Answer:
12 years
Step-by-step explanation:
Represent the mother's age by m and the son's by 4. Currently m = 36 years old.
In x years the mother will be three times as old as her son:
mother: 36 + x years old
son: 4 + x years old
The pertinent equation to solve is:
36 + x = 3(4 + x)
Performing the multiplication, we get:
36 + x = 12 + 3x, or
24 = 2x. Then x = 12.
Check: In 12 years, will the mother's age be 3 times the son's age?
Does 36 + 12 = 3(4 + 12)?
Does 48 = 48? YES
The mother will be 3 times as old as her son in 12 years from now.
A sequence of numbers is given by the formula an= 2(-1.2)^n, where n is a positive integer. What is the probability that a randomly chosen term from the first 3 terms will be negative?
A. 1/3
b. 1/2 C. 2/3 D. 0
Answer:
2 / 3
Step-by-step explanation:
Given the formula :
an= 2(-1.2)^n
At n = 1
a(1) = 2(-1.2)^1 = 2(-1.2) = - 2.4
At n = 2
a(2) = 2(-1.2)^2 = 2(-1.2)^2 ; 2 * 1.44 = 2.88
At n = 3
a(3) = 2(-1.2)^3 = 2(−1.728) ; 2 * - 1.728 = - 3.456
Number of negative numbers from first three term = 2
P(choosing a negative term) =
Number of negative numbers from first three term / total number of terms
= 2/3
PLEASE HELP ME I WILL MARK BRAINLIEST!! :)
Answer:
5
Step-by-step explanation:
5 is a number, an expression is, (in mathematics), an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Answer:
option D
5 not represent an expression
hope it helps
On the coordinate plane, mark all points (x,y) such that (A) y=x+3, (B) y=-x+3, (C) y=|x|+3
Answer:
the coordinates of A is: (0,3) the coordinates of B is: (1,2) the coordinates of C is:
Step-by-step explanation:
The graphs of the 3 given functions can be seen in the image attached below.
How to graph the given points?To graph all the points (x, y) in a relation:
y = f(x)
Is equivalent to graphing the function.
In this case, we just want to graph the 3 lines:
y = x + 3
y = -x + 3
y = |x| + 3
To graph the first two, we need to find two points on the functions and then connect them with a line.
For the third function we just need to move 3 units up the parent absolute value function.
The 3 graphs can be seen below. (the third function lies on top of the first two, so it is hard to see).
If you want to learn more bout graphing:
https://brainly.com/question/14323743
#SPJ2
Given the definitions of f(x)f(x) and g(x)g(x) below, find the value of (f\circ g)(-4).(f∘g)(−4). f(x)= f(x)= \,\,3x^2+4x-3 3x 2 +4x−3 g(x)= g(x)= \,\,-2x-11 −2x−11
Answer:
(f∘g)(−4) = 12
Step-by-step explanation:
Given the functions
f(x)= 3x^2 + 4x - 3
g(x) = -2x-11
Required
(f∘g)(−4)
(f∘g)(x) = f(g(x))
f(g(x)) = f(-2x-11)
f(-2x-11) = 3(-2x-11)^2 + 4(-2x-11) - 3
f(g(x)) = 3(-2x-11)^2 + 4(-2x-11) - 3
f(g(-4)) = 3(-2(-4)-11)^2 + 4(-2(-4)-11) -3
f(g(-4)) = 3(8-11)^2 + 4(8-11) - 3
f(g(-4)) = 3(-3)^2 + 4(-3) - 3
f(g(-4)) = 3(9) - 12 - 3
f(g(-4)) = 27 - 15
f(g(-4)) = 12
Hence (f∘g)(−4) = 12
if a store sells a packet of gum for R5.50 what will the cost for the gum be if you add the vat
Answer:
Step-by-step explanation:
It can be anything according to your value added tax.
A game has green and blue pieces the ratio of green game pieces to total pieces is 5:12. What are some statements that are true answer fast
Answer:
Statement B and statement D are true
Step-by-step explanation:
A game has green and blue pieces. The ratio of
green game pieces to total pieces is 5:12.
Select all the statements that are correct about the game pieces.
