Answer:
r=3
Step-by-step explanation:
First we add 2 to both sides.
That leaves us with 10r=30
Then we can divide both sides by 10
r=3
Answer:
R=C
Step-by-step explanation:
got 100 on edge
With steps , please .
Answer:
Θ=15
Step-by-step explanation:
AD=DC so triangle BCD is isosceles, so angle DBC = angle BCD = Θ
So angle BDC=180-Θ-Θ=180-2Θ
angle BDE = 180- angle BDC = 180-180+2Θ=2Θ
in triangle BDE all angles must add up to 180
angle BED= 180- angle BEA=180-90=90
so
90+4Θ+2Θ=180
90=6Θ
Θ=15
How do you find the MAD? The MEAN ABSOLUTE DEVIATION
Step-by-step explanation:
Start with the average. (of your data set)
Find how much each data value deviates from the average (difference of average and data value).
Take the absolute value of each difference.
Add all of these absolute values.
Divide by the total number of data values.
How to find the MAD (Mean Absolute Deviation):
Let's use these numbers to figure out the MAD:
[tex]5, 2, 1, 3[/tex]
1. First thing you want to do is add the numbers together:
[tex]5+2+1+3=11[/tex]
2. Second thing you want to do is divide it by 4 because there are 4 numbers in the data set:
[tex]\frac{11}{4} =2.75[/tex]
3. Third thing you want to do is subtract the data set from 2.75:
[tex]5-2.75=2.25\\2.75-2=0.75\\2.75-1=1.75\\3-2.75=0.25[/tex]
4. Fourth thing you want to do is add all the differences:
[tex]2.25+0.75+1.75+0.25=5[/tex]
5. Last thing you want to do is now divide the sum (5) by 4 again:
[tex]\frac{5}{4}= 1.25[/tex]
So, the answer (MAD) would be 1.25
That's how you find the MAD to any data set in steps.
Hope this helped!
I know I'm 2 years late btw, you've probably already mastered this subject, sorry!
- June 7, 2022 (6/7/22)
A triangle is drawn on a coordinate plane. Point A is at (2,6), Point B is at (4,10), and Point C is at (8,5). What is the midpoint of side AB
?
Answer:
I(3,8)
Step-by-step explanation:
to answer this question we must use this relation :
let I be our midpoint I([tex]\frac{2+4}{2}[/tex];[tex]\frac{6+10}{2}[/tex])I(3,8)6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1
Answer:
111111 [tex]\times[/tex] 1111110 is the simple expression.
Step-by-step explanation:
The expression to be solved:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex]
First of all, let us solve the first term:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111[/tex]
Now, the right term:
[tex]\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111[/tex]
So, the expression to be solved becomes:
[tex]1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110[/tex]
What value of y will make the equation true? √34 × √y =34
Answer:
34
Step-by-step explanation:
For √34 and the multiplication of √y to be equal to 34 y must be 34
Approximate 5.7255 to the nearest thousandth
Answer:
5.726
Step-by-step explanation:
First, find the thousandths place value. Note the place values:
5 (one's place value)
.
7 (tenth's place value)
2 (hundredth's place value)
5 (thousandth's place value)
5 (ten thousandth's place value)
Find the thousandths place value. Look at the number located directly next to it (ten thousandth's place value).
Note that:
If the number is 4 or less, round down.If the number is 5 or greater, round up.Since the number is 5, round up.
5.7255 rounded to the nearest thousandths place value is 5.726
~
Dustin is riding his bike from Logan, Utah to Jackson Hole, Wyoming in a bike race. He must ride at least 200 miles before he will complete the course. He has already biked 5634 miles. If he can bike roughly 1858 mph, how many more hours will it take him to finish biking at least 200 miles? Round your answer to the nearest whole number of hours.
Answer:
to the nearest hundreths or any one
Step-by-step explanation:
#1 The area of a rectangular deck, in square meters, is given by the polynomial 40p^2 + 24p.
The deck is 8p meters wide
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck.
