Answer:
24
Step-by-step explanation:
The GCD of a set of numbers is the product of the prime factors, each to the lowest of the powers it has as a factor of any of the numbers.
The LCM of a set of numbers is the product of the prime factors, each to the highest of the powers it has as a factor of any of the numbers.
__
The factorizations of the given numbers are ...
36 = 2^2 × 3^2
54 = 2 × 3^3
__
6 = 2 × 3 . . . . . . . . . . . GCD
216 = 2^3 × 3^3 . . . . . LCM
This tells us the lowest powers of 2 and 3 are 2^1 and 3^1, and the highest powers of 2 and 3 are 2^3 and 3^3. Already, the lowest power of 2 matches the GCD, and the highest power of 3 matches the LCM. What we need is a number with a power of 2 that is 3, and a power of 3 that is 1:
2^3 × 3^1 = 24
The other number is 24.
a kite is a square with sides that are 18 feet long. What is the length of the vertical stripe?
25.46 ft
Solution↷To find the vertical stripe of the kite,we'll use this formula
√2awhere,
a ⇢ length of the side of the given kiteInserting the value of 'a' ( 18ft) in the formula,
we get,
length of the vertical stripe =√2a⇢√2 x 18ftlength of the vertical stripe ⇢25.46 fthence , the length of the vertical stripe of the given square kite = 25.46 ft
Answer:
C. 648 in.
Step-by-step explanation:
how to solve (3p⁴ + 2q⁴)²
Answer:
9p⁸ + 12p⁴q⁴ + 4q⁸
Step-by-step explanation:
(3p⁴ + 2q⁴)² ⇒ The square of (3p⁴ + 2q⁴)
Squares are such bases that multiply itself two times.
⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)
Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)
⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)
⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸
We know the identity
(a+b)²=a²+b²+2abSo
[tex]\\ \rm\Rrightarrow (3p^4+2q^4)^2[/tex]
[tex]\\ \rm\Rrightarrow (3p^4)^2+(2q^4)^2+2(3p^4)(2q^4)[/tex]
[tex]\\ \rm\Rrightarrow 9p^8+4q^8+12p^4q^4[/tex]
Done
Need Help!
Sarah's bill for a meal at a Sonic is $8.99 before tax. If the tax rate is 6.2%, what is the total cost of her meal?
$9.06
$9.55
$9.60
$9.61
Answer: $9.55.
Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%. So 6.2% of $8.99 is 0.55738. We have to add 0.55738 with 8.99 to find the total cost of her meal:
8.99 + 0.55738 = 9.54738, or $9.55.
Therefore, Sarah's bill has a total of $9.55 with the tax.
Hope this helps! :)
Which is an equation of the line that passes through the points (5, 2) and (10, -3)? HELP
Answer:
y = − x + 7
Step-by-step explanation:
let D be the line that passes through the points (5, 2) and (10, -3)
Then D has an equation of the form D: y = mx + p
Now we need to find m and p in order to be able to write the equation of the line D:
[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]
Since the point (5 , 2) lies on the line D then :
2 = -1 × (5) + p
then
2 = -5 + p
then
p = 2 + 5
= 7
then
p = 7
Conclusion:
Since m = -1 and p = 7
then
[tex]D : y = -x + 7[/tex]
A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 28 students, and 5
translate the passage correctly. Section 2 has 22 students, and 8 translate the passage correctly. (See Example 3.)
(a) If one of the papers is selected at random, what is the probability that it is a correct translation? (Round your answers
to three decimal places.)
(b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?
(Round your answers to three decimal places.)
(c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? (Round
your answers to three decimal places.)
Using it's concept, it is found that the probabilities are given by:
a) 0.26 = 26%.
b) 0.179 = 17.9%.
c) 0.615 = 61.5%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item a:
8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:
p = 13/50 = 0.26 = 26%.
Item b:
5 correct translations out of 28, hence:
p = 5/28 = 0.179 = 17.9%.
Item c:
There are 13 correct translations, and of those, 8 are from section 2, hence:
p = 8/13 = 0.615 = 61.5%.
More can be learned about probabilities at https://brainly.com/question/14398287
Please help ASAP. Will give brainliest if correct!
What is 0.15...(repeating decimal) as a fraction in simplest form?
Clearly show your work.
Answer:
0.15 as a fraction in simplest form is 3/20.
Step-by-step explanation:
0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.
Answer:
0.15 as a fraction in simplest form is 3/20.
Step-by-step explanation:
0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.
Marisols bedroom has an area of 29. 76 square meters. the length of the room is 6. 2 meters. what’s is the width
Answer:
4.8 m
Step-by-step explanation:
The area of a rectangle is the product of length and width. This relation can be used to find any of the dimensions when the other two are known.
__
Here, we know area and length, so we can find width.
