The graph represents a rotation transformation
What is the measure of the third side of a triangle below where P is the measure of the perimeter? 2x-3y x+2y p=5x+2y
Answer:
[tex]2x + 3y[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]P = 5x + 2y[/tex]
Sides: [tex]2x - 3y[/tex] and [tex]x + 2y[/tex]
Required
The measure of the third side
The perimeter of a triangle is the sum of all three sides;
Let the third side be represented by Side3
Hence;
[tex]Side3 + 2x - 3y + x + 2y = 5x + 2y[/tex]
Collect like terms
[tex]Side3 + 2x + x - 3y + 2y = 5x + 2y[/tex]
[tex]Side3 + 3x - y = 5x + 2y[/tex]
Collect like terms
[tex]Side3 = 5x + 2y - 3x + y[/tex]
[tex]Side3 = 5x - 3x + 2y + y[/tex]
[tex]Side3 = 2x + 3y[/tex]
Hence, the measure of the third side is 2x + 3y
Pls somebody can help me?
What is the domain of f(x) = (1/2)^x ?
Answer:
all real numbers
Step-by-step explanation:
Answer:
C. All real numbers
Step-by-step explanation:
x goes forever in both the positive and negative directions, so the domain is all real numbers.
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,075 and a standard deviation of $300. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 55 one-bedroom apartments and finding the mean to be at least $1,985 per month
Answer:
Probability is 1
Step-by-step explanation:
We are given;
mean;μ = $2,075
Standard deviation;σ = $300
n = 55
x' = $1,985
Now, we want to find x' to be at least $1,985 which is P(x' > $1,985).
The z-value is calculated from;
z = (x' - μ)/(√σ/n)
Plugging in the relevant values;
z = (1985 - 2075)/(√300/55)
z = -38.536
So, P(x' > $1,985) = P(z > -38.536)
This transforms to;
P(z < 38.536)
Probability from z distribution table is 1
Write the equation in exponential form. Assume that all constants are positive and not equal to 1.
1) log2 16=4
2) log16 2=1/4
Write the equation in logarithmic form. Assume that all variables are positive and not equal to 1.
2^z=y
Answer:
1. [tex]16 = 4^2[/tex]
2. [tex]2 = {16}^{\frac{1}{4}}[/tex]
3. [tex]log_2 y=z[/tex]
Step-by-step explanation:
[tex]1.\ log_2 16=4[/tex]
Write in exponential form
Using the law of logarithm which says if
[tex]log_b A=x[/tex]
then
[tex]A = b^x[/tex]
By comparison;
A = 16; b = 2 and x = 4
The expression [tex]log_2 16=4[/tex] becomes
[tex]16 = 4^2[/tex]
[tex]2.\ log_{16} 2=\frac{1}{4}[/tex]
Write in exponential form
Applying the same law as used in (1) above;
A = 2; b = 16 and [tex]x = \frac{1}{4}[/tex]
The expression [tex]log_{16} 2=\frac{1}{4}[/tex] becomes
[tex]2 = {16}^{\frac{1}{4}}[/tex]
[tex]3.\ 2^z=y[/tex]
Write in logarithm form
Using the law of logarithm which says if
[tex]b^x =A[/tex]
then
[tex]log_b A=x[/tex]
By comparison;
b = 2; x = z and A = y
The expression [tex]2^z=y[/tex] becomes
[tex]log_2 y=z[/tex]
The given equations written in exponential or logarithmic form as the case is is;
1) 2⁴ = 16
2)16^(¼) = 2
3) Log_2_y = z
Usually in logarithmic exponential functions expressions;
When we have;
Log_n_Y = 2
It means that; n² = Y
Applying that same principle to our question means that;
1) log_2_16 = 4
This will now be;
2⁴ = 16
2) log_16_2 = ¼
This will now be;
16^(¼) = 2
3) For 2^(z) = y
We have;
Log_2_y = z
Read more about properties of logarithmic exponents at; https://brainly.com/question/10005276
Calculate the length of WZ to the nearest tenth of a centimetre. Show all of your
work for a full mark. (HINT: this is a two-steps problem)
Answer:
WZ ≈ 16.4 cm
Step-by-step explanation:
Step 1: Find length XZ
tan40° = XZ/15
15tan40° = XZ
XZ = 12.5865
Step 2: Find WZ
sin50° = 12.5865/WZ
WZsin50° = 12.5865
WZ = 12.5865/sin50°
WZ = 16.4305
WZ ≈ 16.4 cm
The table below shows the distance a car travels and the amount of gasoline left in the tank of the car. Distance Traveled and Gas Left in Tank Distance Traveled (in miles) 0 90 180 270 Amount of Gas Left in Tank (in gallons) 15 12 9 6 PLZ HELP How many gallons of gasoline does the car have left after it has traveled 330 miles? 2 4 6 8
Answer:
b: 4
Step-by-step explanation:
i took the test on edge 2020
The gallons of gasoline the car has left after it has traveled 330 miles is 4 gallons so option (B) will be correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given the table of the number of miles and gallons.
