Answer:
a4 = 123
Step-by-step explanation:
Here, we want to find the value of the 4th term
we simply have n as 4
substituting this, we have;
a4 = (a3)^2 + 2
But a^3 = (a2)^2 + 2 and
so we have ;
a4 = [(a2)^2 + 2]^2 + 2
But a2 = (a1)^2 + 2
a4 = {[(a1)^2 + 2)]^2 + 2}^2 + 2
Now, substitute the value of a1
a4 = (1)^2 + 2)^2 + 2)^2 + 2
a4 = (1 + 2)^2 + 2)^2 + 2
a4 = (3^2 + 2)^2 + 2
a4 = 11^2 + 2
a4 = 121 + 2
a4 = 123
5. The points (2, 4) and (6,7) lie on a line. What is the slope of the line? A. 2 B. 1 C. 4/3 D. 3/4
What is cosθ = _____ based on this image
a)-3/5
b)-4/3
c)-4/5
d)-3/4
Use substitution to solve the
following system of equations.
2x + 4y = 12 AND x=y - 3
Answer:
The solution is (0, 3)
Step-by-step explanation:
First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.
Next, substitute y - 3 for x in the other equation:
y - 3 + 2y = 6, or
3y = 9
Then y = 3. Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.
The solution is (0, 3)
calculate 7.5cm in km
Answer:
7.5e-5
Step-by-step explanation:
The radius of a circle is 6 meters. What
is the circle's area?
Answer:
A = 36 pi m^2 or approximately 113.04 m^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 6
A = pi 6^2
A = 36 pi m^2
Using the approximation of 3.14 for pi
A =113.04 m^2
Answer:
A≈113.1
Step-by-step explanation:
A=πr^2=π·6^2≈113.09734
what is the answer when you round 4186.666666666667 to nearst hundredth.
answer fast please in hurry needed. dont give explanation exact answer beeded.
What is the solution to the system of equations
Answer:
Y = 2
X = 3
Step-by-step explanation:
Substitution:
6(4y-5) - y = 16
24y-30-y=16
23y=46
Y = 2
So then:
6x-2 = 16
6x = 18
X = 3
A company gives a bonus to two salespeople, Miss Xu and Ms Trent, in the ratio of the
sales they make in January.
Miss Xu made sales of £24 000 in January.
Ms Trent made sales of £30 000 in January.
a bicycle travels at a velocity of -2.33m/s and has a displacement of -58.3m how much time did it take??
Answer:
25.02 s
Step-by-step explanation:
velocity = distance/time
rearrange for time:
time = distance/velocity
time = -58.3m/-2.33 m/s
time = 25.02s
Explain how to solve this problem in your own words.
Answer:
3 m^8
Step-by-step explanation:
We know that a^b / a^c = a^( b-c) so using the quotient rule for exponents
3 * m^( 7 - -1)
3 *m^(8)
What is the value of X in the figure below? In this diagram ∆ABD is similar to ∆CAD.
Answer:
F. 45/4Step-by-step explanation:
Corresponding sides have same ratio:
AB/AC = BD/ADFind AB:
AB = [tex]\sqrt{20^2-15^2} = 5\sqrt{7}[/tex]Find AD:
AD = √15²-x²Now the ratio:
5√7/15 = (20 - x)/√(15²-x²)√7 *√(225-x²)= 3(20 - x)7(225 - x²) = 9(20 -x)²7*225 - 7x² = 9(400 - 40x + x²)1575 - 7x² = 3600 - 360x + 9x²16x² - 360x + 2025 = 0(4x)² - 2*4x*45 + 45² = 0(4x - 45)² = 04x - 45 = 04x = 45x = 45/4Correct choice is F
How many minutes will it take to bake 24 tortillas
Answer:
72 mins
Step-by-step explanation:
12 mins = 4 tortillas
1 tortilla = 3 mins
3x24=72
72 mins
Answer:
72 minutes
1 hour and 12 minutes
Step-by-step explanation:
[tex]\frac{4}{12}: \frac{24}{y}[/tex]
4 × y = 12 × 24
4y = 288
4y ÷ 4 = 288 ÷ 4
y = 72
Which of these mappings is a function? (PLEASEEE HELP MEEE)))
Step-by-step explanation:
creo..... que es la z ...
Look at the number line below. Write the letter for each fraction in the correct box.
Answer:
DCAB
I arranged in increasing order
Answer:
DCAB
Step-by-step explanation:
[tex]A = \frac{2}{5} = 0.40\\\\B= \frac{2}{3} = 0.66\\\\C= \frac{1}{4} = 0.25\\\\D =\frac{1}{10} = 0.10[/tex]
So moving from least to highest DCAB
A linear function,f, has a slope of -2. F(1) =2 and f(2)=t. Find t
Answer:
t = 0
Step-by-step explanation:
[tex]slope = \frac{f(2) - f(1)}{2 - 1}[/tex]
[tex]-2 = \frac{t - 2}{1}\\\\-2 = t - 2\\\\t = 0[/tex]
3) -7x - 3x + 2 = -8x - 8
What’s the answer Answer???
Answer:
B.
Step-by-step explanation:
I might have gotten this wrong but my mind was telling me it was B hope this helped.
Thanks for your time.
(>.<) <3 Kris
Please give me the answer and show me how you solved it
on number 5 question the answer is 4,5,9
Step-by-step explanation:
it is because a right triangle is composed of 3 different sides (hypothenus, opposite angle and adjacent angle)
Answer:
5) B. 10, 24, 26
6) k = 8.5
Step-by-step explanation:
5) The a and b in context of the triangle have to be greater than the hypotenuse. It can’t equal the hypotenuse. 10 + 24 = 34, 34 > 26 Therefore our answer.
6) Our equation: c = sqrt of a^2 + b^2
C = sqrt of 3^2 + 8^2
*A= 3 B = 8*
C = sqrt of 9 + 64
C = square root of 73
C = 8.54 or 8.5
Giving our answer:
You could always check by listing the values of each side:
A=3 B=8 C=8.5
3, 8, 8.5
And up A and B: 3 + 8 = 11
11 > 8.5
Proving this is a right triangle!
Btw sqrt means square root! ;)
Hope this helps, good luck! :)
helpppppppppppp!!!!!!!!!!!!!!
Answer:
480N
Step-by-step explanation:
answer is in photo above
convert 1/2 by decimal
Answer:
1/2
= 0.5
Step-by-step explanation:
this is very easy
A motorboat takes five hours to travel two hundred miles going upstream. The return trip takes four hours going down stream. What is the rate of the boat in Stillwater and what is the rate of the current?
Answer: [tex]45\ mph[/tex], [tex]5\ mph[/tex]
Step-by-step explanation:
Given
A motorboat takes 5 hours to travel 200 miles upstream and 4 hours to go downstream
Suppose the speed of motorboat in still water and rate of current be x and y respectively.
during upstream
[tex]\Rightarrow 5=\dfrac{200}{x-y}\\\\\Rightarrow x-y=40\quad \ldots(i)[/tex]
During downstream
[tex]\Rightarrow 4=\dfrac{200}{x+y}\\\\\Rightarrow x+y=50\quad \ldots(ii)[/tex]
Add (i) and (ii) we get
[tex]\Rightarrow 2x=90\\\Rightarrow x=45\ mph[/tex]
[tex]\therefore y=5\ mph[/tex]
Thus, the speed of boat in still water is [tex]45\ mph[/tex] and rate of current is [tex]5\ mph[/tex]
can someone pls help for brainlest
Answer:
12.56 in ^2
Step-by-step explanation:
First find the area of a circle with radius 4
A = pi r^2
A = (3.14) 4^2
A =50.24
Since it is 1/4 of a circle, multiply by 1/4
1/4 ( 50.24)
12.56
Answer:
Quarter circle's area is 12.56 inches².
Step-by-step explanation:
Concept:- Firstly, we need to find the area of circle and Since, it is quarter of circle we need to multiply the area of circle by 1/4. and we get answer
✯ Solution ✯Finding area of circle
Using Formula
Area of circle = π × r ²
Where,
r ,is the radius of circleAnd we have given
Radius, r of circle is 4 in.Value of π is 3.14Substitute the value into the formula
Area of circle = 3.14 × ( 4 in. )/²
now,
Area of circle = 3.14 × 16 in ².
multiply , we get
Area of circle is 50.24 nches ²
As have to find the quarter circle's area ,
and we know that quarter is the one fourth of the circle .
Quarter circle's area = Area of circle × 1/4
Multiply , we get
Quarter circle's area = 50.24 × 1/4
Therefore, quarter circle's area is 12.56 inches².
is 69,370 divisible by 8,4,6, or 10
Answer: 69370 is divisible by 10 only
Answer:
10
Step-by-step explanation:
if u divide by 8,4,6 you get decimal answer
45
24
K K
AM
51
이
15
17
15
이
8
15
O
8
17
음
Hope this help!!!
Have a nice day!!!!
Handel and Charles plan to rent one of the two community garden spaces shown. Space A rents for $1.50 per square unit, and Space B rents for $1.25 per square unit.
Answer:
Yesaahhauehwusbwubsauwi8whbwuwbwuwbwjbw
What is the probability of rolling a number less than 4 on a number cube?
Step-by-step explanation:
3/6 is the answer to your question
Select the correct answer.
How would you write this expression as a sum or difference?
[tex]log_{3} (^{5\sqrt{x}} X y )[/tex]
Answer:
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]
Step-by-step explanation:
Given
[tex]\log_{3} ({5\sqrt{x}} * y )[/tex]
Required
Write as sum or difference
Using addition law of logarithm, the equation becomes:
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )[/tex]
Expand
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )[/tex]
Apply addition law
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]
find the measure of angle c
Answer:
add 7+5 and 3+9 and then subtract both answers together and the answer you get should be the answer if the degree
please help me answer this!!
Answer:
(x, y) = (10, 290)
Step-by-step explanation:
From the table
Total fees = fixed + variable
Fixed:
When number of times Ahmed mowed, x = 0
y = 40
When x = 2, y = 65
Rate of change = y2 - y1
= 65 - 40
= 25
y = 40 + 25x
Where,
y = total fees charged
40 = fixed fee
25x = variable fee
Total amount Ahmed will make for mowing 10 times
when x = 10
y = 40 + 25x
y = 40 + 25(10)
= 40 + 250
= 290
y = 290
(x, y) = (10, 290)
Florence invests £200 for two years at 5% compound interest paid yearly. Liam says that the interest that Florence will receive will be £20 is Liam right?
Answer:
No, Liam is wrong
Step-by-step explanation:
Amount invested by Florence = £200
Formula for compound interest = P * (1 + R / 100)^Time period
P = £200
R = 5%
Time period = 2
£200 * (1 + 5/100) ^ 2
=> £200 * 1.05^2
=>£200 * 1.1025
=> £220.5
So the interest = 220.5 - 220 = 20.5
20.5 ≠ 20
Therefore, Liam is wrong.
Hope it helps :)
Please mark me brainliest if my answer helped!