one followed by twelve zeros
Answers
Answer:
Trillion is a 1 with 12 zeros after it, and it looks like this: 1,000,000,000,000.
Step-by-step explanation:
Answer:
1000000000000
quadrillions
Step-by-step explanation:
Related Questions
In a bag of marbles, the ratio of blue to red marbles is 2:3. assuming those are the only two colors in the bag, what is the percent of blue marbles in the bag?
Answers
Answer:
40%
Step-by-step explanation:
To solve this problem, you must divide the number of blue marbles by the total number of marbles. 2/5 = 0.40 = 40%
Please help!
Solve the system of equations using the substitution method. Show all work necessary.
y=-14x
x+2y=4
Answers
The required solution of the given simultaneous equation is x = -4/27 and y = 56/27.
What are simultaneous linear equations?
Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Given equation,
y=-14x - - - - - - - -(1)
x+2y=4 - - - - - -- - - -(2)
Put the above value of y in equation 2,
x + 2(-14x) = 4
x - 28x = 4
-27x = 4
x = -4/27
Now,
form expression of y,
y=-14x
y = -14(-4/27)
y = 56/27
Thus, the required solution of the given simultaneous equation is x = -4/27 and y = 56/27.
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(1,1,8)is a triple of natural numbers which has a sum of 10. Consider (1,8,1)and (8,1)to be the same triple as(1,1,8). How many different triples of natural numbers have a sum of 10
Answers
There are 18 different triples of natural numbers with a sum of 10, considering (1,8,1) and (8,1) as the same triple as (1,1,8).
To find the number of different triples of natural numbers with a sum of 10, we can consider different cases based on the value of the first number in the triple.
Case 1: The first number is 1.
In this case, we need to find the number of ways to represent 10 as a sum of the remaining two numbers. Since we have already considered (1,8,1) and (8,1) as the same triple as (1,1,8), we only need to find the ways to represent 10 using two numbers, excluding 1. The possible pairs are:
(2,8), (3,7), (4,6), (5,5)
Case 2: The first number is 2.
In this case, we need to find the number of ways to represent 8 as a sum of the remaining two numbers. The possible pairs are:
(1,7), (3,5), (4,4)
Case 3: The first number is 3.
In this case, we need to find the number of ways to represent 7 as a sum of the remaining two numbers. The possible pairs are:
(1,6), (2,5), (4,3)
Case 4: The first number is 4.
In this case, we need to find the number of ways to represent 6 as a sum of the remaining two numbers. The possible pairs are:
(1,5), (2,4), (3,3)
Case 5: The first number is 5.
In this case, we need to find the number of ways to represent 5 as a sum of the remaining two numbers. The possible pair is:
(1,4)
Case 6: The first number is 6.
In this case, we need to find the number of ways to represent 4 as a sum of the remaining two numbers. The possible pairs are:
(1,3), (2,2)
Case 7: The first number is 7.
In this case, we need to find the number of ways to represent 3 as a sum of the remaining two numbers. The possible pair is:
(1,2)
Case 8: The first number is 8.
In this case, we need to find the number of ways to represent 2 as a sum of the remaining two numbers. The only possible pair is:
(1,1)
Adding up the counts from each case, we get:
4 + 3 + 3 + 3 + 1 + 2 + 1 + 1 = 18
Therefore, there are 18 different triples of natural numbers with a sum of 10, considering (1,8,1) and (8,1) as the same triple as (1,1,8).
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Someone please help me with this, right answers only please!!
Answers
Answer:
g(6) = 71
f(11) = 62
Step-by-step explanation:
Let's solve g(6) first
Plug 6 into x
g(6) = 2(6)^2 - 1
g(6) = 2(36) - 1
g(6) = 72 - 1
g(6) = 71
Now let's solve f(11)
f(11) = 5(11) + 7
f(11) = 55 + 7
f(11) = 62
Thus, out answers are 71 and 62 respectively
93 x 10 with the power of 3
Answers
Answer:93000
—————————————-
93 x 10 = 930
930 x 100 = 93,000
jim has received scores of 69 and 82 on his first two 100 point tests. what score must he get on his third 100 point test to keep an average of 85 or greater?
Answers
Jim needs a score of 97 on his third test to keep an average of 85 or greater.
Average refers to the sum of a set of numbers divided by the count of numbers in the set. It gives a typical or central value that represents the set of numbers.
Given,
The average of his first two tests is (69 + 82) / 2 = 75.5.
To get an average of 85,
he needs the sum of his three tests to be 3 * 85 = 255.
So, the sum of his first two tests is 255 - x, where x is the score he needs on the third test.