If we take two points of the number of miles and gallons.
Then,
1 st point = ( 0 ,15 )
2 nd point = ( 90 , 12)
Now since the relation is linear which can be seen by data.
So,
Linear equation joining points 1st and 2nd is
y - 15 = [(12-15)/(90-0)](x - 0)
y - 15 = -x/30
y = (450 - x)/30
So,
At x = 330 miles
y = (450 - 330 )/30
y = 4 gallons
Hence "The gallons of gasoline the car has left after it has traveled 330 miles is 4 gallons".
For more about the equation,
https://brainly.com/question/10413253
#SPJ2
Question 8 (5 points)
Find the zero of 5x - 20 = 0.
O a) 4
Ob) -20
3
Oc) 0
O d) 5
Answer:
x=4
Step-by-step explanation:
5x - 20 = 0
Add 20 to each side
5x = 20
Divide by 5
5x/5 = 20/5
x =4
The zero is when x = 4
Answer:
a) 4
Step-by-step explanation:
To find the zero of 5x - 20 = 0, find the value of x.
5x - 20 = 0
Add 20 to both sides.
5x - 20 + 20 = 0 + 20
5x = 20
Divide both sides by 5.
(5x)/5 = 20/5
x = 4
The zero of 5x - 20 = 0 is 4.
Find the value of x for which p ll q.
Answer:
x = 9
Step-by-step explanation:
If p and q are parallel lines then the two angles are alternate interior angles and are equal
9x +8 = 15x - 46
Subtract 9x from each side
9x-9x +8 = 15x -9x - 46
8 = 6x - 46
Add 46 to each side
54 = 6x
Divide by 6
54/6 = 6x/6
9 =x
Answer:
D is the answerExplanation:
This is because you have to first make the equations equal to each other. You do this because you can see that the angles are equal to each other meaning that they are the same amount of degrees. So the equation you will have is (9x + 8) = (15x - 46).
9x + 8 = 15x - 46
You can take off the parenthesis.
Subtract 8 from both sides.
This will lead to
9x = 15x - 54
Then you have to subtract 15x from both sides.
This will have a result of
-6x = -54
When you do this you can see that there are 2 negatives. You can cancel these out. So it will look like
6x = 54
Finally, you have to simplify. Divide both sides by 6.
54/6 = 9 6x/6 = x
The final result is
x = 9So, it can be concluded that the answer is the letter D or the number 9.
Hope this helped
I will give brainliest and thanks
Answer: 8.6602540378
Step-by-step explanation:
Based on pythagorean’s theorem we have:
[tex]\sqrt{14^{2}-11^{2} } =\sqrt{75}=8.66025[/tex]
10) BRAINLIEST & 10+ POINTS!
Answer:
Complementary angles are angles that add up to 90°
To find the complementary angle for an angle of 70° subtract it from 90°
That's
90° - 70° = 20
Hope this helps
Answer:
20
Step-by-step explanation:
Complementary angles add to 90 degrees
70 +x = 90
Subtract 70 from each side
70+x-70 = 90-70
x = 20
The complement is 20
Hello, can someone help me with this problem?
Answer:
Area of Rectangle A
[tex]Area = 4x^2[/tex]
Area of Rectangle B
[tex]Area = 2x^2[/tex]
Fraction
[tex]Fraction =\frac{2}{3}[/tex]
Step-by-step explanation:
From the attached, we understand that:
The dimension of rectangle A is 2x by 2x
The dimension of rectangle B is x by 2x
Area of rectangle is calculated as thus;
[tex]Area = Length * Breadth[/tex]
Area of Rectangle A
[tex]Area = 2x * 2x[/tex]
[tex]Area = 4x^2[/tex]
Area of Rectangle B
[tex]Area = x * 2x[/tex]
[tex]Area = 2x^2[/tex]
Area of Big Rectangle
The largest rectangle is formed by merging the two rectangles together;
The dimension are 3x by 2x
The Area is as follows
[tex]Area = 2x * 3x[/tex]
[tex]Area = 6x^2[/tex]
The fraction of rectangle A in relation to the largest rectangle is calculated by dividing area of rectangle A by area of the largest rectangle;
[tex]Fraction = \frac{Rectangle\ A}{Biggest}[/tex]
[tex]Fraction =\frac{4x^2}{6x^2}[/tex]
Simplify
[tex]Fraction =\frac{2x^2 * 2}{2x^2 * 3}[/tex]
[tex]Fraction =\frac{2}{3}[/tex]
Find the exact value of sin(u-v) given that sin u= 5/13 and sin v= 12/13
with u and vin quadrant I.
sin(u - v) =
(Type an integer or a simplified fraction.)
