Answer:
Sqrt(5)×Sqrt(5) is rational
Step-by-step explanation:
Think square root of perfect squares.
Sqrt(perfect square) is rational.
Example sqrt(25)=5.
5=Sqrt(25) can be written as a product of irrational numbers. That is, sqrt(5)×sqrt(5).
What is three fourths x three fourths x three fourths?
Answer:
3/4 x 3/4 x 3/4 = 27/64 (twenty-seven / sixty-four)
Answer:
27/64
Step-by-step explanation:
Evaluate the expression 2b to the third power+ 5 when b=5
Answer:
1005
Step-by-step explanation:
10 to the third power + 5 =
1000 + 5 =
1005
Hope that helps!
What are the domain and range of the function f of x equals the quantity of x squared minus 3 x minus 28, all over x plus 4?
domain is x is all real numbers where x does not equal 4 comma range is y is all real numbers where y does not equal 11
domain is x is all real numbers where x does not equal 7 comma range is y is all real numbers where y does not equal negative 4
domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11
domain is x is all real numbers where x does not equal negative 7 comma range is y is all real numbers where y does not equal 4
The domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11. Option C
What is the domain of a function?The domain of a function refers to the entire area for which the function returns a value. The function in this case is; f(x) = x^2 - 3x - 28/x + 4. The domain of the function will be real numbers except -4.
Hence, we can say that domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11.
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Answer:
The answer is C.
A sales intern in a US metals company uses this graphic to follow industry trends and make informed business decisions. What graphic evidence best supports the claim that India is unlikely to be a strong competitor in the steel production industry in the future? India’s rate of steel production has gradually risen over China’s. India’s level of steel production in 2009 was much lower than that of all other countries. India’s total steel production and rate of production over a 30-year period has remained flat. China, Japan, and the US have had a much greater experience than India in producing steel
The graph backs up the assertion that India is unlikely to be a serious competitor in the steel production industry in the future because China, Japan, and the US have far more experience producing steel than India does.
What is an industry?A group of businesses or organisations that offer comparable goods or services is referred to as an industry. A few examples of the factors that can be used to define an industry include the kind of products or services they offer, their manufacturing procedures, the technology they use, or the customers they aim to serve. Development of industries was a result of the Industrial Revolution.
The graph shows that China, Japan, and the US all have a lot more experience making steel than India does, and India is not expected to become a significant competitor in the near future. Notwithstanding the nation's economic crisis, the industry—despite being one of the sectors that suffered the most—continues to play a vital role in the expansion of the economy.
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3x-2y=1
-x+y=9
Solve by elimination
Answer:
x=19 and y=28
Step-by-step explanation:
3x-2y=1
-x+y=9 which is x=y-9
Substitute the value of x=y-9 in the equation 3x-2y=1
3(y-9)-2y=1
3y-27-2y=1
y-27=1
y=27+1=28
Substitute the value of y=28 in the equation -x+y=9
-x+28=9
x=28-9=19
Type the correct answer in the box. Use numerals instead of words.
Answer:
2 squared - 7 + -4
Step-by-step explanation:
Suppose that you borrow $3000.00 from a friend and promise to pay back $4935.00 in 3 years. What simple interest rate will you pay? The simple interest rate is % (Round to the nearest tenth as needed.)
Answer:
the simple interest rate is 18.00%
Step-by-step explanation:
The computation of the simple interest rate is shown below:
Amount = Principal × (1 + rate)^years
$4,935 = $3,000 × (1 + rate)^3
After solving it, the rate of percentage is 18.00%
Hence, the simple interest rate is 18.00%
In Exercises 13 and 14, determine whether the situation shows direct variation.
Explain your reasoning.
13. Bowling lane rental costs $3.00 per hour.
14. A family water park ticket costs $20 plus $5 for each tube.
15. In a rewards program, the number p of points a member earns varies directly
with the number d of dollars spent in the store. A member who spends $10 earns
5 points. Find the number of points a member earns for spending $80.
Answer:
tbh choose the biggest number
Step-by-step explanation:
1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, How much is paid for that
month?
Year?
1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.
To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:
Step 1: Determine the number of days covered in June.
Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.
