Answer:
1. a. one house
from the word itself, "unicameral", and the prefix uni means one.
2. c. item veto
the line-item veto, also called the partial veto, is a special form of veto power that authorizes a chief executive to reject particular provisions of a bill
3. c. elected official
a recall is a procedure that allows citizens to remove and replace a public official before the official's term of office ends.
4. a. size
state legislatures vary in size, and they currently range from 49 to 424 total members.
Use a ratio identity to find tan given the following values.
Answer:
5
Step-by-step explanation:
tan(0) = sin(0)/cos(0) = 5sqrt(26)/(26)/sqrt(26)/26
Cancel the common factor which is sqrt(26)
tan(0) = sin(0)/cos(0) = 5/26 * 26
Cancel common factor again which is 26 here
tan(0) = sin(0)/cos(0) = 5
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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Can anyone tell me What is 95% of 75
Answer:
Also could you mark my answer as brainliest? It helps and doesnt hurt
Amelia grabbed 50% of the M&M's from a bowl. Then, Jess took 50% of what was left. Dominick takes 50% of the remaining M&M's. There were 3 left. How many M&M's were in the bowl before Amelia arrived.
The number of M&M's that were in the bowl before Amelia arrived is; 12
How to solve Percentage problems?Let the original amount in the bowl be x. Thus;
If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x
Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x
Now, we are told that there were finally 3 left after all the deductions. Thus;
0.25x = 3
x = 3/0.25
x = 12
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What does a equal?
(don’t just give the answer pls explain)
hi <3
okay so there are a few rules you need to be aware of first:
- angles in a triangle sum to 180
- angles on a straight line sum to 180
so first, lets find the missing angle of the triangle:
180 - 80 - (a - 5) = 105 - a
now lets form an equation because we know that 180 subtract this angle equals 2a:
180 - (105 - a) = 2a
75 + a = 2a
subtract a from both sides:
a = 75
hope this helps :)
Answer:
the sum of two interior opposite angel is equal to the exterior angel
The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.
You start at (-4, 0). You move right 9 units and down 4 units. Where do you end?
Answer:
5,-4
Step-by-step explanation:
-4 + 9 = 5 and 0 -4 = -4 so the answer will be (5,-4)
Answer:
(5,-4)
Step-by-step explanation:
-4 + 9 = 50 - 4 = -4Put them together: (5, -4)I hope this helps!
Marsha deposited $5,000 into a savings account 2 years ago. The simple interest rate is 3%. How much money did Marsha earn in interest?
Answer:
$300
Step-by-step explanation:
(5000)(2)(3/100)
=300
What Is Equivalent To The Following Equation?
\(4.033865e + 17\)
Need help with this problem quick!!!! <3
The product of a, b, and c would be, 9/8
What is Expression?
An expression, often known as a mathematical expression, is a finite combination of symbols that is well-formed according to context-dependent principles.
First, let's simplify the expression:
\(\frac{6 x^y^{-1} }{\sqrt[{4} ]{(16x^5y^2)}}\\\\\ = \frac{(6x^2y^{-1} )}{4x^{\frac{5}{4} } y^{\frac{1}{2} } } \\\\\)
We can simplify further by dividing both the numerator and denominator by x²:
\(\frac{6x^{2} y^{-1} }{4x^{\frac{5}{4} } y^{\frac{1}{2} }} \\\\= \frac{6y^{-1} }{4x\frac{3}{4} y^{\frac{1}{2} } } \\\\= \frac{\frac{6}{4} *x^{2} y^{-1} }{x^{\frac{3}{4} }y^{\frac{1}{2} } } \\\\=\frac{3}{2x^{\frac{3}{4} }y^{\frac{1}{2} } } \\\\\)
So, a = 3, b = -3/4, and c = -1/2.
The product of a, b, and c is 3 * -3/4 * -1/2 = 9/8.
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Tim's weight was 320 pounds in 2010 and is 180 pounds in 2020. Write a linear model to show Tim's weight since 2010.
Explanation
We are required to determine the linear model to show Tim's weight since 2010.
This is achieved thus:
Let x be the number of years from 2010.
Let y be Tim's weight.
Therefore, we have:
\(\begin{gathered} (0,320) \\ (10,180) \\ \\ \text{ We know that the equation of a line given two points is:} \\ \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \end{gathered}\)\(\begin{gathered} \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ where \\ (0,320)\to(x_1,y_1) \\ (10,180)\to(x_2,y_2) \\ \\ \therefore\frac{y-320}{x-0}=\frac{180-320}{10-0} \\ \frac{y-320}{x}=\frac{-140}{10} \\ \text{ Cross multiply } \\ 10(y-320)=-140x \\ \frac{10(y-320)}{10}=\frac{-140x}{10} \\ y-320=-14x \\ y=-14x+320 \end{gathered}\)Hence, the model is:
\(y=-14x+320\)The slope, M, of the line through the distinct points (x, y) and (y2,y1) is given by the formula m =
Answer:
Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
Step-by-step explanation:
It is wise to remember this formula. It is one of the most important formulas in Algebra and is fundamental in higher level math courses.
We use this formula to determine the slope, or the average rate of change between 2 points.
write an equation that you can use to slove for x enter your answer in the box
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
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Unions, intersections, and complements involving 2 sets
Sets B and C are subsets of the universal set U.
These sets are defined as follows.
U={f, k, m, s, x, y, z)
B={k, s, y}'
C={s,z}
(a) B'UC' = 1
(b) B'nc =
Intersection of B'∩C = {k, y}
To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.
1. Complement of set B (B'):
The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.
2. Intersection between B' and C:
Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.
The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.
So, the answer to (b) is B'∩C = {k, y}.
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An airline estimates that each passenger with baggage weighs 205 pounds.
A gallon of fuel weighs 5 pounds
An airplane can carry 495 passengers and 49,500 gallons of fuel.
Estimate how much an airplane can carry
Options:
A: 300,000 pounds
B: 400,00 pounds
C: 350,000 pounds
Answer:
The estimated weight that the airplane can carry is: Option C: 350,000 pounds
Step-by-step explanation:
Given that each individual weighs 205 pounds with baggage and one gallon of fuel weighs 5 pounds.
We will work out the passengers weight first.
For Passengers:
Let w be the total weight of all passengers
\(w = weight\ of\ one\ passenger * number\ of\ passengers\\w =205 * 495\\w =101475\ pounds\)
For Fuel:
Let f be the total weight of fuel
Then
\(f = Weight\ of\ one\ gallon * Number\ of\ gallons\\f = 5 * 49500\\f =247500\)
Total weight = 101475 + 247500 = 348975 pounds
As 350000 is nearest to the calculated answer, it will be the right answer.
Hence,
The estimated weight that the airplane can carry is: Option C: 350,000 pounds
what is the square root of 36
Answer:
6 !
Step-by-step explanation:
since 6 x 6 = 36, the square root is 6 !
square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!
im not sure if that makes any sense, but i hope it helps !!
WILL MARK BRAINLIEST!!
In a baseball game, a batter standing at home plate sees the second baseman standing on the baseline between 1st and 2nd base as shown in the figure.
If θ=14∘, how far is the second baseman from second base?
Round to the nearest hundredth.
The distance to second base is approximately _________ feet.
The distance to second base is approximately 127.28 feet. Round to the nearest hundredth
How to determine the distance to second baseSince the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse
Using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 90² + 90²
x² = 16200
x = √16200
x = 90√2
x = 127.28 ft (to the nearest hundredth)
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what is 456.87×287.09?
Given:
456.87×287.09
Let's multiply both numbers.
After multiplying, the result we get is called the product of both numbers.
To perform the multiplication, we have:
\(\begin{gathered} 456.87\times287.09\text{ = }131162.8083 \\ _{} \end{gathered}\)ANSWER:
131162.8083
What is the product?
(-202+5)(502-65)
O-1004+17025-652
-1004+170452-652
0-1004-7029-682
0-1004 +1702S+682
9514 1404 393
Answer:
(a) -10d^4 +17d^2s -6s^2
Step-by-step explanation:
Use the distributive property to eliminate parentheses, then collect terms.
\((-2d^2+s)(5d^2-6s)=-2d^2(5d^2-6s)+s(5d^2-6s)\\\\=(-2d^2)(5d^2) +(-2d^2)(-6s)+s(5d^2)+s(-6s)\\\\=-10d^4+12d^2s+5d^2s-6s^2\\\\=\boxed{-10d^4+17d^2s-6s^2}\)
When given two points and asked to find the equation of the line in slope-intercept form, what are the correct steps? Place a number next to the step to put them in order.
When given two points and asked to find the equation of the line in slope-intercept form, the correct steps, the correct order is 2 , 1 , 4 , 3.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
Given that,
given two points and asked to find the equation of the line in slope-intercept form.
