Given:
Consider the given equation is
[tex](4x)^{-2}(4x)^3(4x)^9=(4x)^?[/tex]
To find:
The missing value in the given equation and complete the equation.
Solution:
We have,
[tex](4x)^{-2}(4x)^3(4x)^9=(4x)^?[/tex]
Taking LHS, we get
[tex]LHS=(4x)^{-2}(4x)^3(4x)^9[/tex]
[tex]LHS=(4x)^{-2+3+9}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]LHS=(4x)^{10}[/tex]
and,
[tex]RHS=(4x)^?[/tex]
Let the missing value be k.
For each equation LHS=RHS.
[tex](4x)^{10}=(4x)^{k}[/tex]
[tex]10=k[/tex]
Therefore, the missing value is 10 and the complete equation is [tex](4x)^{-2}(4x)^3(4x)^9=(4x)^{10}[/tex].
Question 1 of 5
The diameter of a basketball is approximately 9 inches. What is its volume?
Round your answer to the nearest whole number.
A. 382 in 3
B. 339 in 3
O C. 38 in3
O D. 3052 in 3
Answer: A
Step-by-step explanation:
382 in 3
A. The objects had the same mass.
B. Object 1 had a higher mass than Object 2.
C. Object 2 had a higher mass than Object 1.
D. Mass would not matter for the machine’s acceleration.
Answer:
the answer is A
Step-by-step explanation:
I need help pls help.
Answer:
it's 2 meters
.........................
634.9201 rounded to 1 decimal place
What are the first THREE equivalent fractions for 4/6?
Answer:
2/3, 8/12, 12/16 I think
2/3,6/9,8/12
........
Find the real-number root.
√-3.24
Answer:
1.8
Step-by-step explanation:
So, we can say that the square root of 3.24 is 1.8 with an error smaller than 0.001 (in fact the error is 0.0000276241). this means that the first 4 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math. sqrt(3.24)' is 1.8
6th grade math help me plzzzz
Answer:
1
Step-by-step explanation: Ellen
Answer:
(4) 7x+21
Step-by-step explanation:
Using the distributive property, 7(x+3) equals 7(x)+7(3), which can be simplified to 7x+21.
PLEASEEE HELPPPP IF CORDINATES PF G ARE (3,8) WHAT ARE THE CORDINATES OF G’’
Answer: B, (4.5 , 12)
Step-by-step explanation:
Here is a shape ABCD.
Calculate the perimeter of the shape.
Give your answer correct to 3
significant figures.
B
С
D
9 cm
O
9 cm
140°
21 cm
24°
А
The shape is made from a triangle and a
sector of a circle, centre O and radius 9 cm.
AD = 21 cm
Angle AOD = 140°
Angle OAD = 24°
Total marks: 5
9514 1404 393
Answer:
59.8 cm
Step-by-step explanation:
The length of arc ABC is ...
s = rθ
s = (9 cm)(220/180π) = 11π cm ≈ 34.558 cm
The length of segment CD is 9 cm less than the length of segment OD. OD can be found using the law of sines.
OD/sin(A) = AD/sin(O)
OD = AD·sin(A)/sin(O) = (21 cm)sin(24°)/sin(140°) ≈ 13.288 cm
Then the length of CD is ...
CD = OD -9 cm = (13.288 cm) -(9 cm) = 4.288 cm
The perimeter is the sum of the segment and arc lengths:
P = ABC + CD +AD
P = 34.558 cm + 4.288 cm + 21 cm = 59.846 cm
The perimeter of the shape is about 59.8 cm.
Wo groups are hiking at about the same speed. Mario's group hikes for 2.5 hours. Seema's group hikes for 4.7 hours and covers 8.8 more miles. How fast are the hikers going? Solve the equation below to find out. 4.7x = 2.5x + 8.8
Answer:
x = 4 miles per hour
Step-by-step explanation:
4.7x = 2.5x + 8.8
Collecting like terms
4.7x - 2.5x = 8.8
2.2x = 8.8
x = 8.8 / 2.2
x = 4 miles per hour
what the recursive formula for 1, 3, 5, 7, 9 11, 13,
Answer:
15
Step-by-step explanation:
1, 3. 5, 7. 9, 11. 13, 15.
A baby weighed only 11.8 ounces at birth. How much lighter was she than an average baby, who weighs about 7lbs 8 ounces?
Answer:
3.8 ounces
Step-by-step explanation:
There is a 3.8 difference between the two numbers, and the difference between the weights
If Millie invests $35,000 in a savings account that earns 3.5% interest, how much interest will she earn after 3 years?
Answer:
$3,675
Step-by-step explanation:
Simple Interest = principal x rate x time
so, simple interest = $35,000 x 3.5/100 x 3
Therefore, the answer is $3,675
Hooe this helped :)
Help please!!! Please right equation and then the answer. #6
Answer:
64 degrees Fahrenheit
Step-by-step explanation:
just get 80 and subtract 16 to get yesterday's temperature since today's temperature is 16 more.
What number do I call for 911 again?
Answer:
you call 911
Step-by-step explanation:
i hope you are doing ok
Answer:
9-1-1 I am pretty sure 0///0
Step-by-step explanation:
am I wrong I-
what fraction is equivalent to 4 3/4
Answer:
19/4
Hope this helps!
Answer:
Is there any answer choices??
im 4 and i need help with my math the question is 11+10
Answer:
21
Step-by-step explanation:
Answer:
I'm hoping this is a troll but it's 21
Step-by-step explanation:
Please click the crown button at the bottom of my answer
pLeAsE hElP
Show workingssssssss
Thankssssssssssss
Answer:
i dont think you would wanna sin cause sin is the ordinary sense of the word and consists of evil acts, whether of thought, word, or deed and yh
Step-by-step explanation:
Softball A high school softball diamond is a square. The distance from base to base is 60 ft. To the nearest foot, how far does the catcher throw the ball from home plate to second base?
Answer:
85 feet
Step-by-step explanation:
60^2+60^2=7200
square root of 7200 is 85
This ellipse is centered at the origin. Find it’s equation. Verticles: (0,-6) (0,6) Foci: (0,-2) (0,2)
The equation of the ellipse will be x² / 36 – y² / 32 = 1.
What is an ellipse?An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.
This ellipse is centered at the origin.
Vertices: (0,-6) (0,6)
Foci: (0,-2) (0,2)
Then the equation of the ellipse will be given as
x² / a² – y² / b² = 1
Let c be the distance between the origin to foci.
Then we have
c = 2
And the value of a will be
a = 6
Then the value of a² will be
a² = 6² = 36
The value of b is the distance from center to one of the Co-vertices. Then the value of b² will be
a² – b² = c²
36 – b² = 2²
b² = 36 – 4
b² = 32
Then the equation of the ellipse will be x² / 36 – y² / 32 = 1.
More about the ellipse link is given below.
https://brainly.com/question/19507943
#SPJ1
what is 70% of 900 please help me
Answer:
630
Step-by-step explanation:
cause thats the answer
Y = - 1/3x +7 find the slope and y intercept
wholesale price: $95
markup percent: 120%
I have to find the solution of the equations
Pls help me lol
A machine stamps 3600 metal parts in 12
minutes. Find the unit rate in parts per minute.
Answer:
300
Step-by-step explanation:
you have to find the matal parts for minute. To do this you can do:
3600/12=300
That's your answer
The parabola y = x is shifted up by 7 units and to the left by 1 unit. What is the equation of the new parabola ?
1 + 5
solution +155
mstr pabola cand off break fast is an 12552
Help me with dis question and Ill be your best freiwnd.
Answer: k = -4
Step-by-step explanation: Hope this helps ^^
PLS HELP ME!!!
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a prime number and not flipping heads is...
Answer:
3/10 or 0.3
Step-by-step explanation:
The numbers in the spinners are given to be:
{1,2,3,4,5}
Total number of outcomes are: 5
On spinning the spinner, the outcomes which are prime are:
{2,3,5}
Hence, the probability that a prime number is obtained is:
3/5
Also, the probability that a head is not obtained i.e. a tail is obtained is:
1/2
Hence, the compound probability of spinning a prime number and not flipping head is:
3/10 or 0.3
This answer was copied and pasted from "virtuematane" on brainly! I just wanted to make sure you got your answer. Thank you virtuematane!
7. f(x) = 2x + 5 What is the value of x if f(x) = 25 ?
Answer:
x=10
Step-by-step explanation:
set the 2 equations equal to each other
25=2x+5 -> subtract 5
20=2x -> divide by 2
10=x ->answer!
Hope that helps!
Answer:
x = 10
Step-by-step explanation:
f(x) equals both 25 and 2x + 5, so set the equations equal to one another and solve for x.
2x + 5 = 25
2x = 20
x = 10
Plug in what you got for x to check if it is right
2(10) + 5 = 25
20 + 5 = 25
25 = 25
If y varies directly as x, and y=-4 when x=8, find y when x=3
I believe it would be negative 9 because your subtracting by twelve again. I hope that helped