Answer:
a
Step-by-step explanation:
tan^2x-1=0
tan^2x=1
tan x = +1 or -1
x= tan^-1 (1) or x= tan^-1 (1)
x= pi/4 or x= -pi/4
A function assigns the value of each element of one set to the other specific element of another set. The correct option is A.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
The solution for the given trigonometric function can be written as,
tan²x - 1 = 0
tan²x = 1
tan x = √1
tan x = 1
x = tan⁻¹ (1)
x = (π/4), (nπ/4)
Hence, the correct option is A.
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If m∠VWA=120∘ and m∠BWC=(32x−27)∘, what is the value of x?
Answer:
Value of x = 4.6 (Approx)
Step-by-step explanation:
Note:
The statement in given question is missing that both angles are congruent.
Given:
m∠VWA = 120°
m∠BWC = (32 x - 27)°
Find:
Value of x
Computation:
We know that,
⇒ m∠VWA = m∠BWC
⇒ 120 = 32x - 27
⇒ 120 + 27 = 32x
⇒ 147 = 32x
⇒ x = 147 / 32
⇒ x = 4.59375
x = 4.6 (Approx)
Which of the following ordered pairs is a solution of the given system of
linear equations?
17x + 3y = 15
2x = y + 8
Approximate the stationary matrix S for the transition matrix P by computing powers of the transition matrix P. Pequalsleft bracket Start 2 By 2 Matrix 1st Row 1st Column 0.38 2nd Column 0.62 2nd Row 1st Column 0.24 2nd Column 0.76 EndMatrix right bracket
Answer:
The stationary matrix is:
S = [0.2791, 0.7209]
Step-by-step explanation:
The transition matrix, P is:
[tex]P=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]
The stationary matrix S for the transition matrix P would be obtained by computing k powers of P until all the two rows of P are identical.
Compute P² as follows:
[tex]P^{2}=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]
[tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right][/tex]
Compute P³ as follows:
[tex]P^{3}=P^{2}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right][/tex]
Compute P⁴ as follows:
[tex]P^{4}=P^{3}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right][/tex]
Compute P⁵ as follows:
[tex]P^{5}=P^{4}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2791&0.7209\\0.2791&0.7209\end{array}\right][/tex]
For k = 5, we get both the rows identical.
The stationary matrix is:
S = [0.2791, 0.7209]
A pile of 55 coins consisting of nickels and dimes is worth $3.90 . Find the number of each.
Answer:
Answer:
Answer is: 32 nickels and 23 dimes.
x - number of nickels .
y -number of dimes.
two equations in two unknowns:
1) x + y = 55
2) 0,05x + 0,1y = 3,90.
nickel is a five-cent coin.
dime is a ten-cent coin.
solve equation 1) for x and substitute for x in equation 2)
x = 55 - y
0,05·(55 - y) + 0,1y = 3,902,75 - 0,05y + 0,1y = 3,90
0,05y = 1,15
y = 23.
x = 55 - 23 = 32.
In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.
Answer:
a) Which item’s price was reduced by more, and by how many dollars more was it reduced?
The DVD player's price was reduced more by $3.82 than the stereo tuner's price.
b) Round all dollar values to the nearest cent.
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
The DVD player's price was reduced by 382 cents more than the stereo tuner's price
Step-by-step explanation:
Lets day the original price of the DVD player was $100
We are told the price was marked down to 36%
36% of $100 = $36
$100 - $36 = $64
We are told the DVD cost $41.60 after the markdown.
Original cost of DVD =
$41.60/$64 × 100 = $65
Lets the original price of the Stereo player was $100
We are told the price was marked down to 22%
22% of $100 = $22
$100 - $22 = $78
We are told the DVD cost $69.42 after the markdown.
Original cost of Stereo =
$69.42/$78 × 100 = $89
DVD = $65 - $41.60 = $23.40 less
Stereo = $89 - 69.42 = $19.58 less
Difference between the DVD and the Stereo is
$23.40 - $19.58 = $3.82
Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
Answer:
The answer is A on edg 2020
Step-by-step explanation:
A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. What is the volume of the pyramid?
This question is incomplete. Find attached to this answer the required diagram.
