Answer: the answer is b
Step-by-step explanation:
Answer: B.63
Step-by-step explanation: OK so if angle VKQ is 153, then angle DKJ also has to be 153 because of vertical angles. Then we know that angle MKJ is 90, so angle DKM is angle DKJ. Minus 90. 153-90=63.
Describe the graph of the line x = 12.
1.vertical line
2.crosses the y-axis
3.line with slope of 12
4.horizontal line
The only thing we can say about the line is that x = 12 is a vertical line.
What can we say about the graph of the line x = 12?
Remember that the general linear equation is:
a*x + b*y = c
Particularly, if we take b = 0, the dependence on y disappears, and then we get a vertical line.
This is just a vertical line that crosses the x-axis at x = 12. (and never crosses the y-axis).
So the only correct option is the first one.
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Answer:
1. Vertical Line
Step-by-step explanation:
Suppose That The Fifty States Are The Observational Units (Subjects) Of Interest. Identify Which Of The Following Are Legitimate Variables (V) And Which Are Not (N). a. The Number Of States That
b. the percentage of the state's residents over 65 years of age
c. the highest speed limit in the state
d. whether or not the state's name consists of the one word
The different scenarios given in the question are categorized as legitimate variables or not as given below.
What is a variable?
A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable. A variable is a letter that stands in for an unknown; it always represents a number but can take on several meanings when used in an expression.
a) Numer of states that have a female governor has only one value and it cannot be varied. So it is not a legitimate variable(N).
b) The percentage of state's residents over 65 years of age is a legitimate variable (L) because the number will vary for different states.
c) The highest speed limit in the state is a legitimate variable(L) as the limits are different for different states.
d) Whether or not the state's name consists of one word is a legitimate variable(L) as it varies for different states.
Therefore the different scenarios are categorized as legitimate variables or not.
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multiply [4, 0, -1, 2, -3, -1]x[0, 1, -3, 1]
Please Help...
Multiplication of the given matrix is not possible by definition of matrix multiplication.
Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Expression for multiply,
⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]
Since, We can see that;
First matrix have order 1 x 6
And, Second matrix have order 1 x 4
We know that;
Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.
Hence, By given matrices we get;
Number of column in first matrix (6) ≠ number of rows in second matrix (1)
So, Multiplication of the given matrix is not possible by definition of matrix multiplication.
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_____ data are information about people, places, and things that can be measured with numbers.
Answer:
numerical
Step-by-step explanation:
i guess not sure though
2tan(x/2)- csc x=0 interval [0,2pi)
Answer:
\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)
Step-by-step explanation:
Given trigonometric equation:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:
\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)
Therefore:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)
\(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)
\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)
\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)
Simplify the numerator:
\(\dfrac{1-2\cos x}{\sin x}=0\)
Multiply both sides of the equation by sin x:
\(1-2 \cos x=0\)
Add 2 cos x to both sides of the equation:
\(1=2\cos x\)
Divide both sides of the equation by 2:
\(\cos x=\dfrac{1}{2}\)
Now solve for x.
From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:
\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)
Therefore, the values of x in the given interval [0, 2π), are:
\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)
Use inverse functions where needed to find all solutions of the equation in the interval [0,2pi]
Step 1
Solve the quadratic equation for sin x
\(\begin{gathered} \text{let sinx = m} \\ 2m^2-19m+9=0 \end{gathered}\)\(\begin{gathered} The\text{ factors to simplify the quadratic equation are} \\ -18m\text{ and -m} \end{gathered}\)\(\begin{gathered} \text{Hence,} \\ 2m^2-18m-m+9=0 \\ (2m^2-18m)(-m+9)=0 \\ 2m(m-9)-1(m-9)=0_{}_{} \end{gathered}\)\(\begin{gathered} (2m-1)(m-9)\text{ = 0} \\ (2m-1)\text{ = 0} \\ \text{or} \\ m-9=0 \\ 2m=1 \\ or \\ m=\text{ 9} \\ \text{Hence,} \\ m=\frac{1}{2}or\text{ 9} \end{gathered}\)Step 2
But m = sin x
\(\begin{gathered} \text{Therefore,} \\ \sin x=9 \\ x=\sin ^{-1}(9)\text{ = No solution} \\ \sin x=\frac{1}{2} \\ x=\sin ^{-1}(\frac{1}{2}) \\ x=30^{\circ} \end{gathered}\)\(undefined\)You have already saved $55. You earn $9 per hour at your job. You are
saving for a bicycle that costs $199. What inequality represents the possible
numbers of hours you need to work to buy the bicycle?
