Answer:
24 dragonsExplanation:
Any multiple of 3 and 4 shall blow clouds of smoke through its nostrils and breathe fire. Those are:
the 12th, the 24th, the 36th, the 48th, the 60th, the 72nd, the 84th, and the 96th dragons.Hence, that is 8 dragons that shall have both characteristics.
Any multiple of 6 shall have glowing eyes. The common multiples of 6 and 3 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.
Then, that adds:
the 6th, 18th, 30th, 42nd, 54th, 66th, 78th, and the 90th dragons:Hence, add 8 more dragons.
And the common multiples of 6 and 4 are: 12, 24, 36, 48, 60, 72, 84, and 96, all of which are already included.
Any multiple of 8 shall have a tail with spikes on it. Then, you must find the common multiples of 8 and 3, 8 and 4, and 8 and 6.
Common multiples of 8 and 3 are: 24, 48, 72, and 96, which are already included.
Common multiples of 8 and 4 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and 96. Then, you must add:
the 8th, the 16th, the 32th, the 40th, the 56th, the 64th, the 80th, and the 88th.Those are other 8 dragons.
At the end the number of dragons that shall have more than one of these characteristics is:
8 + 8 + 8 = 24
Final answer:
By calculating the least common multiples (LCMs) of the intervals for the dragon's characteristics and considering the first 100 dragons, we find that there will be 12 dragons with overlapping features.
Explanation:
Sir Dwayne at the King's Toy Factory is tasked with creating dragons with characteristics that occur at different intervals. Specifically, every 3rd dragon billows smoke, every 4th breathes fire, every 6th has glowing eyes, and every 8th has a spiked tail. We are asked to calculate how many of the 100 dragons will have more than one of these features.
To solve this problem, we need to consider the least common multiples (LCMs) between the provided intervals: 3, 4, 6, and 8. The LCM of any two numbers is the smallest number that is a multiple of both numbers. We'll find the number of dragons that have characteristics occurring at multiple intervals (overlapping features).
LCM of 3 and 4 is 12, so every 12th dragon will both billow smoke and breathe fire.LCM of 3 and 6 is 6, so every 6th dragon will both billow smoke and have glowing eyes (this is not a new interval since 6 is a multiple of 3).LCM of 3 and 8 is 24, so every 24th dragon will billow smoke and have a spiked tail.LCM of 4 and 6 is 12, so every 12th dragon will breathe fire and have glowing eyes (also not new).LCM of 4 and 8 is 8, so every 8th dragon will breathe fire and have a spiked tail (this interval is covered by 8).LCM of 6 and 8 is 24, so every 24th dragon will have glowing eyes and a spiked tail (also not new).We must not forget to find the LCM for all three and four characteristics together, if any, to see if there is any dragon with three or all four features:
LCM of 3, 4, and 6 is 12.LCM of 3, 4, and 8 is 24.LCM of 3, 6, and 8 is 24.LCM of 4, 6, and 8 is 24.LCM of 3, 4, 6, and 8 is 24.Since the highest LCM (which covers all the characteristics) is 24, and we are making 100 dragons, we can divide 100 by 24 to find how many dragons would have all four characteristics. This results in 4 dragons with some remaining. Now, we'll consider all unique multiples of our LCMs up to 100 and sum them up, taking care not to double-count any dragons:
There are 8 multiples of 12 up to 100 (12, 24, ..., 96).There are 4 multiples of 24 up to 100 (24, 48, 72, 96).Note that every multiple of 24 is also a multiple of 12, which means these have already been counted. So, we only count the additional multiples of 12 that are not multiples of 24.
Counting all the unique multiples, we have: 8 (from LCM 12) + 4 (from LCM 24) = 12 dragons. Thus, Sir Dwayne will make 12 dragons having more than one of these characteristics.
4 part diagram. Part A: Earth between and Sun on left and Moon on right. Arrows point from Earth to Sun and Moon, respectively. Part B: Earth with Sun on left and Moon below. Arrows point from Earth to Sun and Moon, respectively. Part C: Moon between Earth and Sun. Arrow points from Earth through Moon to Sun. Part D: Earth with Sun on left and Moon above. Arrows point to Sun and Moon, respectively.
