Answer:
11118 people voted
Step-by-step explanation:
Given
\(Eligible\ Voters = 21800\)
\(Registered\ Voters = 85\%\)
\(Voted\ Voters = 60\%\)
Required
Determine the number of voters
First, we need to determine the number of registered voters.
\(Number = \%Registered\ Voters * Eligible\ Voters\)
\(Number = 85\% * 21800\)
\(Number = 18530\)
Next, we determine the actual voters using
\(Voters = \%Voters * 18530\)
\(Voters = 60\% * 18530\)
\(Voters = 11118\)
Hence, 11118 people voted
GIVING BRAINLIEST TO BEST ANSWER
The triangle ΔKUB is located at K(−4, 3), U(−1, 6) and B(2, 0).
It is rotated 90° counterclockwise about the origin.
What are the coordinates of ΔK' U' B' ?
Answer:
the triangle would be located at 3783<%*
Graph a line with a slope of -5 that contains the
point (-3,-4).
y
6
.
.
2
-6
-4
2
4
-6
Answer:
Step-by-step explanation: idk
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9
different charms for your bracelet.
How many different charm bracelets is it possible to create?
Answer:
It depends on the number of charms that your bracelet can have.
here we need to count the number of selections that we have, and the number of options for each one of these selections.
So if we can have only one charm, we have only one selection, and for that selection, we have 9 options, then there are 9 different one-charm bracelets.
If each bracelet can have 2 charms then we have two selections.
For the first selection, we have 9 options,
If each charm can be selected only one time, then for the next selection we will have 8 options, now the total number of combinations is equal to the product between the numbers of options for each selection, so here the total number of combinations is:
C = 9*8 = 72
If we can select 3 charms, then:
first charm = 9 options
second charm = 8 options
third charm = 7 options
Total number of combinations = 9*8*7 = 504 combinations.
Notice that we can not give an exact answer because we do not know the number of charms in each bracelet and we do not know if a charm can be selected multiple times or only one, but here you could see the general way to solve this kind of problems.
Complete the statement.
The point
1) is on the line y = -2x + 9.
Answer:this would be 16
Step-by-step explanation:It would be because initially it started at x now its not.
Solve A and B please
a. The standard deviation of the tuition is $150.
b. The shape of this distribution is a normal distribution, which is a bell-shaped curve.
How to calculate the value(a) The mean tuition is $100 per credit hour * 15 credit hours per semester + $150 lab fee = $1650 per semester.
The standard deviation of the tuition is l:
= ✓(100² + 150²) =
= ✓22500
= $150.
(b) The shape of this distribution is a normal distribution, which is a bell-shaped curve. The mean is the center of the distribution, and the standard deviation is the width of the distribution. The majority of the tuitions will be close to the mean, with fewer and fewer tuitions as you move further away from the mean.
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I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
In NTUV, the measure of N=90) UV = 8.7 feet, and VT = 3.6 feet. Find the measure of to the nearest degree.
Answer:
5
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Estimate 5 x 212 and get the answer
Answer: 1,055 or 1,059
Step-by-step explanation: (5)(212) 1060 If I were to estimate (5)(212) without solving the answer would be in the 1,050+ range. But if I solve it without estimating the answer is 1,060.
Look at the list below do the numbers show a pattern? explain how you know. 11.23, 10.75, 10.3, 9.82, 9.37, 8.89
Please answer this correctly
Answer:
514 square meters
Step-by-step explanation:
Consider the length of p;
\(11 * p * 3 = 528,\\33 * p = 528,\\p = 528 / 33 = 16 meters\)
11, 3, and p act as the length, width, and height of this rectangular prism. We can apply the volume formula length * width * height, and thus made 11 * p * 3 equivalent to the volume 528. Now let us determine the surface area;
\(Area of Side 1 = 16 * 11 = 176 square meters,\\Area of Side 2 = 3 * 16 = 48 square meters,\\Area of Side 3 = 11 * 3 = 33 square meters,\\\\Surface Area = 2 * ( 176 ) + 2 * ( 48 ) + 2 * ( 33 ) = 352 + 96 + 66 = 514 square meters\)
Hope that helps!
