Answer:
let the ages of the brothers be 2x and 3x
2x +3x=35
5x=35
x=35÷5
x=7
now,
A=2x=2×7=14
B=3x=3×7=21
this is the answer
how many whole numbers starting with 1 and ending with 1000 are perfect squares?
Answer:
There are 31 perfect squares between 1 and 1000
Hope it helps❤️
what is 65 divded by 487
Answer:
0.13347022587
Step-by-step explanation:
Answer:
7 R 32
Step-by-step explanation:
0 0 7
6 5 4 8 7
− 0
4 8
− 0
4 8 7
− 4 5 5
3 2
(125^2 +25^2) (5^2-1) is divisible by 3
Answer:
See Below.
Step-by-step explanation:
We want to prove that the expression:
[tex](125^2+25^2)(5^2-1)[/tex]
Is divisible by three.
We can simplify the second factor:
[tex]=(125^2+25^2)(25-1)\\\\ = (125^2+25^2)(24) \\\\ = (125^2+25^2)(8\cdot 3)[/tex]
Since the second factor is being multiplied by three, we can conclude that the entire expression is divisible by three.
Answer:
It is divisible by 3.
Step-by-step explanation:
(125² + 25²)(5² - 1) ÷ 3
(15625 + 625)(25 - 1) ÷ 3
(16250)(24) ÷ 3
390000 ÷ 3
130000
URGENT: Click on the graph to choose the correct answer to the equation.
x > 2
(Choose one of the pictures as the answer)
Answer:
The first graph.
Step-by-step explanation:
The equation is x is greater than 2. Therefore, the graph needs to shade anything greater than 2, but not 2.
Let f be a function of two variables that has continuous partial derivatives and consider the points
A(8, 9),
B(10, 9),
C(8, 10),
and
D(11, 13).
The directional derivative of f at A in the direction of the vector AB is 9 and the directional derivative at A in the direction of
AC is 2. Find the directional derivative of f at A in the direction of the vector AD.
(Round your answer to two decimal places.)
Answer:
The directional derivative of f at A in the direction of [tex]\vec{u}[/tex] AD is 7.
Step-by-step explanation:
Step 1:
Directional of a function f in direction of the unit vector [tex]\vec{u}=(a,b)[/tex] is denoted by [tex]D\vec{u}f(x,y)[/tex],
[tex]D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b[/tex].
Now the given points are
[tex]A(8,9),B(10,9),C(8,10) and D(11,13)[/tex],
Step 2:
The vectors are given as
AB = (10-8, 9-9),the direction is
[tex]\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)[/tex]
AC=(8-8,10-9), the direction is
[tex]\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)[/tex]
AC=(11-8,13-9), the direction is
[tex]\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )[/tex]
Step 3:
The given directional derivative of f at A [tex]\vec{u}_{AB}[/tex] is 9,
[tex]D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9[/tex]
The given directional derivative of f at A [tex]\vec{u}_{AC}[/tex] is 2,
[tex]D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2[/tex]
The given directional derivative of f at A [tex]\vec{u}_{AD}[/tex] is
[tex]D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}[/tex]
[tex]D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}[/tex]
[tex]D\vec{u}_{AD}f= \frac{27+8}{5} =7[/tex]
The directional derivative of f at A in the direction of [tex]\vec{u}_{AD}[/tex] is 7.
HELP ASAP !!!! Which equation is satisfied by all three of the plotted points?
Answer:
Ok, so im not 100% sure about this answer but i think its D:
Step-by-step explanation:
I think this is correct because i used desmos and had plotted those answer and the only one that looks close enough to this answer was D.
I'll also put up the pictures so you can see what i mean.
I hope this help.
What is the general equation for direct
variation?
Answer:
☆ y=kx
Example: if we have x= 3 and y= 15
Find y?
y= kx
*We know that y= 15 and x= 3
So,
15=k(3)
15=3k
*divide 3 from both sides
K=5
y=5x
y=5(5)=25
☆▪☆▪☆▪☆▪☆
Hope it helps..
Have a great day!!
Laura and martin obtain a 25 year 120,000 conventional mortgage at 8.5% on a house selling for 140,000 their monthly mortgage payment including principal and interest is 966 dollars
Complete Question
Laura and martin obtain a 25 year 120,000 conventional mortgage at 8.5% on a house selling for 140,000 their monthly mortgage payment including principal and interest is 966 dollars
a) Determine the total amount they will pay for their house
b) How much of the cost will be interest?
c) How much of the first payment on the mortgage is applied to the principal?
