Answer:
1
Step-by-step explanation:
[tex](3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1[/tex]
A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?
Histogram with title Hay Bale Toss, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 40, the second goes to 50, the third goes to 30, and the last goes to 20. Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50.
The Hay Bale Toss would be more symmetrical.
The Pie Eating Contest would be less symmetrical.
The Hay Bale Toss would be more skewed.
The Pie Eating Contest would be more skewed.
Answer:
C
Step-by-step explanation:
Got it right on the flvs
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If y varies inversely as the square of , and Y =4/63 when x=3 find y when x=5
Answer: 20/189
Step-by-step explanation: Y is proportional to x which states that 4/63 is proportional to 3 so when x=5 then it will be 5*4/63/3=20/63/3=20/63*1/3=20/189
200 people watched a movie 55% of the people like the movie how many people did not like the movie
if 55% like the movie, then 100% - 55% = 45% did not like the movie.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{45\% of 200}}{\left( \cfrac{45}{100} \right)200}\implies 90[/tex]
help please!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
0.2 km per minute
Step-by-step explanation:
if he left for home when he was 4 miles from home, at 11:40, and got home 20 minutes later then his rate of speed is 20 minutes to go 4 miles (20/4), which if you divide both numerator and denominator by 20 you get 1 minutes for 0.2 km
I really need help with this question please help
Answer:
9
Step-by-step explanation:
5 times 5 = 25
45 divided by 5 = 9
PLEASE HELP ASAP!! . Identify the vertex of the parabola given by f(x) = 2x^2 – 12x + 7.
The vertex of the parabola will be;
⇒ (3, - 11)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ f (x) = 2x² - 12x + 7
Now,
Since, The equation is,
⇒ f (x) = 2x² - 12x + 7
It can be written as;
⇒ f (x) = 2(x² - 6x) + 7
⇒ f (x) = 2(x² - 6x + 9 - 9) + 7
⇒ f (x) = 2(x² - 6x + 9) - 18 + 7
⇒ f (x) = 2 (x - 3)² - 11
By comparing with standard form of parabola y = a (x - h)² + k, we get;
⇒ (h, k) = (3, - 11)
Thus, The vertex of the parabola will be;
⇒ (3, - 11)
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Given: Segment AD is an altitude
Find: BC
Answer:
[tex]BC=71\text{ units}[/tex]
Step-by-step explanation:
Since AD is an altitude, we know that AD⊥BC by the definition of altitudes.
Then, this means that ∠ADC will be 90° by the definition of perpendicular lines. Therefore:
[tex]12x+6=90[/tex]
Solve for x. Subtract 6 from both sides and then divide by 12:
[tex]12x=84\\[/tex]
[tex]x=7[/tex]
Therefore, the value of x is 7.
BC is the addition of the segments BD and DC. In other words:
[tex]BC=BD+DC[/tex]
We already know the equations of BD and DC. Substitute:
[tex]BC=(5x-7)+(2x+29)[/tex]
Since we know that the value of x is 7, substitute 7 for x and evaluate for BC:
[tex]BC=(5(7)-7)+(2(7)+29))[/tex]
Evaluate:
[tex]BC=(35-7)+(14+29)[/tex]
Evaluate:
[tex]BC=28+43=71[/tex]
Therefore, the value of BC is 71 units.
Answer:
BC = 71
Step-by-step explanation:
12x + 6 = 90
x = 7
5x - 7 + 2x + 29 = 7x + 22
7(7) + 22 = 49 + 22
49 + 22 = 71
BC = 71
Identify a possible value for X that would make the relation shown in the table not A function. Explain.
Answer:
A possible value for X that would not make the table a function would be 5
Step-by-step explanation:
For a table to have a function, you must have a constant rate of change, changing from -1 to 5 and then to 2 would not be a constant rate of change.
Hope this helps!
Please give brainliest!
Back to my question. I have this problem that I cant solve.
-21-9k=-8(6k+3)
I need to get the answer k= -0.08
Can someone please help me and give me the explanation?
Here's how to solve your equation step by step:
−21−9k=−8(6k+3)
Step 1: Simplify both sides of the equation.
−21−9k=−8(6k+3)
−21+−9k=(−8)(6k)+(−8)(3) (Distribute)
−21+−9k=−48k+−24
−9k−21=−48k−24
Step 2: Add 48k to both sides.
−9k−21+48k=−48k−24+48k
39k−21=−24
Step 3: Add 21 to both sides.
39k−21+21=−24+21
39k=−3
Step 4: Divide both sides by 39.
39k/39 = -3/39
Here's the answer: -1/13 or -0.08.
Consider the equation x – 10 = 11 – 2x.
What is the value of x-9 = -5
Answer:
[tex]\boxed {x = 4}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x - 9 = -5[/tex]
-Add both sides by [tex]9[/tex]:
[tex]x - 9 + 9 = -5 + 9[/tex]
[tex]\boxed {x = 4}[/tex]
So, the value of [tex]x[/tex] is [tex]4[/tex].
If chocolate chips have 20 calories in 2t how many calories in 3 cups
Answer:
Please Specify if the chocolate chips are measured in teaspoon or tablespoon?
Step-by-step explanation:
Assuming that the chocolate chips are measured in Teaspoons
given: 20 calories= 2 teaspoons
Now we can say that 48 teaspoons= 1 cup
therefore if 2 teaspoons make 20 calories , how many does 48 teaspoons make?
(48x20)/2 = 480 calories
we can now say that 48 teaspoons =1 cup = 480 calories
3x480=1440
so, 3 cups= 1440 calories
Hope this helps! :)
help por favor how do i Multiply. Enter the product in simplest form.
3/4 x 2/11 = 3/22
Step by step explanation
multiply both numerators together: 3 x 2 = 6
multiply both denominators together: 4 x 11 = 44
3 x 2 = 6 4 x 11 = 44 = 6/44
Divide 6 by 2 and 44 by 2.
6 / 2 = 3
44 / 2 =22
thus your answer is 3/22
Hope this helps! :)
i really need
help on this work it is really difficult help plsss
Mandy works construction. She knows that a 555 meter long metal bar has a mass of 40 \text{ kg}40 kg40, start text, space, k, g, end text. Mandy wants to figure out the mass (w)(w)left parenthesis, w, right parenthesis of a bar made out of the same metal that is 333 meters long and the same thickness. What is the mass of the shorter bar?
Answer:
Answer:
Proportion b. 5/3 = 40/w is the answer and w = 24 kg.
Step-by-step explanation:
it is given in the question that a metal bar was 5 meter long and has a mass of 40 kg. Mandy makes a bar again by using same metal of length 3 meters and mass w.
Since metal of the rods are same so weight per meter of the rod will be same.
mass per meter of 5 meter rod = 40/5
mass per meter of 3 meter rod = w/3
Both are same so
40/5 = w/3 is the proportion Mandy will use.
By using this proportion Mandy will get w = 3×40/5 = 24 kg
Step-by-step explanation:
The graph G is the result of a transformation of the graph y = f(x).
a) Write down, in terms of f, the equation of graph G.
The graph of y = f(x) has a maximum point at (3, 4).
b) Write down the coordinates of the maximum point of the graph of y = -f(x).
Answer:
(6,0)
Step-by-step explanation:
reflect the graph on mirror line answer should be (6,0)
Just some hw. Also idk hows is your day?
Answer:
1) 3n²+11n+6
2) 2n²-4n+2
3) 4x²-9
4) r²-2r-3
5) 4n²+8n+3
6) 3p²-6p+3
Step-by-step explanation:
FOIL
plz tell me u know how to do this
my day will be amazing todayyyyyyyyyyyy bc im getting a new phone aslkdjhfajshdf
What is the answer to this?
Answer:
-26
Step-by-step explanation:
y=mx+c
x and y are coordinates
m is gradient
c is y-intercept
if x^2 has a number before it, divide c by that number
so -26/1 = -26
I will give brainliest plzzz I need help
Write a for loop that uses a variable named i as well as the range and print function to efficiently display only the odd integers from 3 to 9 (including the numbers 3 and 9.) It is recommended that you use the range function with 3 parameters in its parentheses.
Answer:
Python :
for i in range (3, 10, 2):
print(i)
A dinner plate is in the shape of an isosceles right triangle. The leg length is 13 inches. What is the perimeter of the plate? Round your answer to the nearest tenth.
Answer: 18.4 inches
Step-by-step explanation:
A mom shared $180 between her 2 daughters in the ratio of 4 : 5 respectively. Calculate how much money is the smaller share?
the mom cut 180 in 9 parts (4+5)
the smaller share is 180 x 4/9 = $80
BRAINLEST
What is 37 1/2 divided by 3/4?
Answer:
50!!11!
Step-by-step explanation:
dividing a fraction is just like multiplying by the fraction's reciprocal~
(reciprocal is 4/3)
37.5 x 4 = 150
150 / 3 = 50
Answer:
50
Step-by-step explanation:
37 1/2 divided by 3/4 and convert to 74 divided 3/4
74/1 divided by 3/4 is
74/1 times 4/3
296/3 which equals 50
Which of the following is equivalent to 3(5x+2) – (5x + 2)? A) 2 B) 3 © 2(5x + 2) D 3(5x+2)
Answer: A :)
Step-by-step explanation:
Which expression is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction? y5 y6 125y3 125y5.
Answer:
bb
Step-by-step explanation:
Answer:
should be D
Step-by-step explanation:
Pls Help Asap
-3 23/29 + (-0. 75 ÷ (-3/4) - 1. 4 ÷ (-7/12)) ÷ (-3 2/5)
For this problem I got 1725/493 which could be converted as -3.49898...
Correct me if I'm wrong - But I believe this is right
I am a system of equations that has solution (-3, 7). Select the types of lines that lead to this solution, and select all systems that apply??
Answer:
Straight lines and Curves with tangents
Step-by-step explanation:
Simultaneous equations system
An airplane is flying at a speed of 350 mph at an angle of 100 degrees. A wind is blowing at 50 mph at an angle of 40 degrees. Find the resulting speed and direction.
The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively.
How to apply vectors to find absolute velocity of the airplane
In this question we must apply vectors in rectangular form to determine the absolute velocity of an airplane. which is the sum of velocity at still air ([tex]\vec v_{A/W}[/tex]) and wind velocity ([tex]\vec v_{W}[/tex]), both in miles per hour. If we know that [tex]v_{W} = 50\,\frac{mi}{h}[/tex], [tex]\theta_{W} = 40^{\circ}[/tex], [tex]v_{A/W} = 350\,\frac{mi}{h}[/tex] and [tex]\theta_{A/W} = 100^{\circ}[/tex], then resulting velocity is:
[tex]\vec v_{A} = 50\cdot (\cos 40^{\circ}, \sin 40^{\circ}) + 350\cdot (\cos 100^{\circ}, \sin 100^{\circ})[/tex]
[tex]\vec v_{A} = (-22.474, 376.822)[/tex]
Whose magnitude ([tex]v_{A}[/tex]), in miles per hour, and direction ([tex]\theta[/tex]), in degrees, are, respectively:
[tex]v_{A} = \sqrt{(-22.474)^{2}+376.822^{2}}[/tex]
[tex]v_{A} \approx 377.492\,\frac{mi}{h}[/tex]
[tex]\theta_{A} = \tan^{-1} \left(\frac{376.822}{-22.474} \right)[/tex]
[tex]\theta_{A} \approx 93.413^{\circ}[/tex]
The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively. [tex]\blacksquare[/tex]
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The radius of a circle is 3 m. Find its circumference in terms of pi.
The circumference of a circle is [tex]2\pi r[/tex]
r is the radius --> 3mCircumference = [tex]2\pi (3) = 6\pi[/tex]
It says to leave in terms of pi which means that we won't solve [tex]6\pi[/tex]
Thus the answer is [tex]6\pi[/tex].
Hope that helped!
What is 232 divided by 4
Answer: 58
Step-by-step explanation:
1st step: Start by setting it up with the divisor 4 on the left side and the dividend 232
2nd step: The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
3rd step: Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
4th step: Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.Move down the 2nd digit of the dividend (3)
5th step: The divisor (4) goes into the bottom number (23), 5 time(s). Therefore, put 5 on top
6th step: Multiply the divisor by the result in the previous step (4 x 5 = 20) and write that answer at the bottom. Subtract the result in the previous step from the number written above it. (23 - 20 = 3) and write the answer at the bottom.
7th step: Move down the last digit of the dividend (2). The divisor (4) goes into the bottom number (32), 8 time(s). Therefore put 8 on top
8th step:Multiply the divisor by the result in the previous step (4 x 8 = 32) and write the answer at the bottom. Then Subtract the result in the previous step from the number written above it. (32 - 32 = 0) and write the answer at the bottom.
Therefore, the answer to 232 divided by 4 is by using long division
The required quotient is 58.
Given that 232 ÷ 4.
The long division states that divident = divisor × quotient + remainder.
Let a and b be any real numbers. Consider a ÷ b gives a = b × q + r, that implies q is quotient and r is remainder such that 0 [tex]\leq[/tex] r [tex]\leq[/tex] b.
That implies,
[tex]\begin{array}{ccc}4)&232&(58\\_-&20\\&32&\\_-&32&\\&00&\end{array}[/tex]
Therefore, the required quotient is 58.
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please answer doing ixl
Answer:
1/4
unsimplified = 2/8
Step-by-step explanation:
2/8 is your answer because
you can see here that there are 8 bars that are being covered by his total sales. That means that 8 is the denominator, then, the money is going 2 more bars than 225 dollars. So if we see, then we can find out that the sales are going up till 275, and the difference of 275 and 225 is 50. And each bar over here represents a difference of 25. That means that 2/8 (1/4) of the sales are more than $225.
So hence, your answer is 1/4
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If you see someone without a smile, then give them one of yours!
so always keep more than 2 smiles
so be happy always!
Thanks!
Have a great day!
:D
Answer:
1/4
Step-by-step explanation:
From inspection of the box plot:
Minimum value = 100Q1 = 150Q2 (median) = 200Q3 = 225Maximum value = 275The left whisker (min value) to Q1 represents the bottom 25% of the data
Q1 to Q2 represents the second 25% of the data
Q2 to Q3 represents the third 25% of the data
Q3 to the right whisker (max value) represents the top 25%
Therefore, the sales of over $225 represent the top 25% of the data.
25% represented as a fraction is 25/100 = 1/4