A = LW
W = A/L = (29.76 m²)/(6.2 m) = 4.8 m
Mariosol's bedroom is 4.8 meters wide.
What type of triangle is defined by the following set of side lengths
11, 9 , 7
Question 4 options:
Acute
Obtuse
Right
Not a triangle
Answer:
it looks like a triangle but it is not it is called a Nonigon
Denali is the highest mountain
in the United States. What is its height in meters?
Round to the nearest whole number.
Answer:
6,000 meters.
Step-by-step explanation:
Denali is 6,190 meters so round it off to 6000.
Answer: 6,200
Step-by-step explanat
Denail 6,190 and if it is 50 up then you round up and if it if 50 down then you round down. In this case it is higher than 50 cause it is 6,190 so you round up.
Therefore, the answer should be 6,200
Which function matches the graph?
A 2-dimensional graph with an x-axis and a y-axis is given. A parabolic curve is drawn whose axis of symmetry is parallel to y-axis and its vertex is at (1,-3); is passing through co-ordinates (3,1) and (-1,1).
A. f(x) = (x – 3)2 – 3
B. f(x) = (x + 1)2 – 6
C. f(x) = (x + 2)2 – 5
D. f(x) = (x – 1)2 – 3
vertex : (1,-3)
coordinates : (3,1) and (-1,1)
parabola formula : y = a(x -h)² + k
(x, y) - from the coordinates(h, k) - from the vertexso given,
h = 1
k = -3
x = 3
y = 1
solve for a:
1 = a(3 -1)² + (-3)1 = 4(a) - 34(a) = 4a = 1Therefore equation:
y = (x -1)² - 3
check the graph for confirmation:
Answer: Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Now, substitute a few more x -values in the equation to get the corresponding y -values.
x y=x2−7x+2
0 2
1 −4
2 −8
3 −10
5 −8
7 2
Plot the points and join them to get the parabola
in short terms D.
3(−2−3x)=−9x−4 how many solutions
Answer:
there are no solutions
Which of the following describes the domain of y= tan x, where n is any
integer?
O A. x≠npi
O B. x≠pi/2+npi
O C. x≠npi/2
O D. X≠27npi
Answer:
A. x≠npi is right B. x≠pi/2+npi,C. x≠npi/2,D. X≠27npi are wrong
Answer:
B. pi/2 + npi
Step-by-step explanation:
trust me brother
0.063 = 0.9 X _____
Pls answer I need ASAP
Step-by-step explanation:
[tex] \frac{0.063}{0.9} = x \\ x = \frac{0.021}{0.3} \\ x = \frac{21}{300} \\ x = \frac{7}{100} \\ x = 0.07[/tex]
This table shows values that represent an exponential function.
(See picture)
What is the average rate of change for this function for the interval from x = 1 to x = 3?
A. 3
B. 1/3
C. 6
D. 1/6
Answer:
3
Step-by-step explanation:
When you go from x=1 to x=3 you go up twice on the x-value. The y value also increases by 6 which means all you have to do is find the average.
6/2= 3
3 is the average increase between x=1 and x=3
Hope this helps!
how to i put [tex]y^{2} +20x+8y+156=0[/tex] into standard form
Answer:
y=−4+2√5(−x−7)
y=−4−2√5(−x−7)
Solve for x and round to near tenth
Answer:
Step-by-step explanation:
[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]
x = 63.9°
A normal distribution has a mean of 97 in the standard deviation of 12 find the probability that a value selected at random is in the following interval: at least 85
Answer:
the answer is not you or anything is not
The image shows lines AB and CD.
Are the 2 lines parallel? Explain or show your reasoning.
No
Step-by-step explanation:To classify the lines as "parallel", the distance between both x-intercepts must be equivalent to the distance between both y-intercepts. In this case, the lines are not parallel because the distance between both y-intercepts is different than the distance of both x-intercepts.
Distance between two y-intercepts: 4 unitsDistance between two x-intercepts: 5 unitsSince 4 ≠ 5, the lines are not parallel.
Answer:
No, the lines are not parallel.
Step-by-step explanation:
Parallel lines have the same slope.
Therefore, find the slopes of both lines and compare.
Slope formula
[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}[/tex]
Line AB
A = (0, 6)
B = (8, 0)
[tex]\implies \sf slope=\dfrac{0-6}{8-0}=-\dfrac34[/tex]
Line CD
C = (-3, 4)
D = (0, 2)
[tex]\implies \sf slope=\dfrac{2-4}{0-(-3)}=-\dfrac23[/tex]
As the slopes of the 2 lines are different, the lines are not parallel.
The following are the temperatures in °C for the first 10 days in January:
-0.1, 3.5, 6.4, 3.8. 4.7, 76, 4.7, 8.1, -1.8, -8
Calculate the range.
Give your answer as a decimal.
