The correct option is c because the measure of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem.
What is the Angles of Intersecting Chords Theorem
The Angles of Intersecting Chords Theorem states that the angle formed by the intersection of the chords is equal to half the sum of the intercepted arcs, and conversely, that the measure of an intercepted arc is half the sum of the two angles that intercept it.
66° = (RE + ST)/2
66° = (RE + 70)/2
RE + 70 = 2 × 66 {cross multiplication}
RE + 70 = 132
RE = 132 -70 {collect like terms}
RE = 62°
Therefore, the measures of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem
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David, Ping, Mandy, and Alan are each studying one of the animals shown in the table for a science project.
Animal Study Project
Animal
Speed
Type
Habitat
Elephant
25 mph (running)
Mammal
Grasslands
Sailfish
68 mph (swimming)
Fish
Oceans
Giraffe
32 mph (running)
Mammal
Grasslands
Dolphin
30 mph (swimming)
Mammal
Oceans
Source: www.worldalmanacforkids.com
David is studying a mammal, but Ping is not. The animal that Mandy is studying can be found in the ocean. The animal that Alan is studying is slower than the animal that David is studying.
Which animal is David studying?
a.
Dolphin
b.
Elephant
c.
Sailfish
d.
Giraffe
Please select the best answer from the choices provided
A
B
C
D
David is studying Giraffe.
The correct option is (d)
Here, The table of the given information is:
Animal speed Type Habitat
Elephant 25 mph Mammal Grassland
Sailfish 68 mph Fish Oceans
Giraffe 32 mph Mammal Grassland
Dolphin 30 mph Mammal Oceans
And, The options are given :
David is studying a mammal, but Ping is not.
Therefore, Ping is studying Sailfish.
The animal that Mandy is studying can be found in the ocean.
Therefore, Mandy is studying Dolphin.
The animal that Alan is studying is slower than the animal that David is studying,
Therefore, Alan is studying Elephant which is slower than Giraffe.
Finally David is studying Giraffe.
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Please help and show work
Answer:
95234
Step-by-step explanation:
5602 x 17 = 95234
Identifying Relationships
between Lines
Planes X and Y intersect at a right angle. AB and CC lie in Which statements are true? Select three options.
plane X and do not intersect. S lies in plane Y.
OAB and are parallel.
706
R
B
G
PS
Y
and are parallel.
and are perpendicular.
Aand
O lies in plane X.
ORS lies in plane X.
must intersect.
The following statements are true:
Line AB and line CG are parallel.
Line CG and line RS are perpendicular.
Line segment CG lies in plane X.
Given information:
Planes X and Y intersect at a right angle.
Lies in plane X and do not intersect.
A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X.
Thus, both are parallel and options A is the correct option.
B) Line AB and Line RS are parallel: As the line, AB lies in the plane X and the line RS lies in the plane Y.
Thus both are perpendicular and not parallel. Option B is the incorrect option.
C) Line CG and Line RS are perpendiculars: As the line CG lies in the plane x and the line RS lies in the plane Y.
Thus both are perpendicular. Option C is the correct option.
D) Line AB and Line RS must intersect: line RS passes from the middle of the plane Y and line AB passes from the left of the plane X centre.
Thus they do not intersect each other. Option D is the incorrect option.
E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.
F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.
Hence, the following statements are true:
Line AB and line CG are parallel.
Line CG and line RS are perpendicular.
Line segment CG lies in plane X.
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The complete question is =
Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.
Vertical plane x intersects horizontal plane y. Line R S is horizontal on plane y. Lines A B and C G are vertical and beside each other on plane x. A right angle is indicated between the lines on the y plane and x plane. Lines A B and D G are parallel.
Which statements are true? Select three options.
Line A B and Line C G are parallel.
Line A B and Line R S are parallel.
Line C G and Line R S are perpendicular.
Line A B and Line R S must intersect.
Line segment C G lies in plane X.
Line segment R S lies in plane X.
A student must answer 3 out of 5 essay questions on a test. In how many different ways can the student select the questions?
The student can select the questions in 10 different ways.
We have,
The student can select any 3 out of the 5 essay questions.
The number of ways to do this can be calculated using the binomial coefficient formula:
C(5, 3) = 5! / (3! x 2!)
= (5 x 4 x 3) / (3 x 2 x 1)
= 10
Therefore, the student can select the questions in 10 different ways.
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Which of these descriptions best suits a pyramid?
A.
Pyramids have polygonal faces and a triangular base.
B.
Pyramids have triangular faces and a polygonal base.
C.
Pyramids have triangular faces and a circular base.
D.
Pyramids have polygonal faces and a polygonal base.
E.
Pyramids have curved faces and a polygonal base.
Answer:
The correct option is B. Pyramids have triangular faces and a polygonal base.
Answer:B. Pyramids have triangular faces and a polygonal base.
Step-by-step explanation:
A pyramid is a three-dimensional shape that has a polygonal base and triangular faces that meet at a single point called the apex. Here's how to identify which of the given descriptions best suits a pyramid:
A. Pyramids have polygonal faces and a triangular base.
This description is incorrect because pyramids have a polygonal base, not a triangular base.
B. Pyramids have triangular faces and a polygonal base.
This description is correct because it correctly identifies that pyramids have triangular faces and a polygonal (meaning multi-sided) base.
C. Pyramids have triangular faces and a circular base.
This description is incorrect because pyramids have a polygonal base, not a circular base.
D. Pyramids have polygonal faces and a polygonal base.
This description is partly correct because pyramids do have a polygonal base, but their faces are always triangular.
E. Pyramids have curved faces and a polygonal base.
This description is incorrect because pyramids have flat, triangular faces, not curved faces.
So, in summary, option B, "Pyramids have triangular faces and a polygonal base," is the description that best suits a pyramid.
Please help me Please please please
The area covered by the face of the building which has the shape of a parallelogram would be = 2,464m².
How to calculate the area of the face of the building?The parallelogram is defined as a type of quadrilateral that has two sides that are parallel which are opposite each other.
To calculate the area of one face of the building, the formula that needs to be used is the formula for the area of a parallelogram.
That is;
Area of parallelogram = base × height.
where;
height = 28 meters.
Base = 88 meters.
Therefore the area of the parallelogram = 28×88 = 2,464m²
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Determine the first 4 term of the sequence
tn=4(n - 1 )
Answer:
n1=0 n2=4 n3=8 n4=12
Step-by-step explanation:
tn=4(n-1) is the formula to determine the value of the nth term, so all you have to do is plug in what term you want for the variable and solve.
for example
n1=4(1-1)=0
n2=4(2-1)=4
n3=4(3-1)=8
n4=4(4-1)=12
Hope you understand and have a great day.
A party store recorded recent balloon sales. green 20 blue 17 pink 12 purple 19 orange 7 What is the experimental probability that the next balloon sold will be green? Write your answer as a fraction or whole number.
The experimental probability of the next balloon sold being green is 4/15.
Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.
According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:
20 + 17 + 12 + 19 + 7 = 75
Now we can use these numbers to calculate the experimental probability of a green balloon being sold:
Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold
Experimental probability of a green balloon being sold = 20 / 75
Experimental probability of a green balloon being sold = 4/15
This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.
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Answer:
4/15
Step-by-step explanation:
Scores on an exam are normally distributed with a population standard deviation of 5.6. A random sample
of 40 scores on the exam has a mean of 32.
Estimate the population mean with,
a) 80% Confidence.
b) 90% Confidence.
The estimated population mean with
80% confidence = [30.856, 33.135]
90% confidence = [30.543, 33.456]
Since, For a population with unknown mean and known standard deviation , a confidence interval for the population mean, based on a simple random sample of size n, is x + - z* × σ /√n , where z* is the upper (1-C)/2 critical value for the standard normal distribution.
Here, Population standard deviation = 5.6
Sample mean = 32
Sample size = 40
Given confidence level = 80%
at 80% confidence level = 1.28
Upper confidence interval = 33.135
Lower confidence interval = 30.865
Population mean lies between [30.856, 33.135] at 80% confidence level.
