Answer:
+When the graph is below the x-axis, the barnacle is underwater.
+The graph dips below the x-axis three times between x = 0 and x = 20, so the barnacle goes underwater three times.
+Every time the barnacle goes underwater, the boat travels pi meters (one half the circumference of the wheel) before the barnacle comes back up, so the barnacle covers 3pi meters underwater between x = 0 and x = 20
Step-by-step explanation:
To determine the number of times that the times the barnacle went beneath the water level, it can be illustrated when the graph is below the x-axis.
How to illustrate the graph?It should be noted that the graph dips below the x-axis three times between x = 0 and x = 20, therefore the barnacle goes underwater three times.
Also, every time the barnacle goes underwater, the boat travels pi meters before the barnacle comes back up.
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A King wanted to replace his Prime-Minister but didn't want to upset him too much. So he called the Prime-Minister to his chamber and put two pieces of paper in his briefcase. He told the Prime-Minister that "On one piece of paper it says 'leave' and on the second piece of paper it says 'stay'". The piece of paper that you pull out of the briefcase will decide your fate." The Prime-Minister realized that both pieces of paper say 'leave'. What should the Prime-Minister do to be able to keep his position?
Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.
Step-by-step explanation:
PLEASE PLEASE HELP ME A pinecone drops from a tree branch that is 36 feet above the ground. The function h = -16t2 + 36 is used. If the height h of the pinecone is in feet after t seconds, at about what time does the pinecone hit the ground? Could 2 seconds be a reasonable answer to this model?
Answer:
T = 1.5s
Step-by-step explanation:
Hello,
To find the time the pincone hits the ground, we need to use the equation given.
Note that h = 0 when the pinecones hits the ground.
This question relates to motion under gravity.
h = -16t² + 36
0 = -16t² + 36
Make t² the subject of formula
16t² = 36
t² = 36 / 16
t² = 2.25
Take the square root of both sides
t = √(2.25)
t = 1.5s
The time it takes the pinecone to hit the ground is 1.5s.
While watching a circus show, I counted out the number of acrobats and elephants. I counted 40 legs and 15 heads. How many acrobats did I see in the show?
Answer:
y=10 ( number of acrobat)
Step-by-step explanation:
let x be the elephant and y the acrobat
elephant has 4 legs and acrobat 2
4x+2y=40
x+y=15 ⇒x=15-y
substitute for x in the equation:
4(15-y)+2y=40
60-4y+2y=40
-2y=40-60
y=-20/-2
y=10 ( number of acrobat)
number of elephant=15-10=5 elephants
What is the diameter of the circle whose center is at (6, 0) and that passes through the point (2, -3)?
Answer:
10
Step-by-step explanation:
[tex]\left(x-h\right)^{2}+\left(y-k\right)^{2}=r^2[/tex]
[tex]\left(x-6\right)^{2}+\left(y-0\right)^{2}=r^2\\[/tex]
We used (2,-3)
[tex]\left(2-6\right)^{2}+\left(-3-0\right)^{2}=25[/tex]
[tex]r^2=25\\[/tex] , so [tex]r = 5[/tex]
But this one is asking for the diameter, and to find it. It's simply 2r.
2*5 = 10
Exactamente a las 6:45 am mi reloj se daño y comenzo a caminar en sentido contrario a la velocidad correcta, ahora son las 9:30 am que hora esta marcando mi reloj? ayuda :(
Answer:
El reloj está marcando:
las 4:00 horas
Step-by-step explanation:
El reloj avanzó a su mismo ritmo pero en sentido contrario a partir de las 6:45
si ahora son las 9:30 el reloj marca:
9:30 = 9horas 30minutos = 9h 30'
6:45 = 6horas 45minutos = 6h 45´
1 hora = 60'
9h 30' = 8h + 60' + 30' = 8h + 90' = 8h 90'
entonces:
8h 90'
- 6h 45'
= 2h 45
entonces el reloj está marcando 2h 45' menos que la hora en que se dañó.
por tanto:
6h 45'
- 2h 45'
= 4h 00'
El reloj ahora está marcando las
4 horas en punto.
no clue how to do this, someone pls help
Answer:
6π
Step-by-step explanation:
First we need to find the circumference of the circle. We know that the radius is 4 and the formula is πd or 2πr
Leaving it in terms of pi, the circumference is 8π
Now we need to find the length of the arc.
Since the missing part of the circle is labeled with a right angle, we know that it's exactly 1/4 of the whole circle. That means the arc we need to find is 3/4 of the circumference.
3/4 of 8π is 6π
An investment counselor calls with a hot stock tip. He believes that if the economy remain strong the investment rules will result In a profit of $30,000. If the economy grows at a moderate pace the investment will result in a profit of $10,000 however if the economy goes into recession the investment will result in a loss of $30,000. You contact and economics who believes there is a 20% probability the economy will remain strong a 70% probability the economy will grow at a moderate pace in a 10% probability the economy will slip into recession. What is the expected profit from this investment?
Answer: $10,000
Step-by-step explanation:
Given the following :
Profit if economy remains strong = $30,000
Profit if economy grows at moderate pace = $10, 000
Loss if economy goes into recession = $30,000
Probability that economy will remain strong = 20% = 0.2
probability the economy will grow at a moderate pace = 70% = 0.7
probability the economy will slip into recession = 10% = 0.1
Expected value = sum of (x * p(x))
Here expected value equals;
Strong economy profit = $30,000 * 0.2 = $6000
Moderate economy profit = $10,000 * 0.7 = $7000
Loss on Recession = $30,000 * 0.1 = $3000
Expected profit = $(6000 + 7000 - 3000)
Expected profit = $10,000
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), D(2, 7). What is the area of rectangle A, B, C, D? square units NEED ASAP 40 POINTS LIGIT
Answer:
[tex]\boxed{\sf \ \ 28 \ \ }[/tex]
Step-by-step explanation:
Hello,
Please find attached the graph
AB = 6-2 = 4
DA = 7-0 = 7
So the area of the rectangle is AB * DA = 4 * 7 = 28
Hope this helps
find the value of x and explain
Answer:
D
Step-by-step explanation:
The chord- chord angle 105° is half the sum of the arcs intercepted by the angle and its vertical angle, thus
[tex]\frac{1}{2}[/tex](120 + x) = 105 ( multiply both sides by 2 )
120 + x = 210 ( subtract 120 from both sides )
x = 90 → D
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Answer:
DE = 4.24
Step-by-step explanation:
The diagram is not shown; However, the question can still be solved without the diagram.
Having said that,.
Given that
DF = EF = 3
This implies that DE is the hypothenus and will be solved using Pythagoras theorem.
DE² = EF² + DF²
Substitute 3 for EF and DF
DE² = 3² + 3²
DE² = 9 + 9
DE² = 18
Take Square Root of both sides
DE = √18
DE = 4.242640687119285
DE = 4.24 (Approximated)
Find the value of x. Round the length to the nearest tenth.
Answer:
x=6 and x=5.1
Step-by-step explanation:
Answer this in two minutes
Answer:
900
Step-by-step explanation:
a heptagon has 7 sides, so we take the hexagon's sum of interior angles an and add 180 to it's getting us, 720 + 180 = 900 degrees
Ahmed earns $1.50 for every video game he sells. When he sells one carton of 30 video game, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?
Answer:
Step-by-step explanation:
1.50x + 10[x/30] >= 450
x >= 246.3
check:
1.50*246 + 10*8 = 449
$450
What the answer now fast correct
Answer:
12.6 units.
Step-by-step explanation:
According to cosine formula:
[tex]a^2=b^2+c^2-2bc\cos A[/tex]
Using cosine formula in triangle STU, we get
[tex](SU)^2=(ST)^2+(TU)^2-2(ST)(TU)\cos T[/tex]
[tex]t^2=(5)^2+(15)^2-2(5)(15)\cos (53^{\circ})[/tex]
[tex]t^2=25+225-150(0.60)[/tex]
[tex]t^2=160[/tex]
Taking square root on both sides.
[tex]t=\sqrt{160}[/tex]
[tex]t\approx 12.6[/tex]
Therefore, the value of t is 12.6 units.
In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
Answer: 16,384
Step-by-step explanation:
The seven marbles have different colours, so we can differentiate them.
Now, suppose that for each marble we have a selection, where the selection is in which jar we put it.
For the first marble, we have 4 options ( we have 4 jars)
For the second marble, we have 4 options.
Same for the third, for the fourth, etc.
Now, the total number of combinations is equal to the product of the number of options for each selection.
We have 7 selections and 4 options for each selection, then the total number of combinations is:
C = 4^7 = 16,384
Answer:
the answer is 16384
Step-by-step explanation:
have a nice day.
Select the sequences that are geometric.
18, 36, 54, 72, …
4.1, 8.2, 16.4, 32.8, …
–7, 14, –28, 56, …
980, 784, 627.2, 501.76, …
5, 2, –1, –4, …
Answer:
BCD
Step-by-step explanation:
Answer: B,C & D
Step-by-step explanation:
What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth. A circle is shown. 2 rays form an angle of 45 degrees. The length of the rays is 8 inches. Arc s contains the angle measuring 45 degrees.
The length of the arc s is 6.283 inches.
Length of an ArcThe length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]
where
θ is the angle, which arc creates at the center of the circle in degrees.
Given to us,Radius, r = 8 in.
