Answer:
So, the distance covered by man if he takes 3 rounds is 3491.16 inches
Step-by-step explanation:
We are given area of square field i.e 84642 and we need to find distance covered by man if he takes 3 rounds of the field.
Distance covered by man = Perimeter of square field
First we have to find length of side of square field.
The formula used is Area of square= (Length)^2
Putting value of area and finding length.
[tex]Area of square= (Length)^2\\\sqrt{Length} =\sqrt{84642} \\Length= 290.93\\[/tex]
So, length of square field is 290.93 inches
Now finding the distance covered by man if he takes 3 rounds
First find perimeter
Perimeter of square = 4*length
Perimeter of square = 4*290.93
Perimeter of square = 1163.72 inches
Distance covered by man if he takes 3 rounds = 3*Perimeter of square
Distance covered by man if he takes 3 rounds = 3*1163.72
So, the distance covered by man if he takes 3 rounds is 3491.16 inches
Graph the function rule
Y= -3/4 x-1
Completing the Square
Solve each equation by completing the square.
1) 7x2 + 14x - 65--9
Answer:
2(30-7x)
Step-by-step explanation:
=14+14x-65-9
=14+14x-79
=60+14x
=2(30-7x)
To increase attendance for a flower show, the organizers have chosen flower shops in the area to offer discount coupons to their customers. Half of the stores receive discount coupons for admission, while the other half of the stores receive two-for-one admission coupons. The organizers then compare the number of each type of coupon redeemed at the show.
What are the explanatory and response variables in this scenario?
The explanatory variable is the number of coupons redeemed. The response variable is the type of coupon.
The explanatory variable is each chosen flower shop. The response variable is the number of coupons redeemed.
The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
The explanatory variable is the attendance at the flower show. The response variable is the number of attendees who used coupons.
Answer:
Because the weather was generally better this year compared to last year, the attendance may have increased.
Step-by-step explanation:
took test
Answer:
C.) The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
Step-by-step explanation:
edge 2020
2/4=13/x ( need help on this to
Answer:
x=6.5
Step-by-step explanation:
Cross multiply
4x=26
Divide 26/4 ( 6.5 )
x=6.5
x squared - 7x-34=10 solve
The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or, x = -4.
Here, we have,
given that,
the equation is: x squared - 7x-34=10
now, we have to solve this.
so, we have,
x squared - 7x-34=10
or, x²- 7x-34=10
or, x²- 7x - 44 = 0
or, x²- 11x + 4x - 44 = 0
or, x(x-11) + 4(x-11)
or, (x-11) (x + 4) = 0
so, we get,
either , x = 11 or, x = -4
Hence, The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or,
x = -4.
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Sofia used these steps to find the inverse of function f
She made a mistake in step__(2,6,4,3,5)?
She should have_____
.dived each side by 8 instead of multiplying
.replaced x with f(x)
.divided each side by 3 instead of multiplying
.added 4 to each side instead of subtract
.restricted the domain to x>0
Answer:
Step-by-step explanation:
Step 1 f(x) = [tex]\frac{3x+4}{8}[/tex] Given
Step 2 y = [tex]\frac{3x+4}{8}[/tex] Change f(x) to y
Step 3 x = [tex]\frac{3y+4}{8}[/tex] Switch x and y
Step 4 8x = 3y + 4 multiply each side by 8
Step 5 8x - 4 = 3y Subtract 4 from each side
Step 6 [tex]\frac{8x-4}{3}=y[/tex] Divide by 3 on each side
Step 7 [tex]\frac{8x-4}{3}=f^{-1}(x)[/tex] Replace y by [tex]f^{-1}(x)[/tex]
Therefore, inverse of the function will be,
[tex]\frac{8x-4}{3}=f^{-1}(x)[/tex]
Sofia made a mistake in step 6. She should have divided both the sides by 3 instead of multiplying each side by 3.
Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.
The given function is [tex]f(x)=\dfrac{3x+4}{8}[/tex].
It is required to calculate the inverse of the function.
