Answer: 24 days
Step-by-step explanation:
Sandy plays tennis once every 6 six days while Jim plays tennis once every 8 eight days.
To get the number of days they will play on the same day again, we find the lowest common multiple for the numbers.
The lowest common multiple is the smallest positive integer which is evenly divisible by both 6 and 8.
6 = 6, 12, 24, 30
8 = 8, 16, 24, 32
The lowest common multiple is 24.
In 24 days, they will play on the same day again
PLEASE HELPPPP
Find the surface area of the trapezoidal prism. *
To calculate the surface area of a trapezoidal prism, find the area of each of the five faces (two trapezoids and three rectangles) and sum them up.
Explanation:To find the surface area of a trapezoidal prism, we have to calculate the area of each face and then sum them up. There are two trapezoidal faces and three rectangular faces in a trapezoidal prism.
For the trapezoidal face, the formula to calculate the area is 0.5*(a+b)*h where 'a' and 'b' are the lengths of the parallel bases and 'h' is the height of the trapezoid. For the rectangular faces, the area is simply length times width.
After finding these, add them all up. This sum gives us the total surface area of the trapezoidal prism.
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how many times greater is 3 x 10^8 than 6 x 10^5
To find how many times greater 3 x [tex]10^8[/tex] is than 6 x [tex]10^5[/tex], divide 3 x [tex]10^8[/tex] by 6 x [tex]10^5[/tex], resulting in 500. Thus, 3 x [tex]10^8[/tex] is 500 times greater than 6 x [tex]10^5[/tex]
The question asks how many times greater is 3 x [tex]10^8[/tex] than 6 x [tex]10^5[/tex]. To compare the two values, we divide the larger number by the smaller number:
( 3 x [tex]10^8[/tex] ) / (6 x [tex]10^5[/tex]) = (3/6) x ([tex]10^8/10^5[/tex]) = 0.5 x [tex]10^3[/tex]
Since [tex]10^3[/tex] is equal to 1000, multiplying 0.5 x 1000 gives 500. Therefore, 3 x [tex]10^8[/tex] is 500 times greater than 6 x [tex]10^5[/tex].
Fine the measure of y.
A.93
B.100
C.103
D.110
Answer:
The answer is C. 103
Step-by-step explanation:
180 - 110 = 70
So, the measurement of angle z is 70.
Since parallelograms have a sum of 360°, then...
360 - (100 + 87 + 70)
360 - 257
103
I went shopping for a pencil case with the entire script of shrek with an onion zipper, which costed 2.50$ each pencil case. I had 100 bucks (yeeah boii) How many of these beautiful cases can I buy?
Answer:
40 pencil cases
Step-by-step explanation:
To find out how many $2.50 pencil cases you can buy with $100, you need to divide. Dividing the amount of money you have by the cost of the item will get you the amount of items you can buy. 100 divided by 2.50 is 40. So, you can get 40 cases.
Z1=3cispi and z2=5cis(pi/2)
If z1*z2=a+bi, then a=, b=
Answer:
a = 0 and b = -15Step-by-step explanation:
Given two complex number Z1=3cispi and z2=5cis(pi/2)
In polar form;
z1 = [tex]3(cos[/tex][tex]\pi+isin\pi)[/tex]
z1 = 3(-1+i0)
z1 = -3+0i
Z2 = [tex]5(cos\frac{\pi}{2} +isin\frac{\pi}{2} )[/tex]
Z2 = 5(0+i)
Z2 = 0+5i
Z1*Z2 = (-3+0i)(0+5i)
Z1*Z2 = 0 - 15i +0i + 0i²
Z1*Z2 = 0-15i
comparing 0-15i with a + bi;
a = 0 and b = -15
Answer:
A = 0, B = -15
Step-by-step explanation:
Given two complex number Z1=3cispi and z2=5cis(pi/2)
In polar form;
z1 =
z1 = 3(-1+i0)
z1 = -3+0i
Z2 =
Z2 = 5(0+i)
Z2 = 0+5i
Z1*Z2 = (-3+0i)(0+5i)
Z1*Z2 = 0 - 15i +0i + 0i²
Z1*Z2 = 0-15i
comparing 0-15i with a + bi;
a = 0 and b = -15
Read this quote carefully, and think about its main message. What is Lincoln expressing in this quote? Both sides were willing to destroy the nation by letting the war begin. The North started the war to stop slavery, and the South fought to keep slavery. The South would destroy the nation, but the North had to fight for the nation to survive. Both parties [disapproved of] war, but one of them would make war rather than let the nation survive, and the other would accept war rather than let it perish, and the war came. –Abraham Lincoln, Second Inaugural Address, March 4, 1865
Answer:The South would destroy the nation, but the North had to fight for the nation to survive.
