Answer: f-1(x) = 1/3x.
Step-by-step explanation:
The inverse of y = 3x is f-1(x) = 1/3x.
To find the inverse, interchange the variables and solve for y
f ^− 1 (x) = In(x)/In(3)
The product of 10 and a number p
Answer:
10p, assuming p is a variable
Points J and K lie in plane
How many lines can be drawn through points J and K?
0
1
2
3
(B) 1 line can be drawn through points J and K.
What are lines?Line, the fundamental element of Euclidean geometry. A line, according to Euclid, is an interval between two points that can be extended in either direction indefinitely. Such an extension in both directions is now considered a line, whereas Euclid's original definition is considered a line segment.So,
It is clear from the image that there is a plane H on which two pints J and K are located.According to one of Euclid's axioms, "Through any given two points X and Y, only one and only one line can be drawn."As a result, according to Euclid's geometry, only one line can be drawn through the given points J and K in plane H.Therefore, (B) 1 line can be drawn through points J and K.
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The correct question is given below;
Points J and K lie in a plane. How many lines can be drawn through points J and K?
a. 0
b. 1
c. 2
d. 3
Looking at the box-an-whisker plot for the package weight data below, what
does the position of the median line in the box and the length of the whiskers
tell you about the shape of the distribution?
Ground Beef Package Weight Data (in pounds)
0.75
0.83
0.87
0.89
0.89
0.89
0.92
0.93
0.96
0.96
0.97
0.98
0.99
1.06
1.08
1.08
1.15
1.16
1.16
1.19
1.19
1.2
1.21
1.24
1.28
1.38
1.41
OA. The data is uniformly distributed.
B. The distribution is strongly skewed to the right.
OC. The position of the median and length of whiskers tell you little
about the shape of the distribution.
D. The data is roughly symmetrical and mound-shaped (normally
distributed).
O E. The distribution is strongly skewed to the left.
The box-plot for the package shows that median is almost at center and the data is roughly symmetrical and mound -shaped (normally-distributed ) .
A box plot, ajso referred to as a box and whisker plot, is a type of chart that is widely used in data analysis in descriptive statistics.
Box plots use the data's quartiles (or percentiles) and averages to visually depict the distribution of numerical data and skewness.Box plots display a data set's minimum score, first (lower) quartile, median, third (upper), and maximum scores in a five-number summary.The median is the average value from a set of data and is shown by the line that divides the box into two parts.Almost half the scores are greater than or equal to this value and half are less than the median value.Now we know that from the box plot that the median is almost at the Centre , and both the third quartile and first quartiles are almost at equal distance from median, thus we can say that it is almost symmetric and normally distributed.
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PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON! WILL GET 100 POINTS FOR HELPING CORRECTLY!
FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!
Answer:
20,200
Step-by-step explanation:
Let the number of lines in each cube be a term in the sequence:
4, 12, 24, 40, ...
Work out the differences between the terms until the differences are the same:
[tex]4 \underset{+8}{\longrightarrow} 12 \underset{+12}{\longrightarrow} 24 \underset{+16}{\longrightarrow} 40[/tex]
[tex]8 \underset{+4}{\longrightarrow} 12 \underset{+4}{\longrightarrow} 16[/tex]
As the second differences are the same, the sequence is quadratic and will contain an n² term. The coefficient of n² is always half of the second difference. Therefore, the coefficient of n² is 2.
To work out the nth term of the sequence, write out the numbers in the sequence 2n² and compare this sequence with the given sequence.
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5}2n^2 & 2 & 8 & 18 & 32\\\cline{1-5}\sf operation & +2&+4&+6&+8 \\\cline{1-5}\sf sequence & 4 & 12 & 24 & 40\\\cline{1-5}\end{array}[/tex]
From inspection of the table, we can see that the "operation" is to add 2n to 2n².
Therefore, the nth term is:
[tex]a_n=2n^2+2n[/tex]
To find the number of lines in the 100th cube, substitute n = 100 into the equation for the nth term:
[tex]\begin{aligned}n=100 \implies a_{100} & = 2(100)^2+2(100)\\& = 2(10000)+200)\\& = 20000+200\\& = 20200\end{aligned}[/tex]
Therefore, the 100th cube has 20,200 lines.
LESSON 7.6 THERE ARE 4 QUESTIONS HERE PLEASE ANSWER ALL FOUR TO GET THE POINTS
Find the measure of the indicated angle to the nearest degree.
By using a trigonometric relation, we can see that the missing angle is a = 41.1°
How to find the missing angle on the right triangle?In the image we have a right triangle where we know the measures of the 3 sides and we want to find an interior angle.
These measures are:
Hypotenuse: 73 units.Opposite cathetus: 48 units.Adjacent cathetus: 55 units.Now we can use the trigonometric relation:
Cos(a) = (adjacent cathetus)/(hypotenuse)
Where a is the angle we want to get, so we can rewrite:
Cos(a) = 55/73
Now, if we apply the inverse cosine function in both sides, we get:
Acos(Cos(a)) = Acos( 55/73)
a = Acos(55/73) = 41.1°
By using a trigonometric relation, we can see that the missing angle on the right triangle is a = 41.1°
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4. Edwin, his brother, and his dad decide to have a 1 week reading competition.
Edwin reads ten times more pages that week than his little brother, but ten times
less than his father. If Edwin read 50 pages, how many total pages did he, his
brother, and his father read combined?
The total pages read by Edwin's little brother is 5 and his father is 55 pages in reading competition.
What is defined as the ten times the number?When a number is multiplied by ten times its value, the final result is obtained by multiplying the number by ten and adding the result calculated to the original number.Example: 5 is the number.
If the number 5 is multiplied by ten, the process looks like this.
5 × 10 = 50
50 + 5 = 55
55 as a final result
For, the given question,
Edwin read 50 pages in a week in reading competition.
Edwin reads 10 times more than his brother.
Thus, if the pages read by his little brother is x.
Then,
10 x = 50
x = 5
Thus, pages read by his little brother is 5 pages.
Now, the pages read Edwin is 10 times more than his father.
his father = 50 + 5 = 55
Thus, the pages read by his father is 55 pages.
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165см.+567см.-203см.
Answer:
529 cm
Step-by-step explanation:
Given problem is,
→ 165cm + 567cm - 203cm
Let's solve the problem,
→ (165 + 567) - 203
→ 732 - 203
→ 529 cm
Hence, solution is 529 cm.
Explanation/Answer:
Use long addition and long subtraction to solve
→ [tex]165 + 567\\5 + 7 = [1]2\\6 + 6 = 1+2 = 3\\1 + 5 = 6 + 1 = 7\\700 + 30 + 2 = \bold{732}[/tex]
→ [tex]732 - 203\\3 - 12 = 9(Because~of~borrowing)\\2 - 0 = 2(Borrowed~1~for~3-2)\\7 - 2 = 5\\500 + 20 + 9 = \bold{529}[/tex]
Thus,
your answer is 529 cm.
4x + 8 = 10 ^ 1 the solution to the equation is x
Answer:
x=1/2
Step-by-step explanation:
Hope this helps
Sorry if I'm wrong
1 foot is 12 inches. 5 cm is approximately 2 inches. Work out an approximation for the number of cm in 4 feet.
4 Feet = 121.92 cm.
Step-by-step explanation:The formula is to multiply the length value by 30.48.
Feet (ft) Centimeters (cm)
1 ft 30.48 cm
2 ft 60.96 cm
3 ft 91.44 cm
4 ft 121.92 cm
What is the difference between Congruent and Non-Congruent?
what could be the volume of a rectangle box? A. 24 square meters. B 24 meters C. 24 cubic meters. D.24 grams C.24 centimeters
Answer: C
Step-by-step explanation:
HELPP ME PLS
Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the driv
Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.
Driver B had a mean race time of 4.03 seconds and a standard deviation of 0.12 seconds.
Driver C had a mean race time of 3.95 seconds and a standard deviation of 0.09 seconds.
Which driver do you predict will win the next drag race?
The driver that is predict to win the next drag race will be A. Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.
Given that we are aware that standard deviations indicate variability in a data collection, the variability is greater the higher the standard deviations.
In this case, A has the higher standard deviation. Therefore, the driver that is predict to win the next drag race will be Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.
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Rewrite the slope intercept equation into point slope form
Y=-1/3x+9
The point slope form of the given slope intercept form is:
y ₋ 9 = ₋1/3 (x ₋ 0)
Given, we have the slope intercept form as :
y = ₋1/3x ₊ 9
To convert the given form into point slope form we first need to determine the slope and the point.
A straight line is represented as a point on the line and its slope in point slope form. That means using the point slope form, one may find the equation of a line passing through the points (x ₁, y ₁) and having a slope of "m".
from the given equation y = ₋1/3x ₊ 9
the above equation is in the form of: y = mx ₊ b
slope (m) = ₋1/3
y intercept (b) = 9
x intercept = 0
Therefore, the points are: (0,9) = (x₁ , y₁)
hence the point slope form is:
y - y₁ = m(x ₋ x₁)
y ₋ 9 = -1/3(x ₋ 0)
hence we get the required point slope form.
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25°
y
x 120°
y=[? ]º
Answer:9514 1404 393
Answer:
y = 95°
x = 60°
Step-by-step explanation:
The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:
120° = 25° +y
95° = y . . . . . . . . . . subtract 25° from both sides
_____
If you like, you can get there by calculating x (or not):
x = 180° -120°
y = 180° -25° -x = 180° -25° -(180° -120°)
y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x
Step-by-step explanation:
What is the direction and strength of the association between the variables?
weak negative
weak positive
strong positive
strong negative
The required solution from the graph that variable X and Y have a strong negative association.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related. Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.
Given:
The given graph attached below .The graph is between variable x and variable y.
According to given question we have
The graph slopes downwards as variable X increases, hence we have a negative relationship between X and Y.
The graph shows strong negative because we see a correlation of downwards sloping.
The trend produced by the graph is straight forward with points close to one another, hence forming a well - defined pattern. These depicts a Strong association between the variable.
Therefore, the required solution from the graph that variable X and Y have a strong negative association.
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solve system of equations by using elimination method. (solve for (x,y,z) please explain the steps im so confused.
4x-y-2z=-8
-2x+4z=-4
x+2y=6
The solution to the given system of equations is x = -2, y = 4, and z = -2. That is, the solution is (-2, 4, -2)
From the question, we are to solve the given system of equations
The given system of equations is
4x - y -2z = -8 ------------ (1)
-2x + 4z = -4 ------------ (2)
x + 2y = 6 ------------ (3)
From equation (2)
-2x + 4z = -4
4z = -4 + 2x
Divide through by 2
2z = -2 + x ----------- (4)
From equation (3)
x + 2y = 6
2y = 6 - x
y = 3 - 1/2(x) ---------- (5)
Substitute equations (4) and (5) into equation (1)
4x - y -2z = -8
4x -(3 -1/2(x)) - (-2 +x) = -8
4x -3 + 1/2(x) + 2 - x = -8
Multiply through by 2
8x - 6 + x + 4 -2x = -16
Collect like terms
8x + x -2x = -16 + 6 - 4
7x = -14
x = -14/7
x = -2
Substitute the value of x into equation (4)
2z = -2 + x
2z = -2 + (-2)
2z = -2 - 2
2z = -4
z = -4/2
z = -2
Substitute the value of x into equation (5)
y = 3 - 1/2(x)
y = 3 - 1/2(-2)
y = 3 + 1
y = 4
Hence, the solution to the given system of equations is x = -2, y = 4, and z = -2. That is, (-2, 4, -2)
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The length of a rectangular deck is five times its width if the decks perimeter is 24 feet what is the decks area
The area of the rectangular deck is 20 ft²
How to find the area of a rectangle?The length of a rectangular deck is five times its width.
Therefore,
l = 5w
perimeter of the rectangular deck = 2(l + w)
where
l = lengthw = widthTherefore,
24 = 2(5w + w)
24 = 2 × 6w
12w = 24
divide both sides by 12
w = 24 / 12
w = 2
Therefore,
area of the rectangular deck = lw
area of the rectangular deck = 2 × 10
area of the rectangular deck = 20 ft²
Therefore, the area of the rectangular deck is 20 ft²
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The interest rate on your credit card is 5% and the credit card company has notified you that your rate
will go up by 19 percentage points. What will your new interest rate be
Don't forget to include a percent sign, %, in your answer.
Your new interest rate is
Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 320 minutes and the cost was $143.00. In July she used 710 minutes and the cost was $279.50.
The cost function expressed as the number of times spent calling is cost function = c(x) = 31 + 0.35x
How to solve for the cost functionThe cost function that can be written as per the number of units that she used is given as
c(x) = a + bx
x = 320
a + 320b = 143
When x = 710
we would have
a + 710b = 279
subtract the equations
710 b - 320 b = 279 - 143
390b = 136
b = 136/390
= 0.35
Put the value of b in equation 1
a + 320 x 0.35 = 143
a + 112 = 143
a = 31
cost function =
c(x) = 31 + 0.35x
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complete questionA) Express the monthly cost C as a function of a, the number of minutes of calling time she used.
PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON! WILL GET 100 POINTS FOR HELPING CORRECTLY!
FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!
Answer:
a 48 x 48 unit cube
Step-by-step explanation:
a 1x 1 has 4-line segments
a 2 x 2 has 6-line segments
a 3 x 3 has 8-line segments
we see a pattern here
3 * 2 + 2= 8
2 * 2+ 2+= 6
1 * 2 + 2= 4
so 48 * 2 + 2= 100
A house cleaner vacuums a house every fourth day and takes out the trash
every seventh day. The cleaner just vacuumed and took out the trash today.
In how many days will both tasks be done on the same day again?
4. A sporting goods store ordered new bikes and scooters. For every 3 bikes ordered, 4 scooters were ordered. However, bikes were way more popular than scooters, so the store changed its next order. The new ratio of the number of bikes ordered to the number of scooters ordered was 5:2. If the same amount of sporting equipment was ordered in both orders and 64 scooters were ordered originally, how many bikes were ordered as part of the new order?
Answer: Bikes were ordered as part of new order order is = 80 bikes
scooters were ordered as part of new order order is = 32 scooters.
Step-by-step explanation:
Given data,
A sporting goods store ordered new bikes and scooters.
For every 3 bikes ordered, 4 scooters were ordered.
Then, The ratio of the bike and scooter is equal to = 3:4
where,
bike ratio is 3
scooter ratio is 4
Then 48 bikes
original order = 64 scooter
= 64/4
= 16 scooters
However, bike is more popular than scooter.
So,
they changed it into new ratio = 5:2
where,
5 is equals to bikes ratio
and 2 is equal to scooter ratio.
Then,
5(original order) = 5(16)
= 80 bikes
2(original order) = 2(16)
= 32 scooters.
Therefore,
bikes were ordered as part of new order order is = 80 bikes
scooters were ordered as part of new order order is = 32 scooters.
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1 Find all possible square roots (1 point)
√400=
20 or -20
15 or -18
16 or -16
14 or -14
Answer:
20 or - 20 is the answer
Step-by-step explanation:
20×20 = 400
or
-20 × -20 = 400
What expression is equivalent to 5^0 • 5^3 A: 0. B:1. C:5^3. D:1/5^3
the perimeter of a college basketball court is 96 meters
and the length is 3 meters less then twice the width.
What are the demensions.
Answer:
Width=17m and Length=31m
Step-by-step explanation:
The perimeter of basketball court is rectangle in shape and is 96 m.
let us assume width be x m
so accordingly length will be 2*x-3=2x-3m
Perimeter= 2*(length+width)
96=2*(2x-3+x)
96=2*(3x-3)
96=6x-6
6x=102
x=102/6
x= 17
so, the width is 17m
and length is 2x-3=2*17-3=31m
What is the algebraic expression for
the following word phrase?
three-fourths of a number
Answer:
[tex] \frac{3}{4} x[/tex]
the swimming pool. The result are Time, / (min) 0-10 11-20 21-30 31-40 Number of people 6 8 4 2 20 16.9
a Use the mid-interval values to calculate an estimate for the mean time spent in the pool.
What is the modal class?
The modal class of the given frequency distribution table is found as: 0-10.
The mean found for the frequencies of swimming pool is 36.5.
What is defined as the frequency distribution table?A frequency distribution table is a graph that summarizes all data into two columns: variables/categories and frequency. It consists of either two or three columns. Depending on the size of the data set, the first column will typically list all of the outcomes as particular values or as class intervals.The given grouped class interval is-
Time(min): 0-10 11-20 21-30 31-40
Number of people: 68 42 20 16
Modal class: The modal class is indeed the class interval within such a set of data that has the greatest number of data points, also known as the highest frequency.
Thus, from the given frequencies, the maximum frequency that is 68 occurred for the class of 0-10.
Thus, the modal class is: 0 - 10.
For the calculation of mean;
mean = sum of all frequencies/number of frequencies
mean = (68 + 42 + 20 + 16)4
mean = 146/4
mean = 36.5
Therefore, the mean of the frequency for the swimming pool is 36.5.
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For each value of x, determine whether it is a solution to 15< x.
Based on the information provided, we have the following:
15 < 10; No, it is not a solution.15 < 16; Yes, it is not a solution.15 < 13; No, it is not a solution.15 < 20; Yes, it is not a solution.What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Next, we would determine whether or not the given values of variable x are solutions to the given inequality by evaluating as follows:
When x = 10, we have:
15 < 10; No, it is not a solution.
When x = 16, we have:
15 < 16; Yes, it is not a solution.
When x = 13, we have:
15 < 13; No, it is not a solution.
When x = 20, we have:
15 < 20; Yes, it is not a solution.
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Complete Question:
For each value of x, determine whether it is a solution to 15 < x.
Is it a solution?
10: yes or no
16: yes or no
13: yes or no
20: yes or no
The equation: s=p2−p2 gives the number of handshakes, s, that would take place when p people gather in a room and every person in the room shakes the hand of every other person exactly once. A) There are 12 people in the room, how many unique handshakes will there be? Answer: There will be unique handshakes. B) If there are 120 unique handshakes in the room, how many people are there? Answer: There are people in the room.
serian
respuesta 9 .5 por 56. 5678902
HELP ASAP I DONT WANT TO FAIL
Answer:
2
Step-by-step explanation: