[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-9}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{(~~ 7- (-9)~~)^2 + (~~ 4- 4~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 16)^2 + ( 0)^2}\implies \boxed{AB=16} \\\\\\ B(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{7}~,~\stackrel{y_2}{-8}) ~\hfill BC=\sqrt{(~~ 7- 7~~)^2 + (~~ -8- 4~~)^2}[/tex]
[tex]~\hfill BC=\sqrt{( 0)^2 + ( -12)^2}\implies \boxed{BC=12} \\\\\\ C(\stackrel{x_1}{7}~,~\stackrel{y_1}{-8})\qquad A(\stackrel{x_2}{-9}~,~\stackrel{y_2}{4}) ~\hfill CA=\sqrt{(~~ -9- 7~~)^2 + (~~ 4- (-8)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -16)^2 + (12)^2}\implies CA=\sqrt{400}\implies \boxed{CA=20} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Perimeter}{16~~ + ~~12~~ + ~~20\implies \text{\LARGE 48}}[/tex]
Fill in the blanks of the number line
Step-by-step explanation:
The line should go: 0, 1/3, 2/3, 1, 1 1/3, 1 2/3, 2 or 0, 0.33, 0.66, 1, 1.33, 1.66, 2 depending on how it's needed (decimals repeating)
if the length of a rectangle is (x-6) the width is (x-2) and the height (x-1), write a polynomial that is the volume of the rectangle. what if the volume is 60?
Answer: x3+5x2+6x
Hope this helps
The water depth in a harbor rises and falls over time. the function f(t) = 4.1 sine (startfraction pi over 6 endfraction t minus startfraction pi over 3 endfraction) 19.7 models the water depth, in feet, after t hours. during the first 24 hours, at what times does the water depth reach a maximum? at 5 and 17 hours at 11 and 23 hours at 2, 8, 14, and 20 hours at 5, 11, 17, and 23 hours
Answer:
Step-by-step explanation:
A function assigns the value of each element of one set to the other s/p
what is the mean of 76,88,100,75,95,100
Answer:89
Step-by-step explanation:add them all together and divide by however many numbers you have
Answer:
Hello, Hope your having a good day
Step-by-step explanation:
your Question; what is the mean of 76,88,100,75,95,100
The mean is 89
Median: 91.5
Mode: 100
What is a mean?
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.
Hope this helped :)
pls like
(d² + 14d + 5) + (d - 4)
Answer:
d^2+15d+1
Step-by-step explanation:
group like terms
d^2+14d+d-4+5
simply like terms
d^2+15d+1
however, the answer is d^2+15d+1
There are 100 centimeters in 1 meter. How many square centimeters are there in
1 square meter? Explain how you found your answer.
16x + 9 = 9y - 2x
need the step and answer.
The solution for x and y for the given expression are :
x =1/2y + −1/2 and y=2x+1 respectively.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the given equation is : 16x + 9 = 9y - 2x
Now,
solving for x :
16x+9=9y−2x (Add 2x to both sides.)
16x+9+2x=−2x+9y+2x
18x+9=9y
18x+9+−9=9y+−9 (Add -9 to both sides)
18x=9y−9
18x/18 = 9y−9/18 (Divide both sides by 18.)
x =1/2y + −1/2
solving for y :
16x+9=9y−2x
−2x+9y=16x+9 (Flip the equation.)
−2x+9y+2x=16x+9+2x (Add 2x to both sides.)
9y=18x+9
9y/9=18x+9/9 ( Divide both sides by 9.)
y=2x+1
Therefore, the solution for x and y for the given expression are :
x =1/2y + −1/2 and y=2x+1 respectively.
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Stephen and Paul each purchased a movie ticket at AMC Theatres for $11.00 each. Both bought a drini from the concession stand. Stephen used a $5.00 off coupon that he received in the mail. After using the coupon, their total cost before tax was $29.18. Write an equation that can be used to determine the cost of one drink.
The equation that can be used to determine the cost of one drink is d = $12.8 / $2.
What is the equation?The total amount that is paid by Stephen and Paul is the sum of the total cost of the movie tickets, the cost of the drinks less the cost of the coupon.
Total amount paid = cost of two tickets + cost of the two drinks - coupon
($11 x 2) + ($d x 2) - $5 = $29.18
$22 + $2d - 5 = $29.18
$2d = $29.18 + $5 - $22
$2d = $12.18
d = $12.8 / $2
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cynthia besch wants to buy a rug for a room that is 19 ft wide and 29 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 299 square feet of carpeting. what dimensions should the rug have?
The dimension which this rug should have is 23 feet × 13 feet.
How to calculate the dimensions of this rug?Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
Where:
A represents the area of a rectangle.l represents the length of a rectangle.w represents the width of a rectangle.Let x represent the width of this rug.
Also, the dimension of this rug is given by:
299 = (29 - 2x) × (19 - 2x)
299 = (29 - 2x)(19 - 2x)
Evaluating the equation, we have:
299 = 551 - 58x - 38x + 4x²
4x² - 58x - 38x + 551 - 299 = 0
4x² - 96x + 252 = 0
Dividing all through by 4, we have:
x² - 24x + 63 = 0
x² - 21x - 3x + 63 = 0
x(x - 21) - 3(x - 21) = 0
(x - 3)(x - 21) = 0
x = 3 or 21 feet.
Note: The plausible solution is x = 3.
Therefore, the width and length of this rug is given by:
Length = 29 - 2(3)
Length = 29 - 6
Length = 23 feet.
Width = 19 - 2(3)
Width = 19 - 6
Width = 13 feet.
In conclusion, the dimension of this rug is 23 feet × 13 feet.
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0.3. human iq scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. the minimum iq score for the top 10% of the population.
According to the given information The highest 10% of the population's IQ is 0.0179.
Describing Standard deviation:The root of the variability in the given group as well as ungrouped data is referred to as the standard deviation. The standardized value is the value left after subtracting the mean and dividing by the standard deviation.
z = (x- μ) / σ
x denotes the observations (a specific value that you are calculating the z-score for).
Mu(μ) is the mean.
Sigma(σ) denotes the standard deviation.
According to the given data:x = 131.5
μ = 200
σ = 15
So, when humans apply the values to the formula, we obtain,
=> z = 131.5 - 100 /15
=> z = 2 .10
Using table A-2, calculate the corresponding probability:
=> P(Z>2.10) = 1 − P(Z<2.10)
=> 1 − 0.9821
=> 0.0179
The top 10% of the population has a required IQ of 0.0179.
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Convert 0.000 000425 to Standard form
Answer: 4.25
x
10
−
4
Step-by-step explanation:
Answer:
4.25x10^-9
Step-by-step explanation:
Solve inequality.
y-13<2
To solve the inequality, add 13 to both sides. The solution is y < 15 or (∞, 15)
Tips to solve linear inequalities:
Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis ( or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.
Example: x ≥ 2 can be written as [2, ∞), while
x > 0 is written as (2, ∞)
The given problem:
y-13 < 2
Add 13 to both sides. Adding a number to both sides will not change the inequality. Hence,
y -13 + 13 < 2 + 13
y < 15
Using the interval notation, the solution is (∞, 15)
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1,889 divided by 4 pls help !!
Answer:
472.25
Step-by-step explanation:
1,889 divided by 4 = 472.25
you need a calculator haha
472.25
A student ran a distance of 3 miles each day for 5 days. Then the student ran a distance of
4 miles each day for the next 5 days.
What was the total distance in miles the student ran during these 10 days?
4
th
Answer:
40
Step-by-step explanation:
If the student ran 4 miles for 5 days multiply 4 by 5 and you get 20. Then just do the same thing for 5 more days. Also, 20. Then add 20 + 20 and you get 40
A rectangle has a height of 4x^3 and a width of x3+3x^2+2x.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
area of recatangle= 4x^3(x^3+3x^2+2x) =4x^6+12x^5+8x^4
HELP 50 PTS AND BRAINLY!!!
Answer:
1 1/2
1/2
2 hours
Step-by-step explanation:
Answer: 1/2 hour and 1/2 hour and 1 hour
Step-by-step explanation:
Hope this helps you! :) Have an Amazing day! ^-^
How many numbers between two and fifty are
divisible by three?
Answer:
18
Step-by-step explanation:
because i smart it's will be 18
in a recent study on the effects of sleep and test results, volunteers took a math test. the volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on the math test than were sleep-deprived volunteers. complete parts a through d.
The test results of the study's subjects serve as the sample.
The portion of the population from which data was actually gathered is known as a sample.
Sample = Hours of sleep and maths test score of the volunteers that were included in the study.
How is a sample related to a population?A population is the total group about which you want to draw conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population.
A population in research doesn't usually refer to humans. It can refer to a collection of whatever you desire to study, including things, occasions, groups, nations, species, and animals.
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.
can anyone solve 2x-2 <6
Answer:
x<4
Step-by-step explanation:
Hello,
[tex]2x - 2 < 6[/tex]
[tex]2x < 6 + 2[/tex]
[tex]2x < 8[/tex]
[tex] \frac{2x}{2} < \frac{8}{2} [/tex]
[tex]x < 4[/tex]
Write an equation of the line with the given slope, m, and y-intercept (0,b), m=7, b=5
Answer: y = 7x + 5 (maybe, please make sure, I'm very doubtful of myself sometimes)
Step-by-step explanation:
1. With the given numbers, m is slope, so 7 is the slope and b is y-intercept, and 5 is the y-int in this case.
2. This is hinting that the equation is in slope intercept form, which is y = mx + b.
3. Since y = mx + b is the formula, then it means y = 7x + 5 is the likely answer
Taylor bought a watch on sale for 60% off the original price, and another 10% off the discounted price. If the watch originally cost $82, What was the final sale price?
Answer: $29.52
Step-by-step explanation: 82x0.6=49.2 82-49.2=32.8 32.8x0.1=3.28
32.80-3.28=29.52
Lashondra's playlist has 9 times as many songs as Harriette's playlist.-Velora-has 7 times as many songs on her playlist as Harriette does. If they combined their playlists, they would have 986 songs
Harriette has 58 songs in her playlist.
No of the songs in Lashondra's playlist = Nine times Harriette's playlist
No of the songs in Velora's playlist = Seven times Harriette's playlist
Total number of songs combined by all = 986
Let the number of songs in Harriette's playlist be x.
According to the problem,
9x + 7x + x = 986
⇒ 17x = 986
⇒ x = 58
Answer) Harriette's playlist has 58 songs.
We have taken the number of songs in Harriette's playlist as x as the other numbers were given in relation to this playlist. Thus, the variable is used to create a generalized formula.
Since the total number of songs is given, we can carry out simple algebraic addition and simplification to find out the answer.
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The entire question is given below:
Lashondra's playlist has 9 times as many songs as Harriette's playlist.-Velora-has 7 times as many songs on her playlist as Harriette does. If they combined their playlists, they would have 986 songs. How many questions does Harriette have in her playlist?
Find the midpoint of the points
Answer: Midpoint=(-3, -5 1/2)
Step-by-step explanation: Using the midpoint formula (x1+y1)/2, (x2+y2)/2 we can calculate. (-2+-4)/2, (-4+-7)/2 The answer (-3, -5 1/2)
there is no prior information about the proportion of americans who support gun control in 2019. if we want to estimate 97% confidence interval for the true proportion of americans who support gun control in 2019 with a 0.27 margin of error, how many randomly selected americans must be surveyed?
If we want to estimate 97% confidence interval for the true proportion of Americans who support gun control in 2019 with a 0.27 margin of error, then 16 Americans must be surveyed.
Given,
The confidence level =97%
Critical z value of 97% confidence interval =2.170
Margin error E= 0.27
We know,
Sample size n= [tex]0.25(\frac{z}{E})^{2}[/tex]
Substitute the values in the equation
[tex]n=0.25(\frac{2.170}{0.27})^{2}\\ n=0.25( 8.03)^{2}[/tex]
n=16.12
n≈16
Hence, if we want to estimate 97% confidence interval for the true proportion of Americans who support gun control in 2019 with a 0.27 margin of error, then 16 Americans must be surveyed.
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Given that Sin A=Cos (A + 20).
Find the value of A
The value of A is 35.
How to solve trigonometry?The given expression is as follows:
sin A = cos (A + 20)
using trigonometric rule,
sin A = cos(90 - A)
Therefore,
cos (A + 20) = cos(90 - A)
divide both sides by cos
Hence,
A + 20 = 90 - A
A + A = 90 - 20
2A = 70
divide both sides by 2
A = 70 / 2
A = 35
Therefore, the value of A is 35.
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Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.
5=3x-1/4
Answer:
1 3/4
Step-by-step explanation:
so the question will be done like this
5 =3x-1/4
The (-1/4) will go to the other side where 5 is and the equation becomes
5+1/4=3x which will be
7/4=3x hence you divide both sides by 3 to get the value of x as 1 as the whole number and 3/4 as the remainder
Answer:
x = 7
Step-by-step explanation:
[tex]5=\frac{3x-1}{4}[/tex]
multiply both sides by 4 (Multiplication property of equality)
[tex]20=3x-1[/tex]
add both sides by 1 (Addition property of equality)
[tex]21=3x[/tex]
divide both sides by 3 (Division property of equality)
[tex]7 = x[/tex]
switch sides (Symmetric property of equality)
[tex]x=7[/tex]
A side of the triangle below has been extended to form an exterior angle of 147°. Find
the value of x
Answer:
X+90 = 147 ( sum of two interior angles equals opposite/adjacent exterior angle)
X = 147 - 90
X = 57
Answer:b
eez nuts srry
Step-by-step explanation:
Solve by Elimination Algebra 2 A park charges $10 for adults and $5 for kids. How many adult tickets and kid tickets were sold, if a total of 524 tickets were sold for a total of $3860 There were _ adults and _ kids tickets sold
Answer:
There were 248 adult tickets and 248 kid tickets.
Step-by-step explanation:
a = number of adult tickets
k = number of kid tickets
a + k = 524 10a + 5k = 3860
Multiply the equation on the right all the way through by -5 so that we can eliminate the k's when we add the equations together.
-5(a+ K) = 524(-5)
-5a - 5k = -2620
Add the two equations together:
-5a - 5k = -2620
10a + 5K = 3860
5a = 1240 Divide both sides by 5
a = 248 There are 248 adult tickets. Plug in 248 for a in either of the original equations.
a + k = 524
248 + k = 524 Subtract 248 from 524 to find the number of kid tickets.
There are 276 kid tickets.
Check:
Plug in 276 for k and 248 for adult to both equations to see if they work
a + k = 524
248 + 276 = 524
524 = 524
10a + 5k = 3860
10(248) + 5(276) = 3860
2480 + 1380 = 3860
38060 = 3860
what is 33 divided by 50
Answer:0.66
Step-by-step explanation:
hope this helps
Answer:0.66
Step-by-step explanation:33%50=0.66
Find the value of x.
15
X
36
Answer:
x = 39
Step-by-step explanation:
As we can see in the diagram, the triangle is a right-angled triangle, meaning that one of the angles inside the triangle has a measure of 90°.
Whenever we have a right-angled triangle and are given the lengths of two of its sides, and we are asked for the length of the third side, we must use the Pythagorean theorem, which states that:
[tex]\boxed{\mathrm{a^2 + b^2 = c^2}}[/tex],
where:
c = hypotenuse (longest side, opposite to 90° angle)
a, b = the two other sides of the triangle.
In this question, we are asked for the value of x, which is the hypotenuse of the given triangle, while the lengths of the other two sides are 15 and 36.
Therefore, using the Pythagorean theorem, we get:
[tex]15^2 + 36^2 = x^2[/tex]
⇒ [tex]x = \sqrt{36^2 + 15^2}[/tex]
⇒ [tex]x = \sqrt{1296 + 225}[/tex]
⇒ [tex]x = \sqrt{1521}[/tex]
⇒ [tex]x = \bf 39[/tex]
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Answer:
39
Step-by-step explanation:
This is called the Pythagorean Theorem. You are trying to find x or the hypotenuse. The a and b side are the two shorter side of the triangle(the a and b side can be interchangeable), these are the legs. The c side is the hypotenuse the long side. Plug in the numbers to the formula and get your answer.