Answer:
16√3 cm³
Step-by-step explanation:
Volume of a pyramid = 1/3 × Base area × Height
The base area is given as 12√3 cm²
But the height is not given
From the attached diagram an angle was given
Using Trigonometric function of Tangent
tan = Opposite/Adjacent
Opposite = Height of the pyramid
Adjacent = base length of the pyramid = 4√3
Hence,
tan 30° = opposite/4√3
Cross multiply
Opposite = tan 30° × 4√3
Opposite = Height of the pyramid = 4 cm
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 12√3 × 4
= 16√3 cm³
Answer:
B. 16√3 cm³
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
pls help,look at picture attached (giving 10 points)
Answer:
just cuase u answered mine x=8
Step-by-step explanation:
good luck
The graphs below have the same shape.What is the equation of the red graph ?
Answer:
B. G(x) = x³ - 5
Step-by-step explanation:
The graphs below are the same shape. They share the same formula but different y-intercepts.
F(x) = x³ has a y-intercept of 0.
F(x) = x³ + 0
G(x) has a y-intercept of -5.
G(x) = x³ - 5
Answer:
x^3 - 5
Step-by-step explanation:
What is the area of the shaded sector, given circle Q has a diameter of 10?
Answer:
25 pie square units
Step-by-step explanation:
it is because as they showed 90 degree as the on side the other sides=90*3 so we can easily find it
The area of the shaded region will be 18 ³/₄ π square units. Then the correct option is A.
What is the area of the sector?Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be
Arc = (θ/2π) πr²
The central angle of the shaded region is (3/2)π radian. And the diameter of the sector is 10 units. Then the radius of the sector is given as,
r = d / 2
r = 10 / 2
r = 5 units
The area of the shaded region is given as,
A = ((3/2)π/2π) π (5)²
A = 25 x (3/4)π
A = (75/4)π
A = 18 ³/₄ π square units
The area of the shaded region will be 18 ³/₄ π square units. Then the correct option is A.
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The system of equations is solved using the linear combination method. StartLayout 1st row 1st column one-half x + 4 y = 8 right-arrow 2nd column negative 2 (one-half x + 4 y = 8) right-arrow 3rd column negative x minus 8 y = negative 16 2nd row 1st column 3 x + 24 y = 12 right-arrow 2nd column one-third (3 x + 24 y = 12) right arrow x + 8 y = 4 with Bar Underscript 3rd row 3rd column 0 = negative 12 EndLayout What does 0 = −12 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines. There are no solutions to the system because the equations represent the same line. There are infinitely many solutions to the system because the equations represent parallel lines. There are infinitely many solutions to the system because the equations represent the same line.
Answer:
A
Step-by-step explanation:
Since combining the equations will result to 0 = -12, it means that there are: A. no solutions to the system because the linear equations represent parallel lines.
Equations of Parallel LinesA linear equation, where m is the slope and b is the y-intercept, can be represented as y = mx + b.The slope of two lines that are parallel to each other is always the same.Solution of two linear equations is the point where the line of the two linear equations intersect.Therefore, since the system of linear equations given have the same slope, the lines of both equations are parallel and cannot intersect.
Thus, since combining the equations will result to 0 = -12, it means that there are: A. no solutions to the system because the linear equations represent parallel lines.
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A box plot is shown below: *check file attached* What is the median and Q1 of the data set represented on the plot? A. Median = 30; Q1 = 20 B. Median = 33; Q1 = 20 C. Median = 30; Q1 = 25 D. Median = 33; Q1 = 25
Hey there! I'm happy to help!
A box and whisker plot is a super useful tool for finding these kinds of data!
The ends of the whiskers represent the maximum and minimum point in the data set. With this plot, we can immediately see that the maximum is 44 and the minimum is 20.
Then, we have a box. The edges of the box represent the 1st and 3rd quartiles. The 1st quartile is the median or middle of the first half of the data set and the 3rd quartile is the median of the second half. We see that the 1st quartile is 25 because the left edge of the box aligns with 25. The 3rd quartile is 39 by looking at the plot.
The median is the middle number of the data set. The median is represented by the line that splits the box. We see that the median is 33 by looking at the plot.
So, by interpreting the box and whisker plot, we see that the answer is D. Median=33; Q1=25.
Now you can interpret box and whisker plots! Have a wonderful day! :D
Which option or options is correct?
All of them are true.
A: Rule.
B: There exist such functions f and g that satisfy the equality.
C: According to (A) this is acceptable.
D: Rule.
Hope this helps.
