Step-by-step explanation:
divide the figure into a square and a rectangle
the area of the figure (S) is the sum of the square ( A) and the rectangle (B)
A = 3*3 = 9
B = 7*5 = 35
So S = A+B = 35 +9 =44
Answer:
44cm^2
Step-by-step explanation:
So you can first find the area of the top box by doing 3x3 (square) and than adding the area of the bottom box by doing 7x5 (rectangle).
The way I got 3x3 is because if you look at the bottom the total length is 7. Above that horizontal line is the number 4 and 3. You use the number 3 as it is part of the square.
No the way I got 7x5 is if you look at the right side the full length is 8. In front of that is the vertical line having the number 3. In order to figure out the side length for the bottom part you need to do 8-3. You than get 5 which is your side length for the far-left vertical line.
Now if you do the area of the square + the area of the rectangle you get the full area of the figure:
(3x3) + (7x5)
9 + 35
44
hope this helps! :)
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
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 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°
uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimeters and a height of 7 centimeters. She plans to cut out 68 triangles with these dimensions. What will be the total area of the triangles?
10 POINTS! please answer with explanation
Answer:
1,190cm²Step-by-step explanation:
The Area of a triangle is expressed as 1/2 * base * height. If uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimetres and a height of 7 centimetres, area of the blanket will be expressed as shown;
Area of the blanget = 1/2 * 7 * 5
Area of a blanket = 35/2 = 17.5cm²
If she plans to cut out 68 triangles with these dimensions, the total area will be total number of triangles * area of one triangle i.e 68 * 17.5 = 1,190cm²
Suppose a data sets is generated by sampling examples uniformly at random from r spherical gaussians with an std of 1. In which cases is Kmeans with Kmeans initialization likely to be significantly better than Kmeans with standard initialization?
a. The clusters are very close each other.
b. The clusters are far from each other.
c. r is large.
d. r is small
e. All clusters have equal probability
f. One cluster has much higher probability than the others.
Answer:
B. The clusters are far from each other.
Step-by-step explanation:
When there is several variation in the cluster, we use the Kmeans ++ initialization, therefore the correct answer is option B
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
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...
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.
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.
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 = 24What is slope of line f?
Answer:
2/5
Step-by-step explanation:
We can find the slope using two points
(0,0) and (5,2)
m = (y2-y1)/(x2-x1)
= (2-0)/(5-0)
= 2/5
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.
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
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
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
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
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)
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.
Convert 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 program reads as follows:
age < 2:
if
print ("free admission")
elif 2 age < 12:
print ("children's admission is $5")
elif 12 çage 3 22:
print ("student admission is $8")
elif age > 22:
print ("general admission is $10")
If the age of the ticket buyer is entered as 13, how many steps would the program run through be
The program goes through the following steps when the input is 13
step 1) check to see if the age is less than 2. It is not, so we move on
step 2) check to see if the age is 2 to less than 12. It is not, so we move on
step 3) check to see if the age is 12 to less than 22. We are in the right range, so we execute the print statement "student admission is $8"
After this the program is done. It doesn't check to see if the age is greater than 22 (that only would apply if the other if statements were false).
So we have four steps. The first three are checking those "if" statements mentioned. The fourth statement is executing the print output to show the price.
Answer:
It would take 3 steps before executing
Step-by-step explanation:
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.
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 solution set 7x^2-9x-10=0
Answer:
x = -5/7, 2
Step-by-step explanation:
Step 1: Factor
(5x + 7)(x - 2) = 0
Step 2: Find x roots
5x + 7 = 0
5x = -7
x = -5/7
x - 2 = 0
x = 2
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
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.
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.
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
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
In P2, find the change-of-coordinates matrix from the basis B = {1 − 3t 2 , 2 + t − 5t 2 , 1 + 2t} to the standard basis of P2. Then, write t 2 as a linear combination of the polynomials in B.
Complete Question:
In P2, find the change-of-coordinates matrix from the basis B = {1 − 3t² , 2+t− 5t² , 1 + 2t} to the standard basis C = {1, t, t²}. Then, write t² as a linear combination of the polynomials in B.
Answer:
The change of coordinate matrix is :
[tex]M = \left[\begin{array}{ccc}1&2&1\\0&1&2\\-3&-5&0\end{array}\right][/tex]
U = t² = 3 [1 − 3t²] - 2 [2+t− 5t²] + [1 + 2t]
Step-by-step explanation:
Let U = {D, E, F} be any vector with respect to Basis B
U = D [1 − 3t²] + E [2+t− 5t²] + F[1 + 2t]..............(*)
U = [D+2E+F]+ t[E+2F] + t²[-3D-5E]...................(**)
In Matrix form;
[tex]\left[\begin{array}{ccc}1&2&1\\0&1&2\\-3&-5&0\end{array}\right] \left[\begin{array}{ccc}D\\E\\F\end{array}\right] = \left[\begin{array}{ccc}D+2E+F\\E+2F\\-3D-5E\end{array}\right][/tex]
The change of coordinate matrix is therefore,
[tex]M = \left[\begin{array}{ccc}1&2&1\\0&1&2\\-3&-5&0\end{array}\right][/tex]
To find D, E, F in (**) such that U = t²
D + 2E + F = 0.................(1)
E + 2F = 0.........................(2)
-3D -5E = 1........................(3)
Substituting eqn (2) into eqn (1 )
D=3F...................................(4)
Substituting equations (2) and (4) into eqn (3)
-9F+10F=1
F = 1
Put the value of F into equations (2) and (4)
E = -2(1) = -2
D = 3(1) = 3
Substituting the values of D, E, and F into (*)
U = t² = 3 [1 − 3t²] - 2 [2+t− 5t²] + [1 + 2t]
x = 4 6 12 please help & explain
Answer:
x = 12
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
x * 3 = 6^2
3x = 36
Divide by 3
3x/3 = 36/3
x = 12
Answer:
x = 12
Step-by-step explanation:
Apply the Secant-Tangent theorem.
The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.
(whole secant) × (external part) = (tangent)²
(x) × (3) = (6)²
3x = 6²
3x = 36
(3x)/3 = 36/3
x = 12