Answer:
x > 15
Step-by-step explanation:
At least means that x will be greater than 15 so it is x > 15.
a) What is the equation of line A?
B
b) What is the equation of line B?
y
10
9
8
7
6
5
4
3
2
1
А
O' 1 2 3 4 5 6 7 8 9 10
gg
Step-by-step explanation:
Square root of y^2 over y^21
Answer:
The answer is 1/y^7
[tex] \looparrowright \sf \sqrt{ \dfrac{ {y}^{7} }{ {y}^{21} } } [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \sqrt{ \dfrac{ {y}^{0} }{ {y}^{21 - 7} } } [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \sqrt{ \dfrac{ {y}^{0} }{ {y}^{14} } } [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \sqrt{ \dfrac{ 1}{ {y}^{14} } } [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \dfrac{1}{ {y}^{7} } [/tex]
Can someone help me find the diameter?
also what is a diameter even?
Answer:
24
Step-by-step explanation:
area of circle = πr²
πr² = 144π
Cancel out π
r² = 144
r = √144
r = 12
diameter = 2 x radius
diameter = 2 x 12
diameter = 24m
* diameter is the "width of a circle", the distance from the widest points of the circle
Use the figure to solve the inequality
Answer:
c hope this help
Step-by-step explanation:
You want to build a skateboard ramp that is 12 feet long and reaches a
height of 3 feet. What is the angle of elevation of the ramp? Round your
answer to the nearest tenth.
Answer:
14.0362 degrees (round to 14.0 degrees)
Step-by-step explanation:
1. Assume that the math can be deduced by the sides of a triangle due to the "sightline" nature of the problem. This is a classic trig problem you will see.
2. The base of the triangle would be 12 feet and one of the legs of the triangle will be 3 feet.
3. Arctangent will provide the angle of elevation. The equation can be written as arctan(h/b), in this case h = height and b = base.
4. The calculation will be arctan(3/12) which translates to 14 degrees which is, fortunately, the angle of elevation.
I recommend trying this method out with another example such as the angle of elevation between you and the next plane you see in the sky. For example, the height difference between you and the plane is 7 miles and the plane is x miles away. Again we can create a simple triangle to discover many interesting details.
Family spends $240.000 per week on food. If this is 6% of their income,what is their income??
their income is "x", which oddly enough is the 100% of their income, we also know that 16% of it 240 bucks, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 240&16 \end{array}\implies \cfrac{x}{240}=\cfrac{100}{16}\implies 16x=24000 \\\\\\ x=\cfrac{24000}{16}\implies x=1500[/tex]
Colin got 16 out of 80 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.
Answer:4/5
Step-by-step explanation:
=80 out of 80 - 16 out of 80
=64 out of 80
Answer:
4/5
Step-by-step explanation:
substract the number of questions he got correctly from the total number of the questions to yield 80-16=64
then set the fraction as number of incorrect questions as the numerator and the total number of questions as the denominator
64/60=4/5
What is the highest common factor of 40 and 25?
Answer:
5 is the highest common factor of 40 and 25
Helped by QueenTLoveHave an nice day
A school bus can hold 39 students. A school district has 24 buses. Use compatible numbers to estimate about how many students the buses can transport.
You can multiply
39 • 24 and it gives you = 936
Tommy has 5 more toy cars than billy does tommy has 12 toys cars how many cars does billy have
Answer:
Billy has 7 toy cars.
Step-by-step explanation:
If Tommy has 12 toy cars, and Billy has 5 less cars than Tommy, then Billy has 7 toy cars.
12 - 5 = 7
Divide the following
Answer:
69/61+-34/61i
Step-by-step explanation:
i think this is correct, hope this helped!
Warren is going to send some flowers to his wife. Weston Florist charges $2 per rose, plus $40 for the vase. Harper's Flowers, in contrast, charges $3 per rose and $30 for the vase. If Warren orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. How many roses would there be? Write a system of equations, graph them, and type the solution.
Step-by-step explanation:
first you have to find the lcm of 42 and 33
=462
then you're going to take the lcm and subtract the price of the vase from the lcm
=>462-40
=422
then now you're going to take the answer and divide it by the cost of each rose
=>422 ÷ $2
=211 roses at Weston Florist
then you're going to do the same for Harper's flowers
=>462-30
=432
=>432÷3
=144 roses at Harper's Flowers
Help me please please please
Answer:
24
Step-by-step explanation:
First find the volume of box A (12x2x2)
A=48
Next since box B is half the volume of box A divide 48 by 2
B=24
:)
The area of the triangle is
square centimeters.
