The ages of 3 brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the younger brother?
A. 14
B. 18
C. 22
D. 26
Quadrilateral LMNO is transformed according to the rule T(–2, 4). What are the coordinates of L’? (3, –3) (3, 5) (9, –1) (9, 3)
A transformation specified with a rule T (x, y) means that the figure is undergoing a process of translation. Translation means that only the positions of the coordinates are changed with no other change on the angle, lengths or any other characteristic aside from the position alone.
So since the rule is T (-2, 4) then this means that the figure is moved 2 units left and 4 units up.
The initial coordinates of point L is:
point L = (5, 1)
The coordinates of L’ then is:
point L’ = L(5, 1) + T(-2, 4)
point L’ = (5 – 2, 1 + 4)
point L’ = (3, 5)
Answer:
(3, 5)
(3,5) is the answer.
Segment RT is a mid-segment of triangle CDE. What is the length of segment CE?
A) 38 in.
B) 32 in.
C) 24 in.
D) 9.5 in.
is this correct? if not please let me know how to solve it
find a1 for the geometric series with r=3 and s6=364
One angle in a pair of complementary angles is 4/5th of the other . Find the measure of the two angles
complementary angles equal 90 degrees
angle 1 = x
angle 2 = 4/5x
x + 4/5x = 90
9/5x = 90
x = 90 / 9/5 = 50
angle 1 = 50 degrees
angle 2 = 4/5 x 50 = 40 degrees
Which of the expressions are equivalent to the one below? Check all that apply. (10 + 8) • 2
kelvin to fahrenheit f= 9/5(k-273.15) +32
Can anyone PLEASE help geometry is my worst subject!
The cycling tour has 340 bottles of water for each week. There are ten people on the tour. How many bottles of water is that for each person per week?
A convex polyhedron has 30 edges and 8 fewer vertices than faces. How many faces does the polyhedron have? Euler’s formula: V + F = E + 2 12 18 20 24
Answer:
C or 20
Step-by-step explanation:
Just got the answer on Edge :)
Answer:
c
Step-by-step explanation:
In EFG, mE = 30, mF = 60, and mG = 90. Which of the following statements about EFG are true?
Statements B, C, and F are all true based on the given angle measures in triangle EFG.
Let's reevaluate the statements with the given angle measures in triangle EFG:
m∠E = 30°
m∠F = 60°
m∠G = 90°
A. FG = √3/2 EF
FG = (EF * √3) / 2
This statement is true. FG is indeed equal to √3/2 EF.
B. EG = √3/2 EF
EG = (EF * √3) / 2
This statement is true. EG is equal to √3/2 EF.
C. EG = -√3 FG
EG = -√3 * FG
This statement is true. EG is equal to -√3 FG.
D. EF = -√3 FG
EF = -√3 * FG
This statement is true. EF is equal to -√3 FG.
E. EG = 2 FG
EG = 2 * FG
This statement is true. EG is equal to 2 FG.
F. EF = 2 FG
EF = 2 * FG
This statement is true. EF is equal to 2 FG.
Statements B, C, and F are all true based on the given angle measures in triangle EFG.
for such more question on statements
https://brainly.com/question/31070625
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What are the vertical and horizontal asymptotes for the function f(x)= x^2+x-6/x^3-1?
Answer:
Hence, x=1 is the vertical asymptote
Hence, y=0 is the horizontal asymptote
Step-by-step explanation:
We have been given an expression
[tex]\frac{x^2+x-6}{x^3-1}[/tex]
For vertical asymptote we equate the denominator to zero that means
[tex]x^3-1=0[/tex]
[tex]\Rightarrow x^3=1[/tex]
[tex]\Rightarrow x=1[/tex]
Hence, x=1 is the vertical asymptote.
Now, for horizontal asymptote we compare the degree of numerator and denominator
Here degree of numerator is 2 and degree of denominator is 3
When degree of denominator is greater than degree of numerator y=0 is the horizontal asymptote
Hence, y=0 is the horizontal asymptote.
You invest $300 in an account that has an interest rate of 1.3%, compounded monthly. How much money is in the account after 20 years? Round your answer to the nearest whole number.
Answer:
$389
Step-by-step explanation:
The formula for final value of compound interest is given by
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Here, we have
P = $300
r = 0.013
t = 20 years
n = 12
Substituting these values and find A
[tex]A=300(1+\frac{0.013}{12})^{12\cdot20}\\\\A\approx389[/tex]
Therefore, in 20 years, the account will have $389.
How many ways can a librarian arrange 15 books on a top shelf if she has 20 books from which to pick?
Answer: 20!/5!
Step-by-step explanation:
Doug entered a canoe race. he rowed 3 1/2 miles in 1/2 hours what is his average speed in miles per hour
A puzzle contains a triangular piece with a base of 3 in. and a height of 4 in. A manufacturer wants to make 80 puzzles. Find the amount of wood used if each puzzle contains 20 triangular pieces.
I believe this question asks for the total amount of area of wood that is needed to make 80 puzzles.
The formula for area of triangle is given as:
A = (1 / 2) b h
where,
b = is the base of the triangle = 3 in
h = height of the triangle = 4 in
So calculating for area of 1 on triangle (A1):
A1 = (1 / 2) (3 in) (4 in)
A1 = (1 / 2) 12 in^2
A1 = 6 in^2
We are given that we are to make 80 puzzles and each puzzle has 20 triangles, therefore the total amount of triangles we need to make is:
n = 80 * 20
n = 1600
Therefore the total area needed (A) is:
A = A1 * n
A = 6 in^2 * 1600
A = 9,600 in^2
The square root of 12 is between A.) 3 and 4 B.) 4 and 5 C.) 5 and 6 D.) 6 and 7
A business’s assets are valued at $600,000, and the value depreciates 20% per year. Using the formula V(t) = V0(b)t, what is V0, what is (b), and what is the value of the assets after 5 (t) years? Show your work.
t = 5
V0 =
(b) =
Value after 5 years:
Find Y of the polygon
Answer both please !
36) the equation would be: 44 x 0.63 =
37) 6.1% = 0.061
59150 x 0.061 = 3608.15 increase
Please help ill give brainiest to who helps
Joey intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will give a result that is divisible by 3? A. Each roll has a 0.117 probability of being divisible by 3. B. Each roll has a 0.333 probability of being divisible by 3. C. Each roll has a 0.5 probability of being divisible by 3. D. Each roll has a 0.667 probability of being divisible by 3.
there are 2 numbers that could be divisible by 3, either 3 or 6
so there is a 2/6 probability
2/6 = 0.333
so the answer is B
Annie found that 57 students in her school knew French and 23 of those students knew Spanish, as well. There were 11 students who did not know French but knew Spanish. There were 4 students who knew neither French nor Spanish. Which table best summarizes the data collected by Annie?
Knew Spanish Did not know Spanish Total
Knew French 57 34 91
Did not know French 11 4 15
Total 68 38 106
Knew Spanish Did not know Spanish Total
Knew French 12 34 46
Did not know French 11 4 15
Total 23 38 61
Knew Spanish Did not know Spanish Total
Knew French 23 34 57
Did not know French 11 4 15
Total 34 38 72
Knew Spanish Did not know Spanish Total
Knew French 23 34 57
Did not know French 4 11 15
Total 27 45 72
Answer:
Table C is the correct option.
Step-by-step explanation:
We are given,
Number of students which knew French = 57
Number of students which knew both French and Spanish = 23
Number of students which knew Spanish but not French = 11
Number of students which knew neither French nor Spanish = 4
So, we get that,
Number of students not knowing French = 57 - 23 = 34
Hence, the table for the given situation is,
Knew Spanish Did not know Spanish Total
Knew French 23 34 57
Did not know French 11 4 15
Total 34 38 72
Thus, option C is correct.
option C is correct-
WILL GIVE BRAINLIEST!!!
Which of the following equations represents an inverse variation?
A.
6y = x
B.
1/2y = 1/x
C.
–x = y + 8
D.
y = 1/4x
An equation typically used to represent inverse variation is y = k/x, where k is the "constant of proportionality for inverse variation."
6y = x does not represent inverse variation, since y increases when x increases or x increases when y increases. This is an example of direct proportion and is thus not an answer.
1/2y = 1/x should be written as (1/2)y = 1/x, to emphasize that (1/2) is a coefficient of y. Let's solve for y to see what form the resulting equation has:
(1/2)y = 1/x => y = 2/x. This has the form y = k/x, and thus represents inverse variation. y decreases when x increases.
–x = y + 8 is a linear equation and thus could not possibly represent inverse proportion. The "offset," +8, also makes it impossible for –x = y + 8 to represent direct variation. Reject this answer choice.
y = 1/4x has the form y = (1/4)x, which resembles a rule for direct variation.
Note, however, that if you really meant y = 1 / (4x), or y = (1/4)(1/x), then this would be a case of inverse variation.
The only answer choice in this problem that clearly represents indirect variation is (1/2)y = 1/x (as I have already said, above).
Answer:5
Step-by-step explanation:
1/2y=1/x
y=2/x
Put these substances in order of density with the most dense first and the least dense last.
air
pumpkin pie
whipped cream
steel
Answer: Hello there!
We know that:
[tex]density = \frac{mass}{volume}[/tex]
This means that two of two objects whit the same size ( volume) the heaviest one is the more dense object.
The 4 that we have here are:
Air, Pumpkin pie, Whipped cream, and Steel
It is easy to assume that the steel is the more dense object.
The pumpkin pie comes second
third is the whipped cream, which is cream with a lot of tiny air bubbles inside
the less dense object is the air.
then the order is:
Steel, pumpkin pie, whipped cream, air.
Determine the solution set of x^2-80=0.
Answer: The required solution set of the given equation is [tex]\{4\sqrt5,-4\sqrt5\}.[/tex]
Step-by-step explanation: We are given to determine the solution set of the following quadratic equation :
[tex]x^2-80=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since the given equation does not contain the term involving x, so we will use the method of square root to solve the given equation.
The solution of equation (i) is as follows :
[tex]x^2-80=0\\\\\Rightarrow x^2=80\\\\\Rightarrow x=\pm\sqrt{80}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=\pm\sqrt{16\times5}\\\\\Rightarrow x=\pm4\sqrt5.[/tex]
Thus, the required solution set of the given equation is [tex]\{4\sqrt5,-4\sqrt5\}.[/tex]
Which of these is not an example of a geometric shape or form?
Someone please answer this for me
Point C is the center of the circle. The measure of angle ACB is 12x – 7. Arc AB measures 10x + 7. Find the value of x.
Answer:
x=7
Step-by-step explanation:
Subtract 10x
from both sides of the equation.
12x−7−10x=7
Subtract 10x
from 12x
2x−7=7
Add 7
to both sides of the equation.
2x=7+7
Add 7 and 7
2x=14
Divide each term by 2 and simplify.
x=7
what are the domain and range for each of the following functions? write your answer using inequality symbols of possible PLEASE HELP :) ( on both graphs)