Answer:
hope this helps :D
Step-by-step explanation:
Perfect cube factors:
If a number is a perfect cube, then the power of the prime factors should be divisible by 3.
Example 1:Find the number of factors of293655118 that are perfect cube?
Solution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube 4x3x2x3=72
Perfect square and perfect cube
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.
Example 2: How many factors of 293655118 are both perfect square and perfect cube?
Solution: If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are 2x2x1x2=8
Example 3: How many factors of293655118are either perfect squares or perfect cubes but not both?
Solution:
Let A denotes set of numbers, which are perfect squares.
If a number is a perfect square, then the power of the prime factors should be divisible by 2. Hence perfect square factors must have
2(0 or 2 or 4 or 6 or 8)—– 5 factors
3(0 or 2 or 4 or 6) —– 4 factors
5(0 or 2or 4 )——- 3 factors
11(0 or 2or 4 or6 or 8 )— 5 factors
Hence, the total number of factors which are perfect square i.e. n(A)=5x4x3x5=300
Let B denotes set of numbers, which are perfect cubes
If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are i.e.n(A∩B)=2x2x1x2=8
We are asked to calculate which are either perfect square or perfect cubes i.e.
n(A U B )= n(A) + n(B) – n(A∩B)
=300+72 – 8
=364
Hence required number of factors is 364.
2. Moore has 20 songs. His friend bought him M more
songs. Write an expression that shows how many songs
Moore has now.
Answer:
20+m
Step-by-step explanation:
Answer:
20+m=?
Step-by-step explanation:
if moore already has 20 songs and his freind brought m more books then we would need to find the total amount of books more has now.
Are these triangles similar? If yes, write a similarity statement.
Can anyone help me plz?
Answer:
[tex] y = \frac{1}{4}x + 1 [/tex]
Step-by-step explanation:
Line is passing through the points (0, 1) & (4, 2)
Slope of line = (2 - 1)/(4 - 0) = 1/4
y-intercept (b) = 1
Equation of line in slope-intercept form is given as:
[tex]y = mx + b \\ \\ y = \frac{1}{4}x + 1 [/tex]
Answer:
[tex]y = \frac{1}{4}x + 1[/tex]
Step-by-step explanation:
Slope intercept form allows one to write an equation for a line from only the y-intercept and the slope, so we need to identify those two things.
The slope is simply [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]=>[tex]\frac{2-1}{4-0}[/tex]=> 1/4
The slope intercept is the y value when x = 0, and since we have the point (0,1), the y-intercept must be 1
The equation is: y = mx + b where m is the slope and b is the intercept so the final equation is:
[tex]y = \frac{1}{4}x + 1[/tex]
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
find the area 36in 40in 50°
Answer:
770in2
please brain or heart me im about to level up
The question is on the problem no links please I will give brainliest
Answer:
54 cm ^ 2, 75.6 cm ^ 2, 129.6 cm ^ 2
Step-by-step explanation:
Equation for a triangle is A = (1/2) * b * h
Area of small triangle on the left: 0.5 * 9 * 12 = 54 cm ^ 2
Area of small triangle on the right: 0.5 * 12.6 * 12 = 75.6 cm ^ 2
Area of entire triangle: 54 + 75.6 = 129.6 cm ^ 2
Please help give me the brainliest answer
Answer:
±[tex]2\sqrt{6}i[/tex]
Step-by-step explanation:
±√24
±√-1 √24
±√24 i
±2√6 i
what is the area of the composite figure
Answer:
D) 476 ft²
Step-by-step explanation:
12x14=168
(25+31)/2=28
28x11=308
308+168=476
HELP TIMED URGENT PLS
Answer:
3 cm!
Step-by-step explanation:
Volume= length times width times height
90/3=30
30/10=3!
The sales tax rate is 5%. If Carmen buys a fountain priced at $329.97, how muchztax will
she pay?
Round your answer to the nearest cent: $
Answer:
$16.50
Step-by-step explanation:
Take the total price, convert the percentage to a decimal and multiply the two together.
329.97*0.05=16.498
Round to the nearest cent.
$16.50
Answer:
346.47
Step-by-step explanation:
the equation is: 329.97 * 5/100 + 329.97
= 16.4985 +329.97=346.4685
rounding to the nearest cent we get 346.47
Some one help please
Answer:
subtracting 14 from sides of the number sentence
Step-by-step explanation:
14 + n = 84
Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.
Answer: subtracting 14 from sides of the number sentence
I need this today plz help
Answer:
the answer is either A or C
Step-by-step explanation:
I'm not sure if it's going from Triangle O to Triangle N
Or if its going from Triangle N to O
Its says in question 4 tue horizontal translation is A right.?
Answer:
Here we have:
g(x) = 3*f( 2*x - 2) - 1
We want to know the horizontal translation used here.
We need to discuss two types of transformations here.
horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is negative, the translation is to the right.
if N is positive, the translation is to the left.
Horizontal dilation.
For a function f(x) an horizontal dilation of scale factor k is written as:
g(x) = f( x/k)
You can see that in our function we have both of these transformations.
Because we compare the translation with f(x), we assume that the horizontal translation is the first thing we did, then we must have
translation:
g(x) = f(x + N)
and now a horizontal dilation of scale factor k
g(x) = f( (x + N)/k)
Then we must have that the argument of the above function is the same as the argument of the given function.
(x + N)/k = 2*x - 2
then:
k = 1/2
(x + N)/1/2 = 2*x + 2*N = 2*x - 2
2*N = -2
N = -2/2 = -1
This means that we have a translation of 1 unit to the right.