Therefore, x = 255 - (69 + 82) = 255 - 151 = 104.
So, he needs a score of 104 on his third test.
Jim needs a score of 97 on his third test to keep an average of 85 or greater.
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Express each of the following integrals as a I function. By computer, evaluate numerically both the I function and the original integral. 2/3 3e 9. dx Hint: Put x4 = u. S* Cºx'e="dx Hint: Put zº = u. 10. 19 21e . d. 11.
Answers
The integral ∫(2/3)3e^(9x)dx can be expressed as ∫e^(9x)^(2/3)dx. By substituting u = 9x, we can transform the integral into the I-function.
For the integral \(∫(2/3)3e^(9x)dx\), substitute u = 9x, which leads to du = 9dx. Rearranging, we have dx = (1/9)du. Substituting these values into the integral, we obtain ∫e^(9x)^(2/3)dx = (2/3)∫e^u^(2/3) * (1/9)du. The resulting integral is expressed in terms of the I-function.
For the integral ∫(Sqrt(cos(x)))^3dx, substitute u = cos(x), which leads to du = -sin(x)dx. Rearranging, we have dx = -du/sin(x). Substituting these values into the integral, we get ∫(cos(x))^(-3/2)dx = ∫u^(-3/2) * (-du/sin(x)).
The resulting integral is expressed in terms of the I-function.
By numerically evaluating both the I-function and the original integral, we can determine their respective values.
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The temperature in Chicago when the plane left was 22°F. When the plane arrived in Atlanta it was 46°F. What was the difference in temperature?
Answers
Answer:
24
Step-by-step explanation:
46 - 22 = 24
what is the slope of this line
Answers
Answer:
where is the line?
Step-by-step explanation:
Rewrite the question and I'll do my best to answer it
Hope this helped!
if the minimum amount of weight you could add to a 10 pound backpack someone was wearing (with them noticing) was 1 pound, how much would have to be added to a 100 pound backpack for them to notice?
Answers
Answer:
10 pounds
Step-by-step explanation:
given ratio weight:added weight=10:1
100:x=10:1
100/x=10/1
solving for x
100=10x
x=10
Special Right Triangles
Answers
Answer:
w ≈ 137.6 feet
Step-by-step explanation:
using the tangent ratio in the right triangle formed
tan54° = \(\frac{opposite}{adjacent}\) = \(\frac{w}{100}\) ( multiply both sides by 100 )
100 × tan54° = w , then
w ≈ 137.6 feet ( to the nearest tenth )
find area of shaded region by using formula a^2-b^2.
Answers
Answer:
216 cm^2
Step-by-step explanation:
15^2 -3^2 = 225 -9
= 216
The price of a car was decreased by 20% to £720.
What was the price before the decrease?
need this ASAP
Answers
0.8 * x =720
x= 900
PLEASE ANSWER this is an exam that I failed but the teacher let me re do: why you would select a tree diagram over using the counting principle.
Answers
How many square units are in a feet?
Answers
According to different units 1 sqaure foot value will be change like
1 square foot (ft²) = 0.09290304 square meters (m²)
What is square foot let's understand?
The square foot is an area measurement unit that is used in both the United States and the United Kingdom. It is also used in Bangladesh, India, Nepal, Pakistan, Ghana, Liberia, Malaysia, Myanmar, Singapore, and Hong Kong to a lesser extent. It is described as the surface of a square with 1-foot sides.
1 square foot (ft²) = 0.09290304 square meters (m²)
1 square foot (ft²) = 144.0000002229 square inches (in²)
1 square foot (ft²) = 0.111111106982 square yards (yd²)
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Between which two numbers is V35 ?
3&5
3&4
4&5
5&6
6&7
17&18
Answers
Answer:
between 5 and 6
Step-by-step explanation:
You mean the square root of 35? You can get that by pressing the omega symbol at the bottom of the editor. Ω It's the √ the third one on the top row.
Anyway that does nothing to add to your question.
√35 is very nearly √36 which is 6
√35 is between 5 and 6. (Choice 4 down).
In a survey asking what is your favorite dessert, 15% of the students said their favorite dessert is candy. This means that 12 students said that candy was their favorite dessert. How many students were surveyed? (Hint you are trying to find the whole).
Answers
Answer:
80 students
Step-by-step explanation:
Ratios:
\(\frac{12}{x} =\frac{15}{100} \\\\15x=1200\\x=80\)
Double check:
80(0.15) = 12
simplify 3c x 5c
show working out
Answers
Answer:
15c
Step-by-step explanation:
3c x 5c =
3 x 5= 15
15c
the easiest way to do this problem is take away the c's in the expression and add them to your answer at the end which you would just be multiplying 5 x3 which = 15 then you would put the c next to the 15 so the answer would be 15c
or A line passes through the points (1,1) and (2,7). Write its equation in slope-intercept form.