Answer:
a) [tex]X=\$289800[/tex]
b) [tex]I=\$169800[/tex]
c) [tex]Y=\$116[/tex]
Step-by-step explanation:
From the question we are told that:
Time [tex]T=25years =>300 months[/tex]
Initial Mortgage [tex]N=140,000[/tex]
Mortgage [tex]N'=120,000[/tex]
Rate [tex]r=8.5\%=>0.085[/tex]
Monthly Mortgage payment P=\%966
a)
The total amount Payable X is mathematically given as
[tex]X=Monthly\ Mortgage\ payment*Number\ of\ months[/tex]
[tex]X=966*300[/tex]
[tex]X=\$289800[/tex]
b)
Generally the equation for Interest I is mathematically given by
[tex]Interest= Total\ amount\ Payable -Mortgage N'[/tex]
[tex]I=289800-120000[/tex]
[tex]I=\$169800[/tex]
c)
Generally the equation for Interest I is mathematically given by
[tex]I=Ptr[/tex]
Where
[tex]t= Month +.1month=>1/12[/tex]
Therefore
[tex]I=120000*1/12*0.085[/tex]
[tex]I=850[/tex]
Therefore the first payment on the mortgage is applied to the principal is
[tex]Y=\$966-850[/tex]
[tex]Y=\$116[/tex]
I wil Mark BRANLIEST!! HELP!!!! Consider the graphs of linear function f(x) = 3x, quadratic function g(x) = 3x2, and exponential function h(x) = 2x. Which statement about the functions f, g, and h is correct?
A. As x increases, the value of f(x) will eventually exceed the values of g(x) and h(x).
B. As x increases, the value of g(x) will eventually exceed the values of f(x) and h(x).
C. As x increases, the value of h(x) will eventually exceed the values of f(x) and g(x).
D. As x increases, the values of both f(x) and g(x) will eventually exceed the value of h(x).
Here the Graph: https://www.savvasrealize.com/community/proxy/assessment/68bd51a0599744be92849bd2e08be180/images/bdbcc6b2-8670-4ddc-95a2-a48b6d6da348
Answer:
option C
Step-by-step explanation:
Given :
[tex]f(x) = 3x \\\\g(x) = 3x^2\\\\h(x) = 2^x[/tex]
We will just put values for x and check the function :
Let x = 1
f(x) = 3
g(x) = 3
h(x) = 2
Let x = 10,
f(x) = 30
g(x) = 300
h(x) = 1024
Let x = 100
f(x) = 300
g(x) = 30000
h(x) = [tex]1.27 \times 10^{30}[/tex]
Clearly , as x increases value of h(x) exceeds the value of f(x) and g(x).
What is the gradient of the blue line
Answer:
1/4
Step-by-step explanation:
1) Find two points of the line
(4,2) and (8,3)
Gradient = (y2 - y1)/(x2-x1)
(3-2)/(8-4) = 1/4
Adar, Chi, and Melissa each left the party by themselves. In how many different orders can they leave?
A. 5
B. 6
C. 7
D. 9
CAN ANYONE HELP ME WITH THIS QUICKKKKK!
Step-by-step explanation:
You can mention the main values like N = 50 , Efm= 2640 in the answer box and put the formula for calculating mean Efm/N and simply show the answer. Goodluck
Kofi, Kojo and Ama shared GH¢ 480,000.00 in the ratio 3:5:4. How much did Ama receive?
A. GH¢ 160,000.00
B. GH¢ 200,000.00
C. GH¢ 218,181.81
D. GH¢ 342,859.14
Answer:
160000
Step-by-step explanation:
Let ratio be 3x,5x,4x
Sum of ratios 3x+5x+4x=12x
Share of Kofi:-
(3/12)x480000=120000
Share of Kojo:-
(5/12)x480000=200000
Share of Ama:-
(4/12)x480000=160000
How many solutions does this linear system have? y = 2x – 5 –8x – 4y = –20 one solution: (–2.5, 0) one solution: (2.5, 0) no solution infinite number of solution
Answer:
one solution: (2.5, 0)
Step-by-step explanation:
We are given the following system of equations:
y = 2x - 5
-8x - 4y = -20
Replacing the first equation into the second:
[tex]-8x - 4(2x - 5) = -20[/tex]
[tex]-8x -8x + 20 = -20[/tex]
[tex]-16x = -40[/tex]
[tex]16x = 40[/tex]
[tex]x = \frac{40}{16}[/tex]
[tex]x = 2.5[/tex]
y
[tex]y = 2x - 5 = 2(2.5) - 5 = 5 - 5 = 0[/tex]
Thus the system has one solution: (2.5,0).
