Answer:
57
Step-by-step explanation:
2 Select the correct answer. Which expression has a value closest to 1? (Use 3.14 as the value of 1.) OA 7 V10 B. V75-174 Oc. V37-26 3/5 - 20 V2 D.
Answer:
It should be option c, [tex]\sqrt 37 - \sqrt26\\\\[/tex]
Step-by-step explanation: i hope this helps
Find x
Help me please
Answer:
x=31.2
Step-by-step explanation:
Since angle C is 4x-10 and angle A is 2x+3
then the two angles combined should equal 180 (based off of the inscribed quadrilateral theorem)
4x-10+2x+3=180
6x-7=180
6x=187
x=31.166...
if you round it to the nearest tenth it would be 31.2
WILL MARK BRAINLIEST!!
I. Write 2-7i in polar coordinates on the complex plane.
II. Find (1+i)^8 using DeMoivre's theorem.
(r,θ) = (7.28,254.05°) are 2-7i in polar coordinates on the complex plane.
What are polar coordinates?The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.
I. Polar form = (r,θ) = (7.28,254.05°)
z = 2 - i7
r= [tex]\sqrt{ 2^2+-7^2}[/tex]
= √53
= 7.28
θ = tan^-1 (-7/-2)
=3.5
= 74.05
Point lies in the third quadrant
Hence θ = 180+74.05
= 254.05°
Polar form = (r,θ) = (7.28,254.05°)
II. Z=16
De Moivre's theorem states if
z= r(cos(θ) + i sin (θ)) , then
[tex]z^2=r^2(cos(n\theta)+ i sin (n\theta))[/tex]
[tex]r= \sqrt{1^2+1^2}[/tex]
= √2
θ= arc tan (1/1)
= π / 4
z= √2 (cos (π / 4)+i sin (π / 4))
z^8 = (√2 (cos (π / 4)+i sin (π / 4)))^8
= (√2 (cos (8π / 4)+i sin (8π / 4)))^8
=16 (cos(2π) + i sin (2π)
=16
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Given the roll of paper towels below how much plastic would be needed to cover the role so it can be sold given the diameter of the role is 10 inches and the height is 13 inches
Answer:
Amount of plastic need to cover paper role = 565.2 inches
Step-by-step explanation:
Given:
Diameter of paper role = 10 inch
Height of paper role = 13 inch
Find:
Amount of plastic need to cover paper role
Computation:
Radius of paper role = Diameter of paper role / 2
Radius of paper role = 10 / 2
Radius of paper role = 5 inch
Amount of plastic need to cover paper role = Total surface area of cylinder
Amount of plastic need to cover paper role = 2πr(h+r)
Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)
Amount of plastic need to cover paper role = (3.14)(10)(18)
Amount of plastic need to cover paper role = 565.2 inches
write
25 x 10^6
in standard form
Answer:
2.5 * 10⁷
Step-by-step explanation:
25 * 10⁶ 2.5 * 10 * 10⁶2.5 * 10⁷Answer:
25,000,000
Step-by-step explanation:
Find the x and y intercept for the equation:
5 + 4 = 20 (show your work pls) serious answers only
Answer:
x = (4,0)
y = (0,5)
Step-by-step explanation:
5x + 4y = 20
5(0) + 4y = 20
(4y ÷ 4) = (20 ÷ 4)
y = 5
5x + 4(0) = 20
(5x ÷ 5) = (20 ÷ 5)
x = 4
x = (4,0)
y = (0,5)
A skydiver jumps from an airplane and accelerates toward the ground. His velocity can be modeled by the function
v(t) = 1000t/5t+8, where v (t) is the velocity in feet per second, and t represents time in seconds. Due to air resistance, there is
a limiting velocity the skydiver will not exceed, called the "terminal velocity". At terminal velocity, the velocity does not
continue to increase. What is the terminal velocity? Justify your answer.
Answer:
The terminal velocity is 8.00ft/s
Step-by-step explanation:
Given
[tex]v(t) = 1000t^2 - 5t + 8[/tex]
Required
The terminal velocity
This implies that we calculate the maximum velocity.