Answer:
84.0
Step-by-step explanation:
Range: Highest value - lowest value
Highest value: 76
Lowest value: -8
= 76 - (-8)
= 84
= 84.0
Evaluate (8+t)^3 - 6 minutes when T=2
Answer:
994
Step-by-step explanation:
Answer:
994
Step-by-step explanation:
Given the expression
[tex](8+t)^{3}-6[/tex]
Also given
[tex]t=2[/tex]
We can substitute 2 for t.
[tex](8+2)^{3}-6[/tex]
Do the parenthesis first.
[tex]8+2=10[/tex]
Therefore
[tex]10^{3}-6[/tex]
Evaluate [tex]10^{3}[/tex]
[tex]10^{3}=1000[/tex]
[tex]1000-6=994[/tex]
They are 1,236 oysters in a tub. If Lee gives Chris half of her oysters how many will remain in the tub?
Answer:
618
Step-by-step explanation:
half means you divide by 2.
so 1,236/2=618
hope this helps
Answer:
618 oysters
Step-by-step explanation:
Given :
1,236 oysters in a tubGives Chris half of her oystersSolving :
half refers to dividing the number of oysters by 2 or multiplying by 1/2⇒ 1,236 / 2⇒ 618 oysters remainFind the slope and the y-intercept of the linear equation: 2x+y=7
slope: 7; y-intercept: 2
slope: 2; y-intercept: 7
slope: -2; y-intercept: 7
slope: 1/2; y-intercept: 7
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Reorder 7 7 and −2x - 2 x . Using the slope-intercept form, the slope is −2 .
Can someone help me on this question
Answer:
D
Step-by-step explanation:
as shown, the angles are equal. You can assume that x also follows that rule.
Akeelah makes lanyards for her friends. She uses 12 feet of cord to make a
total of 6 lanyards. Which expresses the unit rate for the length of cord
needed to make one lanyard?
Answer:
2 feet of cord
Step-by-step explanation:
Hey there!
In order to find out what the length of cord needed to make one lanyard, we need to take into consideration how much cord she needed to make for 6 lanyards
It says that she used 12 feet of cord to make 6 lanyards meaning that for one lanyard, she used 2 feet feet of cord to make one lanyard
To find that out, all you need to do is divide the two numbers together to find out how much cord was needed to make one lanyard
So Akeelah needs 2 feet of cord to make one lanyard
what is the value of 25.761-17.49
Answer - 25.761-17.49=?
Then,
the answer is 8.271
Tom has 5 green cubes for every 3 yellow cubes. He has 16 cubes in total. Draw a diagram to represent please help me
10 green cubes and 6 yellow cubes
hope it helps...!!!
Write an equation for the line in slope intercept form
Answer:
[tex]y=-\frac{3}{4}x+4[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Use two points on the line to find the slope (m)
(4, 1) and (-4, 7)
[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]
y = mx + b
[tex]y=-\frac{3}{4}x+b[/tex]
Now we find b, using either (4, 1) or (-4, 7)
(4, 1)
[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]
[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]
Check your answer using either of the points:
[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]
This statement is true
Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]
Hope this helps!
An item is regularly priced at $25 . It is now priced at a discount of 60% off the regular price. What is the price now?
Step-by-step explanation:
sp = mp-d%*mp
= $25-60/100*$25
=$10
now the price of an item is $10.
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already, and step by step, NO LINKS
Answer:
Graphed verison:
See screenshot below! :^)
Solution version:
[tex]x > \frac{5}{4}y+5[/tex]
Step-by-step explanation:
For graphed verison:
See screenshot below.
For solution version:
[tex]4x-5y > 20[/tex]
Step 1: Add 5y on each side:
[tex]4x-5y+5y > 20+5y[/tex]
[tex]= 4x > 5y+20[/tex]
Step 2: Divide both sides by 4:
[tex]\frac{4x}{4} > \frac{5y+20}{4}[/tex]
[tex]= x > \frac{5}{4}y + 5[/tex]
Therefore, your answer is [tex]x > \frac{5}{4}y + 5.[/tex]
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/15/2022 at 10:43 PM
(To avoid plagarism, by users whom decide to copy.)
This is technically geography! But pls help! it's due soon! I'm offering 50 points!!
Answer:
(26 points for an answer... but anywho...)
Step-by-step explanation:
Hot air balloon: (20E, 10N)
Plane: (20E, 20S)
Whale: (10E, 20N)
Ship: (20W ,10S)
Bridge: (10W ,20S)
Truck: (15W, 20N)
I hoope this helps :)
Answer:
i wrote each one in explanation although you may need to add your WNSE labels. hope this helps.
Step-by-step explanation:
Hot air balloon (20,10)
Plane (20,20)
whale(10,20)
ship (20,10)
bridge (10,20)
truck(15,20)