So, the steps involved in finding the inverse of the function will be,
Step 1:
Write the given function as,
[tex]f(x)=\dfrac{3x+4}{8}[/tex]
Step 2:
Change the function f(x) to y as,
[tex]y=\dfrac{3x+4}{8}[/tex]
Step 3:
Switch x and y as,
[tex]x=\dfrac{3y+4}{8}[/tex]
Step 4:
Multiply each side of the equation by 8 as,
[tex]8x=8\dfrac{3y+4}{8}\\8x=3y+4[/tex]
Step 5:
Now, subtract 4 from each side of the equation as,
[tex]8x-4=3y+4-4\\8x-4=3y[/tex]
Step 6:
Now, it is required to divide each side by 3.
[tex]\dfrac{8x-4}{3}=\dfrac{3y}{3}\\\dfrac{8x-4}{3}=y[/tex]
Step 7:
Now, replace y with [tex]f^{-1}(x)[/tex] as,
[tex]\dfrac{8x-4}{3}=f^{-1}(x)[/tex]
So, the required inverse function should be [tex]f^{-1}(x)=\dfrac{8x-4}{3}[/tex].
Therefore, Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.
For more details, refer to the link:
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Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and is the longest side of DEF.
a)Triangle ABC is a scaled copy of triangle DEF with what scale factor?
b)Triangle DEF is a scaled copy of triangle ABC with what scale factor?
Answer:
a) 3/2 or 1.5
b) 2/3 or ≈.66
Step-by-step explanation:
AB corresponds to DE because they are both the longest sides of their respective triangles.
a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5
b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66
What is the solution of the equation?
-39.75 = 7.5m
Answer:
m = -5.3
Step-by-step explanation:
-39.75 = 7.5m
Divide both sides by 7.5 to get m alone
-39.75/7.5 = 7.5m/7.5
-5.3 = m
Hope this helps:)
Answer:
m= -5.3
Step-by-step explanation:
-39.75=7.5m
(divide both sides by 7.5)
-5.3=m
Can 14,18 and 19 form a triangle?
Answer:
Yes
Step-by-step explanation:
Using the triangle formula: a+b>c , b+c>a , and c+a>b, we can conclude that these values can form a triangle because 14+18>19 , 14+19>18 , and 18+19>14.
Answer:
To confirm if this can form it, we take the lower of the two numbers , square them, and equal it to the biggest number squared. (AKA The Pythagorean Theorem).
Step-by-step explanation:
[tex]14^{2} +18^{2} = 19^{2}[/tex]
Now solve to see if it equates to be true.
196 + 324 = 361
520 [tex]\neq[/tex] 361
That means 14, 18, and 19 can't form a triangle.
Bob has a coin collection made up of pennies and nickels. If he has three times as many pennies as nickels and the total face value of the coins is $416, how many coins of each kind are in the collection?
Answer:
I think its 15600..
Step-by-step explanation:
Simplify the following expression (3x-5)(4-9x)+(2x+1)(6x^2+5)
Please who ever gets right gets brainliest to
Answer:
The Trench or The Mariana Trench is the deepest part of the ocean.
Answer:
B) trench
Step-by-step explanation:
The deepest part of the ocean is called the Challenger Deep and is located beneath the western Pacific Ocean in the southern end of the Mariana Trench
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
How many times does 35 go into 100 please give correct answer max points.
Answer:
100/35 = 2
35 goes into 100 2 times
Step-by-step explanation:
Alex earned $75 mowing lawns. He decided to put $25
into saving and spent $29.99 on a new shirt. He wants
to buy socks for $6.25 per pair. What is the maximum
number of pairs of socks he can buy?
Answer:
Alex can buy "3" socks
Step-by-step explanation:
75- 25 =50
50- 29.99 = 20.01
20.01/ 6.26= 3.02
Since you can't get a portion of a sock you just take the first number (which is 3). Therefore, Alex can only buy three socks.
12 divided by 1/4 please help got a test next Monday
Answer:
48
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
When dividing fractions flip and multiply.
So 12 would become 1/12
and 1/4 would become 4/1
Now multiply
[tex]\frac{1}{12}*\frac{4}{1}= \frac{4}{12} = \frac{1}{3}[/tex]
So the answer is 1/3
When dividing fraction remember to flip then multiply much easier that way!
Hope this helps!!
Round 4,287,965 to the nearest thousand
Answer:
It is 4,288,000.
Step-by-step explanation:
To round to the nearest thousand, you need to find the thousands place. In the thousands place there is a "7". Okay, we've found it, so the next step is rounding.
To round, there is a handing phrase that we can use to know whether we should round the place up or down. It is "4 or less, let it rest. 5 or more, add 1 more." We need to apply this phrase to the number behind the place we need to round (so apply it to the place behind the thousands place).
When we look behind the thousands place, we see there is a 9. Apply the rule to that. Since 9 is above 5 and not less than 4, we need to add one more to the thousands place.
That means after we round, the 7 turns into a 8. That's how you get 4,288,000.
Hope this makes sense <3
Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x). Question 1 options:A. (f – g)(x) = –x2 –2x + 2 B.(f – g)(x) = x2+ 2x – 4 C. (f – g)(x) = –x2+ 4x – 6 D. (f – g)(x) = x2+ 4x + 6
Answer:
A
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\=(x-2)-(x^2+3x-4)\\=x-2-x^2-3x+4\\=-x^2-4x+2\\[/tex]
Therefore, answer is A.
Answer:
Step-by-step explanation:
Algebra II: Part 2 James Madison
Your quiz has been submitted successfully. 100%
Question 1 5 / 5 points
Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x).
A: (f – g)(x) = –x2 –2x + 2
Question 2 5 / 5 points
Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x).
A: (g – f)(x) = 3
Question 3 5 / 5 points
Let f(x) = 4x – 1 and g(x) = 2x. Find (f ∘ g)(–5).
A: (f ∘ g)( – 5) = –41
Question 4 5 / 5 points
Which of the following is the inverse relation of the set below?
A: {(3,–2), (–4,7), (7,3), (4,8)}
Question 5 5 / 5 points
What is the inverse of f(x) = 2x2 –4?
A: y = ±x+24−−−√
Question 6 5 / 5 points
Which of the following function pairs are inverses?
A: f(x) = 2x – 3 and g(x) =x+32
Question 7 5 / 5 points
Which of the following is true?
A: The horizontal line test is used to determine if a function's inverse will be a function.
Question 8 5 / 5 points
Evaluate81−−√4
A: 3
Question 9 5 / 5 points
Evaluate 1251⁄3.
A: 5
Question 10 5 / 5 points
Use the properties of exponents to simplify the expression 2(x13)65⋅y23.
A: 2x25⋅y23
Question 11 5 / 5 points
A population culture begins with 15 strands of bacteria and then doubles every 4 hours. This can be modeled as 15(2)t4, where t is time in hours. How many strands of bacteria are present at 12 hours?
A: 120 strands of bacteria
Question 12 5 / 5 points
Simplify 36√3√.
A: 23–√
Question 13 5 / 5 points
Simplify 73–√+12−−√−75−−√.
A: 43–√
Question 14 5 / 5 points
Simplify 2–√×22–√.
A: 4
Question 15 5 / 5 points
Simplify 83−−√.
A: 26√3
Question 16 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=2x−−√4−5
Question 17 5 / 5 points
Identify the graph of f(x)=x−2−−−−√3−3.
t would not allow me to add the graft. But it is the answer with the line that goes all the way across the graft starting at -10 thru -4.5 and up to 10. The line looks like an "S"
Question 18 5 / 5 points
Identify the graph of f(x)=6x−−√4−1.
It would not allow me to add the graft. But it is -1 up to the right to about 9.5. Document uploaded
Question 19 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=x−1−−−−√5+5
Question 20 5 / 5 points
Solve the inequality x+2−−−−√4>2.
A: x>14
Question 21 5 / 5 points
Solve the inequality −2x−−−−√−1<3.
A: −8<x≤0
Question 22 5 / 5 points
Solve the equation 2x−1−−−−−√=5.
A: x = 13
Question 23 5 / 5 points
Solve the equation x+1−−−−√+5=3.
A: There is no solution.
Question 24 5 / 5 points
Given thatf(x)=4x3x+3−−−−−√ and g(x)=2x+1−−−−√, find (fg)(x).
A: 2x3–√
A rectangle is 2 meters long and 50 centimeters wide. What is its perimeter, in centimeters?
Answer:
250 centimeters
Step-by-step explanation:
2 meters into centimeters is 200 so 200+50=250
Answer:
100cm
Step-by-step explanation:
box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the amount of material used. sides of base
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Multiply (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19). Express the answer in scientific notation.
3.6 ⋅ 10^9
3.6 ⋅ 10^10
36 ⋅ 10^9
36 ⋅ 10^10
Answer:
3.6 • 10^9
Step-by-step explanation:
Through multiplying, we get 3,600,000,000
The number divided by 10^ 9 = 3.6
Therefore the Answer is 3.6 × 10^9
The two triangles are similar, What is the length of DE?
Answer:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. The corresponding sides of similar triangles are in proportion.
I hope this might help you
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help me please in this problem
PLEASE HELPPP
The two lines represent the amount of water, overtime, in two tanks that are the same size.
Which container is feeling more quickly? explain how you know
Container _____ Is filling
more quickly because the line is _____ And has a higher _____
WORD BANK:
steeper
C.O.P
A
B
Answer:
Container A is filling more quickly because the line is steeper and has a higher C.O.P
Step-by-step explanation:
Which scenario describes this picture?
Answer:
It"s the second answer, "An 8-foot ramp leans....".
Step-by-step explanation:
Answer:
Step-by-step explanation:
⊕ An 8-foot ramp leans against a building 5 feet away.
cos x = [tex]\frac{5}{8}[/tex] ⇒ x ≈ 51.3178°
Hilah's soccer team is trying to raise $2414 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $34 for the breakfast. How many people need to attend their breakfast in order to raise $2414?
Answer:
Therefore we understand that exactly 71 people will have to attend breakfast in order to raise 2414 dollars.
Step-by-step explanation
We understand that we have to calculate the amount of people paying for breakfast so if 71 people each pay $34 we would get 2414
= 2414 ÷ 34 (This would give us 71 we get this straight away when we read the problem)
We can also fact check this by doing
= 34 x 71 (This gives us 2414)
What is the function rule for the line?
Answer: f(x) = -3/2x -2
Step-by-step explanation:
Slope form of a line is y=mx+b, where b is the y-intercept and m is the slope. We find the y-intercept when we look at when x is 0 which would be -2. The slope is graphing to plots and determining if the slope is positive- going up- or negative- going down. The slope is going down and after using y2 - y1 / x2 - x1, I found the slope was -3/2.
simplify 8.7+(1.5)2+4(3.5+6.2)0-3.1-1.5
please help I will give u brainiest if you answer WITH EXPLANATION (show your work)
Answer:
43.15
Step-by-step explanation:
What is 8 2/3 divided by 1 1/5
Answer:
3 31/33
Step-by-step explanation:
26/3x5/11= 130/33=
3 31/33hope this helpedAnswer:
3.9393
Step-by-step explanation:
You can make them into an improper fraction and make the denominators the same and divide. so for 8 2/3, the improper fraction would be 26/3. 11/5 is already an improper fraction. Put it into the calculator as (26/3) / ( 11/5) and it will give you 3.9393
1. Determine whether line KM and line ST are Parallel, Pers
Line KM has a slope of 5/8
Line ST has a slope of -8/5
Answer:
Since the slope of KM and ST are different, they are not parallel
Step-by-step explanation:
Slope of line KM = [tex]\frac{5}{8}[/tex]
Slope of ST = [tex]-\frac{8}{5}[/tex]
Determine whether the lines are perpendicular;
Solution:
We can use the slope of a line to determine whether they are perpendicular or parallel to one another.
Parallel lines do not meet one another
Perpendicular lines cross one another at an angle of 90°
Two lines are parallel if their slopes are the same;
Since the slope of KM and ST are different, they are not parallel
PLS ANSWER ASAP!!!!!!!!!! I WILL GIVE BRAINLIEST FOR THE FIRST PERSON TO GET IT RIGHT
A small box (s ) contains 8 donuts and a large box (l ) contains 12 donuts. Sam bought 10 boxes of donuts containing a combined total of 108 donuts. Identify each equation that correctly describes the donut purchase. SO, THERE IS MORE THAN ONE ANSWER!!!!!
s + l = 12
s + l = 10
10s + 8l = 12
12s + 8l = 108
8s + 12l = 108
s + l = 108