Answer:
35cm²
Step-by-step explanation:
(7 x 10) ÷ 2 = 35
Area equation: (b x h) ÷ 2 = a
GIVING BRAINIEST IF CORRECT!!!!
[tex] \sqrt{45} + \sqrt{18} [/tex]
Let us write the expressions with their factors.[tex] = \sqrt{3 \times 3 \times 5} + \sqrt{2 \times 3 \times 3} \\ = \sqrt{ {3}^{2} \times 5 } + \sqrt{ {3}^{2} \times 2 } [/tex]
Here, square root and the square of [tex] {3}^{2} [/tex] will get cancelled out.[tex] = 3 \sqrt{5} + 3 \sqrt{2} [/tex]
Now, take 3 as common.[tex] = 3( \sqrt{5} + \sqrt{2} )[/tex]
Answer:
[tex]3( \sqrt{5} + \sqrt{2} )[/tex]
Hope you could understand.
If you have any query, feel free to ask.
There are 90 students in a speech contest. Yesterday, 1/6 of them gave their speeches. Today, 2/5 of the remaining students gave their speeches. How many students still haven’t given their speeches?
Answer:
45 students still haven't given their speeches
Step-by-step explanation:
90/6 = 15
90-15 = 75
75/5 = 15
15*2 = 30
75-30 = 45
pls mark me brainliest
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 [tex]y=acos(bx+c)+d[/tex] where [tex]a[/tex] is the amplitude, [tex]\frac{2\pi}{b}[/tex] is the period, [tex]-\frac{c}{b}[/tex] is the phase/horizontal shift, and [tex]d[/tex] is the average/midline.
We already know our amplitude of [tex]a=3[/tex] from part A.
Since our period is given to us as 26 seconds, then we can use the equation [tex]\frac{2\pi}{b}=26[/tex] to find [tex]b[/tex], which happens to be [tex]b=\frac{\pi}{13}[/tex].
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 [tex]sin(x)=cos(x-\frac{\pi}{2})[/tex] which shifts the cosine graph [tex]\frac{\pi}{2}[/tex] units to the right. This means that [tex]c=-\frac{\pi}{2}[/tex], making our phase shift [tex]-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5[/tex], or 6.5 feet to the right
Our average/midline would be [tex]d=12[/tex] as given as the average height by the problem.
Therefore, the function is [tex]f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12[/tex]
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,
[tex]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\\\\[/tex]
Let's isolate the C term
[tex]\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}[/tex]
Answer: [tex]h = 3\cos\left(\frac{\pi}{13}\left(t-\frac{13}{2}\right)\right)+12\\\\[/tex]==========================================================
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 secondsHow do i solve for number 3
Answer:
Part 2. Evaluate: C(-1).
Step-by-step explanation:
How do i solve for number 3.
Help me with this question please
Problem 3: Solve the differential equation
[tex]y' + 2y = 3[/tex]
Answer:
[tex]y=Ce^{2x}+\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]y'+2y=3\\\\\frac{dy}{dx}+2y=3\\ \\\frac{dy}{dx}=3-2y\\ \\dy=(3-2y)dx\\\\\frac{1}{3-2y}dy=dx\\ \\\int\limits {\frac{1}{3-2y}dy=\int dx}\\\\\frac{1}{2}ln(|3-2y|)=x+C\\\\ln(|3-2y|)=2x+C\\\\3-2y=e^{2x+C}\\\\3-2y=Ce^{2x}\\\\-2y=Ce^{2x}-3\\\\y=-\frac{Ce^{2x}}{2}+\frac{3}{2}\\ \\y=Ce^{2x}+\frac{3}{2}[/tex]
What is 1/6 ÷ 6 =
SHOW YOUR WORK
Answer:
1/36
Step-by-step explanation:
6 can be put over 1.
Our equation:
[tex]\frac{1}{6} \div\frac{6}{1}[/tex]
Find the reciprocal (opposite) of 6/1, then change to sign to multiplication:
[tex]\frac{1}{6} \times\frac{1}{6} =?[/tex]
Solve:
[tex]\frac{1}{6} \times\frac{1}{6} =\frac{1}{36}[/tex]
Your answer is 1/36.
An item is priced at $13.14. If the sales tax is 7%, what does the item cost including sales tax?
A.
$14.06
B.
$0.92
C.
$27.20
D.
$22.34
Answer:
A - $14.06
Step-by-step explanation:
1) Divide :
7 / 100 = 0.07
2) Multiply :
0.07 * 13.14 = $0.9198
3) Add :
0.9198 + 13.14 = $14.0598
4) Round to the nearest decimal :
So if you round you would get $14.06
Answer:
Option A
Step-by-step explanation:
Given the following question:
7% of $13.14
To find the answer we simply use the formula to calculate percentage.
[tex]\frac{t\times i}{100}[/tex]
[tex]\frac{7\times13.14}{100} =91.98\div100=0.9198[/tex]
[tex]0.9198[/tex]
Round to the nearest cent:
[tex]0.9198[/tex]
[tex]9>5[/tex]
[tex]0.92[/tex]
Add the initial cost and the sales tax:
[tex]13.14+0.92=14.06[/tex]
[tex]14.06[/tex]
The items after a 7% sales tax costs "$14.06 dollars" or option A.
Hope this helps.
Jenna picked a pumpkin at the pumpkin patch that weighed 8 and 1 half pounds, Her little sister, sandy, picked a pumpkin that weighed one half of that amount, how much did sandys pumpkin weigh
Answer:
4 pounds and 1/4 ounces
Step-by-step explanation:
8 and 1 half pounds = 8.5 Ibs
One half of 8.5 = 8.5/2 = 4. 25 Ibs or 4 & 1/4 or 4Ibs 4 ounces.
4.
Spiral Review
3. Coach Clarke has 48 students
in his P.E. class. He places the
students in teams of 6 for an
activity. How many teams can
Coach Clarke make?
Answer:
8 teams
Step-by-step explanation:
48/6 = 8
The price of a car has been reduced from $13,500 to $10,125. What is the percentage decrease of the price of the car?
A.
75%
B.
33.75%
C.
25%
D.
2.5%
Answer:
C. 25%
Step-by-step explanation:
.25x13,500=3,375
13,500-3,375=10,125
Hope this helps. :)
Use synthetic division to solve (x cubed minus x squared minus 17 x minus 15) divided by (x minus 5). What is the quotient?
x squared + 4 x + 3
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
x cubed + 4 x squared + 3 x
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction
Answer: A
Step-by-step explanation:
The quotient is x² + 4x +3. Then the correct option is A.
What is the quotient?A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.
The quotient is calculated as:-
x - 5 ) x³ - x² - 17x -15 ( x² + 4x + 3
-x³ + 5x²
_________________
4x² - 17x - 15
-4x² + 20x
_________________
3x -15
-3x + 15
_________________
0
Hence, the quotient is x² + 4x +3.
To know more about quotient follow
https://brainly.com/question/673545
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If 2x - 8 = 0, find the value of x
Answer:
x = 4
Step-by-step explanation:
2x - 8 = 0
2x = 8
x = 8/2
x = 4
Create an equation to solve the following word problem:
An electrician has placed two electric outlet boxes on each wall in a new home plus 5 additional electric outlet boxes in the garage. She installed 37 electric outlet boxes in total for the entire home (including the garage). On how many walls did she installed electric outlet boxes?
Answer:
2+5+30/2=18.5
or,
37/2=18.5
What is the probability of rolling a prime number of a standard 20-sided die? (1 is not a prime number.) a. 7/20 b. 2/5 c. 9/20 d. 1/2 Please select the best answer from the choices provided A B C D
Answer: Answer: 2/5. Step-by-step explanation: The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19. A total of 8. ... = 2/5. Still stuck? Get 1-on-1 help
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is the probability of rolling a prime number of a standard 20-sided die? (1 is not a prime number.)
a.
7/20
b.
2/5
c.
9/20
d.
1/2
What fractional part of one semicircle does the labeled angle represent? Express your answer as a fraction in simplest terms. Then, express the labeled angle in radian measure.
Answer:
5/18 of a semicircle
5π/18 radians
Step-by-step explanation:
50/180 = 5/18 of a semicircle
5π/18 radians