You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the total prrcentage discounted?
hbngfthjhuiuttyui
Step-by-step explanation:
yiutujhyyiiyttthhuijc
Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.
Answer:
a) There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
b) False
Step-by-step explanation:
Statement : ∀a ∈ Z, (a − 1) a is not an integer
A) The correct negation will be :
There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
B) The Given statement is FALSE because
when we assume the value of a = 1
( a - 1 ) / a = (1 - 1 ) / 1 = 0 ; which is an integer
The periscope of a submarine is at sea level. The boat captain spots an airplane with
an elevation angle of 30°. The airplane is flying at an altitude of 2000 feet.
The straight line distance between the submarine and the airplane is...
Answer:
The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...
7 pages·477 KB
The straight line distance between the submarine and the airplane is 4000 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the straight line distance between the submarine and the airplane. Hence:
sin(30) = 2000/d
d = 4000 feet
The straight line distance between the submarine and the airplane is 4000 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
Find a value of k such that kx2 + 12x − 4 = 0 has one real-number solution. Explain.
Answer: if x is to the 2 power then
kx^2+12x-4=0 Add 4 to the both sides
kx^2+12x=4 Divide both sides by 12
kx^2=1/3x square root the both sides
k=0.6x
Step-by-step explanation:
Wendy wants to run 3 miles. Each lap around the track at her school is 1··8 mile. Wendy wants to figure out how many laps she needs to run.
Answer:
1.6 laps
Step-by-step explanation:
Simply divide 3 over 1.8 to get the number of laps.
Help asap
Find the value of x. Round to the
nearest tenth.
3
4
X =
= [?]
Answer:
36.9°
Step-by-step explanation:
→ Identify the triangle required by seeing which side is not given
Hypotenuse is not given so we need to use Tan⁻¹ = Opposite / Adjacent
→ Substitute values in
Tan⁻¹ = ( 3 ÷ 4 )
→ Simplify
36.9°
What is the total surface area of a rectangular prism whose net is shown 19 in. 17in. 6.in.
Answer:
1078in
Step-by-step explanation:
Surface area =2(wl+hl+hw)
2·(17·19+6·19+6·17)=1078in
Sheldon spent $42 on cookies. If each box cost $6, which equation will tell you how many boxes of cookies Sheldon bought?
Answer:
42 multpliy by 6
Step-by-step explanation:
Sheldon bought 7 boxes of cookies if he spent $42 on cookies.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of one box of cookies = $6.
And total amount spent by Sheldon on cookies = $42.
Let Sheldon bough x boxes of cookies.
To find the number of boxes of cookies x,
Use ratio property,
Cost of one box of cookies = $6
Cost of x boxes of cookies = $6x
Total price = 42
6x = 42
x = 7
The required number of boxes of cookies is 7.
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ2
50 POINTS!! URGENT !! PLS HELP
Answer:
Option C
Step-by-step explanation:
The two triangles will be similar if the ratio of their corresponding sides are proportional. Let's check this ,
1st side :-
= 8:3
2nd side :-
= 10 : 4 = 5:2
3rd side :-
= 6:5 .
Since the ratio of the sides of triangle are not same therefore that 2 triangles are not similar .
Option C is correct .
Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)
Answer:
Step-by-step explanation:
Remark
This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.
Equation
(f - g)x = f(x) - g(x)
Solution
(f - g)x = 9 - x - (3 - x) remove the brackets
(f - g)x = 9 - x - 3 + x
(f - g)x = 6
Help me please and thank
Answer:
Step-by-step explanation:
well just go throught the factors as far as you can ik from my personal mindset that 14*14= 196 so if i go bk and calculate 13*13=169 which means its gonna be in between 13 and 14. so to figure this out we have to write it out. so we can try 13.5*13.5=182.25 so we have to go higher 13.89*13.89=192.9321 which means it has to be 13.89 rounded to the nearest hundreth.
Of the 31 teachers at Keenan's high school, 14 are female. What is the ratio of the number of female teachers to the number of male teachers?
Answer:
The answer is 14:17
Step-by-step explanation:
31-14 is 17 and 14 are female and 17 are male so we do 14:17
How many plants spaced every 6" are needed to surround a circular walkway with a 25' radius
Answer:= 2 × 3.14 (25)
= 157.
circumference of circle feet is 157 × 12 inches.
Step-by-step explanation:
consider the following formula to find the circumference of circle
C= 2^_r
here r is radius of circle
the radius of circular is 25 ft.
Therefore circumference is as follows
C = 2^_r
What’s the volume of 9 cm 6 cm 4 cm
Answer:
bro tell me the shape
Step-by-step explanation:
-2y + x +
3
How many terms are in the expression
Answer:3
Step-by-step explanation:
During the Falcons game, Julio Jones ran a straight route 40 yards up the sideline before turning around and catching a pass from Matt Ryan. Defender, Malcolm Butler, who started 20 yards across the field from Jones, saw the play setup and ran horizontally toward the receiver. What was the distance the defender had to run to get to the spot where Jones caught the ball? (PLS DONT GIVE WEBSITE PLS JUST ANSWER)
Answer:
its 20 because he ran 20 from jones
Medication is prescribed in 8 out of every 10 hospital emergency room visits that involve an injury. If a large urban hospital had 660
emergency
room visits involving an injury in the past month, how many of these visits would be expected to include a prescription for
medication?
About
emergency room visits would be expected to include a prescription for medication.
Answer:
I don't know thats hard um well yeah
