Answer:
[tex]l=\dfrac{p}{2}-6[/tex]
Step-by-step explanation:
Given that,
The perimeter of a rectangle = p
Width = 6
We need to find the length of the rectangle.
The formula for the perimeter of a rectangle is given by :
[tex]p=2(l+b)[/tex]
l is length
Put b = 6
So,
[tex]p=2(l+6)\\\\\dfrac{p}{2}=l+6\\\\l=\dfrac{p}{2}-6[/tex]
So, the required length is equal to [tex]\dfrac{p}{2}-6[/tex].
A frog is jumping onto a lily pad. Its height, h (in feet), is recorded at various seconds, t, in the
table below. Write an equation for the curve of best fit, then estimate the height of the frog after 6
seconds.
1
0
2
1
4.5
6
2
3
6.5
4
6
The curve of best fit is an illustration of a quadratic regression
The equation of the curve of best fit is [tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex], and the height of the frog after 6 seconds is 2 feet
How to determine the equation of the curve of best fit?To determine the equation of the curve of best fit, we make use of a graphing calculator
Using the graphing calculator, we have the following calculation summary
a = -17/18b = 17/3c = 2The equation of the curve of best fit is represented as:
[tex]y = ax^2 + bx + c[/tex]
Substitute the values for a, b and c.
So, we have:
[tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex]
After 6 seconds, the value of x is 6.
So, we have:
[tex]y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2[/tex]
Evaluate
[tex]y = 2[/tex]
Hence, the height of the frog after 6 seconds is 2 feet
Read more about curve of best fit at:
https://brainly.com/question/25226042
A plane traveled 1092 miles to Riyadh and back. The trip there was with the wind. It took 6
hours. The trip back was into the wind. The trip back took 7 hours. Find the speed of the plane
in still air and the speed of the wind.
Answer:
Step-by-step explanation:
p and s was are the speeds of the plane and wind, respectively.
Traveling with the wind, the plane moves p+w miles per hour.
p+w = (1092 miles)/(6 hours) = (182 miles)/hour
Traveling against the wind, the plane moves p-w miles per hour.
p-w = (1092 miles)/(7 hours) = (156 miles)/hour
Add the equations together
p+w = 182
p-w = 156
—————-
2p = 338
p = 169 miles per hour
w = p-156 = 13 miles per hour
Please help asap!
The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in each grade All students in the social studies club Which group best represents the population he should take a random sample from to get the best results for his survey?
All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Answer:all students in the social studies club
Answer:
I dont know the answer to this but I was putting this here to tell you how much of a good person you are. I was taking the ming china cause and effect chart and I didnt know the answer and your answer on that helped me alot and thank you very much you helped my grade to go from a b to an a thank you you are one of the kindest people I know. Thank you :)
Step-by-step explanation:
SOMEONE HELP ME PLEASE PAST DUE!! No websites allowed!
Give me the answer for the blanks
Airplane
Boat
Bike
The clues are at true bottom
Answer:
Airplane goes 550 mph
Bike goes 9 mph
Ship goes 27 mph
Step-by-step explanation:
The airplane goes 1,925 every 3.5 hours
Divide 1925 by 3.5
1925/3.5 = 550mph
Do the same thing with the bike’s numbers:
45/5 = 9
So 9mph
And again with the ship:
432/16 = 27
It also says its three times as fast as the bike so:
9 x 3 = 27
So the ship goes 27 mph
for brainiest:):):):):):):):):):):)
Answer:
34 yd for the perimeter. I mean you just add the sides together... So 8+2+3+7+5+9 = 34.
x+2y=3;3x+5y=7 solve by elimination method
Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 3 → (1)
3x + 5y = 7 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 3x - 6y = - 9 → (3)
Add (2) and (3) term by term to eliminate x
0 - y = - 2
- y = - 2 ( multiply both sides by - 1 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for y
Substituting into (1)
x + 2(2) = 3
x + 4 = 3 ( subtract 4 from both sides )
x = - 1
solution is (- 1, 2 )
Answer:
(2,1)
Step-by-step explanation:
A P E X
9 4/5 divided by 3 2/11
A school principal wants to find out what the students think about the teaching
quality in the school. Which of these samples is unbiased?
**EASY**
Determine the intercepts of the line -
2x + 5y = -6
Y-intercept: (_ , _)
X-intercept: (_ , _)
Help me please and thank you x
hope this helps:
x is 10 degrees...
I’m about to spam questions if you can answer them please do .
Answer:
x is 70
Step-by-step explanation:
hope this helps you
HELPPPP ME NOW PLS LLS
Answer:
Angle one is 107 degrees and angle 2 is 83 degrees
Step-by-step explanation:
Find the area of the semicircle
Answer:
3.92yd
Step-by-step explanation:
pi r²÷2
pi 2.5²÷2=3.92
Please help me FAST
Answer:
I believe it's either equation one or three. hope that helps :)
7. The price of a bike at Store A is 5/6 the price at store B. The price at store A is $150.60. Write and solve an equation to find out how much the bike is at store B. How much did you save by buying the bike at Store A.
As a little tip that's helped me personally when I was taking algebra, making equations for word problems feels a lot easier when you "translate" equations you make into words to make sure that you're using the right equation.
Let's boil down what the question tells us. 5/6 of the price tag of a bike from Store B is the price of a bike from Store A, which is $150.60. Let's use the variable 'b' to represent the price of Store B's bike.
[tex]\frac{5}{6}[/tex] * b = 150.60
Try "translating" the equation above. "5/6 of the price of a Store B bike is equal to 150.60." That seems about right, doesn't it? Let's isolate 'b' so we can get an official answer.