Answer:
514 square meters
Step-by-step explanation:
Since the volume of a rectangular prism is the product of the width, length, and height, 11*3*p=528. Therefore, p=528/(11*3)=16. Now, you can find the surface area. The surface of a rectangular prism is made up of 3 pairs of rectangles. One pair has dimensions of 11 by 3, one pair has dimensions of 16 by 3, and the last pair has dimensions of 16 by 11. The surface area of this figure is therefore:
\(2(11\cdot 3)+2(16\cdot 3) + 2(16\cdot 11)=66+96+352=514 m^2\)
Hope this helps!
What is the angle relationship between ZBAC and ZDCA?
F
R
G
The angle BAC and DCA are alternate interior angles , Option D is the right answer.
What are Parallel Lines ?
The lines in a plane which never intersect and are at a same distance always are called Parallel Lines.
In the given question it is given that there are two lines FG and DE
The lines are parallel to each other , and transversal are AC and BC .
The angle BAC and DCA are alternate interior angles as AC is the transversal of the parallel lines.
Option D is the right answer.
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Find the product. 8 4²/7 × ₁5 15
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120
Solve this problem algebraically, using your knowledge of derivatives. Do not solve by graphing.
If 800 feet of fencing is used to enclose a rectangular plot of land that borders a river, what is the maximum area that can be enclosed? Answer to the nearest square foot without commas. For example, if the answer is 1,000, write 1000.
Answer:
Step-by-step explanation:
What is 98 in exponential form
We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.
To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.
Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:
We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.
To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.
98 ÷ 10 = 9.8
Since 9.8 is still greater than 1, we need to continue dividing by 10.
9.8 ÷ 10 = 0.98
Now, we have reached a value less than 1, so we stop dividing.
From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:
98 =\(10^1\) + 2
Therefore, we can write 98 in exponential form as:
98 = \(10^3\)
In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.
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A survey asked 1654 people how many hours per day they were able to relax, and the results were as follows:
Number of
Hours
0
1
2
3
4
5
6
7
Frequency
120
175
254
302
298
200
213
92
Consider these students as the population, and let the random variable be the number of hours of relaxation for a
person sampled at random from this population. Construct the probability distribution. (Round all probability values
to four decimal places)a
X
0
1
2
3
4
5
6
7
P(X)
Answer:
To construct the probability distribution, we need to calculate the probability for each value of the random variable.The probability of a person having a certain number of hours of relaxation (X) can be calculated by dividing the frequency of that value by the total number of people surveyed (1654).X | P(X)0 | 120/1654 1 | 175/1654 2 | 254/1654 3 | 302/1654 4 | 298/1654 5 | 200/1654 6 | 213/1654 7 | 92/1654Let's calculate these probabilities:X | P(X)0 | 0.0726 1 | 0.1058 2 | 0.1537 3 | 0.1826 4 | 0.1802 5 | 0.1209 6 | 0.1289 7 | 0.0557Rounded to four decimal places, the probability distribution is as follows:X | P(X)0 | 0.0726 1 | 0.1058 2 | 0.1537 3 | 0.1826 4 | 0.1802 5 | 0.1209 6 | 0.1289 7 | 0.0557HELPPP WITH QUESTION 7
5
(a + b)
a-262
if a = 6 and b = -8
(inches)
12
68
9
66
12
75
8.5
65
7
65
11
73
9
61
10
69
6
60
a) Construct a scatter plot for the data provided. Be sure to number and label your
axes, and explain any choices you made in scaling your graph.
b) Estimate a good line of fit for your data. What is the meaning of the slope you
have estimated in the context of your data?
c) Use your linear model from part (b) to predict when the height of someone with a
shoe size of 15.
d) If someone is 54 inches tall, what size shoe might they wear?
Answer:
d
Step-by-step explanation:
If someone is 54 inches tall, what size shoe might they wear?
Question 7(Multiple Choice Worth 5 points)
(Scale Factor MC)
Ascale drawing of a famous statue uses a scale factor of 260:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?
O261 2 feet
0312.0 feet
O216.7 feet
O258.8 feet
The actual height of the statue is 0312.0 feet. Since the scale factor is 260/1.