Answer:
Sin(u-v)= (-119/169)
Step-by-step explanation:
Sin(a-b)= Sinacosb-cosasinb
Sin(u-v)= sinucosv-cosusinv
Sinu= 5/13
U = sin^-1(5/13)
U= 22.62
Sinv= 12/13
V= sin^-1(12/13)
V= 67.38
Fr right angle triangle
If sin u = 5/13
Cos u = 12/13
If sin v = 12/13
Cos v= 5/13
Sin(u-v)= sinucosv-cosusinv
Sin(u-v)=(5/13)*(5/13) -(12/13)*(12/13)
Sin(u-v)= 25/169 - 144/169
Sin(u-v) = (25-144)/169
Sin(u-v)= (-119/169)
Please help me and my daughter
Answer:
a. Linear
Step-by-step explanation:
The difference is equal between y- values (0.480)
So it is linear change and linear function
Answer:
Linear
Step-by-step explanation:
The hypothese is the function is linear. Lets prove it .
If we divide the difference of 2 any function's values by the difference of the corresponding argument's values we will get the same ratio 0.48(for instance 19.210-18.250=0.96 delete be 2-0=2 will get 0.48) .
Lets calculate any other pair of y (function) and x ( argument) :
(20.170-18.730)/(4-1)=1.44/3=48 as we can see we'll get the same ratio 0.48.
That means that function is linear
1. Define: Denominator
Answer:
This is an arithmetic fraction written under the line that indicates the equal part, the divisor.
Step-by-step explanation:
Answer:denominator is the lower part of a fraction.
Step-by-step explanation:
Feel pleasure to help u...
Determine the relation of AB and CD given the following points: A (3,-4), B (5.-7), C (8,3), and D (6,6).
Answer:
Step-by-step explanation:
To find the relationship between the given lines, we have to find the slope of both lines using slope formula, which is
So for AB, we will get
And for CD , we will get
Since the slopes of the two lines are equal , and when slopes are equal , lines are parallel .
13) BRAINLIEST &10+ POINTS!
Answer:
- 220° and 500°
Step-by-step explanation:
To find the coterminal angles add / subtract 360°, that is
140° - 360° = - 220°
140° + 360° = 500°
Answer:
- 220° and 500°
Step-by-step explanation:
A defunct website listed the "average" annual income for Florida as $35,031. What is the role of the term average in statistics? Should another term be used in place of average? Choose the correct answer below. A. The term average is not used in statistics. The term median should be used for the result obtained by adding all of the sample values and dividing by the total number of sample values. B. The term average is often used in statistics to represent the mean. C. The term average is not used in statistics. The term mean should be used for the result obtained by adding all of the sample values and dividing by the total number of sample values. D. The term average is often used in statistics to represent the median.
Answer:
C. The term average is not used in statistics. The term "mean" should be used for the result obtained by adding all of the sample values and dividing by the total number of sample values.
Step-by-step explanation:
In colloquial language, the average is the result obtained when we add all the sample values and divide by the total number of sample values.
However, in statistics, the term which is used to represent this calculation is the "mean" of the sample data. The term average is not used.
The correct option is C.
Find the value of x. Then find the measure of each labeled angle. x = 37.5; the labeled angles are 77.5º and 102.5º. x = 37.5; the labeled angles are 37.5º and 142.5º. x = 15; both labeled angles are 55º. x = 25; both labeled angles are 65º.
Answer:
x = 25; both labeled angles are 65º
Step-by-step explanation:
To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.
In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.
Thus,
(3x - 10)° = (x + 40)°
Solve for x
3x - 10 = x + 40
Subtract x from both sides
3x - 10 - x = x + 40 - x
3x - x - 10 = x - x + 40
2x - 10 = 40
Add 10 to both sides
2x - 10 + 10 = 40 + 10
2x = 50
Divide both sides by 2
2x/2 = 50/2
x = 25
*Plug in the value of x to find the measure of each labelled angles:
(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°
(x + 40)° = 25 + 40 = 65°
Uncle Louise is at least 1 inch shorter than Miriam, and at least 2 inches taller than Jeffery. Jeffery's height is 64 inches. Miriam is not more than 5 inches taller than Jeffery. Which answer could be Uncle Louise's height? Please answer!!!
Answer:
67 inches
Step-by-step explanation:
Let's call the height of Louise 'L', the height of Miriam 'M' and the height of Jeffery 'J'.