Answer:
The answer is The south would destroy the nation so the north had to fight for the nation survival
Step-by-step explanation:
HEY YOU HELP ME PLZ!!!
Answer:
104 liters
Step-by-step explanation:
you just round up
NEED HELP ASAP
What is the determinant of
A.–24
B.–3
C.3
D.45
Answer:
The answer is -3
Just solved it
Answer:
its c.3
Step-by-step explanation:
1.
x² + 8x + 15
(x + )
(x + )
Answer:
(x+5) (x+3)
Step-by-step explanation:
x² + 8x + 15
What two numbers multiply to 15 and add to 8
5*3 = 15
5+3 =8
(x+5) (x+3)
What is the measure of angle 1
Angle 2 = 92° (They are corresponding angles)
Angle 1 + angle 2 = 180° (they are a linear pair)
Angle 1 = 180° - 92°
= 88°
2 circles with an area of 9 pi inches squared. The area of one base of the cylinder is 6 pi inches, and the height of the cylinder is 10 inches.
The net of a cylinder is shown. The area of one base of the cylinder is 9Pi in.2. The circumference of a base is 6Pi in., and the height of the cylinder is 10 in. Which expression can you use to find the lateral area plus two bases of the cylinder?
A)6Pi + 9Pi(10) in.2
B)9Pi + 6Pi(10) in.2
C)6Pi + 6Pi + 9Pi(10) in.2
D)9Pi + 9Pi + 6Pi(10) in.2
Answer:
the answer is d
Step-by-step explanation:
bc i took the question and it said it was d
Answer:
D is your answer
Step-by-step explanation:
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
Answer:
h = 9 units of length
Step-by-step explanation:
Volume of a circular right cone is:
V(c) = (1/3)*Area of the circular base * h
Where h is the height of the cone, then
V(c) = (1/3) * π * r² * h
And we have that V(c) = 108*π
Then:
108 * π = (1/3) * π * r² * h (1)
We know diameter of the circular base is 12 units, according to that
r = d/2 ⇒ r = 12/2 r = 6 units
Then:
108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]
When simplifying we have to take into account that in order to keep last equation h needs to have units of length
Therefore:
108 = (1/3) * 36 * h
h = ( 108* 3 )/ 36
h = 9 units of length
The age of the Hawaiian islands gets older as you move from east to west. If the half-life of K-40 is 1.3 billion years, approximate the age of Maui if a sample rock on the island has 99.96% of its parent K-40 remaining.
Answer:
[tex]t \approx 750550.12\,yr[/tex]
Step-by-step explanation:
The time constant of the isotope is:
[tex]\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}[/tex]
[tex]\tau \approx 1.876 \times 10^{9}\,yr[/tex]
The decay of the isotope is described by the following model:
[tex]\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }[/tex]
Now, the time is cleared in the equation:
[tex]t = -\tau \cdot \ln \frac{m}{m_{o}}[/tex]
[tex]t = - (1.876\times 10^{9}\,yr)\cdot \ln 0.9996[/tex]
[tex]t \approx 750550.12\,yr[/tex]
The rock from Maui with 99.96% of its parent K-40 remaining is significantly younger than 1.3 billion years, the half-life of K-40. The precise age calculation would yield a time much less than the half-life, indicating the rock's relative youth.
Explanation:The age of a rock that has 99.96% of its parent K-40 remaining can be calculated using the half-life of K-40, which is 1.3 billion years. Since such a small percentage (0.04%) of K-40 has decayed to form Ar-40, the rock sample from Maui is very young relative to the half-life of K-40. We can estimate the age of the rock by using the concept of half-lives in radioactive decay.
The formula for radioactive decay is: N(t) = N0 (1/2)^(t/T), where N(t) is the amount of the parent isotope remaining, N0 is the initial amount of the parent isotope, t is the time that has elapsed, and T is the half-life of the isotope.
In the case of Maui's rock, with N(t)/N0 being approximately 0.9996 (or 99.96/100), we can set up the equation as follows: 0.9996 = (1/2)^(t/1.3 billion years). Solving for t gives an age that is much less than 1.3 billion years, indicating that the rock is relatively young and has experienced only a fraction of a half-life period.
However, because the amount of decay is so small, it would fall within the uncertainties of practical measurement and thus would only give us an approximation that the age of the rock is significantly less than one half-life, or markedly younger than 1.3 billion years.
There were 5 pizzas at the pizza party for two families. •Cynthia's family ate 1⅜ pizzas •Janet's family ate 1 2/6 pizzas What is the closest estimate of how much pizza was left? A.) 7 pizzas B.) 2 pizzas C.) 3 pizzas D.) 4 pizzas
Answer:
B
Step-by-step explanation:
1 3/8 + 1 2/6 is equal to 2 17/24ths round up and you get 3 pizzas. 5- 3 is 2.
What is x? Help please
Answer:
I think it's 100°
Step-by-step explanation:
Here is the equation of a circle in standard form.
(x − 4)2 + (y + 8)2 = 64
What are the coordinates of the center of the circle?
A. (8, -4)
B. (4 , -8)
C. (-8, 4)
Answer:
B. (4, -8)
Step-by-step explanation:
Answer:
(4,-8)
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
Given:
(x - 4)² + (y + 8)² = 64
-h = -4
h = 4
-k = +8
k = -8
(h,k) = (4,-8)
Juan mowed 8 lawns in 16 hours. what was his rate of mowing in hours per lawn? simplest form
Answer:
2 hours each lawn
Step-by-step explanation:
simply divide 16 by 8 and that will give you 2 meaning 2 hours each 1 lawn
Which solution to the equation StartFraction 3 Over 2 g + 8 EndFraction = StartFraction g + 2 Over g squared minus 16 EndFraction is extraneous?
The solution of the given equation will be 16.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
[tex]\rm \dfrac{3}{2g + 8} = \dfrac{g + 2}{g^2 - 16}[/tex]
Then the equation can be written as
[tex]\rm \dfrac{3}{2(g + 4)} = \dfrac{g + 2}{g^2 - 4^}\\\\\rm \dfrac{3}{2(g+4)} = \dfrac{g + 2}{(g+4)(g-4)}\\\\[/tex]
On further solving, we have
3/2 = (g + 2) / (g – 4)
3g – 12 = 2g + 4
g = 16
More about the solution of the equation link is given below.
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Answer:
A. g = -4
Step-by-step explanation:
correct on egg
The data plots represent the hours students study each week in two different classrooms. The mean number of hours a student in Mr. Hart’s class studies is hours. The mean number of hours a student in Ms. Perry’s class studies is hours. A typical student in Mr. Hart’s class studies a typical student in Ms. Perry’s class.
Answer:
Sorry, If this late but here's the answer. The data plots represent the hours students study each week in two different classrooms. The mean number of hours a student in Mr. Hart’s class studies is 4.6 hours. The mean number of hours a student in Ms. Perry’s class studies is 2.8 hours. A typical student in Mr. Hart’s class studies More than a typical student in Ms. Perry’s class. Good Luck!
[tex]_{Itsbrazts}[/tex]
Here's the photo...
Answer:
The mean number of hours a student in Mr. Hart’s class studies is 4.6 hours.
The mean number of hours a student in Ms. Perry’s class studies is 2.8 hours.
A typical student in Mr. Hart’s class studies more than a typical student in Ms. Perry’s class.
Step-by-step explanation:
Hope this helps you! 'v'
which equation can be used to find 42*51
Answer:
(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2
Step-by-step explanation:
I did some research and used a calculator.
Plz click the Thanks button!
<Jayla>
Answer:
multiplication
Step-by-step explanation:
The * sign is multiplication. When you have no multiplication sign on your keyboard, you use *. Hope this helps! If you are still confused please comment.
Find the quotient.
23 : 52
Answer:
8/25
Step-by-step explanation:
mutiply the number of how many times the exponet says
Answer: 8/25 (Option A)
I just did the assignment.
the angle of depression from an airplane at an altitude of 8000 feet to the airport is 7 degrees. Find the direct distance from the airplane to the airport and find the horizontal distance between the airplane and the airport.
Answer:
direct distance = 65,644.07 feet
horizontal distance = 65,154.77 feet
Step-by-step explanation:
The angle of depression is the angle that the airplane does with the horizontal plane.
So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.
In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:
tangent(7) = 8000 / hd
hd = 8000 / tangent(7) = 65,154.77 feet
In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:
sine(7) = 8000 / d
d = 8000 / sine(7) = 65,644.07 feet
Which polynomials are in standard form?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
t^4-1t
4
−1t, start superscript, 4, end superscript, minus, 1
(Choice B)
B
-2t^2+3t+4−2t
2
+3t+4minus, 2, t, squared, plus, 3, t, plus, 4
(Choice C)
C
4t-74t−74, t, minus, 7
(Choice D)
D
None of the above
Answer:
[tex]A) t^4-1\\B)-2t^2+3t+4\\C)4t-7[/tex]
Step-by-step explanation:
When a polynomial is in standard form, it means that the terms are ordered from highest exponent to lowest exponent.
In the given options, A,B and C are ordered from the highest to the lowest and thus are in standard form.
The correct options are A,B and C.
