Answer:
n = 3
Step-by-step explanation:
plug in 3 for n in the equation:
Numerator: n + 1 = 3 + 1 = 4
Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8
Simplify the fraction. Divide common factors from both the numerator and denominator:
(4/8)/(4/4) = 1/2
1/2 = 1/2 ∴ n = 3
~
Pls help me with this
At what rate per cent will the intrest on Rs. 2520 add up to Rs. 84 in 8 months
Answer:
The rate of percent is 5%
Step-by-step explanation:
Mr Thompson please help with my new HW
Answers:
C) x = plus/minus 11B) No real solutionsC) Two solutionsA) One solutionThe value 18 goes in the first blank. The value 17 goes in the second blank.========================================================
Explanations:
Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.
Answer:
3125 bacteria
Step-by-step explanation:
Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') = (1/2)r(n) = (1/2)(1/2)r(0) = (1/2)²r(0).
After n hours, r(n) = (1/2)ⁿr(0)
So when n = 4 hours and r(0) = 50,000, then
r(4) = (1/2)⁴r(0)
r(4) = (1/2)⁴ × 50,000
r(4) = (1/16) × 50,000
r(4) = 3125
So, after 4 hours, we have 3125 bacteria present.
What is the equation of this line?
Write the equation in slope-intercept form.
Answer:
we start by finding the gradient which is 2
then we use the formula y-y1=m (x-x1)
which will be = y=2x-7
Please answer the question above.
Answer:
5.3!
Step-by-step explanation:
( in case you need work ) the angles are congruent so you set them equal to each other!
6x+12=9x-4
you then get 16=3x then divided its 5.3!
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
i think it is A
sasha had $1800 and share it in the ratio 2:3:4 between her 3 cousin what was the largest share
900
800
1200
1000
Answer:
$800
Step-by-step explanation:
[tex]total \: units \: = \\ 2 + 3 + 4 = 9 \: units \\ 9 \: units \: = 1800 \\ 1 \: unit \: = 1800 \div 9 \: = 200 \\ largest \: share \: = 4 \: units \\ 4 \: units \: = \: 200 \times 4 = 800[/tex]
Evaluate 5x22– 4 when x = 3
Answer:
18
Step-by-step explanation:
x(x - 1) -y (у-1) =0
[tex]x(x-1)-y(y-1)=0\\x^2-x-y^2+y=0\\[/tex]
The graph is a x.
Help me y'all i really need help
Answer:
that is 2/10 (for the fraction) and 0.2 (for the decimal) if the fraction is to be simplified, it would be 1/5. hope this helps! :D
Step-by-step explanation:
48ft= how many yards
Answer:
16 yards
Step-by-step explanation:
Write the unit rate for the following.
a) kate sews 100 dresses In a 20 day month.
b) Kim runs 5km in 30 minutes.
Answer:
the answer is B
Answer:
For a) The unit rate is 5 dresses per day
For B) The unit rate is 1KM per 6 min
Step-by-step explanation:
100/20=5 dresses
30/5=6 minutes
Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.
Answer:
1
Step-by-step explanation:
Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.
The average value of a function f(x) over an interval [a, b] is
f(b) - f(a)
ave. val. = ---------------
b - a
which in this particular case is
19 - 30
ave. val. = ----------------- = -11/11 = 1
6 - (-5)
The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.
a polygon with 189 diagonals is called
Answer:
189 diagonals have 21 sides.
it is called hectogan take care
Which of the following statements is INCORRECT?
Answer: (8x - 24)
Step-by-step explanation:
DFE are all correct and the other numbers are placed well.
Step-by-step explanation:
C, because 58 can't equal 40
Find the value of x and the measure of the angle labeled 3x
3x
27
A. x= 15; angle measure is 27°,
OB. X = 9; angle measure is 27".
C. x= 9; angle measure is 45°
O.D. x= 15; angle measure is 45°
Answer:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Step-by-step explanation:
What is the percent change from 35 to 63? Indicate whether it is a percent increase or decrease.
Answer:10%
Step-by-step explanation:
its is a percent increase because 35 to 63 is going to be 10% going up.
help !! pls help 6th grade work :(
Answer:
The answer is 4 m
Step-by-step explanation:
You have two values - the height and length and - and you are missing the width.
The volume (353 m^3) of this rectangular prism is equal to b(ase) x h(eight) x w(idth).
So we can create the equation: 352 = bhw = (8)(11)h = 88h
352/88 = 4
Therefore your missing value is 4.
PLEASE HELP
Answer:
sorry if u need help, hope u feel better! :)
Find
(1) The total surface area of a closed cylindrical petrol storage tank whose diameter
4.2 m. and height 4.5 m.
(i) How much steel sheet was actually used, if 1/12
of the steel was wasted in making
of the tank. (anewer quickly and steps in order )
Answer:
The amount of steel used = 94.38 [tex]m^{2}[/tex]
Step-by-step explanation:
Height of the tank = 4.5 m.
Diameter of the tank = 4.2 m.
But,
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{4.2}{2}[/tex]
radius = 2.1 m
Total surface area of a cylinder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]
= 2[tex]\pi[/tex]r(r + h)
= 2 x [tex]\frac{22}{7}[/tex] x 2.1 (2.1 + 4.5)
= 44 x 0.3 (6.6)
= 87.12
Total surface area of a cylinder = 87.12 [tex]m^{2}[/tex]
Since [tex]\frac{1}{12}[/tex] of the steel was wasted, then;
[tex]\frac{1}{12}[/tex] x 87.12 = 7.26 [tex]m^{2}[/tex]
Actual area of steel sheet used = 87.12 + 7.26
= 94.38 [tex]m^{2}[/tex]
Thus, 94.38 [tex]m^{2}[/tex] of steel was used in making the tank.
-18x+2x-15x+23x-12x-4x
Combine like terms
Answer:
-24x
Step-by-step explanation:
Combining them all leads you to get -24x.
7th grade math help me pleasee
Answer:
3 because sigh changes when you take -3 to other side
Answer:
The answer is 3. because since x = 7, 7-3 = 10 is a false equation.
Step-by-step explanation:
If CD is not parallel to EF, what is m2C?
can anybody finish this?
Answer:
No Thanks, and like you said when I asked my question "the answers above i need points"
(Also please stop doing this to people, it's rude and i'm doing this to you so you see this.)
The curved surface area of a cylinder of height 28cm is 352sq.cm. Find the diameter of the base of the cylinder
Answer:
d = 4cm
Step-by-step explanation:
curved surface area (CSA) of cylinder = [tex]2\pi rh[/tex]
h = 28cm and CSA = 352[tex]cm^{2}[/tex]
[tex]2\pi rh[/tex] = 352
2 * [tex]\frac{22}{7}[/tex] * r * 28 = 352
[tex]r = \frac{352*7}{2*22*28}[/tex]
after calculating, you will get r = 2cm
so diameter = 4cm
The area of a rectangular parking lot is 5460²m.. If the length of the parking lot is 84, what is its width?
Answer: The width is 65.
Step-by-step explanation:
84 x 65 = 5460. I got 65 by spamming random numbers in the calculator until I got my answer.
If one of the roots of the equation x² - 4 + k = 0 exceeds the other by 2 , then find the roots and determine the value of k.
Answer:3
Step-by-step explanation:
Given
Quadratic equation is [tex]x^2-4+k=0[/tex]
if one root exceeds the other by two
suppose one of the roots is a, then the other is a+2
The Sum of roots is
[tex]=\dfrac{-\text{coefficient of x}}{\text{coefficient of }x^2}[/tex]
[tex]\therefore a+a+2=-\dfrac{-0}{1}\\\\\Rightarrow 2a+2=0\\\Rightarrow a=-1[/tex]
Product of roots
[tex]\Rightarrow (a)(a+2)=\dfrac{k-4}{1}\\\Rightarrow (-1)(1)=k-4\\\Rightarrow k=4-1=3[/tex]
Find the unknown length x in the right triangle, to the nearest tenth.
D
26
F
Х
55
E
What is the length for x
PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)
Answer:
m+ p+ q= 180°
m+76°+72°=180°
m+ 148=180°
m=180°-148
m=32°