The slope intercept form of the equation of line is written as
y = mx + c
where
m represents slope
c represents y intercept
For the first equation,
y = - 5x
Slope, m = - 5
For the second equation,
25x + 5y = 1
5y = 1 - 25x
5y = - 25x + 1
Dividing both sides of the equation by 5, it becomes
y = - 5x + 1/5
Slope, m = - 5
If the slope of two equations are equal, it means that the lines are parallel. Since the slope of both equations is - 5, then they are parallel
They are parallel
Enter a positive value for d that makes this statement true: 34×d is less than 34 but greater than zero HELP PLSS FASTT
Answer:
0.5 (any number between 0 and 1)
Step-by-step explanation:
34 * 0.5 = 17
34 > 17 > 0
Which are the better statistics to use to compare the penguin heights?
Penguin Heights at Cityview Zoo
(in cm)
Penguin Heights at Park Zoo
A
(in cm)
35 36 37 38 39 40 41 42 43 44 45
35 36 37 38 39 40 41 42 43 44 45
XO A. Median and standard deviation
B. Mean and standard deviation
C. Median and IQR
D Mean and IQR
The better statistics to use to compare the penguin heights is the median and standard deviation. The correct options are A and B.
What is a mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data.
The Penguin Heights at City view Zoo (in cm) is:
S = {35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45}
Compute the mean and median of the data:
Mean = ( 35 + 36 + 37 + 38 + 39 + 40 + 41 + 42 + 43 + 44 + 45 ) / 11
Mean = 40
Median = 40
The mean and median are the same. This implies that the height of penguins is normally distributed.
So, either the mean or median could be the best measure of the centre.
One measure of a dataset's spread or dispersion from its average value is its standard deviation. The standard deviation calculates the distribution of values' absolute variability.
The standard deviation increases as the spread or variability of the data set increases, which also increases the magnitude of the value's deviation from the average.
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5sq km95 ha8,994sq m+11sq km11 ha9,010sq m
type english is the answer ok just learn HOW TO TYPE ENGLISH
Answer:
iou213 hr2938ru 298rh243 ru23y
Step-by-step explanation:
po2iu4jrt 2r 23r9p23 r,
r24lon24 f23 r293hr,
dgngo34 9,
Therefore, iou213 hr2938ru 298rh243 ru23y
Find the slope of a line perpendicular to the line whose equation is x + 6y = -24.
Fully simplify your answer.
Answer:
\(m_{perpendicular}\) = 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + 6y = - 24 ( subtract x from both sides )
6y = - x - 24 ( divide through by 6 )
y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form
with slope m = - \(\frac{1}{6}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6
poonam wants to invest in an account today
to have $4000 at the end of 8 years.
If she can invest at 4.25% Compounded
Semi-annually, how much does she need
to invest?
Answer:
2055.15
Step-by-step explanation:
A(1+r)^n=4000
A is the money that she need to invest
r is rate
n is the time( depend on monthly or yearly rate)
A(1+4.25%)^16=4000
A=2055.15
1. Solve using any method:
2x – 3y = -2
4x + y = 24
Answer:
\(x=5,y=4\)
Step-by-step explanation:
\(2x-3y=-2\)
Add 3y to both sides:
\(2x-3y+3y=-2+3y\)
\(2x=-2+3y\)
Divide both sides by 2:
\(\frac{2x}{2}=-\frac{2+3y}{2}\)
\(x=\frac{-2+3y}{2}\)
Substitute this into the second equation:
\(4* \frac{-2+3y}{2}+y=24\)
\(2\left(3y-2\right)+y=24\)
\(7y-4=24\)
Add 4 to both sides:
\(7y-4+4=24+4\)
\(7y=28\)
Divide both sides by 7:
\(\frac{7y}{7}=\frac{28}{7}\)
\(y=4\)
We know that \(x=\frac{-2+3y}{2}\)
Thus, \(x=\frac{-2+3* \:4}{2}\)
\(x=\frac{10}{2}\)
\(x=5\)
Answer:
using elimination rule
multiply equation 2 by 3
we get, 12x+3y=72
now solve both equation
2x-3y= -2
(+)12x+3y=72
-----------------
14x=70
x=70/14=5
put value of x in any of the equation y=4
mark its as brainliest!!!!
Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary. What is the rate if the base is 366 and the portion is 50?
Answer:
\(\Huge \boxed{\text{13.66$\%$}}\)
Step-by-step explanation:
To find the rate, we need to use the following formula:
\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)
Where "Portion" is the part of the whole and "Base" is the whole.
Now, let's plug in the given values:
\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)
Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).
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pls help, i need this in 5 mins!
Answer:
85
Step-by-step explanation:
Here are the cost of tickets at a cinema venue
Answer:
A=40.8 B=8
Step-by-step explanation:
A Explanation
£7.20*3=£21.6
£9.60*2=£19.2
19.2+21.6=40.8
B Explanation
£9.60*3=£28.8
86.40-28.8=57.6
57.6/7.20=8
Solve the inequality for x and identify the graph of its solution. 2|x + 1| <4
Answer:
8
Step-by-step explanation:
1. The population of a town was 112 in 2014. The population doubles every year.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2014.
(b) Estimate the population of the town in 2023.
Show your work.
Answer:
Answer: 2048
Step-by-step explanation: 1. Write the exponential growth model.
The population of the town doubles every year, so the growth factor is 2. The initial population is 112, so the equation is: P(t) = 112(2)^t where P(t) is the population in year t and t is the number of years since 2014.
2. Estimate the population of the town in 2023. To estimate the population of the town in 2023, we can set t=9, since 2023 is 9 years after 2014. Plugging this into the equation, we get: P(9) = 112(2)^9 = 2048
Therefore, the estimated population of the town in 2023 is 2048.
HELP PLEASE IM GIVE BRAINLIST
The triangle which could be drawn as per the given description is only option b. isosceles triangle with measure 20° and 80°.
An acute triangle with sides measuring 7, 4, and 2
In an acute triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side .
According to the Pythagorean Theorem.
Here, 7² is greater than (4² + 2²).
So this is not possible.
An isosceles triangle with angles measuring 20° and 80°
In an isosceles triangle, two angles are equal, so if two angle measures 20° and 80°,
Then the third angle measures is
180° - 20° - 80°= 80°
Two angles are congruent implies two sides are congruent.
It is possible to form isosceles triangle.
An obtuse triangle with sides measuring 5, 10, and 15
In an obtuse triangle, the longest side is opposite the largest angle.
Sum of squares of two shorter sides is less than square of longest side according to Pythagorean Theorem.
However, 15²is greater than (5²+ 10²),
so this is not possible.
A scalene triangle with angles measuring 110° and 35°
The sum of the angles of any triangle is 180°,
so the third angle must measure
180° - 110° - 35° = 35°.
Two angles are congruent so it is isosceles triangle.
It is not possible to form scalene triangle.
Therefore, the triangle possible to draw as per the given condition is only option b. isosceles triangle with measure 20° and 80°.
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what kind of teaching and learning materials that teacher can used to teach binary operations
Answer:
Most significant digit. That's the same that it's called for any number system.
Step-by-step explanation:
someone help me pls
Answer:
y=1/2x + 3
Step-by-step explanation:
The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!
Megan attends an online school. As part of a math project, she kept track of how many hours she spent at her computer each school day. This box plot shows the results. Time spent at computer (hr.) 0 2 4 6 8 10 What fraction of the time did Megan spend between 4 and 6 hours at her computer?
Using the box plot, it is found that Megan spend 50% of her time between 4 and 6 hours at her computer.
What does a box plot give?The two bounds of a box plot are the 25th percentile and the 75th percentile, respectively. Hence, it gives the middle 50% of a distribution.
In this problem, the bounds are of 4 and 6 hours, hence, Megan spend 50% of her time between 4 and 6 hours at her computer.
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According to a survey conducted by Deloitte in 2017, 0.46 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 96 randomly selected U.S. smartphone owners, approximately __________ owners, give or take __________, will have attempted to limit their cell phone use in the past. Assume each pick is independent
Answer:
44.16 ; 4.88
Step-by-step explanation:
Recall :
Mean, μ = np
Sample size, n = 96
Sample proportion, p = 0.46
For the mean :
Mean, μ = 96 * 0.46
0.46 * 96 = 44.16
The standard deviation :
σ = √npq
q = 1 - p = 1 - 0.46 = 0.54
σ = √npq = √(96 * 0.46 * 0.54)
σ = √23.8464
σ = 4.88
Can someone help with the picture please?
Answer:-12 degrees ferenheight
Step-by-step explanation:
Just add 13 to -25 to find the temp change.
Thus, 13-25= -12 degrees F
These shapes are similar.
Find X.
5
5
30
24
30
Answer: 4
Step-by-step explanation:
Match each term with its notation. Enter the number corresponding to the correct notation in the blank.
______:The number of treatment conditions
______:The number of scores in each treatment
______:The total number of scores in the entire study
______:The sum of the scores for each treatment condition
______:The sum of all of the scores in the research study
______:The F-ratio
1. G
2. k
3. n
4. T
5. n
6. F
Question:
Match each term with its notation. Enter the number corresponding to the correct notation in the blank.
______:The number of treatment conditions
______:The number of scores in each treatment
______:The total number of scores in the entire study
______:The sum of the scores for each treatment condition
______:The sum of all of the scores in the research study
______:The F-ratio
1. G
2. k
3. N
4. T
5. n
6. F
Answer:
i) K :The number of treatment conditions
ii) n :The number of scores in each treatment
iii) N :The total number of scores in the entire study
iv) T :The sum of the scores for each treatment condition
v) G :The sum of all of the scores in the research study
vi) F :The F-ratio
Step-by-step explanation:
Here we are dealing with ANOVA notations.
ANOVA which is the short form for Analysis of Variance is a test in staristics used to compare two population samples to check if they are equal.
Here, we have the following ANOVA notations:
G, K, n, T, N, F
Where, G is said to be the sum of scores in the research study.
K is the number of treatment.
n is the number of scores in each treatment
T is the sum of scores for each treatment condition.
N is the total number of scores in whole study
F is the F-ratio.
Matching them with the terms given, we have the following:
i) K :The number of treatment conditions
ii) n :The number of scores in each treatment
iii) N :The total number of scores in the entire study
iv) T :The sum of the scores for each treatment condition
v) G :The sum of all of the scores in the research study
vi) F :The F-ratio
Note the difference between "N" and "n"
Part AWhat is the mass in grams of 17.96 mL of acetone?Express your answer to four significant figures and include the appropriate units.mass = Value and UnitsPart BWhat is the volume in milliliters of 7.40 g of acetone?Express your answer to three significant figures and include the appropriate units.V = Value and Units
Part A:
Ans: Mass=14.11 g.
Given:
The volume of acetone, V=17.96 mL.
We know, the density of acetone, D=0.7857 g/mL.
The mass in grams of acetone is,
\(\begin{gathered} M=VD \\ =17.96\text{ mL}\times0.7857\text{ g/mL} \\ =14.11\text{ g} \end{gathered}\)Therefore, mass of acetone in grasm rounded upto four significant figures is 14.11 g.
Mass=14.11 g.
Part B:
Ans: V=9.42 mL
Given
The mass of acetone, M=7.4 g.
We know, the density of acetone, D=0.7857 g/mL.
The volume in mL of acetone is,
\(\begin{gathered} V=\frac{M}{D} \\ =\frac{7.40\text{ g}}{0.7857\text{ g/mL}} \\ =9.42\text{ mL} \end{gathered}\)Therefore, voulme of acetone in mL rounded upto three significant figures is 9.42 mL.
Volume, V=9.42 mL
Help quick!like really quick
Answer:
2 is 2930in²
Step-by-step explanation:
Use the equation below to find T, if W=62, m=4, and a=6
Answer:
T = 38
Step-by-step explanation:
T = 38 because:
1) Plug in all the variables into the equation
Equation: T = 62 - 4(6)
2) Next, solve the equation. First, do multiplication because of order of operations.
Equation: T = 62 - 24
3) Now just subtract 62 and 24
Equation: 38 = 62 - 24
Therefore, T = 38
Hope this helps! :D
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
60
25
Answer:
65
Step-by-step explanation:
C^2= A^2 + B^2
C^2 = (60)^2 + (25)^2
C^2 = 4225
Take the square root of C
C = 65
Answer:
65
Step-by-step explanation:
Use the Pythagorean Theorem to find the length of the hypotenuse.
\(a^2+b^2=c^2\)
I'm assuming that '60' and '25' are measures of the legs, since the question asks to find the hypotenuse.
\(60^2+25^2=c^2\\\rightarrow 60^2=3600\\\rightarrow 25^2 = 625\\3600+625=c^2\\4225=c^2\\\sqrt{4225}=\sqrt{c^2}\\\boxed{65=c}\)
The hypotenuse should measure 65 units.
.2. The International calls tariffs of Telkom are given in the following table.
Number of minutes
3
5
9
Y
Costs
R4.95
R8.25
X
R28.05
The following table lists Telkom's rates for international calls. Number minutes needed for \(x\) to be \(17\)and \(y\) to be \(14.85\).
Do numbers have any symbolic significance?Many numbers have deeper symbolic connotations in addition to their spiritual significance, and it is crucial to grasp these meanings in order to comprehend how they influence other cultures' perceptions of the physical world.
What may seeing 333 represent for you personally?According to Wilder, any sequence of consecutive threes is probably a sign of good fortune or a shift in your job, achievement, aspirations, or emphasis. According to Wilder, the number 333 is frequently a signal that you should have faith in your ability to make the next move.
Let\(y=k*b\)
When \(x=3, y=4.95, x=5, y=8.25\)
\(4.95=3k+b\)
\(8.25=5k+b\)
\(k=1.65\)
\(b=0\)
\(y=1.65x\)
when \(x=9\)
\(y=1.65*9 = 14.85\)
when \(y=28.05\)
\(x=y/1.65=28.05/1.65=17\)
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The complete and the correct form of question is:
The International calls tariffs of Telkom are given in the following table:
Number of minutes 3 5 9 y
Cost R4.95 R8.25 X R28.05
Determine the cost of 9 minute call
I need the area choices below
Answer:
Area of the shape is 244.98cm² is B
Step-by-step explanation:
Area of shape=Area of semi circle+Area of trapezoid
A=1/2 πr² + 1/2(a+b)h
A=1/2×3.142×7² + 1/2(14+18)10.5
A=1/2×3.142×49 + 1/2×32×10.5
A=76.98+168
A=76.98+168
A=244.98cm²
An airport limo service charges riders a fixed charge of $15 plus
$4.00 per mile. How many miles must a rider go to have an
average cost per mile of $4.60?
Given:
An airport limo service charges riders a fixed charge of $15 plus $4.00 per mile.
To find:
Distance in miles must a rider go to have an average cost per mile of $4.60.
Solution:
Let x be the number of miles the rider travel.
Total charges = Fixed charges + Variable charges
According to the question,
Fixed charges = $15
Variable charges = $4x
So, total charges
\(T=15+4x\)
Divide the total charges by number of miles to get the cost per mile.
\(\text{Cost per mile}=\dfrac{15+4x}{x}\)
Average cost per mile is $4.60.
\(4.60=\dfrac{15+4x}{x}\)
\(4.60x=15+4x\)
\(4.60x-4x=15\)
\(0.60x=15\)
Divide both sides by 0.60.
\(x=\dfrac{15}{0.60}\)
\(x=25\)
Therefore, the required number of miles is 25.
you have a bill of $56.40.find a 20% tip?
Answer:
11.28
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Let f(x) = (x – 10)^9– 5, determine f^-1(x)
Solution
- We are asked to find the inverse of the function below:
\(f(x)=(x-10)^9-5\)- The solution steps for finding the inverse is given below:
\(\begin{gathered} Let\text{ }f(x)=y \\ \\ y=(x-10)^9-5 \\ \\ \text{ Add 5 to both sides} \\ y+5=(x-10)^9 \\ \\ Take\text{ the 9th root of both sides} \\ \sqrt[9]{y+5}=x-10 \\ \\ \text{ Add 10 to both sides} \\ x=\sqrt[9]{y+5}+10 \\ \\ \text{ Thus, if we make x = y and y = x, we have that} \\ \\ y=\sqrt[9]{x+5}+10 \\ \\ Let\text{ }y=f^{-1}(x) \\ \\ \therefore f^{-1}(x)=\sqrt[9]{x+5}+10 \end{gathered}\)Final Answer
The inverse of function f(x) is:
\(f^{-1}(x)=\sqrt[9]{x+5}+10\)Find m These questions getting hard
Answer:
the
Step-by-step explanation:
it's fairly easy actually. You just have to use sin
Is the quotient of -125 and five positive negative or zero
Answer:
negative
Step-by-step explanation:
we know this because a negative divided by a positive is a negative
Answer:
Step-by-step explanation:
= -125 ÷ 5
= -25
It's negative