First, we calculate the maximum value of t using:
[tex]t_{max} = -\frac{b}{2a}[/tex]
Where:
[tex]v(t) = at^2 + bt + c[/tex]
So, we have:
[tex]t_{max} = -\frac{-5}{2*1000}[/tex]
[tex]t_{max} = \frac{5}{2000}[/tex]
[tex]t_{max} = 0.0025[/tex]
Substitute this value of t in [tex]v(t) = 1000t^2 - 5t + 8[/tex] to get the maximum velocity
[tex]v(t) = 1000t^2 - 5t + 8[/tex]
[tex]v(t) = 1000 * 0.0025^2 - 5 * 0.0025 + 8[/tex]
Using a calculator, we have:
[tex]v(t) = 7.99375[/tex]
Approximate
[tex]v_{max} = 8.00ft/s[/tex]
Velocity is the rate of change of its position with respect to time. The terminal velocity of the skydiver is 200 ft/sec.
What is velocity?Velocity is the rate of change of its position with respect to time.
[tex]V = \dfrac{dy}{dt}[/tex]
Given the velocity of the skydiver by the function v(t)=1000t/(5t+8), after some time, the velocity will become terminal velocity and then it can not be increased further, therefore, the terminal velocity can be written as,
[tex]\lim_{t \to \infty} V(t) = \lim_{t \to \infty} \dfrac{1000t}{5t+8}\\\\[/tex]
[tex]= \lim_{t \to \infty} \dfrac{\frac{1000t}{t}}{\frac{5t}{t}+\frac{8}{t}}\\\\[/tex]
[tex]= \dfrac{1000}{5+\frac{8}{t}}\\\\= \dfrac{1000}{5}\\\\=200[/tex]
Hence, the terminal velocity of the skydiver is 200 ft/sec. It can be confirmed by plotting the function on the graph.
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Determine the solution on the following equation
Answer:
x = 3
Step-by-step explanation:
Step-by-step explanation:
3(8x-8)/2=64
3(8x-8)=64×2
24x-24=128
24x=128+24
24x=152
24x/24=152/24
x=6.3
Factor 12y^2 + 5y -2 completely
Answer: (4x-1)(3x+2)
Step-by-step explanation:
do u know how to factor?
Answer: (4y - 1)(3y + 2)
Step-by-step explanation:
[tex]12y^{2} +5y-2\\=(4y - 1)(3y + 2)[/tex]
You can also do it the long way using the quadratic formula:[tex]\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex], where a = 12, b = 5, and c = -2.
find the value of the given equation (-155)+(-20) + (-14) + (-133) + (190) + (170) +(-73)
Answer:
-37
Step-by-step explanation:
-155-20-14-133-73=-395
190+170=360
-395+360=-37
7. The revenue for the school play is given by: R= -50t^2 + 300t , where “t” is the ticket price in dollars. The cost to produce the play is given by: C = 600-50t. Determine the ticket price that will allow the school play to break even. (Note: breaking even means that revenue = cost.) Sketch the graphs of both equations as seen on your calculator (indicate the window you used
in the space provided).
Answer:
R= -50t^2 + 300t
-50tt(t-6)
-50(t-12)
so lets say that they sold 10 dollar tickets
-5000(4)
so they would lose -20000 dollars
-50(-2)
and the play would cost 100 dollars
Hope This Helps!!!
Five students and two teachers pose for a picture.in how many ways can they line up side by side for a picture. 2. In how many ways can they line up if they must have the teachers on both sides of the picture? 3.what is the probability that the two teachers occupy two of the three middle slots?
Square ABCD has vertices at A(−1,3), B(0,7), C(4,6), and D(3,2).
What is the area of the square when rounded to the nearest whole number?
Answer:
16
Step-by-step explanation:
Its a square, so AB=CD, AC=BD and
Write an equation that represents the line.
Answer:
y = 7/5x + 7
Step-by-step explanation:
How do you upload more than one photo to a question? Also I need help with this problem...
Answer:
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Step-by-step explanation:
awpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawop
What is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
[tex]slope = \frac{ - 1 - 4}{0 - 2} \\ = \frac{ - 5}{ - 2} \\ = { \tt{ \frac{5}{2} }}[/tex]
a bag contains 3 white balls and 4 red balls. A.second bag contains 4 white balls and 3 red balls. If a bag is picked at random from each bag. Find the probability that both are white
Answer:
12/49 chance that they are both white
Step-by-step explanation:
We have 2 events going on:
The first bag that contains: 3 white, 4 red
The second bag that contains: 4 white, 3 red
First let's find the probability of picking a white ball from each individual bag (not combing the chances yet):
For the 1st bag, there are 3 white balls out of 7 balls (add 3 and 4).
That means there's a 3/7 chance you'll get a white ball from the 1st bag.
For the 2nd bag, there are 4 white balls out of 7 balls (add 4 and 3).
That means there's a 4/7 chance you'll get a white ball from the 2nd bag.
To find the probability of getting both white from both of the bags, multiply 3/7 & 4/7:
3/7 * 4/7 = 12/49
You can't simplify 12/49 further, so that's your answer!
Hope it helps (●'◡'●)
Answer:
2/6Step-by-step explanation:
_______________________________hope it helps________the answer is... 2/6
The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2000 there were about
1,150 fish. Write an exponential decay function to model this situation. Then find the population in
2006.
Answer:
Number of fish in 2006 = 845 fishes (Approx.)
Step-by-step explanation:
Given;
Number of fish in 2000 = 1,150 fishes
Decreasing rate = 5% per year
Find:
Number of fish in 2006
Computation:
Exponential decay function:
F = P[1-r]ⁿ
Number of year = 2006 - 2000
Number of year = 6 year
Number of fish in 2006 = 1,150[1-5%]⁶
Number of fish in 2006 = 1,150[1-0.05]⁶
Number of fish in 2006 = 1,150[0.95]⁶
Number of fish in 2006 = 1,150[0.735]
Number of fish in 2006 = 845.25
Number of fish in 2006 = 845 fishes (Approx.)
Please help me with this one
Answer:
240
Step-by-step explanation:
well do *
so 8x6x5 = 240 there's your answer
Answer:
[tex]S.A=1/2(8+8)(9^{2})+8\times 6+8\times 5[/tex]
[tex]=26\times2+48+40[/tex]
[tex]=140 ~cm^{2}[/tex]
-------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
Can someone help with questions 5 -9
Answer:
THE ANSWER IS UNLIMITED
Step-by-step explanation:
THE REASON IT'S UNLIMITED IS BECAUSE YOU CAN HAVE ALL TYPES OF SHIRTS, FROM JERSEYS TO DRESS SHIRTS, TO T-SHIRTS.
Which of the following is a radical equation?
Answer:
[tex]\sqrt{x} +3 =13[/tex]
Step-by-step explanation:
A radical equation is any equation in which a variable is under a root. This is the only equation in which x is under the square root, so this is the radical equation.
Pls help ASAP
Compare and contrast how to graph: x=2 and y= -4
Answer:
plotting x = 2
see the x- axis look for the point x = 2(on right side of the origin ). Mark that point and draw a straight line parallel to the y- axis.
This is the graph of x = 2
plotting y = -4
see the y- axis and then look for the point y= -4 (that must be 4 units below the origin). Mark that point and draw a straight line parallel to the x- axis.
This is the graph of y = -4
we see that, the graph x = 2 is parallel to the y-axis whereas the graph y = -4 is parallel to the x- axis.
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of $221 per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company $4900. Suppose for each ToughPix1 there is a 3% chance that it will need to be replaced exactly once, a 2% chance that it will need to be replaced exactly twice, and a 95% chance that it will not need to be replaced.
Answer:
Brad & Matthew can expect to lose money from selling these cameras of -$122
Step-by-step explanation:
Calculation to determine if it should expect to make or lose money from selling them and How much?
First step is to calculate the expected costs
Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)
Expected costs=$147+$196
Expected costs=$343
Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold
Expected Profit or loss =($221-$343)
Expected Profit or loss =-$122
Therefore it Should expect to LOSE money from selling them of the amount of -$122
please help guys !!!
Answer:
[tex] \frac{1}{4} \: \: \: \frac{1}{3} \: \: \: \frac{1}{2} \: \: \: \frac{7}{12} \: \: \: \frac{3}{4} [/tex]
Step-by-step explanation:
To arrange in ascending order, first make the denominators of all the fractions the same.
LCM of 2, 3, 4 and 12 is 12.
Now,
[tex] \frac{1}{3} = \frac{4}{12} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{4} = \frac{3}{12} [/tex]
[tex] \frac{7}{12} \: \: will \: be \: \: \frac{7}{12} [/tex]
[tex] \frac{1}{2} = \frac{6}{12} [/tex]
Arranging these in ascending order:
[tex] \frac{3}{12} \: \: \: \frac{4}{12} \: \: \: \frac{6}{12} \: \: \: \frac{7}{12} \: \: \: \frac{9}{12} [/tex]
Georgia bought a pair of flip-flops that cost $3.46 and a pair of slip-on shoes that cost $9.87.
She paid a total of $ for the two pairs of shoes.
Answer: The cost for the two pairs of shoes is $13.33
Step-by-step explanation:
Since we have given that
Cost of pair of flip flops = $3.46
Cost of pair of slip on shoes = $9.87
We need to find the cost of two pairs of shoes.
Cost of two pairs of shoes = Cost of pair of flip flops + Cost of pair of slip on shoes
[tex]cost=3.46+9.87=13.33[/tex]
the cost for the two pairs of shoes is $13.33.
Is (2, 2) a solution of y <_ 4x – 6?
Choose 1 answer:
Yes or No
Answer:
Yes
Step-by-step explanation:
1. Looking at the questionThe question states that...
[tex]x=2\\y=2[/tex]
2. Plugging it in[tex]2\leq 4(2)-6\\2\leq 8-6\\2\leq 2[/tex]
Yes
Hope this helped! Please mark brianliest :)
Answer:yes
Step-by-step explanation:
Y<_4x-6
2<_4(2)-6
2<_8-6
2<_2
Cindy is hosting a potluck dinner for her book club. The more book club members who attend, the more chairs she will need. m = the number of members who attend the potluck c = the number of chairs Cindy will need Which of the variables is independent and which is dependent? A. c is the independent variable and m is the dependent variable B. m is the independent variable and c is the dependent variable
Answer:
B.
Step-by-step explanation:
m is the driving number in this system of numbers. whatever its value, all the others need to adjust to it.
c depends fully on m. if and when m increases, then also c has to increase.
prime numbers that can be expressed as a sum and difference of 2 prime numbers
ASAP
Given:
Prime numbers can be expressed as a sum and difference of 2 prime numbers.
To find:
The prime numbers that can be expressed as a sum and difference of 2 prime numbers.
Solution:
Prime numbers are the positive integers which are greater than 1, divisible by only 1 and itself.
Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19,... .
Only 2 is the even prime number.
The sum and difference of two odd integers is always an even number. So, we need to take one even prime number and one odd prime number to add and subtract the numbers to get a prime number.
[tex]2+3=5[/tex]
[tex]7-2=5[/tex]
Therefore, 5 is the only prime number that can be expressed as a sum and difference of 2 prime numbers.
Prove that the expression A + B - C is equivalent to the expression C - B - A if A = 2x - 1, B = 3x + 1 and C = 5x.
Answer:
both are equal is 0
Step-by-step explanation:
After substituting, the answer is 0 to both
Conditional Statement: if p then q The converse form of a conditional statement is when: O p and q are switched, and both negated. p and the q are switched. Neither p or q is negated. O p and q are both negated. Neither p or q are swithced.
B) p and the q are switched
C) Neither p or q is negated
========================================================
Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
Original = If P, then QConverse = If Q, then PInverse = If not P, then not QContrapositive = If not Q, then not PSide notes:
The original and contrapositive are equivalent in truth value.The converse and inverse are equivalent in truth value.