What is the value of g(3)
Answer:
f(3)=2 (from the right table). g(f(3))=g(2)=-3.
Step-by-step explanation:
lemme get Brainliest please
Paul wants to buy a bicycle that costs $86.50. He has saved $60. He earns $5.30 an hour working after school and can save half of his total earnings. How many hours will he have to work to buy the bicycle?
Answer:
10 hours
Step-by-step explanation:
86.50-60=26.50
5.30/2=2.65
2.65*10=25.50
so 10 hours of work to buy the bicycle
What restrictions may be necessary to the domain and range of linear equations?
Answer:
There may be restrictions on the domain and range. The restrictions partly depend on the type of function. In this topic, all functions will be restricted to real number values. That is, only real numbers can be used in the domain, and only real numbers can be in the range.pls answer quickly i need it
What the car monthly payment?? Show work plz
Answer:
$656.25
p=35000
t=5
r=2.5
interest=ptr/100
=35000x5x2.5/100
=4375
amount=p+i
=35000+4375
=39375
now,
5 yr= 5x12months = 60 months
$39375/60=$656.25
i think so...
Please solve this equation. Thank you!
38x-12y = (6+2n)x + (4-n)y
Step-by-step explanation:
the answer is in the above image
Answer:
39x -12y = (6n+2n)X+(4-n)y
6+2n=38
2n=38-6
2n=32
n=32÷2
n= 16
what is (x+2)(x-2) equal ?
Answer:
x^2 - 4
Step-by-step explanation:
since it is in the form of
a^2 - b^2 = (a + b)(a - b)
u can directly write x^2 - 2^2
=x^2 - 4
process :
(x + 2)(x - 2)
=x(x - 2) + 2(x - 2)
=x^2 - 2x + 2x - 4
=-2x and plus 2x gets cancel
=x^2 - 4
What is the area of a circle with a radius of 3.5cm
Answer:
A≈38.48cm²
Step-by-step explanation:
Answer:
38.48 cm²
Step-by-step explanation:
Area of a circle goes by the formula πr²
Substitute in the value of r;
area = π(3.5)²
= 38.48451 cm²
~ 38.48 cm² (2 d.p.)
Evaluate:
will give brainliest
Answer:
80
Step-by-step explanation:
S4 = 2(3°+3¹+3²+3³)
= 2(1+3+9+27)
= 2(40)
= 80
Find the value of (2x-1) -(y+3) when x=3 and y=1
Answer:
1
Step-by-step explanation:
(2*3-1)-(1+3)
(6-1)-4
5-4
1
If this helps you mark as brainlist
Answer:
putting the Given values in equation
(3*3-1)-(1+3)
=8-4
=4
In the diagram below
Answer:
Step-by-step explanation:
Given RT bisects QTS, so
3x+9 = 5x-3
9+3 = 5x-3x
2x = 12
x = 6
Check:
3(6) + 9 = 27
5(6)-3 = 27
checks
78.4 divided by 0.56
78.4 ÷ 0.56 = 140
I just used an online calculator like you could do. But, here you go.
The square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11
Answer:
1,936 square units
Step-by-step explanation:
From the question, we have it that the original image was dilated by a factor of 1/4
what this mean is that the original image was reduced by up to a quarter size to get this new image
Now, to get the original image, we have to enlarge by a factor of 4
So, we simply have to multiply the side length of the new square by 4
We have that as;
11 * 4 = 44 units
Mathematically, the area of a square is the square of its side length
So, we have the area of the square as;
44 * 44 = 1,936 square units
Luke's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when Sue's gauge shows 39.42?
Answer:
so for this we do
39.42*1.08=42.5736
Hope This Helps!!!
⚠️TEST QUESTION PLEASE HELP DUE IN 5 MINUTES⚠️
Answer:
Step-by-step explanation:
The letter c
Pls help me I don’t understand how they got 6 on the first one let alone the rest of the questions. -due tomorrow- will give brainliest—thanks
Answer:
(x, y)
-2, 0
-1, -4
1, -6
2, -4
3, 0
Work:
x^2 - x - 6
(-3)^2 -(-3) - 6
9 + 3 - 6 = 9 - 3 = 6
Just substitute the x values, and solve for y
Answer:
Step-by-step explanation:
[tex]substitute x=-3\\ x^{2} -x-6=(-3)^{2} -(-3)-6=9+3-6=12-6=6[/tex]