Answer:
D part
Step-by-step explanation:
Please help and show work ..... need fast ... college algebra The half-life for thorium-227 is 18.72 days. The amount A (in grams) of thorium-227 after t days for a 10-gram sample is given by A(t)=10⋅0.5^t/18.72 How long will it take before 1 grams of thorium-227 is left in the sample? Round your answer to the hundredths place. days
Answer:
62.17 days
Step-by-step explanation:
The computation of the number of days is shown below:
Given that
A(t)=10 × 0.5^(t ÷ 18.72)
1 = 10 × 0.5 ^ (t ÷ 18.72)
0.1 = 0.5 ^ (t ÷ 18.72)
Now consider the log in both sides
ln(0.1) = ln(0.5)^ (t ÷ 18.72)
ln(0.1) ÷ ln(0.5) = (t ÷ 18.72)
3.321928095 = (t ÷ 18.72)
So, t = 62.17 days
With the help of log, we can easily compute it
Please help! If P(A)=0.2 and P(A and B)=0.12, and P(A or B)=0.68, what is P(B)?
0.8
0.08
0.6
0.06
Answer:
P(B) = 0.6
Step-by-step explanation:
P(A and B) = P(A) * P(B)
0.12 = 0.2 * P(B)
P(B) = 0.6
P(A or B) = P(A) + P(B) - P(A and B)
0.68 = 0.2 + P(B) - (0.12)
P(B) = 0.6
What is the name of the map maker who, according to some, gave Venezuela its name? Salvador Dali Christopher Colombus Amerigo Vespucci Leonardo Da Vinci
The answer is C. Amerigo Vespucci
Explanation:
Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.
Answer:
c c a d c
Step-by-step explanation:
answers to the quiz edge got 100% source trust bro
If 40% of the total population of a particular town of 2500 are HIV positive. How many people are HIV negative.
Answer:
1500 people
Step-by-step explanation:
Since 40% are HIV positive (that's a lot of people), 60% will be HIV negative. All you have to do is find 60% of 2500.
60% of 2500 = 0.6 * 2500 = 6 * 250 = 1500
Hope this helps!
**BRAINLIEST IF ANSWERED**
Which equation represents a circle that has a diameter of 10 units and a
center at (4,-1)?
(x+4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=25
(x+4)^2+(y-1)^2=10
Answer:
third option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus
(x - 4)² + (y - (- 1))² = 5², that is
(x - 4)² + (y + 1)² = 25 ← equation of circle
HELP ASAP !!!!! pleaseeee
A new square has dimensions that are the size of the original square. What statements are true? Select all that
10
apply.
The dimensions of the new square are 10 times the dimensions of the original square.
1
The perimeter of the new square is
10
times the perimeter of the original square.
The perimeter of the new square is equal to the perimeter of the original square.
The perimeter of the new square is 10 times the perimeter of the original square.
1
The area of the new square is
times the area of the original square.
100
The area of the new square is 100 times the area of the original square.
Answer: The new square is the same since it hasn't changed it's size.
Step-by-step explanation: cause it is
Answer:
is B and E
Step-by-step explanation:
I did it on edge
The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of money originally invested. f(x) = 5,000(1 + 0.04)x
Answer:
The amount of money originally invested which is the principal P = 5,000
Step-by-step explanation:
Using the compound interest formula, the return on investment can be represented on the interest function as;
f(x) = P(1+r)^x
Where
P is the principal which is the initial investment.
r = rate Proportion
x = time (number of years)
Comparing to the given function;
f(x) = 5,000(1 + 0.04)^x
We can see that;
Principal P = 5,000
Rate r = 0.04
time = x
The amount of money originally invested which is the principal P = 5,000
Please answer it now in two minutes
Answer:
Angle QUR = Angle RQS = 34 degrees
Step-by-step explanation:
Angle QUR is equal to Angle RQS, which in turn is 34 degrees.
What numbers multiplied by themselves give the following: 4 36 64 121
Answer:
2, 6, 8, 11
Step-by-step explanation:
A number multiplied by itself gives a perfect square.
4 = 2²
36 = 6²
64 = 8²
121 = 11²
The numbers multiplied by itself that will give 4, 36, 64, 121 are 2, 6, 8 and 11 respectively
These are perfect squares number, such as
4, 9, 16, 25, 36 etc
4 = 2 × 2 = 2²
36 = 6 × 6 = 6²
64 = 8 × 8 = 8²
121 = 11 × 11 = 11²
other examples of perfect squares are
1 × 1 = 1 = 1²
3 × 3 = 9 = 3²
4 × 4 = 16 = 4²
5 × 5 = 25 = 5²
7 × 7 = 49 = 7²
9 × 9 = 81 = 9²
10 × 10 = 100 = 10²
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Evaluate 4x² + 2xy for x = 5 and y = 2.
Hey there! :)
Answer:
120.
Step-by-step explanation:
Substitute in 5 for x and 2 for y into the expression 4x² + 2xy:
4(5)² + 2(5)(2) =
4(25) + 2(10) =
100 + 20 =
120.
The angles in a triangle are
in the ratio 1:5:6. Work out the
angles in degrees.
Answer:
The angles are 15,75,90
Step-by-step explanation:
Multiply the ratio by x
1x:5x: 6x
The sum of the angles of a triangle are 180
1x+5x+6x = 180
Combine like terms
12x = 180
Divide by 12
12x/12 = 180/12
x =15
Multiply by 15
1*15 : 5*15: 6*15
15: 75:90
12: 60: 72
What is the third quartile of this data set?
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
A. 24
B. 44
C. 29
O D. 39
SU
Answer:
D
Step-by-step explanation:
First find the median of the data set
The median is the middle value of the data in ascending order
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
↑ median = 29
The third quartile is the middle value of the data to the right of the median
35, 37, 39, 42, 44
↑ third quartile
The third quartile of the data set is 39
I need help please. Which graph shows y=⌊x⌋+2?
Answer: Top right graph.
Step-by-step explanation:
The function ⌊x⌋ rounds the value x to the lower whole number.
for example:
⌊1.5⌋ = 1
⌊1.923⌋ = 1
⌊2.0⌋ = 2
then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.
if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.
You can check some points if you like:
f(0) = ⌊0⌋ + 2 = 2
f(0.5) = ⌊0.5⌋ + 2 = 2
f(1) = ⌊1⌋ + 2 = 3
So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.
Answer:
c
Step-by-step explanation:
because Ax+Bx=Cx^2
What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.
Answer:
2
Step-by-step explanation:
1/2+1/3+1/4 - 0.9
0.9 = 9/10
So, 1/2+1/3+1/4+9/10
The LCD is 60:
30/60+20/60+15/60+54/60 = 120/60
120/60 = 2
PLEASE MARK ME BRAINLIEST!
Answer:
2
Step-by-step explanation:
An object falls 18ft in 2 seconds. Knowing the distance varies directly with the square of the time of the fall how long does it take an object to fall 79 feet
Answer:
t=4.19 seconds
Step-by-step explanation:
Distance varies directly with the square of the time of the fall
It means,
D=kt^2
18ft in 2 seconds
D=kt^2
18=k*2^2
18=4k
k=18/4
=9/2
k=9/2
D=kt^2
D=79feet
79=9/2t^2
t^2=79÷9/2
t^2=79×2/9
=158/9
t=√158/√9
t=12.57/3
t=4.19 seconds
What statements is equal to the expression p\11
Answer: "p divided by 11" or "p over 11" or "p by 11".
Step-by-step explanation:
We use mathematical statements to express any algebraic expression.
For example: We write 2x as "2 is multiplied by x " or " product of 2 and x".
p+q as "sum of p and q" or "p is added to q"
The given expression is : [tex]\dfrac{p}{11}[/tex]
In mathematical statements, it can be written as "p divided by 11" or "p over 11" or "p by 11".
Hence, the statements are equal to the expression [tex]\dfrac{p}{11}[/tex] are "p divided by 11" or "p over 11" or "p by 11".
On a block of ten houses, k are not insured. a tornado randomly damages three houses on the block. the probability that none of the damaged houses are insured is 1/120. calculate the probability that at most one of the damaged houses is insured.
Answer:
[tex]P=0.1833[/tex]
Step-by-step explanation:
The number of ways or combinations in which we can choose x elements from a group of n is calculated as:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
So, the probability that none of the damaged houses are insured can be calculated as:
[tex]\frac{kC3}{10C3}=\frac{kC3}{120}[/tex]
Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.
The probability that none of the damaged houses are insured is 1/120, so:
[tex]\frac{kC3}{120}=\frac{1}{120}\\ kC3=1[/tex]
kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.
Then, the probability that one of the damaged houses is insured can be calculated as:
[tex]\frac{3C2*7C1}{10C3}=0.175[/tex]
Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.
Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:
[tex]P=\frac{1}{120}+0.175=0.1833[/tex]
Someone help please!!!!! :(
(Edit: The answer was 126. )
Answer:
a
Step-by-step explanation: