i dont want to fail please anyone with a kind heart help its just thid one question im stuck with :(
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
*Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.*
Answer:
110
Step-by-step explanation:
there
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a. M. H = 0. 5 cosine (StartFraction pi Over 12 EndFraction t) 9. 5 h = 0. 5 cosine (StartFraction pi Over 6 EndFraction t) 9. 5 h = cosine (StartFraction pi Over 12 EndFraction t) 9 h = cosine (StartFraction pi Over 6 EndFraction t) 9.
The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.
The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; [tex]\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]Reasons:
The given parameters are;
The variation of the height of the tip of the hour hand = 9 feet to 10 feet
At t = 0, the time = 12.00 a.m.
Required: The equation that can be used to model the height as a function of time.
Solution:
The general form of the cosine function is presented as follows;
y = a·cos(b·x - c) + d
The amplitude = a
[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]
Therefore;
[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]
b = The cycle speed
The period, T, is given as follows;
[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]
The period of a block, T = 12 hours
Therefore;
[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]
[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]
[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]
At t = 0, H = The highest point = 10 ft.
Which gives;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]
[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]
-c = arcos(1) = 0
-c = 0
c = 0
The equation is therefore;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]
The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5
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Find the
17th
term of the arithmetic sequence whose common difference is d=5 and whose first term is a1 = 1.
The [tex]17th[/tex] term of the arithmetic sequence is [tex]81[/tex]
An arithmetic sequence is a sequence of numbers produced by adding a fixed number, called the common difference, to a term in the sequence to get the next term of the sequence.
The formula for calculating the [tex]nth[/tex] term of a sequence is
[tex]a_n=a_1+(n-1)d[/tex]
where
[tex]a_n=\text{the nth term}\\a_1=\text{the first term}\\d=\text{the common difference}[/tex]
from the question
[tex]n=17\\d=5\\a_1=1[/tex]
from this information, we can calculate the [tex]17th[/tex] term of the sequence thus
[tex]a_n=a_1+(n-1)d\\a_{17}=1+(17-1)\times5\\=81[/tex]
so, [tex]a_n=81[/tex]
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What would make this conditional a false statement? If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month.
You go to the gym for an hour a week and lose 10 pounds in a month
You go to the gym for an hour a week and lose 17 pounds in a month
You go to the gym for an hour a week and lose 7 pounds in a month
You go to the gym for an hour a week and lose 50 pounds in a month
We must see which thing would make the conditional statement a false statement. We will see that the correct option is:
"You go to the gym for an hour a week and lose 7 pounds in a month"
So we start with the conditional statement:
"If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month"
Remember that the general conditional statement is:
If P, then Q.Where P is the hypothesis and Q is the conclusion.
The conditional statement is false if:
P is true and Q false.
So the given statement is only false if you meet the hypothesis (you go to the gym for an hour a week) but not the conclusion (you lose less than 10 pounds in a month).
With that in mind, the correct option is the third one, the only one where you lose less than 10 pounds in a month.
"You go to the gym for an hour a week and lose 7 pounds in a month"
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Which table is y a function of x?
Answer:
The first chart
Step-by-step explanation:
Please help me solve #9, and please 10
Answer:
#9. y = -250x
#10. y = -2500, x = 100
Step-by-step explanation:
y = mx +b
y: y-value
m: slope
x: x-value
b: y-intercept
since your answer for #8 is -250, the slope would be -250 or m would be -250
y = -250x+b
now to solve for b, we take one of the points and plug it in, any works, but we'll use (1,-250)
plug in the points
-250 = -250(1)+b
solve for b
b = 0
thus the equation is y = -250x + 0 or y = -250x
#10 plug in x values and y values into equation to get answer
x = 10 -> y = -250(10) = -2500
y = -25,000 -> -25,000 = -250x
x = -25,000/-250
x = 100
Which expression can be used to find the product of 57 x 44?
Answer:2508
Step-by-step explanation:
The area of the shaded region is 20 cm. Find the value of x
Find an equation of the line described. Write the equation in slope-intercept form when possible.
Through (-8, -7), perpendicular to the y-axis
The equation of the line is y=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answer:
-7
Step-by-step explanation:
Because the step in puting slope is respectly (x,y)
Use the distributive property to write an equivalent expression.
9(w + 3x)
9/4 divided 5/8
I don’t know help me
Answer:
9/4 divided 5/8 = 3.6 (Ans)
Answer
9/4 ÷ 5/8 = 3.6
i hope it will help you
Which graph represents an even function?
Answer:
the first one, it's linier (even)
The first graph is the one that represents an even function. See why below.
What is a even function?An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.
The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.
Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.
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PLEASE SOMEBODY PLEASE HELP ME ANSWER THIS QUESTION RIGHT PLEASE I REALLY NEED HELP NOOOO SCAMS PLEASE
Step-by-step explanation:
Please forgive me if I'm wrong but I would choose A, B, and E.
Yovani can do 8 math problems in 1 3/5 of a
minute. How many problems can he
complete per minute?
Answer:
5 Problems
Step-by-step explanation:
Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]
Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]
Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]
Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]
Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]
Cross out the common factor: 5
get the result: 5
Answer: 5
I don’t understand someone please give me answer
Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12.8 meters, the lengths of J N and N L are 3.7 meters, and the lengths of K M and M L are 5.9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4.4m MN = ML
Answer:
1 and 3
Step-by-step explanation:
Answer:
B) N is the midpoint of line segment JL.
D) MN = 1/2 KJ
Step-by-step explanation:
edgeeee
Which inequality represents this sentence?
A number is at least 65
On < 65
On > 65
On > 65
On < 65
Answer:
n ≥ 65Step-by-step explanation:
A number is at least 65. It means the number n can be 65 or greater.
Its translation is:
n ≥ 65The answer options don't have this included.
Let the number be n
At least 65 means the number is equal to 65 or greater than 65.Hence here we use greater than equal to sign.Inequality:-
[tex]\\ \sf{:}\Rrightarrow n\geqslant 65[/tex]
Solve (x – 3)2 = 49. Select the values of x.
–46
-4
10
52
Answer:
There is no answer from my working the answer should be 55÷2
The value of x in the expression is 55/2 or 27½
From the question given above, we obtained:
(x – 3)2 = 49The value of x can be obtained as follow:
(x – 3)2 = 49
Clear the bracket
2x – 6 = 49
Collect like terms
2x = 49 + 6
2x = 55
Divide both side by 2
x = 55 / 2 or 27½
Thus, the value of x is 55/2 or 27½
No option is correct.
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To make a certain shade of paint, an artist needs to mix yellow with blue paint at a ratio of 3 to 5. He needs 32 ounces of paint.
Solution:
Step-by-step explanation:
I guess the question is how many ounces are needed per paint. right ?
the colors are mixed in a ratio 3:5.
what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.
the total is 32 ounces.
so, each of the 8 units represents
32/8 = 4 ounces.
and now we know :
yellow has 3 units
3×4 = 12 ounces
blue has 5 units
5×4 = 20 ounces
What did Diocletian do to change the way the Roman Empire was ruled?How would we add -3 + (-9) on the number line?
Carlos can read 30 pages per hour in the 270 page book he is reading. At this rate, how long will it take him to finish his book?
Answer:
9 hours
Step-by-step explanation:
270/30=9
Order the expressions
Answer:
1. 3^4 x 3^3 < 3^12
2. 3^3 x 4^3 < 12^4
3. 3^4 x 4^3 > 12^3
Please help me with this question.
Answer:
TrueTrueStep-by-step explanation:
Dilation does not affect angles or the direction of lines. The lines of a dilated figure will be parallel to the original, unless they go through the center of dilation.
Line CD does not go through P, so C'D' is distinct and parallel to it (True).
Angles B and B' are congruent. (True)
Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.
Functions are used to represent graphs, and vice versa.
The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]
The graph (see attachment) is an absolute value graph.
An absolute value graph is represented as:
[tex]f(x) =a |x - h| + k[/tex]
Where
[tex]Vertex = (h,k)[/tex]
The vertex is the minimum or the maximum point on the graph.
So, we have:
[tex]Vertex = (-4,3)[/tex]
The function becomes
[tex]f(x) =a |x + 4| + 3[/tex]
The function also passes through the point (-1,0).
So, we have:
[tex]0 =a |-1 + 4| + 3[/tex]
[tex]0 =a |3| + 3[/tex]
Remove the absolute bracket
[tex]0 =3a + 3[/tex]
Subtract 3 from both sides
[tex]3a =- 3[/tex]
Divide both sides by 3
[tex]a =- 1[/tex]
Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]
[tex]f(x) =- |x + 4| + 3[/tex]
Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]
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How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
A
Step-by-step explanation:
For every additional goodie bag, you're adding the original number to itself and so on...
Example:
1 Goodie bag = Candy: 2 Toys: 3
2 Goodie bags = Candy: 4 Toys: 6
3 Goodie bag = Candy: 6 Toys: 9
HELP ME GUYS PLEASE!!! :)
Answer:
(10,-2)
Step-by-step explanation:
You can see that the first equation has already given as x-isolated equation aka x = 10.
With this, you can substitute x = 10 in the second equation 3x+5y = 20 then solve for y.
3(10)+5y=20
30+5y=20
Subtract both sides by 30.
5y=-10
Divide both sides by 5.
y=-2
So from x = 10 and y = -2, we can write as (10,-2) in coordinate form.
Answer:
(10,-2)
Step-by-step explanation:
since they already give u x, u can just sub it into the other equation
3(10)+5y=20
30+5y=20
5y=20-30
5y=-10
y=-2
What is 0.2 rounded to the nearest whole number?
Answer:
0
Step-by-step explanation:
since 2 isnt up to 5, it cannot equate to 1
Rihanna used this number line to solve this problem. Which problem could she have been solving
Answer:
what kind kind of prob
Step-by-step explanation:
dp you have a Story
Answer:
there is no picture to explain your qustion and im confused
Step-by-step explanation:
Convert each of the ingredient amounts below from ounces to fractions
Example: 8.2 = 8 2/10 *
2 points
Puppy Chow Trail Mix
• Trail Mix:
• 1 (12.65 ounce) can salted peanuts
• 1 (10.5 ounce) package miniature marshmallows
• 1 (3.2 ounce) package sunflower seeds
• 1(1.69 ounce) package candy-coated milk chocolate pieces (such as M&M's(R))
• 1 (1.5 ounce) box raisins
Your answer
Answer:
12.65 = 12 65/100
= 12 13/20
10.5 = 10 5/10
= 10 1/2
3.2 = 3 2/10
= 3 1/5
1.69 = 1 69/100
1.5 = 1 5/10
= 1 1/2
Step-by-step explanation:
The weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.
Given that, salted peanuts = 12.65 ounce.
How to convert decimals to fractions?Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value.
Now, salted peanuts = 12.65 ounce in fraction is
12.65 = [tex]12 \frac{65}{100}[/tex]
= [tex]12 \frac{13}{20}[/tex] ounce
10.5 ounce package miniature marshmallows
In fraction 10.5 = [tex]10 \frac{5}{10}[/tex]
= [tex]10 \frac{1}{2}[/tex] ounce
3.2 ounce package sunflower seeds
In fraction 3.2 = [tex]3 \frac{2}{10}[/tex]
= [tex]3 \frac{1}{5}[/tex] ounce
1.69 ounce package candy-coated milk chocolate pieces
In fraction [tex]1 \frac{69}{100}[/tex]
1.5 ounce box raisins
In fraction [tex]1 \frac{5}{10}[/tex]
= [tex]1 \frac{1}{2}[/tex]
Therefore, the weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.
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HELP ME PLS THIS IS GRAPHING MATH ITS DUE VERY SOON PLS HELP BEFORE A BOT EATS MY QUESTION!!!!
Answer:
.
Step-by-step explanation:
.
Answer: I quessed on this with what I learned and we never learned it this way so im not sure if this is correct
It's probably not right
Step-by-step explanation:
Simplifying
13x + 6y = 180
Solving
13x + 6y = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
13x + 6y + -6y = 180 + -6y
Combine like terms: 6y + -6y = 0
13x + 0 = 180 + -6y
13x = 180 + -6y
Divide each side by '13'.
x = 13.84615385 + -0.4615384615y
Simplifying
x = 13.84615385 + -0.4615384615y
