Answers
Answer:
[tex]y =12[/tex]
Step-by-step explanation:
Given
ABC similar to DEF
Required
Find y
To do this, we make use of the following equivalent ratios.
[tex]AB : AC = DE : DF[/tex]
Using the values in the attachment, we have:
[tex]9 : 18 = 6 : y[/tex]
Express as fraction
[tex]\frac{9 }{ 18 }= \frac{6 }{ y}[/tex]
[tex]\frac{1 }{2 }= \frac{6 }{ y}[/tex]
Solve for y
[tex]y = 6 * 2[/tex]
[tex]y =12[/tex]
Related Questions
There are only five possible shapes for a die, if the die is to be considered fair. A fair die means each face has the same shape and the same possibility of appearing on every roll. The five possible shapes are
Tetrahedron: Cube: Octahedron: Dodecahedron: Icosahedron:
If you had five dice, each die being one of the five shapes above with each side containing a number, how many combinations are possible if you were to roll the five dice at the same time? (3 points)
4 faces, each face is an equilateral triangle 6 faces, each face is a square 8 faces, each face is an equilateral triangle 12 faces, each face is a regular pentagon 20 faces, each face is an equilateral triangle
Answers
Answer:
46080Step-by-step explanation:
Number of possible combinations:
4*6*8*12*20 = 46080Answer:
Solution given:
Number of possible combinations:
4×6×8×12×20 = 46080 faces
The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Age 38 41 45 48 51 53 57 61 65 Pressure 116 120 123 131 142 145 148 150 152 What is the best predicted value for blood pressure of an individual who is 64 years old
Answers
Answer:
156
Step-by-step explanation:
Given the data:
Age (X) :
38
41
45
48
51
53
57
61
65
Pressure(Y) :
116
120
123
131
142
145
148
150
152
From the data, we could obtain a regression equation to mod the data Given using a linear regression calculator :
The regression equation obtained is :
y = 1.48769X + 60.46103
Using the model, the predicted blood pressure for a person aged 64 will be :
y = 1.48769(64) + 60.46103
y = 95.21216 + 60.46103
y = 155.67319
y = 156 (nearest whole number)
interest rate 6% is:
Answers
A car park has 20 vehicles 12 of them are cars.what fraction of the vehicles are cars?
Answers
hope this helped.
how many ways can three people be selected from a group of seven people if order does matter
Answers
Answer:
210 ways
Step-by-step explanation:
Given
[tex]n = 7[/tex] --- total
[tex]r = 3[/tex] --- selection
Required
In how many ways can be selection be done
Since orders does matter, then it is permutation.
This is calculated as:
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
So, we have:
[tex]^7P_3 = \frac{7!}{(7-3)!}[/tex]
[tex]^7P_3 = \frac{7!}{4!}[/tex]
Solve each factorial
[tex]^7P_3 = \frac{7*6*5*4!}{4!}[/tex]
[tex]^7P_3 = 7*6*5[/tex]
[tex]^7P_3 = 210[/tex]
Sandy is getting ready for the day. She can wear either a balck or white shirt and then either pants, shorts, or a skirt. Create a tree diagram or label all the combinations she can make. How many are there total?
Answers
Black shirt and shorts
Black shirt and skirt
White shirt and pants
White shirt and shorts
White shirt and skirt
6 COMBINATIONS TOTAL
The sum of 3 consecutive even numbers is 78.
What is the second number in this sequence?
Answers
Answer: 10
Step-by-step explanation: 8+10+60=78
The cost, C, to rent a car for d days is shown in the table. Days (d) Cost (C) 2 $105 4. $195 5 $240 6 $285
Write an equation that represents this function
Answers
Answer:
C = 45d + 15
Step-by-step explanation:
105= (45 x 2) + 15
The equation represents the condition of the function as a linear function. Then the linear equation is C = 45d + 15.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The cost, C, to rent a car for d days is shown in the table.
Days (d) Cost (C)
2 $105
4 $195
5 $240
6 $285
Then the linear equation of the given table will be
Let d be the number of days and C be the total cost.
[tex]\rm C - 285 = \dfrac{285-240}{6-5} (d-6)\\\\C - 285 = 45d - 270\\\\45d - C = -15 \\\\C - 45d = 15[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
$500 is invested at 4.3% annual interest for 18 months.
a. Simple Interest b. Compound Interest
Answers
Answer:
a. $532.25 b. $1247.40
Step-by-step explanation:
a. A=P(1+rt)
500(1+0.043*1.5)
b.A=P(1+r/n)^nt
500(1+0.043/1.5)^18*1.5
(not 100% sure on compound interest though, sorry )
Suppose {an) is an arithmetic sequence with a16=12 and a7=30. Find a9.
Answers
Answer:
a9 = 26
Step-by-step explanation:
nth term of an arithmetic sequence an = a + (n-1)d
a16 = a+15d = 12.... 1
a7 = a+6d = 30.....2
Subtract
15d - 6d = 12 - 30
9d = -18
d =-18/9
d = -2
Substitute d = -2 into 1
a + 15d = 12
a+15(-2) = 12
a - 30 = 12
a = 12 + 30
a = 42
Get a9;
a9 = a+8d
a9 = 42+8(-2)
a9 = 42 - 16
a9 = 26
hence the 9th term of the sequence is 26
Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(82)
(-16-17)
(-1,-8)
(-40,-34)
Answers
Sorry I did it wrong.
Answer:
(0, -5) and (-16, -17)
Step-by-step explanation:
You can plug in the points into the function to test them.
(0, -5)
3(0) - 4(-5) - 8 = 12
20 - 8 = 12
12 = 12
(8, 2)
3(8) - 4(2) - 8 = 12
24 - 8 - 8 = 12
8 ≠ 12
(-16, -17)
3(-16) - 4(-17) - 8 = 12
-48 + 68 - 8 = 12
12 = 12
3(-1) - 4(-8) - 8 = 12
-3 + 32 - 8 = 12
21 ≠ 12
3(-40) - 4(-34) - 8 = 12
-120 + 136 - 8 = 12
8 ≠ 12
Beth wants to buy a radio for $36. She
gives the cashier $40. What is her
change?
Answers
40-36=4
Answer:
4
Step-by-step explanation:
PLZZZ HELP!!!!!!!!!1
What is the median and Q1 of the data set represented on the plot?
Median = 30; Q1 = 20
Median = 33; Q1 = 20
Median = 30; Q1 = 25
Median = 33; Q1 = 25
Answers
Answer:
i cant put the picture
Step-by-step explanation:
d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median
Explain reasoning and how you found it
Answers
Answer:
Where is AND? but b is 132
Answer:
48
Step-by-step explanation:
b=48°
They are alternate angles.
GIVING BRAINLIEST
what is the area of the donut pictured below? use 3.24 for pi
Answers
Answer:
The right answer is C (235.5 mm^2)
Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R = L/k. For this exercise and the next, we suppose that at time t = 0, the forest floor is clear of litter.
Required:
If D is the difference between the limiting value and A, so that D = R - A, then D is an exponential function of time. Find the initial value of D in terms of R.
Answers
Answer:
D = L/k
Step-by-step explanation:
Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is
dA/dt = in flow - out flow
Since litter falls at a constant rate of L grams per square meter per year, in flow = L
Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow
So,
dA/dt = in flow - out flow
dA/dt = L - Ak
Separating the variables, we have
dA/(L - Ak) = dt
Integrating, we have
∫-kdA/-k(L - Ak) = ∫dt
1/k∫-kdA/(L - Ak) = ∫dt
1/k㏑(L - Ak) = t + C
㏑(L - Ak) = kt + kC
㏑(L - Ak) = kt + C' (C' = kC)
taking exponents of both sides, we have
[tex]L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}[/tex]
When t = 0, A(0) = 0 (since the forest floor is initially clear)
[tex]A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L[/tex]
[tex]A = \frac{L}{k} - \frac{L}{k} e^{kt}[/tex]
So, D = R - A =
[tex]D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}[/tex]
when t = 0(at initial time), the initial value of D =
[tex]D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}[/tex]
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch, they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 1 n. What could the variable n in the expression represent if you know Margaret collected some cans in the afternoon?
Answers
Answer:
hm
Step-by-step explanation:
Answer:
N would represent days
Step-by-step explanation:
the question says at the end of the day
What is the solution to the to system equations in the graph?
Answers
Answer:
b
Step-by-step explanation:
The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer
dominic is buying candy by the pound for a party. for every 10 pounds of candy he buys, he pay $12. What is the cost of the candy, per pound, for the candy?
Answers
Answer:
12$
Step-by-step explanation:
Answer:
$1.20 per pound
Step-by-step explanation:
The reason for this answer is because you divide 10 by 10 so its 1 pound and whatever you do to the bottom you do to the top so you divide 12 by 10 which equals 1.2 aka $1.20
4x^2+ xy+81y^2 find the missing number
Answers
Answer: (9y^4*x^6)^2
Step-by-step explanation: First you take the square root of 81, which is 9. Next, you divide 8 and 12 by 2. Lastly, you multiply everything together, and you get a final answer of (9y^4*x^6)^2. Do you do RSM?
If i already have the area of a circle which is: 197.2. how do i find the radius, diameter, and the circumference? please help me
Answers
Answer:
how you find it id dive the radius by the undercore of the problem
Step-by-step explanation:
1/3 times 1/2 times 1/4
Answers
Answer:
1/3 x 1/2 x 1/4 = 1/24
Step-by-step explanation:
1. Find the value of x.
No links plssss
Answers
Answer:
9
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
Answer:
I think it's 9.
Step-by-step explanation:
Help :)))))))
And branlist wil come!!
Answers
Answer:
y * 2.5 = x
Step-by-step explanation:
y= inch
x= conversion from inch to cm
may someone please help me? I’m having trouble finding G and H. It would be okay if you only found G for me. I will give the first answer a brainliest if it is reasonable or correct! Thanks you
Answers
g would be 125 degrees
h would be 62 degrees
Answer:
g = 118°
Step-by-step explanation:
b = 180 - 62 = 118 because b is supplementary to the 62° angle
g = 118 because b and g are alternate interior angles
12
13
14
15
A rectangle has a length represented by the function f(x) and a width represented by g(x).
х
3
4.
5
6
P(x) = 2[(f + g)(x)]
16
22
28
34
A(x) = (fºg)(x)
7
18
33
52
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.
Answers
Answer:
answer is will be A(x) is linear, but P (x) is not
The function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to that a rectangle has a length represented by the function f(x) and a width represented by g(x).
For the function -
P(x) = 2[(f + g)(x)]
We can see that two linear functions are added. So the resulting function will be a linear function.
and
For the function -
A(x) = (f º g)(x)
We can see that the function g(x) act as a domain for the function f(x). This will no longer make the function f(x) linear. So, it will not be linear.
Therefore, the function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
Help
See the picture
Answers
Answer:
114°
Step-by-step explanation:
The measure of the central angle is going to be the same as the arc, so the answer to this is 114°.
explanation: because the person above me said it lollll
Which point gives the vertex of f(x) = - x2 + 4x - 3?
A) (2,-1)
B) (-2,-13)
C) (2,1)
D) (2,-13)
Answers
Answer:
(2,1)
Step-by-step explanation:
f(x) = - x^2 + 4x - 3
Factor out the negative
f(x) = - (x^2 - 4x + 3)
Factor
f(x) = -(x-3) (x-1)
The zeros are at
0 = -(x-3) (x-1)
x-3 =0 x-1 =0
x=3 x=1
We know the vertex is 1/2 way between the zeros
(3+1)/2 = 4/2 =2
The x coordinate of the vertex is 2
Substitute x=2 into the equation
f(2) = -(2^2-4(2) +3)
= -(4-8+3)
= -(-1)
= 1
The vertex is (2,1)
Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber
band, records the color, and returns it to the bag. She does this a total of 50 times
and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.
Based on this information, what is the probability that Ms. Florina will select a blue rubber
band, return it to the bag, and then select a green rubber band?
Click the arrows to choose an answer from each menu.
Based on the given information, the probablity that Ms. Florina will select a blue rubber band is
Choose... and the probability that she will select a green rubber band is
Choose... The probability that she will select a blue rubber band, return it to the bag,
and then select a green rubber band is Choose...
Answers
Answer:18/25 1/5 14/25
Step-by-step explanation:
The probability we have to choose 18/25 1/5 14/25.
Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber.
band, records the color, and returns it to the bag. She does this a total of 50 times.
and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.
Based on this information, what is the probability that Ms. Florina will select a blue rubber
band, return it to the bag and then select a green rubber band
Click the arrows to choose an answer from each menu.
What is the formula for probability?
It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).
Based on the given information, the probability that Ms. Florina will select a blue rubber band is,
Therefore the probability we have to choose 18/25 1/5 14/25.
To learn more about the probability visit:
https://brainly.com/question/25870256
#SPJ2
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
Answers
Answer:
You will need 50.54 liters of gas.
Step-by-step explanation:
This question is solved by proportions.
495km trip:
The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.
Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.
Number of gallons:
23.0 mi/gal.
So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.
How many liters?
Each gallon has 3.78 liters.
So 13.37 gallons will have 13.37*3.78 = 50.54 liters.
