see A. no, only one value.
E. is simply a wrong statement. it would not be a function, if there is an x that has more than one y value. but that is not the case here. every x value has exactly one y value. they are all the same, but that does not matter.
what is the measure of 3?
Answer:
∠ 3 = 60°
Step-by-step explanation:
∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then
4x + 36 + 3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Then
∠ 2 = 3x - 3 = 3(21) - 3 = 63 - 3 = 60°
∠ 2 and ∠ 3 are alternate angles and are congruent, so
∠ 3 = 60°
Answer:
60°
3(21)- 3 = 60
Step-by-step explanation:
4x+36 + 3x-3 = 180
x = 21
Find quotient (10c² + 49cd + 49d²) ÷ (5c + 7d)
plz answer correctly and with easy method.
(10c² +49cd+49d²) ÷ (5c+7d)
(5c+7d)(2c+7d) ÷ (5c+7d)
Delete (5c+7d)
= (2c+7d)
1/6 of the age of a mother is the age of her daughter. If the difference of their ages is 35 years, find the age of the mother.
Answer:
24 6
Step-by-step explanation:
""6_6_6&6&6&6__5ddyfouoyfkykyky
Find the value of HG in the image below
Bob's Shoe Emporium sold 5,787 shoes in March. In April they sold 6,245 shoes. How many more shoes did they sell in April than in March? Explain how you got your answer.
Find LN given the mid-segment?
Answer:
LN=4
Step-by-step explanation:
Since BA is the mid-segment of ΔLMN the end-segment will be twice the length. [tex]2*2=4[/tex]
suppose the team wins ten of it's following remaining 18 games. What is it's winning percentage?
need to find perimeter
Answer:
i think it's 38, pls don't blame me if i am wrong.
Step-by-step explanation:
4×((-1+2-3+4-5+6-7...+1000)
-1 + 2 - 3 + 4 - 5 + 6 - … - 999 + 1000
= -(1 + 3 + 5 + … + 999) + (2 + 4 + 6 + … + 1000)
= -((2 - 1) + (4 - 1) + (6 - 1) + … + (1000 - 1)) + 2 (1 + 2 + 3 + … + 500)
= -((2 + 4 + 6 + … + 1000) - 500) + 2 (1 + 2 + 3 + … + 500)
= -(2 (1 + 2 + 3 + … + 500) - 500) + 2 (1 + 2 + 3 + … + 500)
Let S = 1 + 2 + 3 + … + 500. Then this sum is equal to
= -(2S - 500) + 2S
= -2S + 500 + 2S
= 500
and multiplying by 4 gives 2000.
Answer:
[tex]4\times \left(\left(-1+2-3+4-5+6-7+1000\right)\right)[/tex]
[tex]calculate\: within \: the \:parentheses[/tex]
[tex]-1+2=1[/tex]
[tex]=1-3+4-5+6-7+1000[/tex]
[tex]1-3=-2[/tex]
[tex]=-2+4-5+6-7+1000[/tex]
[tex]-2+4=2[/tex]
[tex]=-3+6-7+1000[/tex]
[tex]3-7+1000[/tex]
[tex]=-4+1000[/tex]
[tex]=996[/tex]
[tex]Multiply:-[/tex]
[tex]4\times996[/tex]
[tex]=3984[/tex]
--------------------------
Hope it helps..
Have a great day!!
A rectangular prism has a square base with edges measuring 8 inches each. Its volume is 768 cubic inches. Find the height and the surface area of the prism
Answer:
Height = 12in
Surface area = 320in²
Step-by-step explanation:
Given
Length of the square base = 8in
Volume of the prism = 768 cubic inches
Using the formula;
Volume of the prism = Base area * Height of prism
768 = 8² * H
768 = 64H
H = 768/64
H = 12in
Hence the height of the prism is 12in
Get the surface area
Surface area = 2l² + 2lh
Surface area = 2(8)² + 2 (8)(12)
Surface area = 128 + 192
Surface area = 320in²
Hence the Surface area of the prism is 320in²
What is the area of the right triangle below? A. 96 sq. units
B. 11 sq. units
C. 22 sq. units
D. 48 sq. units
Answer:
D. 48 sq. units
Step-by-step explanation:
Area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 16) *6
A = 48
Whitch number line represents all the values of x^2 = 64
Answer:
B
Step-by-step explanation:
8^2=64. -8^2 also =64.
Help pls!
Suppose ten distinct, positive integers have a median of 10. ("Distinct integers" means that no two integers are the same.)
What is the smallest the average of those ten integers could be?
Explain your answer in complete sentences.
Answer:
8.4
Step-by-step explanation:
Since we want to minimize the average, the integers should be made as small as possible. So, we have 4 integers:
1, 2, 3, 4
However, the median must be 10. The next two integers must have an average of 10 - and since the integers are distinct, we should use:
9, 11
From there, we use the smallest integers (that are still above 11) possible:
12, 13, 14, 15
The average of these 10 integers is 84/10, or 8.4.
The median is still 10, because (9+11)/2 is 10.
Answer:
8 (or 8.4)
Step-by-step explanation:
First, the problem states the words: Distinct and positive.
That means that the smallest number we can use is 0.
We can make 10 blanks for 10 numbers for us to fill in.
_ _ _ _ _ _ _ _ _ _
Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.
In this case, our two numbers are the 5th and 6th blank.
Any two numbers can be used, as long as they are the same actual value from 10.
Let us first put in the numbers we can, which are the numbers before the two middle blanks.
0,1,2,3, _ _ _ _ _ _
To find the median between two numbers, we can do:
(a+b) divided by 2 = median
We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.
Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.
4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.
Now let's place the other numbers in for these two equations.
0,1,2,3,4,16,17,18,19,20
0,1,2,3,9,11,12,13,14,15
If we add the numbers of each together, we get:
0,1,2,3,4,16,17,18,19,20=100
0,1,2,3,9,11,12,13,14,15= 80
If we now divide each sum by 10 (to find the average) we get:
10
8
Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.
Since the smaller answer we got was 8, the answer must be 8.
(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process
the graph of a linear function is given below
Answer:
A
Step-by-step explanation:
The zero of the function is where the y-value is zero.
then it's -5
Pls help fast need answers ASAP
Answer:
1. (you could have used your calculator too ...)
625
46225
11.56
1.5625
0.3364
2. a, b, c, d are not prefect squares
3. a and c squares will end with a "1" in the units place.
4. b and c squares will end with a "6" in the units place.
5. a. 17
b. 161
6. 25
7. a. 144 + 145
b. 264 + 265
c. 480 + 481
d. 1012 + 1013
8. a, d, e
9. a. d
Step-by-step explanation:
1. is just plain calculator work
2. a. no perfect square
Property 1: A number having 2, 3, 7 or 8 at unit’s place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8.
2. b. no perfect square
Property 2: The number of zeros at the end of a perfect square is always even. In other words, a number ending in an odd number of zeros is never a perfect square.
2. c. no perfect square
the same as 2.b.
2. d. no perfect square
the same as 2.a.
2. e. is a perfect square (of 250)
3.
Property 6: The unit’s digit of the square of a natural number is the unit’s digit of the square of the digit at unit’s place of the given natural number.
for 81² : as 1²=1, therefore 81² will also end with a 1.
for 119² : as 9²=81 ends with 1, 119² will also end with a 1.
all others do not meet that criteria.
4.
again Property 6.
44² : 4²=16, therefore 44² will also end with a 6.
126² : 6² = 36, therefore 126² will also end with a 6.
5.
given a number n and its following number n+1, the difference between their squares is
(n+1)² - n² = n² + 2n + 1 - n² = 2n + 1
there cannot be any perfect square number in between n² and (n+1)², as the base number would have to be between n and n+1 (which is impossible).
a. 2×8 + 1 = 17
b. 2×80 + 1 = 161
6. as 5.
2×12 + 1 = 25
7.a.
n + n + 1 = 17²
2n + 1 = 17²
n = (17² - 1)/2 = 144
n+1 = 145
b.
2n + 1 = 23²
n = (23² - 1)/2 = 264
n+1 = 265
c.
n = (31² - 1)/2 = 480
n+1 = 481
d.
n = (45² - 1)/2 = 1012
n+1 = 1013
8.
Property 3: Squares of even numbers are always even numbers and square of odd numbers are always odd.
therefore, only 256, 1296 and 144 can be squares of even numbers.
9.
again Property 3.
therefore, only 529 and 361 can be squares of odd numbers.
a man cycles at the rate of 20km/h for 21/5 hours what distance will he cover
Answer:
16.67 km
Step-by-step explanation:
:)
Help asap
Whoever helps me I will pay you up thanks :)
Answer:
6.
2
1
3
10.9 to 1 place
7
a.) 36
b.)3
c.)65
d.)13
Step-by-step explanation:
Evaluate 16x if x = - 3.
Answer:
16×-3
-48
I hope it's helps you
Answer:
-48
Step-by-step explanation:
16(-3) = -48
Find the solution of this system of equations
4x - 5y = -12
-X + 5y = 18
4x - 5y = -12
-x + 5y = 18
Add the equations together:
4x + -x = 3x
-5y + 5y = 0
-12 + 18 = 6
So now you have:
3x = 6
Divide both sides by 3:
X = 2
Now you have the value of x, replace x with 2 in one of the equations and solve for y:
4(2) -5y = -12
8 -5y = -12
Subtract 8 from both sides:
-5y = -20
Divide both sides by -5:
Y = 4
The solution is x = 2 and y = 4 which is written as (2,4)
x-2y=-4
3x+y=9
solve the simultaneous equation (find x & y)
Which of the graphs represent y=-x^2
Answer:
Step-by-step explanation:
Can't see all the graphs, but the graph of [tex]y=-x^2[/tex] is an upside down parabola with the vertex at the origin.
Cho Hình chóp S.ABC Có đáy là tam giac đều cạch a. SA vuông góc với đáy, SA=a . Tính góc giữa SB và mặt phẳng đáy
Answer:
45 độ
Step-by-step explanation:
SA vuông góc (ABC) => góc SAB = 90 độ; góc giữa SB và mặt phẳng đáy = góc SBA
SA=AB=a => SAB là tam giác cân
KL: góc giữa SB và mặt phẳng đáy SBA = 45 độ