Answer:
A. Checks and Balances.
Step-by-step explanation:
Checks and balances is a system of government that keeps branches from becoming too powerful. An example of this would be a president or governor vetoing a bill.
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The surface area of a particular cube is 600 square inches. When the edges of the cube are doubled in length, what is the volume of the new cube, in cubic inches
when the edges of the cube are doubled in length, the volume of the new cube is 8,000 cubic inches.
To find the volume of the new cube when the edges of the original cube are doubled in length, we'll first need to find the side length of the original cube using the surface area, and then calculate the volume of the new cube. Here are the steps:
1. The surface area of the original cube is given as 600 square inches. A cube has six faces, so we'll divide the surface area by 6 to find the area of one face: 600 / 6 = 100 square inches.
2. To find the side length of the original cube, we'll take the square root of the area of one face. In this case, the square root of 100 is 10 inches.
3. Now that we know the side length of the original cube (10 inches), we'll double it to find the side length of the new cube: 10 x 2 = 20 inches.
4. Finally, we'll calculate the volume of the new cube using the formula for the volume of a cube, \(V = (side)^3\). In this case, \(V = (20)^3 = 20 x 20 x 20 = 8,000 cubic inches\).
So, when the edges of the cube are doubled in length, the volume of the new cube is 8,000 cubic inches.
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(q014) how many of the twenty-five top-grossing films of 2017 in the united states were part of a movie franchise?
five out of of the twenty-five top-grossing films of 2017 in the united states were part of a movie franchise
If you were to attribute this film, that means you'd say that (something) caused the success of the movie Rocky. This question is basically asking what do you think made this movie a big hit? Personally, I'd say it's because of how the storyline and plot turned out. It's very intriguing and it doesn't just make the movie about boxing. The film adds some love between the protagonist and some other character, and not only that, but the movie teaches you something. Because Rocky lost to Apollo, Rocky didn't care. At least he still had Adrian. So, the movie teaches you that, even if you do lose, at least you still have something and/or someone with you.
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3x² + 7%-6
Please help me solve it!!
Answer:it’s factorable
Step-by-step explanation:
I mean I don’t really hve a method to this but u could use the ac method as a is greater than 1. I just factorise in my head automatically.
Answer:
(x + 3)(3x - 2)
Step-by-step explanation:
Multiply the 3 and -6 together to get -18 . What two numbers add to 7 and multiply to -18? 9 and -2
So we can now split the middle term like this...
= 3x^2 + 9x - 2x - 6
Now factor a 3x out of the first two terms.
= 3x(x + 3) - 2x - 6
Now factor a -2 out of the last two terms.
= 3x(x + 3) - 2(x + 3)
Now factor a (x + 3) out of both remaining terms.
= (x + 3)(3x - 2)
Write the expression in standard form a+bi: (8-i)/(2+i)
Answer:
The expression (8-i)/(2+i) in standard form is, 3 - 2i
Step-by-step explanation:
The expression is,
(8-i)/(2+i)
writing in standard form,
\((8-i)/(2+i)\\\)
Multiplying and dividing by 2+i,
\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)
Hence we get, in standard form, 3 - 2i
The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).
To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.
The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:
(8-i)/(2+i) * (2-i)/(2-i)
Using the distributive property, we can expand the numerator and denominator:
(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))
Simplifying further:
(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)
Since i^2 is equal to -1, we can substitute -1 for i^2:
(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))
Combining like terms:
(15 - 10i) / (3 + 4i)
Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).
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a kite 100 ft 100 ft above the ground moves horizontally at a speed of 8 ft/s 8 ft/s . at what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft 200 ft of string have been let out? rad/s rad/s
The angle between string and horizontal decreases at the rate of 0.02 rad/sec
A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s.
The horizontal decreasing when 200 ft of string have been let out.
We have to find out at what rate is the angle changing means \($\frac{\mathrm{d} \theta}{\mathrm{dt}}$\)
Given, \($$\frac{\mathrm{dx}}{\mathrm{dt}}=8$$\)
from figure\($\therefore \tan \theta=\frac{100}{\mathrm{x}}$, and $\sec \theta=\frac{200}{\mathrm{x}}$\)
Differentiating w.r.tt, we get
\($$\begin{aligned}& \sec ^2 \theta \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{100}{\mathrm{x}^2} \frac{\mathrm{dx}}{\mathrm{dt}} \\& \left(\frac{200}{\mathrm{x}}\right)^2 \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{100}{\mathrm{x}^2} \frac{\mathrm{dx}}{\mathrm{dt}} \\& \frac{40,000}{\mathrm{x}^2} \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{100}{\mathrm{x}^2} \times 8 \\& \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{800}{40,000} \\& =-0.02\end{aligned}$$\)
Therefore, the the angle (in radians) between the string and the horizontal is \(-0.02\).
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How does a qualitative graph describe the relationship between quantities? Explain your reasoning.
Qualitative graphs depict the relationship between two quantities without including numerical values.
The benefit is that it only shows the overall trend of the effect. When we experiment with these variables, we can immediately see how the graph will look. This could validate our findings.
A quantitative relationship emerges as one variable influencing another, which can be seen with a graph. Examine how each variable is represented on the graph, as well as how quantitative relationships are stated using equations.
Quantitative data refers to data that's represented by numbers.
This is the result of graphing all of the data points. Look at that, our data points have formed a straight line! We can draw the line in using a ruler to make it more visible. We'll notice that the line passes through all of the points in our data, indicating that there is a definite relationship in our quantitative data.
Thus, qualitative graphs depict the relationship between two quantities without including numerical values.
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Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend.
Matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years.
Which number represents the rate at which the water level fell? -1.05mm/year
Which number should the rate be multiplied by to find the total variation in water level?
2.48 years
that's the correct answer ^
This data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.
Which number represents the rate at which the water level fell?
Which number should the rate be multiplied by to find the total variation in water level?
Answer:
a) Which number represents the rate at which the water level fell? -1.05mm/year
b) Which number should the rate be multiplied by to find the total variation in water level?
2.48 years
Step-by-step explanation:
Total variation in water level is calculated as the rate at which the water level fell multiplied by number of years are which the water level fell.
Mathematically = Rate at which the water level fell(mm/year) × number of years are which the water level fell (years).
Total variation in water levels can be caused by changes in climate conditions or by human activity.
Hence, for the question above,
rate at which the water level fell is
given as -1.05mm/year and the number that the rate be multiplied by to find the total variation in water level is 2.48 years.
Answer:
Which number represents the rate at which the water level fell?
✔ -1.05 mm/year
Which number should the rate be multiplied by to find the total variation in water level?
✔ 2.48 years
Step-by-step explanation:
I did it on edg and got it right
can I have some brainiest
Can someone help me
Answer:
9 mi.
Step-by-step explanation:
sorry if i get it wrong ):
Answer:
15/3 equals 5
5 inches
Step-by-step explanation:
Geometry 10th Grade. Help but only with right answers don't waste the answers
Answer:
the last one, d
Step-by-step explanation:
simplify it and you get x+3, y+1 which is the translation on the graph.
The absolute value of x=5
The absolute value of x=5 is 5.
How to determine the absolute valueThe absolute value of a number is its positive equivalent of the number
For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.
Generally, it is denoted by the symbol |x|.
So, we have
The absolute value of x=5
This gives
x = |5|
Evaluate
x = 5
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use l'hopital's rule to show that the sequence whose nth term is converges. to what number converges?group of answer choices- 43- 10
The sequence whose nth term is (2n+1)/(3n-1) converges to the number 2/3.
To use L'Hopital's rule, we need to take the limit of the ratio of the nth term and (n-1)th term as n approaches infinity.
Let a_n be the nth term of the sequence. lim (n->∞) a_n / a_(n-1) = lim (n->∞) (2n+1)/(3n-1) / (2n-1)/(3n-4) = lim (n->∞) [(2n+1)/(3n-1)] * [(3n-4)/(2n-1)] = lim (n->∞) [6n^2 - 5n - 4]/[6n^2 - 7n + 4]
By applying L'Hopital's rule, we can find that the limit of this ratio as n approaches infinity is 1. Thus, the sequence converges to the same limit as the ratio of consecutive terms, which is 2/3.
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Please help fast I got to turn it in
There are 5 brown horses and 4 tan horses in a barn. Sonia will randomly select two horses to ride with her friend. What is the probability that
the first horse selected is tan and the second horse selected is brown?
20/81
5/18
2/9
1/20
Answer:
5/18
Step-by-step explanation:
The total number of horses present is 9
The probability that the first selected horse is tan is 4/9
So , now for the second choice , we are left with 8 total horses of which 5 is brown
The probability is 5/8
So the joint probability is the product of this two
That will be;
5/8 * 4/9 = 5/18
A toy which was bought for RS
A kettle is sold at a profit equal to one-fourth of its cost price. Find the profit percentage
Crice Find the profit %
Answer:
\(Profit\% = 25\%\)
Step-by-step explanation:
Given
Let the cost price be x
The profit be y
Required
Determine the profit percentage:
According to the question; profit = 1/4 of cost price.
So:
\(y =\frac{1}{4}x\)
The percentage profit is then calculated as:
\(Profit\% = \frac{Profit}{Cost\ Price} * 100\%\)
This gives:
\(Profit\% = \frac{Profit}{Cost\ Price} * 100\%\)
Substitute values for profit and cost price
\(Profit\% = \frac{\frac{1}{4}x}{x} * 100\%\)
\(Profit\% = \frac{1}{4} * 100\%\)
\(Profit\% = \frac{1 * 100\%}{4}\)
\(Profit\% = 25\%\)
A blueprint with a scale of 1/4 inch = 1 foot shows a room with dimensions of 3 inches by 3 1/2 inches. What are the actual dimensions of the room?
The choices are down below also please show work thank you!
The actual dimensions of the room represented in the blueprint with a scale of 1/4 inch = 1 foot are 12 feet by 14 feet.
To find the actual dimensions of the room, we need to convert the measurements from the blueprint scale to real-world measurements.
Given that 1/4 inch on the blueprint represents 1 foot in actual size, we can set up a proportion to solve for the actual dimensions.
Let x represent the actual length of the room. Using the proportion:
1/4 inch / 1 foot = 3 inches / x feet
Cross-multiplying, we get:
1/4 * x = 3
Simplifying the equation, we find:
x = 12
Therefore, the actual length of the room is 12 feet.
Similarly, for the width of the room, we set up another proportion:
1/4 inch / 1 foot = 3 1/2 inches / y feet
Converting 3 1/2 inches to a fraction of a foot:
3 1/2 inches = 7/2 inches = 7/2 * (1/12) feet = 7/24 feet
Solving the proportion:
1/4 * y = 7/24
Simplifying the equation:
y = 7/6 * 4 = 28/6 = 14/3
Therefore, the actual width of the room is approximately 4 2/3 feet or 14/3 feet.
In conclusion, the actual dimensions of the room are approximately 12 feet by 4 2/3 feet or 12 feet by 14/3 feet.
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If there are 11 students in the class, how many ways are there to make a team of 5 and a team of 6 if there are no jerseys?
To calculate the number of ways to form a team of 5 and a team of 6 from a class of 11 students without considering specific assignments such as jerseys, we can use combinations. So, there are also 462 ways to form a team of 6 from the same class of 11 students.
The number of ways to choose a team of 5 from 11 students can be calculated using the combination formula:
C(n, k) = n! / (k! * (n - k)!)
Where n is the total number of students and k is the number of students in the team. In this case, n = 11 and k = 5.
C(11, 5) = 11! / (5! * (11 - 5)!)
= 11! / (5! * 6!)
= (11 * 10 * 9 * 8 * 7) / (5 * 4 * 3 * 2 * 1)
= 462
Therefore, there are 462 ways to form a team of 5 from a class of 11 students.
Similarly, the number of ways to form a team of 6 can be calculated:
C(11, 6) = 11! / (6! * (11 - 6)!)
= 11! / (6! * 5!)
= (11 * 10 * 9 * 8 * 7 * 6) / (6 * 5 * 4 * 3 * 2 * 1)
= 462
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In a fruit bowl, there are 8 apples, 2 bananas, and 4 pineapples. What is the ratio of pineapples to bananas? Reduce if necessary.
Answer:
2:1
Step-by-step explanation:
4 pineapples, 2 bananas
4:2
2:1 (If reduced)
the horizontal, continuous lintel on a classical building supported by columns is called a stylobate. T/F
The statement "the horizontal, continuous lintel on a classical building supported by columns is called a stylobate" is False.