Answers
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{1}}} \implies \cfrac{ 6 }{ 1 } \implies 6\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 6}(x-\stackrel{x_1}{1}) \\\\\\ y-1=6x-6\implies {\Large \begin{array}{llll} y=6x-5 \end{array}}\)
the percentage of the original area of wetlands currently left in the united states is approximately: question 44 options: 10%. 25%. 50%. 65%. 75%.
Answers
The percentage of the original area of wetlands currently left in the United States is approximately 50%. So, the correct
option is 50% (option 3).
Percentages are a way of expressing a proportion or a fraction as a part of 100. It is denoted by the symbol "%".
According to the United States Environmental Protection Agency (EPA), it is estimated that about 50% of the original
wetlands in the contiguous United States have been lost since the 1600s due to human activities such as agriculture,
development, and urbanization. Therefore, the correct answer to the question is 50%.
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The percentage of the original area of wetlands currently left in the United States is approximately 50%.
Wetlands are regions of land where the soil is continually or intermittently soaked with water. Wetlands have a particular hydrology, soil, and vegetation mix that results in specialised ecosystems that offer a variety of ecological functions.
There are many different types of habitats where wetlands can be found, such as coastal locations, interior regions, and high-altitude mountain regions. They come in a variety of shapes, such as marshes, swamps, bogs, fens, and estuaries, and can be freshwater, brackish, or saline.
Wetlands are significant for several reasons. For species, such as migrating birds, amphibians, and fish, they offer crucial habitats. They also aid in removing contaminants from water, lessen the effects of flooding, and give people access to recreational activities. Wetlands are crucial for carbon sequestration as well.
Based on the information provided, the question is asking for the approximate percentage of the original area of wetlands currently left in the United States. The answer is approximately 50%.
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A 75 kg box is being pulled across the floor with a force of 465 N. If the kinetic coefficient of friction is 0.57, what is the acceleration of the box?
Answers
The acceleration of an object is interpreted as the rate of change at which its speed varies with time. When the motion is vertical, the object has an acceleration when its speed varies, while when the speed is constant, the acceleration is equal to zero. The acceleration of the box is 0.614 m/s.
What is acceleration?In mechanics, acceleration is defined as the rate of change of an object's velocity with respect to time. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.Deceleration occurs when acceleration is directed in the opposite direction as the velocity of an object.Deceleration is always defined in physics as the slowing down of an object, which means that the magnitude of the velocity decreases.The rate of change of displacement is defined as velocity. The rate of change of velocity is defined as acceleration. Because it includes both magnitude and direction, velocity is a vector quantity. Because it is simply the rate of change of velocity, acceleration is also a vector quantity.To learn more about acceleration refer to:
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answers
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
Select the correct answer.
Which ordered pair represents a point where the graph of f(x) = (x - 1)(x2 + x - 20) crosses the x-axls?
(-1,0)
(-5,0)
(-4,0)
(20,0)
Answers
Answer:
(-5, 0)
Step-by-step explanation:
f(x) = (x - 1)(x2 + x - 20) = 0
x - 1 = 0
x = 1
x^2 + x - 20 = (x + 5)(x - 4)
x + 5 = 0; x - 4 = 0
x = -5; x = 4
Answer: (-5, 0)
If \( M_{1} \cdot V_{1}=M_{2} \cdot V_{2} \), then solve for \( V_{2} \), to one decimal place, when \( M_{1}=22.7, V_{1}=2.70 \), and \( M_{2}=5.24 \)
Answers
To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.
To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).
Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).
Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).
This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.
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To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.
To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).
Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).
Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).
This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.
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Katie sends a letter to 6 friends. Those 6 friends each send the letter to 6 more friends, who all send the letter to George. How many letters does George get? IM STUCK too may ppl for me but please help
Answers
Answer:
216 letters
Step-by-step explanation:
6 times 6 is 36 times 6 is 216 and they all gave it to hime so george got 216 letters
The number of letters George received is 216.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, Katie sends a letter to 6 friends. Those 6 friends each send the letter to 6 more friend.
Total number of letters = 6×6×6
= 216
Therefore, the number of letters George received is 216.
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find the range of the quadratic function f(x)=(x+5)^2+2
Answers
Answer:
[2, ∞)
Explanation:
Given f(x) defined below:
\(f(x)=(x+5)^2+2\)Compare the given quadratic function to the vertex form:
\(f(x)=a(x-h)^2+k\)\(f(x)=a(x-h)^2+k\)The vertex of the function, (h,k)=(-5,2)
What this means is that the minimum value of f(x) is 2.
Therefore, the range of the quadratic function is:
\([2,\infty)\)Consider the two vectors A=4.00i^+5.00j^−3.00k^ and B=2.00i^−3.00j^−5.00k^ (a) Calculate A−B using the components of the two vectors. (b) Calculate the magnitude of the vector difference A−B. (c) Is it possible to calculate a direction for this vector? Explain. (d) Calculate the vector product between the two vectors, A×B.
Answers
(a) The components of the two vectors are A - B = 2.00i + 8.00j + 2.00k.
(b) The magnitude of the vector difference A - B is approximately 11.49.
(c) The vector product A × B is -16.00i + 14.00j - 22.00k.
(a) To calculate A - B, we subtract the corresponding components of the two vectors:
A - B = (4.00i + 5.00j - 3.00k) - (2.00i - 3.00j - 5.00k)
Simplifying:
A - B = 4.00i + 5.00j - 3.00k - 2.00i + 3.00j + 5.00k
Combining like terms:
A - B = (4.00i - 2.00i) + (5.00j + 3.00j) + (-3.00k + 5.00k)
A - B = 2.00i + 8.00j + 2.00k
Therefore, A - B = 2.00i + 8.00j + 2.00k.
(b) To calculate the magnitude of the vector difference A - B, we use the formula:
|A - B| = sqrt((A - B) · (A - B))
where (A - B) · (A - B) represents the dot product of A - B with itself.
|A - B| = sqrt((2.00i + 8.00j + 2.00k) · (2.00i + 8.00j + 2.00k))
Expanding and calculating the dot product:
|A - B| = sqrt((2.00i · 2.00i) + (2.00i · 8.00j) + (2.00i · 2.00k) + (8.00j · 2.00i) + (8.00j · 8.00j) + (8.00j · 2.00k) + (2.00k · 2.00i) + (2.00k · 8.00j) + (2.00k · 2.00k))
|A - B| = sqrt(4.00 + 16.00 + 4.00 + 16.00 + 64.00 + 4.00 + 4.00 + 16.00 + 4.00)
|A - B| = sqrt(132.00)
|A - B| ≈ 11.49
Therefore, the magnitude of the vector difference A - B is approximately 11.49.
(c) To calculate the vector product (cross product) between vectors A and B, we use the formula:
A × B = (A_yB_z - A_zB_y)i + (A_zB_x - A_xB_z)j + (A_xB_y - A_yB_x)k
Plugging in the values:
A × B = ((5.00)(-5.00) - (-3.00)(-3.00))i + ((-3.00)(2.00) - (4.00)(-5.00))j + ((4.00)(-3.00) - (5.00)(2.00))k
Simplifying:
A × B = (-25.00 + 9.00)i + (-6.00 + 20.00)j + (-12.00 - 10.00)k
A × B = -16.00i + 14.
00j - 22.00k
Therefore, the vector product A × B is -16.00i + 14.00j - 22.00k.
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Consider the two vectors A=4.00i^+5.00j^−3.00k^ and B=2.00i^−3.00j^−5.00k^ (a) Calculate A−B using the components of the two vectors. (b) Calculate the magnitude of the vector difference A−B. (c) Calculate the vector product between the two vectors, A×B.
-2x - 2y =-10 and 9x + 7y = 49
Answers
Answer:
I think it is 49
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
let X be a continuous random variable with pdf f(x) = 4x^3, 0 < x < 1
find E(X) (write it up to first decimal place).
Answers
To find the expected value of a continuous random variable X with a given probability density function (pdf), we integrate X multiplied by the pdf over its entire range. In this case, the pdf of X is f(x) = 4x^3, where x ranges from 0 to 1.
To calculate E(X), we integrate x*f(x) from 0 to 1. Substituting the given pdf, we have:
E(X) = ∫(x * 4x^3) dx
= 4∫(x^4) dx
Integrating this expression, we get:
E(X) = 4 * (x^5/5) evaluated from 0 to 1
= 4 * (1^5/5) - 4 * (0^5/5)
= 4/5
Therefore, the expected value of X is 0.8.
In summary, the expected value (E(X)) of the continuous random variable X, with a probability density function f(x) = 4x^3, is 0.8.
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Find the area of the shaded region.
x in.
(6x-9) in.
x in.
(6x-9) in.
Answers
Big square = (6x-9)^2 = 36x^2 -108x + 81
Therefore shaded region = Big square - Unshaded region
= 36x^2 -108x + 81 - x^2
= 35x^2 -108x + 81