Use the drop-down menus to choose the correct answers
Answer:
Earth sees a full moon in A
Neap tides occur in D and B
Earth sees a third quarter moon in D
Tide levels are highest in A and C
Therefore, the solution to the problem is as follows -
Earth sees a full moon in A.Neap tides occur in D and B.Earth sees a third-quarter moon in D.Tide levels are highest in A and C.Know more about the sun here:
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Emily, a makeup artist, wants to be what artists in the movie business call a key makeup artist. This is how she describes the job.
“A key makeup artist has an important job in the movies. She designs a different look for every actor on the movie set. She must be exceptionally creative and aware of the latest technology.”
Which prepositional phrase in this paragraph modifies an adverb?
A. in the movies
B. for every actor
C. on the movie set
D. of the latest technology
Answer:
The Answer is D
Step-by-step explanation:
None of the prepositional phrases in the paragraph modify an adverb. They either modify a noun or a verb.
Explanation:In understanding this question, a prepositional phrase is a group of words consisting of a preposition, its object, and any words that modify the object. On the other hand, a adverb is a word that modifies a verb, an adjective, or another adverb.
The prepositional phrases in the paragraph include 'in the movies,' 'for every actor,' 'on the movie set,' and 'of the latest technology.'
Examining these closely, it is easy to see that none of these prepositional phrases modify an adverb—they either modify a noun or a verb. Therefore, there are no prepositional phrases in this paragraph that modify an adverb.
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What is the equation of the line that is perpendicular to the
given line and has an x-intercept of 6?
y=-3/4x+8
y=-3/4x+6
y=4/3x-8
y=4/3x-6
Answer:
i think it is th 3rd one
Step-by-step explanation:
Answer:
the answer is c)y=4/3x-6
Step-by-step explanation:
yayayayyayaya
there are a total of 10 pigs and ducks in the barn. there are 36 legs in all all each pig has four legs and each duck has two legs , use substitution to solve the linear system of equations and determine how many pigs x and ducks y there are express the solutions as as ordered pairx,y
Answer:
A Farmhouse shelters 10 animals. some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there? Answer: 8 pigs and 2 ducks.
1. (A) p + d = 10
2. (B) 4p + 2d = 36
3. Multiply equation (A) with -2; -2p minus -2d = -20
4. When subtracted from equation (B), this gives you.. 2p = 16, pigs = 8
5. Use this 8 to the second equation by substitution.. 2d = 4, ducks = 2
Step-by-step explanation:
Two math classes are selling raffle tickets to raise money.
• One class is selling tickets for $3.50 each and has already raised $550.
• The other class is selling tickets for $5.00 each and has already raised $250.
Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?
A) 5.00t + 550 = 3.50t + 250
B) 550t + 3.50 = 250t + 5.00
C) 3.50t + 550 = 5.00t + 250
D) 3.50 + 550 = 5.00t + 250t
Answer:
3.50t + 550 = 5.00 + 250 bc well always remember that each means Multipy!
THI VIOS
Lin needs to mix a specific shade of orange paint for the set of the school play.
The color uses 3 parts yellow for every 2 parts red.
Answer:
2/3
Step-by-step explanation:
Each time 2 parts of red is being used, 3 parts of yellow is used. The yellow depends on the red so 2/3.
In RST, X is the midpoint of RS and Y is the midpoint of RT. Given that XY = 3z + 2 and ST = 7z - 1, what is the value of z?
Answer:
Step-by-step explanation:
XY=ST/2
3z+2=(7z-1)/2
2*(3z+2)=7z-1
2*3z+2*2=7z-1
6z+4=7z-1
+1 +1
6z+5=7z
-6z -6z
5=z
The required value of z is 5.
Given that,
In RST, X is the midpoint of RS,
And Y is the midpoint of RT.
XY = 3z + 2 and ST = 7z - 1.
We have to determine,
What is the value of z.
According to the question,
X is the midpoint of RS,
And Y is the midpoint of RT.
Therefore,
[tex]XY = \frac{ST}{2}[/tex]
Putting the value of XY and ST in the equation,
XY = 3z + 2 and ST = 7z - 1.
Then,
[tex]XY = \frac{RS}{2} \\\\3z+ 2 = \frac{7z-1}{2}\\\\2 \times(3z+2) = 7z-1\\\\= 6z+4= 7z-1\\\\6z-7z = -1-4\\\\-z = -5\\\\= z = 5[/tex]
Hence, The required value of z is 5.
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What is the degree of the polynomial below?
5+1 – 34 + 3х9 - 2х
a) 3
b) 9
c) 5
d) 4
Please help!
The isosceles triangle below is rotated along the blue dashed line going through the center. Find the volume of the cone formed by doing this rotation. Round your answer to the nearest tenth.
Answer:
47.1
Step-by-step explanation:
Sorry if its wrong
The cone's volume is approximately 47.1 cubic centimeters, obtained by rotating the provided isosceles triangle along its central blue axis.
The volume of a cone is calculated by the following formula:
[tex]$V = \frac{1}{3}\pi r^2 h$[/tex]
where r is the radius of the base and h is the height of the cone.
In this case, the height is simply the height of the triangle, which is 5 cm.
The radius is a bit trickier.
Notice that the blue dashed line bisects the base of the triangle. Therefore, the radius is half the length of the base, which is 6 cm / 2 = 3 cm.
Substituting these values into the formula, we get:
[tex]$V = \frac{1}{3}\pi (3\text{ cm})^2 (5\text{ cm})$[/tex]
[tex]$V = 15\pi \text{ cm}^3$[/tex]
Rounding this to the nearest tenth, we get:
[tex]$V = 47.1 \text{ cm}^3$[/tex]
Therefore, the volume of the cone is approximately 47.1 cubic centimeters.
Explain how to determine if the two expressions are equivalent using x = 6 and x = 2.
2x + 4 – 1 3 + x + x
Answer:
Well, if you substitute 2 and 6 on the first expression, the answer you get when x=2 is half of what you get when x=6
But for the second expression, the answers are not equivalent
Answer:
If both expressions have the same value after substituting and simplifying for x = 6 and x = 2, then they are equivalent. The value of both expressions is 15 when x = 6. The value of both expressions is 7 when x = 2. So, the expressions are equivalent
Step-by-step explanation:
for the people who has ads
How would you multiply a binomial by a trinomial?
Step-by-step explanation:
Multiply one of them by each of the terms in the other, then distribute. Finally, combine like terms.
(ax + b) (cx² + dx + e)
ax (cx² + dx + e) + b (cx² + dx + e)
acx³ + adx² + aex + bcx² + bdx + be
acx³ + (ad+bc) x² + (ae+bd)x + be
Consider the functions:
f(x) = x2
g(x) = (x + 1)2 – 2
h(x) = (x + 3)2 + 4
Which statement describes the relationship between the minimums of the functions?
a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).
b The minimum of g(x) is in the fourth quadrant. The minimum of h(x) is in the first quadrant.
c The minimum of g(x) is farther right and down than the minimum of f(x) and h(x).
d The minimum of g(x) is in the second quadrant. The minimum of h(x) is in the first quadrant.
Answer:
a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x)
Step-by-step explanation:
To know the relation between the minima of the functions you calculate the minima by using the derivative:
[tex]f'(x)=2x\\\\g'(x)=2(x+1)\\\\h'(x)=2(x+3)[/tex]
to find the values of x you equal the derivative of the function to zero:
[tex]f'(x)=0;\ x=0;\\\\g'(x)=0; \ x=-1;\\\\h'(x)=0;\ x=-3;[/tex]
by evaluating this values of x you obtain the coordinates of the minima:
[tex]f(0)=0\\\\g(-1)=-2\\\\h(-3)=4[/tex]
hence, the coordinates will be:
f -> (0,0)
g -> (-1,-2)
h -> (-3,4)
hence, the relation is:
a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).
I need to answer number one I will give as many points as I can for the question and I will mark brainiest
Answer:
diagram is below6, 11, 16, 21s[n] = s[n-1] +526, 31, 36Step-by-step explanation:
a) See below for the next diagram in sequence.
__
b) The numbers of straws in each diagram are ...
6, 11, 16, 21, ...
__
c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...
s[1] = 6
s[n] = s[n-1] +5
__
d) The next three terms of the sequence are ...
..., 26, 31, 36, ...
Steve buys 2 lbs Of grapefruit
Answer:
Well, whats the question the answers 2 pounds i guess
Step-by-step explanation:
How do I solve these two?
Answer:
1.D
2.B
Step-by-step explanation:
For the first one divide see which one is less which is D
For the second one Ive always used the method kcf keep change flip so you keep [tex]\frac{15}{1}[/tex] the change ÷ to multiplication so then flip [tex]\frac{2}{9}[/tex] so the equation would be
[tex]\frac{15}{1}[/tex]x[tex]\frac{9}{2}[/tex] so multiply the 15 by 9 then you get 135 then divide by 2 so thats your answer
Find the unit rate.
10 deliveries in 5 hours = |
deliveries per hour
Answer: 2 deliveries per hour
Step-by-step explanation:
1. Rocco purchases a car for $14,950. There is a sales tax of 6.5%.
How much is the final price with tax?
Use the formula amount = cost x tax rate to find the amount of the
sales tax.
Add the cost of the car to the amount of the sales tax to find the final
price.
Answer:
The final price with tax is 15,921.75, and the total tax added was 971.75
Step-by-step explanation:
To find the final cost, you multiply the cost of the product by the tax rate plus one.
For this problem, you multiply 14,950 by (0.065 + 1) to get the answer
Answer:
$15,921.75
Step-by-step explanation:
1. Multiply the cost of the car by the sales tax rate.
14950*.65= 971.75
2. Then add this amout to the original cost of the car.
14950 + 971.75= $15,921.15
In triangle PQR, what is the triangle Q? Please answer as fast as possible! 100 POINTS!!!
Answer:
105 degrees
Step-by-step explanation:
The sum of the angles in a triangle add up to 180. Although we don't the know the numerical values of the angles, we can create an equation with the given expressions:
<P + <Q + <R = 180
(6x + 5) + (11x - 5) + x = 180
18x = 180
x = 10
Now, plug this value of x into the expression for Q:
<Q = 11x - 5 = 11 * 10 - 5 = 110 - 5 = 105
Thus, the measure of angle Q is 105 degrees.
Hope this helps!
Answer:
105 degrees
Step-by-step explanation:
The angles in a triangle must add to 180 degrees
<Q +<P + <R =180
We know <Q is 11x-5, <P is 6x+5 and <R is x, so we can substitute them in
11x-5+6x+5+x=180
Combine like terms
11x+6x+x +5 -5 =180
18x=180
Divide both sides by 18
x=10
Now we know x, and we can substitute that in to to find <Q
<Q=11x-5
<Q=11(10)-5
<Q=110-5
<Q=105
The graph of r = -3 + 5cos(theta) is symmetric about the __________.
a.
y-axis only
c.
Origin only
b.
x-axis only
d.
No symmetry
Please select the best answer from the choices provided
A
B
C
D
Answer: B
Step-by-step explanation:
X axis only
The graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only
What is Symmetry?In mathematics, symmetry has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling.
What is Graph?A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense related.
Here,
The graph of r = -3 + 5cosθ is symmetric about the x axis only
Also when we plot the graph we can say that it is symmetric about x axis only.
Hence, the graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only
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–2x + y = 3 2x – y = 4 Using elimination to solve this system results in the equation .
Answer:
1 = x and -2 = y
I am fairly happy with this answer
Answer:
0=7 just did it
Step-by-step explanation:
Which angel is an alternate exterior angle with angle 4
Answer:
6
Step-by-step explanation:
Alternate exterior is always the opposite side but on the outside. If it starts on the top left, it goes down to the bottom right
Answer:
angle 6
Step-by-step explanation:
angel 6 is an alternate exterior angle with angle 4
What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. Sin(20°)=LN/8. Cos(70°)=8/LN . Tan(70°)=LN/MN . Sin(20°)=8/LN . Cos(70°)= LN/8
Answer:
The 1st one and last one
Step-by-step explanation:
To estimate the mean score μ of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.3 . You want your sample mean ¯ x to estimate μ with an error of no more than 1.3 point in either direction.
(a) What standard deviation must ¯ x have so that 99.7 % of all samples give an ¯ x within 1.3 point of μ ? Use the 68 – 95 – 99.7 rule. (Enter your answer rounded to four decimal places.)
(b) How large an SRS do you need in order to reduce the standard deviation of
¯
x
to the value you found? (Enter your answer rounded to the nearest whole number.)
Answer:
a. 0.4333
b. 255
Step-by-step explanation:
The maximum Error E is 1.3
approximately normal test scores,
Standard Deviation, SD is 6.5
a).
Level of confidence = 99.7%
critical value of z for a two tailed test and 0.3% level of significance is 3
since the sample mean is within 0.5 of the true population mean
hence, the standard dev of mean is given by
[tex]Z_{\alpha}[\frac{\sigma}{\sqrt{n}} ]=E[/tex]
where E = 1.3
[tex]Z_{\alpha}=[/tex] 1.3
[tex]\frac{\sigma}{\sqrt{n}} =\frac{E}{Z_{\alpha}} \\\\\frac{\sigma}{\sqrt{n}} =\frac{1.3}{3}[/tex]
hence the Std of the mean is 0.4333 (to 4 d.p.)
b).
The sample size is computed as follows
making n the subject of formular of the above equation
[tex]\sqrt{n} =\frac{3\sigma}{1.3}} \\\\\sqrt{n} =\frac{3\times 6.5}{1.3}} \\\\n=(\frac{3\times 6.5}{1.3}})^2[/tex]
hence,
n = 255
Manipulate the triangle so angle A measures
approximately 92°
Manipulate the triangle so angle B measures
approximately 51°
Notice the straight line p.
What must the measurement of angle C be for p to
remain a straight line?
Angle C should measure approximately
Answer:
37 Degrees
Step-by-step explanation:
Manipulate the triangle so angle A measures approximately 92°.
Manipulate the triangle so angle B measures approximately 51°.
Notice the straight line p.
What must the measurement of angle C be for p to remain a straight line?
Angle C should measure approximately 37 Degrees
There is angle C should measure approximately 37° for line p to remain a straight line.
What are the vertical angles?When two lines intersect at a location, vertical angles are generated. They are always equal to each other.
As we know that a straight line, the sum of the angles is equal to 180°.
So, when angle A measures approximately 92° and angle B measures approximately 51°,
Then, the measurement of angle C must be 180° - 92° - 51° = 37° in order to keep line p a straight line.
Thus, angle C should measure approximately 37° for line p to remain a straight line.
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check 2 x-1 is a factor of p[x]=x^3-x^2+2x-1
Answer:
Step-by-step explanation:
2x - 1 =0
2x = 1
x = 1/2
Now We have to find P(1/2). If P(1/2) is zero, then 2x - 1 is a factor of P(x)
P(x)= x³ - x² + 2x -1
[tex]P(\frac{1}{2})=[\frac{1}{2}]^{3}-[\frac{1}{2}]^{2}+2*[\frac{1}{2}]-1\\\\=\frac{1}{8}-\frac{1}{4}+1-1\\\\=\frac{1}{8}-\frac{1*2}{4*2}+0\\\\=\frac{1}{8}-\frac{2}{8}\\\\=\frac{1-2}{8}\\\\=\frac{-1}{8}\neq 0[/tex]
2x - 1 is not a factor of p(x)
What single transformation was applied to quadrilateral A to get to quadrilateral B
Answer:
The answer is rotation.
How many solutions does the equation −5a + 2 = 7 - 5a have?
Answer:
there are 0 answers.
Step-by-step explanation:
2-7 is not = 0a
Which solid has one rectangular base and four lateral faces in the shape of triangles
Answer:
a square i believe so I'm not sure
Answer: ist B, rectangular pyramid
Step-by-step explanation:
I what the other guy said and it was wrong.
how many sides does a rhombicosidodecahedron have
Answer:
It has 120 sides but mark the other guy brainliest
Step-by-step explanation:
Solve the equation for b: -4b + 18 = -6
--------------------------------------------------------
-4b + 18 = -6
Subtract 18 from both sides:
-4b + 18-18=-6-18
Simplify:
-4b= -24
Divide both sides by -4:
-4b/-4 = -24/-4
Simplify:
b=6
Your Answer Is b= 6
plz mark me as brainliest :)