The horizontal, continuous lintel on a classical building supported by columns is called an entablature, while the stylobate is the platform on which the columns stand.
In classical architecture, the entablature is the horizontal, continuous lintel that rests on top of the columns and consists of three parts: the architrave (the bottom layer), the frieze (the middle layer), and the cornice (the top layer). The entablature helps to unify the columns and create a sense of continuity across the facade of the building.
The stylobate, on the other hand, is the platform or base upon which the columns stand, and is usually elevated above ground level. Together, the stylobate and entablature form the colonnade, a defining feature of classical architecture.
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What is the supplementary angle?
Answer:
measure of supplementary angle 180-69.3=110.7
Given: ABCD is a parallelogram; BE | CD; BF | AD
Prove: BA EC = FA BC
Using the properties of parallelograms and the given information, we proved that BAEC is equal to FABC. We utilized angle-angle similarity and the proportional relationships of corresponding sides in similar triangles to establish the equality.
To prove that BAEC = FABC, we will use the properties of parallelograms and the given information.
Given:
ABCD is a parallelogram.
BE is parallel to CD.
BF is parallel to AD.
To prove:
BAEC = FABC
Proof:
Since ABCD is a parallelogram, we know that opposite sides are parallel and equal in length. Let's denote the length of AB as a, BC as b, AD as c, and CD as d.
Since BE is parallel to CD and AD is parallel to BF, we have angle ABE = angle CDF and angle ADB = angle BFD.
By alternate interior angles, angle CDF = angle FAB.
Now, we have two pairs of congruent angles: angle ABE = angle CDF and angle ADB = angle BFD.
Using angle-angle similarity, we can conclude that triangle ABE is similar to triangle CDF and triangle ADB is similar to triangle BFD.
As the corresponding sides of similar triangles are proportional, we have the following ratios:
AB/CD = AE/CF (from triangle ABE and triangle CDF similarity)
AD/BC = BD/CF (from triangle ADB and triangle BFD similarity)
Cross-multiplying the ratios, we get:
AB * CF = CD * AE (equation 1)
AD * CF = BC * BD (equation 2)
Adding equation 1 and equation 2, we have:
AB * CF + AD * CF = CD * AE + BC * BD
Factoring out CF, we get:
CF * (AB + AD) = CD * AE + BC * BD
Since AB + AD = CD (opposite sides of a parallelogram are equal), we have:
CF * CD = CD * AE + BC * BD
Simplifying, we get:
CF = AE + BC
Therefore, we have shown that BAEC = FABC.
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if u solve this ur cool
Answer: A rectangle is ALWAYS a parallelogram and not all parallelograms are rectangles. (ex. Rhombus, square are both parallelograms) So Ainsley is wrong.
Step-by-step explanation: Parallelograms is a quadrilateral shape with 2 pairs of parallel sides. So, a rectangle has to always be one.
5/8 times by 1/12
What is the answer in its simplest form?
Answer: 5/96
Step-by-step explanation:
find the general solution of the given differential equation. dy dx + y = e6x
Isolate y by dividing by e^x: y(x) = (1/7)e^(6x) + C*e^(-x). This is the general solution of the given differential equation.
The given differential equation is of the form dy/dx + y = e^(6x). To find the general solution, we can first solve the homogeneous equation dy/dx + y = 0, which has a solution y = Ce^(-x), where C is a constant. To find the particular solution, we can use the method of variation of parameters, which gives us y = (1/7)e^(6x) - (1/7)Ce^(-x), where C is again a constant. Therefore, the general solution of the given differential equation is y = Ce^(-x) + (1/7)e^(6x), where C is any constant. This solution satisfies the differential equation for any value of C. This explanation is 99 words. The given differential equation is dy/dx + y = e^(6x). This is a first-order linear differential equation. To find the general solution, we first determine the integrating factor (IF) by calculating e^(∫1 dx) = e^x. Now, multiply both sides of the equation by the IF: e^x(dy/dx) + e^x*y = e^(7x). The left side is now the derivative of a product, i.e., d/dx(y*e^x).
Next, integrate both sides with respect to x: ∫[d/dx(y*e^x) dx] = ∫[e^(7x) dx]. This results in y*e^x = (1/7)e^(7x) + C, where C is the constant of integration. Finally, isolate y by dividing by e^x: y(x) = (1/7)e^(6x) + C*e^(-x). This is the general solution of the given differential equation.
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Subtract. −145−(−278) Enter your answer as a simplified fraction by filling in the boxes.
Or,-145-(-278) (minus minus plus)
-145+278
133
Answer:
your answer to your math problem is 133
Step-by-step explanation:
Write a formula for the total cost, (T), in pence, of 2 cups of lemonade and 5 chocolate bars.
A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi square is 23.45 and the critical Chi square is 9.488. What may be concluded
Since the obtained Chi square (23.45) is greater than the critical Chi square (9.488), we can conclude that there is a significant relationship between marital status and church attendance.
A Chi square test is used to determine whether there is a significant association between two categorical variables. In this case, the variables are marital status and church attendance.
The obtained Chi square value of 23.45 suggests that there is a significant association between these variables. The critical Chi square value of 9.488 is the cutoff point beyond which the obtained Chi square value is considered significant. Since the obtained Chi square value is greater than the critical Chi square value, we can reject the null hypothesis that there is no association between marital status and church attendance.Based on the results of the Chi square test, we can conclude that there is a significant relationship between marital status and church attendance. However, the Chi square test does not tell us the direction or strength of the relationship. It only indicates that the two variables are associated with each other. Further analysis is needed to determine the nature of the relationship. For example, we could conduct a post hoc analysis to determine which specific marital status groups are more likely to attend church than others.Thus, as the obtained Chi square (23.45) is greater than the critical Chi square (9.488), we can conclude that there is a significant relationship between marital status and church attendance.Know more about the critical Chi square
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in a distribution, a random variable can take any value in a specified range. group of answer choices discrete probability cumulative relative frequency continuous probability
In a continuous probability distribution, a random variable can take any value in a specified range. (Option D)
A probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. Continuous probability distribution refers to a probability distribution with continuous types of data or random variables where the random variable can take on any value and is continuous. As there are infinite values that the variable can assume, the probability of the variable assuming any one specific value is zero. A continuous distribution is characterized by a range of values that are infinite, and therefore uncountable. The normal distribution is one example of a continuous distribution.
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248 miles per hour = x meters per second. Round to the nearest hundredth.
Answer:
110.87 m/sStep-by-step explanation:
This problem is based on unit conversion from miles per hour to meter per second.'
From tables 1 mph= 0.44704 m/s
Given 248 mph to be converted to meters per second.
hence we have
1 mph= 0.44704 m/s
248 mph= x
cross multiplying we have
x= 110.86592 m/s
to the nearest hundreth we have
110.87 m/sprove that on a surface s, the sum of the x-intercept y-intercept and z-intercept at any point on the tangent plane is k^2
To prove the sum of all the intercepts = k^2
xi + yj +zk = k^2
The gradient of the function f(x,y,z) = s
f(x,y,z = 1/2sxi + 1/2 syj =1/2 szk
And the tangent plane at the point (xo,yo,zo) is
sx/x + sy/y + sz/z
= sxo/xo + syo/yo + szo/zo
=> sxo/xo + syo/yo + szo/zo = k ........(1)
To find the x intercept , we set y =z=0 and obtain x = ksxo/sx. similarly, y = ksyo/yo and z= kszo/zo. their sum is
ksxo/xo + ksyo/yo + kszo/zo
=k( sx0/xo + syo/yo + szo/zo)
=k.k = k^2 ...from eqn 1
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How do you solve this?
Step-by-step explanation:
g(x) is also called y. the functional result value for an input value x is shown in the y direction above or below that x value on the x axis.
so, when it says g(x) = c, the solution is to find the values of x for which b the function g delivers c as result.
now, we look at the graphic.
for example, g(x) = 0 (c = 0) has actually 3 solutions, as the function crosses the x-axis (and that means y or g(x) = 0) 3 times. so, there are 3 different values of x that create g(x) = 0.
but we are looking for a c that has only one solution (one value of x to create that result).
c = 1 ?
let's imagine a horizontal line through y = 1.
we see, it cuts the function also 3 times. 3 solutions.
c = -1 ?
a similar horizontal line through y = -1 cuts the function also 3 times. 3 solutions
but c = 3 !
a horizontal line through y = 3 stays above all the waves of the function and then cuts the function only one time at the very right. 1 solution !
and that is therefore our answer.