Answer:
A. 32 units
Step-by-step explanation:
First, we need to find all of the side lengths of triangle using distance formula:
[tex]Distance = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Now, we can calculate length of PQ, QR and PR sides by using their vertices and above formula:
[tex]PQ=\sqrt{(-13-(-5))^2+(-3-3)^2} =\sqrt{8^2+6^2}=10[/tex] [tex]QR=\sqrt{(-5-(-13))^2+(-9-(-3))^2} =\sqrt{8^2+6^2}=10[/tex] [tex]PR=\sqrt{(-5-(-5))^2+(-9-3)^2} =\sqrt{0^2+12^2}=12[/tex]For perimeter we add up the length of all of its sides:
[tex]Perimeter = PQ +QR + PR=10+10+12=32[/tex]M^2 = 0.04 how do you solve this
Answer:
[tex]m = 0.2[/tex]
Step-by-step explanation:
To solve this equation we're basically trying to isolate m on one side.
The equation is [tex]m^2=0.04[/tex].
If we want to make it [tex]m=x[/tex], we have to find the square root of both sides, as the square root of something squared is just that something.
[tex]\sqrt{m^2} = \sqrt{0.04}[/tex]
To find the square root of 0.04, we need to think "what number multiplied by itself get us 0.04?"
This number is 0.2.
So:
[tex]m = 0.2[/tex]
Hope this helped!
Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence interval of when estimating the mean height (in centimeters) of a sample of seedlings. The estimated margin of error is nothing. The sample mean is nothing.
Complete Question
A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?
Answer:
The margin of error is [tex]E = 0.7[/tex]
The sample mean is [tex]\= x = 4.2[/tex]
Step-by-step explanation:
from the question we are told that
The upper limit is [tex]k = 4.9[/tex]
The lower limit is [tex]r = 3.5[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{k - r}{ 2}[/tex]
[tex]E = \frac{ 4.9 - 3.5 }{2}[/tex]
[tex]E = 0.7[/tex]
Generally the sample mean is mathematically evaluated as
[tex]\= x = k - E[/tex]
=> [tex]\= x = 4.9 - 0.7[/tex]
=> [tex]\= x = 4.2[/tex]
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested. H0: σ = 8.6 H1: σ < 8.6
Answer:
Test is Left tailed test
Parameter tested is standard deviation
Step-by-step explanation:
We are given the hypothesis as;
Null hypothesis; H0: σ = 8.6
Alternative hypothesis; H1: σ < 8.6
Where;σ is a constant generally known in statistics as the standard deviation.
Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.
Alternative hypothesis says σ < 8.6.
This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.
Thus, it's a left tailed test
I need help ASAP. I need help can someone explain and can anyone tell me the answer please . I’ll give u anything u want
=====================================================
Explanation:
The domain is the set of all real numbers. This is because the graph goes on forever to the left and right. We can use any x value we want as an input. There are no restrictions to worry about such as to prevent dividing by zero errors.
To say "all real numbers" in interval notation, we write [tex](-\infty, \infty)[/tex] which is another way of saying [tex]-\infty < x < \infty[/tex]
-------------------
The range in interval notation is [tex][3, \infty)[/tex] since y = 3 is the smallest y output possible, and we could have larger y values as well. So basically [tex]y \ge 3[/tex] can be used to describe the range without saying much else.
Note the use of a square bracket to include 3 as part of the interval.
-------------------
There are no x intercepts because this graph does not cross the x axis. The lowest point is at (-2,3) so there's no way we could reach y = 0. Put another way, y = 0 is not part of the range so we cannot have any x intercepts.
There is one y intercept and it is at (0,7) where the graph crosses the y axis. For any function, the max number of y intercepts is 1.
-------------------
When it says "interval positive", its asking "which part(s) of the graph are above the x axis?". That would be the entire graph meaning we have the interval [tex](-\infty, \infty)[/tex]. Every point on this V shaped curve is of the form (x,y) where y is positive.
So this means that we do not have any points with a negative y value, and therefore the answer to "interval negative" is none.