Find that,
what are the correct steps? Place a number next to the step to put them in order.
Explanation:
to find the equation of the line in slope intercept form form given two points.
step 1 :
find the slope.
step 2
write equation in point slope form
step 3.
pick a point form the given points , substitue it into the point slope form
step 4.
write the equation in slope intercept form by simplifying
Final Answer.
Hence , the correct order is 2 , 1 , 4 , 3.
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How many triangles are there in a rectangle?
Answer:
um
Step-by-step explanation:
I guess 1 and a half?? i dont quite understand
Answer:
They can vary. Why? Look at the picture
A retailer buys a jacket at a cost of $24 each and sells at a 75% increase in price. What is the retail price of a jacket?
Answer:
$42
Step-by-step explanation:
75%=(3/4) so you do (3/4)*24=18
18+24=$42
Turner is baking apple tartlets for a special celebration he had already made 6 tartlets and he can make 3 more with each additional egg he has in the fridge write an equation that shows how the total number of tartlets
Answer:
y=3x + 6
Step-by-step explanation:
I'm assuming this is correct.
This is a linear (y=mx+b) equation. Turner already has 6 tartlets. That's your "b", or y-intercept. The additional eggs are the "x". Since with "each additional egg" Turner can make 3 more tartlets, you get 3x. You just plug everything into the equation and you get y=3x+6.
Turner is baking apple tartlets for a special celebration he had already made 6 tartlets and he can make 3 more with each additional egg he has in the fridge, an equation that shows how the total number of tartlets is,
Y = 3X+6
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
Turner is baking apple tartlets for a special celebration
He had already made 6 tartlets
He can make 3 more with each additional egg he has in the fridge
Suppose, the number of eggs in fridge is x
for each egg he can make 3 tartlets
So, for x eggs he can make total, 3x tartlets
already he had made 6 tartlets
the total number of tartlets = 3x + 6
Therefore, the equation is Y = 3X+6
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6) Identify the slope (6,2) and (6,-5) *
what amount will be in the fund immediately after the last deposit?(full problem screen shot attached) .
The amount in the fund immediately after the last deposit is $1148830.185
Given,
The amount deposited by Steve annually = $53,700
Interest rate of the fund = 15%
Time period of the investment = 10 years
We have to find the amount in the fund immediately after the last deposit.
Here,
To calculate the future value after the last deposit, we need to use the following formula:
Future Value = {A[(1+i)^n-1]}/i
A = Annual deposit
Then,
FV = {53,700[(1.15)^9 - 1]} / 0.15 + 53,700
FV= 1095130.185 + 53,700
FV= $1148830.185
Therefore,
The amount in the fund immediately after the last deposit is $1148830.185
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4x(x2-4x+5)-2x2(2x2-8x-1)
UNIT 5B SW: Trigonometry
Asking 10 questions similar to this one. 20 point per.
The height of the right triangle which is the value of x is determined as 8.
Option C.
What is the height of the right triangle?
We can use the Pythagorean theorem to solve for the height of the right triangle.
In this case, the hypotenuse has a length of 17 and one of the other sides (the base) has a length of 15. Let x be the length of the height of the triangle.
Then we have:
17² = 15² + x²
Simplifying this equation, we get:
289 = 225 + x²
Subtracting 225 from both sides, we get:
64 = x²
Taking the square root of both sides, we get:
x = 8
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The larger of two numbers is 4 less than four times the smaller number. The sum of the two numbers is 51. Find the two numbers
What are the numbers?
Answer: 40,11
Step-by-step explanation:
larger number=a
smaller number =b
a+b=51
a=4b-4
4b-4+b=51
5b=51+4
5b=55
b=11
a=4*11-4=44-4=40
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line = rise/run = 2/3.
What is the Slope of a Line Using the Rise and Run?The slope of a line is a measure of how steep the line is and it is usually represented by the letter "m". The slope can be found using the rise and run of the line. The rise is the vertical distance between two points on the line and the run is the horizontal distance between the same two points.
The slope of a line is equal to the rise divided by the run. It is often represented as m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.
For example, if you have a line that goes from point (3,5) to point (7,11), the rise would be 6 (11-5) and the run would be 4 (7-3), therefore the slope of the line would be 6/4 = 1.5
Given the graph above, the rise of the line is the blue line = 2 units.
The run is the red line = 3 units.
Slope (m) = rise/run = 2/3.
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Will give correct answer brainlyist
Answer:
a
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
A