What is meaning height?
Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is used to describe everything that may be measured vertically, high or low.
Given that to draw a drawing the painter use the scale factor 260:1. It means if the height of a statue in the drawing is 1 unit then the actual height of the statue will be 260.
The height of a statue in the drawing is 1.2 feet.
Assume that the height of the statue be x feet.
Therefore,
x/1.2 = 260/1
x/1.2 = 260
Multiply both sides by 1.2:
x = 260 × 1.2
x = 312
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The correct option is B, 312.0
Any help on this question
Using trigonometric relations we will see that:
a = 5*√3
b = 5
The correct option is the one you marked.
How to get the values of a and b?For a right triangle with a known hypotenuse H and a known angle x, we can use the trigonometric relations:
cos(x)= (adjacent cathetus)/h
sin(x) = (opposite cathetus)/h
Here the hypotenuse measures 10 units, and the known angle is x = 30°.
The adjacent cathetus to that angle is a, so we can write:
cos(30°) = a/10
a = cos(30°)*10 = 10*√3/2 = 5*√3
And b is the opposite cathetus:
sin(30°) = b/10
b = 10*sin(30°) = 5
Then the correct option is the one you marked.
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Given the set S = {a, b, c, d}, answer the following.
(a) How many one-element subsets does S have?
(b) How many two-element subsets does S have?
(c) How many three-element subsets does S have?
(d) How many four-element subsets does S have?
(e) How many zero-element subsets does S have?
(f) How many subsets does S have?
(g) If
n(S) = k,
how many subsets will S have?
Answer:
Step-by-step explanation:
The profit, in dollars, of selling n items is given by P(n) = 0.86n - 2800. Identify the slope and the y-intercept.
Answer: 0.86 and -2800 (choice A)
Explanation:
Think of the given equation as y = 0.86x - 2800
Then compare it to y = mx + b
We see that m = 0.86 is the slope and b = -2800 is the y intercept.
Answer:
Slope: 0.86 , Y-intercept:-2800
Step-by-step explanation:
Linear equations go by the form of y=mx + c
where m is the gradient(slope of the graph) and c is the y-intercept
What do you know about the role of financial accounting standard setting in the United States? This is actually for an intermediate accounting course in college
The role of financial accounting standard setting in the United States is to establish and improve financial accounting and reporting standards to provide useful information to those who need it.
What is the Financial Accounting Standard?The Financial Accounting Standard is a term to refer to an institution established in 1973 that was created with the objective of establishing financial reporting and accounting standards for public and private companies and non-profit organizations.
What is the role of this institution?The main role of this institution is to create accounting standards focused on public companies. This process of creating accounting standards is focused on promoting financial information in the financial field for different institutions and people interested in investing.
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in a single power what is the answer to the following:
5 to the power of 3 divided by 5 ?
3 to the power of 6 divided by 3 ?
Answer:
a-25
b-243
5^3 = 125/3 = 25
3^6 = 729/3 = 243
Solve the following problems using the Polygon Interior Angle Sum Theorem and Polygon Exterior Angle Sum Theorem.
Sum of the measures of the interior angles of the regular nonagon
Measure of each interior angle of the regular nonagon
Measure of each exterior angle of the regular nonagon
a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°
b) The measure of each interior angle of the regular nonagon is a = 140°
c) The measure of each exterior angle of the regular nonagon is b = 40°
Given data ,
Sum of the measures of the interior angles of a regular nonagon:
The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:
Sum of interior angles = (n - 2) * 180°
For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:
Sum of interior angles = (9 - 2) * 180
Sum of interior angles = 7 * 180
Sum of interior angles = 1260°
So, the sum of the measures of the interior angles of a regular nonagon is 1260°
Measure of each interior angle of a regular nonagon:
Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:
Measure of each interior angle = Sum of interior angles / Number of sides
Measure of each interior angle = 1260 / 9
Measure of each interior angle = 140°
So, the measure of each interior angle of a regular nonagon is 140°
Measure of each exterior angle of a regular nonagon:
The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°
Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:
Measure of each exterior angle = 360 / Number of sides
Measure of each exterior angle = 360 / 9
Measure of each exterior angle = 40°
Hence , the measure of each exterior angle of a regular nonagon is 40°
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an airlane is on heading of 075 degree at 250 km/h wind is blowing from 300 Determine the resultan velocity of the airplane using cartesian vectors and state the ground speed and bearing of the resultant
The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).
