Answer:
2
Step-by-step explanation:
add 5/4 and 1/4 to get 6/4 or 3/2
(4^3/2 ÷ 4^1/2)^1/2 = 4^3/4 ÷ 4^1/4
4^3/4 ÷ 4^1/4 = 4^2/4 or 4^1/2
4^1/2 is the square root of 4, which is 2
Answer:
2
Step-by-step explanation:
In first step use the product rule of exponents .
so exponents going to add up.
Then in the second step simplified exponents.
After that Its division rule of exponents. and according to division to the exponents get subtracted.
In the end he would be left with four to the power half. which means square root of 4. which is 2.
a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.
Answer:
Max
Step-by-step explanation:
the function given that h = -16t³+64t+10
the general function Equation:
h = at²+bt+c
=> t at the highest point is defined by t = -b/2a
= -64/2(-16) = -64/-32 = 2 second
the total times that the ball hits the ground
= 2× 2 seconds = 4 seconds.
so, Max is right
Answer:
Solution given:
Let h=0=when the ball hit the ground,the height=0.
h= -16t^2 + 64t + 10.
0=16t²-64t-10
8t²-32t-5=0
∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]
taking positive
t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]
t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]
So
t=4.15seconds closer to 4seconds.So
Max is closer.
How do you prove that lines are similar in triangles if it is parallel? (look at photo)
Answer:
they are similar cuz it resembles a "z" pattern. The angles are so the same.
PLEASE HELP! Math (recursive sequences)
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
A store paid $800 for a computer. To make a profit, they need to sell it for 15%
more than what they paid. What is the new price of the computer
Answer:
$920
Step-by-step explanation:
800(1.15) = 920
a ladder 6m long leans against the wall of house if the foot of the ladder makes an angle 58 degree with tye ground how far is the base of ladder from the wall
Answer:
The base of the ladder is 3.2 meters far from the wall.
Step-by-step explanation:
We need to calculate the base of a right triangle. The given information is:
h: hypotenuse = length of the ladder = 6 m
b: is the base =?
θ: is the angle between the hypotenuse and the base = 58°
To find the base we can use the following trigonometric equation:
[tex]cos(\theta) = \frac{b}{h}[/tex]
[tex] b = cos(\theta)*h = cos(58)*6 = 3.2 m [/tex]
Therefore, the base of the ladder is 3.2 meters far from the wall.
I hope it helps you!
The bike owner counted 32 wheels and 18 seats.
Remember that each bicycle and unicycle has 1 seat. Use b for the number of
bicycles and u for number of unicycles.
Answer:
b = 14
u = 4
Step-by-step explanation:
I manually counted because I forgot how to solve this. HAHA
Hope this helps
- - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 = 18
Take the square root of each side
sqrt(x^2) = sqrt(18)
x = ± sqrt(18)
x =±sqrt(9*2)
x = ±sqrt(9) sqrt(2)
x = ±3 sqrt(2)
WILL GIVE BRAINLIEST
Determine whether each scenario below is an example of a BIASED or UNBIASED sample
Answer:
First : Unbiased
Second : Biased
what is the answer for , 5ײ + 1 + × + 3ײ
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter
Answer:
72 m^3
Step-by-step explanation:
volume of the kiosk = volume of cylinder + volume of cone
volume of a cylinder = nr^2h
n = 3.14
r = radius = 5/2 = 2.5
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x (2.5^2) x 3 = 58.88
Volume of a cone = 1/3(nr^2h)
3.14 x 1/3 x (2.5^2) x 2 = 13.08
13.08 + 58.88 = 71.96
To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
= 72 m^3
( 18points)Help!!!
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Answer:
It's indeed A. Yet I think of reporting multiple same questions as spam and nonsense titles.
but nah, I won't, would be kinda focused on the toxic part then :D
divide the LCM of 48,64,and 80 by thier HCF
Answer:
HCF=8
LCM=480
Step-by-step explanation:
prime factor trees
Answer:
60
Step-by-step explanation:
48=2×2×2×2×3
64=2×2×2×2×2×2
80=2×2×2×2×5
H.C.F.=2×2×2×2=16
L.C.M=2×2×2×2×2×2×3×5
L.C.M.÷H.C.F.=(2×2×2×2×2×2×3×5)/(2×2×2×2)=2×2×3×5=60
7.) The time needed to travel a certain distance varies inversely with the rate of speed. It takes 8 hours to travel a certain distance at 36 miles per hour.
a.) Write an equation to describe the situation. (Note: the variable that represents time must be on one side by itself.)
b.) How long will it take to travel the same distance at 60 miles per hour?
Answer:
t=time
v=speed
t=k/v
8hr=k/36 mi/hr
k=288 mi
t=288 mi24 mi/hr =12 hours.
-------------------
The distance is 288 miles by multiplying 36 by 8.
divide that by 24 mph, and it is 12 hours.
Re write 12% as common fraction in simple form
Answer:
3/25
Step-by-step explanation:
Answer:
=325
Showing Work:
12%=12100
=0.12
=0.121×100100
=12100
=325
[tex]64y + 6x = [/tex]
[tex]\longrightarrow{\blue{ 2 \: ( \: 32 \: y + 3 \: x \: )}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]64 \: y + 6 \: x[/tex]
[tex] = 2 \: ( \: 32 \: y + 3 \: x \: )[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Answer:
2 ( 32y + 3 x)
Step-by-step explanation:
64 y + 6x
factor out 2 from the equation
2 ( 32y + 3 x)
5 oranges cost $2. Find the cost of 20 oranges.
===================================================
Work Shown:
(5 oranges)/(2 dollars) = (20 oranges)/(x dollars)
5/2 = 20/x
5x = 2*20 .... cross multiply
5x = 40
x = 40/5 .... dividing both sides by 5
x = 8
20 oranges cost $8
--------------
Another way to approach the problem is to note that the jump from "5 oranges" to "20 oranges" is "times 4".
5*4 = 20
So we'll apply the "times 4" operation to the old cost of $2 to get the new cost being 2*4 = 8 dollars
Answer:
$8
Step-by-step explanation:
if 5 oranges cost $2 then 1 orange costs 2/5 of a dollar, or 40 cents
20 oranges multiplied by 40 cents is $8
or you can set up a proportion:
2/5 = x/20
cross-multiply to get:
5x = 40
x = 8
Divide and simplify
x^2−9/x^2−16/x^2+5x+6/x-4
step by step pls
thanks
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]
Step-by-step explanation:
i'm going to assume what you have looks like
[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]
Let's start by factoring everything
x²-9= (x+3)(x-3)
x²-16= (x+4)(x-4)
x²+5x+6=(x+3)(x+2)
x-4= x-4
which means what we have looks like
[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]
And I think that's as simplified as it can get
Mary has $27 in her savings account. Each day she adds $1 to this account. Which equation best
represents the amount of money, y, Mary will have in this account after 3 days?
Answer:
y=1x+27
y=1(3)+27
Y=30
Step-by-step explanation:
X=DAYS
M=DOLLARS
Hope this helps brotha
The number of spectators at the 2010 World Cup match between Argentina and Mexico was 82000 correct to the nearest thousand. If each spectator paid 2600 Rand to attend the game what is the lower bound for the total amount paid? Write your answer in standard form
Answer:
$213,200,000 or 2.132*10[tex]^{5\\}[/tex]
Step-by-step explanation:
82000*2600
#1. If someone puts $200 into an account at 8% interest for you when you are born, how much
money will you have when you are 65 years old?
Answer:
$1,040
Step-by-step explanation:
First, turn your percent into a decimal
8% = 0.08
Next, multiply your decimal by 65.
0.08 × 65 = 5.2
Lastly, multiply your product by $200
5.2 x $200 = $1,040
plz help i have like 1 braincell
Answer: Should be (3, 1) :)
Step-by-step explanation:
Answer: (4,-8)
Step-by-step explanation:
you look at the point it is and flip it to a negative
can I get some help in algebra 1
Marking brainliest
What does this quote mean? “The time is always right to do what is right”- MLK. don’t use the internet pls !!
To me, this means doing a righteous act has no constraint based on what situation anyone is in.
find the value of x.
Answer:
x = sqrt(33)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + x^2 = 7^2
16 + x^2 = 49
Subtract 16 from each side
x^2 = 49-16
x^2 = 33
Take the square root of each side
sqrt(x^2) = sqrt(33)
x = sqrt(33)
[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]
To find the value of x. Let's use this formula:[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
Imagine that "a" is the "x".[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]
Hence, The value of x is,[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]
_________
#LetsStudy
Fill in the blanks with two consecutive integers to complete the following inequality.
? < √97 < ?
Answer:
9 < √97 < 10
Step-by-step explanation:
√97 is a little less than √100
Which is 10
9 < √97 < 10
=====================================================
Explanation:
Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2
We can apply the square root to all three sides to get the following
[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]
Using a calculator, we can help verify this
[tex]\sqrt{97} \approx 9.85[/tex]
(120+30)÷[66÷11{26-3×8+(17-4×4)}] plz solve this question plz i will give u 15 points
Step-by-step explanation:
[tex]\frac{120+30}{\frac{66}{1126}-8*3+17-4*4 }[/tex]
[tex]\frac{-42225}{6458}[/tex]
Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.
write an equation that represents this situation?
Pls help
Answer:
30-12=18
18-18=0
Step-by-step explanation:
2x + 12 = 30
X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.
simplify
x2 + 6 − (3x2 − 2x − 5)
You spin the spinner shown below once. Each sector shown has an equal area.
What is P(not squirrel)?
If necessary, round your answer to 2 decimal places.
KAHN ACADEMY
Hope This Helps!!!
Hope This Helps!!!Have A Great Day!!!
Given the similar rectangles, solve for x
1. X=12
2.x=18
X=21
X=14
Answer:
x=12
Step-by-step explanation:
since they are similar triangle .Use these ratios
9/6=x+9/14
do cross multiplication
6(x+9)=14*9
6x+54=126
6x=126-54
x=72/6
x=12