Answer:
$55+$9x≥$199
You must work for at least 16 hours to be able to buy the bicycle.
Step-by-step explanation:
Let x represent the number of hours you need to work to buy the bicycle.
You already have $55.
⇒$55+ −−−−−≥ −−−−−
You also earn $9 per hour.
Algebraically, this can be written as 9x.
⇒$55+$9x≥ −−−−−
You need to earn at least $199 to buy the bicycle.
⇒$55+$9x≥$199
The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.
Let's find out how many hours you need to work to buy the bicycle.
Subtracting $55 from both sides of the inequality:
⇒$55−$55+9x≥$199−$55
⇒$9x≥$144
Dividing both sides by $9:
⇒$9x$9$=$144$9
∴x≥16
Therefore, you need to work at least 16 hours to afford the bicycle.
Find the area of each regular polygon. Round your
answer to the nearest tenth if necessary.
10.4
661.5
364
O 462.7
533.6
10
Area of the given heptagon = 364 square unit.
The given figure is regular heptagon,
length of each side = 10
Distance between Centre and edge = 10.4
Since we know that,
A seven-sided polygon with seven angles, seven vertices, and seven edges is known as a heptagon. They may have the same or different length dimensions. It is a closed figure, and a regular heptagon is one with all equal seven sides.
Now,
Perimeter of the given heptagon = 7x10
= 70
Area of heptagon = perimeter x 10.4/2
= 70 x 5.2
= 364
Hence,
Area = 364 square unit.
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Solving Polynomial Equations
25x²-9=0
Answer:
x = (3/5, -3/5)
choose a linear function for the line representing by the point slope equation y-5=3(x-2)
Answer:
y=3x-1
Step-by-step explanation:
To find the linear function you first need to put the equation into standard slope intercept form which is y=mx+b. m represents the slope and b represents where the line intercepts the y axis.
To figure it out you need to solve for y.
y-5=3(x-2)
Expand 3(x-2) to 3x-6.
y-5=3x-6
Isolate the y by adding 5 to both sides, giving you y=3x-1.
The slope is 3 and the Y intercept is -1.
Squares of side A are cut from each corner of a 8 in x 6 in rectangle so that its sides can be folded to make a box with no top.Represent a function in of a that can define the volume of the box.
A rectangle measuring 8 inches by 6 inches needs squares of side. A function in an in which the box's volume is 4a³-28a²+48a.
Given that,
A square measuring 8 inches by 6 inches needs squares of side. A cut out of each corner so that the sides can be folded into a box without a top.
How much area a box can occupy is determined by its volume. You need to know a box's length, width, and height in order to compute its volume. By multiplying the base area by the box's height, one can get the volume of a box.
The measurement of how much space an object may occupy is called volume, which is also known as capacity. Both regular and irregular objects may be present. Cubes, blocks, cylinders, pyramids, cones, and spheres are examples of common objects.
A: area of the base
L: Length of the base
W: Width of the base
V(a)= (8-2a) (6-2a) (a)
V(a)= (48-16a-12a+4a²) (a)
V(a)= (48-28a+4a²) (a)
V(a)= 48a-28a²+4a³
V(a)=4a³-28a²+48a
Therefore, a function in an in which the box's volume is 4a³-28a²+48a.
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If Savannah is throwing a party but only has 18 rooms in her house and each room can only fit x people. What expression should Savannah use to find out how many people she can invite?
Answer: 18x
___________________________________
the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be
We need 3 numbers that equal 10 when multiplied. 1, 5, and 2 are what come to mind for me.
1x5=5
5x2=10
---
hope it helps
What is the answer? Plz help me
Answer:
27y + 6r
Step-by-step explanation:
use the distributive property
3 * 9y = 27y
3 * 2r = 6r
27y + 6r
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
need help really please
Find the LCD of the rational expressions in the list.
Answer:
5x^3 -80x = 5x(x -4)(x +4)
Step-by-step explanation:
The denominator factors are ...
(x -4)(x +4)
x
5(4 -x) = -5(x -4)
The unique factors are 5, x, (x -4), (x +4). The LCD is the product of these:
5x(x^2 -16) = 5x^3 -80x
_____
Additional comment
When expressed over the LCD, the expressions are ...
5x^2/(5x^3 -80x), 20(x^2 -16)/(5x^3 -80x), -8x(x +4)/(5x^3 -80x)
What is the slope of the line on this graph?
Enter your answer in the box.
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{-6}{2 +1} \implies \cfrac{ -6 }{ 3 } \implies \text{\LARGE -2}\)
Answer:
The slope is 2
Step-by-step explanation:
To find the slope you divide the rise by the run. Rise being how many units it goes up or down) (run being how many units it goes to the side).
In this case the rise is -2 and the run is -1.
See in the picture, for every 2 units the line goes down, it moves one unit to the right.
so, -2/-1= 2
Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
Aunt Mary had only 2 quarts of milk. How many cups would this be?
A.
4 cups
B.
5 cups
C.
6 cups
D.
8 cups
Answer:
8 cups
Step-by-step explanation
8 cups. There are 2 cups in one pint and two pints in one quart. To Get 8 cups all you do is multiple the quartz by 2 to get the amount of pints, and multiply the pints by 2 to get the number of cups. Thus the equation would be 2 * 2 = 4 and 4 * 2 = 8.
Answer:
D. 8 cups
Step-by-step explanation:
1 Quart is 4 cups therefore you multiply
4 x 2 = 8
Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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Solve x+5>−3 and −2x−5≤1 and write the solution in interval notation. If there is no solution, type ∅.
Answer:
7/4≤x ≤-1
Step-by-step explanation:
Given the set of inequalities
−5x−3≥2 and 4x−2≥5
We are to write the solution in interval notation. We need to solve them individually first as shown;
For −5x−3≥2
add 3 to both sides
−5x−3+3≥2+3
-5x ≥5
divide both sides by -5 (note that dividing by a negative value will change the sense of the inequality sign)
-5x/-5 ≤5/-5
x ≤ -1
For the inequality 4x−2≥5;
add 2 to both sides
4x−2+2≥5+2
4x≥7
divide both sides by 4;
4x/4 ≥ 7/4
x≥7/4 or 7/4≤x
Combining 7/4≤x and x ≤ -1, the solution in interval notation is expressed as 7/4≤x ≤-1
plsssssss friedn help me due tommorow
Answer: PNM and MNP
Step-by-step explanation:
I'm going to assume that the marked angle is the one with the red triangle. We name angles using 3 letters, for example angle ABC. The middle letter should always be the vertex or tip of the angle, but the order of the first and third letter can be switched. For example, angle ABC is the same as angle CBA, but angle ABC and angle ACB are not the same angle.
In this case, our vertex is N, and our angle ends are P and M. As previously stated, the vertex must be in the middle, so our angle will be named _N_. However, P and M can be switched and it is still the same angle. This means that 2 ways to name the angle are angle PNM and angle MNP.
During a snowstorm, Kaylee tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. Snow fell at a constant rate of 3 inches per hour until another 6 inches had fallen. The storm then stopped for 5 hours and then started again at a constant rate of 2 inches per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Kaylee collected. Click twice to plot a segment. Click a segment to delete it. 0 Time Since Storm Began (Hours) Snow on the Ground (Inches) x y
The snowstorm resumes at a consistent rate of 2 inches per hour after 5 hours. Draw a second diagonal line with a slope of 2 as a result. Points 7 and 10 should be the beginning and finish of this line, respectively (14,18).
The resulting graph should include a horizontal line at y=10 from (0,4) to (2,10), a diagonal line with a slope of 2 from (7,10) to (0,4), and a horizontal line at y=3 from (0,4) to (0,10). (14,18).
Describe Graph?Graphs are visual representations of data that show how any two variables relate to one another. Without requiring a lot of words, they are frequently used to communicate complex and large amounts of data. A specific amount of data must be gathered through surveys or experiments before a graph may be created.
To create the graph of the snow on the ground over time, we can follow these steps:
Start with a point at (0,4) since at the beginning of the storm there were 4 inches of snow on the ground.
From this starting point, draw a diagonal line with a slope of 3, representing the constant rate of snowfall of 3 inches per hour. This line should have a y-intercept of 4 and an x-intercept of 2 (since 6 inches of snow fell in 2 hours).
After the 6 inches of snow have fallen, the snowstorm stops for 5 hours. During this time, the snow on the ground remains the same. So, draw a horizontal line at the y-value of 10 (since there are 10 inches of snow on the ground after the first 6 inches fall).
After 5 hours, the snowstorm starts again at a constant rate of 2 inches per hour. So, draw another diagonal line with a slope of 2. This line should start at the point (7,10) and end at the point (14,18).
The resulting graph should have a diagonal line with a slope of 3 from (0,4) to (2,10), a horizontal line at y=10 from (2,10) to (7,10), and a diagonal line with a slope of 2 from (7,10) to (14,18).
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Which expression is equivalent to 5.4 x 0.18?
A. (54 x 18) x (1/10 x 1/100)
B. (54 x 18) x (1/10 x 1/10)
C.(5.4 x 0.18) x ( 1/10 x 10)
D. (5.4 x 0.18) x ( 1/10 x 100)
Answer: (54 x 18) x (1/10 x 1/100)
Step-by-step explanation: Multiply (54 x 18) x (1/10 x 1/100) , Reduce The Numbers (972 x 1/100) , Calculate (243 x 1/250)= 243/250=Alternatnative Form: 0.972
FAST HELPPPPPPP
The point at which three or more lines intersect is the point of
A.equality.
B.concurrency.
C.parallelism.
D.tangency.
Answer:
B.concurrency.
Step-by-step explanation:
Three or more lines when met at a single point are said to be concurrent and the point of intersection is point of concurrency.
Help me pleasee 20 points ! If u can’t see zoom it please help
Answer:
1 hr = $60.20
2 hrs. = $120.40
3 hrs. = $180.40
4 hrs. = $240.80
5 hrs. = $301.00
Step-by-step explanation:
Multiply 60.20 by the number of hours to get your answers.
Ex: $60.20 (amount every hour) x 2 (number of hours) = $120.40
The best basketball player on a college team kept track of the number of baskets she made in her last eight games.
11 15 19 12 11 16 11 17
Calculate the mean, median, range, and midrange of the number of baskets she made in her last eight games.
The set is 11, 15, 19, 12, 11, 16, 11, 17
Mean = 14
Median = 13.5
Range = 8
Midrange = 15
What is a mean?
It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
The set:
11 15 19 12 11 16 11 17
The sum of the set:
= 11 + 15 + 19 + 12 +11 +16 + 11 + 17
= 112
Mean:
= 112 / 8
= 14
Median:
Arrange the set in ascending order.
11, 11, 11, 12, 15, 16, 17, 19
The Median is the mid-value of the set.
Median = (12 + 15) / 2 = 27/2 = 13.5
Range:
Highest value in the set = 19
Lowest value in the set = 11
Range = Highest value - Lowest value
= 19 - 11
= 8
Midrange:
= (Highest value + Lowest value) / 2
= (19 + 11) / 2
= 30/2
= 15
Thus,
If the set is 1, 15, 19, 12, 11, 16, 11, 17.
Mean = 14
Median = 13.5
Range = 8
Midrange = 15
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In 2022, a random sample of UGA students found that they slept an average of 7.43 hours per night. The margin of error for a 90% confidence interval was reported as 1.32 hours.
(a) What is the lower limit of this 90% confidence interval?
lower limit = (2 decimal places)
(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, approximately how many of these confidence intervals would contain the population mean?
(whole number)
Step-by-step explanation:
(a) The lower limit of the 90% confidence interval can be calculated using the formula:
lower limit = sample mean - margin of error
Plugging in the given values, we have:
lower limit = 7.43 - 1.32
lower limit = 6.11 (rounded to 2 decimal places)
Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.
(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.
Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:
500 * 0.9 = 450
So, approximately 450 of these confidence intervals would contain the population mean.
DETERMINE THE VALUE OF X
A. 80
B. 249
C.78
D.160
9514 1404 393
Answer:
A) 80°
Step-by-step explanation:
The sum of the angle measures in this hexagon is ...
(6 -2)×180° = 720°
Then the value of x (in degrees) can be found from ...
x + 2x = 720 -78 -134 -136 -132 = 240
x = 240/3 = 80
The value of x is 80 degrees.
Answer:
A. 80°
Step-by-step explanation:
As we know that the sum of measures of angles of hexagon is 720 ° .
78° + 134 ° + 136 ° + 132 ° + 2x + x = 720°
combine like terms
480° + 3 x = 720°
subtract 480° from both side
480 ° - 480° + 3 x = 720° - 480°
3 x = 240°
Divide each side by 3
3x / 3 = 240°/3
x = 80 °.
Hence, value of x = 80°
Verification :-
if x = 80°
then ,
2x = 2 × 80° = 160°
Now, Sum of all angles of hexagon is
78° + 134 ° + 136 ° + 132 ° + 160° + 80° = 720°
5. A triangle has a 60° angle, a 60° angle and a side 2 centimeters in length. a Select True or False for each statement about this type of triangle.
The triangle must be an equilateral triangle.
- More than one triangle can be made with these measures.
The triangle must contain an angle measuring 75º.
Answer:
Step-by-step explanation: