Answer:
[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]
Step-by-step explanation:
(1) [tex]14n^2, 35n^4[/tex]
[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]
(2)[tex]21n^3, 18n^2[/tex]
[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]
(3) [tex]7n^2, 9[/tex]
The two terms are co-prime. Therefore their GCF is 1.
What is the value of s?
units
0
5
В
8
15
S
D
Consider the triangle ABD,
Here,
AB = 5
BD = 15
AD = s
As we know,
In a triangle, the sum of lengths of two sides is greater than the third side.
So,
[tex]5 + 15 > s[/tex]
[tex]15 + s > 5[/tex]
[tex]s + 5 > 15[/tex]
Now,
To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19
Answer: the value of s is 17 units
Step-by-step explanation: youre welcome
Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged in a
square grid (see map). They are both standing at the corner of 6th avenue and L street. Doug can run at an average speed of 30
mi/hr through the streets of Salt Lake, and Bert can fly at an average speed of 20 mi/hr. They are about to race to the corner of
10th avenue and Estreet. who would win and why?
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer:
Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.
Step-by-step explanation:
Each city block is a square 1/16 mile by 1/16 mile.
From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.
leg1 = 4 * 1/16 mile = 0.25 mile
leg2 = 7 * 1.16 mile = 0.4375 mile
The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.
a^2 + b^2 = c^2
(0.25 mile)^2 + (0.4375 mile)^2 = c^2
c = 0.50389
The direct distance from one corner to the other is 0.50389 miles.
The bird travels this distance since the bird can fly above the streets.
The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles
Now we need to see what takes less time:
Bird: distance of 0.50389 miles at 20 mph, or
Dog: distance of 0.6875 miles at 30 mph
We start with the formula for speed:
speed = distance/time
s = dt
Now we solve it for time:
st = d
t = d/s
Time equals distance divided by speed.
Now we find the times for the bird and for the dog.
Bird:
t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes
Dog:
t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes
The bird takes 1.51 minutes, and the dog takes 1.38 minutes.
The dog takes less time to get there, so the dog wins.
Write the equation of the circle P graphed below.
What is the volume of the pyramid h=9.6 l=8.5 w=8.5
Answer:
V = 231.2
Step-by-step explanation:
v = (l * w * h )/3
Answer:
V ≈ 231.2
Step-by-step explanation:
Using the formula: V = 1/3 x L x W x H
Find the value of X
X=
Part B
Find the measure of RPS
A. 45
B. 36
C. 60
D. 64
Answer:
x=8
RPS = 36
Step-by-step explanation:
QPS = 180
The two angles that form QPS
QPR + RPS = 180
7x+88 + 3x+12 = 180
Combine like terms
10x+100 =180
Subtract 100 from each side
10x = 180-100
10x = 80
Divide by 10
x =80/10
x = 8
RPS = 3x+12
= 3(8)+12
24+12
36
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
What is the range of the relation?
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
{-4, -4,-3, 1}
{-4, -3, 13
{1, 1, 3, 4]
{1,3,4
So the right answer is of option D.
Look at the attached picture..
Additional Information:
The second components of a relation is called range
Hope it will be helpful to you. .
The range of the function is {-4, 4, -3, 1}.
What is the range of the function?The range of a function is a set of all its possible outputs.
The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.
The given relation is;
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
The range of a function refers to the entire set of all possible output values of the dependent variable.
The range of a function is a set of all its possible outputs.
The range of the function is {-4, 4, -3, 1}.
Learn more about the range here;
https://brainly.com/question/393946
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Which function describes the graph shown below?
On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half
Answer: A
Step-by-step explanation:
The amplitude is .5 and the vertical translation is -2. So, y= 1/2sin(x)-2
Answer:
A. y= 1/2 sin(x)-2
Step-by-step explanation:
Correct in edge 2021!
Which statement about the credibility of this source is most accurate ? A.
Answer:
C. The source is credible because it contains facts and information that are accurate.
Step-by-step explanation:
The statistics(60%) used provide facts on the topic that make the source credibleA rectangle has a height of 7a^2 and a width of a^4+5a^2+4.
Express the area of the entire rectangle.
help please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4 feet by 3 feet
Step-by-step explanation:
I hope this helped you out
Find the interquartile range (IQR) of the data in the box plot below.
Asap ASAP Please PLZ
Answer:
3
Step-by-step explanation:
IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3
The interquartile range (IQR) of the data in the given box plot is: 3.
What is the Interquartile Range (IQR) of a Data?In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.
Upper quartile = 7Lower quartile = 4Interquartile range (IQR) = 7 - 4
Interquartile range (IQR) = 3
Learn more about Interquartile range (IQR) on:
https://brainly.com/question/17083142
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Please help
Find answer Asap and I will mark as brainliest!!
Answer:
3 units.
Step-by-step explanation:
If you view the triangle face in halves, the bottom leg is units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.
100 to anyone who can answer all of these !!!
Answer:
24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.
Step-by-step explanation:
NEED HELP ASAP
Find the volume of the cylinder. r measures 7 inches, height measures 8 inches
Answer:
1230.88
Step-by-step explanation:
Volume= pi(r^2)h
Volume=3.14(49)(8)
Volume=1230.88
Which set of side lengths is a Pythagorean triple?
A) 1, 3, 10
B) 4, 5, 9
C) 9, 40, 41
D) 16, 30, 44
Answer:
A 1,3,10
Step-by-step explanation:
3, 4, 10. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.
Find the value of x and y
Answer:
x=24 y=19
Step-by-step explanation:
2y=y+19
y=19
2x-8=x+16
x=16+8
x=24
Answer:
x = 24
y = 19
Step-by-step explanation:
Set the expressions with the x-variables together, and the y-variables together, like so:
2x - 8 = x + 16
Subtract x from both sides:
x - 8 = 16
Add 8 to both sides:
x = 24
Solving for y:
2y = y + 19
Subtract y from both sides:
y = 19
Which of the situations describes a temperature of –2 degrees?
2 degrees colder than 1 degree
2 degrees colder than 0 degrees
2 degrees warmer than 1 degree
2 degrees warmer than 0 degrees
Answer:
B
Step-by-step explanation:
Find the missing angle measurements
Answer:
The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/
Step-by-step explanation:
If I have a probability of 2/5, what is the percentage of probability.
A. 52%
B. 40%
C. 2.5%
D. 80%
Answer: 40%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (2)(100) which is 200 is equal to (5)(n) or 5n.
So we have 200 = 5n.
Next, dividing both sides of the equation by 5, we have 40 = n.
So 2/5 is equal to 40/100 or 40%.
The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits and is replaced with a person earning $8 per hour. The graph of the resulting salaries is shown in plot 2. A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 15, and the box ranges from 8.8 to 10.2. A line divides the box at 9.5. Plot 1 A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 11, and the box ranges from 8.7 to 10. A line divides the box at 9.6. Plot 2 How does the mean and median change from plot 1 to plot 2? The mean and median remain the same. The mean decreases, and the median remains the same. The mean remains the same, and the median decreases. The mean and median decrease.
Answer:
The mean decreases, and the median remains the same.Step-by-step explanation:
Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.
In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.
Now, the range of the data set decreases from 7 to 3.
On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.
Therefore, the right answer is The mean decreases, and the median remains the same.
Answer:
the awswer is b
Step-by-step explanation:
took the test
PLEASE HELP 35 POINTS!!!!!!
In two or more complete sentences discuss the advantages and disadvantages of investing in a 529 plan versus investing in a money market account.
Answer:
Step-by-step explanation:
A 529 plan (Qualified tuition plan) is a tax-advantaged savings plan for future education costs while a money market account refers to a investment or a deposit with a financial institution that earns interest based on the current rates.
Money market deposit accounts are better choices than 529 plan for money you might need to tap at a moment’s notice to cover an emergency or an unexpectedly large expense. They pay higher interest than ordinary savings accounts and give you immediate access to your money
While in 529 savings plan, If you don’t use the money invested for college tuition, you will be penalized 10 percent when you withdraw the money to use it for something else. In addition, both your state and the federal government will tax the earnings on your account in your current tax bracket.
The basic advantage of 529 plan over money market account is the tax-advantage that is the amount invested or withdrawn is tax free. It also has high return and funds from it can be used for another beneficiary who is a qualified family member. Whereas the disadvantage is that the 529 plan is a specified fund for future education purposes. This makes it restricted as the fund can not be transferred for a different use. Unlike the money market account whose use is not restricted. It can be withdrawn to meet diverse financial needs including education. More so, funds in the money market account are insured and can be easily accessed.
In essence, the 529 plan is a specific investment while a money market account is more general in nature.
Answer:
im grounded bc i cheated with this
Step-by-step explanation:
Can someone helpppppppppp
Answer:
A
Step-by-step explanation:
The reason it is A is because
It goes in biggest to lowest A B C D
C and B don't follow that so we are left with A and D
In answer D C and B are too close in percentage therefore it cannot be D
Therefore your answer is A
Hope this helped!
Need Help Please, Stressing out :( and Thank you:)
Answer:
please don't be stressed :)
2. c
Step-by-step explanation:
2. if 1,000 is one kilogram then 1,412 = 1.412.
sorry i could only answer 1 but hope this helps
Find the length of arc KN.
can a genius help me??please
Answer:
Length KN = 2π/3 = 2.094
Step-by-step explanation:
Length KN = (mKN/360)2πr
Length KN = (40/360)2π3
Length KN = (1/9)6π
Length KN = 6π/9
Length KN = 2π/3 = 2.094
Does the function model exponential growth or decay?
h(t) = 0.25 - 1.5t
A.) growth
B.) decay
Answer: it’s growth
Step-by-step explanation:
The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?
Answer:
19
Step-by-step explanation:
you divide 266 by 14
Answer:
19
Step-by-step explanation:
266 ÷ 14 = 19
4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?
Answer:
The value of x is 2
Step-by-step explanation:
Diameter = 2r -------------------------------------------------------------------(1)
where r is the radius
The value of the diameter = 32 m and radius is given to be 4(x+2)
substitute the above into equation (1) and then solve for x
32 = 2 [ 4(x + 2)]
first open the inner bracket
32 = 2[4x + 8}
then open the outer bracket
32 = 8x + 16
subtract 16 from both-side of the equation
32 - 16 = 8x +16 - 16
16 = 8x
Divide both-side of the equation by 8
16/8 = 8x/8
2 = x
x = 2
Therefore, the value of x is 2
Amy must choose a number between 55 and 101 that is a multiple of 3, 6, and 7. Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answer:
84
Step-by-step explanation:
L.C.M. of 3,6,7=42
42×1=42
42×2=84
42×3=126
55<84<101
Which ordered par Woud form a proportional relationship with the point graphed Below?
A (10,10)
B (25,35)
C (70,50)
D (90,60)