A. The ratio of green pieces to blue pieces is 7:5.
B. The ratio of total pieces to blue pieces is 12:7,
C. There must be 7 more blue pieces than green pieces.
D. The ratio of total pieces to green pieces is 12:5.
Ratio of green pieces = 5
Ratio of total pieces = 12
Ratio of blue pieces = Ratio of total pieces - Ratio of green pieces
= 12 - 5
= 7
Ratio of blue pieces = 7
A. The ratio of green pieces to blue pieces is 7:5.
Green pieces : blue pieces = 5 : 7
A is not true
B. The ratio of total pieces to blue pieces is 12:7
Total pieces : blue pieces = 12 : 7
B is true
C. There must be 7 more blue pieces than green pieces.
Blue = 7
Green = 5
There are 2 more blue pieces than green pieces
C is not true
D. The ratio of total pieces to green pieces is 12:5
Total pieces : green pieces = 12 : 5
D is true
Solve the following system of equations by graphing.
y = - 2x - 1
y = 44x - 4.
A) (-4,3)
B) (4,-3)
C) (3,4)
D) (-3,4)
Answer:
Option B
Step-by-step explanation:
Given the corrected equations from the comment:
Y = -1/2x - 1
Y = 1/4x - 4
(I am assuming from the answer choices that the 1/2 is negative)
Use a graphing tool to graph the given equations.
When graphed, the lines pass the point (4, -3).
See graph below.
Option B should be the correct answer.
Hope this helps.
You deposit $300 in an account earning 4% interest compounded annually. How much will you have
in the account in 20 years?
MARKING BRAINLIEST!!!!!
Answer:
Is there an outlier? No. The numbers/data are close to each other and there are no too large or too small numbers
What times where recorded the least? 8.31 and 8.28
How many swimmers took 8.32 minutes than 8.28 minutes? 3
I have no idea what the blanks are supposed to be since there isnt enough information. Sorry!
whats the answer to this
Answer:
Maybe 5?
Step-by-step explanation:
If not im really sorry!!!!!!!
What is sin 23°?
Helpppp!
Answer:
C. 5/13
Step-by-step explanation:
Remember SOHCAHTOA
Sine is opposite over hypotenuse. The side opposite the 23° angle is 5, and the hypotenuse is 13.
So, sin 23° = 5/13
The value of sine 23 from the provided triangle can be expressed as [tex]\frac{5}{13}[/tex], option C is correct.
What are the basic principles of trigonometry?Trigonometry has three fundamental operations: sine, cosine, and tangent. The cotangent, secant, and cosecant are three crucial trigonometric functions that can be derived from these three fundamental ratios or functions. These functions serve as the foundation for all the key ideas in trigonometry.
[tex]Sine x = \frac{opposite}{ hypotenuse. }[/tex]
side opposite = 5,
the hypotenuse= 13.
[tex]sin 23 = \frac{5}{13}[/tex]
Therefore, option C is correct.
Learn more about trigonometry at;
https://brainly.com/question/24349828
#SPJ6
What does the expression 1.5b+75b
Answer:
76.5b
Step-by-step explanation:
Can someone please solve this x + 7 = 12
Answer:
x=5
Step-by-step explanation:
change to x=12-7
subtract
x=5
Convert from a percent to a decimal 8%
8% is equal to 0.08
Hope this helps, Sorry that it takes so long for people to get answers because of greedy people or people sending links.
Trig need help! Find the two missing sides and write your answer as in simplified radical form.
Answer:
[tex] m = 3\sqrt{2} [/tex]
[tex] n = 3\sqrt{2} [/tex]
Step-by-step explanation:
Reference angle = 45°
Opposite = m
Adjacent = n
Hypotenuse = 6
✔️To find m, apply SOH:
Sin 45 = Opp/Hyp
Sin 45 = m/6
m = 6 × Sin 45
[tex] m = 6*\frac{1}{\sqrt{2}} [/tex] (sin 45 = 1/√2)
[tex] m = \frac{6}{\sqrt{2}} [/tex]
Rationalize
[tex] m = \frac{6*\sqrt{2}}{\sqrt{2}*\sqrt{2}} [/tex]
[tex] m = \frac{6\sqrt{2}}{2} [/tex]
[tex] m = 3\sqrt{2} [/tex]
✔️To find n, apply CAH:
Cos 45 = Adj/Hyp
Cos 45 = n/6
n = 6 × Cos 45
[tex] n = 6*\frac{1}{\sqrt{2}} [/tex] (cos 45 = 1/√2)
[tex] n = \frac{6}{\sqrt{2}} [/tex]
Rationalize
[tex] n = \frac{6*\sqrt{2}}{\sqrt{2}*\sqrt{2}} [/tex]
[tex] n = \frac{6\sqrt{2}}{2} [/tex]
[tex] n = 3\sqrt{2} [/tex]
Need answers 1-6 this is geometry
Answer:
Step-by-step explanation:
1- 75
2- 32.5
3- 58
4- 100 (unsure tho)
5- 93 (unsure)
6- 53
what expression can represent 4 more than the product of 6 and 2 1/2
Answer:
6 x 2 1/2 + 4 ??? I hope this is correct :)
Step-by-step explanation:
If its not.. I'm so sorry:(
Have a nice day! <3
Find the interest earned in Mrs. Charlie's account after 4 years, if she had
deposited $11,000 in her account. The bank pays a compound interest of 8.4%
annually.
Answer:
11012.4
Step-by-step explanation:
4 + 11000 = 11004
11004 + 8.4 = 11012.4
does anyone know the answer?? i’ll mark brainlists
If the area of a rhombus is 189 square millimeters and one its diagonals measures 24 millimeters, what is the length of the other diagonal?_ A=189 mm 24 mm
Answer:
eggs ft GGG Gogh vs HGH zone view HSH hzzStep-by-step explanation:
gggggzggzggstf
please help asap!!!!!
Answer:
RQ = RS = 3
Step-by-step explanation:
Since RQ and RS are radii of the circle then they are congruent
let RQ and RS be x , then
Using Pythagoras' identity in right triangle QRS
x² + x² = (3[tex]\sqrt{2}[/tex] )²
2x² = 18 ( divide both sides by 2 )
x² = 9 ( take the square root of both sides )
x = [tex]\sqrt{9}[/tex] = 3
Thus RQ = RS = 3
Can anybody help me? No links please lol
Answer:
60% OF 6 = 3.6
↓
OF means multiplicatin
60% will turn into a decimal which is
↓
0.6 x 6 = 3.6 :)
Hope this helped!
-Maddison <3
Step-by-step explanation:
Answer:111/60=1.85
Step-by-step explanation: 185is answer
YOUR WELCOME (:
\
Which of the following functions best describes this graph?
Answer: A. y=x²-9x+20
Step-by-step explanation:
As we can see from the graph there are two x-intercepts: (4,0) (5,0)
The easiest way we can do, is we plug these two values into each of the choices.
A. y=x²-9x+20
(4, 0) YES
(5,0) YES
B. y=x²-8x+18
(4, 0) NO
(5, 0) NO
C. y=x²+9x+20
(4, 0) NO
(5, 0) NO
D. y=x²+x-12
(4, 0) NO
(5, 0) NO
Therefore, the answer should be y=x²-9x+20
Hope this helps!! :)
Please let me know if you have any questions
Can u guys PLEASE answer this question ASAP.
THIS IS EXTREMELY URGENT
Answer:its upside down sir
Step-by-step explanation:
Use technology to solve for x 3^x -4 = 6x -7
Answer:
there is no solution for X
Step-by-step explanation:
Look at the expression below 7x11x13 How many factors does the product of the expression have?
ans 1) Exactly 3 factors
ans 2) Exactly 4 factors
ans 3) Exactly 5 factors
ans 4) More than 5 factors
Answer:
Exactly 3 factors
Step-by-step explanatin
The number 1001 is a composite number because 1001 can be divided by one, by itself and at least by 7, 11 and 13. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly).
The factorization or decomposition of 1001 = 7•11•13. Notice that here, it is written in exponential form.
The prime factors of 1001 are 7, 11 and 13. It is the list of the integer's prime factors.
The number of prime factors of 1001 is 3.
The probability that two cards are selected at random from a deck of cards containing
a face card and diamond without replacement.
Can someone help me solve this question.
Answer:
Has to be 4.
Step-by-step explanation:
If the temperature is -3F at 10:00 PM, and the temperature falls four degrees overnight, what is the resulting temperature?
Answer:
-7 degrees
Step-by-step explanation:
Joel walked of a mile to the store, 1. of a mile to the library,
and 2 of a mile to the post office. How far did he walk??
Answer:
4 miles?
Step-by-step explanation:
Answer:
3 miles
Step-by-step explanation:
2+1=3