-------------------
Now onto the "interval increasing". This is similar to the previous section, but now we're looking when the graph is going uphill as we read from left to right. This happens on the interval [tex](-2, \infty)[/tex] or put another way when x > -2.
The graph goes downhill whenever x < -2. So that's why the answer for the "interval decreasing" is [tex](-\infty, -2)[/tex]
-------------------
Note the points (-2,3) and (0,7) are on the V shaped graph. These points have x coordinates of x = -2 and x = 0, which are the endpoints of the interval we're focusing on.
Compute the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = (7-3)/(0-(-2))
m = (7-3)/(0+2)
m = 4/2
m = 2
The positive slope means the line goes uphill as we read from left to right
The average rate of change on the interval [-2, 0] is the value 2
In other words, we go up 2 units each time we move to the right 1 unit.
Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?
Answer:
6/36 (16.667%)
Step-by-step explanation:
Answer:
5/36
Step-by-step explanation:
write an equation in point-slope form for the line through the given point with the given slope (10,-9);m=-2
Answer:
The answer is
[tex]y + 9 = - 2(x - 10)[/tex]Step-by-step explanation:
To find the equation of a line given a point and slope we use the formula
y - y1 = m(x - x1)where
m is the slope
( x1 , y1) is the point
From the question
Slope / m = - 2
The point is ( 10, - 9)
Substitute the values into the above formula
That's the final answer is
[tex]y + 9 = - 2(x - 10) [/tex]Hope this helps you
Select the correct answer.
Terrell is moving boxes in a freight elevator. Each box weighs about 25 pounds. For safety reasons, a maximum of 600 pounds can be on
the elevator at one time, including Terrell and his equipment at a total of 225 pounds.
Which graph represents the number of boxes Terrell can load into the freight elevator at one time?
Answer:
The third one
Step-by-step explanation:
600-225 (the weight of Terrell and his equipment)
=375
375/25(weight of each box)
=15
the circle is close because it can be exactly 15 or or less.
Answer:
actually is 2
Step-by-step explanation:
its not 1 or 3, its 2 I did clicked 3 got it wrong then I clicked one and got it wrong, its 2
johnny makes $8.25 an hour working at the local restaurant his paycheck shows that he works 29.5 hours for the past week how much did Johnny make not rounded to the nearest cent A: $232.125 B: $243.375 C: $247.525 D: $248.625 NEED ANSWERS ASAP
Answer:
$243.375
Step-by-step explanation:
multiply 8.25 by 29.5
Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.
Please explain as well.
Answer:
8.9 is the answer i just took the test
Find the value of z.
Answer:
C. [tex] z = 82 [/tex]
Step-by-step explanation:
To find z, find x first:
[tex] 105 = \frac{1}{2}(x + 120) [/tex] (angle of intersecting chord theorem)
Solve for x
[tex] 105*2 = \frac{1}{2}(x + 120)*2 [/tex]
[tex] 210 = x + 120 [/tex]
[tex] 210 - 120 = x + 120 - 120 [/tex]
[tex] 90 = x [/tex]
[tex] x = 90 [/tex]
Find z:
Full circle = 360°
Therefore,
[tex] x + z + 68 + 120 = 360 [/tex]
[tex] 90 + z + 68 + 120 = 360 [/tex]
[tex] z + 278 = 360 [/tex]
[tex] z + 278 - 278 = 360 - 278 [/tex]
[tex] z = 82 [/tex]
Sean and Hannah are 540 inches apart and begin walking towards each other. Sean walks 2.6 times as fast as Hannah. Let x represent the distance Hannah has walked (in inches) and y represent the distance (in inches) between Hannah and Sean.
Answer:
Distance covered by Sean
= 540-x-y inches
Distance covered by Hannah =x
Step-by-step explanation:
Sean and Hannah are 540 inches apart and begin walking towards each other. Sean walks 2.6 times as fast as Hannah
Distance covered by Hannah =x
Distance between sean and Hannah= y
Distance covered by Sean= 540-x-y
Sean speed= (540-x-y)/t
Hannah speed= x/t
(540-x-y)/t /(x/t )= 2.6
(540-x-y)/x = 2.6
(540-x-y)= 2.6x
540 = 3.6x +y ...