Step 2: Calculate the daily rate.
To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:
Daily rate = 6,144 / 365
Step 3: Calculate the amount paid for June.
The amount paid for June can be found by multiplying the daily rate by the number of days covered:
Amount paid for June = Daily rate * Number of days covered in June
Step 4: Calculate the amount paid for the year.
To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):
Amount paid for the year = Daily rate * 365
Now let's perform the calculations:
Step 2: Daily rate
Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)
Step 3: Amount paid for June
Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)
Step 4: Amount paid for the year
Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)
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What is the answer to this?
Answer:
2x+1=9
Step-by-step explanation:
\(\sqrt{2x+1}+5=2\)
\(\sqrt{2x+1}=-3\)
\(2x+1=9\)
If they want you to solve, then you can go farther.
2x=8
x=4
Check for extraneous solutions:
\(\sqrt{2(4)+1} +5 = 2\)
Fred hires Trident Electrik Company to install a new light fixture. The electric company will charge an initial fee for the service call. In addition, the total cost of the job includes an installation fee that will depend on how long the job takes. This situation can be modeled as a linear relationship. 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 $25 $50 $75 $100 $125 $150 $175 $200 $225 $250 x y Time (hours) Total cost What does the y-intercept of the line tell you about the situation?
Answer:
Step-by-step explanation:
your mom
Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?
Answer:
-9
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the exact surface area of a sphere with a diameter of 13cm
Answer:
A = 530.929158457
Answer:
Area = 706.8583471
Explanation:
The used law to measure the surface area of the sphere is
\(area \: = 4\pi \: {r}^{2} \)
Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:
\(4\pi \: {7.5}^{2} = 706.8583471\)
If you like my explanation please give me 5 stars.Find X. Enter a number for your answer. Do not type the symbol for degree or the
word "degrees"
Use angle sum property (the 3 angles in a triangle sum up to 180°).
2x + x + 54 = 180
3x + 54 = 180
3x = 180 - 54
3x = 126
x = 126/3
x = 42
_____
Hope it helps ⚜
x = 42
Explanation:-We know that,Angles of a triangle adds to 180°
So,=> 2x + x + 54 = 180
=> 3x = 180 – 54
=> 3x = 126
=> x = 126/3
=> x = 42
(x = 42° ; 2x = 84°)
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Mili has 5 rocks in his rock collection .he finds 40 rocks outside that he wants to put in his collection . If he places the rocks into boxes of 9 how many boxes of rocks will he have in his collection
Answer:
40 + 5 = 45
45 ÷ 9 = 5
Therefore, he will have 5 boxes of rocks.
1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26 seconds, and the average height of the bottle is 12 feet. The bottle moves in a manner such that the distance from the highest and lowest point is 6 feet. A cosine function can model the movement of the message in a bottle in relation to the height.
Part A: Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time, t. (5 points)
Part B: Assuming that at t = 0 the message in a bottle is at its average height and moves upwards after, what is the equation of the function that could represent the situation? (5 points)
Part C: Based on the graph of the function, after how many seconds will it reach its lowest height? (5 points)
Show/Explain answer for each Part for the answer please
Answer:
See below for answers and explanations (along with a graph attached)
Step-by-step explanation:
Part A
The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet
Part B
The graph's function would be in the form of \(y=acos(bx+c)+d\) where \(a\) is the amplitude, \(\frac{2\pi}{b}\) is the period, \(-\frac{c}{b}\) is the phase/horizontal shift, and \(d\) is the average/midline.
We already know our amplitude of \(a=3\) from part A.
Since our period is given to us as 26 seconds, then we can use the equation \(\frac{2\pi}{b}=26\) to find \(b\), which happens to be \(b=\frac{\pi}{13}\).
Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity \(sin(x)=cos(x-\frac{\pi}{2})\) which shifts the cosine graph \(\frac{\pi}{2}\) units to the right. This means that \(c=-\frac{\pi}{2}\), making our phase shift \(-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5\), or 6.5 feet to the right
Our average/midline would be \(d=12\) as given as the average height by the problem.
Therefore, the function is \(f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12\)
Part C
Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).