Angle, θ = 45°,
Length of the Arc[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]
[tex]\rm{ Length\ of\ the\ Arc\ s = 2\times \pi \times(8)\times\dfrac{45}{360}[/tex]
[tex]\rm{ Length\ of\ the\ Arc\ s =6.283\ inches.[/tex]
Hence, the length of the arc s is 6.283 inches.
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The approximate length of arc s on the given circle is; 6.28inches
Length of an arc.The length of an arc is given by the formula;
L = (a/360) ×2πr.where, a = angle subtended by the arcr = radius of the circle.Therefore,
Length, L = (45/360) × 2 × 3.14 × 8
L = 50.24/8L = 6.28 inchesRead more on length of an arc;
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74 divided by 3 times 7 equals what?
Answer:
518 / 3.
Step-by-step explanation:
(74 / 3) * 7 = (74 * 7) / 3 = 518 / 3 = 172 and 2/3 = 172.6666666667.
Hope this helps!
..................................
Answer:
A
Step-by-step explanation:
Type in the equation of the graphing calculator and press graph
Examine the system of equations. –2x + 3y = 6 –4x + 6y = 12 Answer the questions to determine the number of solutions to the system of equations. What is the slope of the first line? What is the slope of the second line? What is the y-intercept of the first line? What is the y-intercept of the second line? How many solutions does the system have?
Answer:
Examine the system of equations.
–2x + 3y = 6
–4x + 6y = 12
Answer the questions to determine the number of solutions to the system of equations.
What is the slope of the first line?
✔ 2/3
What is the slope of the second line?
✔ 2/3
What is the y-intercept of the first line?
✔ 2
What is the y-intercept of the second line?
✔ 2
How many solutions does the system have?
✔ infinitely many
The equations are a multiple of the other, therefore, by the multiplicative
property of equality, the equations are equivalent.
Response:
The slope and y-intercept of the first equation are [tex]\underline{\dfrac{2}{3} \ and \ 2}[/tex] respectivelyThe slope and y-intercept of the second equation are [tex]\underline{\dfrac{2}{3} \, and \, 2}[/tex]The system of equations have infinitely many solutions.Methods used to obtain the above response.The given system of equations are;
-2·x + 3·y = 6
-4·x + 6·y = 12
Required:
The slope of the first line.
Solution:
The slope of the first line is given by the coefficient of x when the equation is expressed in the form; y = m·x + c.
Therefore, from -2·x + 3·y = 6, we have;
3·y = 2·x + 6
[tex]y = \dfrac{2}{3} \cdot x + \dfrac{6}{3} = \dfrac{2}{3} \cdot x + 2[/tex]
[tex]y =\dfrac{2}{3} \cdot x + 2[/tex]
[tex]\underline{The \ slope \ of \ the \ first \ equation \ is \ \dfrac{2}{3}}[/tex]
Required:
The slope of the second line;
Solution:
The equation of the second line, -4·x + 6·y = 12, can be expressed in the form;
[tex]y =\dfrac{4}{6} \cdot x + \dfrac{12}{6} = \dfrac{2}{3} \cdot x + 2[/tex]
[tex]y = \mathbf{\dfrac{2}{3} \cdot x + 2}[/tex]
[tex]\underline{The \ slope \ of \ the \ second \ equation \ is \ therefore \ \dfrac{2}{3}}[/tex]
The y-intercept of the first line = 2The y-intercept of the second line = 2Given that the equation have the same slope and the same y-intercept, the equations are equations of the same line, therefore;
The equations have an infinite number of solutionsLearn more about the solutions of a system of equations here:
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The measure of one base angle is an isosceles triangle is 20 degree. the measure of the largest angle in the triangle is
Answer:
140°
Step-by-step explanation:
Every triangles angles when combined equals 180°
In an isosceles triangle there are 2 acute angles and one obtuse angles.
It was given that the base angle/acute angle is 20°
This brings us to our equation. 20° + 20° + x = 180°
20 + 20 = 40
40 + x = 180
Now we solve algebraically:
180-40= 140
Therefore the answer is x = 140°
I hope this helps!
PLEASE HELP! Thank you!!!
14. 2057 Q.No. 1(a) Sum to infinity:
1 + 3x + 5x2 + 7x3 +... (-1<x<1).
The sum appears to be
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n[/tex]
I'll assume you want to find out what function this sum converges to.
Let
[tex]f(x)=\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]
with -1 < x < 1. Differentiating gives
[tex]f'(x)=\dfrac1{(1-x)^2}=\displaystyle\sum_{n=0}^\infty nx^{n-1}=\sum_{n=1}^\infty nx^{n-1}=\sum_{n=0}^\infty(n+1)x^n[/tex]
So we have
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=f'(x)+xf'(x)[/tex]
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=\frac{1+x}{(1-x)^2}[/tex]
The researcher is interested to know if policy A (new) is more effective than policy B (old). Frame the hypothesis and describe what each error would represent in terms of reality and conclusion.