Then, we can write the following equations and inequations:
[tex]L \leq M - 1[/tex]
[tex]L \geq J + 2[/tex]
[tex]J = 64[/tex]
[tex]M \leq J + 5[/tex]
Substituting J in the second and four inequations, we have:
[tex]L \geq 66[/tex]
[tex]M \leq 69[/tex]
If we assume the maximum value for M, in the first inequation we have that:
[tex]L \leq 68[/tex]
So the height of Uncle Louise is greater than or equal 66, and lesser than or equal 68, so his height could be 67 inches for example.
What are the side of triangle PWR
Answer:
PR, PW, RW
Step-by-step explanation:
The sides of a triangle are named by naming the vertices at either end.
Triangle PWR has vertices P, W, R. The sides connecting these are named ...
PW, WR, RP
Any name can have the letters reversed. That is, PR names the same segment that RP does.
find the missing side length ?= ______
Answer:
24
Step-by-step explanation:
Here we will use Thales theorem : X is the missing side
20/X= 15/18X= (20*18)/15 = 24Convert 9 feet to inches
Answer: 108 inches
Step-by-step explanation: The answer would be 108 inches because if you multiply the number that coverts a inch into a foot it would be 12 because 12 inches is equivalent to 1 foot. So you know that 1 foot is equal to 12 inches so you multiply the number of feet by 12. You expression is 9 times 12 and after you multiply the two numbers you get 108 inches.
Answer: 108 inches
Step-by-step explanation: To convert 9 feet into inches, we use the conversion factor for feet and inches which is 12 inches = 1 foot.
Next, notice that we're going from a
larger unit, feet, to a smaller unit, inches.
When we go from a larger unit to a smaller unit, we
multiply 9 by the conversion factor, 12 to get 108.
So 9 feet = 108 inches.
A company is divided into 50,000 shares. An investor purchases 1,000 shares. What percent of the company does the investor own?
Answer:
Step-by-step explanation:
percentage is per 100.
If we have to find x as percentage of y then
formula for percentage is given by = x/y*100
_______________________________________________
Given
total no. of shares = 50,000
Share bought by investor = 1,000
Percentage of share bought by investor
= Share bought by investor/total no. of shares *100
= (1000/50000)*100 = 2%.
It means that if there are 100 shares for company then investor owns 2 shares of the company. This makes the qualitative analysis easy.
2% percent of the company does the investor own.
Herschel uses an app on his smartphone to keep track of his daily calories from meals. One day his calories from breakfast were more than his calories from lunch, and his calories from dinner were less than twice his calories from lunch. If his total caloric intake from meals was , determine his calories for each meal.
Answer:
let the number of calories from lunch be called L. As such, breakfast is then L + 128, and dinner is 2L - 400. We can then sum the three meals and equate it to the total caloric intake, the known value of 1932.
So: 1932 = L + L + 128 + 2L - 400 = 4L - 272.
Lunch = 551
Breakfast = 551 + 128 = 679
Dinner = 2*551 - 400 = 702
Find the lateral area of the prism. Use the 10 by 6 rectangle as the base.
5 ft
6 ft
9 ft
Answer:
lateral area =150 square feet
Step-by-step explanation:
lateral area =(perimieter of prism base) times the height of the prism
so, the perimeter of the base is 9 ft*2 + 6 ft*2 which equals 30 ft
then you multiply the perimeter of the base by the height of the prism
so, height of prism =5 ft, so 5 ft times 30 ft =150 feet
therefor, the lateral area of the prism = 150 feet squared
If x is a binomial random variable with n trials and success probability p , then as n gets smaller, the distribution of x becomes
Answer:
If the value of n gests smaller then the distribution of X would be more skewed, that's a property of the binomial distribution
Step-by-step explanation:
For this problem we are assumeing that the random variable X is :
[tex] X \sim Bin(n,p)[/tex]
If the value of n gests smaller then the distribution of X would be more skewed, that's a property of the binomial distribution and if we don't satisfy this two conditions:
[tex] n p>10[/tex]
[tex]n(1-p) >10[/tex]
Then we can't use the normal approximation
NEED UGANT HELP pls help me
An event that is impossible has a probability of 0
An event that is certain to happen has a probability of 1
The probability scales from 0 to 1, referring from no chance to will happen.
Which choice correctly expresses the number below in scientific notation?
5,790,000
A) 5.79 • 10^7
B) 579 • 10^4
C) 57.9 • 10^5
D) 5.79 • 10^6
E) 579 • 10^6
F) 5.79 • 10^5
Answer:
D
Step-by-step explanation:
In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.
how do you begin isolate the variable x to one side of the equation -22+ 3x
Answer:
The first step would be to add 22 to both sides to the equation.
Simplify the slope of BD
Answer:
Slope of BD
Using B( b , c ) and D(a ,0)
Slope = 0 - c / a - b
= - c / a - b
Hope this helps you
the answer is : c / a - b
you use B( b , c ) and D(a ,0)