Given confidence level = 90%
at 90% confidence level = 1.65
Upper confidence interval =33.456
Lower confidence interval = 30.543
Population mean lies between [30.543, 33.456] at 90% confidence level.
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For the quadrant in which the following point is located, determine which of the functions are positive.
(8, -15)
The given point (8, -15) is located in the third quadrant of the coordinate plane.
In this quadrant, the x-coordinate is negative and the y-coordinate is also negative.
Let us consider some common functions to determine which of them are positive in the third quadrant:
A linear function is of the form f(x) = mx + b,
where m is the slope and b is the y-intercept. In the third quadrant, both the slope and y-intercept are negative.
Therefore, if m > 0, then f(x) is negative for all x-values in the third quadrant.
If m < 0, then f(x) is positive for all x-values in the third quadrant.
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decrease £110 by 10%m
Dont give me 60, its wrong, please help me please.
The volume of the solid is 94.375 ft³.
We have,
From the figure,
We can have three rectangles.
So,
Rectangle A area.
= 2 x 6
= 12 ft²
Rectangle B area.
= (9 - 2 - 3) x (6 - 2(1/2))
= (4 x 12 - 2.5)
= (48 - 2.5)
= 45.5 ft²
Rectangle C area.
= 3 x 6
= 18 ft²
Now,
Adding the area of the rectangles.
= 12 + 45.5 + 18
= 75.5 ft²
This is our base area.
Now,
The volume of the solid.
= 75.5 ft² x 1(1/4) ft
= 94.375 ft³
Thus,
The volume of the solid is 94.375 ft³.
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An experiment involving a new pain relief medication involves subjects being randomly assigned to one of two treatment groups. Subjects in one group will take a daily dose of the new medication, and subjects in the other group will take an existing common pain medication. All subjects will check in with a doctor every week to report their symptoms and any side-effects. What does it mean for this experiment to be double-blind?
In the given experiment, the researchers and the subjects would not know which medication the subjects are taking, which will help to ensure that the results are accurate and unbiased.
Double-blind means that neither the subjects nor the researchers conducting the experiment will know which group each subject is assigned to. This is important to reduce the chances of bias influencing the results. For example, the doctors may be more likely to report more positive results in the group taking the new medication if they know which group the subject is in. By remaining blind to the group assignment, the doctors can objectively report the results without bias.
Therefore, in the given experiment, the researchers and the subjects would not know which medication the subjects are taking, which will help to ensure that the results are accurate and unbiased.
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Quiz 8-1 Graphing Quadratic Equations answers
Answer:
Step-by-step explanation:
Quadratics Practice (Up to Quiz 8-1) Flashcards
its on quizlet<3
The pentagonal prism below has a base area of 36 units and a volume of 237.6 units . Find its height.
The height of the pentagonal prism is approximately 2.94 units
The formula for the volume of a pentagonal prism is;
V = (1/2) × base_area × height × (1 + √(5))
where base_area is the area of the base of the prism, height is the height of the prism, and sqrt(5) is the square root of 5.
In this problem, we are given that the base area is 36 units and the volume is 237.6 units. We can use this information to set up an equation and solve for the height;
237.6 = (1/2) × 36 × height × (1 + √(5))
Dividing both sides by (1/2) × 36 × (1 + √(5)), we get;
height = 237.6 / [18 × (1 + √(5))]
Simplifying this expression, we get;
height = 4.8 / (1 + √(5))
Rationalizing the denominator by multiplying both the numerator and denominator by (√(5) - 1), we get;
height = [4.8 × (√(5) - 1)] / [4]
Simplifying further, we get;
height = 1.2 × √(5) - 1)
height = 2.94 units
Therefore, the height is 2.94 units
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Samantha is draining her swimming pool. The function D (t) models the depth of the water, in inches, minutes after she began draining the pool. The table shown represents the function.
The depth of the water after 5 minutes is 29 inches.
Given that Samantha is draining her swimming pool.
The function D (t) models the depth of the water, in inches, minutes after she began draining the pool,
We need to find the depth of the water after 5 minutes,
So according to the table it is 29 inches.
Hence the depth of the water after 5 minutes is 29 inches.
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(4.1×10^12)×(3.5×10^−7)
can someone please explain this to me briefly, please.
Answer:
468ft²
Step-by-step explanation:
Triangles: 9x12=108 (sides)
TIP: Since there are two of these triangles, you don't need to divide by 2
Rectangles: 12x10=120 (bottom)
9x10=90 (Back)
15x10=150 (top)
108+120+90+150=468ft²
I really need help with this problem.
The table that correctly represents the ratio is
Students Adults
5 2
15 6
25 10
(option d).
Ratios are a way of comparing two quantities by expressing their relationship in a simplified form. They are commonly used in various real-life situations, such as determining the student to adult ratio on a field trip. In this case, the ratio of students to adults is given as 5 to 2, which means that for every 5 students, there are 2 adults present on the trip.
To represent this ratio in a table, we need to choose values that are in the same proportion as the given ratio. For example, if we have 10 students, we need to have 4 adults (since 5 to 2 is equivalent to 10 to 4). Similarly, if we have 15 students, we need to have 6 adults.
Looking at the given tables, we can see that only option D correctly represents the ratio of 5 to 2. In this table, for every 5 students, there are 2 adults, and the other values in the table are also in the same proportion as the ratio.
Therefore, option D is the correct table that represents the ratio of students to adults on the field trip.
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What is the volume of a cylinder, in cubic in, with a height of 16in and a base diameter of 20in? Round to the nearest tenths place.
Answer:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
The diameter of the base is 20in, so the radius is half of that, or 10in.
Plugging in the given values, we get:
V = π(10in)^2(16in)
V = 1600π cubic inches
V ≈ 5026.55 cubic inches (rounded to the nearest tenths place)
Therefore, the volume of the cylinder is approximately 5026.55 cubic inches.
Answer: The cylinder's volume is roughly 5026.55 cubic inches.
explanation: The volume of a cylinder is calculated using the formula V = r2h, where r is the radius of the base and h is the cylinder's height.
The radius of the base is half the diameter of the base, or 10in.
With the provided values, we get: V = (10in)2(16in).
1600 cubic inches = V
V 5026.55 cubic inches (rounded to the nearest tenths of a millimeter)
As a result, the cylinder's volume is roughly 5026.55 cubic inches.
PLS HELPP MARKING BRAINLIST
Answer:
0.46
Step-by-step explanation:
Pretty easy actually, you just have to take the degree of the red area and divide it by the total which is 360°
Probability = 165/360 = 0.458333 = 0.46 (nearest hundredth)
A paper bag contains three1 dollar bills to five dollar bill six $10 bills and one $20 bill in army select and keep one bill for the bag find Lenaerts expect to gain
Answer: $1.69
Step-by-step explanation:
To find Lenaert's expected gain, we need to calculate the average value of a single bill if he selects and keeps one bill from the bag.
First, let's calculate the total value of all the bills in the bag:
3 x $1 = $3
5 x $5 = $25
6 x $10 = $60
1 x $20 = $20
Total value = $3 + $25 + $60 + $20 = $108
Now, let's calculate the probability of selecting each type of bill:
Probability of selecting a $1 bill = 3/15 = 0.2
Probability of selecting a $5 bill = 5/15 = 0.33
Probability of selecting a $10 bill = 6/15 = 0.4
Probability of selecting a $20 bill = 1/15 = 0.067
Finally, we can calculate the expected value of a single bill with the formula:
Expected value = (probability of selecting a bill) x (value of the bill)
So Lenaert's expected gain if he selects and keeps one bill from the bag is:
(0.2 x $1) + (0.33 x $5) + (0.4 x $10) + (0.067 x $20) = $1.69
Therefore, Lenaert can expect to gain an average of $1.69 if he selects and keeps one bill from the bag.
The base of a hexagonal pyramid has an area of 92 square inches. The height of the pyramid is 6 inches. Find the volume of the pyramid.
The volume of the hexagonal pyramid is 508.93 cubic inches.
The formula for the volume of a pyramid is:
Volume = (1/3) x base area x height
In this case, we are given that the base of the pyramid is a regular hexagon with an area of 92 square inches, and the height is 6 inches.
To find the volume of the pyramid, we need to first find the area of one of the triangles that make up the hexagonal base. Each of the six triangles in the base is an equilateral triangle, so we can use the formula for the area of an equilateral triangle to find the area of one of the triangles:
Area of an equilateral triangle = ([tex]\sqrt{3}[/tex]/4) x [tex](side)^{2}[/tex]
Since the base of the pyramid is a regular hexagon, all six sides are equal. Let's call the length of one side "s". Then we have:
Area of one triangle = ([tex]\sqrt{3}[/tex]/4) x [tex]s^{2}[/tex]
To find the total area of the hexagonal base, we can multiply the area of one triangle by the number of triangles in the base:
Area of hexagonal base = 6 x([tex]\sqrt{3}[/tex]/4) x [tex]s^{2}[/tex]
We are given that the area of the hexagonal base is 92 square inches, so we can solve for "s":
6 x ([tex]\sqrt{3}[/tex]/4) x [tex]s^{2}[/tex] = 92
([tex]\sqrt{3}[/tex]/4) x [tex]s^{2}[/tex] = 92/6
[tex]\sqrt{3}[/tex] x [tex]s^{2}[/tex] = 46
[tex]s^{2}[/tex] = 46/[tex]\sqrt{3}[/tex]
s ≈ 6.21 inches
Now that we know the length of one side of the hexagonal base, we can find the area of the base by using the formula for the area of a regular hexagon:
Area of hexagonal base = (3[tex]\sqrt{3}[/tex] /2) x [tex]s^{2}[/tex]
Area of hexagonal base ≈ 254.47 square inches
Finally, we can use the formula for the volume of a pyramid to find the volume of the hexagonal pyramid:
Volume = (1/3) x base area x height
Volume = (1/3) x 254.47 x 6
Volume ≈ 508.93 cubic inches
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Urgentttt please help due in 1 hour
1)Find how many regular pentagons will form a closed ring surrounding a regular polygon.
There are 10 pentagons to form close ring.
In the pentagon
The number of sides = 5
Let interior angles of pentagon = q degree
Therefore,
p = (5-2)x180/5 = 108
q = 360 -2p = 360- 2x108 = 144
Now, q = (n-2)x180/n
⇒ 144 = (n-2)x180/n
⇒ -36n = -360
⇒ n = 10
Hence, n = 10
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20 pts!!
Need help asap
The equation of the line which passes through the points (-4,-5) and (6,4) is [tex]y = \frac{9}{10}x - \frac{7}{5}[/tex].
What is the equation of the line?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
The line passes through the points (-4,-5) and (6,4).
First, detremine the slope of the line using the slope formula:
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 4 - (-5) ) / ( 6 - (-4) )
m = ( 4 + 5 ) / ( 6 + 4 )
m = ( 9 ) / ( 10 )
m = 9/10
Next, using the point-slope form, plug in one of the given points and slope m = 9/10 to find the equation of the line.
Using the point (-4,-5):
y - y₁ = m(x - x₁)
[tex]y - (-5) = \frac{9}{10}( x - (-4))\\ \\ y + 5 = \frac{9}{10}( x + 4)\\\\ y + 5 = \frac{9}{10}x + \frac{18}{5}\\\\ y = \frac{9}{10}x + \frac{18}{5} - 5\\ \\ y = \frac{9}{10}x - \frac{7}{5}[/tex]
Therefore, the equation of line is [tex]y = \frac{9}{10}x - \frac{7}{5}[/tex].
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Employee records number prescription filled at a pharmacy each hour during an eight hour. The table shows the results. The employee spilled coffee on the table, making the entry for our two unreadable. The employee knows that the mean for the data in the table is 21 how many prescriptions were filter an hour 2.
The number of prescriptions were filtered in second hour that is the value of missing data is 13.
Hence, the correct option is (A).
We know that the mean of a data set is given by,
Mean = Total value of observations/Number of observations.
Here numbers of prescriptions in each hour of 8 hours be 18, x, 22, 25, 16, 24, 22, 28.
So the total value of observations = 18 + x + 22 + 25 + 16 + 24 + 22 + 28 = 155 + x
Number of observations here the number of hours = 8.
So the mean = (155 + x)/8
and given that mean is 21.
According to data we can say that,
(155 + x)/8 = 21
155 + x = 21*8 = 168
x = 168 - 155 = 13
So the number of prescriptions were filtered in second hour is 13.
So the correct option is (A).
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The question is incomplete. Complete question will be -
Math Games...
A cat adoption facility takes in an average of 5 cats per day. The facility has to keep their cat occupancy below 200. Currently, the
facility has 165 cats.
If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that incluc
the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.
OA. x < 30
OB. x<35
OC. x<7
OD.x<40
6x+146<200 will represent the largest number of days this facility can continue to take in cats without exceeding its occupancy.
Here, we have,
Given,
Cat occupancy = below 200
Facility has cats already = 146
Cats per day = 6
Let,
x be the number of days.
Cats per day*number of days + Cats already in facility < Cat occupancy
6*x+146<200
6x+146<200 will represent the largest number of days this facility can continue to take in cats without exceeding its occupancy.
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complete question:
a cat adoption facility takes in an average of 6 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 146 cats. If none of their cats get adopted, how many more days, x, can the facility continue to take cats? select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit
2. Convert the following into a single log statement from the many log statements to 1.
2 Log w + log 7 - 3 log x - 8 log y
NOTE: You must show this in at least two steps.
1st line should be to convert the 2 the 3 and the 8 only.
2nd line can be the final answer.
The many log statement 2log(w) + log(7) - 3log(x) - 8log(y) converted to a single log statement is [tex]log(\frac{7w^2}{x^3y^8})[/tex].
How to convert many log statements to a single log statement?Given the logarithm expression in the question:
2log(w) + log(7) - 3log(x) - 8log(y)
To convert the logarithm into a single logarithm.
First, simplify using the logarithmic rule:
nlog(a) = log(aⁿ)
Hence:
2log(w) + log(7) - 3log(x) - 8log(y)
log( w² ) + log(7) - log( x³ ) - log( y⁸ )
Next, using the product property of logarithm.
log(a) + log(b) = log(ab)
log( 7w²) - log( x³ ) - log( y⁸ )
Using the quotient property of logarithm.
log(a) - log(b) = log(a/b)
log( 7w²/x³ ) - log( y⁸ )
Still using the quotient property of logarithm.
[tex]log( \frac{\frac{7w^2}{x^3} }{y^8} ) \\ \\Simplify\\\\log( \frac{7w^2}{x^3}*\frac{1}{y^8})\\ \\ log(\frac{7w^2}{x^3y^8})[/tex]
Therefore, the single log is [tex]log(\frac{7w^2}{x^3y^8})[/tex].
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Simplify 13x^-5y^0/5^-3z^-10 Write your answer using only positive exponents.
The simplified expression with only positive exponents is 2197x⁻⁵/z¹⁰.
Now, let's look at the expression you provided: 13x⁻⁵y⁰/5⁻³z⁻¹⁰. We want to simplify this expression by using only positive exponents.
To do this, we can use the following rules:
A negative exponent means we take the reciprocal of the base raised to the positive exponent.
A zero exponent means the base is equal to 1. For example, y⁰ is the same as 1.
When dividing two terms with the same base, we can subtract the exponents.
Now, let's apply these rules to simplify the expression:
13x⁻⁵y⁰/5⁻³z⁻¹⁰
= 13x⁻⁵/5⁻³z⁻¹⁰
= 13(5³/z¹⁰)x⁻⁵
= 2197x⁻⁵/z¹⁰
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Help me with this please
The value of x is 18.9( 1 decimal place).
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
The inverse of sin , cos and tan are cosec, sec and cot respectively.
Here, opposite side to the angle is x and the adjascent is 17, therefore to calculate the value of x, we use tan function.
tan 48 = x/17
x = tan48 × 17
x = 1.111 × 17
x = 18.9( 1 d.p)
therefore the value of x is 18.9
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