Answer:
12
Step-by-step explanation:
if the term to term rule is to divide by two and the third term in the sequence is 3, you work backwards by multiplying by 2
So 3x2=6
6x2= 12
Thus the first number is 12.
working forward again, you can check your answer. Divide 12 by 2, then divide 6 by 2 and you get 3, the third term if the sequence
The first term of the sequence will be 12.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The term to term rule is divide by 2 the third term of the sequence is 3.
Now,
Since, The term to term rule is divide by 2 the third term of the sequence is 3.
So, We get the second number by multiply the 2 in the third number 3.
Second number = 2 x 3
= 6
And, We get the first number by multiply the 2 in the second number 3.
So, First number = 6 x 2
= 12
Thus, The first term of the sequence will be 12.
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Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 167–64 = 0
a. X = -11.1 or x = -12.4
c. x = 16.3 or x = -2.9
b. x = 19.3 or x = -3.3
d. x = 1.3 or x = -3.4
Answer:
C
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 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!
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].
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'
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.
The graph below shows a line of best fit for data collected on the cost of hardwood flooring, from different vendors, as a function of area.
What is the equation of the line of best fit?
We have been given a graph that shows a line of best fit for data collected on the cost of hardwood flooring, from different vendors, as a function of area. We are asked to find the equation of line of best fit.
First of all, we will find the slope of line using point (0,0) and (400,1500) using slope formula.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{1500-0}{400-0}[/tex]
[tex]m=\frac{1500}{400}[/tex]
[tex]m=\frac{15}{4}[/tex]
So the slope of line is [tex]\frac{15}{4}[/tex].
We can see that line starts at origin (0,0), so y-intercept will be 0.
Now we will slope-intercept form of equation [tex]y=mx+b[/tex], where m represents slope and b represents the y-intercept.
[tex]y=\frac{15}{4}x+0[/tex]
[tex]y=\frac{15}{4}x[/tex]
Therefore, our required equation would be [tex]y=\frac{15}{4}x[/tex] and option B is the correct choice.
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:
How is technology affecting the places where people work?
A.more people are working at there own businesses rather than working for others
B.More people are working in the suburban or rural areas near large cities
C.more people are working from a remote location rather than an office building
D.more people are working in a larger and taller building in central cities
Answer:
A
Step-by-step explanation:
Because think about it if there’s no one working in a business then there’s no work and no one gets paid in their business that’s how technology affects places where people work.
The answer is option C - More people are working from a remote location rather than an office building.
Technology has enabled a significant shift in the way people work, allowing many to perform their tasks remotely from locations outside of traditional office settings. With advancements in communication technology, internet connectivity, and collaboration tools, individuals can now work from virtually anywhere with an Internet connection. This trend towards remote work has been accelerated by factors such as the COVID-19 pandemic, which necessitated remote work arrangements for many organizations.
As a result, more people are opting to work from home, co-working spaces, or other remote locations rather than commuting to and working in traditional office buildings. This shift has several implications, including increased flexibility for workers, reduced commuting time and expenses, and the ability for companies to tap into talent from diverse geographical areas without the need for physical relocation.
While some individuals still prefer or require the structure and social interaction of a traditional office environment, the rise of remote work options has fundamentally changed the landscape of where and how people work.
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:
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:
A rectangle has a base of 2 meters and height of 7 and one-half meters What is the area of the rectangle? 9 and one-half meters squared 15 m2 17 and one-half meters squared 19 m2
Answer:
Area = 15 m²
Step-by-step explanation:
Area of A rectangle is length * breadth or height.
Length = 2 m
Height = 7.5 m
So the area = 2*7.5
Area = 15 m²
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.
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
Jemiy put a small box that is 12 inches long, 8 inches wide, and 4 inches tall inside a box that is 20 inches long, 15 inches wide and 9 inches high.How much more space is left inside the larger box.
YO MY N E G G GA ITS 40 RACKS ON KEEP IT A ON GANG FORREAL MY N I 6 G A F5CK 12
Answer:
2,316 cu inch
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)
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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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
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.
What is x? Help please
Answer:
I think it's 100°
Step-by-step explanation:
which graph represents a quadratic function that has one real zero?
Answer:
Step-by-step explanation:
Next time, please share the possible answer choices.
A quadratic function with one real zero actually has TWO real, identical zeros. The vertex of the graph lies on the x-axis (touching it in only one place).
Answer:
a
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)
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
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.
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
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
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
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.
A 1/2 pound of strawberries cost $.98. If you bought 5.5 pounds, how much did you spend?
Answer:
5.5lb of strawberries cost $10.78
Step-by-step explanation:
We can use ratios to solve this problem.
lb : $$$
0.5 : 0.98
5 : 9.8
5.5 : 10.78
5.5lb of strawberries cost $10.78
You can also divide 5.5 by 0.5 (pounds) and multiply the quotient by how much a 0.5 pound of strawberries cost.
To find the total cost of 5.5 pounds of strawberries, determine the cost of one pound by doubling the cost for a half-pound. Then multiply the cost of one pound by the quantity of pounds purchased to get the total cost, which is $10.78.
Explanation:The question asks us to calculate the total cost of 5.5 pounds of strawberries when given the price for a half-pound. The first step is to determine the cost of one pound of strawberries by doubling the cost of the half-pound.
If a 1/2 pound of strawberries costs $0.98, then one pound would cost $1.96 (since 0.98 x 2 = 1.96).
Next, to find out how much 5.5 pounds would cost, multiply the cost of one pound by 5.5:
5.5 pounds of strawberries x $1.96 per pound = $10.78.
Therefore, if you bought 5.5 pounds of strawberries, you would have spent $10.78.
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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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