How to solve for the airplane's groundspeed
To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.
Let's denote:
Vp = airplane's speed = 250 km/h
θp = airplane's heading = 075 degrees
Vw = wind's speed = 85 km/h
θw = wind's heading = 300 degrees
We can then find the eastward (x) and northward (y) components of the velocities:
For the airplane:
Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h
Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h
For the wind:
Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h
Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h
We then sum the x and y components of the two velocities to find the resultant velocity components:
Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h
Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h
The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:
Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h
The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:
θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees
Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).
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A new dining plan was implemented in a residence hall at State University. Residents were asked to assess the new plan and give a grade of A, B, C, D, or F to the new dining plan. Of 482 residents, 234 gave a grade of A, 148 a grade of B, 87 a grade of C, and 9 a grade of D. There were ______ "F"s.A. 10B. 6C. 8D. 4
There were four (4) "F"s. Therefore, the correct answer is option D: "4".
The total number of residents who gave a grade to the new dining plan is 234 + 148 + 87 + 9 = 478, which is less than the total number of residents in the residence hall (482). This means that 482 - 478 = 4 residents did not give a grade to the new dining plan.
Therefore, the number of residents who gave a grade of F to the new dining plan is 482 - (234 + 148 + 87 + 9) - 4 = 4.
Therefore, the answer is D: 4, meaning that there were 4 "Fs".
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Find the value of X
40°
(12x-8)
please help I have 10 mins left on my test
Answer:
B.4 12x-8 would be 12x_-8=40 this is because 12x-8 is congruent to the 40 degree angle. so what -8 is 40? 48 12x_=48 x=4 12x4=48 48-8 is 40
plz let me know if i am wrong mark brainliest if right
Step-by-step explanation:
Rewrite the expression by combining like terms.
3y + 5x2 + 10x + 2x2 + 15x - 3y
2 + 2xy + 2x
3x2 + 3x + 6y
7x24
30x² + 6y² + y
Answer:
Factoring 3x2 - 2x - 1
The first term is, 3x2 its coefficient is 3 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
3x2 - 3x + 1x - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-1)
Add up the last 2 terms, pulling out common factors :
1 • (x-1)
Step-5 : Add up the four terms of step 4 :
(3x+1) • (x-1)
Which is the desired factorization
Final result :
5xy2 • (x - 1) • (3x + 1)
Really need help asap !
The value of h(x) using exponents are as follows:
For -1, the value of h(x)=1/10
For 0, the value of h(x) = 1
For 1, the value of h(x) = 10
For 2, the value of h(x) = 100
For 3, the value of h(x) = 1000
What are exponents?The exponent of a number tells us how many times the original value has been multiplied by itself. For instance, 2×2×2×2 can be expressed as \(2^{4}\) the result of 4 times multiplying 2 by itself. Thus, 4 is referred to as the "exponent" or "power," while 2 is referred to as the "base."
Generally speaking, \(x^{n}\) denotes that x has been multiplied by itself n times. Here x is the base and n is the power.
Now here, as we put the value of x in the equation, h(x) we can get the value of h(x) for each value of x.
So,
For -1, the value of h(x)=1/10
For 0, the value of h(x) = 1
For 1, the value of h(x) = 10
For 2, the value of h(x) = 100
For 3, the value of h(x) = 1000
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Surface are of prisms
Answer:
Area of cube formula - A=6a2
Area of rectangular prism - A=2(wl+hl+hw)
Answer:
1. Nets
2. Surface Area
3.area
4. add
5. A= 1/2 bh
Step-by-step explanation:
Side A- 8x5 = 40 sq.m
Side B - 3x8 = 24 sq.m
side c - 5x8 = 49 sq.m
side d - 1/2 ( 3x 2) = 3
side E- 1/2 (3x2) = 3
Area of rectangular prism - 2 (wl + wh + lh)
surface area of cube = 6a^2 ( a is edge)