Answer:
Null hypothesis: Policy B remains more effective than policy A.
Alternate hypothesis: Policy A is more effective than policy B.
Step-by-step explanation:
Remember, a hypothesis is a usually tentative (temporary until tested) assumption about two variables– independent and the dependent variable.
We have two types of hypothesis errors:
1. A type I error occurs when the null hypothesis (H0) is wrongly rejected.
That is, rejecting the assumption that policy B remains more effective than policy A when it is actually true.
2. A type II error occurs when the null hypothesis H0, is not rejected when it is actually false. That is, accepting the assumption that policy B remains more effective than policy A when it is actually false.
Please answer this fast in two minutes now
Answer:
18.3Step-by-step explanation:
from cosines theorem:
t² = 11² + 14² - 2•11•14•cos87°
t² = 121 + 196 + 308•0.05236
t² = 333.12688
t = √333.12688
t = 18.2517... ≈ 18.3
help me!!!! solve 4t+6=24
Answer:
We move all terms to the left:
4t+6-(-24)=0
We add all the numbers together, and all the variables
4t+30=0
We move all terms containing t to the left, all other terms to the right
4t=-30
t=-30/4
t=4.5
Brainiest?
Answer:
[tex]\boxed{t=\frac{9}{2} }[/tex]
Step-by-step explanation:
[tex]4t+6=24[/tex]
Subtract 6 on both sides.
[tex]4t+6-6=24-6[/tex]
[tex]4t=18[/tex]
Divide 4 on both sides.
[tex]\displaystyle \frac{4t}{4} =\frac{18}{4}[/tex]
[tex]\displaystyle t=\frac{9}{2}[/tex]
What is the value of y? Answer asap
Answer:
y=3
Step-by-step explanation:
10=2y+4
10-4=2y
6=2y
3=y
ANSWER QUICKLY plzzzzzz
Answer:
$95.42 more
Step-by-step explanation:
To find out how much money was made with Investment A after 2 years:
First, we are told that 160 dollars is saved per month for 2 years. There are 24 months in 2 years, so we have to multiply $160 by 24 months.
160 *24=$3840 after 2 years.
Next, we learn thar 2.5% interest rate is added to the total amount saved in those two years. So, we must turn 2.5% in to a decimal, which is 0.025.
Now, multiply 3840*0.025 to get $96.
We have to add that on the the amount saved, so 3840+96=$3936.
Investment A made $3936 after 2 years.
To find out how much money was made with Investment B.
So, we have to find compound interest. The formula for compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
In this problem: P=3800, r=3% or 0.03, n=1, and t=2.
So, lets write it out: [tex]A=3800(1+\frac{0.03}{1} )^{2*1}[/tex]
That becomes: [tex]A=3800(1.03)^{2}[/tex]
Simplify it even further: [tex]A=3800(1.0609)[/tex]
Multiply the last two numbers to get: [tex]A=4031.42[/tex]
Investment B made $4031.42 after 2 years.
The question asks us to find out how much more money Investment B made than Investment A after 2 years. It's simple. Just subtract Investment A's amount from Investment B's amount.
4031.42-3936=95.42
Investment B made $95.42 more than Investment A after 2 years.
3) In a paddling pool there are 30 floating ducks. Each duck is marked with a number on the underside. 15 are marked with the number 1, 9 are marked with the number 2 and 6 are marked with number 3. There are prizes for those who pick a duck with the number 3 on it. What is the probability of Molly picking a duck with the number 3 on it? Give your answer as a fraction in its lowest terms.
Answer: 1/5
Step-by-step explanation:
Given the following :
Total number of ducks in pool = 30
Mark 1 = 15 ducks
Mark 2 = 9 ducks
Mark 3 = 6 ducks
Probability of picking a duck with Mark 3:
Probability = (number of required outcomes / total possible outcomes)
Number of required outcomes = number of ducks with mark 3 = 6 ducks
P(picking a duck with Mark 3) = 6/30
6/30 = 1/5
= 1/5
PLSSSS HELP The area of a cylinder varies jointly with the radius and the height. When the radius is 3 and the height is 6 the area is 36π. Find the are when the radius is 4 and the height is 5
Answer:
167.55
Step-by-step explanation:
so it varies jointly so
A-area if cylinder
so
[tex]a \: \alpha \: \pi \: r \: ^{2} h[/tex]
so
[tex]a = k\pi \: r^{2}h[/tex]
where k is the constant
so apply the first set of values to get k=2/3
then substitute the k with the second set of values