Will mark the brainliest!!!!
Answer:
options a is correct
4/7 likely
Probability = Favourable outcomes/ Total outcomes
All outcomes that we have are = 1,2,3,4,5,6,7,8
→ Total outcomes are 8 .
Favourable outcomes are = 1,3,5,7
→ Favourable outcomes are 4.
P(odd) = 4 divided by 8
→ P( odd) is 1/2 , 50% , equally likely.
So option 2nd is correct .
Which two complex numbers when added together and written in standard form equal 10-3i?
Answer:
A -3 − 4i C 13 + i
Step-by-step explanation:
We add the real part and the imaginary part separately.
Adding A and C will give us 10 - 3i:
-3 - 4i + 13 + i
= -3 + 13 - 4i + i
= 10 - 3i.
5/8 dived by 3/5
Help please
Answer:
5/6
Step-by-step explanation:
you must flip 3 over 5 and multiply
Which graph represents the function p(x) = |x – 1|?
Answer:
it is this graph
Step-by-step explanation:
it is this graph
Answer:
B
Step-by-step explanation:
in a right angle triangle h is 24 . perimeter 45. find both side
Answer:
The length of each side is 10.5
Step-by-step explanation:
If you mean h as in the hypotenuse:
perimeter= 45 side h= 24 find x
45 - 24 = 2x
21 = 2x
/2 /2
10.5 = x
Is (5,2) a solution of the graphed system of inequalities
Answer:
yes
Step-by-step explanation:
how many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45 , 4 are selected from a block of 57 and the others are selected form the remaining 69 countries
Answer:
The value is [tex]Z = 6.299*10^{16} \ ways[/tex]
Step-by-step explanation:
From the question we are told that
The number of countries is n = 12
Generally the number of way of selecting 3 from a block of 45
[tex]\left 45} \atop {}} \right.C _3 = \frac{ 45! }{ (45-3) ! 3!}[/tex]
[tex]\left 45} \atop {}} \right.C _3 = 14190[/tex]
Generally the number of way of selecting 4 from a block of 57
[tex]\left 57} \atop {}} \right.C _3 = \frac{ 57! }{ (57-4) ! 4!}[/tex]
[tex]\left 57} \atop {}} \right.C _3 = 395010[/tex]
Generally the number of way of selecting (12 - (4 + 3) = 5) from a block of 69
[tex]\left 69} \atop {}} \right.C _5 = \frac{ 69! }{ (69-5) ! 5!}[/tex]
[tex]\left 69} \atop {}} \right.C _3 = 11238513[/tex]
The ways of selecting 12 countries in the United Nations serve on a council is mathematically represented as
[tex]Z = 14190 * 395010* 11238513[/tex]
[tex]Z = 6.299*10^{16} \ ways[/tex]
Simplify the expression. : 5 + 4 x (8 - 6) square
Answer:
8x+5
Step-by-step explanation:
8-6=2
2× 4x= 8x
8x+5
Answer:
[tex] \boxed{ \huge{ \bold{ \sf{ \boxed{21}}}}}[/tex]Step-by-step explanation:
Use PEMDAS rule :
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
Let's solve :
[tex] \sf{5 + 4 \times {(8 - 6)}^{2} }[/tex]
⇒[tex] \sf{5 + 4 \times {2}^{2} }[/tex]
⇒[tex] \sf{5 + 4 \times 4}[/tex]
⇒[tex] \sf{5 + 16}[/tex]
⇒[tex] \sf{21}[/tex]
Hope I helped!
Best regards!
please help me i will mark brainliest
Answer:
see below
Step-by-step explanation:
The cube of something to the 1/3 power is the original something. The cube of a cube root of something is the original something. Since the cube of a cube root is the same as the cube of a 1/3 power, the 1/3 power is equivalent to the cube root.
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
Use the map below to find the distance between cities A and B to the nearest tenth.
Answer:
7.8
Step-by-step explanation:
Answer:
The answer is 3.6
Step-by-step explanation:
d=[tex]\sqrt{(2-0)^{2}+(3-0)^{2} }[/tex]
d=[tex]\sqrt{(2)^{2}+(3)^{2} }[/tex]
d=[tex]\sqrt{4+9}[/tex]
d=[tex]\sqrt{13}[/tex]
d=3.6
Use the given confidence interval limits to find the point estimate and the margin of error E.
0.475
Answer:
The point estimate = 0.507
Margin error of a given confidence interval = 0.032
Step-by-step explanation:
The point estimate is calculated by using the sample statistics of a population.
Thus; point estimate can be expressed with the formula:
[tex]\overline x = \dfrac{\sum \limits ^n _{i=1} \ x _i}{n}[/tex]
Given that : 0.475 < p < 0.539
[tex]\overline x = \dfrac{0.475+0.539}{2}[/tex]
[tex]\overline x = \dfrac{1.014}{2}[/tex]
[tex]\overline x = 0.507[/tex]
The point estimate = 0.507
The margin of error which shows the percentage of points that the derived results would differ from that of the given population value can be calculated with the formula:
Margin error of a given confidence interval = [tex]\mathtt{\dfrac{upper \ confidence \ limit - lower \ confidence \ limit }{2}}[/tex]
Margin error of a given confidence interval = [tex]\dfrac{0.539-0.475}{2}[/tex]
Margin error of a given confidence interval = [tex]\dfrac{0.064}{2}[/tex]
Margin error of a given confidence interval = [tex]0.032[/tex]
Several books are placed on a table. These books have a combined weight of 25 N and cover an area of 0.05 m2. How much pressure do the books exert on the table? The pressure the books apply to the table top is __ Pa. please need help!!
Answer:
500 pa
Step-by-step explanation:
[tex]Force = 25N\\Area = 0.05m^2\\\\Pressure = \frac{Force}{Area}\\ \\Pressure = \frac{25}{0.05}\\\\ Pressure = 500 Pascals[/tex]
QUIZ 2: Learning about
The symbols used to enclose the elements of a set are called:
parenthesis
braces
commas.
What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? 20 32 44 48
Answer:
the answer is c: 44
hope it helps
:)
The value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8 is 44.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The equation form;
1/2m - 3/ 4n = 16
Substituting the value of n in the equation, we have;
½m - ¾n = 16
½m - (¾×8) = 16
½m - 6 = 16
½m = 16 + 6
½m = 22
m = 44
Hence, The value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8 is 44.
Learn more about linear equations;
https://brainly.com/question/10413253
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find the measure of angle C in the parallelogram. Round your answer to the nearest degree
Answer:
75°
Step-by-step explanation:
In a parallelogram, any two adjacent angles are supplementary. In other words, they total 180.
Angle D and Angle E are adjacent. Thus, they are supplementary. In other words:
[tex]\angle D +\angle E =180[/tex]
Substitute them for the equations:
[tex]7x+21+15+5x=180[/tex]
Combine like terms and add on the left:
[tex]12x+36=180[/tex]
Subtract 36 from both sides:
[tex]12x=144[/tex]
Divide both sides by 12:
[tex]x=12[/tex]
Thus, the value of x is 12.
Note that Angle D and Angle C are also adjacent. Thus, their angles also equal 180.
So:
[tex]\angle D+\angle C =180[/tex]
Substitute the equation for D:
[tex]7x+21+\angle C=180[/tex]
Plug in 12 for x:
[tex]7(12)+21+\angle C =180[/tex]
Simplify:
[tex]84+21+\angle C =180\\105+\angle C =180[/tex]
Subtract 105 from both sides:
[tex]\angle C =75\textdegree[/tex]
Thus, Angle C is 75 degrees.
