Answer:
160,000
Step-by-step explanation
[tex]2^{2} X 4^{3} X 5^{4}[/tex]
2 x 2 = 4
4 x 4 x 4 = 64
5 x 5 x 5 x 5 = 625
4 x 64 x 624 = 160,000
3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?
Answer:
Minimum 3 squares.
Step-by-step explanation:
Let the number of identical squares that will fit in the rectangle = x
Sum of the area of the squares = Area of the given rectangle
x(Side length of the square)²= (length of the rectangle × width of the rectangle)
x(S)²= (40 × 90)
x(S)²= 3600 cm²
For the minimum numbers of the squares,
If x = 1,
S = √3600 = 60 cm
But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.
If x = 2,
2S² = 3600
S² = 1800
S = √1800
S = 42.43 cm
Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.
If x = 3,
3S² = 3600
S² = 1200
S = √1200
= 34.64 cm
Therefore, minimum 3 squares can be fitted in the given rectangle.
PLEASE HELP!!!!!! what is the purpose of arithmetic and geometric sequences?
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
Give me a brainiest, please.
Help please i’m terrible at maths !!
help Math 39 points Asap Probability image below
Answer:
1/10
Step-by-step explanation:
There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.
There are five marbles altogether.
First is 2/5
The second blue is 1/4
The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?
Answer:
4x + 7y = 3365
x + y = 578
x = matinees
y = regular
Step-by-step explanation:
Given
$4 = matinees
$7 = regular
Total tickets = 578
Money collected = $3365
If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;
4x + 7y = 3365
x + y = 578
Solving the system;
Multiply the second equation by (-4)
4x + 7y = 3365
-4x - 4y = -2312
Add the equations
4x + 7y = 3365
-4x -4y = -2312
3y = 1053
Inverse operations
3y = 1053
/3 /3
y = 351
x = 227
Evaluate the expression 36.6 – 24 x 22 ÷ 3
Answer:
-139.4
Step-by-step explanation:
36.6 - 528 ÷ 3 = 36.6 - 176
= -139.4
What is the value of x?
Answer:
answer is 6............
I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon
A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees
Answer:
120 Degrees
Step-by-step explanation:
A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.
3y+2x-4+5x+7
Simplify
Answer:
3y+7x+3
Step-by-step explanation:
3y+2x+5x-4+
=3y+7x+3
In a video store, a DVD that sells for $20 is marked down to $14. What is the
percent discount? *
Explain how you got your answer.
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
continuously? Type the exact answer as your answer (no decimal approximations).
Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:
100 * (1+1.07)x = 400
Then we will take 400 and divide it by 100 getting:
1.07X = 4
Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X
Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.
2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula
where:
P (principal) is equal to hypothetical $100
E (e) is a mathematical constant, which is approximately 2.718
R (rate) is the interest rate, in our case it is 5.5%
T (time) is the time required for money to grow
A (amount) is the final amount desired, which is 4 times larger of $100, thus $400
We have the following:
400 = 100 * e0.055t
400/100 = e0.055t
4 = e0.055t
Then we will apply natural log to both sides of the equations and get the following:
ln(4) = ln(e0.055t)
Since e is the base of ln(x) the equation simplifies to:
ln(4) = 0.055t
Using the calculator to find ln(4) we are getting:
1.38629 = 0.055t
Lastly find t
t = 1.38629/0.055
t = 25.20535202
Plug the answers back to the original equation to verify the answers.
1st part of the question answer: t = 20.4895
2nd part of the question answer: t = 25.20535202
5.) g(x) = -4x + 2. Find x when g(x) = 22.
I'm on a timed test and I wasn't able to study because of personal reasons
Answer:
x = -5
Step-by-step explanation:
If g(x) = 22 and g(x) = -4x + 2, then -4x + 2 = 22.
Isolate x.
-4x = 22 - 2
= -4x = 20
= x = 20 ÷ -4
= x = -5
8cm
20cm
What is the volume of this cylinder?
Answer:
4021.2386 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
What is the constant in the expression -18 - 3a
Answer:
'-18' is the constant in the expression -18 - 3a.
Step-by-step explanation:
We know that in an algebraic expression the constant term has a fixed value and it can not be changed.
For example,
The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.
IN OUR CASE,
Given the expression
-18 - 3a
As '-18' is a fixed number and its value can not be changed.
Therefore, '-18' is the constant in the expression -18 - 3a.
24x0. 6x1. 21x2. 11x5
Answer:
24
6
42
55
Step-by-step explanation:
Answer:
24×0=0
6×1=6
21×2=42
11×5=55
Plzzzzz give me Brainliest!!!!!
A. ( x + 5)
B. ( x - 5 )
C. ( x + 3 )
D. ( x - 3 )
Answer:
(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0
Step-by-step explanation:
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
Find the equation of the line shown
Step-by-step explanation:
at 3=3
at 0=9
at 4=1
[tex]y = ax + b[/tex]
[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]
Answer:
y=-2x+9
Step-by-step explanation:
From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.
So:
0: 9
1:7
2:5
3:3
And the difference of y over the difference of x is the slope
-2/1=-2
So the slope is -2
Therefore, putting the equation together makes:
y=-2x+9
Hope this helps!
Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form
Althea paid $5.00 each for two bracelets and later sold each for $15.00. She paid $8.00 each for three bracelets
and sold each of them for $9.00.
a. Write an expression that represents the profit Althea made.
b. Evaluate the expression. Name the property used in each step.
Answer:
I have the same question
Step-by-step explanation:
message me if anyone helps I need it too
Write 0.721 as a fraction. Show your work.
Step-by-step explanation:
721/100
It is correct answer
What is the value − 3 1/4 ∙ 2 1/3
Answer:
the value of this is-217÷4 = -54.25
Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.
8x-4y=24
sub 8x from both sides
-4y=24-8x
sub 24
-4y-24=-8x
add -4y
-24=4y=8x
Answer:
y=2x-6
Step-by-step explanation:
First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.
8x-4y=24
Subtract 8x from both sides to cancel out the 8.
You should have the equation below left:
-4y= -8x+24
Now, divide everything by negative for so that you are only left with the y.
You should have the equation below left.
y=2x-6
I hope this helped:)
Which graph has a slope of -3?
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Complete question :
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming
Which statement best describes the depth of the fish
From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.
From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
Answer:
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
Step-by-step explanation:
Given the equation :
y = - 7x - 3
y = depth of fish in meters ; x = Number of seconds fish has been swimming
From the equation ; which is written according to the slope - intercept equation, ; y = mx + c
The slope, m = - 7 is the rate of change in y per unit of x
c = intercept, constant, value of y when x = 0
Hence, the true statement in the equation is :
-7 represents descent and meams fish descents at a rate of 7 m per second
At x = 0, the fish is at a depth of 3 m
Which equation represent a circle with a center at (2,-7) and a radius of 4 units ?
Answer:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
Step-by-step explanation:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
When dilating a triangle, to enlarge the triangle you must use a scale factor that is:
A) a number > 1
C) a number = 1
B) a number < 1
D) a number = 0
Answer:
is D
Step-by-step explanation:
because it's the answer
Answer:
o
Step-by-step explanation:
scale factor= 0..........
$9000 principal earning 5% compounded annually, after 6 yr
Answer:
the answer is
$12,130.64
please help me!!!!!
one month Ahmad rented 3 movies and 5 video games for a total of $42. The next Month he rented 9 movies and 7 video games for a total of $72 . find the rental cost for each movie in each video game
Answer:
The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25
Step-by-step explanation:
Let the rental cost of 1 movie be m.
Let the rental cost of 1 video game be v.
Step-by-step explanation:
can someone help me please? find the value of each variable..
Answer:
x = 4, y = 3
Step-by-step explanation:
VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.
Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft
Answer:
its 100% d.)
Step-by-step explanation:
plz mark me