Part A
The distance from the highest and lowest point is 6 feet. Cut this in half to find the amplitude: 6/2 = 3. The amplitude represents the vertical distance from the midline (aka average height) to either the peak or valley points.
The period is 26 seconds because this is the time difference from one max height to the next max height. This is one of a few ways to measure a full cycle. Another way is from min height to the next min height.
Answers:Amplitude = 3 feetPeriod = 26 seconds==========================================================
Part B
In this case, the template for cosine is
h = Acos(B(t-C))+D
We found the amplitude A = 3 from the previous section.
The period is T = 26 which means B = 2pi/T = 2pi/26 = pi/13
D = 12 because the average height is 12 feet. The average height is always on the midline.
We are told that t = 0 leads to h = 12, so,
\(h = A\cos\left(B\left(t-C\right)\right)+D\\\\h = 3\cos\left(\frac{\pi}{13}\left(t-C\right)\right)+12\\\\12 = 3\cos\left(\frac{\pi}{13}\left(0-C\right)\right)+12\\\\3\cos\left(\frac{\pi}{13}\left(-C\right)\right) = 0\\\\\cos\left(\frac{\pi}{13}C\right) = 0\\\\\)
Let's isolate the C term
\(\cos\left(\frac{\pi}{13}C\right) = 0\\\\\frac{\pi}{13}C = \arccos(0)\\\\\frac{\pi}{13}C = \frac{\pi}{2}\\\\C = \frac{\pi}{2}*\frac{13}{\pi}\\\\C = \frac{13}{2}\)
Answer: \(h = 3\cos\left(\frac{\pi}{13}\left(t-\frac{13}{2}\right)\right)+12\\\\\)==========================================================
Part C
A full period is 26 seconds.
At t = 0 the bottle is at a height of 12 feet
26 seconds later, the bottle is back again at 12 feet to repeat another cycle indefinitely.
At every quarter cycle, the object is either at a min point, max point, or at the average (midline).
So every 26/4 = 6.5 seconds the object will be in one of those places.
In this case, the object starts at 12 feet, goes up to the max 15 feet when t = 6.5
Then another 6.5 seconds later it's back to the midline again. Another 6.5 seconds later (total time is now 6.5*3 = 19.5 seconds) the bottle dips down to the min height of 9 feet. You should see that (19.5, 9) is one of the infinitely many minimum points on this particular cosine curve.
Answer: 19.5 secondsWill someone be able to help me with this math problem, the picture is down below. Please help
The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;
Side A'B' will be parallel to side AB
Side A'C' will be parallel to side AC
Side BC will lie on the same line as side BC
What is a dilation transformation?A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.
The possible options, from a similar question on the internet are;
Be parallel to
Be perpendicular to
Lie on the same line as
The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;
PB' = 3 × PB
PA' = 3 × PA
PC' = 3 × PC
Therefore; The side B'C' will be on the same line as the side BC
The Thales theorem, also known as the triangle proportionality theorem indicates that;
The side A'C' will be parallel to the side AC
The side A'B', will be parallel to the side AB
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A room is 12 m long,10m broad and 6 m high. It has a door of size 1m×2m and a windows of size 2m × 1.5m. Calculate the cost of plastering the walls at the rate of Rs 15/m².
The cost of plastering the rectangle walls at rate of Rs.15/\(m^2\) is Rs.5565.
What is rectangle?
With four sides, four corners, and four right angles (90°), a rectangle is a closed 2-D object. A rectangle's opposing sides are equal and parallel. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The opposite sides of a quadrilateral are equal and parallel, and all the angles are equal. Around us, there are several rectangle-shaped items. Two dimensions, the length and breadth, define each rectangle shape. The width and length of a rectangle are its longer and shorter sides, respectively.
Given,
Length of room =12m
Breadth of room =10m
Height of room =6m
So, Area of four walls =2(l+b)×h
=>area of four wall=2(12+10)×6=264\(m^2\)
Now Area of 2 doors and 3 windows =(2×1×2+3×2×1.5)
=> area of 2 doors and 3 windows = 13\(m^2\)
Area of ceiling =l×b=12×10=120 \(m^2\)
Thus, total area for plastering =(264−13+120)= 371\(m^2\)
Hence, the cost of whitewashing =Rs.(371×15)=Rs.5565.