The polynomials in standard form are:
- A [tex]\( t^4 - 1 \)[/tex]
- B [tex]\( -2t^2 + 3t + 4 \)[/tex]
- C [tex]\( 4t - 7 \)[/tex]
A polynomial is in standard form if its terms are written in descending order of their exponents. Let's evaluate each option:
- Option A: [tex]\( t^4 - 1 \)[/tex]
- This polynomial is written in descending order of its exponents: [tex]\( t^4 \)[/tex](degree 4) and [tex]\(-1\)[/tex] (degree 0).
- Option B: [tex]\(-2t^2 + 3t + 4\)[/tex]
- This polynomial is written in descending order of its exponents: [tex]\(-2t^2\)[/tex] (degree 2), [tex]\(3t\)[/tex] (degree 1), and [tex]\(4\)[/tex] (degree 0).
- Option C: [tex]\(4t - 7\)[/tex]
- This polynomial is written in descending order of its exponents: [tex]\(4t\)[/tex] (degree 1) and [tex]\(-7\)[/tex] (degree 0).
-Option D: None of the above
- Since options A, B, and C are already in standard form, option D is incorrect.
Complete question : Which polynomials are in standard form? Choose all answers that apply:
A t⁴ -1
B -2t² +3t+4
c 4t-7
D None of the above
The radius of a circle is 4 in . Find it’s circumference in terms of
Answer:
8pi
Step-by-step explanation:
The formula for circumference is the radius multiplied by [tex]2\pi[/tex]. In this case, [tex]4\cdot 2\pi=8\pi[/tex]. Hope this helps!
The radius of a cylindrical water tank is 6ft, and it's height is 15ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number.
Answer:
1695.6
Step-by-step explanation:
What is the slope intercept form of this table?
A. y= 4600 - 600
B. y = 2200x + 600
C. y = 600x + 2200
D. y = 600x
Answer:
C. y = 600x + 2200
Step-by-step explanation:
2800-2200 = 600 = slope
2200 (y value) has the x value 0, so 2200 is the y-inercept
hope this helps :)
1. Select an angle OTHER THAN the right angle in the diagram and WRITE that angle.
2. State whether you will apply the trig function sin, cos, OR tan.
3. List the RATIO (fraction) that is equivalent to the trig function (you chose in #2) applied to that angle you chose in #1
Answer:
see below
Step-by-step explanation:
<X
Sin X = opp side/ hypotenuse
= 28/35
=4/5
Answer:
1) using angle Z
2) sin(Z) = opposite/hypotenuse
sin(Z) = 21/35 = 3/5
3) cos(X) = adjacent/hypotenuse
cos(X) = 21/35 = 3/5
Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 13 seniors.
How
many
different ways can Ms. Bell create a 4-member committee of seniors if
each senior has an equal chance of being selected?
To create a 4-member committee of seniors, Ms. Bell can do so in 715 different ways.
Explanation:To find the number of different ways Ms. Bell can create a 4-member committee of seniors, we use the combination formula. The formula for combinations is C(n, r) = n! / (r!(n-r)!) where n is the total number of items and r is the number of items chosen. In this case, n = 13 (number of seniors) and r = 4 (number of members in the committee). Plugging in these values, we calculate C(13, 4) = 13! / (4!(13-4)!) = (13*12*11*10) / (4*3*2*1) = 13 * 11 * 5 = 715.
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Which rectangular prism will have the largest volume?
l = 4 cm, w = 5 cm, h = 3 cm
h = 3 cm, l = 6 cm, w = 3 cm
w = 6 cm, h = 6 cm, l = 2 cm
w = 3 cm, l = 5 cm, h = 5 cm
I NEEEEED HALPPPPPPPP
Final answer:
The largest volume among the rectangular prisms is 75 cm³, corresponding to the prism with dimensions l = 5 cm, w = 3 cm, and h = 5 cm.
Explanation:
To determine which rectangular prism has the largest volume, we must calculate the volume of each given prism. The volume (V) of a rectangular prism is calculated by multiplying its length (l), width (w), and height (h): V = l × w × h.
For the first prism, V = 4 cm × 5 cm × 3 cm = 60 cm³
For the second prism, V = 6 cm × 3 cm × 3 cm = 54 cm³
For the third prism, V = 2 cm × 6 cm × 6 cm = 72 cm³
For the fourth prism, V = 5 cm × 3 cm × 5 cm = 75 cm³
By comparing the volumes calculated, the prism with dimensions w = 3 cm, l = 5 cm, and h = 5 cm has the largest volume, which is 75 cm³.
The diameter of a circle is 2 units. What is the radius of the circle
Answer:
1
Step-by-step explanation:
The radius is half the size of the diameter.
2 / 2 = 1