#2 A cylinder has a volume of 200 mm^3 and a height of 17mm.
a) The volume formula for a cylinder is the equals v=(pi)r^2h. Isolate the variable for r in this formula.
b) using the equation where are you isolated r for part a, find the radius of the cylinder round your answer to the nearest hundredth.
PLEASE HELP even if you just answer #1 or #2 it would help i don’t have very much time.
Answer:
1.
a. 5p + 3
b. 26p + 6
2.
a r = (v ÷(pi)h)½
b. r = 3.74 to the nearest hundredth
Step-by-step explanation:
1.
Area of deck = 40p² + 24p
Width of deck = 8p
Area = length × width(breadth)
a. Area = length × width
40p² + 24p = length × 8p
Factorise out 8p from the left hand side
8p(5p + 3) = length × 8p
Divide both sides by 8p
5p + 3 = length
b Perimeter of deck = 2 (length + width)
"" = 2(5p+3 + 8p)
"" = 2 (13p + 3)
"" = 26p + 6
2.
Volume = 200 mm³
Height = 17mm
a. isolate the r in the equation v = (pi)r²h
v = (pi)r²h
Divide both sides by (pi)h
v ÷ (pi)h = r²
Take the square roots of both sides
(v ÷ (pi)h)½ = r
b. find r using your answer in a.
r = (v ÷ (pi)h)½
r = (200 ÷ ( 22/7 × 17))½
r = (200 ÷ 53.4286)
r = 3.7433
r = 3.74 to the nearest hundredth
Match each power of a power expression with its simplified expression.
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
Here, we want to match what we have on the left with the expressions on the right.
(-4^9)^2
= -4^18
(4^6)^-3
= 4^-18 = 1/4^18 according to laws of indices
(4^0)^-9 = 4^0
(4^-3)^-3
= 4^9
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
I need help with finding the surface area of the prism
Answer:May be 12
Step-by-step explanation:
Answer: The surface area of the rectangular prism is 114 cm^2.
Step-by-step explanation:
1) Formula: A = 2wl + 2lh + 2hw
( W=width, l= length, h=height)
2) Plug it in: A=2(3)(8) + 2(8)(3) + 2(3)(3)
3) A= 2( 24) + 2(24) + 2(9)
4) A= 48+ 48+ 18= 114
Help!!!!! please!!!!!
Some one HELP PLEASE
THE ANSWER IS NOT 40,5 20 -20
Answer:
x = 20
Step-by-step explanation:
If AE is a bisector then it divides the angle in half
BAE = EAC
x+30 = 3x-10
Subtract x from each side
30 = 2x-10
Add 10 to each side
40 = 2x
Divide by 2
40/2 =2x/2
20 =x
F(x)3x+5/x what is f(a+2)
Answer:
3a+6+5/(a+2)
Step-by-step explanation:
To do this you replace x with a+2, meaning that 3x+5/x turns into 3(a+2)+5/a+2. Simplified this is 3a+6+5/(a+2)
Please help ! ;v; A coordinate plane is shown. A line passes through the point (-4,1) and through the y-axis at 4. What is the y-intercept of the line shown?
Answer:
(0, 4)
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis when x = 0. Since you are given the graph, you can see that when x = 0, the graph crosses y = 4, so our y-int is (0, 4).
simplify 1/2 -1/4+1 1/2
Answer: 1 3/4
Step-by-step explanation:
Step 1: Subtraction
1/4+1 1/2
Step 2: Addition
1 3/4
Hope it helps <3
Answer:
1 3/4
Step-by-step explanation:
Simplify 1/2 -1/4+1 1/2
1/2 - 1/4 + 1 1/2 =
= 2/4 - 1/4 + 1 2/4
= 1/4 + 1 2/4
= 1 3/4
James is contemplating an investment opportunity represented by the function A(t)=P(1.06)t, where P is the initial amount of the investment, and t is the time in years. If James invests $5000, what is the average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20?
Answer:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Step-by-step explanation:
Given that:
Initial Investment, P = $5000
Formula:
[tex]A(t) = P(1.06)t[/tex]
To find: If James invests $5000,
average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20=?
Solution:
First of all, let us find out A(15) and A(20):
Putting t = 15 first,
[tex]A(15) = 5000(1.06)\times 15 ....... (1)[/tex]
Putting t = 20,
[tex]A(20) = 5000(1.06)\times 20 ....... (2)[/tex]
Average rate of change / year is defined as:
[tex]\dfrac{\text{Change in value of A}}{\text{Number of years}}[/tex]
So, required rate of change:
[tex]\dfrac{A(20)-A(15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 20-5000 \times 1.06 \times 15}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times (20-15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 5}{5}\\\Rightarrow 5000 \times 1.06\\\Rightarrow \$5300\ per \ year[/tex]
So, the answer is:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Helppp!!!! please!!!
Simplify: |3r−15| if r<5
Answer:
[tex]|3r-15| = -3r+15[/tex] if [tex]r<5[/tex]
Step-by-step explanation:
Given that:
r < 5
To simplify:
|3r−15|
Solution:
First of all, let us learn about Modulus function:
[tex]f(x) =|x| =\left \{ {x, \ if\ {x>0} \atop -x\ if\ {x<0}} \right.[/tex]
In other words, we can say:
Modulus function has a role to make its contents positive.
If the contents are positive, the result will be equal to its contents only.
If the contents are negative, it will add a negative sign to the contents to make it positive.
Now, let us consider the given condition:
[tex]r < 5[/tex]
Multiply both sides with 3. (As 3 is a positive number, the equality sign will not change.)
[tex]3r < 15[/tex]
Subtracting 15 from both sides:
[tex]3r-15<15-15\\\Rightarrow 3r-15<0[/tex]
Now, we know that [tex]3r-15<0[/tex], let us use the definition of Modulus function.
Add a negative sign to the contents because the contents are already negative.
[tex]\\\Rightarrow |3r-15| = -(3r-15)\\\Rightarrow -3r+15[/tex]
So, the answer is:
[tex]|3r-15| = -3r+15[/tex] if [tex]r<5[/tex]
i mark brainliest for all my questions that are answered right :) thx for helping me
√12 a rational number or an integer?
Answer:
Square root of 12 is a interfering because it isn’t a perfect square.
Answer:
It is an integer.
Step-by-step explanation:
Integers are all types of numbers may it be negative or positive but rational numbers are positive and negative fractions or decimals. So √12 is an integer.
Hope this helps.
A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?
Answer:
"descends"
Step-by-step explanation:
(just had the same question).
Number 20 please answer
Answer:
D
Step-by-step explanation:
the answer is D
Combine the like terms to create an equivalent expression: -n+(-3)+3n+5
Answer: 2n+2
Step-by-step explanation:
1. Remove the parentheses
-n-3+3n+5
2. Collect like terms
2n-3+5
3. Calculate the sum
2n+2
help me pls!! Ill so grateful!! TYSM!
Answer:
Hey there!
We want to change the equation for each line into slope intercept form, or y=mx+b form.
Luckily, the first one is already in slope intercept form.
The second line can be converted to: y=-3/4x-7/4.
The third line can be converted to: -8y=-6x+4, or y=3/4x-1/2
Line one and line two are neither perpendicular or parallel.
Line one and line three are perpendicular.
Lines two and three are neither perpendicular or parallel.
This is because parallel lines have same slope, and perpendicular lines have opposite reciprocal slopes.
Hope this helps :)
Answer:
Line 1 and Line 2: Neither
Line 1 and Line 3: Perpendicular
Line 2 and Line 3: Neither
Step-by-step explanation:
To make the answering process easier, begin by converting each formula into the format y = mx +b:
Line 1: y = -4/3x + 1 (already in format)
Line 2:
-4y = 3x + 7
Divide all terms by -4:
y = -3/4x - 7/4
Line 3:
6x - 8y = 4
Subtract both sides by 6x:
-8y = -6x + 4
Divide all terms by -8:
y = 3/4x - 1/2
We can determine the relationships of the lines:
Line 1 and Line 2: Neither. They do not have the same slope, and they are not opposite reciprocals of each other.
Line 1 and Line 3: Perpendicular. The slopes of each line are opposite reciprocals: (-4/3 and 3/4)
Line 2 and Line 3: Neither. The slopes are the same but one is negative.
Solve for j : j/-2+7=-12 j=?
Answer:
[tex]\huge\boxed{j=38}[/tex]
Step-by-step explanation:
[tex]\dfrac{j}{-2}+7=-12\qquad\text{subtract 7 from both sides}\\\\\dfrac{j}{-2}+7-7=-12-7\\\\\dfrac{j}{-2}=-19\qquad\text{multiply both sides by (-2)}\\\\(-2)\!\!\!\!\!\!\!\diagup\cdot\dfrac{j}{-2\!\!\!\!\!\diagup}=(-2)(-19)\\\\j=38[/tex]
Answer: j = 38
Step-by-step explanation: First isolate j/-2 by subtracting
7 from both sides of the equation.
That gives you j/-2 = -19.
From here, since j is being divided by -2, multiply
both sides of the equation by -2 so j = 38.
Write the equation of a line in SLOPE-INTERCEPT FORM that goes through (7,-3) and (6,-8).
Answer:
y = 5x-38
Step-by-step explanation:
The slope is m = (y2-y1)/(x2-x1)
= (-8 - -3)/(6-7)
= ( -8+3)/(-1)
=-5/-1
=5
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 5x+b
Substitute a point into the equation
-8 = 5(6) +b
-8 = 30+b
-8-30 = 30-30+b
-38 = b
y = 5x-38
Slope formula: y2-y1/x2-x1
-8-(-3)/6-7
-5/-1
5
Find the y-intercept with the formula for slope intercept form.
y = mx + b
-3 = 5(7) + b
-3 = 35 + b
-3 - 35 = 35 - 35 + b
-38 = b
Fill in what we have:
y = 5x - 38
Best of Luck!
Solve the inequality 5(2h + 8) < 60
Step-by-step explanation:
5(2h+8) <60
10h +40< 60
10h + 40-40 < 60-40
10h < 20
10h/10 < 20/10
h < 2
The number of hits to a website follows a Poisson process. Hits occur at the rate of 0.4 per minute between 7:00 P.M. and 10:00 P.M. Given below are three scenarios for the number of hits to the website. Compute the probability of each scenario between 8 : 27 P.M. and 8:31 P.M. Interpret each result. (a) exactly seven (b) fewer than seven (c) at least seven
Answer:
a) Probability of getting exactly 7 hits = 0.001075
b) Probability of getting fewer than seven = 0.999
c) Probability of getting at least seven hits = 0.001
Step-by-step explanation:
The process is a Poisson process.
Rate, [tex]\lambda = 0.4[/tex]
The probability is to be calculated between 8:27 PM and 8:31 PM
t = 4
[tex]\lambda t = 0.4 * 4 = 1.6[/tex]
If the number of hits is represented by X
[tex]P(X = x) = \frac{e^{- \lambda t} (\lambda t)^x}{x!}[/tex]
a) Probability of getting exactly 7 hits
[tex]P(X = x) = \frac{e^{- 1.6} (1.6)^7}{7!}\\P(X= 7) = 0.001075[/tex]
b) Probability of getting fewer than seven
[tex]P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)\\P(X < 7) = e^{- 1.6} [ \frac{1.6^0}{0!} + \frac{1.6^1}{1!} + \frac{1.6^2}{2!} + \frac{1.6^3}{3!} + \frac{1.6^4}{4!} + \frac{1.6^5}{5!} + \frac{1.6^6}{6!} ][/tex]
P(X < 7) = 0.999
c) Probability of getting at least seven hits
[tex]P(X \geq 7) = 1 - P(x < 7)\\P(X \geq 7) = 1 - 0.999\\P(X \geq 7) = 0.001[/tex]
Using the Poisson distribution, it is found that:
a) 0.0011 = 0.11% probability of exactly 7 hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.11% of them will have exactly 7 hits.
b) 0.9985 = 99.85% probability of fewer than seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 99.95% of them will have fewer than 7 hits.
c) 0.0015 = 0.15% probability of at least seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.15% of them will have at least 7 hits.
In a Poisson distribution, the probability is:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.In this problem, we have a mean of 0.4 hits per minute, interval of 4 minutes, thus:
[tex]\mu = 0.4(4) = 1.6[/tex]
The probabilities we are going to use are:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.6}1.6^{0}}{(0)!} = 0.2019[/tex]
[tex]P(X = 1) = \frac{e^{-1.6}1.6^{1}}{(1)!} = 0.3230[/tex]
[tex]P(X = 2) = \frac{e^{-1.6}1.6^{2}}{(2)!} = 0.2584[/tex]
[tex]P(X = 3) = \frac{e^{-1.6}1.6^{3}}{(3)!} = 0.1378[/tex]
[tex]P(X = 4) = \frac{e^{-1.6}1.6^{4}}{(4)!} = 0.0551[/tex]
[tex]P(X = 5) = \frac{e^{-1.6}1.6^{5}}{(5)!} = 0.0176[/tex]
[tex]P(X = 6) = \frac{e^{-1.6}1.6^{6}}{(6)!} = 0.0047[/tex]
[tex]P(X = 7) = \frac{e^{-1.6}1.6^{7}}{(7)!} = 0.0011[/tex]
Item a:
P(X = 7) = 0.0011, thus:
0.0011 = 0.11% probability of exactly 7 hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.11% of them will have exactly 7 hits.
Item b:
This probability is:
[tex]P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
Then, with the values we found:
[tex]P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.2019 + 0.3230 + 0.2584 + 0.1378 + 0.0551 + 0.0176 + 0.0047 = 0.9985[/tex]
0.9985 = 99.85% probability of fewer than seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 99.95% of them will have fewer than 7 hits.
Item c:
This probability is:
[tex]P(X \geq 7) = 1 - P(X < 7) = 1 - 0.9985 = 0.0015[/tex]
0.0015 = 0.15% probability of at least seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.15% of them will have at least 7 hits.
A similar problem is given at https://brainly.com/question/24098004
6 • 14 - (9 + 8) 2 =
Answer:
50
Step-by-step explanation:
For this question you would follow the BIDMAS rule - (Brackets, Indices, Division, Multiplication, Addition, Subtraction.)
The first thing in this question you need to solve it (9 + 8)
we do this because, when we follow BIDMAS, the first rule is brackets
so, 9 + 8 = 17
The second step is to multiply, as this rule is second,
so, 17 x 2 = 34
Our final step is to solve the last bit, which is 6 x 14
and we know that 6 x 14 = 84
So now that we have 84 and 34, we need to subtract the two numbers as shown,
84 - 34 = 50
And this is how you get the answer 50
i hope this has helped you, please comment if you did not understand it and i will explain it in another way : )
Use pemdas
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Do parenthesis first: (9+8)=17
6x14-17x2
Then do multiplication
6x14=84 17x2=34
Now do subtraction
84-34=50
Therefore your answer is 50
HELP ME PLEASE PLEASE IM BEGGING
Answer:
The solution is the triplet: (a, b, c) = (-3, 0, 0)
Step-by-step explanation:
Let's start with the second equation, and solving for "a":
a - b = -3
a = b - 3
Now replace this expression for a in the third equation:
2 a + b = -6
2 (b - 3) +b = -6
2 b - 6 +b = -6
3 b = -6 +6
3 b = 0
b = 0
So if b = 0 then a = 0 - 3 = -3
now we can replace a= -3, and b = 0 in the first equation and solve for c:
2 a - b + c = -6
2 ( -3) - 0 + c = -6
-6+ c = -6
c = -6 + 6
c = 0
Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)