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what is the volume of the cylinder below height 15 radius 11
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
use the function f(x) = 3x+8. evaluate the function for f(1). 8, 11, 3
Answer: 11
Step-by-step explanation:
F(1) = 3(1) + 8
F(1) = 3 + 8
F(1) = 11
You just substitute the x in for 1 and solve from there.
5. Given: BCL CD, ABL AD, BD bisects 2CDA.
Prove: ABCD= ABAD.
Help with #6 is also needed!
ΔBCD is congruent to ΔBAD
5 . In ΔBCD and ΔBAD ,
1 . BC⊥CD , AB⊥AD then ∠BCD = ∠BAD = 90°
2 . BD bisects ∠CDA in two points then ∠1 = ∠2
3. BD = BD common line
4 . If two angles are equal then third is also equal to each other i.e.
∠CBA = ∠ABD
Therefore , by ASA OR RHS property of congruency
ΔBCD ≅ ΔBAD
6 . In ΔPTR and ΔMRT ,
1 . PT⊥TR , MR⊥TR then ∠PTR = ∠TMR= 90°
2. PR = TM given
3 . TR = TR common line
Therefore , by SAS property of congruency
ΔPTR ≅ ΔMRT
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What is the area of
the segment? Express
the answer in terms
of pi.
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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Listed below are amounts (in millions of dollars) collected from parking meters by a security company in a certain city. A larger data set was used to convict 5 members of the company of grand larceny. Find the mean and median for each of the two samples and then compare the two sets of results. Do the limited data listed here show evidence of stealing by the security company's employees?
Security Company:
1.2
1.4
1.2
1.4
1.7
1.5
1.8
1.5
1.5
1.6
Other Companies:
1.7
1.8
1.6
1.9
1.6
2.2
1.8
1.9
1.9
2.3
Question content area bottom
Part 1
Find the means.
The mean for the security company is $ enter your response here million and the mean for the other companies is $ enter your response here million.
(Type integers or decimals rounded to two decimal places as needed.)
Please stop getting them wrong for me!!
Answer:
Step-by-step explanation:
what is the area in square centimeters, of the trapezoid below?
The area in square centimeters, of the trapezoid below is equal to 84.4 cm².
How to calculate the area of a trapezoid?In Mathematics and Geometry, the area of a trapezoid can be calculated by using this mathematical equation (formula):
Area of trapezoid, A = ½ × (a + b) × h
Where:
a and b represent the base areas of a trapezoid.
h represent the height of a trapezoid.
By substituting the given side lengths into the formula for the area of a trapezoid, we have the following:
Area of trapezoid, A = ½ × (7.9 + 13.2) × 8
Area of trapezoid, A = 84.4 cm².
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Hugo received $100 dollars for his birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his saving
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
v
The equation would be written as:
y=
X+
<
The x in this equation represents:
The y in this equation represents:
The linear equation for his balance over time is given by:
y = 20x + 100.
The x-intercept is of 20, which is the amount by which the balance increases each week.The y-intercept is of 100, which is the initial balance.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, he stats the balance with the birthday present of $100, and gets an allowance of $20 a week, hence the equation for the balance after x weeks is given by:
y = 20x + 100.
Hence:
The x-intercept is of 20, which is the amount by which the balance increases each week.The y-intercept is of 100, which is the initial balance.More can be learned about linear functions at https://brainly.com/question/24808124
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HELP
Tickets for a dance recital cost $16 for adults and $12 for children. The dance company sold 340 tickets, and the total
receipts were $4,800. How many adult tickets and how many child tickets were sold?
Answer:
adult tickets: 180
child tickets: 160
Step-by-step explanation:
adult tickets =x
child tickets =y
1. create a function
x+y=340
16x + 12y = 4800
2. solve
3. x = 180, y = 160 which also means 180 adult tickets were sold and 160 child tickets were sold
11/12,33/36 equel a proportion?
Answer:
This is an equal proportion
Step-by-step explanation:
Which table represents a non proportional linear relationship
Answer:
u need to add a picture cuz i dunno the problem
Step-by-step explanation:
How many pints are there in 2 gallons and 2 quarts