Multiply both sides by 6 to get rid of the denominator:
[tex]\frac{5b}{6}[/tex] * 6 = 150.60 * 6
5b = 903.6
Divide both sides by 5 to get rid of b's coefficient:
[tex]\frac{5b}{5}[/tex] = [tex]\frac{903.6}{5}[/tex]
b = 180.72
The price of a bike from Store B is $180.72
If you need any help on anything I just did here, don't be afraid to ask. Good luck on your Algebra endeavors!
- breezyツ
Solve for x using the image (show work)
x+106=100(corresponding angle)
x=100-106
x= -6
Question 2 (1 point)
A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking,
you choose a tile. What is the probability of drawing a number?
34, 57, 58, 56, 21. Which measure of center best represents the data? Explain why you chose that measure of center.
Answer:
Median
Step-by-step explanation:
The measure of center that best represents the data is median because the data is ordinal, that is it is in ranks. The first is 21, the second is 34, third is 56, fourth is 57 and fifth is 58.
During his past seven basketball games, Manuel scored 35, 37, 43, 47, 52, 29, and 31 points respectively. Therefore, his mean number of points per game was 39.14.
What did calculating that number tell him about his game?
A.
Manuel would know that he will make at least 39 points per game in the future.
B.
Even though Manuel does not score exactly 39 points in every game, he tends to score on average 39 points per game.
C.
Manuel would know that he will make at most 39 points per game in the future.
D.
Manuel would know that both he and his teammates will contribute an average of 39 points each per game.
The area of the octagon is how many meters squared?
Show your work.
the product of 5 and a number X is 22
i dont need what it equals
Inverse operations to the rescue!
So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4
What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.
A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6
Answer:
C. y = -3x +6
Step-by-step explanation:
y = mx + b
m= slope = -3
b = y-intercept = 6
y = -3x + 6
Θ lies in quadrant III, φ lies in quadrant I. cos θ = -8 /17 , cos φ = 15 /17 . What is cos (θ - φ)?
Answer:
cos(θ - φ) is -240/289
Step-by-step explanation:
The given parameters are;
The location of θ = Quadrant III
The location of φ = Quadrant I
cos(θ) = -8/17
cos(φ) = 15/17
By trigonometric identities, we have;
cos(θ - φ) = cos(θ)·cos(φ) - sin(θ)·sin(φ)
Given that 'θ' is in quadrant III, we have;
sin(θ) is negative
By Pythagoras' theorem, we have;
∴ sin(θ) = -√(17²- 8²)/17 = -15/17
Whereby 'φ' is in quadrant I, by Pythagoras' theorem, we have;
sin(φ) = √(17² - 15²)/17 = 8/17
∴ cos(θ - φ) = (-8/17) × (15/17) + (-15/17) × (8/17) = -240/289 = -0.83044982699
A pretzel maker was interested in knowing the number of pretzels in each bag is sold. The results of the research are shown in the box and whisker plot. What is the range in the number of pretzels? Please help
Answer:
23 pretzels
Step-by-step explanation:
The range value is obtained by taken the difference between the maximum and minimum values ;
The range = maximum - minimum
From the box and whisker plot attached ; the maximum value = 68
Minimum value = 45
Hence, the range in the number of pretzels :
68 - 45 = 23
Answer:
22
Step-by-step explanation:
Subtract the minimum (44) and the maximum (66) the answer to this question is 22
what is the slope of this line
Answer:
y=-4
Step-by-step explanation:
find the product (x+3y^2) (3x-3y^2)
Answer:
3x^2 - 12x·y^2 - 9y^2·y^4
Step-by-step explanation:
Apply the distributive property of multiplication here.
x times (3x - 3y^2) is 3x^2 - 3x·y^2.
3y^2 times (3x - 3y^2) is 9x·y^2 - 9y^2·y^4.
Thus, the desired product of the given binomials is the sum of the above results:
3x^2 - 3x·y^2 - 9x·y^2 - 9y^2·y^4
which shortens to 3x^2 - 12x·y^2 - 9y^2·y^4
I need major help pls help
Answer:
No, since 832 ≠ 900, using Pythagorean theorem, the width should be 18 in
Step-by-step explanation:
It is better to type the question in the 'Question' than the fact that you need help so that we can start seeing the problem immediately.
A rectangle has 4 right angles so if l = 24 and w = 16 then you can use the pythagorean theorem to see if this is possible since
24^2 + 16^2 = 30^2 since the diagonal is the hypotenuse of the triangles formed by the diagonal in the rectangle.
576 + 256 ≠ 900, since the left side is 832 and the right side is 900
It would be more correct if the width is 18 since 576 + 18^2 = 900
After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?
Answer:
Unitary cost= $1.75
Step-by-step explanation:
Giving the following information:
He spent $21 on 12 single-scoop ice cream cones.
To calculate the unitary cost, we need to use the following formula:
Total cost= number of units*unitary cost
Unitary cost= total cost / number of units
Unitary cost= 21 / 12
Unitary cost= $1.75
Exponential decay, please help
Answer:
6.25
Step-by-step explanation:
50(1 - .5)^3
6.25
Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.
Answer:
[tex]Pr = \frac{1}{216}[/tex]
Step-by-step explanation:
The sample space of a single dice is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(S) = 6[/tex]
Required:
The probability of rolling 3 sixes
In a sample space of a roll of die, we have:
[tex]n(6) = 1[/tex]
In a roll of dice, the probability of rolling a 6 is:
[tex]P(6) = \frac{n(6)}{n(S)}[/tex]
[tex]P(6) = \frac{1}{6}[/tex]
In 3 rolls, the probability is:
[tex]Pr = P(6)^3[/tex]
[tex]Pr = [\frac{1}{6}]^3[/tex]
[tex]Pr = \frac{1}{216}[/tex]