48+4^2+3/5
Help me it asks to evaluate
Answer:
325/3
Step-by-step explanation:
[tex]48+4^2+\frac{3}{5}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:48=\frac{48\cdot \:5}{5}\\\\=\frac{48\cdot \:5}{5}+\frac{3}{5}\\\\\mathrm{Since\:the\:denominators\:are\:equal,\\\\\:combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{48\cdot \:5+3}{5}\\\\48\cdot \:5+3=243\\\\=4^2+\frac{243}{5}\\\\=16+\frac{243}{5}\\\\=\frac{16\cdot \:5}{5}+\frac{243}{5}\\\\=\frac{16\cdot \:5+243}{5}\\\\16\cdot \:5+243=323\\\\=\frac{323}{5}[/tex]
The domain and target set of functions f and g isR. The functions are definedas:(b)•f(x) = 2x+ 3•g(x) = 5x+ 7(a)f◦g?(b)g◦f?(c) (f◦g)−1?(d)f−1◦g−1?(e)g−1◦f−1?
Answer:
Step-by-step explanation:
Given the domain and target set of functions f and g expressed as;
f(x) = 2x+3 an g(x) = 5x+7 we are to find the following;
a) f◦g
f◦g = f[g(x)]
f[g(x)] = f[5x+7]
To get f(5x+7), we will replace the variable x in f(x) with 5x+7 as shown;
f(x) = 2x+3
f(5x+7) = 2(5x+7)+3
f(5x+7) = 10x+14+3
f(5x+7) = 10x+17
Hence f◦g = 10x+17
b) g◦f
g◦f = g[f(x)]
g[f(x)] = g[2x+3]
To get g(2x+3), we will replace the variable x in g(x) with 2x+3 as shown;
g(x) = 5x+7
g(2x+3) = 5(2x+3)+7
g(2x+3) = 10x+15+7
g(2x+3) = 10x+22
Hence g◦f = 10x+22
c) For (f◦g)−1 (inverse of (f◦g))
Given (f◦g) = 10x+17
To find the inverse, first we will replace (f◦g) with variable y to have;
y = 10x+17
Then we will interchange variable y for x:
x = 10y+17
We will then make y the subject of the formula;
10y = x-17
y = x-17/10
Hence the inverse of the function
(f◦g)−1 = (x-17)/10
d) For the function f−1◦g−1
We need to get the inverse of function f(x) and g(x) first.
For f-1(x):
Given f(x)= 2x+3
To find the inverse, first we will replace f(x) with variable y to have;
y = 2x+3
Then we will interchange variable y for x:
x = 2y+3
We will then make y the subject of the formula;
2y = x-3
y = x-3/2
Hence the inverse of the function
f-1(x) = (x-3)/2
For g-1(x):
Given g(x)= 5x+7
To find the inverse, first we will replace g(x) with variable y to have;
y = 5x+7
Then we will interchange variable y for x:
x = 5y+7
We will then make y the subject of the formula;
5y = x-7
y = x-7/5
Hence the inverse of the function
g-1(x) = (x-7)/5
Now to get )f−1◦g−1
f−1◦g−1 = f-1[g-1(x)]
f-1[g-1(x)] = f-1(x-7/5)
Since f-1(x) = x-3/2
f-1(x-7/5) = [(x-7/5)-3]/2
= [(x-7)-15/5]/2
= [(x-7-15)/5]/2
= [x-22/5]/2
= (x-22)/10
Hence f−1◦g−1 = (x-22)/10
e) For the composite function g−1◦f−1
g−1◦f−1 = g-1[f-1(x)]
g-1[f-1(x)] = g-1(x-3/2)
Since g-1(x) = x-7/5
g-1(x-3/2) = [(x-3/2)-7]/5
= [(x-3)-14)/2]/5
= [(x-17)/2]/5
= x-17/10
Hence g-1◦f-1 = (x-17)/10
Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Your coordinates would be:
(1,8) (1,5) (5,8)
Hope this helps!
Answer:
Actually its (1,8) (1,5) (6,8)
Step-by-step explanation:
The red part is incorrect, the orange is the correct one. I got it wrong.
In a two digit number, the tens digit is twice the ones digit.The difference of the ones digit and half the tens digit is 0
Answer:
C: infinitely many solutions
Step-by-step explanation: